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Full text of "Autolyci De sphaera quae movetur liber ; De ortibus et occasibus libri duo : una cum scholiis antiquis e libris manu scriptis edidit"



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STUDIA IN 



THE LIBRARY 

of 

VICTORIA UNIVERSITY 

Toronto 



is, 



AUTOLYCI 



DE SPHAERA QUAE MOVETUR 

LIBER 

DE ORTIBUS ET OCCASIBUS 

LIBRI DUO 

UNA CUM SCHOLIIS ANTIQUIS 

E LIBEI.S MANU SCRIPTIS EDIDIT 

LATINA INTERPRETATIONE ET COMMENTARIIS 

INSTRUXIT 

FRIDERICUS HULTSCH. 



LIPSIAE 

1N AEDIBUS B. G. TEUBNERI. 
MDCCCLXXXV. 



lipsiae: typis b. g. tetjbneei. 



4° 



MAURITIO CANTORI 



EDUARDO HILLERO 



PRAEFATIO. 



Autolycum Pitanaeum ex Aeolide, mathematicum, Ar- 
cesilai adulescentis , qui cum eo Sardes migraverit, prae- 
ceptorem fuisse Diogenes Laertius tradit libro IV (6, 28 sq.). 
Floruit igitur Autolycus ea fere aetate, qua Alexander 
Magnus regnum obtinuit, et aequalis fuit Aristoteli seni 
ac, nisi forte extremis suae vitae annis Arcesilaum in- 
stituit, usque ad exitum quarti vel ad initia tertii ante 
Chr. n. saeculi aetatem produxit *). Nam Arcesilaum, 



1) Th. Henricus Martin in censura quam egit de Autolyci 
propositionibus ab Hochio editis, Bevue critique d'histoire et de 
litterature, onzieme annee, premier semestre, nouvelle serie, tome 
III % Parisiis 1877, p. 409 sq. haec de Autolyci aetate scribit: 
Suivant Diogene de Laerte, Autolycus, mathematicien grec, de 
Pitane en Asie mineure sur la cote d'Eolide, eut pour disciple 
le philosophe Arcesilaus de Pitane, qui ensuite entra dans Vecole 
de Theophraste, ouverte a Athenes vers 322 avant J.-C. lors de 
la retraite d'Aristote, et qui en sortit tout jeune encore, vsavl- 
GHog (ib. IV, 30); et pourtant Arcesilaus etait dans la force de 
Vdge, ^Kfia^, vers 298 (ib. IV, 45). Cetait donc probablement 
des 322 environ qu'%1 avait quitte Autolycus pour Theophraste. 
Par consequent, Autolycus enseignait vers 322. II etait donc 
anterieur au celebre geometre Euclide, qui . . . florissait sous Pto- 
lemee Soter, mort en 283. Cest donc d tort que Mohammed 
ben Ishak (cite par Wenrich De auctorum graecorum versioni- 
bus. . .syriacis, arabicis etc, p. 209, Leipzig, 1842, in-8°) at- 
tribue seul a Autolycus un commentaire sur les Elements d'Eu- 
clide. Conf. etiam eundem in Memoires de Vlnstitut national 
de France, Academie des inscriptions et belles-lettres, tome XXX, 
premiere partie, 1881, p. 271 sq., Rud. Wolf, Geschichte dtr 
Astronomie, Monaci 1877, p. 113 — 115, Maur. Cantor, Vor- 
lesungen uber Geschichte der MathematiJc, vol. I, Lipsiae 1880, 
p. 380. 311. 



VI PRAEFATIO. 

postquam Autoljcum Pitanae et Sardibus audivit, Athe- 
nas se contulisse ibique primum Xanthi musici, tum Theo- 
phrasti, qui Aristoteli successit, scholas adiisse, denique 
in Academiam ad Crantorem transiisse idem scribit Dio- 
genes. 

Antiquissimus igitur Autolycus est eorum virorum 
mathematicorum, quorum scripta ad nostram aetatem per- 
venerunt; proximi autem ab Autolyco sunt Euclides et 
Archimedes. 

Autolyci theoremata duodecim percenset Pappus Ale- 
xandrinus libro VI 2 ), atque hoc quidem loco, ut in re 
omnibus qui ea legant satis nota, titulum libri, quo illa 
theoremata contineantur, commemorare supersedet, et rur- 
sus alio loco (pag. 612,15) librum nsol xLvov[iivr}g ccpcct- 
Qccg citat non addito auctoris nomine. Sed et Autolyci 
esse hunc de sphaera quae movetur librum et illa ipsa 
quae Pappus percensuit duodeeim theoremata eo libro 
tractata esse codicum manu scriptorum qui hodieque ex- 
stant testimonio satis constat. 

Ioannes Philoponus in Aristotelis physicae ausculta- 
tionis librum II 3 ), postquam Theodosii sphaericorum ra- 
tionem breviter exposuit, qui %coQi6ag ita6r\g ov6iag xb 
GcpcuQwbv 6%rj[ia ovxco xcc 6v\i$aivovxa avxco snL6%iitxsxaL, 
oxl iccv 6cpcciQcc srtLTtiSco Xfirj&rj xvnlov noiel) nal o6a alla, 
Autolycus, inquit, nsol XLVovpivrjg 6cpaioag, yoatyag %al 
06a 6V[i§aivSL xrj KLVOV(iivrj 6cpaiocC) (AEQLXcoxsQog S6xl xov 
©sodo6iov %a\ paXXov xcc> cpv6i%<p nQ06syyi£cov. 



2) Pappi Alexandrini collectionis quae supersunt e libris 
manu scriptis edidit Latina interpretatione et commentariis 
instruxit Frid. Hultsch, Berolini 1876—1878, vol. II p. 518, 15 
— 524, 24. 

3) Scholia in Aristotelem collegit Christ. Aug. Brandis, ed. 
Acadeniia regia Borussica, Berolini 1836, p. 348 b (in Aristot. 
cpvo. cctiq. $' p. 193 b , 25). 



PRAEFATIO. VII 

Librum nsol %Lvov[nivr\g GcpaiQag, Autolyci scilicet, 
laudat etiam scholiasta ad Pappi collectionem (p. 1180,21). 

Libros duo tcsql sititoXcov %al dvGscov et hi codices manu 
scripti, de quibus statim dicturi sumus, et ceteri, quot- 
quot innotuerunt, Autolyco tribuunt. Libri primi ^keql 
imtoXcov nccl dvoscov' theoremata duo citantur in scholiis 
nostris p. 132. 

Longiore disputatione Simplicius ad Aristotelis de 
caelo librum II 4 ) demonstrat varias sphaeras caelestes 
quibus planetae ferantur, a nonnullis viris mathematicis 
ea ratione descriptas esse quae r) Slcc tcov ccvsXvttovGcov 
GcpcaQonoita vocatur, sed neminem mechanicis eiusmodi imi- 
tationibus mundi servare potuisse veras astrorum in caelo 
apparitiones et cursuum quibus ferri videantur rationes: 
ov (jltjv aX ys tcov tceqi Evdo^ov (ocpcclqotcollccl) Gco^ovGl tc\ 

CpdLv6(JL£VCij 0V% OTtCOg tCC VGtEQOV ^at O.Xr\Cp%ivta , CiXV OvSh 
tCC TtQOtEQOV yVCOG&EVtCC XCll tJTc' CCVtCOV EKELVCOV 1tLGtEV%EVtCC. 

%al ti 6sl nsol tcov aXXcov Xiystv^ cov svicc y.ccl KaXXLitnog 
6 Kv&Krjvog) Evd6'£ov [ir) dvvrj&ivtog, ETtELQcc&rj dLccGcoGctL, 

ELTtEQ CCQCC KCCL SLiGCOGSV, dXXcC CCVtO yS tOVtO ^ OTtSQ Y.CCL tij 

otyEL TtQoSrfXov sGtLv^ ovSslg ccvtcov (ii%QL kccl tov AvtoXv- 
aov tov Tlixavaiov ETtsficclsto Slcc tcov vTtoQ-iGscov irtLdsLl-aL' 
xattOL ovds avtbg AvtoXvaog rjdvvfj&i]' 8r\Xol 8s ?\ TtQog 



4) Scholia in Aristotelem coll. Brandis p. 498 — 504 (in 
Arist. 71sql ovQavov §' p. 293 a , 4). Verba Simplicii quae supra 
exscripsimus leguntur apud Brandisium p. 502 b , 7 — 16. Totum 
locum interpretatus est G. V. Schiaparelli in commentario qui 
inscribitur Le sfere omocentriche di Eudosso , di Callippo e di 
Aristotele, qui commentarius, postquam Mediolani prodiit anno 
1875, in Germanicum sermonem conversus est a W. Horn in 
Zeitschrift ftir Mathematik und PhysiJc, Supplement zur histo- 
risch-literarischen Abtheilung des XXII. Jahrgangs, Lipsiae 
1877, p. 101 sqq. 182 sqq. Praeterea de sphaerarum ccvsXlxxov- 
ccov rationibus conf. Martinum in Memoires de Vlnstitut, tome 
XXX, premiere partie, 1881, p. 193—195. 256—264. 



VIII PRAEFATIO. 

''Aqigto&tiqov SiacpoQa. sgti Ss o Xsyco to tcots (isv 7c\v\Giov^ 
sciu Ss ots ctTtOHSicoQYixoTag fjficov avwvg cpavTa^sa&ai. 
Postquam igitur interpres Aristotelis copiosissimus de me- 
chanica sphaerarum imitatione ac de variis quibus motus 
planetarum explicantur rationibus disseruit, ad aliud ar- 
gumentum transgrediens neminem usque ad Autolyci aeta- 
tem docet potuisse demonstrare, quomodo fieret, ut pla- 
netae, id quod ipse oculorum adspectus ostenderet, modo 
propius ad nos accederent, modo remotiores conspiceren- 
tur. De hac igitur quaestione ab Autolyco contra Ari- 
stotherum disputatum est 5 ), argumentis inquam et de- 
monstrationibus , non sphaerae caelestis imitatione, quae 
aliena est ab hoc quidem loco. 

Sed quoniam fuerunt tamen, qui eiusmodi sphaeram 
ab Autolyco fabricatam esse existimarent 6 ), monet me 
ista opinio, ut simili de re pauca adiiciam. Videtur enim 
ex ipsius Autolyci instituto sphaera circa axem suum mo- 
bilis iis ad manus fuisse qui scriptoris theoremata et 
sphaerica et ea quae sunt de ortibus occasibusque per- 
tractarent. Quae sive nigra fuit, creta vel simili materia, 
sive alio pigmento tincta fuit, rursus diverso aliquo colore 
eae lineae, quae ad singula theoremata opus essent, cum 



5) Conf. Schiaparellium 1. c. p. 195, Th. H. Martinum in 
Bevue critique 1. c. p. 410, eundem in Memoires cle Vlnstitut 
1. c. p. 271 sq. In iis quae Schiaparellius primo adnotaverat, 
triennio autem post emendavit, remanet tamen error interpre- 
tationis Graeci verbi Srjloi. Nimirum quae supra exscripsimus 
vcaixoi ovds avTog AvTolvv.og cet. significant ne Autolycum 
quidem id de quo agitur demonstrare potuisse, hoc enim ex 
controversia, quam in Aristotherum instituit, apparere. 

6) Fabricius in Bibliothecae Graecae libro IV cap. XVI 
(olim XIV), vol. V p. 299 ed. Harles., Henricus Aug. Schiek 
Ueber die Himmelsgloben cles Anaximander und Arcliimedes, 
programm. gymnasii Hanoviensis, 1843, p. 32 sq. (de Archime- 
dis globis caelestibus altera particula eodem auctore prodiit 
Hanoviae 1846). 



PRAEFATIO. IX 

suis notis geometricis ducebantur. Itaque cum sic verae 
circulorum, qui sunt in sphaera, descriptiones quasi ex 
ipsa rerum natura repetitae in conspectum discipulorum 
prodirent, minores relinquebantur earum figurarum diffi- 
cultates, quae praeterea ad verba scriptoris in charta de- 
pingendae erant. Has enim quodammodo in planum ex- 
plicatas exhibuit Autolycus, nihil in eo opere curans nisi 
hoc, ut linearum ac notarum ordines ac mutuae inter se 
complexiones perspicerentur. Tales igitur figurae non- 
nullae in codicibus ad hanc usque aetatem propagatae 
sunt, quarum de ratione nos ad libri de sphaera propo- 
sitiones 2 (pag. 8), 5, 6, 8, 9, ad libri de ortibus et occa- 
sibus primi propositionem 10, secundi propos. 4 (pag. 114), 
quaedam adnotavimus. 

Autolyci libros inter antiquissimos praestantissimosque 
refert Iosephus Auria 7 ), eosque e tenebris, in quibus tot 
annos, nescio quo fato, misere iacuerint, a se vindicatos 
esse non iniuria gloriatur. Sed tamen, postquam Auria 
eos libros in Latinum sermonem conversos edidit, rursus 
tria fere saecula intermissa sunt, quibus ipsae Autolyci 
demonstrationes , Graeco scilicet sermone conscriptae, us- 
que in tenebris latuerunt. Quocirca cum nuper Autolyci 
libri, ut Pappi librum VI recte edere possem, Romae a 
me describebantur e codice Vaticano Graeco CXCI 8 ), si- 
mul in publicum usum illos mathematicae doctrinae in- 
signes thesauros convertere instituebam. Sed cum Pappi 
collectionem absolvissem, veterum mensurarum ac ponde- 
rum rationes secundis curis exigendae erant aliaque quae- 
dam opuscula pertractanda. Itaque non prius quam illud 



7) Autolyci de vario ortu cet. (plenum titulum infra exhi- 
bebinius), in praefatione quae inscripta est INTERPRES LEC- 
TORI S. 

8) Conf. praefationem in Pappi volumen II p. VII sq. 



X PRAEFATIO. 

Horatianum nonumque prematur in annum verbo tenus, 
ut aiunt, evenit, Autolyci libri de sphaera et de ortibus 
occasibusque, anno huius saeculi LXXVI Romae excuti 
coepti, anno autem LXXXIII Parisiis ex bibliothecae pu- 
blicae copiis emendati ac scholiis instructi, nunc demum 
in lucem prodeunt. 

Quoniam a nonnullis viris doctis, quos infra laudabi- 
mus, solae propositiones Autolyci editae sunt, dubitatio 
quaedam exorta est, num demonstrationes etiam, id quod 
summum est in omni opere mathematico, adiecerit Auto- 
lycus, aut, si quae adiectae fuerint, utrum ab hoc ipso, 
an forte ab alio recentiore scriptore compositae sint. Quin 
etiam scholia dicere coeperunt pro demonstrationibus 9 ), 
quamvis diversa illorum ratio ab his esse soleat. Quibus 
de opinionibus non opus est plura dicere: omnium, quo- 
rum ea perquirere interest, usui iam patent Autolyci et 
propositiones et illae quas ipse addidit demonstrationes 
accuratissimae et copiosissimae ; denique etiam scholia an- 
tiqua plus ducenta exstant, ac plurima quidem ex Graecis 
codicibus in lucem a nobis prolata, pauca autem in Grae- 
cis nondum reperta, sed tamen ab Auria Latino expressa 
sermone. 

Atque ipsius quidem Autolyci demonstrationes hoc 
quod edimus volumine contineri nostro iure contendere 



9) Ricardus Hoche in praefatione ad Autolyci proposi- 
tiones codice Hamburgensi Autolycum cum scholiis adiectis, tum 
codice Monacensi eiusdem tcsql Hivovfizvrjg GcpuLQccg libellum 
cum iisdem quae in cod. H. leguntur scholiis contineri scribit. 
Similiter Martinus 1. c. p. 411 laudat Auriae interpretationem, 
comprenant en latin les scholies grecques que ces manuscrits 
fournissent, et paulo post secundum Hochium les deux opuscules 
d' Autolycus avec les scholies grecques commemorat. Idem tamen 
£>. 413 iure suspicatur in illis quae Hochius dixit scholiis de- 
monstrationes , quibus ipse Autolycus propositiones suas con- 
firmaverit, latitare. 



PRAEFATIO. XI 

videmur. Scilicet nemini eorum, qui adhuc scriptorum 
mathematicorum propositiones cum suis demonstrationibus 
uno tenore compositas et sic in libris manu scriptis con- 
servatas publici iuris fecerunt, hoc insuper munus impo- 
situm est, ut demonstrationes, id est totius operis partem 
et copiosiorem et graviorem, ab eodem auctore, quem 
propositiones scripsisse inter omnes constaret, profectas esse 
convinceret. Quid, quod ipsum dicendi genus germanam 
antiquitatis speciem atque incorruptam prae se fert? Si 
quibus theorematis singulae demonstrationis partes sub- 
nituntur, ea aut omnino non citantur aut ipsa theorema- 
tis verba repetuntur, neque usquam auctor theorematis aut 
nomen libri aut numerus propositionis afferuntur: haec 
autem omnia vetustissimae dictionis mathematicae propria 
esse satis constat. Accedit fusum fere et prolixum di- 
cendi genus, idem tamen, omissis mediis quibusdam de- 
monstrationis membris, passim etiam hiulcum; accedit 
testis antiquitatis nativa verborum simplicitas ac tenuitas, 
qualis decuit illa mathematicae disciplinae quasi incu- 
nabula. 

Sed forte dixerit quispiam Theodosii sphaerica in his 
de quibus agitur demonstrationibus aliquotiens citari; ergo 
post Theodosium demum, qui primo ante Chr. n. saeculo 
vixerit, scriptas esse demonstrationes; alienas igitur easdem 
esse ab Autolyco, tribus fere saeculis antiquiore. Ad eam 
quaestionem in simili argumento accessit J. L. Heiberg, 
auctor in omni huius doctrinae genere locupletissimus 10 ), 
ac mihi quoque pauca, quae ad eam rem pertinerent, 
nuper commemorata sunt 11 ). Nimirum Euclidis etiam in 

10) Litterargeschichtliche Studien iiber EuJclid, Lips. 1882, 
p. 43 — 47. Hunc Heibergii libellum posthac, ubicunque eius 
citandi occasio redibit, breviter Studia Euclidea vocabimus. 

11} A^fi^ara eig xu GcpttiQind in Fleckeiseni annalibus 



XII PRAEFATIO. 

phaenomenis nonnulla theoremata, quae nunc in Theodosii 
sphaericis leguntur, citata deprehendimus neque tamen ob 
eam causam abiudicamus phaenomena ab Euclide auctore 
Immo sphaericorum libri ante Euclidem fuerunt, quibus 
ille usus est, quosque duobus post saeculis Theodosius in 
eam formam redegit, quae ad nostram usque aetatem 
est tradita. Atqui si ante Euclidem fuerunt sphaerica, 
num incredibile est ante Autolycum quoque eadem fuisse? 
Ne multa, nunquam Autolycus in animum indueere potuit 
de sphaera quae movetur aut de ortibus et occasibus ex 
artis mathematicae regulis libros componere, nisi iam in 
manibus fuissent sphaericae doctrinae elementa, ratione 
geometrica demonstrata. Quae sphaerica vetustissima quis- 
quis composuit 12 ), eundem fere theorematum ac demon- 
strationum ordinem tenuit, qui ex Theodosii sphaericis nobis 
est notus, ac simili etiam scribendi genere usus est. Non 
negaverim equidem nonnulla Theodosium suo ingenio addi- 
disse, pauca etiam emendavisse; sed in plerisque illa quae 
dicimus antiquissima sphaerica simillima fuerunt his re- 
centioribus quae sub Theodosii nomine feruntur. Nam 
Euclidem in phaenomenis usum esse sphaericorum libri 
primi theorematis quattuor, secundi octo, tertii uno de- 
monstrat Heibergius eo quem laudavimus loco; atqui ad 
haec ipsa theoremata demonstranda rursus alia necessaria 
fuerunt, quae in iisdem sphaericorum libris inveniuntur; 
ergo plura etiam quam haec tredecim, quae statim enu- 

{Jahrbiicher fiir classische Philologie, Leipzig, Teubner), 1883, 
p. 415 — 420. Ibi de sphaericis, quibus Autolycus usus sit, dixi- 
mus p. 416 adn. 6. Et conf. eosdem annales, 1884, p. 367 sq. 
12) Ab Eudoxo Cnidio sphaerica scripta esse praeter Hei- 
bergium (1. c. p. 46) suspicatur etiam Paulus Tannery litteris 
mense Septembri anni 1883 ad me missis : J'ai ete joyeux de 
vous voir emettre Vopinion que les Spheriques de Theodose re- 
presentent un ouvrage anterieur d Archimede et d Autolycus. 
On ne peut guere, je crois, penser q%Ca Eudoxe. 



PRAEFATIO. XIII 

ineravimus, in antiquioribus sphaericorum libris iis fue- 
runt quibus Euclides usus est. Et simili argumentatione 
ex Autolyci demonstrationibus formam quandam illorum 
sphaericorum licet restituere. 

Verum alia quoque in Heibergii studiis Euclideis oc- 
currit similitudo, quae ad hanc de Autolyco disputationem 
apte transferatur. Nam ut in phaenomena irrepserunt 
nonnulla recentiorum interpretum supplementa, ita non 
omnia quae nunc in Autolyci libris manu scriptis legun- 
tur eadem prorsus forma qua ad nostram aetatem per- 
venerunt olim ab ipso composita sunt. Velut in demon- 
strationibus quae exstant ad libri primi Ttsql irtixolcQv %cc\ 
dvtisnv theoremata 8 et 10 non semel oQa&^aexM, at in 
ipsa propositione undecima et in ea quae sequitur demon- 
stratione ubique ocp&fosxcti legitur 13 ). Iam cum eundem 
scriptorem has formas longe inter se diversas eadem in 
scriptione promiscue admisisse vix credibile sit, atque 
illud oQcc&r]Gsxcci posteriore demum aetate e vulgari di- 
cendi usu in litterarum monumenta sit translatum u ), theo- 
rema undecimum, in quo vetustior forma ocp&ricsxcct, le- 
gitur, integrum ex Autolyci aetate exstare, contra illae 
quae oQcc&qcsxcci exhibent demonstrationes a scriptore ali- 
quo, qui uno pluribusve saeculis post Autolycum fuit ; in 
hanc quam nunc legimus formam redactae esse videntur. 
Atque in demonstrationem , quae decimum eiusdem libri 

13) Vide p. 78, 19. 90, 3 et 19. 92, 9. 94, 7 et 16. 96, 8 et 12. 

14) Primum qui oQa&r^osxca scripserit citant Galenum tcsql 
XQSiccg xcov sv dvd-Qconov 6C0CMXXI [ioqlcov libro X, vol. III p. 820. 
822 ed. Kiihn. Quamquam aoristus scoqcc&tjv inde ab Aristo- 
telis aetate in usum venire coepit. Conf. R. Kiihner, Ausfiihr- 
liche Grammatik der griechischen Sprache, edit. II, vol. I p. 881, 
W. Veich, GreeJc verbs, new edition, Oxoniae 1879, p. 495. 
Avistotelem ipsum aoristi formis modo dcp&ij modo oQcc&fj ac 
similibus usum esse docet Hermannus Bonitz in indice Aristo- 
telico p. 520. 



XIV PRAEFATIO. 

theorema sequitur, insuper inculcatum est lemma quoddam 
recentius (p. 92, 10 — 94,5), cuius scriptor, quasi sit ipse 
Theodosius Tripolita, zovxco yccQ, inquit, i%Qf}Ca(jis\ra xctl 
sv rcp tvsql ohrjcscov. Denique in demonstrationibus theo- 
rematum 12 et 13 passim occurrit conclusionis formula 
%al tolvvv, aliena a vetustiorum scriptorum usu. 

Ergo sub finem primi de ortibus occasibusque libri 
nonnulla interpolata esse satis constat; at vero alia, quae 
ipse Autolycus eo loco adiunxerat, periisse videntur, si- 
quidem recte ab interprete quodam citatur primi libri 
theorema decimum quintum 15 ), id est secundum post illud 
quod in nostris codicibus est ultimum. 

Secundi libri de ortibus in decimo ac proximis theo- 
rematis quaedam insolito more composita esse commemo- 
ravimus p. 135 adn. 3. 

Contextum Graecum, qui hoc volumine continetur, non 
solum scholiis antiquis, sed etiam continua interpretatione 
Latina adnotationibusque nonnullis illustravimus. Necesse 
autem esse Graecorum scriptorum mathematicorum verbis 
addi versiones Latinas, cum et alioquin constaret et edi- 
tionibus Archimedis, Euclidis, Pappi, quae Heibergio et 
nobis auctoribus prodierunt, satis probatum esset, nuper 
de Autolyco edendo disserens confirmavit M. Curtze, vir 
in omni doctrina mathematica versatissimus 16 ). Ac ratio- 
nem interpretandi eandem fere quam nuper in Pappi col- 
lectione tenuimus, et Graecis verbis accurate exprimendis 
et sententiis formulisque perspicue conformandis sedulo, 
quantum in nobis erat, intenti. Itaque, ne hoc silentio 
praetereamus, ex recentiorum usu Graecam nsQicpsQSLav^ 



15) Vide p. 132 6%oUov iie, p. 133 adn. 5. 

16) Jahresbericht iioer die Fortschritte der classischen Al- 
terthumsivissenschaft herausgeg. von C. Bursian, vol. XI, 1877, 
p. 210. 



PRAEFATIO. XV 

id est partem aliquam totius circuli circumferentiae, Er- 
nestum Nizze, Theodosii interpretem, secuti plerumque 
arcum interpretati sumus; sed in libro de ortibus secundo 
circumferentiam dicere aptius visum est. 

Iam quoniam princeps haec Autolyci scriptorum, quot- 
quot supersunt, in lucem prodit editio, operae pretium 
esse videtur, quibus rerum vicissitudinibus quasi iactatae 
fuerint praeclarissimi scriptoris reliquiae, paucis exquirere. 

Primum enim Autolyci libri in Latinum sermonem ex 
codice aliquo Graeco, ut videtur, verbo tenus conversi 
neque uspiam emendati, passim vero mutilati atque etiam 
auctoris sui nomine destituti, Venetiis anno MDI prodie- 
runt in priore volumine operis quod inscribitur 

Georgii Vallae Placentini viri clariss. de expetendis 
et fugiendis rebus. 

Cuius operis libro XVI sive Astrologiae libro I, cap. II, 
quaternionis cc folio primo verso incipit tractatus: De 
sphaerae mobilitate. Sphaerae puncta aequaliter ferri dicun- 
tur quaecunque aequali tempore aequales ac similes praeter- 
eunt magnitudines cet., quae sunt Autolyci neQL xLvov(iivr}g 
Cycdoag, usque ad verba: similiter demonstrabimus quod 
nequidem aliud aliquod praeterquam e. igitur e. punctum 
centrum sphaerae est , et est in utroque abc. orbium maxi- 
mus ergo est uterque abc. cdb. orbis, quae respondent ex- 
tremo contextui Graeco eiusdem libri. Sequuntur folio III 
verso haec: De ortu et occasu siderum. Stellarum non er- 
rantium ortus et occasus alii dicuntur veri, alii apparentes 
cet., quae conversa sunt ex Autolyci Tteot etcltoIcov %al 
6v6ecov libro primo. Sed octavam Autolyci propositionem 
apud Vallam sequitur duodecima eademque extrema; omis- 
sae igitur sunt propositiones nona, decima, undecima, ter- 
tiadecima. Sequuntur alia theoremata quae respondent 
Autolyci secundi libri propositionibus septem prioribus; 



XVI PRAEFATIO. 

tum folio eiusdem quaternionis VI recto inde a verbis 
Acceptis sub signifero in occasus ad meridiem cet. eiusdem 
libri propositiones tres extremae Latino sermone expres- 
sae sunt, omissae autem illae quae mediae in Graecis le- 
guntur, scilicet octava usque ad decimamquintam. Sequi- 
tur eodem folio verso tractatus qui inscribitur *De signo- 
rum progressu dimensio. Si fuerint quotcunque termini in 
excessu 9 cet. 

Autolyci libri de sphaera propositiones sine demon- 
strationibus suis Messanae prodierunt anno MDLVIII in 
volumine quod inscribitur 

Theodosii sphaericorvm | elementorvm libri. III. | Ex 
traditione Maurolyci Messanensis Mathematici. | Menelai 
sphaericorvm lib. III. | Ex traditione eiusdem. | Mavrolyci 
sphaericorvm lib. II. | Avtolyci de sphaera, qvae move- 
tvr | Liber. | Theodosii de habitationibus. | Evclidis phae- 

nomena | Brevissime demonstrata. | Maurolyci de 

Sphaera sermo. | 

Incipit Avtolyci de spliaera qvae movetur, Ex traditione 
Mavrolyci, liber folio 61 recto, unde pertinet ad fol. 62 
rectum l7 ). Converterat autem Franciscus Maurolycus, ab- 
bas Messanensis, has Autolyci propositiones e libro Arabis 
Zin-Eddin-Abhari, non e Graeco aliquo codice 18 ). Mauro- 
lyci interpretationem Parisiis anno 1644 repetivit Marinus 
Mersenne in ea quam edidit Universae geometriae mixtae- 
que mathematicae synopsi p. 243 — 246. 

Primum Autolyci propositiones non solum Latino, sed 



17) Maurolyci libri quamvis typis olim expressi exempla 
nunc multo rariora sunt quam Autolyci codices Graeci manu 
scripti. Nos Monacensis Bibliothecae regiae exemplo usi su- 
mus, quod uno eodemque volumine continetur cum Bongi my- 
stica numerorum, quo quidem titulo totum volumen obsigna- 
tum est. 

18) Martin, Revue critique (supra adn. 1) p. 410 sq., Ricar- 
dus Hoche in praefatione ad Autolycum p. II. 



PRAEFATIO. XVII 

etiam nativo sermone edidit Conradus Kauchfuss Argen- 
torati anno MDLXXII. Titulus libelli, cuius item pauca 
admodum exempla exstant, hic est: 

Sphaericae doctrinae propositiones graecae et latinae: 
nunc primum per M. Cunradum Dasypodium in lucem 
editae. 

Priorem huius voluminis partem propositiones ex Theo- 
dosii libris 6<p'caQi%cdv , tceqI olk^ecov , tzeqI 'y^ieqcqv %ai 
vvkt&v excerptae occupant. Sequuntur Autolyci proposi- 
tiones his sub titulis: AYTOAYKOY tceqI KLvovfiivrjg Gcpai- 
oag pipxiov ev (p. 36— 40), tumAYTOAYKOY tveqI stu- 
toXcqv %ca dvtiscov kqcqtov (p. 40 — 44), itemque ro Ssvts- 
qov (p. 44 — 50). 

Paucis post mensibus, quam Dasypodius haec in pu- 
blicum emiserat, propositiones librorum de ortibus occa- 
sibusque in sermonem Francogallicum conversas edidit 
Forcadel de Beziers, vir mathematicus, Parisiis anno 
MDLXXII 19 ). 

Ex eadem Dasypodii editione vir quidam et Graeca 
et mathematica doctus saeculo XVIII descripsit omnes 
quas diximus Theodosii Autolycique propositiones. Quod 
apographum extrema folia occupat eius codicis, quem nunc 
possidet Franciscus Eyssenhardt; atque eae quidem pagi- 
nae, quibus Autolyci fragmenta continentur, separatim nu- 
meris 1 — 9, tum rursus eae, quibus Theodosiana descripta 
sunt, numeris 1 — 18 notatae sunt. Edidit autem ipse 
possessor ex hoc apographo, Dasypodii editionis ignarus, 
in Fleckeiseni anualibus 20 ) Theodosii de habitationibus et 
de diebus ac noctibus propositiones, tum ad Autolycum 



19) Scripsimus haec secundum Martinum 1. c. p. 411, li- 
brum ipsum non vidimus. 

20) Jahrbucher fur classische Philologie (Leipzig, Teubner) 
1868 p. 243 sqq. 

Autolycus. b 



XVIII PRAEFATIO. 

variam scripturam indidem enotavit Ricardus Hoche in 
libello, quem statim citaturi sumus. Scriba igitur litte- 
ratus ille de quo diximus Dasypodii paginarum numeros 
in suum apographum transtulit, textum accuratissime, 
omissis tamen accentibus, adspiratione , iota subscriptis, 
repetivit, errores quosdam Dasypodii manifestos, velut 
dvOr}rcu vel indicativi formam naQccylyvrjTcu, in describendo 
correxit, praeterea autem nihil neque coniectura sua ne- 
que vero ullo ex libro manu scripto supplevit. Id quod 
singillatim perscrutari licuit mihi per Eyssenhardti bene- 
volentiam, qui codicem suum excutiendum mihi misit anno 
MDCCCLXXXIIL 

Plenos Autolyci libros in Latinum sermonem conver- 
sos Romae edidit Iosephus Auria, ac librum quidem de 
sphaera anno MDLXXXVII, eos autem qui sunt de orti- 
bus et occasibus anno insequenti, his sub titulis: 

Autolyci de sphaera quae movetur liber. Scholiis 
antiquis, et figuris illustratus: de Vaticana Bibliotheca 
depromptus. Iosepho Auria Neapol. interprete. 

Autolyci de vario ortu et occasu astrorum inerran- 
tium libri duo. Nunc primum de Graeca lingua in La- 
tinam conversi: Scholiis antiquis et figuris illustrati, de 
Vaticana Bibliotheca deprompti. Iosepho Auria Neapoli- 
tano interprete. 

His libris editis egregiam ac vix unquam satis lau- 
dandam operam praestitit vir doctissimus ac diligentissi- 
mus, qui nisi Graecum contextum omisisset (quem qui- 
dem separatim edere animum induxerat), omnibus virorum 
litteratorum desideriis longum in tempus satisfecisset. 
Quod autem editoris fuerit consilium quibusque usus sit 
subsidiis, ipsum audiamus exponentem. Primum in prae- 
fatione ad librum de sphaera INTERPRES LECTORI 
S. D. his verbis: 






PRAEFATIO. XIX 

In Autolyco, et Theodosio id a nobis susceptum est la- 
boris. Principio, Graecum exemplar nostrum manuscriptum 
cum omnibus exemplaribus graecis manuscriptis, antiquissimis 
illis quidem quinque, quae asservantur in Vaticana Biblio- 
theca, quorum mihi copiam meo arbitratu semper fecit huma- 
nissimus vir Federicus Reinaldus, Vaticanae custos, diligentis- 
sime contuli. Scholia omnia, veluti Apes summos flores, ex 
illis, in quibus sparsim essent posita, decerpsimus, et in 
nostram Autolyci, et Theodosii versionem transtulimus. Quam- 
quam aliqua sint fortasse, quae aliena prorsus videantur, tamen 
nos in hoc peccare maluimus, quam committere, ut diligentia 
nostra desiderari possit, si quid fuisset praetermissum: Omnia 
(ut videre licebit) suis apte locis collocanda curavimus. 

Atque idem paulo post, de Maurolyci editione, quam 
ille ex Arabico fonte haustam nobis tradiderit, disserens: 

Ut autem nihil omitteremus , Maurolyci harum trium (ut 
dixi) Propositionum una cum eiusdem scholiis versionem quo- 
que addere voluimus: Ceterum, figuras magna ex parte muta- 
vimus; Quid nos praestiterimus , cum graeca horum librorum 
exemplaria edemus , omnes intelligent. 

Tum in praefatione ad libros de ortibus occasibusque 
INTERPRES LECTORI S. dicit his verbis: 

Quanta ardeam cupiditate, et adiuuandi et illustrandi hoc 
genus disciplinae quae fia&rioCg , seu (ici&rjncc graeco nomine 
appellatur, quae ve ad primum mobile spectat, vel ex edi- 
tione Autolyci de sphaera, quae mouetur, et Theodosij de 
Habitationibus anno superiore potuisti, Lector, intelligere: in 
quorum librorum editione cum multos in hoc genere auctores 
etiam ad scientiam primi mobilis pertinentes, breui me in 
lucem emissurum, pollicitus* essem, faciendum existimaui, vt 
Autolyci de vario ortu, et occasu inerrantium astrorum libri 
duo subsequerentur: in quorum librorum editione, si nihil 
aliud praeterea consequemur, illud certe mihi omnium gra- 
tiam, credo, conciliabit, qubd Auctores antiquissimos, praestan- 
tissimosque in hoc genere, e tenebris, in quibus tot annos, 
nescio quo fato, misere iacuerunt, vindicare sim conatus. Di- 
ligentia eadem in his, atque in ceteris iam editis, adhibita 
est: Nam graecum exemplar nostrum manu scriptum, cum 

b* 



XX PRAEFATIO. 

quinque vaticanis exemplaribus graecis item, & rnanuscriptis 
a nobis collatum est: ex quibus quidem scholia omuia, quae- 
cunque sparsim in illis essent, a nobis & decerpta, & latine 
facta, in singulas propositiones videbis annotata, et addita. 
Locos autem ad scientiam demonstrandam, quoniam in grae- 
cis codicibus nusquam erant, vel ex Euclidis Phaenomenis, 
vel Theodosij xav 21 ) 6cpuiQiY.(ov libris, vel aliis antiquissimis 
graecis auctoribus, ut videre licebit, desumpsimus: in mar- 
gineque posuimus: His tu, Lector, fruere, dum Euclidis Phae- 
nomena, et Theodosii 71sqI vvxzojv, hcci 22 ) tj^isqcov libros duos 
vere aureos, ad primum etiam motum, quem wx&ripsQov 
graeci appellant, pertinentes, breui tempore excudendos cu- 
rabimus. Caetera, si his delectabere, et maiora, vt spero, in 
dies sequentur. Absoluta enim hac doctrina primi mobilis, 
ad Theonis commentaria in Ptolemaei xr\v {isydXriv ovvxcc^Cv 
de graeca in latinam linguam vertenda animus se ipse con- 
uertet. 

Sequuntur alia de Maurolyci scriptis, cuius ex cosmo- 
graphiae dialogo nonnulla citantur. Sed ut ad propositum 
redeamus, praeter haec quae statim laudavimus, quam 
bene Auria meritus sit de Autolyco, omnes paene nostrae 
editionis paginae plane ostendunt. 

Ut supra iam diximus, post Auriae aetatem tria fere 
saecula praeterierunt, quibus nihil quod ad Autolycum spec- 
taret in lucem emissum est. Tandem anno MDCCCLXXVII 
in programmate Iohannei Hamburgensis 

ATTOATKOT IIEPI KINOTMENHC C$AIPAC KAI 
nEPI EniTOA^N KAI ATCE&N. AVTOLYCI DE 
SPHAERA QVAE MOVETVR ET DE ORTV ET OC- 
CASV LIBRI. RECENSVIT RICARDVS HOCHE. 

Quamquam non plenos Autolyci libros, sed proposi- 
tiones tantum, ut olim Dasypodius, expressit Hochius, 
tamen eam ob causam merito laudandus est, quod primus 






21) xcov sine accentu expressum est apud Auriam. 

22) y.ccC cum accentu acuto Auria. 



PRAEFATIO. XXI 

ad codicum veterum duorum auctoritatem, Hamburgensis 
et Monacensis, verba Graeci scriptoris exegit. Censuram 
huius libelli Martinus egit eo loco quem initio citavimus 
p. 409—416. 

Arabicae Autolyci librorum versiones exstant nonnullae 
de quibus agunt Harlesius in Fabricii Bibliothecae Gr. 
vol. IV p. 17 sq., I. G. Wenrich, De auctorum Graecorum 
versionibus et commentariis Syriacis Arabicis cet., Lipsiae 
1842, p. 208 sq. 23 ), F. Wustenfeld, Die Ubersetmngen ara- 
bischer Werke in das Lateinische, Abhandl. der K. Gesellsch. 
der Wissensch. zu Gottingen, vol. XX, anni 1877 actorum 
mensibus Maio et Iulio p. 65, Maur. Cantor, Vorlesungen 
iiber Geschichte der Mathematik I p. 603. Gothae in bi- 
bliotheca ducali complures saeculi noni codices servari, 
qui Autolyci, Theodosii aliorumque astronomorum versio- 
nes Arabicas contineant, et ex his quidem nonnullos a 
Wenrichio nondum citatos esse Guilelmus Pertsch litteris 
Gotha a. 1876 missis humanissime mecum communicavit. 

Restat ut de libris manu scriptis, quos ipsi excussi- 
mus, pauca addamus. Ac Vaticanum quidem unum, ut 
iam dictum est, Romae descripsimus, alios Parisinos plu- 
res illa in urbe contulimus, denique etiam Florentiae in 
libro Laurentiano Autolycea quaedam invenimus. Nostro 
in domicilio versavimus codices Monacensem et Hambur- 
gensem, quod ut per tantum temporis spatium, quantum 
opus esset, facere nobis liceret, Georgii Laubmanni et 



23 N i Locus hic est, ut Wenrichii testimonium de commen- 
tariis in Euclidem iniuria Autolyco tributis, qua de re iam 
supra (p.V) Martinum citavimus, verbo tenus afferamus: Auto- 
lyci nomiue, iuquit Wenrichius p. 209, a Mohammede ben 
Ishak laudantur praeterea commentarii in Euclidis Elementa, 
Aristotelisque Categorias, quorum tamen librorum neque vete- 
rum quisquam, neque Fabricius Harlesiusque mentionem in- 
iiciunt. 



XXII PRAEFATIO. 

Francisci Eyssenhardti, virorum praeclarissimorum, huma- 
nitate contigit ac benevolentia. 

Sequitur codicum conspectus: 
A = Vaticanus Graecus 191 membraneus, saeculi 
XIV, partim etiam XV, continet fol. 64 — 70 libros tceql 
etclxoXcov %al SvCecov, tum fol. 72 — 74 librum tceql klvov- 
fjisvrjg ccpaLQug. Medium inter haec Autolycea locum oc- 
cupat Hypsiclis avacpoQMog 24 ). 

B = Parisinus Graecus 2390, bombycinus, saeculo 
XIII ineunte, ut videtur, exaratus, continet fol. 261 — 264 
librum tceql XLVOVfjLEvrjg ccpaLQag. 

C = Parisinus Gr. 2342, chartaceus, saeculi XIV, 
continet fol. 129 v — 131* librum tceql CcpaLQag, fol. 150 v 
— 154 v libros tceql etclxoXcov xal dvcscov. In 'margine 
praeter figuras plurima scholia partim minio, partim atra- 
mento, eaque omnia minimis litterarum ductibus, qui non- 
nullis locis paene evanuerunt, adscripta sunt. Quae cuncta 
in ordinem redegimus ac suo quodque loco cum iis scho- 
liis, quae in aliis codicibus exstant, in hanc nostram edi- 
tionem recepimus. 

D = Monacensis Gr. 301, chartaceus, ab Andr. Dar- 
mario saeculo XVI scriptus, continet fol. 53 — 75 librum 
tceql (ScpaLQag. 

E = Hamburgensis math. gr. V fol., chartaceus, sae- 

culi XVII, continet pag. 5 — 28 librum tceql 6cpaLQag, 

pag. 29 — 89 libros tceql etcltoIcov %al dvcscov. Breviora 

scholia ad suum quodque locum in margine, alia longiora 

ad librum de sphaera post singulas propositiones , ad li- 

bros de ortibus occasibusque uno tenore pag. 91 — 102 

adscripta sunt. 

24) Conspectum omnium auctorum et librorum mathema- 
ticorum, qui hoc amplissimo codice plurium scribarum manibus 
exarato continentur, praebet Gustavus Parthey in annalibus 
academiae Berolinensis (Monatsberichte etc.) 1863 p. 374 sqq. 



PRAEFATIO. XXm 

Praeterea de paucis quibusdam locis inspeximus codi- 
ces Parisinos Graecos, saeculo XIV exaratos, 2364 char- 
taceum, 2448 bombycinum, 2472 chartaceum. 

Codex Laurentianus plut. XXVIII, 14, folio 301 sub 
titulo avxoXvnov tceqI stclxoXcov ccGtiocov continet libri primi 
de ortibus occasibusque definitiones inde a verbis Tcov 
ccnXavcov usque ad sG%axcog cpctvrj dvvov. Qui pagina no- 
strae editionis 48, 7 cum reliquis codicibus consentit in 
Tcov ds ulri&Lvcov, nec praeterea habet fere quae differant ab 
illis (nisi quod pronomen indefinitum xl sic cum accentu 
acuto et femininum scoa sic cum circumflexo exarata sunt). 

Non alienum videtur breviter hoc loco commemorare 
lcoxa quod vocant subscriptum in codice A plerumque, in 
BC semper omissum esse. In iisdem libris, ac passim 
etiam in aliis, litteris l et v bina puncta, ut formae ex- 
sistant C et v, superscribi solent. 

Siglis codicum quae modo praescripsimus accedunt 
notae librorum, quos supra commemoravimus , editorum 
ab his: Au = Auria, Da = Dasypodio, Ho = Hochio, 
Mau = Maurolyco, Va = Valla, denique Hu = hoc 
editore. 

Litterula s notae codicis paucis locis adiecta significat 
dubitationem de scriptura quae silentio tantum, ut aiunt, 
nititur. 

Uncinis his [ ] ea seclusa sunt quae aliena esse vi- 
debantur ab ipsius scriptoris contextu; contra his angu- 
latis <^ y illa significavimus quae in codicibus quidem 
omissa, sed ab editoribus probabili coniectura addita sunt. 
Parentheseos notae vulgares ( ) ad serisum verborum 
spectant, non ad rem criticam. 

Sequitur scripturae varietas e codicibus excerpta, pri- 
mum in ipsos Autolyci libros, tum in scholia. Numeri 
sunt paginarum et versuum huius editionis. 



XXIV ADNOTATIO IN 



ADNOTATIO IN AUTOLYCI LIBROS. 

2, 1. duToXuKou A, (xutoXuk 8 B. 2. KivouueV 5 B. cqpaT- 

pac D, cqpaTpac pi0\iov ev Da. 3. "Opoi add. Da. 4. A 

B in marg., a' E in marg., d Da, om. ACD. ad 'Oua\ux 

super versum addit icoTax^ujc Paris. Graec. 2448. oca et ead. 
m. superscr. c 'Tav B, 6rav AD, oca CEDa. 5. Tca tc AB, 
ica (omisso re) C, ica tc D, Tcd tc E. f\ BCDDa, r\ A, om. 
EMau (et aequales magnitudines et etiam similes Au). bi- 
eHepxerai et superscr. nrai B. 6. 0' E, in marg. Da, om. 

ABCD. qpepouevov ti A, qpepouevov to B. 7. bio A. 

9. bieHfiXGe BCD. 11. TTpoTdceic add. Da. 12. d C in 
marg., 5 D in marg., A' E, om. AB. crpe^peTai AB. 14. 
6ca ur^ ^ctiv eiri toO dSovoc] praeter polos Mau. \xf\ ecnv 
CDE. 15. cqpaTpa D. 

4, 1. Td ap AB, distinx. CDE. 2. e*|auTf]c, eraso uj, A. 
4. \xr\ £cnv DE. 6. if\ cqpaipa A, if\ cqpaipa D. 9. cqpaipac D, et sic 
passim infra, itemque in dativo cqpaipa vel cqpaTpa. 11. tujv 
a0 ABD, distinx. CE. bf\] vlyv E. 12. to cvtf BCDEAu, 
to afS A. 16. iracav sine acc. A. tou ayp BCDE^lw, toO 
af A. 17. TTi ap euGeTa A, Tfl aji euGeTa D. 18. tf) 

cqpaTpa A, ttj cqpaTpa D. 19. ouca om. C. 20. 21. verba 
bid to Kai Triv TA aiei biau^veiv Trj AB rrpoc 6p0dc tolerari 
possent, si abesset Kai, sic enim repeteretur hypothesis quae 
paulo supra (vs. 15 — 17) posita est; at ille qui haec verba, ad- 
dito Kai, repetivit alienum quid inculcasse videtur. 20. dei 

ABCE, #ei D. 21. Sti Td ojj AB, distinx. CDE. 26. un. 
ecTiv E. 27. tuj d.p D. rr6\ouc om. B. 

6, 1. oi be A pr. m. ex 6 be. 2. ccpaTpa kuk\oi TrapdX- 

\n\oi eiciv D. 3. ur| ecnv D. 5. eri] 6ti D. 7. p A in 

marg., p B in marg., C in marg., p D in marg., B E. 9. 

10. bi^pxerai D, praeteribunt VaMau, percurrent Au. 10. 
kuk\ujv om. Da. 13. Td ap AB, distinx. CDE. 16. Td fb 
AB, distinx. CDE. 17. xb AB. 21. Tap om. D. 22. Td 
Yb AB. oi be fe b£ E. 23. bid Tf\c a]$Y eTUTrebov CE. 
bri] be to ayp i^uikukMov D. 



LIBRUM DE SPHAERA. XXV 

8, 1. eSepx<*c0uj E. to ot 6p A. 1—3. Kai ev Tfj uepi- 
qpopqi Tfjc cqpaipac jueTaKeKivr)c9iu to ArAB f|uiKi>KXiov om. C. 
2. t6 ot I 6p A. 4. etci C. 6. oi df 60 AB, oi fe" b$ C, 

corr. DE. 6)uoia B. dpd Ictiv A. 7. 8. t6, Te f ai- 

Ueiov D. 8. eiri t6 E] eiri to rj E. 9. ei dbuvaTOv E. 10. 
TrapaYrfve^ew] epx^c0uj D. 12. 13. to crf 63 A. 13. ujc 

Tfjv ae rjp AB, uuc ty\v aerifJ CDE, virgulam notae B adscripsit 
Hu (forsitan in codice antiquiore olim scriptum fuerit B, unde 
in codice A mansit litterae p forma similis u). 14. tujv de 

Zp AB. de ri£ A, aerjP BCDE, virgulam notae B adscripsit 
Hu. 15. eirt t6 B' Hu, em to e ABCDE, f ad punctum E' 
Au. 16. €ctiv ty\c D, sed v expunctum. 17. 18. to, tc f 
eiri to e irapaYiveTai D. 19. 6uoiujc 6e D. 20. ou6' E. 

€tt' dXXo ti ABCD, corr. E. 22—25. uf| epx^cOw 6e t6 oyP 
fjUiKUKXiuj (sic) 6id toO 6 ujc e^ei erri Tfjc 0' KaraYpaqpfic D. 
23. 6id tujv aYp ABE, distinx. C (de D vide priorem adnot.). 
25. 6euT^pac] $" C , p' D (ut iam supra adnotatum est). 26 sq, 
circulus 062 parallelus, in quo punctum feratur Au (nisi quod 
Latinas notas H D F habet pro 6 Z). 

10, 1. 6 A0Z] 6 06Zf JZAu (conf. priorem adnoi). post 
Tfj TE add. D compendium vocis trepiqpepeiac. 2. ouoia f| Orj 
et similiter paulo post Tfj bZ irepiqpepeia E secundum notas 
geometricas figurae, quae est in codice, adscriptas; illic enim 
occupat locum notae 6 in nostra figura (p. 8) et vice versa 
6 locum ipsius 0; easdem notas in codice suo legisse videtur 
Au, sed tamen figura eius diversa est a notatione codicis E, 
nostrae autem notationi congrua. 2. 3. irepiqpepeia ecriv 

6uoia* Kai f) AH dpa rf) OZ om. B. 3. Kai f| 0r| dpa E; 

idem in suo codice legisse videtur Au (conf. adnot. ad vs. 2). 
Tfj QZ (ante ecriv 6uoia) CD, Ql (omisso ty}) E, ty) eZ A, ipsi 
DF (id est Ttj ~bZ) Au. ecnv A. 4. koI eici BCD. 4—9. 
Quare circumferentia 0r) aequalis est circumferentiae bZ : aequali 
igitur tempore punctum ad rj veniet, atque 6 ad Z accedet: 
sed quo tempore punctum 6 ad Z pervenit, eodem tempore 
punctum t ad e accedit: aequali igitur tempore punctum y ad 
e, et ad rj perveniet Au (nisi quod Latinas notas C pro Y> 
E pro e et similiter ceteras habet). 4. dpd £cuv A, dpa icz\ 
C. 4. 5. f) Orj 9" Tfj bZ Trepiqpepeia E (conf. ad vs. 2 et 3), 



XXVI ADNOTATIO IN 

similiter Au (ut modo adnotatum est). 5 — 7. ev icuj dpa 

Xpovuj t6 eiri to fj — xal t6 b eiri to Z. ev icuj 6e xpoviy 
to b em to Z uapaYiYveTai E (perinde igitur ac supra 6 et 
6 inter se permutavit). 6. TrapaYtveTat D (sed paulo post 

bis irapaYiYveTai). 8. XP 0VLU t6,t€ y D. 9. Kai to 6 eiri 

to r\ E (conf. ad vs. 5—7). 10. T A in marg., T B in marg., 
j^ C in marg., T D in marg., V E, dvTtcrpoqpov praeterea addit 
C in marg. 11. 6ieH£px€Tai] transmittent VaMau, praeter- 
ibunt Au (iidem interpretes aliis quoque locis futura tempora 
verborum pro praesentibus suo arbitrio ponere, vel etiam prae- 
sentia pro futuris — velut infra p. 12, 11 — 13, p. 14, 19 — 
praeferre solent). 12. cnueia Tivd ABCDEDa. 13. ouoiai 
eiciv AD, 6'uotai eiciv BDa. 14. itoXoi be tcc ap AB, distinx. 
CDE. 16. Td y& AB, distinx. CDE, item vs. 17. 18. t6, 
tc y cniueiov D. 18. 19. biarropeu^cGuj usque ad Treptqpdpetav 
om. C. 20. 6uotd ecrtv A. 21. ur] ecnv E. 22. to,t€ y 

D, item vs. 24. 23. ttjv yc btaTropeoeTai Treptqp£petav E. 

12, 1. 2. xpovtu t6,t€ b D. 2. post Tr)v AH add. B Tf) 

A£, sed ea expunxit prima manus. Kai eici CD, Kai eici E. 

3. dpa ecnv A, dpd cctiv B. 4. ott^p ecnv ACD. 5. 6'uotd 
ecTiv A, ouoid ecTiv B. 6. oub' dMrj E. dpd ecrtv AB. 

7. tt) AZ] Tf) bl Treptqpepeia D, rf\ bl "9?' E. 8. A A in 

marg., A B in marg., b C in marg., A' D in marg., idem E 
tituli instar. 11. oubev tujv BCDE, oubev tov enotavi ex A. 
11 — 13. superficiei sphaerae punctum nullum occidit, nullum 
oritur Va, nullum punctum superficiei sphaerae oritur, nullum 
occidit Mau (liberius Graeca verba interpretantes). 12. 

crjueiov D, crjueiujv (sic) Da. 13. ad verba d\\d Td uev 

cet. D in marg. adnotat d. dei ecn ABCE, dei ecri D. 14. 
d.ei ecTiv ABCE, det ecnv D. semper occultantur Va Mau, 
semper occulta sunt astra Au. 15. ucyictoc add. Hu. 17. 
t6t€ E. 20. €Tri Tfjc om. B. 

14, 2. Trapd\\r)\oc interpolatori tribuit Hu\ nam circulum 
fb horizonti parallelum esse in proximis demum demonstratur. 
3. k0k\oc in contextu omissum in margine add. D. 4. opGdc 
Icti BC, opGdc icri D, opGdc ecri E. 6. cuupdWei et minio 
superscr. cuuTriTrrei C, cuu|3a\ei et in marg. pr. manu cuuTriTiTet 

E. 7. 6rre> ecTiv ABCD. ecrt Y«p BCDE. 9. f^ ante 




LIBRUM DE SPHAERA. XXVII 

dvareXeT in D minus distincte scriptum est. 13. 14. £ctiv ev 
tuj qpavepuj] in ipso apparenti sunt Va, erunt in apparente Au, 
immo ecrtv qpavepd Hu. 14. 15. £crtv ev tuj dqpaveT] in non 
apparenti Va, erunt in occulto Au, ecnv dqpavf) E. 16. e A 
in marg., ? B in marg., € C in marg., G D in marg., E E. 
17. t6t€ pro t6 Te E, et sic passim posthac. 17. 18. ad 

verba irdvra Ta eirl cet. D in marg. adnotat (conf. ad p. 12, 
13). 19. Kal bucerai Kai dvar£XXet Da, et occidunt et oriun- 
tur Va Mau. Tcov B E. 20. evex6r|C€Tai] vertuntur Va, 

morantur Mau. 22. '0 y«P oid tujv CE. 23. 6 ABI"] 6 ajj 
A, ABC (id est ABQ VaAu. 26. cnueia BD 8 , crmeiov A, 

om. CE. occidere et oriri Va, et orientur et occident Au. 
6uvet] 6uvduet (sic) D. 

16, 1. 2. ti cr|jueiov — to A] punctum aliquod C Au (hoc 
igitur loco in Graecis T legit, in reliqua autem demonstratione 
easdem notas habet ac Graeci codices), punctum — d Va. 3. 
6 po ye AB, coniunx. CDE. 4. ad verba orav uev cet. D in 
marg. adnotat y (conf. ad p. 12,13. 14, 17sq.). 5. 6uvet] 6uva- 
cGat D. 6. tov Pr 5e A, tov prbe BCDVa, tov JBeYO E, 

corr. Hu auctore Au. 7. 6t\a re ABCD. Kat irp6c 6p9dc 
om. ABCD VaAu, irpoc opGdc om. E, corr. Hu. 8. dpd 

€ctiv AB. 9. atet ABCD, dei E. 11. Tcov ABE, corr. CD. 
16. Tcov AE, corr. BCD. 19. i A in marg., f B in marg., 
? CD in marg., s' E, ad eandem propos. D in marg. praeterea 
adnotat 6 (conf. modo ad vs.4). 21. eqpdin-eTai E, eqpdiynrat 
Ba. 23. aiei ABCD, Kai E, dei Ba. 24. aiei ABCD, 

dei EDa. 

18, 1. ucvujv kukXoc ueYtcroc E. 2. to re A. 4. eqp- 
dirTeTai E, sed lyerat corr. prima m. in marg. 5. aiei AB 

CD, dei E, item proximo versu. 7. 8. £ctuj y«P ° qpavepoc 
ttoXoc Tfjc cqpatpac 6 6. Kai 6td tujv tou a$f kukXou tt6Xujv Kai 
tou 6 u^yictoc cet. D. 8. tou ABT kukXou] tou apY C. 10. 
11. 6tacTri|uaTt 6e tuj 6a kukXoc YeYpaqpOw 6 ar]l D. 12. ad 
verba 6tacTf),uaTi 6e tuj Er cet. D in marg. adnotat e (conf. 
ad p. 12, 13. 14, 17 sq. 16, 4 et 19). YeYpdqpOuj 6 tk6 B. 13. 
tuj y^ kukXuj B C, item A (nisi quod nihil adnotatum est, utrum 
tuj an tuj, kukXw an kukXuj habeat), idem legit Va, corr. DE 
Au. 13. 14. Tcoc t€ A, Tcoc tc B. 14. TrapdXXnXoc ecrl B, 



XXVIII ADNOTATIO IN 

Trapd\\r)\6c ecri CD. 14. 15. tujv a2r| ykG B (conf. supra 
ad vs. 12). 

20, 1. aiei ecri BCD, aiei ecri A, dei ecri E. 1.2. aiei 
ecTiv ABC, aei ecriv E, aiei, omisso ecriv, D. 3. jui?! ecriv 
AC, uri ecTiv BDE. dei E. 5. cuupa\eTU) D. 6. eirei] 
Kai eirei D. 7. tujv (ante ev Trj ccpaipa) om. D in contextu, 
sed add. prima m. in marg. 8. btya re ABCD. 9. Teuvei 
D. dpd ecTiv AB. 13. 14. eiri btauerpou rr]c arf bis scripta 
sunt in E; sequitur crjueia, sed id expunctum. 15. ecpecrr)Ke 
BCD. 19. 20. Teuverai Kai KaTd to b E. 23. e\axicrr] 

ABCDE, sed A xict partim in rasura. ecrlv Tracujv E. dTro 
toO A] ab d Va, a polo D Au. 25. euOeiac (post AA) om. 
D. ad verba d\\d Kai i'cr| cet. D in marg. adnotat Z (conf. 

ad p. 18, 12 cet.). 26. t^P ecTi BCD. 

22, 2. oube] oubev E. 3. 6 uev dpa ar\l kuk\oc D. 

aiei ecTiv A, aiei ecn BC, ^tei kn D, dei eeriv E. 4. 6 be 
T9a D. aiei ecTiv AB S C, ^ei Ictiv D, dei ecrw E. 5.U 

in marg., I B in marg., Z C in marg., Z D in marg., Z E. 
'Edv 6pi£urv, omisso 6, B. 'Edv 6 6p{£wv ev rrj ccpaipa ku- 

k\oc] Si circulus in sphaera fixus Mau. ev Tfj ccpaipa] rr\ 

ccpaipa, omisso ev, D. 5. 6. t6 tc cpavep6v Kai to dqpavec 

Tfjc ccpaipac D, item Da (nisi quod Tore, ut reliquis quoque 
locis, pro to re). 8. dei E. 9. Troiouvrai] faciunt Va Mau, 
facient Au. 10. ecovrai ABCDEDa, erunt Au, eici Hu 

auctore Va (qui interpretatur similiter inclinantur verguntque 
ad horizontem, quae, omisso verguntque, repetit Mau). Ke- 
K\iuevoc D. 13.14. 6 ABAr Hu, 6 drj p6 A, 6 anP&Y BCDE, 
6 af^pi legisse videtur Au, agb.dhc Va. 16 — 18. ecrwcav 

oi oPyo-Sti oi oPy6 B. 16. 17. ^'cTUJcav oi AB TA] pro TA 
Au suo arbitrio posuit EF, id est EZ, atque item posthac. 
18. 19. Kard aurd, omisso Td, B. 19. dei E. 21. 22. Kai 
bid uev tOuv A B usque ad Tdc buceic interpolatori tribuit Hu. 
bid uev tOuv bp crnueiujv rdc dvaro\dc TrotouvTUJv scholii instar 
adscripta sunt in marg. Paris. 2472 fol. 47 r . 21. tujv bp AB, 
distinx. CDE. 22. tujv oy ABCD, distinx. E. 24. tou E] 
videlicet in puncto H (id est 0) Au. 26. t6 Z] punctum R 
Au, qui similiter etiam in proximis notas geometricas suo ar- 
bitrio posuit. 26. 27. toO ap yb AB, toO afifb CE, toO 

arjpbY D, corr. Hu. 



LIBRUM DE SPHAERA. XXIX 

24,1. eTreZeuxewcav oi (sic) r\Q-Ze-Z$ E. errei] Kai €*ei 
D. 3. to apr^ AE,tov a^b BC, corr. D. 3. 4. 6ixa tc 
ABCD. 4. dpd ecriv AB. 5. toO afab ABCDE, corr. 

Hu. 6. tov ap Yb A, tov a^fb BCDE, corr. Hu. 6. 7. 
tou afJ t6 A, toO a^b BCE, corr. D. 8. ecp<kTr|Ke BC. 

8. 9. toO n£8 D, et in marg. r\lQ repetit prirna m. 9. Terur)- 
Tai] T^iuvnTai E. 10. irepicp£peia r) f|uiceia- r) ZH om. E. 

r\ f||uic€ia ABCD, quam dimidia VaAu, interpolatori tribuit 
Hu (conf. p. 20, 20 sq. et Theod. sphaer. 3, 1). 11. ecri B 

CD, •/. (ut passim aliis quoque locis) E. 12. t6v afJ fb A, 
t6v apYQ BCE, corr. D. ^ 13. Tfjc Zr\ rr\c dTruuTepov eXdccwv 
ecTiv C, Tfjc Zr\ d-rmjTepov eXdccuiv '/.v E, Tf)c Zr\ eXdccurv ecri 
Tf)c iroppuuTepov D. ad verba eXdccuuv dpa cet. D in marg. 
adnotat 9, et ad proximum statim versum i (conf. ad p. 20,25 
cet.). 14. 8tt£p €ctiv dTOTrov C, oirep dTOirov, omisso ecriv, D. 
16. Tf|v dvaTo\f|v TTOifjceTai] orietur Va, ortum facit Au. oid 
6e] Kai 6id E. 19. ad verba ujcre oi AB TA cet. D in marg. 
adnotat TT (conf. modTj ad vs. 13 cet.). dei E. 20. TroioOvTai] 
facient Au (suo arbitrio, ut paulo supra facit pro Trovn.ceTai). 

26, 1. A^yuj oti, omisso 6f|, E. eici KeKXtuevoi] erunt in- 
clinati Au (suo arbitrio). 1.2. tov ap y6 A, tov a^fb BCE, 
tov ap &y D, corr. Hu. 3. ai a^b kju \v C. ercei] Kai 

eirei D. 3. 4. 6 kukXoc 6 r\Z6 A, sed superscriptis notis p et 
a prima manus restituit rectam verborum collocationem. 4. 
touc ap yo «Y 6p A, touc ap y6 (omissis reliquis) B, touc ap 
yb ap oy CD, touc ap-Yb-apOY E, corr. Hu. 5. 6 HZO] 6 
a£8 E. 6. 7. tujv ap yb ap 6y AD (nisi quod D puncta post 
a(S et y6 addit, et lineolam super 6y omittit), tujv a0-Y6-apY6 
B, tOuv apY^ ap 6y C, corr. E. 7. ujcre Kai eKdrepoc tujv AB 
ABAr om. D extremo fol. 65 recto. eKdrepoc tujv a£ y6 ap 
6Y A Fa, eKdrepoc tuuv a|3 • y6 • a0Y6 B, eKaTepoc tuuv a(3 y6 C E 
(nisi quod E apY^ coniungit), eKaTepoc tujv ap-Y6-ap6Y Paris. 
Graec. 2364 fol. 91 T , in quo pallidiore atramento ad marginem 
adscriptum est eKacroc (sic), unusquisque circulus BG EF et 
ABCG (id est aj-5 y6 rjaejj) Au, corr. Hu. 8. kukXujv AB 

Paris. 2364, ©* C (ut passim aliis quoque locis), kukXoc E, cir- 



XXX ADNOTATIO IN 

culus Au. ecri BCD. tov HZO] tov rj£0 kukXov D. 8.9. 
r\ KOivf) dpa auTwv Touf) C. 9. tujv a(J • y6 pa A, twv a(J ► 
Y6, fto D, tujv apyo • P<* E, corr. B C. f| AB (ante 6p0f|) om. 
D. ecri BCDE. 11. dTrrouevac auTfT,c Kai oucac ev tuj 

D. ev tuj r)Z:0K iTTlTT^blU C, €V TUJ Y]ZQ eTriTri6uj E, €V TUJ TOO 
rfZe kukXou eTrnr£6iu D. 12. 6e] 6fj D. eKaTepa D. 13. 
tou f) Z kukXou D (et pro kukXou quidem ku cum compendio 
ou sub u). ad verba f| AB dpa cet. D in marg. adnotat X 

(conf. ad p. 24, 13 cet). 

28, 1. f| uiro ku0, omisso tujv, D. kXicic ecnv A. 2. 
tov ap yb A, T0V a^b BCE, corr. D (nisi quod a0 6y distin- 
xit). 3. f| utto Xv0, omisso tujv, D. ecriv f| kXicic] r) kXicic 
ecriv D. 4. tov ap fb A, t6v afiyb BCE, corr. D (recte 

etiam notas geometricas coniungens). 5. Tct apyb B. 6. 
tou 20 AC B , tou rj£0 BDE. 7. TrapdXXrjXoi eiciv ABD, ©4 
eiciv E (accentus ad oi adiectus compendium scripturae signi- 
ficat). 8. f\ utt6 k]uv, omisso tujv, D. # Tfj utto Xv0 yujvia 

D. 9. f\ uev imo k]uv Ywvta D. riv ABCE, ev fj D. 10. 
tov a0 fb A, t6v apYb BCE, corr. D (nisi quod ap 6y distin- 
xit). 10. 11. f) 6e utto Xv0 D. 11. tt,v] in hanc scripturam 
h. 1. consentit etiam D. 12. tov a{$ yb A, tov afiyb BCE, 

corr. D (nisi quod a(J 6y distinxit). oi a$yb dpa BC. 13. 
tov ap yo A> T 6v apY^ BCE, corr. D (recte etiam notas geo- 
metricas coniungens). kukXov] horizontem Au (repetivit igitur 
eam scripturam quae p. 26, 2 in codicibus legitur). 14. 

fi A in marg., f) B in marg., 'rf CD in marg., H E. 16. eq>- 
apu6couciv ABCD, convenient Au, e^apu^Couciv E, conveniunt 
Fa, congruit Mau. 

30, 1. "Ectuj Yap ev E. 6 ABI - ] ABCD^. 2. uev 
dei ABCE, uev dei D. 6 AE] FG Au et similiter posthac 

notis ex arbitrio electis. 6e aiei hoc loco recte ABC, 

6e dei D, 6e dei E. 3. e^dTrreTai] tangat Au. 3. 4. je- 

YpdcpOuj Tic AE (de D vide proximam adnot.). 4. Tic ucyi- 
ctoc kukXoc eqpaTTTouevoc om. D in contextu, add. prima m. in 
marg. 5 init. 6 60 cy AB, coniunx. CDE. 5 extr. 6 60 
cy A, coniunx. BCDE. 7. Y<*p tic irapdXXriXoc kukXoc tijj a6 



LIBRUM DE SPHAERA. XXXI 

6 cet. D. 8. br\ ecriv A, br\ ecri BC, br\ ecri D, 6^ ecrai E. 
9. Td T Z E Hu, Td bZ ye ABE (item C, nisi quod lineas 
supra bl f€ om.), Td bZfe D (de ordine notarum Z f e conf. 
adnot. ad figuram p. 30). diro toO A] pro cmo in B legi- 

tur t>rr6 (sic); notatus igitur est error u pro d. 10. TCt H B 

A Hu, TCt anp\ ABE (item C, nisi quod lineam tranaversam 
om.), Tct drj p\ D. TrapdWnXoi elciv kukXoi A, Trapd\\r|\oi 

eici kukXoi B, TrapdXXn.Xoi eia kukXoi CE, TrapdXXnXoi kukXoi 
eiciv D. 11. Kai ante YeTpaujLievoi om. C. elci BCD. 12. 
oi ap Tb-per A, oi a^f, 6epr D, corr. BCE. 13. Kai eici 
BCD, Kai eta E. 14. ZH AE] fr]xi AC, Z^te B, Zr\ • Xe D, 
5f, XTE. 15. dpd ecriv AB, dpa */.v E. r) ook E (at 

recte paulo post Tnv 6Ka). 16. irepicpepeia] irepiqpepei (sine 
acc.) D, 7ff E. 18. TrapaYweTai D (at recte paulo supra 

TrapaYiYveTai Kai to cet.). 18 — 20. Kai eri to X Trjv Xe ~Q av 
cneXGov eTri to e TrapaYiYveTai C. 19. 20. TrapaxiveTai D. 20. 
21. orav to d eiri t6 b TrapaYevriTai D. 22. Trap^crai ABCDE, 
sed A ct partim in rasura. Kai to Xe (sic) erri to e C. tcp- 
apudcei] conveniet Va, congruit Au (sed easdem formas p. 32, 
2. 3. 5 redeuntes futuris congruet interpretatus est. 

32, 1. erri t^v BCDE, erri rfj A. 6 60 ey AB, coniunx. 
CDE. 3. t^uvouciv E. 4. ad rrXeiova supra versum tuuv 

6uo add. C, unde TrXeiova tujv 6uo in contextu E. 6"Trep ecnv 
ABCD. 5. 6 ABE] 6 ABEr coni. Hu. 5. 6. erri tov ABr 
kukXov] circulo ABCD, horizonti scilicet, Au (conf. supra ad 

p. 28, 13). 7. 6 ' A in marg., B in marg., e~CD in marg., 
E. 12. ev ccpaipa Y«p E. 12. 13. uiYicroc kukXoc 6 ABr 
ex codicum auctoritate retinuimus, quia scriptor satis habuisse 
videtur ternis litteris, sicut in superiore propositione, circulum 
denotare; sed dubitari non potest, quin idem quartam litteram 
b ad eundem circulum eo fere figurae loco, quo nos adscripsi- 
mus, pertinere voluerit, id quod Auria quoque significavit 
c maximus circulus ABCD 7 interpretans. 18. ouo cnu.e!a rd 

Y~e AB, distinx. CDE, duo puncta, scilicet B et E, Au (idem 
etiam in reliqua demonstratione notas geometricas suo arbitrio 
elegit). 22. rd fi AB, distinx. CDE. 25. Y«p oi 2^ E. 

26. Td Y€ AB, distinx. CDE. eTrei] Kai errei D. 26. 27. 



XXXH ADNOTATIO IN 

AoHoc ecn BCDE. 27. irpdc touc TrapaX\f)Xouc] ad omnes 
circulos parallelos FEGH et KBLD Au (qui post pardllelos 
omisisse videtur velut). 

34, 1. f| yZ Trepiqpepeia dpa Tfjc cet. B. 13. uirep yfjv 

ABCDE, super (omisso terram) Va, supra terram Au, uirep 
tov 6pi£ovTa coni. Hu (nam de qualicunque sphaera quae con- 
vertitur et de punctis quae sunt in eius superficie, non de 
terra et astris agitur). fr\v ecri CD, ff\v ecriv E. 15. Ta 
Zj) ABD, distinx. CE. dcrpa ABCDE, astra VaAu, crjueia 
coni. Hu (conf. ad vs. 13). 18. 19. Tfjc fJK€ BCDE, Tfjc Re 
A. 19. ecTUj] gcrtti t«P E. f\ Z ¥f D. 20. errei] xa! 

errei D. ouoid cctiv AB, ouoia */.v E. r\ ZQ "9" C (omisit 
igitur t) 23. 24. erri to E* irpoTepov dpa Kai to Z eiri to T 
7rapaYVT veTai rjirep om. D. 

36, 1. 1 A in marg., TBCD in marg., I' E. 3. 4. ev 
uiqi irepiqpopa Tfjc cqpaipac om. D Da , in una circumferentia 
sphaerae Va, in uno sphaerae ambitu Mau, in una sphaerae 
revolutione Au. 4. ecrai] fit Mau. 5. ABI"] ABCK Au 

(idem paulo post pro AZE posuit ADFE, pro A G, et simi- 
liter in reliqua demonstratione litteras suo arbitrio elegit). 7. 
aiei ABCD, dei E. 8. 6 aZe kukXoc ABCD, 6 aZer\, omisso 
kukXoc, E. 9. 6 6 ABCDE, punctum G Au, quod respondet 
Graecis to A, neque tamen scriptura codicum mutanda est. 
12. tujv ab ABE, distinx. CD. 13. toO apT kukXou tt6\ujv 
D. 14. €TT€ibf| E. CKdTepoc A, eKaTepa et super a prima 
manu compendium syllabae oc B, emT^pa CDE. 

38, 1 init. Zbr\ BCDE, £b A. 1. tov aZerj kukXov E 

(conf. supra p. 36, 8). 2. dpd lcnv B. 3. to Z criueiov 

Tf)V Za extrema sunt in D fol. 70 recto; eodem folio verso re- 
petuntur tt) ef) Trepiqpepeia. ev i'cuj usque ad Tfjv £a, sed haec 
expuncta. 4. bieXeuceTai] transibit Va, percurrit Au. 7. 
post verba to E TrapaT^vrjTai C addit haec: 6 £t© ©^civ e^ei 
Tfjv abe* Td t«P r\ Z cr)ueia eqpapudcei eTrl td a e* Kai (sequun- 
tur r\ Zhr\ Trepiqp^peia cet.). 7. 8. f) ZAH Trepiqpepeia eqpapuo- 
cei eirl ir\v AAE Trepiqp^peiav] et circumferentia DGE positio- 
nem habebit, veluti AGF; nam D et E puncta conveniunt con- 
gruuntque cum punctis A et F: et circumferentia igitur DGE 



LIBRUM DE SPHAERA. XXXIII 

circumferentiae AGF congruet Au (conf. scripturam codicis C 
ad vs. 7 adnotatam et vide figuram apud Auriam expressam, 
quae longe distat et a nostra et ab illa quam Graeci codices 
exhibent). 9. tov a60 BCDE, tov a06 descripsi ex A. 9.10. 
d\\' 6 a60 kukXov E (error scribae ex compendio, quod in ar- 
chetypo fuerit, ortus esse videtur). 10. 6p06c ecn BCDE. 

10. 11. Kai 6 BAr apa kijkXoc 6p06c ecrtv rrpoc tov ABr kukXov 
om. B. 11. 6p06c ecTi CD, 6p06c •/. E, 6p06c e"crai coni. Hu. 
16. i*| Zbt} ABE, i 5 ! lb C (litteram 6 duxit prima manus super 
aliam nescio quam), i^ 2 bi-j E. 

40, 1. ecrt BCDE Paris.2364. 2. 6 BAr opa] 6 r~0Y dpa 
E. 6p06c ecrtv A, 6p06c ecriv C (ecriv compendio scriptum), 
6p06c ecTi BDE (in E compendium vocis ecTiv), 6p06c ecTi 
Paris. 2364, 6p06c ^CTai coni. Hu. 3. TrdXtv bi] orav usque 
ad 7. rrXeov f| 6ic ecrat om. BCDE Va Au (in codice Parisino 
Graeco 2364 etiam verba, quae hunc locum antecedunt, Kai 6 

p6y dpa "0°> 6p06c ecri upoc tov apy © i^ contextu omissa, 
sed eadem manu in margine adscripta sunt; deinceps item 
in margine, scholii instar, adiuncta sunt verba irdXiv bx\ 
6rav cet. , quae abesse a BCDE diximus). 4. 6ie\0ujv A, 
corr. Paris. 2364. 5. irapecrai A, TrapaYevrjceTai Paris. 2364. 
6. 6 poyo A, 6 p6r Paris. 2364, corr. Hu. eHei A prima 

manu partim in rasura ex etxev, ut videtur. • 7. 6ic] |T A, 
eiusdem litterae eam formam quae Latinae u similis est cum 
compendii ductu exaravit et spiritum lenem (voluit accentum 
gravem) superposuit Paris. 2364, quam ad notam recentior ma- 
nus in margine adscripsit 6ic. ecrai A, item Paris. 2364 

prima manu, in quo kliczax mutavit recentior manus. 9. ku- 

kXoc (post Tfjc cqpaipac) om. B. 11. ia A in marg., la B in 
marg., la C in marg., Id D in marg., la' E. 13. ueficroc 

om. D Da. 14. dTrTnrai %\ u>v 6 6pi£uuv] drrTeTai f\ 6 opitwv 
D, om. Da. 16. ujv e^dirreTai ABDE, quos attingat Va, 
quos attingit Mau, om. C (tangit scilicet is circulus qui modo 
dXXoc tic XoHoc cet. appellatus est, non horizon, ut est apud 
Auriam f quos horizon tangit'. TroieiTai ABCE, facit Va 

Mau, TTotricei D Da, faciet Au, 18. 19. 6 ABr] ABCE Au. 
25. tou AA] ut ad. Va, AD Au, AAE coni. Hu. 27. 6 l~Z] 
RK Au (qui in reliqua etiam demonstratione litteras suo ar- 
bitrio elegit et figuram plurimarum linearum farragine satis 

Autolycua. C 



XXXIV ADNOTATIO IN LIB. DE SPHAERA. 

impeditam appinxit). 28. post dTrrecGuj add. toO a6 D. tujv 
2prrj A, distinx. BCE, tujv pz • yn D. 28. 29. f\ uiv 6 ABr 
k\jk\oc ^qpdTTTeTai om. D. 29. Td 2r| AB, distinx. CDE. 

42, 1. tci Pr AB, distinx. CDE. \erwv oti D. aiel 
ABCD, del E. 2. dvaTeXei D s , dvaT^Wei ABCE. 4. Td 0k 
AB, distinx. CDE, item vs. 5. 6. 6. 7. tujv XGJu-vkE DE, 
ol \0 jurj k£ (sic) A, oi \9 pTv k2 BC, orbes per quos ferantur 
bk. puncta . nempe lh.mn.kx. Va, circuli TSQ et VMY, in 
quibus puncta Q et V ferantur Au. 7. etrel] Kai eTrei D. 8. 
aiei ABCD, dei E. 10-13. 6uvei, to 6e aiei bid uev toO 
M dvaTdXXei 6id 6e toO om. D. 11. del E, itemque posthac 
(in aiei ubique consentiunt ABCD). 17. Tfjc ME] Tf|c H|u D. 
18. Tfic \v C 9 D S E, Tfic Xr\ AB. 22. S\ujc 6 Zy D. 25. 

TroieiTai] facit Va, faciet Au. 26. u3 A in marg. , lp B in 
marg., IB C in marg., ifl D in marg., IJ3' E. cpepouevov] de- 
latum Va Mau, mobilem JDa (unde f delatum aliquem seu mo- 
bilem' concinnavit Au). <pepou.evov Tivd ABDDa, accentum 
corr. CE. 27. dei Tejuvn. 6ixa E Ho. 27.28. un.6<h:€poc 6e] 
uf|6£T€poc 6e AB, accentum corr. CD, 6 6e erepoc E. 29. 
Tf|c (ante ccpaipac) om. Da. Icrai] est Au. 

44, 1. u£vwv kuk\oc 6 ABr] manens seu fixus circulus 
ABCD Au. 2. tov l~AB] scilicet EBFD Au (qui in reliqua 

etiam demonstratione , itemque in figura, litteras suo arbitrio 
posuit). 3. uf)6e : T€poc AB, un.6 5 erepoc E, corr. CD. 5. twv 
AI~B TAB] tujv apY, l60 D, twv a^P E (omisit igitur alterius 
circuli notas). u^yictoc Ictiv E. 8. toO p6y kuk\ou D. 

10. KCVTpov ecTi AB, accentum corr. CDE. 12. atei ecriv D, 
dei ecTiv E. 16, diovoc ecriv D, d£ovoc ecriv (sic) E. 17. 
uf) ecTiv E. 19. eirei] Kai e-rrei D. dei E, item vs. 21. 20. 
ecriv AE, ecTi B, ecri CD. 21. Kard toO kuk\ou toO e^rj B. 
6 €lr] kuk\oc dpa D. 25. e^env] -/.v E. 26. dpd ecTiv A, 
dpd ecn B, dpa ecri CDE. 27. KeVrpdv ccti A, KevTpov ecTi 
E, accentum corr. BCD S . 29. post Tfjc ccpaipac repetit to "e 
cn,u€iov* ufj ydp, ^W ei 6uvaTov ecrui KeVrpov Tfjc ccpaipac D. 

46, 1. eTruteuxOuj A. 1. 2. dpd £cn Tf|C apaipac AB, acc. 
corr. CE, dpa Tf|C ccpaipac ecriv D. 2. €KdT€pov ydp tOuv Ge 
AB, distinx. CDE. 3. dSovoc ecnv A, dHovoc €cti B, dEovoc 



ADNOTATIO IN LIB. DE ORTIBUS I. XXXV 

ecri CD, acc. corr. E. 4. kuk\6c kxiv AB. 6 por D. 6. 
toO 06y kukXou D. 8. 9. tov $bf kukXov D. 9. 10. 6 poy 
kuk\oc D. 11. 12. 6 por dpa D. 12. 6p06c ecrt BCDE. 

14. KeVrpov ecTt AB. 15. ou6e ABC, ou6' E, compendium 
brevissimum ac vix perspicuum exstat in D. dWo ti E, d\\ J 
oti A, d\\6 ti BC, d\\6v ti D. 16. KevTp6v ecrt AB. 17. 
ev (ante eKaT^pw) om. B. tujv a$y ■ Pto kuk\ujv D. 18. 

dpd ecnv A. tujv a0Y ■ P&Y kuk\ujv D. in fine add. t^\oc 
tou auTo\uKOu irepi Ktvouuivr)c cqpatpac B, tc\oc auTo\uKou 
rrepl Ktvouuevnc cqpat^ D, t^\oc E, T&oc tou uepi Kivouu-evnc 
cqpatpac Auto\ukou Da. 



48, 1. duTo\uKOU A, Auto\ukou E. 3. to d A, om. C, 
a', omisso t6, E, trpujTOV Da, to trpujTOv Ho. 4. "Opot add. 
Da. 5. a E in marg., d Da, om. A C Laurent. XXVIII, 14, 
fol. 301. dcrepujv C. 7. p' E in marg. Da, om. AC Lau- 
rent. TOuv 6e] Kai tujv Da Ho. euOa CEDa, £uua A, et 
similiter in reliquo contextu ACE t subscriptum constanter 
omittunt, atque A spiritum lenem ponit pro aspero (in adno- 
tationibus tamen, quae in A ad figuras libri II theorematis VI 
etc. tenuissimis ductibus adscriptae sunt, spiritus potius asper 
quam lenis exaratus esse videtur). 8. dcrp6v ti E, itemque 

vs. 10. 12. 16. 19, p. 50, 2. 4. cuvavaT^Wei E. 9. t' e in 
marg., y Da, om. AC Laurent. 10. 6uvet E. 11. 6' E in 
marg., 6 Da, om. AC Laurent. dua tou n\tou 6uvovtoc AE, 
sole occidente Va, statim occidente Sole Au, corr. C Da. 12. 
dvaTeWn A, cuvavaTeWn C (omissum t, quod subscriptum vo- 
cant, posthac non adnotabitur). 13. e' E in marg., e Da, 
om. AC Laurent. 15. S' E in marg., s Da, om. AC Laurent. 

16. dvaTn\ai Da, item vs. 18. rrpujTUJC AE Laurent., Trpuj 
cum compendio syllabae ujc C, TrpuJTOv Da. 18. t' E in 

t 
marg. Da, om. AC Laurent. 19. TrpujTUJC AE Laurent., Trpuj 

cum compendio syllabae ov C, TrpuJTOv Da. 6uvo-\t A C E Da 
Ho, et sic posthac iidem constanter. 

50, 1. y\ E in marg., fj Da } om. AC Laurent. .uerd to 
A, ueTd, omisso t6, C, ueTd et to pr. m. super versum E. 2. 
6uvat C 8 Ho, 6uvat AE Da, item vs. 4. 3. 9' E in marg. Da, 
om. AC Laurent. 4. dcTpov ti cpavfj 6uvov ecxaTUJC Da. 5. 



XXXVI ADNOTATIO IN 

TTpOTdcetc Da, ITpoTaac a' E, om. AC. 6. a AC in marg., 
om. E (TTp6T. d. Oeuup., et similiter posthac, Da). dcr£pwv 
Da. 7. ucrepai eici (id est eictv) A, ucrepai eici C, ucrepat 
eici Da. 8. £areptoi AC (quam formam edere non dubitavis- 
sem, si usquam in singulari eoT^ptoc reperissem pro ecrrepia). 
9. irp6Tepai eici kDa (codex E non differt ab editione nostra, 
nam eiciv, quod Ho ad hunc locum adnotat ex E, pertinet po- 
tius ad vs. 7, ubi E ucrepai eictv habet perinde ac nos edidi- 
mus). 13. uiro yf\v CE, utt6 rf\v A. 15. dcTp6v ti E (item 
posthac). 16. a\n6ivri ecriv A, accentum corr. CE. 17. 

ecTt CE. 19. 20. to b CE, item A, nisi quod b prima manus 
ex 5t correxit. 20. ad rjXiou E in margine adnotat com- 

pendium & , quod quidem pro r\Xiov alioquin in contextu 
passim habet. 

52, 5. tou b AC, toO 6e E. 6. ad fjXtoc E in marg. 

adnotat compendium & . 7. 8. eiri to a (ante TrapaYevr|Tai) 
CE (idem legit Au), eiri to TrpOjTOv A. 8. r) add. Hu. 13. 
€CTt A. 8ti om. E. 14. ucrepov ucrepov A (recte unum 

ucrep6v CE). 17. ad Treptcp£peiav E in marg. adnotat com- 
pendium ~qt* v , quod alioquin in ipso contextu ponere solet. 
18. ctpd Ttvac C. 20. excpeuYei C. tou (ante f)\iov) add. 

A pr. m. super versum. 23. 24. x) <paivou£vr) £uua 6uctc A, 

f\ tuja (sic) qpatvouivri 6uac C, f\ £uua qpatvouivri buctc E. 

54, 2, to 6 AE, to a C. 6. ou6e }if\v Hu, oure ur^v 

ACE. 10.11. Trp6c to r\- tou r]\iou dpa E. 18. 19. dcrpov 
ti C, dcTpov ti E (ut aliis quoque locis: vide ad p. 48, 8. 50, 
15). 27. Trpoc to rj (ante tou dpa) E, sed idern paulo post 
recte rrpoc tiSj rj (ante tou B). 

56, 4. TrpoTep6v ecnv coni. Hu. 5. "Ectuj Td ai)Td cet.] 
super hunc versum E tituli instar ponit T6 eipr|uevov. Tr^v 
lya C (sed paulo post vs. 14 idem ty\v y£« perinde atque AE). 
9. to f) AC 8 , t6 l E. 17. jj A in marg., C in marg., B' 
E. dcrepujv AC, corr. E Da. qpatvouevov C (idem paulo 
post vs. 19 recte cpaivouevnc). 18. 19. eTrrreMov uexpt] dva- 
t£\\ov ewc posuit scriptor demonstrationis theorematis X 
p. 88, 17. 19. Tf]C ecrrepiou qpatvou^vric dvaTo\f|c Da. 20. 
ouOevl AC Da, ou6evi E Ho. 25. tcaTa del. Hu. to A] 

tuj 6 E. 26. Ocrepai eict 6e E. 



LTBRUM DE ORTIBUS I. XXXVII 

58, 1. toO A] tou d ACE, corr. Au (etiam Va notam d 
habet, sed totum hunc locum liberius vertit). 2. toO rjXiou 

E, toO rjXiou (£ A, toO f tf' , ut passim aliis locis, C. 9. to 
A] to d ACE 7 corr. Au. 16. y A in marg., y C in marg., 
r E. 18. ev d\w (sic) A. 

60, 1. oubevl Ho. 2. £\accov A. 3. 6pi£wv ACE, cir- 
culus Horizon Au. ZwbtaKoc ACE, item £uubtaKoO iidem 

vs. 24, et similiter posthac constanter sine i subscripto. 4. 
utto Tnv yr\v E. 5. dcTpov ti A, dcrp6v ti CE. 6. 7. d\n- 
Givrj eiOa buac] verus matutinus occasus Va, occasus matuti- 
nus Apparens Au (sed eundem pro Apparens voluisse Verus 
docet definitio huius libri tertia — apud Auriam f Diff. 2' — 
in margine citata). 16. ou (ante qpaiveTat) om. C. 21. post 
eviauToO Auriae interpretanti f circumferentia enim EG semi- 
circulo minor est' addenda esse videbantur e\dccujv Y a P ecrtv 
rj EH irepiqpepeia r)utKUK\iou (conf. theorema 2 extremum). 
23. b A in marg. , b C iu marg., A' E. dcrpujv E Da, dcre- 
pujv A C. 24. drro] Trpo Da. dvaTo\fjc JDa. 25. bt' fjui- 
couc Da Ho. 27. bie\dccovoc A, distinx. E, bid e\dccovoc C. 

62, 4. dvaT^WovToc] oriente Va, existente Au, i. e. ovtoc 
5. Td ftab A, distinx. CE. eTrt toO ZXubtaKoO] in signifero 

Va, in Zodiaco circulo Au. 8. YiTveTat E, YiveTai A, r C. 
9. to be p — to be b AC, corr. E. 10. tuj rjMuj dvaTeWovn 
KaTd to A] sole oriente in a Va, Sole in A puncto oriente Au, 
i. e. toO r]\iou dvaxeWovTOC cet. 11. Td pab' twv dpa ftab 

A, distinx. CE. 12. dcrpujv om. C. ewot A, euJoi CE (cf. 
supra ad p. 50, 8). 14. twv Pab A, distinx. CE. eujoi A, 
ewot CE. 16. Zwbiwv ACE, itemque posthac constanter sine 
i subscripto. 17. cuZuYiav CE, cu2uyi cum compendio syl- 

labae ac superscripto A. Te ACE. 22. dvaT^Wei Kai in- 
terpolatori (qui quidem Kai dvaTeWr) scribere debebat) tribnit 
Hu, dvareWr) et vs. 21 post fj\ioc voluit orav Au f et etiam 
Sol, cum ad C pervenit, oritur' interpretans. dvareWet Kai 
e^crat] oritur estque Va. 

64, 2. toO d dcrpou CE, ipsius a stellae Va, astri A Au, 
toO TrpuiTOU dcTpou A. 6. Koivr) be r^ TE] f communis adda- 
tur circumferentia CE' Au, i. e. KOtvri TrpocKeicGw cet. 7. be* 
ecxi CE. 8. dpd ecn A, accentum corr. CE. bi | drropeu- 
erat A (extremo versu et ineunte). 10. A (ante dcrpw) om. 



XXXVIII ADNOTATIO IN 

AC. 11. ewa 6ucic A, euOa 6uac (ut aliis locis) CE. 12—15. 
verba Kcrt exrel usque ad 6i* eXdccovoc forsitan interpolator qui- 
dam addiderit (contra recte se habent illa quae similiter 
scripta sunt theoremate V extremo). 12. ra (Ja6 dcxpa A, 

distinx. C, xa dcrpa p • a • 6 E. 15. 6id eXdccovoc E. 

66, 1. "Ectuj] Sit rursu3 Au. £uj6iaK6c 6e 6 aeY A, Zuj- 
6iaKoc 6e 6 aey2 CE, signifer autem aec. Va, Zodiacus circu- 
lus sit AECF (id est aejl) Au. 2. Td pa6 A, distinx. CE. 

4. to 6, omisso 6e, E. 7. e\dccovoc CE. 8. Td pa A, 

distinx. CE. 9. ol 0a rjG C. 11. gcrai] est Au. 12. Tnv 
£k v9 A, coniunx. CE, fk. Va, FKLH (id est ZkvIJ) Au, ty\v 
EKNO coni. Hu (nam in figura eo loco, quo nunc Z legitur, 
reponendum videtur £, quoniam litterae demonstrationis usque 
ad o pertinent). 15. fr\v ecnv AE, fr\v ecTi C. 16. dcrpov 
AC, to dcTpov E. Tfjc k0£ C, tt^c KEO coni. Hu (conf. ad 
vs. 12). ecTi A, om. E, compendium formae ecrtv habet C. 
20. Trepicp^peiav Tivd A, ~ 7 f v Tiva C, ~rf\ Tiva E. 

68, 2. r\ ok Tr\c ov" C, r\ eic Tfjc oT E. 3. Tf|C kvo C. 

f|uiKUK\iou] atqui hemicyclium Va, semicirculi circumferentia 
Au. 4. 6e f) k6v CE. r) vko E, r) vkc A, r) vk E. 6. 
7r\eio*voc, eraso c, ut videtur, A. 7. Sti t6 A] 6ti Kai t6 6 
E. 8. eXdccovoc E. 10. 6uvei] occidit Va, oritur Au. 11. 
ecTiv] gcrai E. 14. Tr\v HAKM Hu, Tr\v n\Kun A, Tr\v n\Kuv 
CE, glknm. Va (id est Tfjv n\Kvu), GHKL Au (id est Tf|v \KEn, 
quae notatio ad idem redit ac nostra scriptura). 15. Oe^civ] 

Qiciv gSei E. 15. 16. wc Tnv HE] wc Tf|v r\Z AE, ujc Tfjv vH 
C (sic perspicue), ut gx. Va (i. e. ujc Tfyv nH), LK Au (i. e. 
Tfjv n.2). 17. 18. yf\v ecn C, yr\v £ ct * E. 19. to ante 

dcrpov additum in E expunxit prima m. toO A 6uvovtoc] 

tuj A 6uvovti coni. Hu. 21. ecruu to v CE, ^ctuj t6 p A. 

22. Kai dvaT^WovToc] et oriente Va, et oriente etiam Au, in- 
terpolatori tribuit Hu. 

70, 1. uepiqpepeiav Tivd A, 7) av Tivd C, ~) av riva E. 3. 
Tfiv vko AE, Tr\v ko C. 4. e\dcauv] e\dccov A, e\dccujv ecrlv 
CE. 6e ACE, autem Va Au, del. Hu. 5. dpa r) £ko CE, 
dpa f| Skc A. e\dccov A. ecri E. 6. f|uiKUK\iou Hu, 



LIBRUM DE ORTIBUS I. XXXIX 

VijuiKUKXiov A, f| rijui©, superscripto compeudio ov, sed eo puuc- 
tis notato, C, Qov' E. be n. kHti E, be f| tiHk legisse videtur 
Au, oui. AC Va. n. Sko dpa E, eadem legisse videtur Au, 
om. A C Va. 6. 7. eXdcouv ecriv et compendium formae 

f||uiKUKXiov (ut paulo supra) E, semicirculo minor est Au, om. 
A C Va. 7. dpa (ante Treptcpepeiav) om. E. 9. 10. €TrtToXn.c 
einac qpatvouevnv buctv iroieiTai bt' eXdccovoc E. 11. € A in 

marg., e C in marg., E E. 12. twv ZujMujv kukXou AC Da, 
item E prima m. in marg., ZujbtaKoO E in contextu, orbe signi- 
feri Va , Zodiaco circulo Au. dird eareptac A C Da (conf. 

p. 70, 26. 72, 21), dTto euuac E. dvaToXfjc Ba. 14. dpKTOUC 
E, ratc dpKTOic AC, TaTc dpKratc Da. 15. eXdccovoc E Ho. 
20. Kard to j CE, Kard t6 Tpvrov A. 22. Td 0ab A, distinx. 
CE. 23. eiri tou ZtybiaKou] in signifero Va, in circulo Zo- 
diaco Au. 25. tuj (ante uev A dcTptu) corr. in E prima m. 
ex to. 26. bid] bt' E. 

72, 2. eXdccovoc E. 3. 4. dcrpd Tiva C. 4. Td pab A, 
distinx. CE. 4. 5. tujv dpa 0-d-b E, astrorum igitur B, A, 
D Au, tujv dpa pba A, tujv dpa p 6 a C, igitur ipsorum bda. 
astrorum Va. 5. ecriv f) earepia] post ecriv f| add. E qpai- 

vouevn Tf]C dXn0tvn.c, sed haec expunxit prima m. 7. earepiot 
AC. 8. eirei rd eiri CE, eiri rd erri, et alterum quidem erri 
puncto notatum, A. 20. dpd ecriv A. 24. eXdccovoc E. 

25. 5 Ain marg., <s C in marg., S' E. 26. Kai buac Da. 
tuj f|Xiiy om. Da. 

74, 1. 6pi£ujv] circulus Horizon Au. 4. dcrpov ti A, 

dcTpov Tt E, acc. corr. C. 6. e"crtv A, acc. corr. CE. 10. 
dvareiXac (sic) in E corr. prima m. ex dvaToXdc. 11. 12. 

btairopeueTat — cuvavareXXet] consulto scriptor hac, ut ita di- 
cam, abstracta forma sententiae hypotheticae usus est pro bt- 
eiropeueTO — cuvaveTeXXev (conf. prop. 7). 13. uoptov ti C. 

16. beKa uevTe E. 18. Ytverat E. 19. to0 A dcrpou] astri 
D Au, tou dcrpou, omisso b, ACE (idem legit Va). 25. Z 
A in marg., I C in marg., Z' E. 26. eTUToXnv om. Da. 

76, 1. oi' n.utcouc E Ho (sed posthac vs. 8 et 17 btd f|u. E 
cum AC). 5. dcTpov ti A, dcrpov ti E, acc. corr. C. 5.6. 
dvareXXeTUJ ACE, oriatur VaAu, cuvavareXXeTUJ coni. Hu (conf. 
supra p. 74,5; at p. 70, 21 dvaTeXXeruj recte se habet, quia ibi 
astra oriri dicuntur occidente sole, non oriente). 6. toO dpa 



XL ADNOTATIO IN 

dcrpou b d\n.0ivri E (dpa compendio scripturn). 8. Ywerai E 
(sed posthac "fiT VGTCtl cum AC). 11. ev SAaic r)uipatc] totis 
diebus Va, in integris conversionibus Au. 14. ev 6\aic t^jli^- 
paic] cunctis diebus Va, in integris conversionibus Au. av 

Y^voito] erit Au (qui supra p. 74, 14 pro eadem forma posuit 
f fit'), om. Va. 15. cuvbuvat AC, acc. corr. E. 17. eTTtToXrj 
E. r^uicouc E, r^uiceoc AC. 20. otd riuiceoc AC, b\ V|ui- 
couc E. 21. ^TTiCTa add. Hu, quasi Au. 22. rj A in marg., 
rj C in marg. , H E. 23. kxdrrrv ecrrepiav C (conf. p. 78, 12 
et 20. 80, 16), earepiav, omisso ecxdrriv, AE (idem legit Va), 
ecTtepiav et in parentbesi f Alit. ecxdrrjv ' Da, vespertinam 
postremam Au, eorepiav ecxaTriv Ho. 25. vuicrec Da. 

78, 3. Td yea ACE. 11—14. toutcctiv usque ad irpoc 

tuj H forsitan commentator quidam addiderit. 11. tout' 

Ictiy E. 18. upocavaTeWet E. tout' ecnv E. 19. ou- 
vujv ACE, corr. Hu. 

80, 2. ou om. C. 6. TOUTecn C, tout' ^cti E. 9. toO 
dpa] tout' ^ctiv dpa E. 12. ou ante qpaiveTat add. E. 15. 
A in marg^, C in marg., -9-' E. udXov A. 17. qpdctv 

TToteiTat AOE Ho, TroteiTat qpdav Da. TrXetovac Da, nktovac 
AC, rrXetovoc E. 18. etrrep Da. 

82, 2. aiei Hu, dei ACE. 3. ficrpov oe ACE, dcrpov 

be" ti coni. Hu. 4. tou tujv £iuotujv kukXou] iis quae in cir- 
culo Zodiaco sunt Au (voluit igitur tujv e^rri tou tujv Z. k.). 
6. TrXeiovac Hu, rrX^ovac ACE. 9. 6 Xrj ou A, coniunx. CE. 
10. rd bn A, distinx. CE. 11. rd ajuj} A, distinx. CE. 14. 
eKqpeuY^cGu) E. 16. rrpoc tuj k C, Trpoc tOuv 6td to- 0k A (id 
est irpoc tuj k cum scholio 6td t6 0'), rrpoc tuj r\ E. 18. rd 
Zr\ A, distinx. CE. krt CE. 19. diro AC, item E prima m. in 
marg., auro E in contextu, sed id expunctum. Ta brj A, 

distinx. CE. 19. 20. d-rro toO A] dTro tou, omisso d, C. 20. 
Td aJ3 A, distinx. CE. Td Zr) AE, distinx. C. 

84, 1. r) ante eorepia add. C. 2. IctI CE. 3. rd Zr\ 
A, distinx. CE. 5. &nv E. 8. outtuj CE. 12. i A in 
marg., i C in marg., I' E. 14. toO tujv £w&iujv kukXou] quam 
quae sunt in circulo Zodiaco Au (conf. supra ad p. 82, 4). 15. 
opiZwv] Horizon circulus Au. 16. aiel Hu, dei ACE. 6 

pr-f AC, 6 Zfiy E, idemque legit in suo codice Au. 17. rd 



LIBRUM DE ORTIBUS I. XLI 

n0 A, distinx. CE. 19. verba tout^ctiv usque ad 86, 2 6ucic 
interpolata esse docet structuraeinconcinnitas. IG.tout^ctiv E. 

86, 1. y\ post toO uev ff om. E. 2. tujv y\Q A, distinx. 
CE. 4. oi] ot 6e E. 4 — 8. ujcre usque ad kni ty\v 6uciv] 
Cum codicum Graecorum scriptura fere consentit Au, cuius 
interpretationem Graecis litteris restitutis pro Latinis, quas ille 
posuit, hic repetimus: f ut semicirculus exrjX non concurrat cum 
semicirculo, qui a puncto a inchoat, et ad partes y proficisci- 
tur: et semicirculus 6k0u item non concurrat cum semicirculo, 
qui a puncto a incipit, et ad partes 3 tendit: scilicet ut semi- 
circulus r|€ tendat ad ortum, et semicirculus 06 ad oceasum'. 
Nos in Graeco quidem contextu codicum scripturam servavi- 
mus, sed in Latina interpretatione duos, de quibus agitur, se- 
micirculos singulis litteris mutatis notavimus (v. p. 86 adnot. 4). 
6. 7. r uepr) usque ad ujc Irri Td om. C. 7. tout£cti C, toOt 5 
2cti E. 8. erri Tnv (ante dvaToXnv) om. C. 11. 12. icn r) 

u£ E (sed paulo post recte Kai y) u.2). 12. eirei 6e Kai E. 
14. 15. Kara OH-O 0v ' £cri C. 15. to H] t6 k E. 1'cti E 

prima m. ex ecrai. 

88, 3. tlu N] tuj f) C. 5. ty\v Zyv CE (idem in suo co- 
dice legit Au), ty\v Zy A. 8. 6idueTpov ecn E, compendium 
(ut supra) et ecriv (item compendio scriptum) C. 11. tuj Z] 
TiiJ l E. 13. Tr)v HJK CE (idem legit Au\ ty\v vSJuZ A. 17. 
dvareMov AC, idem ex dvareWuJv corr. prima m. in E, £m- 
TeXXov Autolycus scripsit supra p. 56, 18. ewc C 8 E, £umc A, 
uexpi Autol. 1. c. 

90, 2. tuj 6e H to K cuvavar^Wei coni. Hu. Kai ante 

to K dpa add. Hu coll. vs. 9. 10. 3. eKdcrnc Tf\c vuktoc E. 
6. eujc CE, ewc A, ue^pi Autol. supra p. 58, 17. 8. rfjv l$Z 
CE(j4.w), ty\v l\kZ A, item vs. 11. 9. 10. to 6e dcrpov us- 
que ad 60vov om. C. 9. tuj 6e dcrpuj t6 K cuv6uvei coni. 
Hu. 13. 6iairopeueTai E. ty\v Zjv AC prima m. in rasura, 
Ti]v Zvj E. 15. Kai cpavepov C prima m. in rasura. 16. 

ty\v 2(&yv AC, ty\v Hpyv E (idem in codice suo legit Au). 17. 
Xctuj 6ti 6f] E. 20. ujcre del. Hu. 

92, 1. ujcre Kai y) jy\ E. 2. €Kar£pa CE, eKdrepa A. 
4 extr. rd om. E. 10. 11. tujv y\Z ZQ CE, item A, sed y\Z 

corr. prima m. ex n£. 11. uei£ujv ecri usque ad HZ Z0 om. C. 
cpavepd E. 12. dvd om. E. fiuicu ecriv A, fjuicu ecri CE. 



XLII ADNOTATIO IN 

94, 1. tiI)v r|H 6v AE, tujv nH ov C. dva (sine accentu) 
A. 3. ecri CE. CKcrrepa om. C. 6. ict A in marg., m 
C in marg., \a E. OuGev ACEDa, Ou6ev Ho. tujv Zuj- 
6iujv erri toO tujv £uj6iujv E, sed prius Zujbiujv expunctum. 7. 
f|uicqpepiov et prima m. ai super e A. 9. TravTCtTraci CE Da 
Ho. 9. 10. ev6£xnrai 6qp6eivai Da. 12. 6pi£urv] circulus 

Horizon Au. 13. Td a6y A, distinx. CE. 17. Tivd 6e tujv] 
sed aliquod astrum eorum Au. 18. qpepoucvov E. 

96, 1. "Ectuj Y«p] Sit vero Au. to 6ej§ CE, t6 6e 8~ A. 
2. Td a6y A, distinx. CE, astra quaedam A D C Au. 3. Td 
ante knl toO om. C. £ttI toO £iu6iaKoO] in circulo Zodiaco 

Au. 4. dvaT^XXei Te Kal 6uvei Eucl. phaenom. 6, et oriuntur 
et occidunt Au. 5. toO dpa 6 60vovtoc CE (Au), 6 om. A. 
6. 6eB AC, item E in marg., 6 • j$ E in contextu, sed ea ex- 
puncta. 9. Td a6 A, distinx. CE. 13. Td fb A, distinx. CE. 
14. ev6^Tai Tivd ACE, item vs. 16.17. 17. ujc tov I"H] veluti 
CF Au (voluit igitur ujc t6v TZ). 20. post qpepeTai 6 fjXioc 
add. C fjvTiva Trepiqp^peiav 6i^pxeTai 6 fjXioc (voces uepiqp^peiav 
et nXioc compendio scriptae). 22. ifi A in marg., IB C in 

marg., IB' E. 22. 23. dTio eumc dvaToXf|C dXnOwic, kwa cet. 
E. 23. YiveTai A CE Da Ho. 24. 25. ecriv fiuicouc eviau- 
toO 6 xpovoc Da. 25. hoc inquani tempore aliquod astrum 
et orietur et occidet Au (sed paulo post p. 98, 2 sq. idem con- 
gruit cum Graeca scriptura interpretans astrum neque occidet 
neque orietur). 

98, 1. 6ucnrai Da, item proximo versu. 2. Tcov AE, 

acc. corr. C. 3. uirep *(r\v E. 5. Tnv (sine accentu) C. 

6. dcTp6v ti E. 8. Yiverai E. 10. Xe^uj 6f| usque ad 12. 

eviauToO om. A. 13. 14. d. astrum et occidet et orietur Va, 
astrum D et orietur et occidet Au. 15 — 17. dXXov 6e — utto 
Ynv om. Va. 16. Tcov AE, acc. corr. C. 16. 17. astrum 
D neque orietur neque occidet Au. 18. Y«p om. C. 21. 
eTriToXfic A, om. C, 6uceujc CTriToXfic E, sed 6uceujc expunctum. 
ecTi CE, ecTi A. ufypi E. 22. dpa om. E. 23. ecriv 6 
Xp6voc A, item C, nisi quod ecTiv per compendium et sine acc. 
scriptum est, ecri xpovoc E. 25. aiei C, dei AE. 

100, 3. dvar^XXei E. 4. 6iaTropeunTai E, 6iaTropeueTai 

AC. 5. Tfjv Y€ AE, Trjv tt C. 7. dvareXXei ACE, oritur 
Au (praesens tuetur similis locus infra p. 104, 26, quapropter 



LIBRUM DE ORTIBUS I. XLIII 

etiam p. 104, 16 dvar^Wei cum E — non dvare\€i cum AC — 
edidimus), oriens quidem Va (coniunctum cum sequenti appa- 
rebit). 11. ujc tou d 6uvovtoc C, quod A occidente Au (recte 
f d. occidente' Va). 12. exi CE, item A, nisi quod x in ra- 
sura pro ct, ut videtur. 15. 6iaTropeueTai E. 18. 19. 6uv€i 
usque ad to A dcrpov om. C. 18. ouvn E. 20. tou dpa 
r|\iou usque ad 21. t6 A dcrpov om. C. 21. 22. astrum D 

et orietur et occidet Au, d. astrum neque occidit neque oritur 
(sic) Va. 23. uiro ^f\v\ ev tuj utto jf\v coni. Hu coll. p. 102, 
7 sq. (sub terra Va, qui aliis locis Graeca ev tuj utto yf\v, f in 
eo quod sub terra' vertit ; at Auria utto yf\v et ev tuj utto ff\v 
perinde f sub Terram' interpretatur). 23. 24. astrum D ne- 

que orietur neque occidet Au, d. astrum neque oritur Va 
(omissis reliquis). 24. tou t^Mou ovtoc ev tuj utto yf\v] sole 
existente in eo quod sub terra Va, Sole praesertim sub Ter- 
ram existente Au, del. Hu. 25. 'Eirei Y«pJ nam quoniam Va, 
Et quoniam Au. 26. ff\v £cri C, ff\v dcrpuj £cri E, sed 

dcrpuj expunctum. 27. avaT£\\r\ AC, et A quidem eodem 

calami ductu ex dvar^Wei, quod ipsum in E etiamnunc exstat. 
28. 6iaTropeueTai E. 

102, 1. post to uev £ae compendium formae irepicpepeiav 
add. E, sed id ut spurium notatum. y*1 v ^ti C, ff\v ecri E. 
6. d. astrum etiam occidet et orietur Va, astrum D et orietur 
et occidet Au. 8. d. astrum neque occidet neque orietur 

Va, f astrum D neque orietur neque occidet: Quare etc' Au. 
9. i"y A- i n marg., ff C in marg., If' E. 10. yivexai ACE 

Da Ho. 11. Tr\eiov Da. 12. 13. hoc inquam tempore ali- 
quod astrum neque orietur neque occidet Au. 13. bucnrai 

Da, item proximo versu. 14. Tcov AE, acc. corr. C. 14. 
15. xai 6ucerai xai dvaTeWei to dcrpov E, astrum et orietur 
et occidet Au. 16. 6pi£u>v] Horizon circulus Au. 6 ap y6 
A, coniunx. CE. 17. ujc ante titv AErZ add. Hu. 19. rd 
ajto A, distinx. CE. 21. jivtzai E. 23. ecriv om. E. 24. 
astrum B neque orietur neque occidet Au. 

104, 1. Tcov AE, acc. corr. C. 2. astrum B et orietur 
et occidet Au. 8. \e\ui] Dico iam Au (voluit igitur \€"yuj 

bf\). 9. 10. astrum B neque orietur neque occidet Au. 15. 
if\v yZ (ante 6iaTropeuou£vou) CE, Trjv y^ A (sed idem paulo 
ante Tnv jZ). 16. dvareWei E, dvare^ei A C (conf. ad 

p. 100, 7). 17. icrj T€ A, acc. corr. CE. 22. to frxe, omisso 



XLIV ADNOTATIO IN 

be, E. 25. oicxe xai Hu, Kai ujcre Kai ACE. xou aute 

apa nXiou om. E. 27. ou . (pavrjcexai be" AC, ou (paivexai oe" 
E, at mininie occidere videtur Au (voluit igitur post be addi 
bOvov). 28. 29. astrum B et oritur et occidit Au. 

106, 1. astrum B neque orietur neque occidet Au. 3. 

astrum B et orietur et occidet Au. Kai bucerai AC, ouxe 

bucexai E, sed outc expunctum et Kai prima m. superscr. 5. 
yf\v ecri E. 8. ujcre Kai tv]v AC, item E, nisi quod Kai su- 
per versum. errei AE, eiri C. 9. ecTiv (sine acc.) C. 13. 
14. astrum B et orietur et occidet Au. 14. in fine add. 
auToAuKOu -rrepi e-rriToXujv Kai buceujv a C, t£Xoc toO a ov BtB^ E, 
T^Xoc toO TTpuJTOu (sic) irepi emToXwv Kai bucewv AutoXukou Da. 



106, 17. to A Da Ho, om. CE. 8 AC, 8' E, beOrepov 
(sic) Da. 18. d A in marg., d C in marg., irpoTa. a' E. 

ToO ZwbiaKoO kukXou Da, Signiferi Va, Zodiaci circuli Au. 
19. buvouevov E Ho. 20. Kpuiynv Da, KpuBonv coni. scriba 

apographi Eyssenhardtiani. 22. uirep *fr\c ACE, Oirep rryv 

yf\v Da, UTrep jf\c *ff\c Ho. 

108, 5. tuj ZujbtaKLp] tuj kocuuj E, signifero Va, ipsi Mundo 
Au. 8. ouoe>nv E. 9. oXnv Hu, u6vnv ACE, solum Va 
(scil. meatum), solummodo Au. yf\c pro Ynv corrigendum 

esse videtur coll. p. 106,22. 110,3. 13. drrexet E. ecTiv 

(sine acc.) A. 15. <paivou.evnv om. CE. 17. oti compendio 
scriptum in E. 18 — 21. id propterea nequidem occidens 

spectatur tota ed. circumferentia sole existente f. (sic) neque 
oriens, neque occidens spectatur Va, Iam per haec eadem cir- 
cumferentia ED tota neque occidere conspicitur, Sole praeser- 
tim in F puncto manente: et neque etiam huic per diametrum 
posita circumferentia CG aut oriri aut occidere videtur Au (apud 
quem F respondet Graeco Z, et CG Graecis TH). 19. ou- 

vouca 6pdrai interpolatori tribuit Hu. post 6\r\ compendium 
particulae dpa add. E, sed id ut spurium notatum. 20. 21. 
oure dvar^XXouca usque ad opdrat om. CE. 21. ouoeu.»iv E. 
22. 'fdp] nam Va, vero Au. 

110, 3. Trotoujuevn.] facit Va, facere videtur Au (qui vs. 2 
opdrat interpretatus est f conspicitur'). 4. 8 A in marg., p 

C in marg. , 8' E. 5. to be €ttou€vov E Da Ho, to be tm- 
t^XXov eTrouevov A, to be Ittit^XXov C. 8. dqpnpn.c6uj r| eb 

AC, dqpnpricGuj 6 eb E. 9. Kai kotcc ,u^cn,c ai)Tn.c ^ctuj 6 



LIBRUM DE ORTIBUS II. XLY 

f]\ioc] in medioque ipsius sit Sol Va, et in ipsius medio, sci- 
licet in puncto H, sit Sol Au (voluit igitur post auTf|c addi 
TOUTecrt KctT& to Z, nanique in figura sua inter D et E — id 
est 6 et e — ponit H — id est Z — similiter ac Graecus codex 
E in figura ad propos. 3). 11. Trepicpcpem] compendium for- 
mae Treptqpepeiav legitur in E. 13. ydp om. E. ^uicouc E. 
13. 14. uirep rjuicu £uj6u>u Trepupepetac dTrexouca] supra dimidii 
signi circumferentiam distans Va, supra dimidium Zodiaci cir- 
culi manens Au. 19. 20. urrep riutcu £iy6tou Treptqpepeiac dir- 
exouca] snpra dimidii signi circumferentiam distans Va, supra 
dimidium circuli Zodiaci circumferentiam habens Au. 

112, 1. f A in marg., y C in marg., V' E. 1. 2. evbexa 
£uj6iujv £u>6ta Geujpetrai Da, undecim signorum circumferentia 
cernitur Va, undecim Zodiaci Signorum circumferentiae con- 
spiciuntur Au (voluit igitur Trepicpepeiai GeuupouvTat). 2. 3. 

sex quidem praestructorum, quinque vero orientium Va, sex 
quidem earum, quae ante exortae sunt: quinque vero earum, 
quae orientur Au (scilicet circumferentiarum ; at in Graeco con- 
textu agitur de signis ortis vel orituris). 4. 6 kukXoc 6 ap 

E. 5. £uic-iou om. E. 9. 10. eTri tou Z t6ttou] in f. loco 

Va, in F puncto Au (voluit igitur eTri tou Z crmeiou). 10. 

6r)\ovoTi A, 6rj\ovo C, distinx. E. 11. qpatvo^vriv om. CE 
Au. 12. in yab cum AC consentit E, nisi quod ante has 

litteras habet expunctas yabe. 13. \oiTrOuv Hu, \oitt6v ACB; 
f Reliquum igitur est, ut' etc. Va, liberius etiam Auria inter- 
pretatur: f et reliquus igitur CBD semicirculus , quoniam sex 
etiam Signa continet, et CE unum, occupatur sub Solis radiis'. 
15. utt6 tou r^Mou om. C. TreVre AE, e C. 16. avareWovTa 
ecTtv A, avaT^WovTa ecnv E, acc. corr. C. Zwbia E, signa 
Va, Zodiaci signa Au. 17. 6 A in marg., 6 C in marg., 6' 
E. 20. 6iaTrevTajunvou E, 6td TrevTdjarivov Da. 24. dcrpa 
rd u9v A, distinx. CE. \ifuj bt\ Sti E. oti Td u0v A, 

distinx. CE. 25. 26. 6iaTT€VTaur|vou E. 

114, 4. tluv £iy6tujv] conf. indicem s. evavTioc. 5. err! 

ACE prima m., dir6 E in contextu, sed id expunctum. 
6. dTr6 uev dpa tou t6ttou] igitur ab o. loco Va, Ab 
loco igitur quidem puncti S ad locum T Au (voluit igitur 
post tou t6ttou addi errl tov 17 t6ttov). 7. ott6 6e 

toO H] ab n. vero Va. 8. rd u8v A, distinx. CE. 10. e 



XLVI ADNOTATIO IN 

A in marg., e C in rnarg., e' E. oIkoOciv E. popetav Da 
Ho. 13. uev om. C. 14. 6 \a\ X0 A, coniunx. CE. 15. 
dcxpov ti A, dcrpov ti E, acc. corr. C. 

116, 1. fjjuicu AE, f|uicu (sine acc.) C, f|Utcouc coni. Hu 
(conf. ad vs. 19). 4. TrpoceiXf|cp0uj Hu, TrpoeiXf|qp0uj ACE, aufe- 
ratur Va (apud quem in hac extrema versionis parte errores 
plurimi occurrunt). 5. f) vo CE, f| v0 A, non (sic) Va. 6. 
Kal f) EO usqae ad 7. £w6iou om C. 8. dua ecriv AE, dua 
ecri C (dua h. 1. similiter abundat ac paulo post vs. 16). 9. 
dpa] ouv E. aiei AC, dei E. 10. rnv vXn. k0v AC, coniunx. 
E, nlg. khn. Va, extremum v del. Au. 17. dua dpa auroO E. 
post cuvbucerai ouv add. Tt C. 18. Tt (ante tuj 0) C, ti A, 

om. E. 19. fiutcouc Hu (conf. p. 118, 5. 6), fjuicu ACE. 

118,1. to 6e v AC, Kai to v E. 2. buvet — 60vet] occidit 
— occidit Fa, occidet — occidet Au. 3. fjuepac compendio 
scriptum in C. 4. ecruj r\ pH A, cctuj f| pl CE. 4 extr. fj 
po AC, f| pc E. 5. f) dpa Eo C, f| dpa lo A, \'cr| dpa f| Ho 
E (in quo paulo infra Xar\ ^criv perinde legitur atque in AC). 
6. ecn C, ecri E (uterque antecedente compendio vocis -rrepi- 
qp^peta). Kai f| prr CE, item A, nisi quod p prima m. su- 

perscr. 7. ueptqpepeid ^cti E, compendium vocis ireptcp. et 

tum £crl C. 9. 10. Kai cuv6uvet auTLu to M cet. liberius sic 
vertit Au: 'verum et cum ipso etiam N simul occidit astrum 
M: quare astrum M occasu matutino occidit: Atque occidet 
etiam Sole manente in T puncto: et hoc semper' cet. (tota 
demonstrationis clausula liberius composita est apud Va). 11. 
aiei AC, dei E. 12. 6Xov tov kukXov] totum Zodiacum Au. 

14. 4 A in marg., § C in marg., z E. c EKdcrujv Da. 14. 

15. Vnaqueque (sic) stella in signifero posita Va, Unumquod- 
que ex inerrantibus astris, quae in circulo Zodiaco sita sunt 
Au. 14. erri £u)6iaKoO, omisso toO, E. 16. TrapaYtveTat E 
Ho (at in TrapaYtTveTat E cum AC consentit vs. 17 etp. 120, 23). 
17. TrapaYtveTat Ho. 20. f|uepav E. X AC, X' E, TptdKovra 
Da Ho. 21. 6uvov ACE Da Ho. 23. TrapaTtveTat E Ho, 
item vs. 28. 26. X AC, X' E, TpidKOvra Da Ho. 28. 6td 
TrevTaurivujv Da. 

120, 2. 2uj6taK6c 6e 6 TA] Signifer autem cd. Va, Zodia- 
cus circulus sit CD Au. dcrpov ti A, dcrpov ti E, acc. corr. 
C. 9. dvaToXfrv E. 15. Koivf] f| Xe AC, KOtvfj f) 6e E, et 



LIBRUM DE ORTIBUS II. XLVII 

communis le. Va, communis ponatur circumferentia LE Au. 
\ce\ ecriv AC, ecxiv icr\ E. 17. cttitcXXov coni. Hu. 19. aiei 
AC, dei E. 6 ante f|Xtoc om. A. 20 — 22. cumque fuerit 

in f. et abfuerit dimidii signi circumferentia cf d. astrum ve- 
spertinum ortum facietFa, Sol autem cum ad F punctum ve- 
nerit et per circumferentiam CF distaverit ab Horizonte, quae 
sit et ipsa etiam dimidium signum, astrum D ortum vesperti- 
num facit Au. 24 — p. 122, 10. TreVre ^dp £woiwv usque ad 
finem propositionis repetit C in margine (quam scripturam C m 
notabimus). 24. r\ \Z 9" C m . 25. Zjjj&ta &iaTrevTauf|vou E. 

122, 1. orj om. C m . 2. rrpOTaceujc AE, rrpo et compen- 
dium litterae t cum terminatione ujc C. rrjv Zfr\ ACC m , 

Tr)v ZfY] E. 3. rroiei Hu pro rroieiTai (conf. vs. 8). 4. 6ia 
f|uepujv X C, 01' f|uepujv X C m , 61' f|uepuuv X' E. 5. kid re 

Tfjv r\Q C m . rreVre ACE, e C m . Zjju&tuuv corr. E prima ni. 
ex £uj&iou. 5. 6. ty\v ^cnrepiav buciv rroiei tuj A dcTptu] ve- 

spertinum occasum facit d. astro Va, ipsum D astrum facit oc- 
casum vespertinum Au. 6. rroiei Hu pro rroieiTai. 6. 7. 

ur]vujv e. rrdXiv be ty)v 60e C m . 8. 9. Trjv Ituav dvaroXriv 

rroiei tuj A darpuj] matutinum ortum facit d. astro Va, astrum 
D facit ortum matutinum Au. 8. rroiei ACE, Troieirai C m . 

9. 01' ri.uepOuv E, 6id (fa C m . X ACC m , X' E. 10. bieiciv 
AE, bieici C, oiepxerai C m . 11. Z A in marg., Z C in marg., 
Z' E. Cuncta quae a signifero comprehenduntur Va, Quae- 
cunque astra comprehenduntur sub Zodiaco circulo Au. 13. 
14. OTro toO Zuj&iaKoO post erri rd rrpdc |uecr|uppiav transposuit 
Da. 14. euuai A (ut reliquis locis), etuai E (ut reliquis locis), 
eujoi C, ^uuai Da (ut aliis locis). 

124,1. in dcTpov Tt cum AC consentit hoc loco etiam E. 
Irri ttic dvaroXfic] in ortu Va, in Oriente Au. 2. popeiorepov 
AE, ^opei et compendium syllabae ov C. 4. to r| AE, tuj 

fi C. 5. tuj ¥ (ante xai ecruj) E, to ¥ AC. 7. r) eX AE, 
r\ e& C. 17. to e AE, to J C. 18. Kai t6 r\ ACE, et k. 
Va (id est Kai to k), quin etiam astrum E occidit Au (apud 
quem E locum Graecae rj obtinet), del. Hu. 19. 20. cuv- 

&uvei ydp to H tuj 0] nam occidit h. cum g. Va (id est to 
tuj fj), om. Au. 20. dXXd Kai eiri tou K ovtoc] Caeterum in 
k. existente Va, sed Sole manente in H puncto Au (apud quem 
H respondet Graecae k). 21. bieiav AC, &taTropeueTai E. 



XLVIII ADNOTATIO IN 

126, 3. 4. Rursus sit in ortu magis in austrum m. astrum 
Va, Rursus sit in oriente astrum M, meridiem versus Au. 4. 
uev (ante A dcrpuj) om. E. 5. dvaxeWov E, oriens Au, dva- 
TeMovxi AC, oriente Va. 6. to jl A, to b CE (voluerunt 

tou b). cuvbucerai] pariter occidet Va, simul occidat Au. 

10. 11. to uev F AC, to uev lo E. 11. dpa Hu, be ACE, 

at Va, et contra J.w (de uev vs.ll, cui nullum be respondeat, 
cf. vs. 4). 12. 13. eiri t6 o C. 13. 14. Caeterum etiam in 
k. existente matutinum oritur Va, sed et Sole existente in H 
puncto ipsum astrum M matutino ortu oritur Au (cf. supra ad 
p. 124, 20). 14. e"\aTTOV ACE. 

128, 3. Trap^crai] aderit Va, pervenit Au. 4. eOuav E 
(et sic posthac). 5. ri A in marg., r\ C in marg., rj' E. 5. 

6. Quaecunque astra ex Occidentis parte sub Zodiaco conti- 
nentur Au (voluit igitur buceic pro dvaroXdc, sed repugnat ea 
quae in Graecis sequitur constructio). 8. ZiubiaKoO Hu auc- 
tore Au, biaueojuv A, bid ue^cujv CE Da Ho. 9. exeivuj (sic) 
Da. ai £crr£piai E Da Ho, ai eare^pioi AC. 12. dcrp6v ti 
E. 15. cuvbOcerai] occidat cum Au (sed idem p. 130, 12 
recte futurum f occidet' posuit). tuj 0] cum astro F Au 
(apud quem F ipsi respondet), to ACE. 16. Kai duei- 
XrjcpOuj] assumaturque Au. 17. eirei] ^Trei ouv E. 

130,4. errl to0 X CE, erci to X A. 12. wcre cuvbuceTai] 
immo cuvbOcerai dpa, nisi forte ante ujcre quaedam exciderunt. 
13. Kai dTreiXrjcpOuj] assumaturque Au. 19. £rrl toO A] in H 
loco Au (voluit igitur erri toO X tottou). 22. Kard be toO N] 
KaTd be toO v t6ttou voluit Au. ri Xyv AC, f| yXv E. 

132, 3. 6 A in marg., e" C in marg., 9' E. 5. d£ei AC, 
eHei E, dyei Da. 5. 6. tujv e^rri Td vdria toO ZiujbiaKoO] quam 
quae sub Zodiaco sunt ad partes Meridionales Au. 7. 8. Sit 
Horizon circulus ABCD, Meridianus circulus sit quidem AB Au. 

7. 6 a$^b ACE Au (vide superiorem adnot.), corr. Hu. 9. 
Iwbiujv 6 yb AC, Zjjjbiuuv kukXoc 6 ybe E, Zodiacus sit CDH 
Au (voluit igitur Zujbiujv 6 jbe). 10. 11. 6 n6 ACE, qui sit 
EGF Au (voluit igitur 6 6Kn). 12. Td rjK A, distinx. CE. 
16. dSei coni. Hu (conf. vs. 5. 22. 24). 17. ecriv Td H K Hu, 
ecriv Td ffe A, £crl Td fj e CE, sunt astra, alterum quidem F: 
et alterum H Au (apud quem litterae F et H Graecis rj et e 



LIBRUM DE OKTIBUS II. XLIX 

respondent). poptujTepov E. 18. voTtwTepov 6e to K add. 
Hu, qnam ipsnm H Au (voluit igitur addi tou e). 19. eXdc- 
cova XP° V0V ] ideo rainori tempore Au (voluit igitur eXdccova 
dpa XP-)- 20. ecriv AE, €ct! C. t& ek AC, to e fj E, et 
alterum H, et alterum G Au (voluit igitur Td e k). 21. po- 
piujTepov E. voTiuuTepov oe to K] quam astrum G, quoniam 
astrum G meridionalius est Au (littera 6r, ut modo adnotavi- 
mus, respondet Graecae k). eXdccova] igitur minori Au (vo- 
luit igitur eXdccova dpa). 23. dyei (ante to H dpa) Hu, dtet 
ACE. 24. d£ei CE, dyei A. 

134-, 1. i A in marg., t C in marg., I' E. 2. edv Hu 

coll. propos. 13. 14. 16. 18, olc ACE Da Ho. 3. dTrexn Hu pro 
direxei. auroic delendum esse videtur: conf. propos. 13. 14. 
16. 18. 4. eTrrroXfic AC Da, dvaToXfjc E Ho. 5. irapa- 

YtY^nTat Da. 6taTrevTaufyvou E, item vs. 10. 6. Kai toOtov 
tov XP° V0V dvareXXovTa 6eujpr)6ficeTat scholii instar repetit C 
in marg. fol. 154 r . 7. 8. 6td irXetovujv f) TptdKOVTa r^uepujv] 

pluribus diebus quam triginta veniunt Au (voluit igitur addi 
TrapaYiY^efai). 10. 6td TrevTaufrvou] quinque mensibus veni- 

unt Au (conf. priorem adnot.). 11. 6pa6f|ce.Tat ACE Da, 

oqpGrjceTat Ho. 12. eXaTTovujv A Da, item C, nisi quod ac- 
centus acutus et exitus ujv in unum compendium colligati sunt, 
eXaccovujv E Ho. 14. optEuJv 6 a^Y E, Horizon circulus AB 
Au. 18. to 6e e E. 23—25. f| dpa — U7TOKetc6at] pro his 
scribi oportuit Kai ecruj r\ HA Treptcpdpeta eXaTTUJv f|u.tcouc Ziu- 
6tou (conf. p. 135 adnot. 3). Auria sic interpretatus est f Est 
igitur FD' — id est HA — f minor dimidio Signo: Hoc enim 
in ipsa propositione supponi voluit Auctor: et auferatur' cet. 

136, 3. post Treptcp^peta f| repetit C verba 60- Kai ert fj iqf 
et cetera usque ad Treptcp^peia fj. 16. 17. Kai e"cnv f| 0K Trevre 
unvujv] haec Graecus scriptor brevius composuit pro hisce fere 
verbis: Kai ?ctiv f) 0K Treptcp^peta Trevre Zuj6iujv t6 dpa E dcrpov 
Tf|v 0K bt^pxeTai 6td TrevTauf|vou. Eadem Auria vertit f atque est 
circumferentia HG' — id est K0 — f quinque Signorum: quinque 
mensibus igitur astrum E illam percurrit'. 23. Kai Seri uet- 
2ujv £uj6iou] haec a Graeco scriptore, similiter ac supra, bre- 
vius scripta sunt pro hisce fere verbis: Kai ecnv f) KPM Trept- 
qpepeta uei£ujv £uj6tou* to dpa E dcTpov Tfyv KfM 6tepx€Tat 6td 
TrXeiovujv f\ TptdKovra f|uepujv. Eadem Auria vertit f atque est 
HCM' — id est f| KrM — f circumferentia maior uno Zodiaci 

Autolycus. d 



L ADNOTATIO IN 

Signo: Quare astrum E pluribus quam triginta diebus illam 
pertransit'. 

138, 3. Tnv Jxv CE (Au), ty\v jurj A. 4. ri jlv~ CE (Au\ 
y\ jorj A. 4 — 6. KCtl Icriv y) MN — w uj6iou] haec Auria 

liberius interpretatur f atque est circumferentia MN quinque 
Signorum: quinque igitur mensibus illa percurrit: Denique 
ab occasu vespertino ad ortum matutinum tunc astrum 
E pervenit, quando Sol circumferentiam NDG' — id est NAO 
— f pertransit: et astrum E etiam occultatur: est autem cir- 
cumferentia NDG minor quam integrum Zodiaci Signum'. 7 

id A in marg. , ict C in marg., la' E. 8. post £ujoiaKoO 

omissa esse videntur Kard Tdc dvaroXdc. eKeivoic ACE Da Ho, 
cum his Au (conf. propos.|15.17), del. Hu coll. prop. 12. 9. cuv- 
avaT^WovTa Da Ho. drr£xei E Da. 11. ^xouivnv AC, errou^- 
vy\v E Ho, consequentem Au, *£xouevr)v (Alit. eTrouevnv) Da. 
iroiricriTai Da. 12. oid e\acc6vujv Da. X ACE, TpiaKOVTa 
Da Ho. 12. 13. ttjv ecrrepiav boav elTa om. E. 13. Kpu- 
vyiv Te A. 14. eiri toO ZujoiaKoO] in circulo Zodiaco Au. 

15. opiZwv] Horizon circulus Au. 16. toi be A, distinx. CE. 

16. 17. Kai TO. E — fcuveruj] atque astrum E simul quidem oria- 
tur cum astro D, non autem simul occidat: sed prius occidat 
astrum E Au. 18. cuvbuvei] occidat Au. 19. y) dpa ZA 
cet.] conf. supra ad p. 134, 23—25. £\dcouv E. 

140, 3. y) rfpc E (Au), y\ yk AC. 4. fjTe o\ E, r\ to b\ 
A, y) b\ C. 12. errl k, omisso toO, E. 15. oidueTpov Z, 

omisso to, E. 17. Kal (ante to E) super vs. add. A prima 

m. (in contextu habent CE). 23. TrapaYnveTai] pervenit 

astrum E Au (voluit igitur addi t6 e dcrpov). 24. fj\ioc u&\, 
omisso Trjv, E. oieici C. 26. i~3 A in marg., ip C in marg., 
Ip E. 27. Tdc (ante dvaro\dc) om. Da. 

142, 1. edv Hu, ujv AC Da Ho, om. E. dTre^ei ACE 
Da Ho. 2. earepia E , ecrrepia Da. 5. 6 6e tujv w uj5iujv 
ACE (sed in C addita est nota lacunam significans; librarius 
igitur kOkXoc addi voluit), Zodiacus circulus Au. 7. tuj A 

cuvavaTeW^TU)] simul cum D oriatur, non autem simul occidat 
Au. 8. cuvc-uvei] occidet Au. 9. fecri C. 10. fecri CE. 
22—25. to E ecrre^piov dvaT^Mei usque ad toO dpa f|\iou eiri 
toO K Svtoc om. C in contextu, sed in marg. add. prima m. 
22. ecrr^piov C prima m. in rasura. 



LIBRUM DE ORTIBUS II. LI 

144, 1. xf) dpa usque ad e dcrpov C prima m. in rasura. 
1.2. €CTrepi6v T6 Hu auctore Au, ccrrcpiov ACE. 6. dSei Hu, 

££et ACE. 8. vf A in marg., rf C in marg., ly E. 10—15. 
dcrpujv usque ad TCTaYucvuuv darpujv et deinceps initium pro- 
ximae propositionis om. Da. 10. drrexet E. 11. £Xdrrova 
Hu, IXaTTOv ACEHo (conf. p. 138,9. 156,27 sq.; contra struc- 
tura dir^xeiv TrXdov vel gXarrov £woiou -Treptcpepeiac legitur 
p. 150, 1 sq. 152, 10 sq.). 12. exouevtrv AC, £Troudvnv E Ho, con- 
sequentem Au. 13. earepiav E Ho, £ar£piov AC. 14. bk AC, 
T€ Ho, om. E. Kpuvpiv dHei Ho, occultabuntur Au, Kpuiytv 
dyei ACE. 14. 15. quam quae in Zodiaco circulo sunt astra 
Au (addidit igitur, ut solet, ^circulo et omisit TeraYuevujv). 

16. Sit circulus Horizon AB: Zodiacus circulus sit CD Au. 

17. dcrpov tI A, accent. corr. CE. Trjc ouceuuc] Tfic y bOcewc 
ACE. 18. cuvbuvov ACE (conf. supra ad p. 48, 19). 19. 
tuj Z E, tuj Z C (sed uj ex alia littera correctum esse videtur), 
tou Z A. 

146, 1. ecTUJ to l E. to fj E, to v AC. 3. f\ KVZ\ 
k yZ AC, ktZ: E, KC Au (voluit igitur kj). 10. 11. to T 

buvet, Kai to E] et astrum C occidit: quin etiam E astrum oc- 
cidit Au. 14. eui tou 0] in loco F Au (pro F debebat 

scribere H, id est 9). . 14 — 16. t6 V ecrreptov cet.] r astrum 
C occasu vespertino occidit : et astrum E etiam occasu vesper- 
tino occidit: sed manente Sole in loco K, astrum E ortu ma- 
tutino oritur. Quare' cet. Au. 19. ecrrepiav AE, kirdpiov C. 
19. 20. ttiv 0l~K Trepiqp^petav] circumferentiam FCK Au (conf. 
ad V8. 14). 20. £Xdcouv Ziubiou] minor Zodiaci signo Au. 

22. tb A in marg., ib C in marg., 16' E, om. Da. 22—24. 
Toic diroXaupavouevotc usque ad cuvavareXXovTUJv om. Da (conf. 
ad p. 144, 10—15). 22. Toic diroXaupavoudvotc ACE (conf. 

propos. 10. 16. 18), Totc dTroXaupavouevotc dcTpotc Ho. utto 

tou ZwbtaKou in interpretatione om. Au. 24. drrexet Da. 

dTrexri. Zwbiou rreptcpepeiav] dTr^xrr ^Xaccov r^ukouc Zwbiou 7)<** 
E, Zodiaci Signo distaverint Au. 25. Kpuiyiv ouk d£et dXXd 
del. Hu coll. propos. 12 et 17. ewa Te A, £wa re C, £wd 

Te E, £wa Te Da. 26. Kal ueiZova] ai uei£ova Da. 26—28. 
Kai uei£ova usque ad Trotouuevwv om. C Ho, uncinis seclusit 
Au (v. p. 147 adnot. 5), quibus adstipulatur Martinus eo loco 
quem supra p. V adn. 1 citavimus, p. 412. 28. rr\v krrepiav 



LII ADNOTATIO IN 

usque ad Trotouuevujv interpolatori tribuit Hu (conf. priorem 
adnot.). 

148, 1. Sit Horizon eirculus AB: Zodiacus autem sit CD 
Au. 2. dcrp6v ti E. 5. Kpuiytv oux e£et dXXd del. Hu (ut 
p. 146, 25). oux eHet AC, ouk dEet E. 10. dTretXriqpeuj] assu- 
matur Au. 15 — 17. to 6e T cet.] r sed astrum C occasu 

vespertino occidit: Quare et E astrum etiam occasu vespertino 
occidit: Eadem igitur' cet. Au. 20. 21. to Z dvareXXet, Kat 
to E] et ipsi per diametrum positum astrum F oritur: et etiam 
E astrum oritur Au. 21. tou ante dpa r]Xiou om. E in con- 
textu, sed add. prima m. in marg. 23. 24. toO 6e A dva- 

tcXXovtoc to T 6uvet, Kai to E] sed D astro oriente, et huic 
per diametrum positum astrum C occidit: quin etiam E occi- 
dit Au. 25. to E eujov 6uvet] astrum E occasu matutino 

oritur Au (qui pro oritur sine dubio voluit occidit, itaque in 
marg. citat r Diff 6. 1. libri', i. e. libri 1 defin. 7). 26. ie A 
in marg., Te C in marg., le' E, TTp6T. 16. Geuup. Da. 27. 

toutujv E. 

150, 1. 2. dTrexri TrXeov £uj6iou Treptcpepeiac] maiori circum- 
ferentia uno Zodiaci Signo distaverint Au. 2. irepiqpepeiac 

A, item per compendium C, irepiqp^peiav E, Trepupepeiav Da. 
oux eHei E. 3. £ujd Te Hu auctore Au (qui f et matutina 

oriuntur et vespertina occidunt' interpretatus est), euja A, euua 
CE, euua Da. 6. 6 6e tluv 2uj6iujv 6 TA] Zodiacus circulus 
sit CD Au. 7. Trpoc 6ucuatc] in occidentis parte situm Au. 

9. Kai ^'ctuj ri TZ irXeiujv 2uj6iou Treptqpepeiac] sit vero CF cir- 
cumferentia maior uno Zodiaci Signo Au. Trepiqpepeta A, 
item per compendium C, corr. E (conf. priorem adnotationem). 

10. oux e^et E. 11. et vespertinum occidet et matutinum 
orietur Au. 12. Assumatur enim Au. 14. et sumatur Au. 
16. Kai t6 E] quin etiam E astrum occasu vespertino occidit 
Au. 17. Kai to E] et etiam E ortu matutino oritur Au. 
19. 6uvouevov E. 

152, 1. t6 6e Z AC, Kai to l E. 4. Trrv Oy dpa CE, 

ti^v 0y euuav A (error ortus esse videtur ex compendio illo 
vocis dpa simili litterae e). 8. i% A in marg., ts C in marg., 
W E, TTp6T. te Oeujp. Da. 10. eXarTOv riiutcouc] e'XaTTOV AC 
(idem legit Va), eXdrrovoc E, om. Da, corr. Ho Auriam secu- 
tus, qui verba d-rrexr) cet. vertit f minori circumferentia dista- 
verint dimidio Signo'. Et conf. propositiones 16. 17. 18 ex 



LIBRUM DE ORTIBUS H. LIII 

ordine cum propositionibus 13. 14. 15, Martinum eo loco quem 
supra p. V adnot. 1 citavimus, p. 412. 11. exeivai E. km- 
ro\f\c ACE, dvaxoXfic Da Ho. errouevnv E, consequentem 
VaAu. 13. Kpuiyiv be] xai Kpuipiv JDa. 14. astris in signi- 
fero constitutis Va, quam quae in Zodiaco circulo sita sunt 
astra Au. 15. Sit horizon ab. signifer autem cd. Va, Sit 

Horizon circulus AB: Zodiacus sit CD Au. 16. ti Hu, om. 
ACE Au. 17 — p. 154, 1. be tujv Irrouevujv tivI tlu l~. cuv- 

avaTeWeruj om. E. 

154, 1. cuvavaTeWeruj tuj Z] post cuvavaTeXX^TUj add. be 
C, sed id delevit prima m. 2. IXdrrujv om. E. n.uicouc 

om. ACE Va (conf. ad p. 152, 10). 2. 3. Zxyoiou irepicpepeiac, 
Kal tuj Z ^ctuj om. E. 3. t6 y\ CE, g. Va, punctum G Au 
(id est t6 rj), to k descripsi ex A. Kal dTreiXrj^euj] capia- 
turque Va, et sumatur Au. 4. r\ KH] malim r\ HK auctore 
Auria, vel Vj HAK collata propos. 11. 6. Kai to E] etiam e. 
Va, quin etiam astrum E ortu matutino oritur Au. 14. ctHei 
Hu, dyei ACE, occultatur Va Au. r) yXu E. 15. xpovov 
Hu, tempore Au, om. ACE Paris. graec. 2364 (diutius vertit 
Va). 16. quam quae sunt in signifero astra Va, quam quae 
sunt in circulo Zodiaco sita astra Au. 17. \l A in marg., 

i£ C in marg., \Z' E, TTpoT. i?. 6eu0p. Da. 20. irepiqpe^peiav 
AC Ho, irepicpepeiav Da , -rrepiqoepeiac compendio scriptum E. 
21. £cTr£pid Te Hu auctore Au (vide proximam adnot.), ecrrepia 
ACE Da Ho (idem legit Va). et vespertina oriri et matu- 
tina occidere videntur Au. 22. 23. eis quae in signifero po- 
sita sunt Va, quam quae in circulo Zodiaco sunt astra Au. 

156, 1. 6 oe tujv £uj5iujv] signorum orbis Va, circulus Zo- 
diacus Au. 6. 4. quae igitur consequuntur cum c. orientur 
Va. 4. cuvavareXXei ACE (conf. p. 142,8), simul orietur 

Au (de Va vide priorem adnot.). 4. 5. Kai cctuj f\ VZ. cet.] 
sitque cf. signi circumferentia Va, sit autem CF circumferentia 
unius Signi Zodiaci Au. 5. Ziybiou Trepicp^peia] 9^ £wbiou E. 
5—8. Kai kTUJ to Z usque ad ^ujbiou rrepicp^peia om. C. 6. 
7. Kai dTretXr|(p0uj] capiaturque Va, assumaturque Au. 9. l-rrei] 
et quoniam Va. 11. 12. buvei to y Kai to e A, buvei to p (omis- 
sis Kai to e) C, buvei to e (omissis to y Kal) E, astrum E oc- 
casu matutino occidit Au. 15. 16. Kal t6 E, it\<l aurfic dpa 
vuktoc to E dcrpov] et e. eadem noctis hora Va, Quare astrum 
E eadem nocte Au. 16. to E dcrpov add. Hu. eum Te A, 



LIV ADNOTATIO IN LIB. DE ORT. II. 

ewa xe C, €&& xe E, corr. Hu. 17. eare^pta ACE, corr. Hu. 
18. ^ttI toO K 6vtoc] in k. existente Va, in loco M manente 
Au. 22. 23. estque kcl. circumferentia binorum signoruin 

Va, atque circumferentia MCK duo continet Zodiaci signa Au. 
23. dpa xp6vov C E, xp6vov dpa A, sed rectum ordinem verborum 
superscriptis notis 6 et a restituit prima m. d£ei AC, eiEei E. 
24.tujv erri toO 2u»6iaKoO] eis quae in signifero Va, quam quae sunt 
in Zodiaco astra Au. 25. if| A in marg., xy\ C in marg., ir\ ov ' 
Paris. graec. 2364 in marg., \r\ E, TTpdT. \Z. Geujp. Da. £uj- 
oiaxoO, sine i subscr., Paris. 2364, ut ACE ubique. 27. 28. 
dTr^xrj £uj6(ou u.ei£ova irepiqp^peiav] signi maiorem circumferen- 
tiam Va, maiori circumferentia uno Zodiaci Signo distent Au 
(de Graecorum verborum structura conf. p. 138, 9sq. 144, 10 sq.). 
158, 3. eTTiT^XXovTa ACE Paris. 2364 Ho, &var£XXovTa Da. 
&tt6 Tfjc ACE Paris.2364, &Trd 6e rr\c Da Ho. 4. Kpuipiv t€ 
A Paris. 2364, accent. corr. CE. 5. xpovov AE Paris. 2364, 
Xpovujv C. 6. 7. Sit horizon ab. signifer autem cd. Va, Sit 
circulus Horizon AB: Zodiacus circulus sit CD Au. 7. 8. 

dcTpov Ti Paris. 2364. 10. 11. 6e to Z Paris. 2364. 11. 12. 
Kai ecruj cet.] sitque cf. maior signi circumferentia Va, Sit 
autem circumferentia CF maior uno Signo Zodiaci Au. 12. 
Trepiqpepeiac Hu, Trepiqpepeta A, Trepiqpe^ Paris. 2364, cj a CE. 
16. eTrei] Kai errei Paris. 2364. 17. Kai to E] et e. Va, quin- 
etiam E matutinum oritur Au. 17. 18. eiri toO K 6vtoc] in 
k. existente Va, in loco K manente Au. 20. erri toO 6v- 
toc] in h. existente Va, in loco H manente Au. 24. 25. erri 
toO M ovtoc] in m. existente Va, in loco N manente Au. 
25. 26. eiri 6e toO A] at in 1. Va, sed manente Sole in loco M 
Au. 26. tocoOtov A Paris. 2364, tandiu (sic) Va, uXeiova 

CE, maiori Au. 27. &£ei AC Paris. 2364, e^ei E. 28. Kai 
^cti u€i£ujv 6uo £iy6i'ujv] Kai e^cri uettwv £uj6k>U'dC, estque maior 
signo Va, f circumferentia enim NCM est maior quam duo Zo- 
diaci Signa: Quare, etc.' Au. in fine add. auroXuKou irepl 

eTriToXujv Kal 6ucewv to 8': C, &utoX0kou irepi eiTiToXujv Kai 
6ucewv p. t^Xoc. E, t^Xoc auroXuKou Trepi €ttitoXwv Kai 6ucewv 
toO 6eur£pou : <■»-> Paris. 2364, T^Xoc toO 6eur£pou Trepi eiriToXujv 
Kai 6ucewv AutoXukou. Da, Autolyci de vario ortu et occasu 
astrorum inerrantium libri secundi finis. Au. 



ADNOTATIO IN SCHOLIA. 

4, 28. btd to d 6uo0 Kai g tujv Geobociou ccpaipiKuuv Paris. 
2448 ad propos. 1 , bid toO a' 6uo0 Kal <s' toO a' tOuv cqpatpt- 
kujv E pag. 6, bid toO a ov 6uoO Kal g tOuv cqpatpiKOuv tou a ov 
Paris. 2472 fol. 44 r . 30. dTto toO r\ toO d p J tujv cqpatptKOuv 
C fol. 129 v , bid to r\ toO d tujv cqpatpiKuuv Paris. 2448 ad pro- 
pos. 1, diro toO r\ toO a {3t|3\. tOuv cqpatpiKuuv Oeooodou E 
rjag. 6 , ecn to r\ toO pipX^ tujv cqpatptKOuv Paris. 2472 fol. 44 r . 

6, 26. C fol. 129 v E pag. 6, bid to 0' toO p' cqpatpiKOuv 
Paris. 2448 ad propos. 1, oid to i* toO $ ov Paris. 2472 fol. 44 v . 
27. C fol. 129 v . 

8, 27. btd to i toO J3 tujv cqpatpiKOuv Paris. 2448 ad pro- 
pos. 2 ; idern voluisse videtur C fol. 129 v , cuius scripturam bre- 
vissimis compendiis exaratam ac paene evanidam eo tempore, 
quo codicem in manibus habebam, legi dTr6 toO TpiTOU pifSXiou 
TUJv cqpatptKUJv. 28. btd toO ia toO d tOuv cqpatpiKuuv C fol. 

129 v item E pag. 8, nisi quod toO ia toO a'. 

10, 25. oid to i toO p tujv cqpatpiKuuv Paris. 2448 ad pro- 
pos. 2. 26. 6i6ti ai ev tuj outuj ev (cum nota compendii) 

Trepiqp^peia 6uoia Tcat elci Paris. 2448 ad propos. 2. 27. bid 

to 6ua\0uc KivetcGat rd em toO auroO ® ov cr|ueta Paris. 2448 
ad propos. 2, item Paris. 2472 fol. 45 r , E pag. 9, nisi quod hi 
£ttI omittunt et kukXou plenis litteris exhibent. 29. dvri- 

crpoqpov C fol. 129 v , dvTtcrpoqptov E pag. 9. 30. btd tov p 

3p cuva Kai bid t6 p Paris. 2448 ad propos. 3. 31. C 

fol. 129 v , E pag. 9. 

12, 23 — 25. C fol. 129 v , Paris. 2472 fol. 45 v , E pag. 11; 
paulo aljter Paris. 2448 ad propos. 4: toOto ecriv erri Tfjc uu- 
XoetboOc Kivficeujc. t6t€ y«P 6 icr|uepiv6c 6pi£uuv fivejai. Kai 

££ unvOuv Kai TrpD r\ f^uepa- eXdrruuv bef| eS unvOuv f\ vuS' r^uefjav 
(cod. r|udpac per compend.) be XifU), |6re 6 rjXtoc dvuuGev toO 
6pt£ovTOC qpatveTat, in quibus compendium post urjvOuv Kai cor- 
ruptum esse videtur ex TrpoceTi uopiou (an forte ex TrXeov?). 
23. 6 ecTtv CE, r\ ecrtv Paris. 2472. 24. £H (ante unvOuv r\ 

vuE) om. E. 

14, 27. C fol. 130 r , E pag. 11. 23. C fol. 130 r , btd tou 

ib' toO id' euKXetb. p'. pip\. E pag. 11. 29. oi yap TrapdXXrjXoi 



LVI ADNOTATIO 

cuuTriTrToucw C fol. 130 r strper verba contextus ecnv ydp aurif» 
TrapdXXr)Xoc. Compendium voculae Y a P y i x comparet, estque 
incertum an oe voluerit scriba. Negationem ou ego addidi. 
30. 31. C fol. 130 r , Paris. 2448 ad prop. 5, Paris. 2472 fol. 45 v , 
E pag. 12. 30. 6 ecnv] touto ecriv Paris. 2448. 31. icrj- 

uepia compendio ancipiti exaratum in C, unde icr)uepiv6c Pa- 
ris. 2472. 

16, 25 — 29. C fol. 130 r , Paris. 2364 fol. 90 r , E pag. 13. 
25. 6 ejtor C Paris. 2364, 6 apor E. 26. 6id t6 a' C, 6id 

to a Paris. 2364 E. rf|C ante eaurou evanuit iu C. 27. 

bnXovOTi C, onXovoTi Paris. 2364. 6ti 6 efibj Paris. 2364 E, 

in C vestigia tantum litterarum o efS comparent. Ka06 Paris. 
2364, Ka0' 6 E, in C nihil nisi Ka0 comparet. 28. rf|C ante 
T0,uf|C evanuit in C. 30. C fol. 130 r , item E pag. 12, nisi 

quod ie et d. 31. 32. C fol. 130 r , Paris. 2472 fol. 46 r . 31. 
orav Paris. 2472, ore descripsi ex C. 32. r\ C, ecri Paris. 

2472. 

18, 16. 6id tou p' Kai f' tou p tOuv cqpaipiKuuv C fol. 130 r , 
item E pag. 14, nisi quod j? Kai f tou p'. 17—28. C fol. 

130 r , Paris. 2472 fol. 46 v , E pag. 15. 19. Kai f\ C Paris. 

2472, r^ Kai E. 22. ev tuj d E. 23. tuj e E, tou e C, om. 
Paris. 2472. 24. TrapdXXnXoi C Paris. 2472, TrapdXXrjXoi eiciv 

E. 25. icai eia Paris. 2472. 26. oi opr orJ2 Paris. 2472. 

27. AArE Hu, dvr~e C, dr] • ye Paris. 2472, drffe E. 28. kn 

auTUJv Paris. 2472. 

20,27. C fol.l30 r , item E pag.14, nisi quod Te. 28—30. 
C fol. 130 r , Paris. 2364 fol. 90 v , 2472 fol. 46 v . 28. 6 m\l C 
Paris. 2364, 6 alr\ Paris. 2472 Au. tou oot C, tou apr Pa- 
ris. 2364. 2472 Au. 31. E pag. 14 (numeri notati sunt a' et 
y'). 32. C fol. 130 r , E pag. 14. tou e' 6pou Hu, tou 6pou 
C, tou tt6Xou € E. 

22, 28. 29. C fol. 130 r , item E pag. 19, nisi quod Ka0d 
TTOiouav. 30—32. Paris. 2472 fol. 47 r , E pag. 19. 31. toO 
e Paris. 2472, om. E. 

24, 21. C fol. 130 r , item E pag. 16, nisi quod \e et a. 
22. 23. C fol. 130 r , Paris. 2472 fol. 47 r , E pag. 19. 23. ecp- 

dujerai C Paris. 2472, ecpdTTTeTai E. Kai ante ouoiujc om. E. 
Tf| dvu) Paris. 2472. beixOficerai Paris. 2472 E, Ypaqpf)C€Tai 

C. 24. C fol. 130 r , E pag. 16. 25. C fol. 130 r . 



m SCHOLIA LVII 

26, 15 — 26. Paris. 2472 fol. 47 v , E pag. 19 sq. 15. 16. 

'AXX' n. — 0eujpn.uaTOC om. Paris. 2472. eiri toO be toO 6e- 

(pprju-aTOC E. 19. orrep ecnv Paris. 2472, Srcep ecTiv E. 20. 
tov tt6\ov om. Paris. 2472. irapaXXriXurv per compendia scrip- 
tum in Paris. 2472 et E. kukXwv om. Paris. 2472. 20. 21. 
to H] rectius to Z, quod auctore Auria edidimus in append. 
p. 161; nam ex figurae ratione rj non est tuxov cnueiov. 23. 
oeiEojuev E. 25. 6e om. E. Kai ev tlu s' Oeujp cum linea 

per p ducta E, tv rf\ e G^cet Paris. 2472 (sed litterae ev xf\ 
non satis distinctae). 27. C fol. 130 r , item E pag. 17, nisi 

quod Aid toO om. et numerorum notas ie' et a exaravit. 28. 
C fol. 130 v , item E pag. 17, nisi quod Atd toO om. et numerorum 
notas 10' et ia' exaravit. 29—35. C fol. 130 v , E pag. 18. 

29. irp6c ante eTrtTre6ov om. E. 32. toO AB kukXou] toO apK 
E, tot fere litterae evanuerunt in C. 33. 34. rj 6e 0M us- 

que ad Tfj AB hoc loco om. E, habet autem haec verba pecu- 
liaris scholii instar pag. 20. 34. Trpoc 6p0dc — ty) AB in C evanue- 
runt. 6p0dc] JJ E. 35. Trjv imo ku0 C, tujv utt6 k,u0 E. 

28, 17 — 34. C fol. 130 v , Paris. 2472 fol. 47 v , E pag. 19. 
17. 6He!a ecTiv C, oSeia ecTiv Paris. 2472 E. 18. tov EPO 

Hu auctore Au (conf. append.), tov Ho C Paris. 2472 E. 20. 
6 ZP] 6 Ep E , ^i 2p Paris. 2472 , tot fere litterae evanuerunt 
in C, ri ZP commendavimus in append. p. 162 (ubi versu ante- 
paenultimo numerus 19 restituendus est pro 9). 24. dpa 

(ante r\ HP) C, dpa gcrai E, e^crai (omisso dpa) Paris. 2472. 
27. 28. HIP usque ad n. Orro (ante PIO) om. E. 28. pc0 CE 
et Paris. 2472 in marg., ecfO idem Paris. in contextu. 34. ai 
^v Paris. 2472 E. 35—37. C fol. 130 v , Paris. 2472 fol. 47 r . 

35. toO F C, toO n Paris. 2472. 38. C fol. 130 v . 

30, 23. 24. C fol. 130 v (scriptura partim evanida), Paris. 
2472 fol. 48 r , E pag. 22. 23. tuj oo E, tu> oo C, tiu oX 

Paris. 2472. 24. tfkre Kai Td TrXeiova cr)jueTa cuu.paXetv Paris. 
2472. 25. C fol. 130 v , item E pag. 21, nisi quod 'Atto toO 

om. et numerorum notas vf' et p exaravit. 26. C fol. 130 v , 
Paris. 2472 fol. 48 r . 

32, 28. C fol. 130 v . 34, 28. C fol. 130 v , Paris. 2472 fol. 
48 r , E pag. 22. 6id toO k' (an forte n/?) C, 6td to r\ Paris. 
2472, 6td toO d E. toO p' C, toO $ ov Paris. 2472, toO p E. 
29. C fol. 130 v , item E pag. 22, nisi quod (3 exaravit et toO 



LVHI ADNOTATIO 

PipXiou om. 30. C fol. 130 v , E pag. 23. 6|UOioc ecrlv (ecriv 
compendio scr.) C. 

36, 15. 16. C fol. 130 v . 17. C fol. 130 v , item E pag. 24, 
nisi quod e' et P'. 

38, 19. C fol. 130 v , E pag. 24. 20. C fol. 130 v , item E 
pag. 24, nisi quod Aid tou om. 21. C fol. 130 v , item E 

pag. 25, nisi quod Atd tou om. 22. C fol. 130 v , item E 

pag. 25, nisi quod 'Qc ebeixOn. 6id tou om. [verba ujc e&eixOn. 
ad p. 36 extr. spectare videntur]. 

40, 30. C fol. 131 r , E pag. 25. 42, 30. C fol. 131 r , 6ia 
to l toutou E pag. 26. 44, 30. Paris. 2448 ad propos. 12. 

Aid toO a' Hu, 6td to a tou a' Paris. 46, 19. C fol. 131 r , 
Paris. 2448 1. c, Paris. 2472 fol. 48 V ,_E pag. 28. tou t tou a' 
CE, to Z toO a ov ' Paris. 2448, t6 Z tou d Paris. 2472. 20. 
Paris. 2448 1. c, qui numerorum notas 4 et d exhibet. 

48, 20. C fol. 150 v , E pag. 29. 21. CE ibid. oiov C, 
oiov ujc E. 

50, 23. E pag. 29, qui ouvov pro 60vov. 24—29. C fol. 
150 v , E pag. 91. 26. tout' lcn toO 6. dvaTdUei E. 27. 

touto Hu auctore Au, toutuj CE. 30. C fol. 150 v . KaT- 
avrdZecOat satis distincte scriptum in C, corr. Hu. 

52, 29. C fol. 150 v , E pag. 31. to TZA] ro yZb C, yla 
(omisso to) E. ^juikukXiov C, notam semicirculi et superscr. 
ov exhibet E. 30. 31. C fol. 150 v , E pag. 91. 30. Tout' 

€cti E. 30. 31. buvov — buvov CE, ac sic posthac 

54, 30. C fol. 150', E pag. 31. eri E, it% Iti C. 

56, 27—30. C fol. 150 v , E pag. 91. 29. Tfjc -fZb 9* s C, 
Tfic 9 a; tTcx E. 31. C fol. 150 v . 

58, 19—24. C fol. 150 v , E pag. 91. 19. ToOt' ^ctiv E. 
Ictuj Hu auctore Au, dir6 CE. irpujTri E, a ] C. 21. eiua 
E (similiter idem posthac). 22. urj&eiruj C, urjTruj bk E. cttI 
to e E, eTri to C. 23. qpaivecOai C, qpOiveTai E (non prae- 
veniet D astri ortus Au). 25. C fol. 150 v , E pag. 34. 26 
— 33. C fol. 150 v , E pag. 92. 26. 7reptqpepetav] Q av CE, et 

similiter iidem passim. 30. ou Trotei — dvaToXrjv] exspecta- 
veris ou Yi veTCtl — *1 ^ a qpaivoudvrj dvaToXri (conf. Auriam in 
append. schol. 6). 32. Tnv Yn E , Tnv yv C. 34. C fol. 

150 v , E pag. 34. auTdc] auTd E, au et superscr. t cum am- 
biguo ductu compendii C, corr. Hu. 35. CE ibid. 



IX SCHOLIA. LIX 

60, 28. C fol. 151 r , item E pag. 35, nisi quod a. 29. 

CE ibid. eri y&P aUTai eiciv C, £cti ydp auxd (omisso eiciv) 
E, corr. Hu. oti uXripujcei aOxd E. 30. E pag. 35. 

62, 23. 24. C fol. 15 l r , E pag. 36. 23. toOt' Ictiv popiuu- 
Tepov toO d toO jj". toOt' £ctiv E. 25—29. C fol. 151 r , E 

pag. 92. 25. KaTd .•! E. ypacpoOci E. 26. to,t€ C, t6t€ 
E, tunc Au. 

64, 16—28. C fol. 151 r , E pag. 92 sq. 22. toOt' fcn E, 
ac sic posthac. 27. e*crt (ante toO f|\iou) om. E. nXiou 

om. C. 29. C fol. 151 r . 30—32. C fol. 151 r , E pag. 93. 

66, 22. C fol. 151 r , E pag. 38. to 9 CE. toO om. E. 
23. C fol. 151 r , E pag. 93. auTil) E. 24—26. C fol. 15 l r , 
E pag. 93. 27—30. CE ibid. 27. dvaTeiXai] oriatur Au. 

28. to E om. Au. 

68, 25. 26. C fol. 151 r , E pag. 93. 25. ev E, v C. Td 
dcrpa om. C. 27. 28. C fol. 151 r , E pag. 93. 29—32. CE 
ibid. 29. Tf)V y«P C, T6 y«P E. 

70, 27 — 29. C fol. 151 r , E pag. 94. 27. Kav E. rrjv 
(ante ueraHu) Hu, f) C, f| E, quae est Au. 28. Tf|c NK] ex- 
spectaveris tuuv N K, sed idem dicendi genus redit in scholio u 
(p. 80, 19). f| dtro toO N eujc toO K del. Hu. 29. Tfjc £v 
CE, Tfjc kv legisse videtur Au. 30. 31. C fol. 151 v , E pag.94. 
31. KaTaYpdiyavTOC aKoXouGricouev E. 

72, 29. C fol. 151 y , E pag. 94. UTre£€ et superscr. X' C, 
ucp' e£ e\ei E. 

74, 27 — 29. CE ibid. 27. t£c vuxenuepojv CE. 28. 
ouv C, p E. o 4ctI CE. TrapacuvavaT^XXei E. 

76, 26—31. C fol. 151 v , E pag. 94. 26. ei C et in marg. E, 
f| E in contextu. 27. curjei Hu, biiei CE, percurrit Au. to 
fiuicu toO 0U E, to co t°0 > s |ui0" ou C, et dimidium circuluni 
zodiacum, id est Kai to fjuicu cet. Au. 28. e^uvev E. 29. 
ou tov C, duTov E. 30. ttoO E, item vs. 31. fjuicu E, idem 
compendium quod vs. 27 C. 

78, 23. C fol. 151 v , E pag. 95. ToOt' ecnv E. 24. 25. 
CE ibid. 24. toOt' ^cti E. eYYtcei CE, appropinquaverit 
Au, CYYfcrj coni. Hu. 25. Te £: C, ie' uv E. 26. CE ibid. 
27. 28. CE ibid. 28. toO e E, toO (voluisse videtur toO 

f|\iou) C, om. Au. 

80, 19. 20. CE ibid. 19. crjueiov Hu auctore Au, tov 



LX ADNOTATIO 

jurj C (et tov quidem compendio scr.), T|ufi E. 20. beiKvOvxec 
E. 21. 22. E pag. 95. 23. 24. C fol. 151 v , E pag. 95. 

25 — 35. C fol. 151 v ; totius scholii initium tantum habet E 
p. 95: toOt' ecn uct& to 60vai tov f]\iov irpoc tuj Z. 25. 

6uvai C, item posthac. 26. 6uvov, ut solet, C. 28. ur]6e : Tru> 

Hu, uri6erepov C, nequaquam Au. 29. u ie C. 30. etra 
C, adhuc enim (id est eri y«P) -4w. auTo Hu, auTov C, 

ipsum (scil. astrum) Au. 30. 31. dcpavicOev, ttpokotttovtoc cet.j 
lateat necesse est: quin etiam sole-, motu mundo contrario 
progrediente, non apparet astrum Au. 

82, 23 — 25. C fol. 151 v , E pag. 95. 23. ToOt' ecnv E. 
26. C fol. 152 r . 27—31. C fol. 152 r , E pag. 95 sq. 27. tujv 
Z fj C, tujv Zy\ E. Trapa\\fi\ouc solito compendio scriptum 

in E. 28. t& au8 C, toO au8 E. uepupepeiai solito com- 
pendio scriptum in CE. 29. r]uiKUK\iujv E, qq C. 30. t& 
Z fj C, t& Zt\ E. 

84, 20. C fol. 152 r . toO 6 C. ccpaipac solito compendio 
scriptum in C. 21—24. C fol. 152 r , E pag. 95. 21. kl- 

ecpeuxev E. 22 init. £cnv E. 6r)\ov6Ti C. 23. apa om. 
E. cpeuEeTai E, cpeuHei descripsi e C. 24. to Z E, to b C. 
25. 26. C fol. 152 r , E pag. 96. 25. Trapa\\ri\ouc solito com- 

pendio scriptum in E. 26. tujv 06 E. 27—31. C fol. 152 r . 

29. Te u C. 30. &tto toO V Hu auctore Au, Otto to y C. 

86, 16—19. C fol. 152 r , E pag. 96. 17. €Tr' uOtlu C. 18. 
ie uovac CE. <kyay6vTOC C, &y«TOvtoc E. 

88, 19—24. C fol. 152 r . 20. dvax&Xei Te C. f\ in 

marg. corr. C alia littera, quae est in contextu, deleta. 
\ (ante 6uvei) C corr. ex alia quadam littera. 25—31. C fol. 
152 r . 28. eu»a C. 32. E pag. 49. 

90, 21. 22. C fol. 152 r , E pag. 96. 21. Trepicpepeiac] 99«»' 
E, *?f C. 23. C fol. 152 r , E pag. 96. f) 6uvov C, ou 6uvov 
E. 24—28. C fol. 152 r . 25. ueT& Tfrv 6ixoTOuiav C, eTri 

Tfjc 6ixoTOUiac voluit Au. 28. uicTe icrjv eivai Tfjv 82 (sic) 

Tfi Zf C, Kai ^CTai icrj f| r)8 Tfj Qj voluit Au. 

92, 15—18. C fol. 152 r . 15. fj HMA Hu auctore Au, f| 
u\ C. 17. apa Hu auctore Au, om. C. Tfj OA Hu auctore 
Au, Tfj Ou C. uiv Hu, eH uiv C, e6eix0r) 6e 6'ti voluit Au. 

Tfl ©n Tfi Tf] ©t C. 18 init. post ecri haec fere exciderunt: 



IN SCHOLIA. LXI 

Xorrrfi (vel Kai Xonrfi) dpa f| BM Tf) TA icrj ecriv. ujv f| EM Tfj 
NA icrj £crr (conf. in appendice Auriae scholium 29). 19. C 
fol. 152 r . 20-26. C fol. 152 r . 20. f|uicouc] rjui C super 

vs. 20. 21. ie — ie C. 22. 23. toutou ouv C, igitur Au, 

TOiyapoOv vel toutujv ouv (scil. tujv ie' uopiwv) coni. Hu. 27 
—30. C fol. 152 r . 27. Tf)v yv" C, Triv f9 f\ xf|V & voluit Au. 
29. 30. eqpaiveTO — 6iaTropeuo|uevou om. -4w. 31 — 33. C 

fol. 152 r . 

94, 20—23. C fol. 152 r , E pag. 96. 20. Tout' gcnv E. 
21. Kai dvaTeWov C, f) dvaTeXXov E. tout' ecn E, scilicet 
Au, om. C. 22. cujov C, euuviov E. tt6t€ 6e C, ttot6 6e 
E, quod autem interdum Au. 23. ev tuj p w E, kv tuj p' 

(h(3X. ev tuj 10 C, 2. propositionem 2. huius .Ai*. 

96, 26. C fol. 152 r . 6 C. 27—31. C fol. 152 r , E pag. 96. 
27. KaTCt Hu, Kai CE (idem legit Au, qui post auTf)c ttjc fr\ 
addi voluit utto fr\v oucrjc. 29. qpaiveTai 6iepxouevr) CE, ap- 
paret deferri Au. 30. eXdccovi Xpov^ ^poc toutov f]Xiov E. 

32. C fol. 152 v , E pag. 96, idem p. 53 ad propositionem 11 
extremam. 16' C, 6 E utroque loco. Trepi om. E pag. 53. 

98, 26—31. C fol. 152 v , E pag. 97. 28. to 6 C, to 6 

dcrpov E. 6id to 9 CE. 30. tout' ecnv E. 31. euja C, 
f) £um E. 

102, 25—33. C fol. 152 v , E pag. 97. 27. t6 6 CE. 29. 

tout€"ctiv add. Hu, scilicet Au. olov to Z E in contextu, C 
pr. m. in margine. 30. tou J3 E, tou 6 C, item proximo 

versu. 30. 31. Tfyv ArZ Hu auctore Au, tt\v acf CE. 32. 
dXrjeivfic Hu auctore Au, qpaivouevrjc CE. Kai ccti C. 

106, 23—26. C fol. 152 v , E pag. 97 sq. 23. 6uj6eKaTr)- 

uopiov (sine acc) CE. 23. 24. KaTd 6uj6dKaTa C, Ta 6w6eKa 
Td E. 25. 6v Tfic C, ev Tfj E. Trepiqpopdc] g'. C, > a '" E. 
dqp' oiou 6' dv C, dqp' fjc ouo' dv E. 

108, 24. C fol. 153 r . toutccti paene totum evanuit in C. 
6iduerpov solito compendio scriptum in C. 25. 26. C fol. 153 r , 
E pag. 98. 26. ecnv compendio scriptum in C, ecrat E, est 
Au. 27-30. C fol. 153 r , E pag. 98. 29. f| Zb CE, SXri f| 
e6 voluit Au. 30. ecriv C, e^crai E, sit Au. 31—33. C 

fol. 153 r , E pag. 98. 31. 'ETrei ydp E. 34. C fol. 153 r . 

tou iy C. 



LXn ADNOTATIO 

110, 22. C ibid. 23—26. C ibid. 24. to eirouevov C 
ipsi per diametrum positum Au. 25. oXn C, 6\rj r\ fr\ vo- 

luit Au. 25. 26. dvar^XXouca 6e oux opaxai C, quare et tota 
oriri videbitur Au. 27. C fol. 153 r . 28. 29. C fol. 153 r , E 
p. 98. 28. Atd to E, 6id tou C. auTfiv E, outov C. 29. 
aUTfjc om. C. 30 — 33. C fol. 153 r . 31. rrepiqpepeia] tota 

circumferentia Au, mirum compendium comparet in C, scilicet 
7T cum a superscripto et nota compendii adscripta., denique 
super haec linea transversa cum littera a. 32. ff\v ecriv 0. 

112, 27. C fol. 153 r . 6td toO d C, 6id to a' coni. Hu. 
28. 29. C fol. 153 r , E pag. 98. 28. ToOt' Ict\ E. upoc 

dpKTOv E. 30. C fol. 153 r . 6taueTpouc solito compendio 

scriptum in C. 

114, 18. 19. C fol. 153 r , E pag. 98. 19. s C, §5 E. elvai 
om. E. 20. 21. CE ibid. 20. Tout' ecriv E. 21. dir- 

exov C. erri to TT Hu auctore Au, drro to0 tT CE. 22—25. 
C fol. 153 r . 26—28. C ibid. 27. 6tdcrr|ua] 6 cum nota 

compendii C, intervallum Au. 27. 28. o ecrtv usque ad kXi- 
uara om. Au. 29. 30. C fol. 153 r . 29. to £ to0 d C. 

116, 21—26. C ibid. 23. evr6c Hu, ev ffjc C. 24. 6e 
rdc dXXac qpdcetc] 6td rdc dXX. qp. coni. Hu. 27—29. C ibid. 
28. erriToauTo cpOdcet C. 30—32. C ibid. 33. C ibid. 34. 
35. C ibid., E pag. 98. 34. ToO ydp l E. 35. euua C (ut 
solet), euua E. 

118,30 — 119,5. C fol. 153 r . 31. to P Hu, to o C, sed 
o ex alia littera mutatum. 2. to irpo toO ev ili C, post irpo 
toO quaedam excidisse vel alia ratione locum corruptum esse 
suspicatur Hu. 6. 7. C fol. 153 v , E pag. 98. 6. Qcre (sic) 
Kai touto dei elvat E. toO Z CE. f^puriveucev E. 

120, 26—28. C fol. 153 v , E pag. 99. 26. tou =f E, to f 
C. 27- toO 6e y CE, toO 6e r\ voluit Au. 28. toO 6 kriv 
f^ ecrrepia errrroXri E. 

122, 17—28. C fol. 153 v . 20. 60vov coni. Hu. 21. Tf,v 
Zr\ C, rfiv Z^Y\ voluit Au. 21. 22. Tdc X f|u^pac C, per tri- 

_ 01 

ginta dies Au. 23. te u C, item vs. 26. 24. ou6e Hu, 

oure C, item vs. 27. 6iduerpov solito compendio scriptum in 
C, item vs. 27. 29—31. C fol. 153 v , E pag. 99. 30. Kard 
toO Z CE, corr. Hu. 30. 31. Kard to y E, Kard toO y C. 

31. f| ante ecrrepta add. E. 32. 33. CE ibid. 34.35. CEibid. 



IX SCHOLIA. LXIII 

124, 25. C fol. 153 v . be Hu, ambiguurn T€ an xduuc C. 
26—28. C fol. 153 v , E pag. 99. 29—31. CE ibid. 30. dvTi 
toO (ante Gcxttov) om. CE. 

126, 15—32. C fol. 153 v (nommlla in hoc scholio sunt 
dubia, quaedam etiam corrupta). 24. kgct& (pro xai) toO 

euujvuuou coni. Hu. Kal (ante ecrai) add. Hu. 25. tuj (ante 
ev Tfj dvaToXfj) Hu pro tou. 28. 29. cttoucvov &rf C. 29. 30. 
fortasse post f|Youu.evov interpungendum est, quo facto verba 
KaTd ty\v 0£av tujv Zxubiujv, deletis proximis KaT& t& err6|Lieva, 
pertineant ad XaupdvovTai f|uiv. 33. 34. C fol. 153 v , E pag. 99. 
33. toO y E, tou l (sed l minus dictinctum) C. 34. eul toO 
N Hu, erri toO fj CE. 35. C fol. 153 v bis (scilicet post cx6Xiov 
Xp et Xb), E pag. 99. ToOt' ?crt E. ev w 6 fjXioc rr\v yic E. 

128, 19 — 26. C fol. 153 v (in hoc quoque scholio nonnulla 
corrupta sunt; paulo plura et emendatiora praebet Au). 23. 
6 TaOpoc tuj KpiuJ ^Tr6(uevoc] 6 TaOpoc d7r6juevoc• 6 TaOpoc tuj 
Kpuij err^uevov C, taurus consequitur ipsum arietem, quoniam 
sol prius comprehendit arietem quam taurum Au. 27. 28 

C fol. 153 v , E pag. 99. 29—32. C fol. 153 v , E pag. 100. 29.. 
ri K0 Hu, -q 69 CE. _30. OTrepTriTTTei E. 31. 32. Fe u° e^' 
CKdcTOu eTre"xov C, fe' |U0 eqp' cktou eirexov E. 

130, 25. C fol. 153 v KeiTai 6 Hu collato scholio v, Kei 
toto incerta scriptura in C. 26—28. C fol. 153 v , E pag. 100. 
26. Tf) 7H C, Tfj kvH E. 

132, 25. 26. C fol. 153 v . 27—29. C fol. 153 v , E pag. 100. 
29. 6v om. E. 30. C fol. 153 v . 

134, 26—29. C M. 154 r , E pag. 100. 26. ev tuj i? C, 

ev tlu <s' E. 28. X C, X' E, ac similiter posthac. 30—32. 
CE ibid. 30. ev tuj&€ C, ev tuj &e E. 31. 32. toutuj t<e 

Kal tuj eHfjc C, toOtuj oe Kai eHnc E. 33. C fol. 154 r . 

136, 26—31. C ibid. 30. Tfrv KHV\ Hu auctore Au, Tfjv 
kt C. 32. C ibid. 

138, 20—22. C ibid., E pag. 100. 21. f|uiceoc (ante be 

f)) C, fjuiceujc E. 22. eXa cum nota compendii C, eXdccuuv E. 
23—25. C fol. 154 r , E p. 100. 23. ToOt' gcn E. X C, item 
vs. 25. 24. euuav (ut solet) C, eOuov E. TrapaYi cum nota 
compendii C, TrapaYvrveTai E. 25. bi& to f CE, corr. Hu. 

140, 28—32. C fol. 154 r . 142, 27. C ibid. 

144, 20-22. C ibid. 21. Yivouevr|c coni. Hu. 22. to 
E Hu pro to 0. Kai ante eorepiov add. Hu auctore Au. 



LXIV ADNOTATIO IN SCHOLIA. 

23. 24. C ibid. 24. toO oe k C, sed k minus distinctum no- 
taeque n. admodum simile. 25 — 29. C ibid., E pag. 101. 

25. 26. t6 C, t6 6 eeujpn.ua E. 28. ujc erri tcc Z Kai |u vo- 
luit Au. Tivi om. E J.tt. 29. otov to Z CE, coit. Hu 

auctore Au. to e E, tuj e C. 

146, 29—31. C fol. 154 v , E pag. 101. 30. em toO K ecri 
Hu auctore Au, £tt6u€vov ecTi C, om. E. 31. in lacuna haec 
fere exciderunt: Kpuipiv dpa ayei, ev Cb 6 r\kioc Tnv QfK Trepi- 
cpe^peiav bi^pxeTai. 32. C fol. 154 v . tuj ie C. 

150, 21—23. C fol. 154 v , E pag. 101. 21. 'Aoiacpopujc E. 
22. eiuav C (ut solet), euuav E. 24—32. C fol. 154 v . 24. 

eiKOTiuc non satis distincte scriptum in C. 27. dcpicrduevov 

C, corr. Hu auctore Au. 33—35. C ibid., E pag. 101. 33. 
'Abiacpopujc E, Indifferenter Au, 5tacp6pujc C. 34. ev uecuj 
ydp, omisso tuj, coni. Hu. 

152, 18—20. CE ibid. 19. cpedcei CE, corr. Hu. 20. 
cpavev Hu, cpaveic C s , cpdvac E. dvaTeiXav C, dvaTetXat E. 

21—23. C fol. 154 v . 24—30. C ibid. 28. 6uav compendio qui- 
dem, sed eo minime ambiguo scriptum in C; attamen fcucetc vel 
bucudc legendum esse videtur. dTro tou Z C, d-rro tou 6 vo- 
luit Au. 29. 30. eiri Td Z Kai jil voluit Au. 

154, 24. 25. C ibid., E pag. 101. 26—29. C ibid. 28. 6rav] 
6\nv coni. Hu auctore Au. 28. 29. t^v ArM Hu auctore Au, 
t^v orfjd C. 

156, 29. 30. C ibid., E pag. 102. 29. ctt! C, 'ETrei E. 

30. TrpoPn. C, irpo E. 

158, 29. CE ibid. ydp et ecriv om. E. 




ATTOATKOT 

IIEPI KIN0TMENH2 2<MIPA2 

BIBAION 

IIEPI EniTOA&N KAI AT2E&N 

BIBAIA ATO. 



AUTOLYCI 

DE SPHAERA QUAE MOVETUR 

LIBER 

DE ORTIBUS ET OCCASIBUS 

LIBRI DUO. 



Autolycus. 



AYTOAYKOY 

IIEPI KINOYMBNHS 2<J?AIPA2. 



"Oqol. 
a . r O[iaXcog Xsystai cpsQS6&at 6r}{isia, o6a sv l'6cp 
%Qov<p l'6a ts [j]] xal o[iot,a {isys&rj dts^SQ^stat. 5 

ji'. 'Eav ds siti tivog yQa^i^irjg cpsQo^isvov xi 6r\- 
[lsiov b^iaXcog dvo yQa^^tccg dis£sXd-rj, tbv avtbv s%st 
Xoyov o %s %Qovog %Qog tbv %qovov, sv co xl 6rj[isiov 
sxatsQav tcov yQa^i^icov dis%rjX&sv, xal r) yQa^r) itQog 
tr)v yQa^rjv. 10 

IlQOTuoeig. 

a . 'Eav 6cpaiQa 6tQscpr\tai b\iaXcog %sq\ tbv sav- 
trjg a%ova, 7tdvta ta siti trjg siticpavsiag trjg 6cpaiQag 
6r][isia, o6a [irj S6tiv s%\ tov a^ovog, xvxXovg yQatysi 
%aQaXXr\Xovg rovg avtovg %6Xovg s%ovtag tfj 6cpaiQa 15 
xa\ sti oQftovg %Qog tbv a%ova. 

"E6tco 6cpaiQa r)g a^cov s6tco r) AB sv&sia, itoXoi 

1) Conf. indicem Graecitatis s. o[ioiog. 

2) Hoc est peracta spacia temporibus proporfcionalia sunt. 
MAUROLYCUS fol. 61 r . 

PROPOS. 1—3: Pappus collect. 6 cap. 33 (p. 518—520). 

3) Nam tales circuli describuntur per rectas a punctis ad 
axem, super quo sphaera versatur, perpendiculares : et ideo 
per 9 m primi sphaericorum Theodosii habent dictum axem 
cOmmunem et polos communes. et per 2 m secundi sunt invi- 



AUTOLYCI 
DE SPHAERA QUAE MOVETUR 

LIBEB. 



Definitiones. 

1. Aequabiliter puncta ferri dicuntur, quaecunque 
aequali tempore aequales ac similes linearum magni- 
tudines percurrunt *). 

2. Sin auteni punctum, quod in linea quadam 
fertur, aequabiliter duo eius lineae segmenta percurre- 
rit, tempus ad tempus, quo punctum utrumque seg- 
mentum percurrit, in eadem ratione erit ac segmen- 
tum ad segmentum 2 ). 

Propositiones. 

r Prop. 

I. Si sphaera aequabiliter circa axem suum con- i 
vertetur, omnia in superficie sphaerae puncta, nisi 
quae in ipso axe sunt, parallelos circulos describent, 
qui eosdem polos ac sphaera habebunt et perpendicu- 
lares ad axem erunt 3 ). 

Sit sphaera cuius axis recta a/3, poli autem puncta 

cem paralleli. MAUROLYCUS fol. 61 v , qui cum nonam primi 
libri propositionem citat, suam Theodosii sphaericorum editio- 
nem (fol. 2 V ) sequitur; at secundum Graecos libros manu scri- 
ptos iu nostris editionibus est propositio octava. 

1* 




4 IIEPI S3>AIPA2. 

ds avrrjg ra A B Or]{isZa, xa\ OTQEcpsO&co i^iaXcbg %eq\ 

rbv savrrjg d%ova rbv AB ' Xsyco on 

itdvra rcc i%\ rfjg i%ccpavsCag rr)g «, / \ A 

OcpaC^ag 0?i[i£la, oOa [tr) sOtlv i%\ roi» 

a%ovog, xvxXovg yQaxjjEL %aQaXXr)Xovg 

roug avrovg %bXovg syovrag rrj OcpaiQa 

%al stl oQ&ovg TtQog rbv a%ova. 

ElXr\cp%co yccQ rc Orj^isZov i%l rrjg i%LCpavsCag rrjg 
OcpaiQag rb T, xa\ rjx&co d%b rot) T i%\ rr)v AB sv- 
ftsZav xddsrog r) TA , xa\ ix$s$Xr\0$co rb dtd rcov 10 
itbXcov rcbv A B xa\ rrjg TA i%C%sdov' %oir\osi dr) 
(a) ro[ir)v xvxXov. sOrco avrov f]\iLXvxXLOv rb ATB. iav 
dr) [tsvovorjg rryg AB svdsCag %eqleve%&sv rb r){iLXv- 
xXiov stg rb avrb itdXiv aTtoxaraOTa&rj bfisv TjQ^aro 
cpEQEO&aL, OviiTtsQLEVEx&riOsraL avrcp xa\ r) TA svdsZa 15 
xard itdoav {israxCvrjOLV tov ATB r)[iLXvxXCov dia- 
{isvovOa rrj AB EvdsCa %Qog OQ&dg, xa\ yQaipSL xv- 
xXov sv rfi OcpaCQa, ov xevtqov 'sOrac rb A Or\\asZQv, 
r) ds ix tov xevtqov f) TA %Qog OQftdg ovOa rco AB 
cc^ovl [dcd rb xa\ rr)v TA ais\ dLa\isv£iv rrj AB %Qog 20 
OQd-dg]. xa\ cpavsQov qtl ra A B Orj\isZa %oXol sOov- 
(|3) rat tov yQacpsvrog xvxXov, i%SLdr\%SQ d%b rov xevtqov 
rrjg OcpaC^ag xddsrog r)xraL xa\ sx^s^XrjraL r) AB scog 
rrjg ETtLcpavsCag rf)g OcpaC^ag. b{ioCcog df) dsC$o[isv otl 
xa\ Ttdvra rd i%\ rr)g i%LcpavsCag rrjg OcpaC^ag Or]\isZa, 25 
oOa fir) sOtlv i%\ rot» d%ovog, xvxXovg yQajpSL %Qog 
oQ&ag rco AB d\ovL rovg avrovg %bXovg sypvrag rrj 



(a) did xb a b\iov nccl <s' xov a' zcov @eodo6iov acpai- 

QIHCOV. 

(§) 'Anb xov 7\ xov a fiifiliov xcov ocpaiQiv.(ov. 30 



DE SPHAERA PROPOS. 1. 5 

a f}, et vertatur aequabiliter circa axem suum «/3; 
dico omnia in superficie sphaerae puncta, nisi quae 
in ipso axe sunt, parallelos circulos descriptura esse, 
qui eosdem polos ac sphaera habebunt et perpendicu- 
lares ad axem erunt. 

Sumatur enim in superficie sphaerae punctum ali- 
quod y, et a y ad rectam ccfl ducatur perpendicularis 
yd, et producatur planum quod per polos a /3 et rec- 
tam yd transit; hoc igitur sphaeram secans circulum 
efficiet 1 ). Sit eius circuli semicirculus ay$\ si igitur 
manente recta «/3 semicirculus conversus eodem red- 
ierit unde converti coepit, una cum eo etiam recta yd 
circumferetur per omnem semicirculi ayfi conversio- 
nem manens perpendicularis ad rectam a/3, et descri- 
bet circulum in sphaera, cuius centrum erit punctum 
d, radius autem yd perpendicularis ad axem «/3 
[propterea quod etiam yd semper manet perpendicu- 
laris ad a/3]. Atque apparet puncta a /3 polos esse 
circuli qui descriptus est, quoniam a centro sphaerae 
perpendicularis ad circidum ducta et ad superficiem 
sphaerae producta est recta ady 2 ). Similiter demon- 
strabimus omnia reliqua in superficie sphaerae puncta, 
nisi quae in ipso axe sunt, circulos descriptura esse, 
qui perpendiculares erunt ad axem a/3 et eosdem ac 

FIGURAM secundum verba scriptoris delineavimus. In 
codicibus CE nihil comparet nisi dimidius circulus ccyfi cum 
diametro ct$ et perpendiculari yd; in A semicirculus est aper- 
tus, ccydfi notatus, intra quem haec leguntur: Gvvct^cpotsQO? 
(brevissime, nec satis perspicue scriptum) a x€ f/., tum o /xg 
ly v. iisigcov, denique dextrorsum, sed item intra semicirculum 
o (x <s fi- sXccggcov. Nulla exstat figura in codice B. 

1) Theodos. sphaer. 1, 1 (conf. G%6liov a). 

2) Idem 1, 8 (conf. cyoliov §\ 



6 



IIEPI 2$AIPA2. 



(y) 6cpaiQa. of de tieqI rovg avxovg Ttolovg ovreg iv 
Gcpaloa TtaodkkrjXoi, xvxXot Ei6i' Ttdvxa aoa xd i%\ xfjg 
i%tcpavuag xrjg Ccpaioag 6r]{iEia, o6a {ir) £6xtv i%\ xov 
a%ovog, xvxlovg yQaijjEt %aQaklr]kovg xovg avxovg %6- 
kovg £%ovxag xrj 6(paioa xa\ £Xi boftovg %Qog xov 5 
a\ova. 

/3'. 'Edv 6cpaiQa 6XQ£cpr\xat 6{ialcog %eq\ xbv iav- 
xrjg d%ova, itdvxa xd i%\ xrjg i%tcpavsiag xrjg 6cpaiQag 
6r}[i£ia iv xco l'6cp %Qovcp xdg opoiag 7t£Qicp£Qelag dt- 
£%£Q%£xat xcov 7taQalXr]lcov xvxlcov xa& cbv cpEQSxat. 10 

UcpatQa yaQ 6TQEcp£6&co 6{iaXcog %eq\ xbv iavxrjg 
d%ova xbv AB, %6lot dh xrjg 
6cpatQag £6xco6av xd A B 6r\- 
[i£ia, xa\ Etkrjcp&co xtvd 6r\- 
[i£ia i%\ xrjg i%tcpav£iag xrjg 
6cpaiQag xd T A' Xiyco oxt xd 
T z/ 6r]{i£ia iv xcp i6co %q6vco 
xdg 6[ioiag 7t£Qtcp£Q£iag dt£%- 
£Q%£xat xcov 7taQaXXr]lcov xv- 
xkcov xa& cov CpEQEXat. 

(S) "E6xco6av yaQ %aQalXr\lot Jct^Aot xa& cbv cpSQE- 

xat xd T /1 6rj{i£ia ot TE z/Z, xa\ ix(}E()Xr]6&co xb 
dtd xrjg AB xa\ xov T i%i%s8ov' %otr\6st dr) xo[ir)v 
iv xfi 6cpatQa xvxlov. s6xco 8s avxov r\\itxvxXtov xb 




15 



fi /?' 



20 



ATB' r)xot dr) iXsv6sxat xal dtd xov z/ i] ov. 



25 



(y) Jid xov $' xov fi' xcov 6cpuioiv.cov. 
(8) Aid xov cc' xovxov xov fiifiXCov. 



FIGURA similis exstat in codicibus ABCE; sed semicir- 
culus ctsfi partim circulum ccydfi excedit, et deest alter semi- 
circulus arjfj", et litterae d £ r t paulo aliter dispositae sunt. 



DE SPHAERA PROPOS. 2. 7 

sphaera polos habebunt. Atqui circuli iu sphaera, 
quicumque eosdeui polos habent, sibi paralleli sunt 1 ); 
ergo ouinia in superficie sphaerae puncta, nisi quae 
in ipso axe sunt, parallelos circulos describent, qui 
eosdem polos ac sphaera habebunt et perpendiculares 
ad axem erunt. 

II. Si sphaera aequabiliter circa axeni suum con- 2 
vertitur, omnia in superficie sphaerae puncta aequali 
tempore similes arcus circulorum parallelorum, per 
quos feruntur, percurrunt 2 ). 

Sphaera enim aequabiliter circa axem suum «/3 
convertatur, et poli sphaerae sint puncta a /3, et su- 
mantur puncta quaedam in superficie sphaerae y dj 
dico puncta y d aequali tempore similes arcus circu- 
lorum parallelorum, per quos feruntur, percurrere. 

Siut enim paralleli circuli, per quos puncta y d 
feruntur 3 ), ys d£, et producatur planum quod per 
rectam a/3 et punctum y transit; hoc igitur sphaeram 
secans circulum efficiet 4 ). Sit eius circidi semicircu- 
lus «7/3; hic igitnr aut per d" transibit aut non. 

1) Theodos. spbaer. 2, 2 (conf. c%6liov y). 

2) Hanc propositionem citat Pappus collect. 6 p. 612, 15; 
eandem repetit (non norninato auctore aut libro) Euclides 
phaen. p. 562 init. ed. Gregor. (conf. Heiberg. Stud. Eucl. p. 42). 
Maurolycus fol. 61 v adnotat: f Nam si duo puncta sint in eo- 
dem parallelo. Constat propositum per assumptam in prin- 
cipio petitionem. Si autem in diversis parallelis, constabit 
propositum adducta 15 a secundi sphaericorum Theod.' In his, 
quae decimaquinta citatur, est potius decima propositio se- 
cundi sphaericorum libri (conf. supra p. 3 adn.). 

3) Primam huius libri propositionem citat scholiasta 
Graecus. 

4) Theodos. sphaer. 1,1. 



8 



IIEPI S^AIPAS. 



'Eq%86&co tcqot8qov xu\ 86tco xo ATAB, xu\ iv 
xfi TCSQccpoQU vrjg 6cpuLQug \i8TuxsxLvr\6d-co xb ATAB 

(*) t)\llxvxXlov^ xu\ i%hco &s6lv cog tr\v AEZB. STtel iv 
6cpulQU TCUQuXXrjXoc xvxXol sl6lv ol TE AZ, xa\ dicc 
tcov tcoXcov avTcov \iiyL6T0L xvxXol ysyQu\i\isvoL sl6lv 
ol ATAB AEZB, 6\jlolu uqu icrlv r) TE TCSQLcpiQSLu 
vfi AZ TCSQLCpsQsCa' liyco ovv otl iv l'6co iqovco TO T 
6r]\islov ijcl to E TtuQuyCyvsxuL xal t6 A iicl r6 Z. 

Mr) yuQ, ccXX' sl dvvuTov, iv i'6cp %qovco to \isv 
T 6rj\istov iicl to E 6r]\islov TCUQuycyv s6&co to ds A 
iicl to H' 6TQScpo\iivr\g uqu Trjg 6cpuCQug, otuv to T 
iicl tq E 7CaQayevr]TaL, xal to A iicl to H, xal to 

(?) ATAB r\\LLXvxlLov $s6lv s%sl cog tt\v AEHB ' . xal 
iicel \iiyL6T6g i6TLv sxuTSQog tcov AEZB AEHB' 
xvxXcov, r) uqu utco tov A itil to B' iTCL%svyvv\Livr\ 
sv&slu dLCc\i8TQog i6TL Trjg 6cpaCQug. uXXcc xa\ r) AB, 

07CSQ UT07COV OVX UQU iv l'6CO %QOVCO TO T 6Y]\16L0V 

inl to E TCUQuyCyvsTac xal to 
z/ ijcl to H. 6\ioCcog dr) dsC- 
%o\isv otl ovds iic uXXo tl 
7cXr)v i%\ to Z 6rj\i6L0v. 

Mr) iQ%e6d-co dr) to r)\iLxv- 
xXlov to diu tcov ATB Olu tou 
z/ ? ccXXcc Slu tov (9, chg s%el i%\ 
Tr\g devT^Qug xuTuyQUcpijg, xu\ 
86TCO 7CUQuXXr\Xog xvxXog xu& ov 



10 



15 




20 



25 



(s) diu XO l XOV |3' XCOV 6CpCtlQLY.COV. 

(s) Aia xov iu' xov a' xcov 6cpctiQiv.cov. 



FIGURAM secundum verba scriptoris delineavimus. In 
codicibus ABC est circulus «yO^e, ultra quem protendi- 



DE SPHAERA PROPOS. 2. 9 

Transeat printuni, et sit semicirculus aydfl, qui 
in conversione sphaerae simul nioveatur et positionem 
as0 occupet. Quia in sphaera sunt paralleli circuli 
ys dt,, et per polos eorum maximi circuli aydp as£ji 
descripti sunt, arcus igitur ys arcui d£ similis est 1 ); 
dico igitur aequali tempore punctum y ad s ac d ad 
g pervenire. 

Etiamsi non est, tamen, si fieri possit, aequali 
tempore punctum y ad punctum s ac d ad r\ perve- 
niat; in conversione igitur sphaerae, cum y ad s per- 
venerit, etiam d ad r\ accedet, et semicirculus aydfi 
fere positionem asrjfl' habebit. Et quia uterque cir- 
culorum as^fi asr\(> f maximus est, recta igitur ab a 
ad /3' iuncta diametrus sphaerae est 2 ). Sed etiam afi 
diametrus est, id quod absurdum; non igitur aequali 
tempore punctum y ad s ac d ad r\ pervenit. Similiter 
demonstrabimus panctum d ad nullum aliud punctum 
praeter £ pervenire posse. 

Iam semicirculus ayfi non per 8, sed per & 
transeat, ut est in altera figura, et sit parallelus cir- 

tur #<9", pars circumferentiae d&rjg (in B omissuni est rj). Ea- 
dem figura reperitur in E, sed litterae d et -9- inter se com- 
mutatae sunt. 

1) Theodos. sphaer. 2, 10 (conf. g%6Uov e). 

2) Patet id manifeste: cum enim usgfi et ccstjP' maximi 
circuli sint, per sphaerae siquidem centrum et polos ducuntur, 
secabunt se mutuo bifariam necessario, ut patet ex 11. Theod. 
1. Sphaer. Quodsi coniunxerimus puncta, in quibus se circuli 
bifariam mutuo secant, erit illa omnino recta linea: nam (per 
3. nndecimi Euclid. elementorum) duorum planorum communis 
sectio est recta linea: quare recta linea ex puncto a ad 
punctum 3' coniuncta circulorum erit et sphaerae diametrus. 
SCHOLIUM ANTIQUUM apud Auriam p. 27, nisi quod ABFE 
et ABGE habet pro as£B et asr}8\ atque punctum E pro 
punctum §'. 



10 nEPI 2$A1PA2. 

tpsQsrat rb A 6r]<istov 6 A®Z, xal xsCtf&co rfj TE 
(£) bfioCa r) AH. aXl' r) TE TtsQtcpsQEta rfi ®Z TtSQttps- 
QsCa s6rlv b^ioCa' xal r) AH aQa rfj ©Z s6rlv bfioCa. 
(rj) xal Si6lv rov avrov xvxlov' forj aQa s6rlv fj AH 
(%) TtsQicpSQSia rfi &Z TtsQtcpEQsCa' sv i'6<p aQa %QOv<p ro 5 
A STtl rb H TtaQayCyvsrat xal rb siti rb Z. sv o6<p 
ds %qovco rb @ STtl rb Z TtaQayCyvsrat , xal rb T sitl 
rb E' sv i'6co aQa %qovco rb T STtl rb E TtaQayCyvsrat 
xal rb A siti rb H. 
(t) y' . ^Edv 6cpatQa 6rQscpr]rat b^taXojg Ttsol rbv sav- 10 

rfjg a%ova, dg sv i'6<p %QOv<p TtSQtcpsQsCag dts%SQ%srat 
6r]<jtstd rtva rcov 7taQalkf]Xcov xvxkcov xa& cov cpSQS- 
rca, avrat opoiaC st6tv. 

"E6rco 6cpalQa r)g d%cov b AB, itbXot ds rd A B 

6r]ixsla^ xal Eilfjcp&co rtvd 6r]{iEta sitl rijg STttcpavsCag 15 

rf)g 6cpaCQag rd T A , xal s6rco6av 7taQaXlr]kot xvxlot 

xa& co v cpsQsrat rd T A 6r]\xsta ol TE z/Z, xal sv 

i'6<p %Qov<p rb T 6y]{LEiov rr)v TE itSQtcpsQEtav dtaito- 

(icc) QSVS6&C0 xal rb A 6r]\istov rr)v AZ 7tsQtcpEQEtav ksyco 

ort b[ioCa s6rlv f] TE TtSQtcpsQEta rf] AZ TtsQtcpSQsCa. 20 

Et yaQ {ir) s6rtv bpoCa r) TE TtEQtcpsQEta rf] AZ, 

(l§) s6rco bpoCa r) TE ry AH' sv i'6<p aQa %QOV<p rb T 

6r]ixstov rr)v TE TtsQtcpSQStav dtaTtOQEvsrat xa\ rb A 

rr)v AH. dlkd xal sv i'6<p %q6vco rb T rr)v TE dta- 



(£) Aiu xb i xov (3' xcov ocpuLQiv.mv. 25 

(rf) Aloxl al iv xco avxco vvv.Xco tcsqlcpsqsiul ouolul 1'gul eloi. 
(<&•) dia xb bfiaXcog Y.iv£iG&ai xa ircl xov avrov v.vvXov gi\- 
fista. 

(l) 'AvXLGXQOCfOV. 

(ta) Aid xbv (3' oqov cvvdyExai %al did xb $' . 30 

* (t(3) Slg diu xov 7zqo xovvov UTtsdELX&rj. 



DE SPHAERA PROPOS. 3. 



11 



Prop . 



culus d#£, per queru punctum d fertur, et arcui ys 
similis ponatur ipse drj. Sed arcus ys ipsi &1 similis 
est; itaque etiam drj ipsi ftt, similis est. Et sunt 
eiusdem circuli; ergo drj ipsi #£ aequalis est 1 ); aequali 
igitur tempore d ad r\ ac # ad £ perveniunt 2 ). Sed 
quo tempore & ad £, eodem y ad s pervenit; aequali 
igitur tempore y ad s ac d ad r\ perveniunt. 

III. Si sphaera aequabiliter circa axem suum ver- 3 
titur, arcus circulorum parallelorum, quos aequali 
tempore puncta quaedam per eos circulos percurrunt, 
inter se similes sunt 3 ). 

Sit sphaera cuius axis a/3, poli autem puncta a 

/3, et sumantur puncta quae- 

dam y d in superficie sphaerae, 

et paralleli circuli, per quae 

puncta y d feruntur, sint ys 

d£, et aequali tempore punctum 

y arcum ys ac punctum d ar- 

cum d£ percurrat; dico arcum 

ys arcui d£ similem esse. 

Si enim arcus ys non similis est ipsi d£, sit ys si- 

milis ipsi di^; aequali igitur tempore punctum y arcum 

ys et d ipsum drj percurrunt. Sed aequali tempore 




1) Hoc, nisi me fallit, scriptor ea fere ratione demonstrari 
voluit, quam posteriores inire potuerunt secundum Euclidis 
elem. 6, 33 et 3, 28. Et conf. 6%6%iov r\. 

2) Propter secundam definitionem huius (conf. a%6Xiov &). 

3) Conf. Pappum collect. 6 p. 628 sq. Conversam nanc esse 
propositionem ex ea quae praecedit et converso modo demon- 
strari adnotat Maurolycus fol. 61 v . Et conf. c%6lia 1 — 1/3. 

FIGURA longe alia exstat in codicibus ABCE, ubi rectam 
a§ secant duae circumferentiae fere parallelae ys drjt; (in AB 
omissum est rf), circulus autem nullus compavet. 



12 IIEPI 23>AIPA2. 

7tOQ£V£t(U XCcl ZO z/ ZYjV AZ, % £V L6Cp aQCC XQOVCO TO 

A zr)v zJZ 8iaitoq£V£xai xccl zb A zr)v <4H. xal £i6lv 
zov avzov xvxXov' l6r\ dqa i6zlv r) AH zf) z/Z ? r) 
iXa66cov zfj {i£L%ovi, 07t£q i6zlv ddvvazov' ovx aqa 
bytoCa i6z\v r) TE zfj AH. 6\ioCcog dr) d£L%o[i£v ozi 5 
ovd£ dXXrj ziv\ 7tXr)v zfj AZ' baoCa aqa i6zlv i) TE 
7t£qicp£q£ia zf) AZ. 
iiy) d'. 'Eav iv 6cpaCqa \iivcov \niyt6zog xvxXog Ttqbg 

oqd-ccg cov zcp d%ovt bqC^r] zb Z£ dcpavlg xa\ zb cpav£- 
qbv r)\ii6cpaCqiov zrjg 6cpaCqag, 6zq£cpo\iivrjg zrjg 6cpaC- 10 
qag 7t£q\ zbv iavzrjg a£ova ovdlv zcov inl zrjg ijttcpa- 
vuag zr)g 6cpaCqag 6rjU£Ccov ovt£ dv6£zat ovz£ dvaz£- 
Aer, dXXd zd \ilv iv zcp cpav£qcp r){ii6cpaiqCcp aUC i6zi 
cpav£qd, zd d£ iv zcp dcpav£i aUC i6ziv dcpavrj. 

'Ev yaq 6cpaCqa uivcov (\iiyi6zog) xvxXog 6 AB 15 
Ttqlg oqd-ag cov zcp a%ovt bqit,izco 
zb Z£ cpav£qbv zrjg 6cpaCqag xa\ zb 
dcpavig' Xiyco bzt 6zq£cpo\iivrjg zrjg 
6cpaCqag 7t£ql zbv iavzrjg d%ova ov- 

o\v xcov inl xrjg iTticpavuag zrjg 20 

6cpaCqag 6r\\i£Ccov ovx£ dv6£zat ovx£ 
dvaz£k£i. 




(ty) "O S6TLV inl xrjg [ivXoELdovg Y,Lvrj6£cog' xoxe yao y.cc\ 6 
forjfiEQivog 6ql£cov ycvExcci, v.ccl V| LLryvcov r) r)[i£Qcc yccl t £ firjvcov 
r) vv£. 25 

1) Sic enim suppositum est. 

PROPOS. 4 : Pappus collect. 6 cap. 34 (p. 520). Ad ean- 
dem Maurolycus fol. 61 v aduotat: f Nam talis circulus maneus 
est communis limes talium hemisphaeriorum, et per primam 
huius, puncta singula suos seorsum parallelos semper in alter- 
utro hemisphaeriorum describent.' Praeterea haec scholia an- 
tiqua duo affert Auria p. 27 sq.: f Schol. 1. Quod proponit Au- 



DE SPHAERA PEOPOS. 4. 13 

etiaru punctum y ipsum ys et d ipsum d£ pereurrunt *) ; 
ergo punctum 8 aequali tempore et d£ et drj per- 
currit. Et arcns sunt eiusdem circuli; ergo drj ipsi 
d£, minor niaiori, aequalis est, id quod fieri non 
potest; ergo ys non similis est ipsi drj. Similiter de- 
monstrabimus nullum alium praeter d£ similem esse; 
ergo arcus ys ipsi d£ similis est. 

IV. Si in sphaera maximus circulus rnanens, per- 4 
pendicularis ad axem, distinguet occultum et conspi- 
cuum heniisphaeriuni, et sphaera circa suum axem 
convertetur, nullum eorum quae sunt in superficie 
sphaerae punctorum neque occidet neque orietur, sed 
ea quae sunt in conspicuo hemisphaerio semper con- 
spicua sunt/ et quae in occulto semper occulta. 

In sphaera enim maximus circulus manens afi, 
perpendicularis ad axem ; distinguat conspicuam sphae- 
rae parteni et occultam; dico, si sphaera circa axem 
suum convertetur, nullum eorum quae sunt in super- 
ficie sphaerae punctorum neque occasurum esse neque 
oriturum. 

tolycus, in motu sphaerae rotundo accidit, videlicet ubi circulus 
Aequinoctialis est Horizon: tunc enim cuncta astra per circu- 
los ipsi aequinoctiali parallelos feruntnr: et sex mensibus dies 
continuus est, et sex iterum mensibus perpetua nox. — Schol. 2. 
Idem, quod Autolycus, ostendit etiam Theodosius propositione 
1. libri de habitationibus: Hoc auiem accidit iis, qui sub Polo 
degunt: Lege quae in 1. Theod. de habitationibus sunt anno- 
tata: huc etenim spectant: Vide etiam et Decimam eiusdem 
Theod. in eodem libro de Habitationibus.' Ad Auriae Schol. 1 
conf. Graecum ly. Quo sensu ab Autolyco (isvcov nvyiXog dictus 
sit, pluribus exponit Th. H. Martin in Bevue critique, 1877, 
premier semestre, p. 414 (conf. indicem nostrum s. v.). 

FIGURA diversa est in codicibus ABCE, duo scilicet cir- 
culi circa unum centrum descripti, quorum maior a|3, minor 
yS notatus est. 




14 nEPI 23>AIPA£. 

ECXr\cpd-co yttQ zi 6r\\i£L0v i%\ trjg iitLcpav^Cag trjg 

GyaCoag tb F, xa\ £6tco [7taQaXXr\Xog] xvxXog xa& ov 

(td) cpeQStai tb T 6r\\i£lov 6 TA' 6 TA ccQa xvxXog JtQog 

(ts) OQ&dg £6tuv tco a^ovi. dXXa xa\ 6 AB' 7taQaXXr]Xog 

aQa i6tlv b TA xvxXog tcp AB xvxXcp. £l aQa roT5 

6r\\L£lov dv6£taL r\ dvat£X£l, 6v\ij5aX£L b TA xvxXog 

(t?)tcp AB oQC^ovtL, 0Jt£Q £6tlv cctoitov' £6tLV yaQ avtcp 

7taQaXXr\Xog' ovx aQa to T 6r\\i£L0v 

dv6£tai 7] dvat£l£L. b\ioCcog dr) d^C- f X « 

%o\i£v otL xa\ Ttdvta td i%\ trjg /^ — I — ~~"^\ 10 

• , » <A— H^ 

£%Lcpavuag tr\g 6cpaLQag 6r\\i£La ot>T£ 

dv6£taL ovt£ dvat£l£t, dXXd td \ihv 

iv tco cpav£Qcp dLa itavtog £6ttv iv 

tco cpav£Qcp, td o\ iv tcp dcpav£t d^a Ttavtbg £6tLV iv 

tcp dcpav£L. 15 

(t£) £. 'Eav $La tcov TtbXcov trjg 6cpaC^ag xvxXog \i£- 

vcov oQCtfi to' t£ cpav£Qov xa\ tb dcpavig, Ttdvta ta 

iiti trjg iiticpav^Cag trjg 6cpaC^ag 6r\\i£la 6tQ£cpo\iivr\g 

avtrjg xa\ dv6£taL xa\ dvat£X£l xa\ tbv l'6ov %qovov 

v7t£Q t£ tbv OQLllovta iv£ypr\6£taL xa\ vitb tbv IqC- 20 

lovta. 

ALa yaQ tcov itbXcov trjg 6cpaCQag xvxXog \iivcov 

o ABT oQL&tco to t£ cpav£QOV trjg 6cpaC^ag xa\ to 

dcpavig' Xiyco otL 6tQ£cpo\iivr\g trjg 6cpaC^ag iv trj 

7t£QLcpoQa Ttdvta ta i%\ trjg i%Lcpav£Cag trjg 6cpaC^ag 25 

6r\\i£la xa\ dvv£L xa\ dvatiXX£L. 

(td) zita xov a' xovxov. 
(ls) zltcc xov tS' xov ta' EvnlsCdov. 
(t$) Oi* yaQ nccQCiXXrjlot ov ovinninxovatv. 

(i£) "O sattv sni xr\g OQ&rig otpaCQuq' xoxs yccQ xal 6 OQt£cov 30 
dia xcov noXcov soxi xr^q 6cpatQag xal dsi torjfiSQta. 

1) Autol. propos. 1 huius (conf. o%6Xiov td). 



DE SPHAERA PROPOS. 5. 15 

Sumatur enim punctum quoddam in superficie 
sphaerae y, et circulus, per quem punctum y fertur, 
sit yd; ergo circulus yd perpendicularis est ad axem 1 ). 
Verum etiam circulus a/3; ergo circulus yd ipsi ap 
parallelus est 2 ). Si igitur punctum y aut occidet aut 
orietur, circulus yd continget horizontem «/3, id quod 
absurdum est (nam eidem parallelus est); ergo punc- . 
tum y neque occidet neque orietur. Similiter demon- 
strabimus omnia reliqua in superficie sphaerae puncta 
neque occasura esse neque oritura, sed ea quae in 
conspicuo sunt semper esse conspicua, et quae in oc- 
culto semper esse occulta. 

Prop. 

Y. Si circulus per polos sphaerae transiens et 5 
manens distinguet conspicuum et occultum, omnia in 
superficie sphaerae puncta, dum ipsa vertetur, et oc- 
cident et orientur et aequale tempus super horizontem 
ac sub horizonte ferentur. 

Per polos enim sphaerae circulus manens cc(3y 
distinguat conspicuam sphaerae partem et occultam; 
dico, si sphaera convertatur, in conversione omnia in 
superficie sphaerae puncta et occidere et oriri. 

2) Eucl. elem. 11, 14 (conf. g%6Xlov ls). 

PROPOS. 5: Pappus collect. 6 cap. 35 (p. 520). Ad eandem 
Maurolycus fol. 61 v adnotat: f Nam talis circulus manens, per 
20 m [lege 15 m ] primi sphaericorum Theodosii, secat per aequalia 
singulos parallelos, hoc est in semicirculos. Quare per 2 m 
huius, per aequale tempus punctorum unumquodque feretur 
utrinque a circulo secante.' Accedunt duo scholia apud Auriam 
p. 28: c Schol. 1. Hoc evenit iis, qui sphaeram rectam incolunt: 
tunc etenim Horizon per sphaerae polos est ductus, secatque 
circulnm Aequinoctialem , et omnes ipsi parallelos circulos in 
partes aequales: et semper aequinoctium est. (Lege praeterea, 
quae in 5. partem prop. 2. Euclid. Phaenomenujn sunt adno- 
tata.) — Schol. 2. Idem ostendit Theod. prop. 2 lib. de Habi- 
tationib. Hoc autem illis accidit, qui degunt sub aequinoctiali. 



16 nEPI 23>AIPA2. 

"E6rco yug xi <yrj[i£lov iitl rrjg iitLcpavuag rrjg 
6cpaC^ag rb z/, xal £6rco 7taQaXlr]kog xvxlog xa& ov 

(ir)) cpEQerai rb z/ 6r][i£tov 6 BzJTE' iv rfj aQa 7t£QiopoQa 
rrjg 6cpacQag rb A 6r][i£tov, orav [ihv xard rb T yi- 

{i%)vr\rai, dvariXA^L, orav o\ xara rb B, 8vv£L. xal iitd 5 
6 ABT xvxXog rbv BzlTE xvxlov dca rcov Ttolcov 
ri{iv£L, dC%a r£ avrbv T£[i£t (xal TtQog OQ&dgy' r)[it- 
xvxIlov aQa i6rlv £xdr£Qov tcov BET B/JT' rb z/ 
aQa 6r}(JL£iov atd xard rcc avra 6r][i£ta tov ABT xv- 
xlov xa\ dv6£rat xal dvar^Xu „ 10 

xal rbv l6ov %qovov vtcIq rbv X/ 

OQCt,ovra iv£%d"r]6£raL xal VTtb rbv A#'' r> 
OQC^ovra. b^oCcog dr) dd^o^v otl /C/ 
xal Ttdvra rd inl rrjg iittcpavUag i \ ( 
rrjg 6cpaCQag 6r][i£ta xal dv6£raL \ . Jllf 15 

xal dvar£k£l xal rbv l'6ov %qovov \\ 
v7tiQ T£ rbv oQCt,ovra iv£%$r]6£- 
raL xal vitb rbv oQC^ovra. 

(*) $'. 'Edv iv 6cpaCQa {iiyL6rog xvxlog {livcov oqC^t] 

to T£ cpav£Qov rrjg 6cpaC^ag xal rb dcpavhg lo^bg cov 20 
TtQog rbv a%ova, icpd^£Tat dvo xvxlcov l6cov T£ xal 
7taQallr]Xcov uXlr]koLg, xal rovrcov 6 [ilv TtQog rco 
<pav£Qco itoXcp atsl £6raL cpav£Qog, 6 $£ TtQog rco dcpa- 
V£l ai£i d<pavr)g. 



(ir\) El ydg 6 EBdT y.v-nXog noog OQ&dg sgzl zcb u£ovl 
8lu zb u , 6 ds TBA snl zrjg suvzov snLCpuvsiug s%si zbv u^ovu, 
dr)Xov oxi b EBJT Kvnlog zspvsL zbv BAT, coazs, y.aQ-6 sgtlv 
tj zo[irj, %uzd zb T dvcczsllsi v.ui ttuzd zb szsqov zr)g zoprjg, 
zb B, dvvsc. 

(l&) diu zov ls' zov a zcov GcpULQiyieov. 
(x) "O sgzlv stcl zr\g %u& rjpccg ot-nrjGscog, ozav b nolog 
zrjg Gcpaioug {irjzs snl zov OQi&vzog 77 (irjzs nuzd HOQvcprjv. 



DE SPHAERA PROPOS. 6. 17 

Sit enira punctum quoddam in superficie sphaerae 
d, et sit circulus parallelus, per quem punctum d fer- 
tur, fldye, ergo in conversione sphaerae punctum d ; 
si ad y pervenerit, oritur, sin vero ad /3 ; occidit 1 ). Et 
quia circulus ccjly circulum fidye per polos secat, se- 
cabit eum et bifariam et ad rectos angulos 2 ); ergo 
semicirculi sunt fiey /3(fy; itaque punctum.d semper 
in iisdem punctis circuli ocfiy et occidet et orietur 
et aequale tempus super horizontem ac sub horizonte 
feretur. Similiter demonstrabimus omnia reliqua in 
superficie sphaerae puncta item et occasura et oritura 
esse et aequale tempus super horizontem ac sub ho- 
rizonte latum iri. 

VI. Si in sphaera maximus circulus inanens, ob- 6 
liquus ad axern, distinguet conspicuam sphaerae par- 
tem et occultarn, tanget duos circulos aequales inter 
se et parallelos 3 ), quorum alter, conspicuo polo pro- 
pinquus, semper erit conspicuus, alter autem, occulto 
polo propinquus ; semper occultus. 



Lege, quae sunt annotata in 2. Theod. de Ha- 
bitationibus : Etenim huius loci sunt.' Ad 
Auriae Schol. 1 conf. Graecum i£, et de circulo 
qui fievcov dicitur Martin. 1. c. 

FIGURAM nostra coniectura delineavimus 
pro hac quae exstat in codicibus ABCE: 

1) Conf. 6%6liov i7). 

2) Theodos. sphaer. 1, 15 (conf. 6%6X. i&). 

PROPOS. 6: Pappus collect. 6 cap. 36 (p. 520), Marti- 
nus 1. c. 

3) Constat hoc manifeste per 10 m [lege 8 m ] secundi sphae 
ricorum Theodosii. MAUROLYCUS. 

Autolycus. 2 




18 nEPI 2$AIPAS. 

'Ev yccQ 6cpatQa \iivcov {iiyt6Tog xvxXog 6 ABT 
Xo%6g cov 7to6g xbv u£ovct oqi&tco to ts cpavsQov Trjg 
6cpatQag xal to dcpavig ' Xiyco oti 6 ABT xvxXog 
scpdipSTat dvo xvxXcov l6cov ts xal TtaQaXXrjXcov aXXr\- 
Xotg, xal tovtcov 6 [isv itQog tco cpavsQco tcoXco alsl 5 
s6Tat cpavsQog, 6 ds JtQog tco dcpavsl aisl s6Tat dcpavr\g. 
"E6tco yaQ 6 itoXog Trjg 6cpatQag 6 cpavsQog 6 z/, 
xal did rov A xal tcov tov ABV xvxXov itoXcov \ii- 
yi6Tog xvxXog ysyQacp&co 6 AAE, xal xsi6&co rfj AA 
TtSQicpsQsia i67\ t\ TE, xal TtoXcp tco A dta6T7][iaTi ds 10 
tco AA xvxXog ysyQacp&co 6 AZH, itoXco ds tco E 
8ia6T7\iiaTt ds tco Er xvxXog ysyQacp&co 6 r®K' 

(*ta) cpavsQOV Stj otc 6 AZH xvxXog tco r&K xvxXcp i'6og 
ts xal %aQaXX7]X6g i6Ttv xal sTt 6 ABT ^v^Aog tcov 

(h§) AZH r®K xvxXcov scpditTSTat % Xiyco dr) ort xal 6 15 



(xa) Aicc xov §' kccl y' xov $' xcov ccpcuQincov. 

(%(3) 'Ensl yag t6r\ S6xlv r) AA xfj TE, %olvj\ nQ06v.si6&co 
r) AT '• oXr\ ccqcc r) AdT oXrj xf\ ATE i6r\ S6xiv. r)(iL%vy.Xiov 
ds r) A/JT' r)[UKVY,liov ccqcc kccl r) dTE' xara SidfisxQOv kqcc 
S6xl xb z/ xa> E. %ccl s6xl xo A noXog xov AHZ ' y.ccl xb E 20 
aQcc noXog xov ccvxov ' %ccxu dtdfisxQov yccQ oi noXoL, cog s% 
7tOQi6LLccxog sv xcp cc' . nccXiv snsl xo E noXog xov T®K, kccxcc 
8lcc(isxqov ds xop E xo d , xal xo A ccqoc itoXog S6x\ xov T@K. 
ol ds nsQL xovg ccvxovg ovxsg noXovg nccQccXXrjXoL. i'60L 8s, 
insidrj cci s% xcov noXcov al AA TE l6ocl siei. tlccl snsl dvo 25 
kvkXol ol ABT AZH (isyi6rov XLvbg %v%Xov nsQicpsQSiccv xr)v 
A/JTE ■Kccxd xb ccvxb 6Y]llslov xs(ivov6t, xovg noXovg s%ovxsg 
sn ccvxov, scpccipovxccL dXXr)Xcov ol %v%Xol. 



FIGURA, quam codice3 ABCE exhibent, similiter ac prior 
(p. 17 adnot.) quodammodo in planum explicata est^ Comparet 
enim maior circulus ccXfiy , in quem inscriptus est minor ccgrj, 
cuius centrum 8 esse unus quidem codex E significat. Maioris 
autem circuli diametrus ccy ultra y acl s pertinet, et ductus 
est semicirculus ccr\s item ultra circulum ccXfiy. Denique circa 
centrum s descriptus est minor circulus y&K. 



DE SPHAERA PROPOS. 6. 



19 




In sphaera enim manens circulus maximus a(5y, 

obliquus ad axem, 
distinguat conspicuam 
sphaerae partem et oc- 
cultam; dico circulum 
afly tacturum esse duos 
circulos aequales inter 
se et parallelos, quo- 
rum alter, conspicuo 
polo propinquus, sem- 
per conspicuus erit ; al- 
ter autem, occulto polo 
propinquus, semper erit occultus. 

Sit enim conspicuus sphaerae polus d, et per d 
et circuli a($y polos describatur maximus circulus 
adys *), et arcus ys ponatur ipsi ad aequalis 2 ), et 
polo d intervalloque ad describatur circulus at^, polo 
autem s intervalloque sy describatur circulus y&x] 
apparet igitur circulum a£rj circulo y&x, aequalem et 
parallelum esse et circulum afiy circulos a^rj y&x 

1) Qua ratione talis circulus describatur, docet Theodosius 
sphaer. 1, 20. 

2) Scholio antiquo, quod est apud Auriam p. 29, primum 
supponitur rectas cty Ss se invicem secare, tum ex Eucl. elem. 
1, 15 rectas ad ye , ideoque etiam propter elem. 3 , 28 arcus 
ctd ys inter se aequales esse demonstratur. Attamen paulo 
aliter ipsius scriptoris sententia explicanda esse videtur. 
Quoniam enim maximorum circulorum a$y udy circumfe- 
rentiae ex constructione se secant in a, alterum sectionis 
punctum erit y, et circulorum plana se secabunt in recta ay. 
Iam a 8 ad dimidiam ay, id e3t ad centrum sphaerae (quod 
littera ft notemus), ducatur recta ayu eaque producatur ad s, 
et ponatur [ts = [id. Ergo punctum s erit in superficie 
sphaerae. Iam facile demonstratur rectam sy aequalem esse 
rectae Sa, itaque etiam arcum sy arcui dct. 

2* 



20 



IIEPI 2$AIPAS. 



{isv AZH KVKXog alsi s6tl cpavsQog, 6 ds T®K alsC 

s6tlv acpavr\g. 

El yaQ {ifj s6tlv 6 AZH KvKXog alsl cpavsQog sv 

tfi TtSQLCpOQa rrjg 6cpaCQag, 6 AZH KVKXog 6v[if5aXst 

rco ABr 6ql%ovtl. 6v\i^aXXsT03 Karcc rb A 6r\{istov, 5 
(Ky)xal STts^svyfi&Gav al AA AA AT. sitsl sv GcpaiQa 

[isyLGrog xvxkog 6 AAT kvkXov tlvcc toov sv rf) 

acpaLQa rbv ABT 6lcc tqjv TtbXoov ts^lvsl, dC%a rs 

avrbv ts^isl Kal TtQog oQ&dg' dLa[iSTQog aQa s6tlv r) 

AT rov ABT kvkXov. kccI 6 AAT KVKXog 0Q&6g 10 

s(jti itQog rbv ABT 

kvkXov' kvkXov dr) tl- 

vog ro£ ABT sitl 8ta- 

{jlstqov Tr\g AT r^ij^ia 

kvxXov ooOw sops6rr\- 

ksv to AAT, Kal r\ 

rot) scpsOToorog T\Lr\\ia- 

ro^ TtsQLcpsQSLa stg av- 

L6a TsyLvsraL Karcc ro 
(%8) A , Kal sGtlv sXa66ojv 

r) AA (tovto yctQ cpa- 
(y.s)vsqov)' r) aQa AA 

sv&sla sXa%C6rr\ s6rl 7ta6oov tqjv cc7tb rot> A TtQog rbv 

ABT KVKXOV 7tQ067tL7tTOV603V SV&SLQJV QJ6TS sXa66G)V 

(■*$) s6rlv r) AA sv&sla rr\g AA sv&sCag. dXXcc Kal l'6r\ 25 
(TtoXog yaQ s6tlv ro A 6r\\islov rov AZH kvkXov\ 




(v.y) z/ta zov is' rov u' rcov 6cpuiQiY.cov . 

(v.8) 'Eizsidr] 6 AHZ scpunrsrai rov AAT- 8ib ov \Lsyi6zo$' 
oo6zs r) iv. rov noXov avzov r) 4A ilu66cov zszuqzrjfiOQiov • 8lo 
r) di%ozoybia zov AT 7][ilhvy.%l'ov ovv. s6zl zb z/. 30 

(hs) Aiu rov a' rov y' rcov 6cpuLQLY.cov. 

(x?) Aiu rov s' oqov rov u' roav 6cpuLQLY.oov. 



DE SPHAERA PROPOS. 6. 21 

tangere 1 ); iam dico circuluin a%y\ seniper conspicuuni 
et y&x semper occultum esse. 

Nam circulus affi, si in conversione sphaerae 
non semper conspicuus erit, horizontem afly secabit. 
Secet in puncto X, et iungantur rectae ad dX ay. 
Quoniam in sphaera maximus circulus ady alium in 
eadem sphaera circulum ajiy per polos secat, bifariam 
eum et ad rectos angulos secabit 2 ); ergo ay diame- 
trus est circuli ccfiy. Et circulus ady perpendicularis 
est ad circulum afiy\ circulo igitur afiy in diametro 
ay perpendiculare insistit segmentum ady, et circum- 
ferentia eius segmenti inaequaliter secatur in d, et 
minor est arcus a$ (hoc enim manifestum 3 ) ; ergo 
recta ad minima est omnium quae a d ad circulum 
afiy deducuntur *) ; itaque recta ad minor est quam 
dL Sed eadem etiam aequalis (nam punctum d polus 
est circuli a&i), id quod absurdum est; ergo in con- 

1) Scholio, quod Auria p. 29 sq. ex Graeco (vide g%6X. x/3) 
convertit, primum demonstratur rectam ds diametrum sphae- 
rae, ideoque puncta d s polos circuli yd-x, et propter Theodos. 
sphaer. 2, 2 (vide g%61. x«) eirculos u&i y&x inter se paral- 
lelos esse. Sed eosdem etiam aequales, quia vectae ex polis 
ductae da sy aequales sint (supra p. 19 adn. 2). Et quoniam 
duo circuli ct@y et cc£rj maximi circuli ctdys circumferentiam 
in eodem secent puncto atque in eo ipso maximo circulo polos 
habeant, propter sphaer. 2,3 (vide g%61. x«) circulos u(iy <x£r] 
se mutuo in puncto cc tangere (itemque circulos ccfiy y&v. in 
puncto y). 

2) Theodos. sphaer. 1, 15 (conf. g%6Xlov xy). 

3) Quoniam vero circulus AFG [id est ct£rf\ tangit circu- 
lum ABC [id est ctfiy] in puncto A, ideo maximus circulus 
non est: quare recta linea DA, ex ipsius polo ducta, minor est 
quarta circuli [circumferentiae] parte, et propterea semicirculi 
AC bipartita sectio non est D punctum. Quare semicirculi 
AC pars minor est AD circumferentia. SCHOLIUM ANTI- 
QUUM apud Auriam p. 30, expressum e Graeco v,3. 

4) Theodos. sphaer. 3, 1 (conf. g%61lov v.s). 



22 



IIEPI 2$AIPA2. 



15 



OTtSQ droitov' sv aoa rrj itSQLCpoQa rrjg 6cpaCQag 6 AZH 
xvxlog ov 8v6sraL. b^ioCcog dr) dsC£,o[isv ort ovds 6 
T@K dvarsXsZ' 6 [isv AZH aQa xvxXog aisC s6uv 
cpavsQog, 6 ds T®K alsi stiriv acpavrjg. 

£'. 'Eav 6 oqC^cov sv rfj 6cpaCQa xvxXog rb rs cpa- 5 
vsqov rr\g GcpaiQag xal rb acpavsg Xo%bg r) TtQog rbv 
a%ova, oi rco a%ovi itQog OQftag ovrsg xvxXol xal ri{i- 

{%£)vovrsg rbv oQi^ovra xard ra avra Grjpsia aisl rov 
OQL^ovrog rdg rs dvaroXdg xal rdg dv6sLg TtotovvraL, srt 
ds xal bpoCcog sGovraL xsxXl^lsvol 7tQog rbv oQL^ovra. 10 

"E6rco sv GcpaLQtt zvTclog 
oql^cov ro rs cpavsQov rrjg 
GcpatQag xal rb dcpavsg 6 
ABAT Xotpg cov JtQog rbv 
d%ova^ ol ds rcp d%ovL %Qog 
OQ&dg bvrsg xvxXol s6rco- 
6av ol AB TA % Xsyco ort 
ol AB TA xvxXol xard 
rd avra 6r]\isZa aisl tov 
oQL^ovrog rdg rs avaroXdg 

xal rdg 6v6SLg TtotovvraL [xal dta psv rcov A B 6r\^xsCcov 
rdg dvaroXdg TtOLOvvraL, 8td ds rcov A T rdg dv6SLg]. 

(«i?) Mr) yaQ, dXX' sl dvvarov, 7tOLsC6&co 6 AB xvxXog 
6V aXXov rLvbg 6r}^isCov rr)v dvaroXrjv tov E 9 dLa ds 
rov A rr\v 6v6lv, xal s6rco 6 TtoXog rcov 7taQaXXr\Xcov 2 
xvxXcov rb Z 6rj{isZov, xal dtd rot» Z xal rmv rov 
ABAT xvxXov itbXcov \Lsyi6rog xvxXog ysyQacp&co 6 

("/£) TOVT86TL yLuQ'' U 7C0L0V6L 67JIIELCC OL 7CUQDcXXrjXoi TCQOq 
TOV OQL^OVTU. 

(■nrj) El yaQ b AB hvkXos tii uXXov 6r](isCov ty)v uvutoXt\v 30 
noir\6£i tov E, v.ul Sl' ccXXov tcuqcc ro A ty\v dv6iv, s68tccl %s- 

■X.XL[>L£VOS 71QOS TOV u£oVU TT}S 6(fULQUS , OTtSQ OV% V710Y.SLTUL. 




DE SPHAERA PROPOS. 7. 23 

versione sphaerae circulus a%r\ non occidet. Similiter 
denonstrabimus circulum y&x non oriturum esse: ergo 
circulus a%r\ semper conspicuus, circulus autem y%n 
semper occultus est. 

VII. Si horizon, id est circulus qui in sphaera 7 
coaspicuam sphaerae partem et occultam distinguit, 
obliquus ad axem sit, circuli qui ad axem perpendi- 
culares sunt et horizontem secant semper in iisdem 
horizontis punctis et oriuntur et occidunt iidemque 
similiter inclinati erunt ad horizontem. 

Sit in sphaera circulus conspicuam sphaerae par- 
tem et occultam distinguens afidy obliquus ad axein, 
circuli autem ad axem perpendiculares sint a/3 yd] 
dico circulos a/3 yd semper in iisdem horizontis punc- 
tis et oriri et occidere [et oriri eos quidem in punc- 
tis /3 d, occidere autem in a y\ 

Etiamsi non est, tamen, si fieri possit, circulus 
«/3 in alio puncto, velut e, oriatur et in puncto a oc- 
cidat, et polus circulorum parallelorum sit punctum %, 
et per g et polos circuli ajidy maximus circulus de- 



PROPOS. 7: Pappus collect. 6 cap. 38 (p. 520—523). Et 
conf. Eucl. phaen. propos. 3 p. 566, Heiberg. Stud. Eucl. p. 42, 
denique appendicem ad h. 1. 

FIGURAM quae supra delineata est et illam alteram quae 
p. 25 extr. sequitur secundum scriptoris verba nostra coniectura 
adumbraviinus. In codieibus AC et Parisino 2472 ad hanc 
propositionem primum ea figura adscripta est quae in nostra 
editione infra sequetur tertio loco (p. 27), tum illa quam ad 
Graecum scholium 1£ (p. 28) exhibebimus. In BE prior tantum 
ex his quas diximus reperitur. Auria p. 18 et 32 praebet figu- 
ram ex duabus quae sunt in AC Paris. 2472 concinnatam; ad 
quam quae litterae adscriptae sunt, eas suo ingenio elegit in- 
terpres (conf. append. ad VII propos.). 



24 nEPi maipas. 

(xfr) HZ®> xal ixe&vx&aHSav al H® HZ ZE ZB. iltel 

iv GcpaiQa \iiyc6tog xvxXog 6 HZ® xvxXov xiva tcov 
iv ttj Gyaioa tbv ABAT dicc tcov TtoXcov tiuvei, dt%a 
re avtbv te\iet xal TtQog oQ&dg' dtd\ietQog doa itivlv 
r) H® tov ABAT xvxXov. xal 6 HZ® xvxXog ooftog 5 
i6ti rtobg tbv ABAT xvxXov xvxXov dr) tivog tm 
ABAT iitl dta^iitQOv trjg H® t\irj\ia xvxXov oq&ov 
icpi6tr\xev tb HZ®, xal r) tov icpe6tootog t\ir]\iatog tov 
HZ® TteQLcpiQeia eig dvt6a tit\ir\tat xatd tb Z 6rj\ietov, 
(X) xal e6ttv iXa66oov r) ZH TteQtcpiQeta [r) r)\iL6eLa\ ' r) ZH 10 

(Xa) aQa ev&eta iXa%L6trj i6tlv 7ta6o3v toov ccTtb tovZ 6r] { uetov 
TtQog tbv ABAT xvxXov 7tQo67tL7ttov6oov ev&etcov xal 
r) eyytov aQa trjg ZH iXa66oov i6tCv ' iXcc66cov aQa 

(X§) i6tiv r) ZE tr)g ZB. dXXd xal i'6rj, OTteQ i6tlv dtOTtov 
ovx aQa 6 AB xvxXog oV aXXov ttvbg 6r]\ieiov r) dta 15 
to£ B tr)v avatoXrvv 7totr]6etat, dtd de tov A tr)v 8v6tv. 
6\ioicog dr) det%o\iev ott xal 6 TA xvxXog dtd [ihv tov 
A tr)v dvatoXrjv 7totr]6etat, dtd de to£> T tr)v dv6tv' 
co6te of AB TA ^vxAot aiel xatd td ccvtd 6r]\iela tov 
OQt^ovtog tdg te dvatoXdg xal tdg 8v6etg Ttotovvtat. 20 



(x-fr) dia. xov is' xov a xcov 6cpaLQiY.cov. 
(X) 'Eav noXco xco Z dicc6xrjiiccxi ds xco H y,VY.Xog yqacpfi ' 
scpdtpsxccL yaQ. ■x.ccl 6(iOLcog xco avco 8sL%%"r]6SxaL. 
(Xa) Alc\ xov a' xov y' xcov 6cpaLQLv.cov. 
(Xfi) c £lg sv xco tcqo xovxov sdsL%d"rj. 25 



1) Theodos. sphaer. 1, 15 (conf. 6%oXlov %%). 

2) Quia ex hypothesi circulus afidy obliquus est ad axeiu, 
et ex constructione rj punctum sectionis circuli afidy curn cir- 
culo rjffi propius est polo % quam contrarium sectionis punc- 
tum &, punctum igitur r\ in circumferentia ^rfo positum est 
inter polum £ et circulum aequinoctialem, cuius polus est £; 
ergo arcus £rj minor est quadrante circuli, id est minor di- 
midio semicirculo, id est minor arcu £<&•. 



DE SPHAERA PROPOS. 7. 



25 




scribatur ^gO-, et iungantur rectae r}& qZ, & £/$. Quoniam 
in sphaera niaximus circulus rjffi alium in eadem 

sphaera circulum afidy per 
polos secat, bifariam et ad 
rectos angulos secabit *) ; 
ergo r\& diametrus est cir- 
culi afidy. Et circulus r]^ 
perpendicularis est ad cir- 
culum afidy; itaque in cir- 
culi ajidy diametro rjft per- 
pendiculare insistit segmen- 
tum rjffi, et eius segmenti 
circumferentia inaequaliter secta est in puncto g, et 
minor arcus est £17 2 ); ergo recta fy minima omnium 
est quae a puncto £ ad afidy circulum deducuntur 3 ) ; 
itaque etiam minor est quae propior rectae £ty; ergo 
ffi minor est quam £/3. Sed eadem etiam aequalis 4 ), 
id quod absurdum est; ergo circulus 
a($ in nullo alio puncto nisi /3 orie- 
tur, neque in ullo nisi a occidet 5 ). 
Similiter demonstrabimus circulum 
quoque yd in puncto d oriturum 
esse et in y occasurum; ergo circuli 
«/3 yd semper in iisdem horizontis 
puuctis et oriuntur et occidunt. 




3) Theodos. sphaer. 3, 1 (conf. 6%6liov Xa). 

4) Quia ex hypothesi punctum s positum est in circuru- 
ferentia circuli cc§ , cuius polus est £. Conf. Theodos. sphaer. 
1 def. 5 et supra propos. 6 extremam (p. 21). 

5) Omissa est demonstratio similis superiori, qua suppone- 
batur circulum a§ in puncto quidem § oriri, sed in alio puncto 
praeter a occidere et cet. 



26 nEPI 23»AIPA2. 

(Xy) Aiyco 8r\ ort xal 6{iotcog sitil xsxXtpivot TtQog xov 
ABAT oQi%ovta. 

(X8) 'Ejts&vx&aGccv yccg at AB TA KM AN. iitsl 6 
HZ® xvxXog tovg AB TA AT/IB xvxlovg dtd tcov 
tcoXcov ti^ivst, xal itQog OQ&dg avtovg ts^tsl' 6 HZ® 5 
aoa xvxkog OQ&og i6tt TtQog sxaOtov tcov AB TA 
ABAT xvxlcov co6ts xal sxdtsQog tcov AB ABAT 

(Xs)xvxXcov oQ&og iotiv itQog tbv HZ®' xal r\ xotvr) 
aQa to^irj r) tcov AB TABA r) AB ooihj i6ttv 
%Qog tbv HZ® xvxXov xal TtQog itdtiag aQa tdg 10 
djtto^iivag avtrjg iv tco HZK® iittTtidco oQ&rj i6ttv 
r) AB. dittstat ds trjg AB sxati^a tcov H® KM 
ov6a iv tco tov HZ® xvxXov iittTtidco' r) AB aQa 

(%s) 7tQog ixatiQav tcov H® KM 0Q&r\ i6ttv ' co6ts 



(Xy) 'AXX' r) [isv del&g avxr\ YaXcog s%ov6a ini tovds tov 15 
&scoQrjLiatog i cpvXaxxousvov xov xr)g nQOzdescog nQO§LOQL6uov 
tov slvcu Xo^bv xbv oql^ovxcc 7tQog xbv cct),ovcc. buolcog ds Ssl- 
%&rj6sxcci, %cci sl (ir\ Xo^bg r) 6 oqi^cov n^bg xbv dtj,ova, aXXd di 
ccvxov xov dtjovog, otcsq S6xlv ini xr)g OQ&rjg 6cpaiQag, sdv ini 
tov OQL^ovtog Xdficousv tbv noXov tcov naQaXXrjXcov yvyXcov tb 20 
H tv%bv 6rjusiov, Y.al dicc tov toiovxov 6tj[islov, na&d xat 
nQotSQOv, (isyt6xov y.vyXov yQaipcousv, xal xd avxd xoig nQoxs- 
qov Y.axa6Y,sva6avxsg Ssi£,cousv L6rjv xr)v dnb xov H ini xb B 
tfj dnb xov H ini tb E, %ai tb dxonov naQa6xrj6co\isv . xovxo 
dh nQodsdsiHxat xoig scpi6xco6i y.ai iv xcp s' bscoQrjuaxL tov 25 
naQovtog fiifiXlov. 

(Xd) did tov ls' tov a' tcov 6cpatQLY.cov. 

(Xs) Aid tov t-9 1 ' tov La' Evy.XslSov. 

(X<z) dLa tbv oqov snLnsdov yaQ nQog snCnsSov YXl6ig 
S6tiv r) nsQis%Ofisvri o^sia ycovia vnb xcov nQog OQ&dg xr\ yolvjj 30 
tonfi dyoiisvcov nQog tco avtco 6rjfiSLcp sv SYatSQCp tcov snins- 
dcov. Yai s6xlv r) fisv KM iv tco avtco tov AB yvyXov sni- 
nsdco nQog OQ&dg tf\ %0Lvfi topfj tfj AB, r) ds &M iv tcp tov 
ATJB inLnsdcp nQog OQ&dg xfj YOivfj xopfj tfj AB, Y.ai not- 
oi)6LV ot^siav ycovlav tr)v vnb KM©. 35 

FIGTJRA in hanc propositionem tertia delineata est ad si- 
militudinern eius quam codices exhibent (conf. adnot. ad figu- 



DE SPHAERA PROPOS. 7. 



27 




Iaru dico circulos afi yd etiam siuiiliter inclinatos 
esse ad korizontein afidy 1 ). 

Iungantur enim a/3 yd x^i Xv. Quia circulus rjffi 
circulos a(3 yd aydfl per polos secat, eosdem ad rectos 
angulos secabit 2 ); circulus igi- 
tur rjffi perpendicularis est ad 
unumquemque circulorum a/3 yd 
afidy, itaque etiam uterque cir- 
culorum a/3 afldy ad circulum 
rjffi perpendicularis est 3 ); ergo 
etiam recta a(3, id est communis 
sectio circulorum afi ydfia, per- 
pendicularis est ad circulum 
^s/fr 4 )', ergo eadem afi ad omnes 
rectas, quae in plano rj&d- ipsam tangunt, perpendicu- 
laris est 5 ). Tangit autem rectam a/3 utraque recta- 
rum rjd' x[i, quae sunt in plano circuli ^£0'; er go a/3 
ad utramque ^O" xfi perpendicularis est; itaque angu- 

rarn p. 23); nam si aliam forte rationem, similem prioribus 
nostris figuris, iDiissemus, perspicuitatem et evidentiam singu- 
larum linearum vix servavissemus. 

1) Conf. 6%6liov ly et appendicem ad VII. propositionem. 

2) Theodos. sphaer. 1, 15 (conf. o%61lov 18). 

3) Postquam scriptor ostendit circulum rjffi ad circulos 
ctfi yd afidy perpendicularem esse, nostratibus quidem viris 
doctis supervacaneum esse videatur hoc praeterea subiungere, 
vice versa ununaquemque circulorum a§ yd a§dy ad r\ffi per- 
pendicularem esse. Sed ista in demonstrando verbositas propria 
fuit vetustissimae dictionis mathematicae, id quod, ut alia ta- 
ceam, docet similis locus qui infra in demonstratione duode- 
cimi theorematis sequetur. Verum in Graecis delendae erant 
notae Td (v. p. 26 adnot. ad v. 7); nam de duobus tantum 
circulis a§ afidy agi et tenor conclusionis et ipsa forma Ixa- 
Tsqog (diversa ab illa quae antecedit ev.aaxog) demonstrabat. 

4) Eucl. elem, 11, 19 (conf. g%6Xlov U). 

5) Ibid. def. 3. 



28 



IIEPI 2$AIPAS. 



Q>Z)r) V7tb xcov KM& ycovCa r) xXC6ig e6xlv hv r) xixXixaL 
(Atj) 6 AB xvxXog TtQog xbv ABAT xvxXov. Olcc xa avxa 
drj xal f] VTtb xcov AN& ycovCa e6xlv f] uXiGig ev fj 
nixXixaL 6 TA xvxXog TtQog xbv ABAT. xal eTtel 
dvo £7tL7tsda 7taQaXXrjXa xa AB TA vTto Xivog eitL- 5 
(X&)7tidov xov Z® % xi{iv£xaL, aC xolvoX a.Qa avxcov xopal 
aC KM AN ev&eZaL 7taQaXXr\XoC eltiiv co6xe C6r\ e6xlv 
rj VTtb xcov KMN ycovCa xfj vitb xcov AN® ycovCct. 
xa\ e6xLV f) {iev vitb xcov KM& ycovCa f] xXC6Lg rjv 
xixXLxaL 6 AB xvxXog TtQog xbv ABAT xvxXov, r\ 10 
de vitb xcov AN& ycovCa f] xXC6Lg rjv xixXLxaL 6 TA 
xvxXog 7tQog xbv ABAT xvxXov oi AB TA aQa 
xvxXol o^ioCcog ei6l xexXL^iivoL TtQog xbv ABAT xvxXov. 
r[. Ol xcov avxcov e<pa7tx6[ievOL piyL6xoL xvxXol, 
cov xal 6 oqC^cov aitxexat, 6xQecpO{tivr]g xrjg 6cpaCQag 15 
e<paQ{io6ov6LV eTtl xbv OQL&vxa. 

(X£) "Oxl 81 o^slcc soxlv r) vnb KMN ycovia, 8r)Xov ovxcog- 
iccv yQccipcoLLSV xbv LisyLOxov xoov 7tccQccXXrjX(ov xbv EPO, oog 

VTtOYSLXCCL, XSXCCQXr]LLOQLOV S6XCCL 

ZP • sy. noXov ycxQ xov SPO' 20 

LLSL^OOV CCQCC XSXCCQXrjLLOQLOV fj 
HP. YCCL S6XLV rjLLlY.VY.XlOV f\ 
HO ' sXcC6600V CCQCC XSTCCQXr]- 

LLOQLOV rj P& ' llsl^cov ccqcc f\ 
HP xr)g @P. Y.al §sPn*sv STti 25 
llsv xrjg HP nsQLcpsQSiccg r) 
vnb HZP, srti Ss xi)g P@ 
TCSQtcpsQSLag r) vnb P2@, Y.cci 

S6XI V.SVXQOV xb £ TtCCVXCOV xoov 

LLsyiaxoov y.V7iXcov llsl£cov ccqcc 30 
fj vnb PSH ycovicc xr\g vrtb 
P21®. kccl sl6l dvoiv OQ&CCtg 

L6CCL' O^SLCC CCQCC '// V7tO PZiO' 

C06XS v,cci cct M N dicc xovg 7tccQccXXr]Xovg' l6ccl yccQ ccl XQStg. 

(Xrj) r 'Oxs llsv yccQ Slcc xov B ccvccxsXXsl, r) JBZ sv, tcoXov 35 
s6xlv, oxs 8s 8icc xov E, rj ZE s% noXov' vtcoyslxccl yccQ Lir) 
ccsi 8lcc xov B, ccXXcc v.cci 8icc xov E dvccxsXXsiv. 

(X&) zJlcc xov l?' xov lcc EvkXslSov. 




DE SPHAERA PROPOS. 8. 



29 



lus %il& inclinatio est, qua eirculus a(l ad circulum 
afldy inclinatus est 1 ). Iani eadem ratione demonstra- 
tnr angulum lv& inclinationem 
esse, qua circulus yd ad circu- 
lum afidy inclinatus est. Et 
quia duo plana parallela afi yd 
plano aliquo ffi secantur, com- 
munes igitur eorum sectiones, 
id est rectae xp lv } parallelae 
sunt 2 ); itaque angulus xpv an- 
gulo kv& aequalis est. Atqui 
angulus x^ est inclinatio, qua circulus af3 ad cir- 
culum afidy inclinatus est 7 et angulus Xv& inclina- 
tio 7 qua circulus yd ad eundem afldy inclinatus est; 
ergo circuli a/3 yd similiter inclinati sunt ad circu- 
lum afidy. 

VIII. Circuli niaxirni, qui eosdem quos horizon 
cireidos tangunt, in conversione sphaerae cum hori- 
zonte congruent. 




Prop. 



1) Eucl. elem. 11 def. 6. Conf. 6%6ha Xz ac %£ et appendi- 
cem ad VII propositionem. 

2) Ibid. 11, 16 (conf. 6%6Xiov X9). 

PROPOS. 8: Pappus collect. 6 cap. 39 (p. 522). Mauro- 
lycus fol. 61 v Graeca verba sic dilatavit: c Si circulus maior in 
sphaera fixus apparens ab occulto dirimat inclinatus ad axem: 
quicunque circulus maior contingit duos circulos parallelos 
aequales semperque apparentem semperque occultum, quos 
horizon contingit: evoluta sphaera, congruit horizonti.' Quae 
sic explicat idem: f Nam, dum versatur sphaera, puncta con- 
tactuum feruntur semper in periferiis dictorum parallelorum : 
et perinde contactus dicti circuli maioris couniuntur contactibus 
horizontis: et circulus ipse counitur horizonti.' 



30 nEPI S<I>AIPA£. 

"Egtgo iv 6cpaCQa oql^cov 6 ABT, \iiyL6xog ds xcov 
[iev cdel acpavcov e6xco 6 AE, xcov ds alel cpaveocov 
e6xco 6 AA, cov icpccTtxsxuL 6 ABT oql^cov, kul ye- 
yQucp&co xig {ieyt,6xog TcvxXog icpu7txo\isvog xcov AA AE 
6 ABET' Xsyco oxi 6XQECpo\iivr}g xijg 6cpatQag 6 ABET 5 
hvjoIos icpaQ\i66ei iitl xov ABT oqC%ovxu. 

TeyQacpd-co yuQ xig xcp AA TtuQuXXrjXog nvxXog 6 
((i) HZ®' a6v\ntxcoxov drj i6xiv xo aito xov A t)\ilxv)cXlov 
cbg iitl xa T Z E \ieqt] xco aitb xov A t)\ilkvxXCco cbg 
ijtl xa H B A peQrj. ijtel ovv tiuquXXy\XoC el6Lv kvkXol 10 
ol AA ZH&, kul yeyQa^iuevoL el6\v kvkXol \isyL6xoL 
ol ABT ABET svbg \iev avxcov icpu7tx6\isvot xov . 
AA , xbv 8e HZ& xs\ivovxsg, kul el6lv \isxu%v xcov 
a6v\jL%xcoxcov r)\iLKvxXCcov ai AKA ZH AE tieql- 
(fia) cpsQSLUL , b\ioCu uqu i6xlv r) AKA TtsQLCpSQSLu xr\ ZH 15 
(li§)7tccl xfj AE TtSQLCpEQsCu' iv l'6cp uqu %Qovcp xb A xr)v 
AKA 7teQtcpEQeLav dLsX&bv iitl xb A TtuQuyCyvsxut ku\ 
xb Z xr)v ZH 6leX&ov iitl xb H TtuQuyCyvsxut kul sxl 
xb E xtjv AE TteQLcpEQeLav OlsX&ov iitl xb A itaQa- 
yCyvsxuf co6xe iv xfj 7tEQL(poQU xfjg 6cpaCQag, bxuv xo 20 
A i%\ xb A 7tUQuysvr\xuL , xoxs kul xb Z iid xb H 
7taQ£6xaL ku\ xb E ijt\ xb A, ku\ icpuQ\io6sL r; AZE 



(li) Avvuxov yuQ ■x.cu stSQOvg nuQuXXr]Xovg x<p Ad yQutyui, 
cqgze v.uxu nXsiovu 67]u,8lu 6vli@uXXslv xovg y,VY.Xovq. 

(fiu) Anb xov iy' xov §' xav 6o?ulqik(ov. 25 

(ii§) 'Ano xov §' xov uvxov. 



FIGURA codicum ABCE, similiter atque illae quae ad 
propos. 5 et 6 pertinent, in planum redacta quinque circulos 
7}& and urjfiXy dfisyg (sic) Xs partim tangentes inter se, partim 
secantes, exhibet. 



DE SPHAERA PROPOS. 8. 



31 




Sit in sphaera horizon a(5y obliquus ad axem, 

maximus autem circu- 
lorum parallelorum sem- 
per latentium sit Xe, 
et maximus eorum qui 
semper apparent sit ad, 
quos quidem horizon 
afly tangit, et describa- 
tur maximus aliquis cir- 
culus dfiey, qui circulos 
ad Xe tangat ; dico fore 
ut in conversione sphae- 
rae circulus dfiey cum 
horizonte a(3y congruat. 

Describatur enim • circulus aliquis qffi parallelus 
circulo ad; ergo semicirculus a puncto d ad partes 
y % s pertinens non concurrit cum semicirculo qui ab 
a ad partes r\ /3 X pertinet. Iam quia circuli ad tflft 
paralleli sunt, et descripti sunt maximi circuli afiy 
dfisy, unum quidem ad tangentes, alterum autem nffi 
secantes, et inter semicirculos non concurrentes sunt 
arcus dxa ^rj Xe, similis igitur est arcus dxa arcui 
Zq et arcui /U 1 ); aequali igitur tempore punctum d, 
cum arcum dxa percucurrit, ad a pervenit ac £, cum 
arcum £rj percucurrit, ad r\ pervenit ac denique e, 
cum arcum eX percucurrit, ad X pervenit 2 ). Itaque in 
conversione sphaerae, cum d ad a pervenerit, tum 
etiam £ ad r\ et s ad X accesserit, et arcus d£e con- 



1) Theodos. sphaer. 2, 13 (conf. c%6Xiov iioc). 

2) Autol. propos. 2 huius (conf. c%6Xiov p§). 



32 



IIEPI 23>AIPA£. 



TtEQttpiQEta £7tl tr)v AHA ' co6tE xal oXog 6 dBET 
xvxXog icp' oXov xov ABT xvxXov £tpaQLto6£i' el yag 
ovx £cpaQito6£t^ dvo xvxXot t£iiov6tv aXXrjXovg xata 
(py)7tXeCova 6rjLista, otieq £6tIv atoizov 6TQ£cpOLtivr\g aQa 
trjg 6cpauQag £cpaQLto6£t 6 ABE xvxXog m\ tbv ABV 5 
xvxXov. 

%•' . 'Eav iv 6cpatQa \iiyt6Tog xvxXog Xo%bg cov TtQog 
tbv a%ova OQitfl to t£ cpavEQOv tfjg 6tpatQag xal tb 
dtpavig, toov dcia dvaTsXXovTcov 6r\Lt£tcov tcc 7tQog tco 
cpavEQcp TtbXco v6t£Qov dvvEt, tcov de dixa dvvovtcov 10 
ta TtQog tcp cpavEQCp TtbXcp ttqoteqov dvaTiXXst. 

7 Ev yaQ 6cpaiQa Lii- 
yi6tog tcvxXoq 6 ABT 
Ao£6g cov TtQog tbv a\ova 

OQtllitCO TO t£ (paVEQOV 

trjg 6<paiQag xal tb 
dcpavig , xa\ EiXr](p%co 
dvo 6r\ixEia td T E 
olio6e avatiXXovta^ xal 
£6tco iyytov tov cpa- 

VEQOV TtoXoV tO T 7]7t£Q 

tb E' Xiyco ott td T E 

6r\\L£ta ov% 6lio6e dv6£tat, dXX' v6teqov 8v6Etat tb T 

rot> E. 

"E6tco6av yaQ 7taQaXXr\Xot %v^/lot xa& cov cpiQEtat 25 
ta T E 6rjLi£ta oi TZ® EHK. inel 6 ABT oQtfcv Xo%6g 
£6ttv TtQog tbv d%ova, xal TtQog tovg 7taQaXXr\Xovg 

(uy) 'Ev xco l twv hvhXlkcov. 

FIGURA codicum ABCE, in planum redacta, exhibet 
circulos &£Xy rj£% circa centrum « descriptos et circulum ccrjfis 
(sic) hos quos dixi secantem. Littera d abest. 




DE SPHAERA PROPOS. 9. 33 

gruet cum arcu arjX; itaque etiam totus circulus djisy 
cum toto afiy congruet; nam si non congruet, duo se 
invicem circuli secabunt in pluribus quam duobus 
punctis, id quod absurdum est 1 ); ergo in conversione 
sphaerae circulus d(5s cum circulo afly congruet. 

IX. Si in sphaera maximus circulus, obliquus ad r g P * 
axem, distinguat conspicuam sphaerae partem et occul- 
tam, punctorum simul orientium ea quae sunt propiora 
conspicuo polo posterius occidunt, punctorum autem 
simul occidentium ea quae sunt propiora conspicuo 
polo prius oriuntur. 

In sphaera enim maximus circulus a@y, obliquus 
ad axem ; distinguat conspicuam sphaerae partem et 
occultam, et sumantur duo puncta y s simul orientia, 
et sit y propius conspicuo polo quam s; dico puncta 
y s non simul occasura esse, sed posterius occasurum 
y quam s. 

Sint enim circuli paralleli, per quos puncta y s 
feruntur, yffi sy\k. Quoniam horizon afiy obliquus 



1) Sive Autolycus ipse sive alius quispiam hanc deuion- 
strationem apagogicam addidit, verborum sententia haec esse 
videtur: f Si duorum circulorum circumferentiae duo puncta com- 
munia habent, circuli aut se secant aut congruunt; at si tria 
puncta communia habent, iam fieri non potest, ut se secent 
(nam sic se secarent in pluribus quam duobus punctis, quod 
absurdum est propter Eucl. elem. 3, 10) ; ergo unum relinqui- 
tur, ut congruant.' Euclidis elementorum libri tertii (xaiv 
y.vkXiy.oov) propositio decima citatur scholio Graeco (iy. 

PROPOS. 9: Pappus collect. 6 cap. 40 (p. 522). Ad ean- 
dem Maurolycus fol. 61 v adnotat: f Nam punctum polo manifesto 
vicinius habet, per 24 m [lege 20 m ] secundi Theodosii, maiorem 
arcum super horizontem: et perinde si simul oritur, cum puncto 
remotiori a dicto polo: posterius occidet. Et si simul occidat. 
iam prius exortum est per 2 m huius.' 

Autojycus. 3 



34 



IIEPI 2<£AIPA2. 




10 



(fii) Xo%6g e6xlv r) TZ ccqcc TtEQtcpiQSLa xrjg EH TtSQLCpSQsCag 

Iiec^cqv s6xlv r) b[ioCa. 

s6xco xfj EH b{ioCa r) 
(pe) TA' ev l'6cq aqa %govcp 

xb T ETtl xb A TtaQa- 

yiyvExai %al xb E STtl 

xb H. dXX' oxav [isv 

xb E ETtl xb H TtaQa- 

yEVY\xai^ dvvsi xb E, 

OXaV OS XO 1 STtL xo A 

7taQay£vr]xaL , ovdiitco 
Svvel xb T, dXX* EXL 

VTtEQ yfjV S6XLV TtQOXEQOV CCQa dvVEL XO E XOV T' 
C06X£ V6XEQ0V dlJVEL XO T XOV E. 

ndhv 6e dvvixco xa Z H a6xQa b{io6£' Xiyco oxl 15 
ov% d{ia dvaxiXXEL, aXXd itQoxEQOv xb Z xov H. 

'Etcel yaQ r) TZ TtEQLCpiQua xijg EH TtEQLcpEQsCag 
(fig) iiel^cqv s6xlv 7] bpoCa, XoLTtr) aQa 7) Z0T XoLTtrjg xrjg 
HKE iXa66cQv s6xlv rj b{ioCa. s6xco r) Z®T bpoCa 
xfj HK. ETtsl b{ioCa s6xlv r) Z®T itsQLcpiQSta xfj HK 20 
7tSQLCpSQsCa, 6XQE(poiiivr\g aQa xrjg 6cpaC^ag d[ia xb Z 
iitl xb T TtaQayCyvExat xctl xb H STtl xb K. kqoxeqov 
ds xb H STtl xb K TtaQayCyvsxat r\TtsQ sjtl xb E' tiqo- 
xsqov aQa Tcal xb Z etlI xb T TtaQayCyvsxaL rJTtSQ xb H 
ETtl xb E. dXX' oxav [isv xb Z stll xb T TtaQayivrjxat, 25 
dvaxiXXsL xb Z, oxav ds tb H sTtl xb E TtaQayivrjxat, 
dvaxiXXsL xb H' tiqoxeqov aQa dvaxiXXsL xb Z xov H. 



(pd) Jlcc xov v! xov (5' x<ov 6q)caoiK(ov. 

([is) 'Aiio xov |3' xovxov xov $i$Mov. 

(li<5) 'EitEidr] nocg nvyilog itavxl opoiog iaxiv xco xag d' 30 



DE SPHAERA PROPOS. 9. 35 

est ad axem, idein etiam ad parallelos obliquus est 1 ); 
ergo arcus yt, maior est quam similis arcui sr\ 2 ). Sit 
arcui sr\ similis yX; aequali igitur tempore punctum 
y ad X ac punctum s ad r\ pervenit 3 ). At punctum s } 
cum ad r\ accessit, occidit, punctum autem y, cum ad 
X accessit, nondum occidit, sed etiam super horizontem 
est; prius igitur occidit e quam y\ itaque y posterius 
occidit quam s. 

Rursus autem puncta J r\ simul occidant; dico ea 
non simul, sed prius g quam r\ oriri. 

Nam quia arcus y£ maior est quam similis arcui 
sr\ } reliquus igitur ffiy minor est quam similis reli- 
quo i?x£ 4 ). Sit arcus tfty similis ipsi r\x. Quoniam 
arcus ffiy ipsi r\% similis est, in conversione igitur 
sphaerae punctum % simul ad y atque r\ ad k per- 
venit. Prius autem punctum r\ ad % quam ad s per- 
venit; ergo etiam punctum £ prius ad y } quam r\ ad 
s } pervenit. Sed punctum £, cum ad y accessit, oritur ; 
punctum autem r\ } cum ad s accessit, oritur; ergo % 
prius oritur quam r\. 



1) Autol. propos. 7 huius. 

2) Theodos. sphaer. 2, 20 (conf. 6%6Xiov (id). 

3) Autol. propos. 2 huius (conf. 6%6liov lis). 

4) Quoniam omnis circulus omni circulo similis est: quat- 
tuor namque anguli, qui sunt in centro, in omnibus circulis 
insistunt recti. SCHOLIUM apud Auriam p. 32 (expressum e 
Graeco ju-s). 



ycovLccg tccg noog tcp %ivtQop tccg OQ&ctg inl oXcov tcov v.vkXcov 
§efirj7iivca. 



36 



IIEPI I>I>AIPA£. 



l . 'Eav iv 6cpaiQa {leycGtog xvxlog Ao|6g cov TtQog 
tbv atpva 60*% xo ts cpavsQov tr\g CcpaiQag xal tb 
dcpavig, 6 dia tcov itolcov trjg 6cpaiQag xvxlog iv yna 
TCSQicpOQa trjg 6cpaiQag dlg s6taL OQ&bg TtQog tov OQit,ovta. 




'Ev yaQ 6cpaiQa \iiyi6tog xvxXog o ABT oQL^itco 

tb ts cpavsQOV trjg 6cpaoQag xal tb acpavsg Ao%bg cov 

(n£) TtQog tbv a%ova^ xal s6tco {iiyi6tog tcov aisl cpavsQcov 

b AZE xvxXog, 6 ds cpavsQog itoXog tr\g 6cpaiQag s6tco 

6 A, 6 ds 6lcc tcov itbXcov trjg 6cpaLQag xvxXog s6tco 

6 BAT' Xiyco btL iv [iLa TtSQLCpOQa trjg 6cpaiQag 6 BAT 

xvxXos dlg s6taL oQ&bg TtQog tbv ABT OQi%ovta. 

TsyQacpftco yaQ Slcc tcov A A 6r\\Lsicov \niyL6tog 

tj) xvnlog b AA&' r)^SL dr) xal cJlcc tcov tov ABT itbXcov 

xal s6taL oQ&bg 7tQog avtbv. xal iitsl sxdtsQog tcov 

(iv^) Tovtsgtlv ov scpccTCTSTdL 6 ABr nvxlos' cpccvsqov ycco 

HCil 0.710 XOV <5 OTL SCpCiTZTSTUL. 

([17]) 'Anb tov s tov $' tmv (tcpuLQLKcov. 



10 



15 



DE SPHAERA PROPOS. 10. 37 

X. Si in sphaera maximus circulus, obliquus ad p *°P- 
axein, distinguat conspicuam sphaerae partem et occul- 
tam ; circulus per sphaerae polos ductus in una conver- 
sione sphaerae bis ad horizontem perpendicularis erit. 

In sphaera enim maximus circulus a($y distinguat 
conspicuam sphaerae partem et occultam, obliquus ad 
axeru, et maximus circulorum semper apparentium sit 
aferj, perspicuus autem sphaerae polus sit punctum d, 
circulus autem per polos sphaerae ductus sit /3<fy; 
dico in una conversione sphaerae circulum fidy bis 
ad horizontem afiy perpendicularem futurum esse. 

Describatur enim per puncta a d maximus circulus 
add- 1 )] transibit igitur etiam per polos circuli afiy 2 ) 
eritque ad eum perpendicularis 3 ). Et quia uterque 



FIGURA codicum ABCE exhibet maiorem circulum a§&y 
et minorem ccgsrj inter se intus tangentes. Praeterea descriptae 
sunt circumferentiae §£dr}y (sic) et ccdsQ'. 

PROPOS. 10: Pappus collect. 6 cap. 41 (p. 522). Ad ean- 
dem Maurolycus fol. 61 v adnotat: f Patet, quoniam talis cir- 
culus bis transit in uno ambitu per polos horizontis: quare 
per 20 m [lege 15 m ] primi sphaericorum Theodosii bis eum 
orthogonaliter secabit.' Praeterea scholio apud Auriam p. 32 
comparatur positio circuli meridiani, cum quo omnis circulus 
per polos ductus bis in die congruat, et citatur prima pars 
secundae propositionis Euclidis phaenomenon, qua in proposi- 
tione Euclidem hoc decimo Autolyci theoremate usum esse 
demonstrat Heiberg. Stud. Eucl. p 40. 

1) Theodos. sphaer. 1, 20. 

2) Ibid. 2, 5 (conf. 6%6Xiov (irj). 

3) Ibid. 1, 15. 



38 nEPI 2<£AIPA2. 

(fiti) ZAH AAE tbv AZH xvxXov dtcc tcov itbXcov tspvst, 
t6r\ ccqcc s6tlv r) ZA TtsQtcpSQSta tfj EH TtSQtcpSQsta' 
(v) sv l'6cp ccQa XQOva tb Z 6r}{istov tr)v ZA TtSQtcpsQStav 
dtsXsv6stat xal tb H ti]v HE' 6tQScpoytsvr]g a,Qa tr)g 
6cpaiQag, otav tb Z tr\v ZA TtSQtcpsQStav QtsXftov STtt 5 
tb A itaQaysvrytat , xal tb H tr)v HE dtsX&bv siti 
ro E itaQaysvrycai, r) ZAH TtSQtcpsQSta scpaQ{io6st sitl 
(va) tr)v AAE JtSQicpsQSiav co6ts xal bXog 6 BAT xvxXog 
(v§) scp' bXov tbv AA& xvxXov scpaQ{io6st. dX?J 6 AA& 
xvxXog 0Q&6g s6ttv TtQog tbv ABT xvxXov xal 6 10 
BAT aQa xvxXog 0Q$6g s6ttv %Qog tbv ABT xvxXov. 
itdXtv dr) 6tQscpoytsvr]g trjg 6cpatQag, btav tb H 6r]{istov 
ccQ^dyLSvov ditb tov E 6r\^istov tr)v EZA TtSQtcpSQStav 
dtsX&bv STtt tb A 7taQaysvrjtat , tots xal tb Z 67][istov 
aQ%d{isvov aitb tov A 6r\^stov tr)v AHE TtsQtcpsQStav 15 
dtsX&bv STtt tb E 7taQs6tat, xal scpaQ{io6st r) ZAH 
TtsQtcpsQSta sTtt tr\v AAE itSQtcpsQStav co6ts xal bXog 
b BAT xvxXog scp' bXov tbv AA® xvxXov scpaQ- 



((*>&) 'Anb xov y xov y xcov ocpaiQMcov. 

(v) Aia xov {}' xovtov. 20 

(va) Aia xov 7]' xovtov. 

(vi3) c £lg ideix&r} dia xov s' xov ($' xcov GcpaiQL-acov. 



1) Hoc loco circulum ccds eundem quem antea ad& scriptor 
appellat, quouiam de sectione circuli arjst; agitur. Similiter 
circulus £drj nunc dicitur qui antea §Sy notatus est. 

2) Scilicet propter Theodos. sphaer. 1, 15 utraque circum- 
ferentiarum £r) as semicirculus est. Et sunt eiusdem circuli; 
itaque etiam inter se aequales ; subtracto igitur communi arcu 
arj restat £a = rjs. Similiter demonstrabitur esse ae = sa, 
et s£ = arj. Scholiasta Graecus ((1$), nescio qna ratione 
ductus, Theodosii sphaer. 3, 3 citat. 



DE SPHAERA PROPOS. 10. 



39 



circuloruru £drj ade 1 ) circulum affi per polos secat, 
an;us igitur t,a arcui er\ aequalis est 2 ); aequali igitur 
teuipore punctum £ arcum %a ac punctum rj arcum r\e 
percurret 3 ); ergo in conversione sphaerae, cum g, post- 
quam arcum t,a percucurrit, ad a, et punctum rj, post- 
quam arcum r\e percucurrit, ad e pervenerit, arcus t,dr\ 




cum arcu ade congruet; itaque etiam totus circulus 
(3dy cum toto circulo ad& congruet. Sed circulus adfr 
ad circulum afiy perpendicularis est; ergo etiam cir- 
culus fidy ad circulum a($y perpendicularis erit. Iam 
rursus in conversione sphaerae, cum punctum r\, post- 
quam a puncto e exiit et arcum et,a percucurrit, ad a 
pervenerit, tum item punctum £, postquam a puncto 
« exiit et arcum ar\e percucurrit, ad e perveniet, et 
arcus ^drj congruet cum arcu ade- : itaque etiam totus 
circulus fidy cum toto circulo ad& congruet. Sed 
3) Autol. propos. 2 huius (conf. 6%6liov v). 



40 



IIEPI 2$AIPAS. 



{io6sl. 6 ds AA® xvxXog oQ&og s6xlv TtQog xbv ABT 
xvxXov xal 6 BAT aoa xvxXog oo&og s6xlv Ttpbg 
xbv ABT xvxXov. itdliv dr) oxav xb H aQ%d{iivov 
anb xov A xr)v AH SlsX&ov sitl xb H TtaoayEvrjtai, 
xal xb Z aQ%dpsvov ditb xov E sitl xb Z 7tags6xaL, 5 
xal 6 BAT® xvxXog &s6lv s$sl r]v sl%sv g| aQ%rjg 4 
co6xs ovx 0Q$bg TtQog xbv OQL^ovxa TtXsov rj dlg £(5xai % 
sv \iia aQa TtsQLCpOQa xrjg 6<patQag 6 did xcov TtoXcov 
xijg acpatQag xvxXog dlg s6xai oQ&bg TtQog xbv oql- 
lovxa. 10 

id . 'Eav sv 6cpaLQa (isyL6xog xvxXog Xo%bg cov TtQog 
xbv d%ova oqCQi] xb xs cpavsQOv xrjg 6<paLQag xal xb 
iyy) dcpavsg, aXXog ds XLg Xo£bg [isyL6xog xvxXog [isl^ovcqv 
ditxr\xaL rj cbv 6 oql^cov ajtxsxaL, xaxd ita6av xr)v xov oql- 
^ovxog TtsQLCpsQSLav xr)v {isxa%v xcov TtaQaXXrjXcov xvxXcov 15 
cbv scpditxsxat xdg xs dvaxoXdg xal xag dv6sLg TtoLslxaL. 

'Ev yaQ 6cpaLQa 
{isyL6xog xvxXog 6 
ABT Xo%bg <nv 7tQog 
xov d%ova OQL^SXCO 
xb xs cpavsQov xrjg 
6cpaLQag xal xo dcpa- 
vsg, xa\ s<pa%xs6&co 
XLvbg xvxXov xcov sv 
xfi 6cpaLQa xov AA^ 
aXXog ds XLg Xo%bg 
\isyt6xog xvxXog bTZ 

[isl^ovcov aitxs6%co xcov ZB TH r/ a)v 6 ABT xvxXog 
scpa7txsxaL, xal s6xco dvaxoXLxd [isv psQr] xd Z H 




(vy) 'Slg 6 gcodiaxog. 



30 



DE SPHAERA PROPOS. 11. 41 

circulus ad& ad circuluru afiy perpendicularis est; 
ergo etiam circulus (idy ad circuluin afiy perpendi- 
cularis erit. Iam rursus, cuni punctum rj, postquam 
ab a exiit et arcum arj percucurrit, ad rj pervenerit, 
tum item punctum £, postquam ab s exiit, ad § per- 
veniet, et circulus pdyd' eandem, quam ab initio, 
positionem habebit; itaque non saepius quam bis per- 
pendicularis erit ad horizonteni; ergo in una conver- 
sione sphaerae circulus per polos sphaerae ductus bis 
ad horizontem perpendicularis erit. 

XI. Si in sphaera maximus circulus, obliquus ad P ^ p * 
axem, distinguat conspicuam sphaerae partem et occul- 
tam, et alter maximus circulus obliquus maiores cir- 
eulos parallelos quam quos horizon tangat, alter Ule 
auem diximus per totam horizontis circuniferentiam, 
quae est inter eos quos tangit circulos parallelos, et 
oritur et occidit. 

In sphaera enim maximus circulus ajly, obliquus 
ad axem 7 distinguat conspicuam sphaerae partem et 
occultam, et tangat circulum aliquem ad eorum qui 
sunt in sphaera, alius autem maximus circulus obliquus 
y% maiores circidos parallelos tangat £/3 yrj quam quos 
circulus apy tangit, et sint partes orientales £ rj } occi- 

PROPOS. 11: Pappus collect. 6 cap. 42 (p. 522. 523). 
Utitur hac propositione Eucl. phaen. 7 p. 570 (conf. Heiberg. 
Stud. Eucl. p. 42). Ad eandem Maurolycus fol. 62 r adnotat: 
f Patet, quoniam omnia puncta talibus parallelis interiecta oriun- 
tur et occidunt apud periferias horizontis iisdem interiacentes. 
Quare et tota talis circuli maioris periferia ididem facit.' 

FIGURAM descripsimus ad similitudinem eius quae in 
codicibus ABCE adumbrata est. Punctum in centro circuli ccd, 
a nobis additum, polum ?phaerae ideoque obliquam ad axem 
positionem circuli a$y significat. Auria arbitrio suo longe 
diversas et lineas et litteras posuit. 



42 



IIEPI 2<£AIPA2. 



dvxLxa ds xa B T' Xiyco oxl 6 ZT xvxXog aCsl dca {isv 
xrjg ZH TtSQLCpsQsCag dvaxsXsl, Slcc ds xrjg BT 6v6sxaL. 
ECXiqcp&co ydo XLva 6r\^LSla sitl xrjg ZT itSQtcpsQsCag 
xvyovxa xa ® K, xal s6xco6av 7taQaXXr\XoL xvxXol 
xa& cbv cpsQsxaL xd 
© K 6r^isla oC A&M 
NK&. etcsI xb Z 
(v8) 6rj[iSL0v aCsl $La [isv 
xov Z dvaxiXXsL OLa 
cTs xov B dvvsL, xb 
ds ® aCsl dLa [isv 
xov M dvaxiXXsL OLa 
ds xov A dvvsL, r) 

Z® CCQa TtSQLCpSQSLa 

aCsl $La [isv xrjg ZM 
dvaxiXXsL §La ds xrjg BA Svvsl' d^d xa avxa dr) 
xal r) ®K TtSQLCpSQSLa dta {isv xrjg M& dvaxiXXst dLa 
ds xrjg AN cJvvel, r) ds KT dLa [isv xfjg &H dva- 
xiXXsL dLa ds xrjg Nr 6vvsl' oXov aQa xb ZT r){iL- 
xvxXlov aCsl d^d [isv xrjg ZH TtsQtcpSQsCag dvaxsXXsL 
$La ds xr)g BT 6vvsl. bpoCcog di\ dsC^o^isv oxl xal 
xb sxsqov r)[iLxvxXLOV co6xs o/lo^ 6 ZT xvxXog aCsl 
xaxa Jta6av xr)v xov OQC&vxog TtsQLcpsQSLav xr)v {isxa^v 
X(ov %aQaXXr\Xcov xvxXcov xdg xs dvaxoXdg xal xag 
dv6SLg TtOLslxaL. 

l$ . 'Edv iv 6cpaCQa {livcov xvxXog cpSQO^isvov XLva 
xvxXov xcov iv xfi 6cpaCQa aCsl dC%a xi{ivr\, {irjdixsQog 
ds avxcov {irjxs TtQog OQd-ag r) xco d%ovt {irjxs d^a xcov 
TtoXcov xr)g 6cpaCQag, sxdxsQog avxcov ^iiyi6xog s6xaL. 




10 



15 



20 



25 



(vd) Jicc tov £' tovtov. 



DE SPHAERA PROPOS. 12. 43 

dentales autem /3 y\ dieo circulum %y semper per ar- 
cum £17 oriturum et per (iy occasurum esse. 

Sumantur enim in circumferentia gy 1 ) quaelibet 
puncta & x, et circuli paralleli, per quos puncta # n 
feruntur, sint l&p vx%. Quia punctum % semper in g 
oritur et in /3 occidit 2 ), et punctum & semper in p 
oritur inque l occidit, arcus igitur tft semper per 
arcum £{i oritur et per /3A occidit; atque eadem ratione 
etiam arcus xtx semper per [i% oritur et per Iv 
occidit, et arcus uy per %r\ oritur et per vy occidit; 
ergo totus semicirculus t,y semper per arcum ^rj oritur 
et per (}y occidit. Ac similiter demonstrabimus alterum 
quoque semicirculum per eosdem arciis semper oriri et 
occidere\ itaque totus circulus t,y per totam horizontis 
circumferentiam, quae est inter parallelos circulos, et 
oritur et occidit. 

XII. Si in sphaera circulus manens circulum quen- Pr ° p - 

1 £ 

dam qui in sphaera fertur semper bifariam secet, neuter 
autem eorum neque perpendicularis ad axem neque 
per polos sphaerae ductns sit ; uterque maximus erit. 

1) Ex verbis quae sub finem huius demonstrationis se- 
quuntur cognoscirnus xr\v Z.T nsQupsQBiccv hoc loco a scriptore 
intellegi semicirculnm ^y, qui est in conspicuo hemisrjhaerio. 

2) Autol. propos. 7 huius (conf. o%oliov vd). 

PROPOS. 12: Pappus coliect. 6 cap. 43 (p. 524). Utitur 
hac propositione Eucl. phaen. p. 562, 29 (conf. Heiberg. Stud. 
Eucl. p. 42). Ad eandem Maurolycus adnotat: f Nam si uterque 
sit circulus minor: manens non potest semper bifariam secare 
delatum, nisi manens ad rectos sit axi. Si manens sit maior, 
ac delatus minor: non potest semper bifariam secare delatum, 
nisi existentem ad rectos axi quod est contra hypothesim. Si 
manens sit minor, ac delatus maior: hoc esset contra 17 m 
[lege 12 m ] primi sphaericorum Theodosii. Superest ergo ut 
omnino sint ambo maiores.' Qualis in hac propositione [itvcov 
v.vv.Xoq intellegatur, explicat Th. H. Martin, Revue critiqiie, 1877, 
premier semestre, p. 414 (conf. indicem nostrum s v.). 



44 



IIEPI 23>AIPA2. 



(VB) 




10 



"E6xco iv 6cpuiQU [levcov xvxXog 6 ABT, cpeQo^evov 
de xlvu xcov iv xfj 6cpuiQu xvxXcov xbv TAB alel 8i%u 
xeybvexco, [irjdexeQog de uvxcov [irjxe TtQog oQ&ccg e6xco 
xcp u£ovl ^rjxe dicc xcov JtoXcov xrjg GcpaiQug* Xeyco oxv 
exuxeQog xcov ATB TAB xvxXcov ^ieyL6xog e6xuv. 5 

"E6xco yuQ uvxcov xolvyj xo^irj 
r) BT' rjBT uqu dLupexQog e6XL 
xov TAB xvxXov. xex\jLrj6$co 
rj BT di%u xuxcc xb E 6rj^elov' 

XO E UQU 6rj[l6L0V X6VXQOV e6xl 

xov TAB xvxXov. xu\ cpuveobv 

oxl xb E 6yj^6lov uiei 66xlv 

iv xcp xov ABT xvxXov iitt- 

Ttedcp xu\ xuxu itu6uv %6ql- 

cpQQuv xrjg 6cpctLQag' Xiyco dr) oxl xb E 6rj{i6L0v i%\ 15 

xov u%ovog i6xLV. 

El yuQ {ir) 66xlv iitX xov u^ovog, 6XQecpo{ievrjg uqu 
xrjg 6cpULQug xb E 6rjn6tov yQ<x^6L xvxXov itQog 0Q&ug 
xco u%ovl. yQucpixco xbv EZH. iitel xb E 6rj[i6L0v uie\ 
iv xcp xov ABT xvxXov iitLTtedcp e6x\v xul cpeQexuL 20 
xaxu xvxXov xov EZH, b EZH uqu xvxXog uiei 
i6XLV iv xcp xov ABT xvxXov ijtL7tedcp. xul 66xlv 6 
EZH sobolocj OQ&bg 7tQog xbv u\ovw xu\ 6 ABT uqu 
xvxXog OQ&og i6xv itQog xbv u%ovu, oiteQ ov% vito- 

X6LXUL' OVX UQU XO E 6rj{l6L0V OVX 66XLV i%\ XOV 25 

u%ovog' iit\ xov u^ovog uqu i6xiv. 

Aeyco drj oxl xevxQov i6x\ xfjg 6cpuiQug xb E 6rj- 

[16L0V. 

Mrj yuQ, uXX' ei dvvuxov, e6xco xevxQOv xrjg 6cpuiQug 



(vs) dicc zov a zov tisq\ -AivovLiivr\g 6qpcu'oag. 



30 



DE SPHAERA PROPOS. 12. 45 

Sit in sphaera circulus manens afiy, qui circuluni 
quendam ydfi qui in sphaera fertur semper bifariam 
secet, neuter autem eorum neque perpendicularis ad 
axem sit neque per polos sphaerae ductus; dico utrum- 
que circulorum ayfi yd(5 maximum esse. 

Sit enim communis eorum sectio recta $y\ haec 
igitur circuli yd(i diametrus est 1 ). Bifariam secetur ($y 
in puncto 8] hoc igitur centrum est circuli ydfi 2 ). 
Atque apparet punctum e semper et per omnem 
sphaerae conversionem esse in circuli afiy plano 3 ); 
iam dico punctum e in axe positum esse. 

Etenim si non est in axe punctum e, id in con- 
versione sphaerae circulum describet perpendicularem 
ad axem 4 ). Describat circulum e^rj. Quia punctum e 
semper in circuli afiy plano est et per circulum e^rj 
fertur, circulus igitur sffi semper est in circuli afiy 
plano. Atqui circulus e%rj perpendicularis estad axem 5 ); 
ergo circulus quoque a($y perpendicularis est ad axem, 
id quod contra hypothesim est; ergo fieri non potest, 
ut punctum e non in axe sit ; itaque est in axe. 

Iam dico punctum e centrum sphaerae esse. 

Etiamsi non est, tanien, si fieri possit, centrum 



FIGURA similis exstat in codicibus ABCE; a nobis addita 
est sphaerae et polorum significatio. 

1) Ex hypothesi (bifariam enim circuli se secant) et propter 
Eucl. elem. 1 def. 17. 18. Similis est demonstratio apud Theodos. 
sphaer. 1, 12. 

2) Apagogica ratione scriptor hoc effecisse videtur ex iis 
definitionibus quae nunc apud Euclidem primo elementorum 
libro leguntur 15. 6. 7. 

3) Ex hypothesi. 

4) Autol. propos. 1 huius (conf. o%6liov ve). 

5) Ibidem. 



46 



IIEPI EfcAIPAE. 



xb & Grjiietov, xal i7t£&v%&co r) ©E' a^cov ccqu iaxl 

xrjg Gcpaioag r) ©E sv&sla (ixdx£QOv yao xcov & E 

6t]{1£lcov £7tl xov d^ovog idnv). xal £7t£L hv GcpaCoa 

xvxXog £6xlv o TAB, aito ds 

xov xivXQOv xfjg GcpaiQag xov © 

£7tl xb xivxQOv xov TAB XV- 

xlov £7ti^£vxxat £v&£la r) 0E, 
(v<z) i) ®E aQa OQfrrj %6xl itQog xbv 

TAB xvxXov co6xs xal 6 TAB 

xvxXog OQftog £6xi itQog xr)v 

®E. xal £6xtv r) ©E d%cov 6 

T4B aQa xvxXog OQ&og £6xlv 

TtQog xbv d\ova, oit£Q ov% vitoxuxai' ovx aQa xb © 

6rj{i£iov xivxQOV £0x1 xrjg dcpaiQag. b^ioCcog dr) 6£L%oyL£v 

oxl ovdl aXXo xl %Xr\v xov E' xb E aQa 6r]\L£Zov 15 

xivxQOv £6x1 xrjg 6cpaCQag. 

Kal £6xlv lv ixaxiQco xcov ABT T/IB xvxXcov 
(v£) {iiyi6xog aQa £6xlv ixdx£Qog xcov ABT TAB xvxXcov. 




(v<s) Aia xov £' xov a xdiv GcpaiQLHaiv. 

(v£) *£lg Sia xov hevxqov , dia xb s' xov a xav acpaiQi-naiv. 20 



DE SPHAERA PROPOS. 12. 47 

sphaerae sit puncturu <0-, et iungatur recta fo; haec 
igitur axis sphaerae est (nam utrumque punctorum 
# s est in axe). Et quia in sphaera est circulus yd(5, 
et a sphaerae centro & ad centrum circuli ydfi iuncta 
est recta ds, haec igitur ad circulum ydfi perpendi- 
cularis est 1 ); ergo circulus quoque ydfi ad rectam &s 
perpendicularis est 2 ). Atqui ds axis est; ergo cir- 
culus ydji ad axem est perpendicularis, id quod contra 
hypothesim est; itaque punctum # non est centrum 
sphaerae. Ac similiter demonstrahimus nullum aliud 
punctum praeter s centrum esse; ergo punctum s cen- 
trum sphaerae est. 

Atqui 3 ) punctum s positum est et in circuli ccfiy 
et in ydfi plano\ ergo uterque circulorum ccfiy yd($ 
maximus est 4 ). 



1) Theodos. sphaer. 1 , 7 (conf. c%6Xiov vs). 

2) Conf. ea quae snpra p. 27, 3 adnotavimus. 

3) Haec extrema demonstrationis pars in brevius contracta 
est. Exspectabatur repetitio quaedam superioris propositionis 
(p. 44) his fere verbis composita: Asyco dr) oxi snccxsQog xcov 
ATE Pz/B kvhXcqv yi£yi6x6g sotiv. xovxo de cpczvsQov etc. 

4) Theodos. sphaer. 1, 6 (conf. 6%oXiov v£). 



AYTOAYKOY 
IIEPI EIIITOA&N KAI AY2E&N 

TO A. 



"O Q l. 

a' . Tcov dnXavcov a6tQcov al STtttoXaC ts xal dv- 5 
6sig al \Csv Xsyovtai dliq&ivaC, ai ds cpaivo\isvai. 

/3'. Tcov ds dXr\$ivcov scoa \isv s6tiv STtttoXr], 
otav a\ia tcp r)XCcp dvatsXXovti a6tQ0v ti 6vvavatsXXr\. 

y' '. 'Ecpa ds dv6tg, otav a\ia tcp r)XCcp dvatsXXovtt 
aatQov tc dvvrj. 10 

d'. r E67tsQia ds dvatoXrj, otav a\ia tcp r)XCcp dv- 
vovti a6tQ0v tu dvatsXXrj. 

s'. *E6%SQia ds dv6ig, otav d\ia tcp rjXCcp dvvovtt 
a6tQov ti 6vvdvvrj. 

%'. Tcov ds cpatvo\isvcov scpa [isv s6tiv S7tttoXrj, 15 
(a) otav TtQiv tbv rjXtov dvatslXat a6tQ0v ti TtQcotcog 
cpavfj dvatsXXov. 

£'. Ecpa ds dv6tg, otav Ttolv tbv rjXtov dvatslXat 
(§)a6tQov ti TtQcotcog cpavfi dvvov. 



(a) "Slaxs ocp&sv ccvaxiXXov (irjnixi oep&rjvat, dvaxiXXov. 
(fi) Olov snl xrjg xov %vvbg inixoXrjg, oxs nqaxov cpavrj. 



AUTOLYCI 

DE ORTIBUS ET OCCASIBUS 

LIBER I. 

Definitiones. 

1. Astrorurn fixorum ortus et occasus partiru veri 
partini apparentes dicuntur. 

2. Verus ortus matutinus est ; cum sol simul atque 
astrum aliquod oriuntur. 

3. Verus occasus matutinus est ; cum sol simul ori- 
tur atque astrum aliquod occidit. 

4. Verus ortus vespertinus est ; cum sol simul oc- 
cidit atque astrum aliquod oritur. 

5. Verus occasus vespertinus est ; cum sol simul 
atque astrum aliquod occidunt. 

6. Apparens ortus matutinus est ; curn ; antequam 
sol oritur ; astrum aliquod primo oriens conspicitur. 

7. Apparens occasus matutinus est ; cum ; antequam 
sol oritur ; astrum aliquod primo occidens conspicitur. 



DEFINITIONES: conf. in appendice ad hunc librum scho- 
lium 1. Diverso quodam ex fonte ea repetita sunt quae Theo 
Smyrnaeus in expositione rerum mathematicarum ad legendum 
Platonem utilium, de astronomia cap. 14 (p. 137 sq. ed. Hiller), 
de eodem argumento tradit. 

Autolycus. 4 



50 HEPI EIIITOA&N KAI ATEE&N A. 

7}'. 'E67t£QCu 6s £7tLToXr\, OTUV {ISTCC TO TOV T\XlOV 

dvvccc aCTQOV tl £6%uToog cpuvfj ccvut£XXov. 

&'. *E6it£Qicc ds dv6Lg, otccv \i£tcc to to^ t\Xlov 
(y) dvvccc cc0tqov Ti £6%uToog cpuvrj dvvov. 

IlQotccasLs. 5 

U . *Exu6T0V TOOV UTtXuVOOV U6TQQ0V UL £QOUL £7tLT0- 

XuC T£ xul 6v6£Lg aC cpuLvo\i£vuL v6t£quC d6LV tqov 
uXr\&LVcov, aC dh £6tI£qlul IttltoXuC T£ xul dv6£Lg al 

CpULVO[l£VUL 7tQ0T£QttC £L6L toov ccXr\&LVQov. 

"E6tqo iv xo6\ioo oqC^oov xvxXog 6 ABTA , 6 dh 10 
tov r\XCov xvxXog $£6lv £%£Tco oog tt\v AETZ, 

XUL £6TQ0 UVUToXlXCC IjL£V [l£Qrj TCC TtQOg TOO Z/, SVTLXCC 

61 tcc 7tQog toj B, xccl £6tqo vTto yr)v to AET r)[iL- 
xvxXlov, xccC, tot) r\XCov uvuT&XXovTog xutu t6 A 9 

CC6TQ0V TL TOOV UTtXttVQOV 6VVUVUT£XX£T00 TO A ' TOt) 15 

uqu A u6tqov r) ccXr\&Lvr\ £6tlv Sqou uvuToXr] ' X&yoo 

OTL r) CpULVO\L£Vr\ £7tLT0Xr\ TOV A U6TQ0V V6T£QU £6tIv 

Tr)g uXr\&Lvr)g. 
{$) Tov fisv ovv r\XCov uvuTiXXovTog xutcc to A, to 
(s) A u6tqov ov cpuCv£TUL uvuTdXXov, ovdh {ir)v toi) r\XCov 20 

T7\V TZA 7t£QLCp£Q£LUV 6La7t0Q£V0\l£V0V TO z/ U6TQ0V 
CpuCv£TUL UVUT£XX0V, OJg d£L%d"T\6£TUL V6T£Q0V \l£TCC 

(y) 'Slg (irjyJn oyd-fjvcu dvvov. 

(d) 'Ensidr) yccQ rcc nQor\yov\.isvc arj^sicc nQorsQOv uvccrsXXsi, 
oacc ccv Xd^cofisv snl rr)g TZA nsQicpSQsCccg, xa-fra nQosiaiv 6 25 
r]liog, uqo rov A ccvccrsXXsi, rovrsari rov z/ (avvccvccrsXXsL yccQ 
rovro rop A), ccsl ovv 6 7]Xiog nQo rov zJ uvccrsXXsf rcc yccQ 
nQOTqyovybSvcc nQorsQOv ccvccrsXXsi y.ccl nQorsQOv dvvsi, nQor\yov- 
(isvov ds ro A. 

(s) Jicc rb v.ccrccvyocgsa&cci. 30 

PROPOS. 1: conf. in appendice ad hunc librum schol. 2. 



DE OKTIBUS ET OCC. I. PROPOS. 1. 51 

8. Apparens ortus vespertinus est ; cum ; postquam 
sol occidit, astrum aliquod postremo oriens conspi- 
citur. 

9. Apparens occasus vespertinus est, cum, post- 
quam sol occidit, astrum aliquod postremo occidens 
conspicitur. 

Propositiones. 
I. Omnium astrorum fixorum matutini ortus oc- l 
casusque, qui apparent, posteriores sunt quam veri 7 
vespertini autem ortus occasusque, qui apparent, 
priores quam veri. 

Sit in mundo circulus horizon afiyd, solis autem 
circulus positionem habeat velut asyt,, et sint partes 
orientales versus d 7 occidentales 
autem versus /3, et sit sub terra 
semicirculus asy, et sole in a 
oriente simul astrum aliquod 




fixum d oriatur; ergo astri d 

est verus ortus matutinus *) ; 

dico astri d ortum, qui apparet, 

posteriorem esse quam verum. 

Sole igitur jn puncto a oriente, astrum d oriens 

latet 2 )-, neque vero, dum sol semicirculum ytja per- 

currit ; astrum d oriens apparet ; ut posthac demon- 

strabitur 3 ); ergo quibusdam diebus praeteritis astruni 



FIGURA similis exstat in codicibus ACE. 

1) His verbis scriptor cum definitionem quam supra posuit 
secundam citat tum in figura, quae adscripta est, eum ortum 
adumbratum esse significat. Similes citationes infra passim 
leguntur. 

2) Conf. c%6lio v d et in appendice 3. 

3) Vide infra p. 56, 5 — 16. 

4* 



52 nEPI EIHTOA&N KAI atse^n a. 

ccqcc TLvag r]{i8Qag xb A cc6xqov cpavr)6exaL dvaxiXXov 
xov r)XCov diel&ovTog xr]XLxavxr]v TteQMpioeiav co6xe xb 
A cc6xqqv ixcpevyetv xag xov r)XCov avydg. cpatvi^ftco 
ovv TtQOJTOjg xov r)XCov bvxog 7tQOg xco E' XOV CCQa 
r)XCov bvxog TtQog xco E, xov A cc6xqov i6x\v r) cpai- 5 
vo{ievrj ecoa dvaxoXr). %a\ i%e\ 6 r\Xiog TtQoxeQov i%\ 
xb A %aQayCyvexat r)%eQ i%\ xb E, dXX' bxav [iev i%\ 
xb A TtaQayevrjTai, xov z/ cc6tqov i6x\v (r)y ecoa alrj&Lvr) 
i%LXoXr)^ bxav de i%\ xb E, r) ecoa cpaLvopivi] i%LXoXr\, 
r) ccQa cpaivo{ievi] v6xeQ0v i6xL xr)g aXrj&Lvfjg. 10 

UdXiv dr), xov r)XCov dvaxiXXovxog %axd t6 A, 
cc6tqov ti xcov d%Xavcov dvvixoo xb B' xov aQa B 
cc6tqov r) aXr\$Lvr) eooa i6x\ dv6ig' Xiyoo dr) bxt r) 
cpaivo^ivr] v6xeQ0v i6xi xfjg dXrj&tvrjg. 

Tov pev ovv r)XCov dvaxiXXovxog xaxd xb A, xb 15 

(s) B cc6xqov ov cpaCvexat dvvov, ovde [ii]v xov r)XCov xr)v 
rZA jteQtcpiQetav dta%OQevo^iivov, xb B cc6xqov cpaC- 

i£)vexat dvvov [iexa aQa xtvdg r)[ieQag xb B a6xQ0v 
cpavr\6exat dvvov, xov r)XCov dteX&ovxog xr]Xt%avxr]v 
iteQLcpiQetav co6xe xb B incpevyetv xdg xov r)XCov avydg. 20 
izcpevyixco ovv xb B a6xQov xdg xov r)XCov avyag 
TtQcoxcog xov r)XCov bvxog %Qog xco E' xov aQa r)XCov 
bvxog TtQog xco E, xov B cc6xqov i6x\v r) cpatvo^iivr] 
ecpa dv6tg. %a\ i%e\ %QoxeQOv 6 r)XLog i%\ xb A TtaQa- 
yCyveTat r\iteQ i%\ xb E, dXX' bxav pev i%\ xb A %aQa- 25 
yivr]Tat, tov B a6TQ0v i6Ttv r) dXrj&tvr) ecoa dv6tg, 
OTav de i%\ ro E, r) cpatvoytivr]) r) aQa cpatvo^tivr] 
v6TeQ0v i6Tt Trjg dXr]&Lvr)g. 



(g) 'EntLdrj vnsq yr\v xb FZA i\\x,iy.vy1iqv . 

(£) TOVTSCTL 7TQ0 ZOVTOV [17} CpCCLVOpLEVOV dvVOV, XOXS 71QCO- 30 

xov cpccvfj dvvov. 



DE ORTIBUS ET OCC. I. PROPOS. 1. 53 

S oriens apparebit, cum sol tanturu arcum percurrerit, 
ut astrum d solis radios effugiat. Iam appareat priino, 
cum sol ad punctum s pervenit; ergo, cum sol est ad 
punctum s y astri d est apparens ortus matutinus 
(def. 6). Et quia sol prius ad a quam ad s pervenit, 
et eo ternpore, quo ad a pervenit, astri 8 est verus 
ortus matutinus, quo autem ad s, apparens ortus ma- 
tutinus, apparens igitur ortus posterior est quam verus. 
Iam rursus, cum sol in a oritur, astrum quoddam 
tixum /3 occidat; ergo astri /3 est verus occasus matu- 
tinus (def.3)] dico igitur occasum, qui apparet, poste- 
riorem esse quam verum. 

Sole igitur in a oriente, astrum /3 occidens latet; 
neque vero 7 dum sol semicirculum yt,a percurrit, 
astrum /3 occidens apparet l ) ; 
ergo quibusdam diebus praeter- 
itis astrum /3 occidens appare- 
^bit, cum sol tantum arcum per- 
currerit, ut astrum /3 solis radios 
effugiat. Iam astrum /3 solis 
radios primo effugiat, cum sol 
ad punctum s pervenit; ergo, 
cum sol est ad punctum s } astri |3 est apparens oc- 
casus matutinus (def 7). Et quia sol prius ad a 
quam ad s pervenit, et eo tempore, quo ad a per- 
venit, astri /3 est verus occasus ruatutinus, quo autem 
ad s, apparens ; occasus igitur apparens posterior est 
quam verus. 




1) Est enim semicirculus y£a eupra terram. AURIA in 
marg. p. 4 (conf. g%61iov ?). 



54 nEPI EIHTOA&N KAI atse.qn a. 

JJdliv dr\, tov r\XCov dvvovtog xata tb T, ccCtQov 
ti tcjv d%Xavo3v dvatsXXstco tb A' roi) dga A datoov 
S6t\v 7} EGitEQia dXr\%Lvr\ dvatoXrj' Xsyoo dr) oti r) 
cpaLvo\isvr\ %QotSQOV s6tL tr)g aXr\$Lvr\g. 

Tov \isv ovv r\XCov dvvovtog xatd tb T, tb z/ 5 
(rj) a6tQov ov cpaCvstaL dvatsXXov, ovds \ir\v tov r\XCov 
\ista%s%toox6tog sig tb TZA r)\iLXvxXLOv tb z/ a6tQ0v 
(paCvstaL dvatsXXov %q\v aQa tbv t\Xlov s%\ tb T 
7taQaysvs6&aL tb z/ a6tQov cpavr\6staL dvatsXXov. (paL- 
vs6&G) ovv s6%dtoog tov r)XCov ovtog %Qog ta H' tov 10 
aQa r\XCov ovtog %Qog too H, tov z/ a6tQov s6t\v r) 
cpaLVO\isvr\ s6%SQCa dvatoXrj. xa\ s%s\ TtQotEQov o 
rjXtog s%\ t6 H TtaQayCyvstaL r\%SQ s%\ tb JT, aXX' 
otav \isv STtl tb H %aQaysvr\taL, tov z/ a6tQov s6t\v 
r) s6%SQCa cpaLVO{isvrj i%LtoXr\, otav ds i%\ tb T, ^15 
dXrj&Lvrj, i\ aQa cpaLVO\tivr\ %QotSQOV s6tL trjg aXr\- 
&Lvr)g. 

ndXLV dr\, tov r)XCov dvvovtog xatd tb T, a6tQ0V 
tt toov d%Xavoov dvvitco tb B ' ro£> aQa B a6tQov 
s6t\v r\ s6%EQCa aXr\$Lvr\ dv6Lg' Xiyco otL r) cpaLVO\iivr\ 20 
%QOtSQOV s6tL tfjg dXr\^Lvr\g. 

Tov [isv ovv r\XCov dvvovtog xata tb T, tb B 
a6tQov ov cpaCvstaL dvvov, ovds \ir\v tov r)XCov \ista- 
%s%tooxotog slg tb TZA r\\iLXvxXLOv, tb B a6tQ0v 
cpaCvstaL dvvov %q\v aQa tbv rjXiov i%\ tb T %aQa- 25 
ysv£6d-aL t6 B a6tQov cpavr\6staL dvvov. cpaLvi6&oo 
s6xdtcog tov r\XCov bvtog %Qog too H' tov aQa r\XCov 
ovtog %Qog too H, tov B a6tQov s6t\v r) s6%SQCa 
cpaLvo\LEvr\ dv6ig. xa\ s%s\ %QOtSQOv b r\XLog s%\ tb 



(rj) 'Ensidri txv avyccC tlaiv vnsQ yfjv. 30 



DE ORTIBUS ET OCC. I. PROPOS. 1. 55 

Iam rursus ; cum sol in y occidit, astrum quoddam 
fixum d oriatur; ergo astri d est verus ortus vesper- 
tinus (def 4); dico igitur ortum, qui apparet ; priorem 
esse quam verum. 

Sole igitur in y occidente ; astrum d oriens latet ; 
neque vero ; cum sol in semicirculum ytp. transiit, 
astrum d oriens apparet 1 ); ergo ante, quam sol ad 
y pervenerit ; astrum d oriens apparebit. Iam postre- 
mo appareat, cum sol est ad 
r\; ergo cum sol ad r\ est, astri 
d est apparens ortus vesperti- 
Y nus (def. 8). Et quia sol prius 
ad r\ quam ad y pervenit, et 
eo tempore, quo ad r\ pervenit, 
astri d est apparens ortus ve- 
spertinus, quo autem ad y, verus, 
apparens igitur ortus prior est quam verus. 

Iam rursus ; cum sol in y occidit, astrum quoddam 
fixum /3 occidat; ergo astri /3 est verus occasus vesper- 
tinus (def. 5); dico occasum, qui apparet, priorem esse 
quam verum. 

Sole igitur in y occidente, astrum /3 occidens la- 
tet ; neque vero, cum sol in semicirculum y£a trans- 
iit, astrum /3 occidens apparet; ergo ante, quam sol 
ad y pervenerit, astrum /3 occidens apparebit. Po- 
stremo appareat, cum sol est ad ^; ergo, cum sol est 
ad r\, astri /3 est apparens occasus vespertinus (def.9). 
Et quia sol prius ad 7] quam ad y pervenit ; et eo 




1) Solis enim radii adhuc supra terram sunt. AURIA in 
marg. p. 4 (conf. 6%6Xiov 77). 



56 nEPI EIHTOA^N KAI AT2E&N A. 

H TtuQuyCyverut r\7t6Q btiI ro r, ccXX' otuv {isv inl to 

H 7tuQuyevr\TUL, rov B u6tqov Igtiv r\ e67t6QCu cpuL- 

vo{ievr\ dv6ig, otuv de i«l t6 JT, r) uXr\$Lvr\ , r\ uqu 

cpuLvo\ievr\ TtQOTBQa e6t\v Trjg uXr\$Lvr\g. 
(#) "E6tco tu uvtu' Xeyco otl ovde ti\v TZA TteQLcpe- 5 

qbluv dLUTtoQevo^ievov tov r\XCov (pUVr]66TUL TO A 

u6tqov uvaTeXXov. 

'AvuTeXXfaco yuQ 6 rjXtog xutu 
{i)tb H. xul eitel to H 7tQOT6Qov 

uvuTeXXet rjjteQ to A, to de A 

TCO A 6VVUVUT6XX6L, 7tQOT6QOV UQU 

r6 H uvuTeXXeL r\7t6Q to A' to 

A UQU OV CpUVr\66TUL. C06T6, OTUV 
TT\V rZA 7t6QLCp6Q6LUV 6LU7tOQ6V- 

r\Tut 6 rjXLog, ov cpuiveTUL to d 15 

uvuTeXXov. 

/3'. "EXU6T0V TGJV UTtXuVGJV U6TQCOV UTti 6GJUg CpUL- 

vo{i6vr\g 67tLToXr\g ixu6Tr\g vvxTog oqutul eTtLTeXXov 
fi6%QL Trjg 667t6QLag cpuLvo\L6vr\g 67tLToXr\g, iv uXXcp de 
XQovgj ov&evL, xul 66tlv 6 %Qovog iv co oqutul to 20 

U6TQ0V 67tLTeXX0V iXu66C0V r\[lL60Vg ivLUVTOV. 

"E6TGJ iv xo6\jlgj oql^gjv xvxXog 6 ABTA, o de 
tov r)XCov xvxXog %*66lv ixeTco cog Tr\v AETZ, xaC, 
tov r\XCov uvuTeXXovTog xutu to A^ u6tqov tl tcov 
artXavGov 6vvavateXX6Tco [xutu] toA' tov uquA u6tqov 25 
i6Ttv r) ecpu uXr\&Lvr\ iTttToXfj. v6t6qul de 6l6lv ul 




(<&•) 'Ev 06<p yccg 6 rjXiog tr)v TZA nsQtcpsQSLav dcanoQSv- 
stai, xb A ovdsTtm dvstsilsv, snsidrj ov8s xo A' ndvta yaQ ta 
STtl trjg rZA nsQicpsQSiag 7tQ0 tov A dvatsXXsi ag 7tQor\yov- 
[isva, tavta ds dianoQSvstai 6 rjXiog. 30 

(t) Kal 7tQor}yov\isvov tb H nQoavatsllsi. 



DE ORTIBUS ET OCC. I. PROPOS. 2. 57 

tenipore, quo ad rj pervenit, astri /3 est apparens oc- 
casus vespertinus, quo autem ad y 7 verus, apparens igi- 
tur occasas prior est quam verus. 

Sint eadem supposita, dico ne eo quidem tempore, 
quo sol semicirculum yt,a percurrit, astrum d oriens 
appariturum esse *). 

Oriatur enim sol in puncto rj. Et quia rj prius 
oritur quam a 2 ), simul autem cum a astrum d oritur 3 ), 
prius igitur r\ quam d oritur; ergo d non apparebit. 
Itaque 4 ) eo tempore, quo sol semicirculum y£a per- 
currit ? astrum d oriens non apparet. 

II. Unumquodque astrum fixum omnibus noctibus, 2 
quae sunt ab ortu apparente matutino usque ad vesper- 
tinum ortum apparenteru, oriens conspicitur, nullo 
autem alio tempore, estque tempus ? quo astrum oriens 
conspicitur, minus dimidio anno. 

Sit in mundo circulus horizon afiyd y solis autem 
circulus positionem habeat velut aey£, et sole in a 
oriente simul astrum aliquod fixum d oriatur; ergo 
astri d est verus ortus matutinus (def. 2). Sed appa- 



1) Hanc extremam primi theorematis partem cum sua de- 
monstratione inter scholia subiungit Auria p. 6. Idem ad 
ipsam propos-itionem illud insuper scholium expressum e 
Graeco %• addit, quod nos in appendice (4) repetemus. 

FIGURA in hanc propositionem altera secundum verba 
scriptoris nostra coniectura delineata est. Apud Auriam p. 6 
notae geometricae similiter atque in priore figura sunt dispositae, 
et in semicirculo y£u super s addita est littera H, id est &. 

2) Antegreditur enim ipsum cc, ideo prius oritur. AURIA 
in marg p. 6, quibus in verbis c ipsum a' est accusativus, et 
subiectum intellegitur rj (conf. 6%6liov i). 

3) Ut positum est. IDEM. 

4) Conclusio scriptoris valet, quamcunque positionem r\ 
habet in semicirculo ar\y. 

PROPOS. 2: conf. libri secundi propos. 4. 



58 nEPI EniTOAP-N KAI atsepn a. 

{iu) cpaivoyiEvai rcov dXr\d-Lvcov. e6rco dr\ rov z/ acrgov 

r t cpaLvopevr\ ecpa eTtLroXr) toi) r\XCov ovrog TtQog rcp E. 

v7toxeL0d-co dr) TtdXtv tov z/ dvareXXovrog 6 r\Xtog 8v- 

vcov nara rb JT' tov aaa /1 a6roov e6rlv r) eGTteoLa 

aXrj&Lvr) e%LToXr\. TtqoreoaL 8e ei6Lv al cpaLvo^evaL 5 

rcov ccXrj&Lvcov. e6rco ovv tol> z/ &6tqov r e6%e^Ca 

(ip)cpaLvo{ievr\ e6%drr\ e%LroXr\ rov r)XCov oVto^ %Qog rcp 

(i>y)H. tov [iev ovv r\XCov 8La%OQevo[ievov rdg AE HT 

(iS)%eQL(peQeCag ov cpaCveraL rb z/ cc6tqov e%ireXXov, ovde 

(ls) {ir\v rov r\XCov rr\v TZ.A TteQtcpeQeLav 8La%oQevo[ievov 10 

cpavr\6eraL rb z/ cc6tqov e%Lre'XXov' y.6vr\v aQa rr\v 

EH dLa7toQevo[ievov tov rjXCov cpaCveraL rb z/ cc6tqov 

dvareXXov. xal e6TLv 6 %Qovog ev cp 6 i\XLog rr\v EH 

TteQLcpeQeiav 8La%0QeveraL eXa66cov r\[iC6ovg evLavrov 

(eXa66cov yaQ e6TLv r) EH TteQtcpeQeLa r)[iLxvxXCov). 15 

y ' . "Ena6rov rcov d%Xavcov cc6tqcov d%b ecoag cpat- 
vo\iivr\g 8v6ecog eyca6rr\g vvxrbg OQccraL dvvov \ie%QL 
rr)g e6%e^Cag cpaLVO\ievr\g 8v6ecog, ev dXXco 8e %qovco 

(lCc) ToVtSGtLV SGtCO tOV A CCGtQOV J\ CpCCLVO[lSVr\ TtQCOtrj lltL- 

toXr) tov tjUov bvtog nQog tcp E, £W, tov tjXlov ysvo{isvov nQog 20 

tCp E, tOtS nQCOtCOg CpCCvfj tOV A CCGtQOV 7\ SCpCC CpCCLVOLLSVrj $7tL- 
tolr]' (JLTjSs 71C0 tOV rjlLOV 7tCCQCCySV0[lSV0V STtl tb E GTjflSLOV, ccXX' 

s"tL inl tr)g AE nsQicpsQsCccg ovtog (ir) cpaCvsG&ccL tov J ccGtQov 
%r)v scpccv cpccivofisvrjv snLtoXr\v. 

(t{3) 'Slg nQor\yovfisvr\ tov H. 25 

(ty) 'EnsLSr) yccQ b rjXiog, tr\v AE nsQLcpsQSLctv dLsX&cov kccl 
snl to E GrjLLSLOv ncxQccysv6[isvog, tots nQcotcog noLst tcp d 
ccGtQcp tr\v scoccv cpccLvofisvrjv snLtoXr\v, tov ccqcc r)XCov tr)v AE 
nsQLcpsQSLCcv 8lsq%0[isvov kccl [irjnco v.cctcc tb E Grjfisiov ysvo- 
(isvov , ov noist tco d ccctQco tr)v scpccv cpccLVO[isvr\v ccvcctoX^v 30 

COGtS tr]V AE nSQLCpSQSLCCV SlSQXO[ISVOV XOV r\Xi0V OV CpCCLVStCCL 

tb A ccGtQOv snLtsXXov. bfxoCcog Ss ovSs tr\v m Slsqxo(isvov 
tov r\Xiov cpaCvstccL tb A ccGtQOv dvcctsXXov Slcc tcc ccvtd. 

(lS) 'AXX' otav cv (jLnXr\QcoGr\ ccvtccg. 

(ls) 'EnsiSr) vnsQ yr)v. 35 



DE ORTIBUS ET OCC. I. PROPOS. 3. 59 

rentes ortus matutini posteriores sunt quam veri 1 ). Sit 
igitur astri d apparens ortus niatutinus, cum sol est 
ad £. 2 ) Iam rursus supposituni sit ; cum d oritur, so- 
lem occidere in puncto y\ ergo astri d est verus or- 
tus vespertinus (def. 4). Sed 
apparentes ortus vespertini prio- 
res sunt quam veri 3 ). Sit igitur 
^astri d postrenms, qui appareat, 
ortus vespertinus, cum sol est 
ad rj. Dum igitur sol arcus ae 
r\Y percurrit, astrum d oriens la- 
tet 4 ) ; neque vero, dum sol semi- 
circulum ytp. percurrit, astrum d oriens apparebit 5 ); 
ergo solus arcus srj restat, quem cum sol percurrit, 
astrum d oriens apparet. Et tempus, quo sol arcum 
erj percurrit, minus est dimidio anno (nam arcus er\ 
minor est semicirculo). 

III. Unumquodque astrum fixum omnibus noctibus, 3 
quae sunt ab occasu apparente matutino usque ad 
vespertinum occasum apparentem, occidens conspicitur, 




FIGURA non differt a priore in propos. 1, ac similis ex- 
stat in codicibus AC. In E nota r\ posita est inter £ et cc, et 
omissa est s. 

1) Autol. propos. 1 huius. 

2) Conf. 6%6lt,ov lcc et in appendice 5. 

3) Autol. propos. 1 huius. 

4) Sunt enim solis radii adhuc supra terram; videbitur 
itaque d astrum oriri, cum sol ipsas circumferentias ccs et yrj 
omnino pertransiverit. AURIA in marg. p. 7. Conf. 6%6licc id 
et ty (in appendice schol. 6). 

5) Est enim semicirculus y£cc supra terram. IDEM (conf. 
c%6liov ls). 



60 nEPI EIHTOA&N KAI atee^n a. 

ov&svC, xal s6tlv 6 %Qovog iv cp t6 cc6tqov OQtcTai 
dvvov iXa66cov r\[iC6ovg iviavrov. 

"E6TCQ iv x66{tcp oqC^cov 6 ABTA , lcodiaTtbg 8s 6 
AETZ, Kal s6tco vitb yrjv tb AET r\[iL%vxXLOv, naC, 
roi) r\XCov dvarsXXovTog xarcc tb A, cc6tqov tl tcqv 5 
ccTtXavcov dvvsrco to B' xov aQa B cc6tqov £6tIv dXr\- 
&Lvr\ scpa dv6Lg. v6TSQaL ds sl6lv al cpaLv6[isvaL rcov 
alrj&LVCov. S6TC0 ovv tov B cc6tqov r) cpaLVO\isvr\ 
TtQcotcog scoa dv6Lg tov r)XCov bvrog itQog rcp E. JtdXtv 
dr) tov B cc6tqov dvvovtog v%o%sC6^cq 6 r\XLog dvvcov 10 
naTcc to T' to£> B aQa cc6tqov i6rlv r\ s6itSQCa dXr\- 
{i<z)&Lvr\ dv6Lg. TtQOTSQat ds sl6lv al cpaLvofisvaL tcov 
dXrj&Lvcov. s6tcq ovv Tot) B cc6tqov r) cpaLVO\isvr\ 
i6%aTr\ s67tsQCa dv6tg %ov r)XCov bvrog TtQog rcp H. 
(i£)tov (isv ovv r\XCov rag AE HT TtSQLCpSQsCag dLaTto- 15 
(irj) qsvo^lsvov ov cpaCvsraL to B cc6tqov dvvov, ovds \ir\v 
tov r)XCov rr)v TZA TtSQLCpsQSLav dLa7tOQSvo\isvov to 
B cc6tqov cpaCvsrat dvvov' \iovr\v aQa rr\v EH tcsql- 
cpSQSLav tov r\XCov dLa7tOQSvo\isvov t6 B cc6tqov cpa- 
vr\6sTaL dvvov. xal s6tlv 6 %QOvog iv cb 6 r\Xiog rr\v 20 
EH TtsQLCpsQSLav dLaitOQSvsraL iXa66cov r\\iC6ovg ivt- 
avTOv. 

d'. Tcov djtXavcov cc6tqcqv o6a \isv i6Ttv iitl to^ 
^cpdLaxov xvkXov ditb scpag cpaLvo\isvr\g i%LToXr\g scpav 
cpaLVO[LSvr\v Sv6lv TtOLslraL OLa r\\iC6ovg ivLavrov, rcc 25 
ds TtQog aQKTovg dtd 7tXsCovog, %d ds itQog \is6r\\ifiQCav 
6Y iXa66ovog. 



(ts) zlicc xb cc'. 

(t£) "Eti yccQ ocvyccC sfeiv, ccXX' otolv 7tXr]Q(6or] avTocg. 

(ir}) 'Ensidq v7t£Q yr\v. 30 

FIGURA non differt a superiore, ac similis exstat in A C E. 




DE ORTIBUS ET OCC. I. PROPOS. 4. 61 

nullo auteui alio tenipore, estque tenipus ; quo astruni 
occidens conspicitur, minus diinidio anno. 

Sit in mundo horizon a(5yd, zodiacus autem asy£, 
et sit sub terra semicirculus asy, et sole in a oriente 
astrum aliquod fixum /3 occidat; ergo astri /3 est 
verus occasus matutinus (def 3). Sed apparentes oc- 
casus matutini posteriores sunt quam veri 1 ). Sit igitur 
astri /3 priruus, qui appareat, 
occasus matutinus, cum sol est 
ad e. Iam rursus ; cum astrum 
\# (} occidit ; suppositum sit solem 
occidere in y\ ergo astri /3 est 
verus occasus vespertinus (def.5). 
Sed apparentes occasus vespertini 
priores sunt quam veri. Sit igitur 
astri /3 postreinus, qui appareat ; occasus vespertinus, 
cum sol est ad r\. Dum igitur sol arcus ae rjy per- 
currit ; astrum /3 occidens latet 1 )^ neque vero ; dum sol 
semicirculum y£a 2 ) percurrit ; astrum /3 occidens ap- 
paret; ergo solus arcus ew restat ; quem cum sol per- 
currit, astrum /3 occidens conspicietur. Et tempus ; 
quo sol arcum srj percurrit ; minus est dimidio anno 3 ). 

IV. Astrorum fixorum ea quae sunt in circulo zo- 4 
diaco ab ortu matutino apparente occasum matutinum 
apparentem faciunt post dimidium annum ; ea autem 
quae sunt ad septentriones intermisso maiore ; ea de- 
nique quae sunt ad meridiem minore temporis spatio. 

1) Apparebit astrum f3 occidere, cum sol circumferentias 
as et r\y omnino pertransiverit. AURIA in marg. p. 9 (conf. g%61. ig). 

2) Est enim supra terram. IDEM (conf. 6%oiiov irf). 

3) Circumferentia enim srj semicirculo minor est. IDEM 
extremo contextu huius theorematis. 



62 nEPI EIHTOA&N KAI AT2E&N A. 

"E6XC0 £V X06\IC0 OQL^COV XVXXog 6 ABTA , 6 de 

xov r\Xiov xvxXog &e6lv iyixco cog xr\v AETZ, xa\ 
e6xco V7tb yrjv xb AET r\\iLXvxXLOv ^ xa\ xov r\Xiov 
dvaxiXXovxog xaxa tb A atitoa XLva xcov dnXavcov 
6vvavaxeXXixco td B A z/, tb \iev A i%\ xov £<pdLa- 5 
{i&)xov, tb de B itobg aoxtovg, tb de A itobg \xe6r\\i^Qiav' 
Xiyco oxl xco \iev A a6XQ<p aitb ecoag cpatvo\iivr\g i%L- 
xoXrjg ecoa cpaivo\iivr\ dv6ig yiyvetaL Slcx r\\ii6ovg ivi- 
avxov, tco 6e B dLcc nXeiovog, xco 8e z/ 6Y iXa66ovog. 

'E7te\ yccQ xco r\Xico dvatiXXovtL xata tb A a6toa 10 
tLvd xcov ditXavcov 6vvavatiXXeL xcc B A z/, xcov daa 
B A z/ a6xQcov el6\v ai ecoaL dXr\&Lva\ iitLXoXai. v6xe- 
qov di ei6LV ai <paLvo\ievaL xcov dXr\$LVcov. e6tco6av 
ovv xcov B A z/ a6tQcov ai cpaLvo\ievaL ecoaL iztLtoXal 
xov r\Xiov bvtog itobg tco E. xa\ iite\ td in\ xov 15 
xcov ^codicov xvxXov a6XQa td xata did\iexQOv bvta 
xatd 6v%vyiav dvatiXXeL te xa\ dvvst, xov aQa A 
dvvovxog tb xatd dLa\iexQov avtco tb T dvaxiXXei, 
{y)xa\ e6xaL tb \iev AET r\\xLxvxXLOv viteQ yfjv tb 
de AZT vTtb yrjv. xa\ toivvv btav tb A dvvr\ 20 
xa\ tb T dvatiXXr\ xa\ 6 rjXtog TtQog xco T yivr\xac 
[dvaxiXXec xaX] , e6xaL xov A cc6xqov r\ dXr\&Lvr\ 

(l&) Tovxsgxl ^oqsloxsqov xov A xb B. xovxsgxl voxlcoxsqov 
xov A xb z/. 

(%) 'Ensidr) v.a.1 ytuxcc nuQuXXr\Xcov kvhXcov, ovg yQcccpovGi xc\ 25 
GrjfiSLd, xb xs A uvuxsXXov Svvsl %ul xb T dvvov uvuxsXXsl, %u\ 
sv ogco s-hccxsqov xr)v tdiav TtSQLcpsQSLCCv dcanoQSvsxuL, 6 ^coSlu- 
nbg xr\v sfinuhv &sglv s6,sl, ku\ o r\v vnb yr)v r)(iLKv>iXLOv vnsQ 
yr)v sgxul. 

FIGURA prior similis exstat in codicibus AC; in E repe- 
tita est figura propositionis 3, sed littera £ propius a posita. 

1) Scilicet sit § borealius et d meridionalius ipso a. AU- 
RIA in marg. p. 10 (conf. g%6Xlov l&). 



DE ORTIBUS ET OCC. I. PROPOS. 4, 



63 




Sit in mundo circulus horizon afiyd, solis autem 
circulus positionem habeat velut asy^, et sit semi- 
circulus aey sub terra, et, cum sol in puncto a ori- 
tur, astra quaedam fixa /3 a d 
simul oriantur, et quidem astrum 
a in zodiaco, /3 ad septentrio- 
nes, d ad meridiem 1 ); dico astri 
a ab ortu matutino apparente 
occasum matutinum apparentem 
fieri post dimidium annurn, astri 
autem /3 intermisso maiore, de- 
nique astri d minore temporis spatio. 

Quoniam eniin, cum sol in a oritur, astra quae- 
dam fixa /3 a d simul oriuntur, astrorum igitur /3 a d 

sunt veri ortus matutini (def.2). 
Sed apparentes ortns matuthii 
posteriores sunt quam veri 2 ). 
Sint igitur astrorum /3 a d 
apparentes ortus matutini eo 
teinpore, quo sol est ad s. 
Et quia in circulo zodiaco 
astra iuxta diametrum op- 
posita coniugate et oriuntur 
et occidunt 3 ), astro igitur a occidente astrum y ei 
oppositum oritur 7 ac semicirculus aey super terram 7 
semicirculus autem a^y sub terra erit 4 ). Itaque, cum 
a occidet et y orietur et sol ad y erit, astri a fiet 

2) Autol. propos. 1 huius. 

3) Eucl. phaenom. 6. 

FIGURAM alteram secundum verba scriptoris nostra con- 
iectura addidimus. 

4) Conf. 6%6liov % et in appendice 7. 




64 nEPI EIIITOA&N KAI AT2E&N a. 



a/.v- 



ecpa dv6ig. v6reQai de el6tv al cpatv6[ievat rcov ahy 
(na^&ivcov. e6rco ovv rov A aCroov r) cpatvo[ievr] ecpa 
(x|3) Sv6tg rov r)Xiov ovrog JtQog rcp Z. %al iitel rerr]Qr]rai 
ra a6roa iv i6cp %q6vcq i%cpevyovra rag rov r)Xiov 
avydg, i6r\ aQa itirlv r) AE TtSQicpeQSia rrj TZ 7teQi- 5 
cpeQeCa. %otvr) de r) TE' bXr] aQa r) AET okrj rfj ETZ 
itirlv i'6r]. r)[ii%v%Xtov de icriv rb AEZ ' r)[it%v%Xiov 
(ny) aQa iarl %a\ rb ETZ. %al diaTtoQeverat 6 rjXtog rb 
ETZ r)itt%v%Xtov iv r)\ii6et iviavrov {i%eit)r]7teQ %al 
ro AET)' rcp aQa A adrQcp ditb ecpag cpacvo^evrjg 10 
iTtiroXr\g ecoa dv6ig yCyverai cpatvoytevr] dtd r)(ii6ovg 
iviavrov. %al iitel ra B A z/ a6rQa d[ia dvareXXet, 
rb [iev B' rov A v6reQov dvvet, rb de z/ rov A tiqo- 
reQOv dvvet. dtd dr) rovro cpaveQov ort rcp [iev B 
dtd TtXetovog, rco de A 6V iXa66ovog. 15 



(xa) Sacprjvsiag ds %kqlv xov A dvvovxog -Accxd xo ©, xo 
T dvccxsXXsxat hcctcc xo K, hccl s%sxat &S6LV 6 ^atSLccnog xr\v 
KN©' s6xocl dr) xo ycsv AET 7][iixvhXlov , d>g xo ©NK, vksq 
yr)g (pccLvopsvov, r) ds AE S6xccl d>g r) ©N, r) ds Xoinr) %6xcci 
d>g r) XoLnr) vno yrjv. xal xoivvv xov A dvvovxog naxcc xb ©, 20 
xov ds T sncxsXXovxog y.ccxd xo K, nal ysvopsvov xov r)Xiov 
TtQog xco T, X0VX86XL nQog xcp K (xo yaQ T snl xo K nccQccys- 
ve6&a>), 86xaL xov © a6TQ0v r) scpcc dXrj&Lvr) 8v6ig, xovxs6xl xov 
A r) dXrj&Lvr) dv6Lg' xo yaQ A STti xo E TtccQsysvsxo. s6xccl ovv 
xov ©, X0VXS6XL xov A, r) cpuLvofisvr] 8(pa 8v6Lg xov r)XCov ovxog 25 
TtQog x(p M, xovx86xl 7tQog x<p Z (r) yaQ KM 7tSQL(psQSLtt r) TZ 
S6tlv)' u>6xs xov A r) scpcc (ptttvo\i,svr\ 8v6Lg S6xl xov r)XCov OVTOg 
TtQog X(p Z. 

(%(3) Tovxo ovy, ttKQLfioog, dXXcc ycccxtt xo 6vvsyyvg. 

(y.y) /JianoQEVoiisvov ds ccvxov xr)v ETZ, yivsxtti xov A 30 
cc6tqov r\ xs scpcc cpttLVO(isvr) E7tLToXt) hcci r) scpcc (pccivofisvrj 
dv6ig, co6X8 sv r)fii68L sviavxov yivsxcci. 



1) Autol. propos. 1 huius. 

2) Conf. 6%oXiov kcc et iu appendice 8. 



DE ORTIBUS ET OCC. I. PROPOS. 4. 



65 




verus occasus uiatutinus. Sed apparentes occasus 
matutini posteriores sunt quam veri 1 ). Sit igitur astri 
a apparens occasus matutinus 
eo tempore quo sol est ad £ 2 ). 
Et quia observatum est astra 
aequali tempore solis radios 
effugere 3 ), arcus igitur as arcui 
y£ aequalis est. Communis est 
autem arcus ys\ totus igi- 
tur asy toti syt, aequalis est. 
Atqui semicirculus est as^ ergo etiam sy% semi- 
circulus est. Et semicirculum sy% sol dimidio anno 
percurrit 4 ), quoniam item semicirculum asy\ ergo astri 

aob ortu matutino apparente 
occasus matutinus apparens fit 
post dimidium annum. Et quia 
astra /3 a d simul oriuntur, 
astrum igitur /3 posterius occi- 
dit quam a 6 ), et d prius occidit 
quam « 6 ). Quapropter mani- 
festum est astri /3 longiore ; 
astri autem d minore quam dimidii anni tempore inter- 
misso occasum matutinum apparentem fieri, id quod iam 
demonstrabimus. 




3) Hoc non exacte omnino verum est: lege Maurolycuni 
et Ptolemaei Almagestum lib. 8 ca. 6. AURIA in marg. p. 10 
(conf. c%6\iov %$). 

4) Conf. g%6Xlov xy et in appendice 9. 

5) Autol. de sphaera 9; conf. etiam Eucl. phaenom. 5. 

6) Id est: cc posterius occidit quam <?; valet igitur eadem 
quam statim citavimus Autolyci propositio. 

Autplycus. 5 




66 nEPI EIHTOA&N KAI AT2E&N A. 

"E6xco 6qC£cov xvxXog 6 ABTA ', £cpdLaxbg ds 6 
AET, xal dvaxsXXsxco XLva d\ia a6xQa xd B A A, 
cov xb \isv B rtobg aQXXovg, xb ds A sitl xov £<pdLaxov, 
rb ds A Ttobg \is6r]\iPQCav Xsyco otl xb B cx6xqov ditb 
scoag cpaLvo\isvrjg ETttxoXrjg scpav cpaLvo\isvrjv TtoLslxaL 5 
6v6lv Olcc TtXsCovog r)\iC6ovg sviavxov, xb ds A 6V 
skdxxovog. 

"E6xco6av xa& cov cpEQSxaL xd B A 7taQaXlr}XoL 

(kS) xvxXol ol BH A@. xa\ sitsl xb B xov A v6xsqov 
dvvsL, xov A ccQa 7tQog xfi 6v6el bvxog xb B vitsQ 10 

(x«) yrjv s6xat. dXXa xov A dvvovxog xb r dvaxsXXsL, xal 
6 xcov c^cpdCcov xvxXog &e6lv s%sl cbg xrjv ZKN&, xb 
ds AET rj\iLXvxkLOV s6xai xb ®NK, xal s6xaL vitsQ 

(xs) yrjv, r) ds AE TtsQLCpsQELa s6xaL r) @N' xov T aQa 
dvaxsXXovxog xb B vitsQ yrjv s6xlv' xb aQa 6vvava- 15 
xsXXov cc6xqov xco B dvvovxL ETtl xrjg KZ® £6x1 tieql- 

(x£) QpEQsiag. s6xco xb M' xov aQa r)XCov bvxog TtQog xco M 9 
xov B a6XQ0V s6xlv r) scoa aXrj&Lvr) dv6Lg. v6xsQaL 
ds el6lv ai cpaLVO^isvat xcov dXrj&LvcoV dLsX&ovxog aQa 
xov r)XCov TtSQLCpEQELav XLva, co6xs xb B sxcpsvysLV xdg 20 
xov r)XCov avydg, s6xaL xov B scpa cpaLVO\LEvr\ dv6Lg. 



(y,8) Jlu xb -9 1 ' xov nsQL xLvovfisvrjg GcpULQug. 

(%s) "Hxig sysvsxo 5lu xr)v cpuLvofisvrjv uvxcov snLXoXrjv. 

(ng) 'Ensidrj yciQ xov A dvvovxog xb B vnsQ yr)v sgxlv, 
uXXu xov A dvvovxog xb T uvuxsXXsl, nctl xov P ccqcc clvctxsX- 25 
Xovxog xb B vtcsq yr)v sgxiv. 

(%£) Tovxsgxl xb ocpslXov ugxqov uvuxstXca xov B Svvovxog 
xb E inl xr)g KZ® nsQicpSQSiug Igxlv, r\XLg sgxlv vnb yrjv, 
snsLdr) xb B vnsQ yr)v sgxlv cogxs , oxs xb B Svvsl, skslvo 
uvuxsXXsl. 30 

FIGURAM secundum codices ACE delineavimus. Circum- 
ferentia -^a, ipsi r\§ parallela, non comparet in AC. Notam ^ 
eodem loco servavimus, quo codices exhibent; sed tamen, ubi 




DE ORTIBUS ET OCC. I. PROPOS. 4. 67 

Sit circulus horizon afiyd et zodiacus asy, et 
siriiul oriantur astra quaedam /3 a d, quorum /3 sit 
ad septentriones, a in zodiaco, d ad rueridieni; dico 
astrum /3 ab ortu matutino apparente occasum matu- 
tinum apparentem facere longiore, astrum autem d 
minore quam dimidii anni tempore intermisso. 

Paralleli circuli, per quos 
astra /3 a feruntur, sint /fy 
a&. Et quia /3 posterius quam 
a occidit 1 ), astrum igitur /3 7 
dcum a ad occasum venerit, 
super terram erit. Sed astro 
y# a occidente astrum y oritur 2 ), 
et circulus zodiacus positio- 
nem habebit velut &V&, et 
semicirculus aey iam erit %v%, atque is quidem super 
terram, arcus autem as iam erit frv\ ergo astro y oriente 
astrum /3 adhuc super terram est 3 ); itaque astrum 
aliquod, quod eodem quo /3 occidit tempore oritur, 
est in semicirculo %&. Sit astrum fi 4 ); ergo, cum sol 
est ad ft, astri /3 est verus occasus matutinus. Sed 
apparentes occasus matutini posteriores sunt quam veri 5 ); 
ergo, postquam sol tantam circumferentiam percurrerit, 
ut astrum /3 radios eius effugiat, erit astri /3 apparens 

nunc £ est, ibi olim fuisse £, ipsi autem £ suus locus inter y 
et a (ut in prima et ultima huius theorematis figuris) tribuen- 
dus esse videtur. Conf. in praefatione adnot. ad p. 66, 12 et 
infra adnot. ad figuram p. 69. 

1) Autol. de sphaera 9 (conf. 6%oXiov %d). 

2) Eucl. phaenom. 6. 

3) Conf. 6%6Xiov xs et in appendice 10. 

4) Conf. 6%6Xiov x£ et in appendice 11. 

5) Autol. propos. 1 huius. 



68 



IIEPI EIIITOA&N KAI AT2E&N A. 



(■arj) dLSQ%86&cd xr\v MO' l'6r\ ccQa i6xlv r) ®N xr\ OM' 

{jl8l'£cov ccqcc i6xlv r) OK xr)g &N. xoLvr} 7tQ06x£C6&<D 

r) KN' {1£l£g)v ccqcc r) OKN xr)g KN®. r)^LKVxXCov 
(v.&) dl r) @NK' [1£l£g)v ccqcx. r\[iLXV7cXCov r) NKO' xl B 

ccqcc cc7io iooccg <pttLVO[i£vr\g i7tLXoXr)g icpccv <pocLVO[i£vr\v 
(X) dv<5tv 7tOL£lxai Slcc TtXuovog r)[iL6ovg ivLccvxov. 

Aiyoo drj oxl xb z/ cc6xqov aitb iopag <pttLVO[iivr\g 

i7tLXoXr\g icpccv <pccLVO[iivr\v 6v6lv TtotnxaL dt iXccxxo- 

vog r)tiL6ovg iviccvxov. 

'Ertd yaQ xb z/ xov A txq6x£QOV dvv£i, xov ccqcc A 

dvvovxog xb z/ vTtb yr)v i6xtv. ccXXcc xov A dvvovxog 

xb r avaxiXXu xccl 6 xoov 

£<pdCcov KvxXog $£6LV £%£L 

lg xr\v HAKM, r\ dh AE 

7t£QL<piQ£La $£6lv oog xr\v 

H£j' tov r ccqcc ccvcc- 

riXXovxog xb z/ vTtb yr)v 

i6xLV xb ccQtt 6vvavaxiX- 

Xov cc6xqov xov z/ dvvov- 

xog iid xrjg HMK 7t£Qt- 

<p£Q£Lag i6xCv. £6xoj xb N' xov aQtt r\XCov bvxog 

TtQog xcp N [xccl avccxiXXovxog] xb z/ dvv£L, xal £6xccl 

xov z/ cc6xqov icpcc ccXr\&Lvr\ 6v6cg. TtQOxiQcc di i6XLV 

r) ttXrj&Lvrj xr)g <pccLVO[L£vr\g' 6L£X$bvxog ccqcc xov r\XCov 



10 




15 



20 



(%rj) dict xb sv l'acp %qovco sncpsvysLV xd a6XQa zccg xov 25 
r)XCov avydg. 

(H-fr) 'Slg vnsQ yr\v ov did xb xb d vnb yrv slvcci, ov dv~ 
vovxog ccvxb dvaxsXXsi. 

(X) Tr)v yocQ NKO xov r\Xiov dianoQSVofisvov xb B dnb 
scoag cpaivofisvrjg snixoXrjg scpav cpaivofisvrjv dvaiv noistxai, 30 
r)xig [isi£cov s6x\v rjiifaovg sviavxov, cbg rj^iiaovg rjfiLY.vnXiov 

llSL^COV. 



DE ORTIBUS ET OCC. I. PROPOS. 4. 69 

occasus matutinus. Percurrat arcum ^o; ergo arcus 
ftv ipsi ou aequalis est 1 ); itaque arcus ox maior est 
quam &v. Communis addatur arcus wv\ ergo arcus 
oxv maior est quam xv$. Atqui &vz semicirculus 
est; ergo arcus oxv maior est semicirculo; itaque 
astrum /3 ab ortu matutino apparente occasum matu- 
tinum apparentem facit longiore quam dimidii anni 
tempore intermisso 2 ). 

Iam dico astrum d ab ortu matutino apparente 
occasum matutinum apparentem facere minore quam 
dimidii anni tempore intermisso. 

Quoniam enim astrum d prius occidit quam a 3 ), 
astro igitur a occidente astrum d sub terra est. Sed ; 
cum a occidit, y oritur 4 ), et circulus zodiacus positio- 
nem habebit velut rjXx[i, arcus autem as positionem 
velut ^|; ergo, cum y oritur, d adlmc sub terra est; 
itaque astrum aliquod, quod eodem quo d occidit tem- 
pore oritur, est in semicirculo rj^ix. Sit astrum v; 
ergo ; cum sol est ad v [et oritur] ? d occidit, eritque 
is astri d verus occasus matutinus. Sed verus prior 



1) Ex constructione scilicet est arcus &v = as (p. 66, 14), 
et ex hypothesi, postquam sol arcum cce percurrit, astrum ^ 
solis radios effugit (p. 62, 13 — 15); ergo propter Autol. de sphaera 
propos. 2 et Eucl. elem. 3 def. 11 propos. 26 arcus oft ipsi cce 
aequalis est. Conf. praeterea g%6Xiov y.t\ et in appendice 12. 

2) Conf. 6%6liov X et in appendice 13. 

FIGURA similis exstat in codicibus A C , habetque littera £ 
eundem locum atque in prima huius theorematis figura (conf. 
adnot. ad figuram quae antecedit). Nostra coniectura addi- 
dimus litteram & et lineam d-fr, omisimus autem parallelam 
circumferentiam %y in A C expressam. In codice E pro figura 
est circulus cum inscriptione o%rj(ia xcp nooxsQco naoaTiXr\6iov . 

3) Vide supra p. 65 adn. 5. 

4) Eucl. phaenom. 6. 



70 



IIEPI EIHTOAaN KAI AT2ESN A. 




TtSQLCpEQSLaV TLVCC, 006TS TO ^/ EXCpEVyELV TCCg TOV 

r)XCov avydg, s6TaL tov A r) scpa cpaLVO\isvr] dvtiig. 
6lsq%s6^oo Ti]v NKO. xa\ STtsl i'6r] s6t\v r) OKN 
Tij H8, sXa66oov r) OK Trjg H8. xoLvr) ds TtQO^xsC^&co 
r) K8' oXr] doa r) 8KO oXrjg Trjg H8K sXa66oov e6tCv. 5 

(*°0 r)\XLXVxXCov ds r) K8H r) 8KO aQa sXa66oov e6t\v 
r)\iLXvxXCov Tr)v 8KO aoa TtEQLcpSQSLav dia7tOQEVETaL 
b r)Xtog sv sXa66ovL %Q0vcp r)\iC6ovg svtavTOv, co6te 
t6 A dito scpag cpaLvo\xsvr\g STtLToXr\g scpav cpaLVO\isvr\v 
itOLSLTaL 8v6lv 6V iXaTTovog %qovov r)\xC6ovg svtavTov. 10 

(Xfi) s' . Tcov aitXavcov a6TQCov o6a \isv s6tlv ejtl rov 
Toov ^cpdCcov xvxXov dito s67tsQCag cpaLVO\isvr]g E7tLToXrjg 
s67tEQLav cpaLVO\isvr\v 6v6lv TtoLEfaaL dta r)\iC6ovg evl- 
avTov, Ta ds TtQog aQXTOvg dtd TtXsCovog, ra ds TtQog 
\is6r]\i^QCav 6V sXaTTOvog. 15 

"E6tco sv xo6\icp oqC^oov xvxXog 6 ABTA ', 6 ds 
tov r)XCov xvxXog &e6lv e%stoo 
obg Tr)v AETZ, xa\ s6too VTto 
yrjv ro AET r)\iLXVxXLOv, xa\ 
tov r)XCov dvvovTog xaTa rc r j 
a6TQa TLvd toov ditXavoov dva- 
teXXetoo Ta B A A, to \iev A 
£7t\ tov ^opdLaxov, to ds B TtQog 
aQXTOvg, to 8s /1 Ttaog \is6r]\i- 
^QCav Xsyco otl too \jlev A cc6tqoo aito s67tSQCag cpatvo- 25 
\isvr]g STtLTokrjg s67t£QCa cpaLVO\isvr] dv6tg yCyvsTat dta 




(X(X) dSLHVVTCCL $£, KCCV X7]V CC7106TCC6LV XOV fjllOV Zf]V (lETCC^V 

Tr)s NK noLrjocafis&cc [r) ccno xov N soas tov K\ ' HOLvrjg yuQ 
7tQ06TL&E[i8vr}s trjs SN nccvTcos eXccttcov r)(iiHvy.%LOV dsCHvvTou. 

(Xfi) Kccl TOVTO 6CCCpS6TEQ0V VOElTCCL y CCV OLLOLCOS TCp 71QO 30 

ccvtov %ccTccyQCcipccvTSS ccnolov&rjocofisv. 



DE ORTIBUS ET OCC. I. PROPOS. 5. 71 

est quam apparens 1 ); ergo, postquam sol tantam cir- 
cumferentiam percurrerit, ut astrum d radios eius 
effugiat, erit astri d apparens occasus matutinus. 
Percurrat arcum vno. Et quia arcus vxo ipsi rfe 
aequalis est 2 ), arcus igitur ox minor quam rfe. Com- 
munis addatur arcus h£; ergo totus %ko minor est 
toto rfyt. Atqui K%r\ semicirculus est; ergo arcus %xo 
minor est semicirculo 3 ); itaque sol arcum %%o minore 
quam dimidii anni tempore percurrit, ita ut astrum d 
ab ortu matutino apparente occasum matutinum appa- 
rentem faciat minore quam dimidii anni tempore 
intermisso. 

V. Astrorum fixorum ea quae sunt in circulo zo- Pr g P * 
diaco ab ortu vespertino apparente occasum vesperti- 
num apparentem faciunt post dimidium annum, ea 
autem quae sunt ad septentriones intermisso maiore, 
ea denique quae sunt ad meridiem minore temporis 
spatio. 

Sit in mundo circulus horizon afiyd, solis autem 
circulus positionem habeat velut aey£, et sit semi- 
circulus asy sub terra, et, cum sol in puncto y occi- 
dit, astra quaedam fixa /3 a d oriantur, et quidem a 
in zodiaco ; /3 ad septentriones, d ad meridiem; dico 
astri a ab ortu vespertino apparente occasum vesper- 
tinum apparentem fieri post dimidium annum, astri 



1) Autol. propos. 1 huius. 

2) Demonstratio similis est ei quam supra ad p. 69 adno- 
tavimus. 

3) Conf. cxoXiov Xa. et in appendice 14. 
PROPOS. 5: conf. a%6Uov Xp. 
FIGURA similis exstat in codicibus ACE. 



12 



IIEPI EIIITOA&N KAI AT2E&N A. 



r)\iC6ovg hviavTov, tco ds B dta TtXsCovog , tco ds 
6V sXaTTovog. 

'EtisI yaQ rov r)XCov dvvovTog xaTa ro T aGTQa 
Tiva tcov dnXavcov [dvaTsXXst ra B A A , tcov aQa 
B A A atiTQCov s6t\v r) s67t£QCa aXrjftLvr) STtLToXrj. 
rtQOTEQa Se s6tlv r) cpaLvo\LEvr] Trjg aXrjd-Lvrjg. s6Tco6av 

OVV TOOV B A A E67tEQLaL CpaLVOflEVaL STtLToXaX TOV 

r)XCov ovTog Ttobg tco E. TtdXtv sTtsl tcc sjtl rot> toov 
t,cp dCcov xvxXov atiTQa xaTa dLa\isTQOv ovTa xaTcc 6v- 
^vyCav dvaTskXsL ts xa\ Svvel, 
rov r aQa dvaTsXXovTog r6 xaTcc 

dLCC[lSTQOV avTco t6 A dl)VSL, Q06TS 

tov r avaTsllovTog 6 rjfaog cov 
7tQog tco A dvGETaL. xa\ 6vv- 
dvCETaL tco r)XCcp ro A cc6tqov, 
xal s6TaL rov A cc6tqov r) s67tEQCa 
dkrj&Lvrj dv6Lg. jtQOTEQa ds s6tlv 
r) cpaLVO\isvr\ Trjg aXrj&Lvrjg. s6tco ovv tov A r) cpaLVO- 
\isvrj s67tEQCa dv6ig roi) r)XCov ovTog TtQog tco Z' l'6rj 
aQa e6t\v r) TE TtsQLCpSQELa Trj AZ TtsQLCpEQsCa. xal 
s6Tat xaTa tcc avTcc tco A cc6tqco aTtb s67tsQCag cpatvo- 
[lEvrjg ETtLTokrjg E67tEQCa cpaLvo\isvr\ dv6tg $La r)\iC6ovg 
svLavTov. xal cpavsQov otl tco \iev B Olcc TtksCovog, 
tco ds A 6V skaTTOvog. 

?'. r 'Exa6Tov tcov aTtXavoov cc6tqcov tcov dvaToXdg 
(Xy) xal dv6stg 7tOLOV\isvoov 6vvavaTsXXsL tco rjXCco oV evl- 
avTov syyi6Ta Tr)v dXr\ftLvr)v scoav s%LToXr)v Ttotov- 
\isvov, b\LoCcog ds xal 6w0vvel. 




10 



15 



20 



25 



(ly) "iva vnsl-eXr] rcc dsl (pavsqcc v.a\ %c\ dsl cccpavrj. 



FIGURAM coniectura nostra supplevimus. 



DE ORTIBUS ET OCC. I. PROPOS. 6. 73 

autem /3 intermisso niaiore, denique astri d minore 
temporis spatio. 

Quoniam enim, cum sol in y occidit, astra quae- 
dam fixa /3 a d oriuntur, astrorum igitur /3 a 6 est 
verus ortus vespertinus (def. 4). Sed apparens ortus 
vespertinus prior est quam verus 1 ). Sint igitur astro- 
rum /3 a d apparentes ortus vespertini eo tempore, 
quo sol est ad s. Rursus quia in circulo zodiaco astra 
iuxta diametrum opposita coniugate et oriuntur et occi- 
dunt 2 ) ; astro igitur y oriente astrum a ei oppositum 
occidit; itaque, cum y orietur, sol, qui erit ad a, occidet. 
Et simul cum sole astrum a occidet, eritque astri a 
verus occasus vespertinus. Sed apparens occasus vesper- 
tinus prior est quam verus 1 ). Iam sit astri a apparens 
occasus vespertinus eo tempore, quo sol est ad £; ergo 
arcus ye ipsi a£ aequalis est. Et similiter ac supra 
(propos. 4) demonstrdbitur astri a ab ortu apparente 
vespertino occasum apparentem vespertinum fieri post 
dimidium annum. Et apparet astri /3 intermisso lon- 
giore, astri autem d minore tempore quam dimtftii anni 
occasum vespertinum apparentem fieri. 

VI. Unumquodque astrorum fixoruni, quae ortus ™ p * 
et occasus faciunt ; intermisso fere annuo spatio 3 ) simul 
cum sole oritur verum ortum matutinum faciens, ac 
similiter simul occidit. 



1) Autol. propos. 1 huius. 

2) Eucl. phaenom. 6. 

3) Graeca Si' svlccvtov tyy igtk Auria vertit quasi toto anno; 
secl eum nihil aliud voluisse quam quod supra expressum est 
docet scholium 15 infra a nobis repetitum. Ac paulo post in 
demonstratione Sl' eviuvtov (p. 74, 20) idem interpretatur per 
annum. 




74 nEPI EIIITOA&N KAI AT2E&N A. 

"E6xco iv Kb6\icp oqCIcov 6 ABTA, 6 ds xov r)XU 
xvxXog ftitiLV i%ixco cog xr)v 
AETZ, %a\ xov r)XCov dvaxiX- 
Xovxog %axd xb A atitoov xl xcov 

ditXavcov 6vvavaxsXXixco tb z/' / / / V* 5 

tov aoa A cc6xqov i6x\v r) J\ 
aXrj&Lvr) scpa iitLXoXr]. Xiyco dr) 
oxl t6 z/ a6toov 6V iviavtov 
syyL6ta 6vvavatiXXsL tcp r)XCco. 

El psv ovv 6 r)liog dvatsCXag xata t6 A iv olaig 10 
TtsQLCpooalg tbv AETZ kvkXov dLaitOQSvstat^ drjXov 
cog to 4 a6toov 6vvavatiXXst tcp r)XCco 6V ivLavtov. 
STtsl ds iXXsCitst icp' oXaLg TtsQLcpoQalg xa\ [ioqlov tL 
TtSQLCpOQag^ {ilkqcc tLg ccv yivoLto TtaQaXXayr) tov \ir) 
ovyl to A a6tQ0v 6vvavatslXaL tcp r)XCcp' xsxr\Qr\xaL 15 
yccQ s%a6xov xcov aitXavcov cc6xqcov dLa dsxaTtivxs tisql- 
cpOQchv ixcpsvyov xov r)XCov xdg avydg, 6 ds ivtavxbg 
(X8) yCyvstaL xco r)XCcp i% oXcov TtsQLCpoQcov nal tstaQtov 
syyi6ta ccQa s6taL r) xov /1 cc6xqov scpa aXrj&Lvr) iitt- 
xoXr) 6V ivLavtov, co6ts s%a6xov tcov ditXavcov a6tQcov 20 
tcov iitLtoXdg ts xal dv6SLg itOLOV\iivcov 6vvavaxiXXsv 
xcp r)XCco 6V ivLavxov syyL6xa xr)v aXrj&Lvrjv scoav iitt- 
xoXr)v 7tOLOV[isvov. b\ioCcog ds dsL%d"r\6sxat oxl xal 
6vvdvvsL. 

£'. r 'Exa6xov xcov ditXavcov cc6xqcov ditb scpag aXr\- 25 
&Lvrjg i%LXoXr\g s6itSQCav aXr\%Lvr)v iitLXoXrjv TtOLslxat 

(Xd) Jia xb r%s' vvx&qiLSQCov slvav xbv sviavrbv ttai rs- 
tciqtov to ovv sXXsinov rb d' s6u, tzccq' o avvavarsXXsi avra 
rb ctGrQOV. 

FIGURA siniilis exstat in codicibus AC. In E intra cir- 
culum adnotatum est 6ry\^a rb avrb (scilicet illud quod nos 
p. 70 edidimus). 



DE ORTIBUS ET OCC. I. PROPOS. 7. 75 

Sit in mundo horizon aftyd, solis auteni circulus 
positionem habeat velut aey£, et, cum sol in a oritur, 
astruni aliquod fixum d simul oriatur; ergo astri d 
est verus ortus matutinus (def 2)\ iam dico astrum d 
intermisso fere annuo spatio simul cum sole oriri. 

Enimvero si sol ; postquam in a ortus est, per 
totas conversiones circulum aeyt, percurrit, astrum d 
annuo spatio intermisso simul cum sole oriri apparet. 
Sed quia de totis conversionibus deest etiam pars 
quaedam conversionis *), parvum quiddam interest, ne 
astrum d simul cum sole oriatur. Nam observatum 
est unumquodque astrorum fixorum intra quindecim 
solis conversiones radios eius effugere 2 ), annus autem 
solaris fit ex totis conversionibus et quarta insuper 
conversionis parte 3 ); proxime igitur astri d verus ortus 
matutinus redibit intermisso annuo spatio; itaque unum- 
quodque astrorum fixorum, quae et ortus et occasus 
faciunt, intermisso fere annuo spatio simul cum sole 
oritur verum ortum matutinum faciens. Ac similiter 
de occasu idem demonstrabimus. 

VII. Unumquodque astrum fixum ab ortu vero Pr ° p * 
matutino vespertinum ortum verum, itemque ab occasu 



1) Totum conversionum numerum CCCLXVI scriptor hoc 
loco intellegere videtur, quem numerum ne compleat sol, desunt 
tres fere quartae partes unius conversionis. Paulo aliter ean- 
dem rem in proximis significat, quae scholio 16 explicantur. 

2) Conf. infra libri 2 propos. 6. Auria in margine p. 17 
adnotat Scilicit 15 gradibus; quid tamen intersit, facile intel- 
legitur, nam anni dies sunt 365 (et exsuperans quiddam), gradus 
autem 360, quo de discrimine etiam Graecus scriptor tacet. 

3) Conf. gxoXlov Xd et in appendice 16. Numerus CCCLXV 
dierum et quartae diei partis computatur in demonstratione 
decimi theorematis Theodosii de habitationibus. 



76 nEPI EIIITOA&N KAI atse^n a. 



dXn- 



dta r){iC6ovg iviavTOv syyiGTa, xal ccxb £67t£QCag aXr]- 
ftivrjg dv6£oog iooav dXr]&Lvr)v 8v6lv. 

"E6tgo iv x66\iop oqCIoov 6 ABT4 ', 6 81 tov r)XCov 
xvxXog ftitiiv i%hoo oog Tr)v AETZ, xaC, tov r)XCov 
dvaTeXXovTog xcctcc to A, cc6tqov tl tcov ccitXccvcov dva- 
TsXXhco to /J' tco ccqcc z/ cc6tqoo dXr]%Lvr\ i<5Tiv icocc 
iitLToXr]' Xiyoo otl tov /1 cc6tqov ccnb iooag dXr]&Lvr)g 
i%iToXr]g e6JteQLCc dXr]&Lvr) iitLTokr) yCyvsTdL Slcc r)[iC6ovg 
iviavTov eyyiCTa. 
(Xs) El [isv ovv 6 r)XLog Tr)v AET 7t£QLcpiQ£Lav 8l£q- io 
%£TaL iv olaLg rj^iiQaLg, 8r)Xov oog 8v6£TaL xaTcc to T, 
xal £6TaL tov z/ cc6tqov r) £67t£QCa dXr]&Lvr) iitLToXr) 
6lc\ r){iL6ovg iviavTov. d 81 {ir) 8iiQ%£TaL Tr)v AET 
7t£QLcpiQ£Lav iv oXaig r)[i£QaLg, ^llkqcx TLg av yivoLTO 
7taQaXXayr) toi» [ir) ov%l 6vv8vvaL tov r)hov too d 15 
cc6tqoo, co6T£ Too A cc6tqco a7tb iooag dlrj&Lvrjg iTtiToXrjg 
£67t£QLa aArj&Lvr) yiyv£TaL dvaToXr) 8lcc r){iC6ovg ivi- 
avTOv eyyi6Ta. 

r O[iOLGog 8r) d£L%0[i£v otl xal ccTtb £67t£QCag dXrj&ivrjg 
dv6£oog iooav dlr]&Lvr)v 8v6lv 7toL£LTaL 8l& r){tC6ovg 20 
ivLavTOv (£yyL6Tcx). 

r] . "06a toov cc6tqoov i6Tlv inl tov toov ^oodCoov 
xvxXov, ix£tva [i£Ta Tr)v i6%aTr]v £67t£QCav cpa6LV Tr)v 
iooav TtQooTrjv cpa6LV 7tOL£LTaL dcpavL6$ivTa r){iiQag TLvdg 
xal vvxTag. 25 



(Xs) Ov diSQXsxcti $ s i insidri, sl iv x^s TtSQicpoQatg [ibvov 
Sifjsi xbv sviecvTOV, xb riiiiav xov hvkXov sv xcq rjfiCasi xov svi- 
kvxov diicov ncivxcog dv $Svvs Kaxct xb r. srtsidrj ds sv x%s 
7tsQicpoQCiig ov xbv ncivxci v.v%lov dCsiaiv, dllci xbv naQci xixaQ- 
xov, dfjlov oxl KQO xov r tcov dvasxcci , dict xb xb r\\Liav xa>v 30 

t|s' 71Q0 XOV r 710V 71L71XSIV. 




DE ORTIBUS ET OCC. I. PROPOS. 8. 77 

vero vespertino niatutinuru occasum veruni intermisso 
dimidio fere anno facit. 

Sit in mundo horizon afiyd, solis autem circulus 
positionem habeat velut aey%, 
et, cum sol in a oritur, astrum 
aliquod fixum d simul oriatur; 
ergo astri d est verus ortus 
matutinus (def 2)\ dico astri d 
ab ortu vero matutino vesper- 
tinum ortum verum fieri dimidio 
fere anno intermisso. 
Enimvero si sol semicirculum asy per totos dies 
percurrit, apparet eundem in y occasurum esse 1 ), erit- 
que astri d vespertinus ortus verus intermisso dimidio 
anno. At si non per totos dies semicirculum asy 
percurrit, parvum quiddam interest, ne sol simul cum 
astro d occidat; itaque astri d ab ortu vero matutino 
vespertinus ortus verus fit fere dimidio anno intermisso. 
Ac similiter demonstrabimus astrum d etiam ab 
occasu vero vespertino matutinum occasum verum 
facere intermisso fere dimidio anno. 

VIII. Quaecunque astra in zodiaco circulo sunt, Pr g P " 
ea post ultimum conspectum 2 ) vespertinum praebent 
primum conspectum matutinum, postquam per aliquot 
dies et noctes latuerunt. • 



FIGURA non differt a superiore (p. 74). In codicibus AC 
eaedem lineae et litterae repetitae sunt, in E intra circulum 
adnotatum est xo avrb Gx^ybcc. 

1) Conf. 6%6liov Xs et in appendice 17. 

PROPOS. 8: conf. infra libri 2 propos. 6 et in appendice 
scholium 18 cum nostra adnotatione. 

2) Graecum cpdaiv Auria apparitionem vertit. 




78 nEPI EIIITOA&N KAI AT2E&N A. 

"E6xoo ev xo6[icp oqC£oov 6 ABTA , 6 de xov r)lCov 
uvxAog fte6iv e%exoo cbg xrjv AET, %a\ 6 r)kiog Ttooev- 
sg&gj cog eitl xcc T E A ^ieor], cc6xqov de xi xoov 
ditXavoov erii xov xcov t,cpdCoov 
kvkIov edxco xb E, xccl xb E 

(X<s) cc6xqov e6%dxcog pev 7teQt%axa- 
Xa^ave6^co VTtb xcov xov r)lCov 
avycov xov r)kCov ovxog TtQog xcp \ 

(X£) Z, TtQcoxcog de eKcpevyexco xag 

xov r)kCov avydg xov rjkCov bvxog ^x^ ^/ 10 

TtQog xop H, xovxe6xiv e6xco xov E 
cc6XQ0v r) [iev e6%dxr\ e67teQCa cpa6ig xov r)kCov bvxog 
TtQog xop Z, r) de ecpa TtQooxrj cpa6ig xov r)kCov bvxog 
TtQog xop H keyco bxi xov r)kCov dia7tOQevo{ievov xr\v ZH 
TteQicpeQeiav xb E oc6xqov ov cpaCvexai. 15 

"E6xoo yccQ 6 rjhog 7tQog xop S' xov aQa rjkCov 

(Xr\) bvxog TtQog xcp xb E cc6xqov ov cpaCvexai avaxekkov» 
itQoavaxekkei yaQ avxov xb ®, xovxe6xiv 6 rjkiog. 

(X&) dkk' ovde dvvov 0Qad"rj6exai, eTteidrjTteQ xov E cc6xqov 
e6xlv r) e6%dxrj e~67teQCa cpa6ig xov rjkCov bvxog TtQog 20 
xop Z' xov a.Qa rjkCov bvxog TtQog xcp xb E cc6xqov 
ov cpaCvexai. 




(Xg) Tovtsgtlv sG%aTcog cpcuvEG&co dvvov. 

(Xl) Tovtegtl, noiv syylGEL ccvtco b tfXiog, cpccLvsG&co dvcc- 

TEXXOV, (X7tE%0VT0g LS flOLQCCg. 25 

(Xr)) 'Ecpdvr] ycco dvccTsXXov tcqlv dvccTslXccL tov r\Xiov. 
(X&) El yaQ rtQog tco 7j ovTog tov rjXCov scpccLvsTO, 8r)Xov 
oti. syyvTSQco ovTog [rov £] ov cpccCvsTccL to E dvvov. 



FIGURAM descripsimus ad similitudinem eius quae exstat 
in codicibus ACE, nisi quod ibi litterae £ & s * v\ latius inter 
se distant ac paene totum semicirculum obtinent. Graecus 



DE ORTIBUS ET OCC. I. PROPOS. 8. 79 

Sit in mundo horizon afiyd, solis autem circulus 
positionem habeat velut aey, et sol currat a y per e 
ad a 1 ), astrum autem aliquod fixum in circulo zodiaco 
sit e, idque postremo solis radiis occupetur 2 ), cum sol 
est ad %, primo autem solis radios effugiat 3 ), cum sol 
est ad rj, id est astri e sit ultimus vespertinus con- 
spectus, cum sol est ad J, primus autem matutinus 
conspectus, cum sol est ad ^ 4 ); dico, dum sol arcum 
tfl percurrit, astrum e non conspici. 

Sit enim sol ad # pnnctnm inter g et e situm\ ergo, 
cum sol est ad &, astrum e non conspicitur oriens 5 ); 
nam antea astrum &, id est sol, oritur. At idem ne 
occidens quidem conspicietur 6 ), quoniam ex hypothesi 
astri e est ultimus vespertinus conspectus, cum sol 
est ad £; e r g°> cum sol est ad &, astrum e non con- 
spicitur. 



scriptor supponit arcum gsr) a sole percurri duodecirna parte 
annui cursus, id est diebus triginta. 

1) f Sol quidem iter faciat, verbi gratia, ad partes C, E, A' 
(id est y s a) vertit Auria, ac posthac similiter. 

2) Scflicet postremo occidere videatur. AURIA in marg. 
p. 20 (conf. 6%6l. X?). Vide tamen in appendice adnotationem 
ad schol. 18. 

3) Scilicet ante appareat oriri, quam sol ipsi appropinqua- 
verit, distante tantum sole grad. 15 ab eo. IDEM (conf. 
6%oXiov Ig). 

4) Ad hunc locum apposuit Auria scholium, quod in appen- 
dice nostra est undevicesimum , expressum e Graeco [ty. Sed 
hoc quidem in codice C adscriptum est ad finem huiuri propo- 
sitionis (p. 80, 11), ac similiter brevius illud scholium quod 
est in E. 

5) Apparebit siquidem oriri ante solis exortum. AURIA 
in marg. p. 20 (conf. a%6Uov Irj). 

6) Si enim manente sole in £ puncto apparet, patet quod, 
accedente propius, astrum s occidere non videtur. AURIA iu 
marg. p. 20 (conf. a%6liov X&). 



80 nEPI EIIITOA&N KAI atse^n a. 

( OpoL(og dr) dsCt;ofisv oxi ovds toi5 r)XCov tr)v ZE 
G») nsQLcpsQSLav dLaTtoQSvo^isvov xb E cc6tQov ov cpaCvsxaL. 
Asyoo dr) bxi ovds tr)v EH. 

"Etixco yccQ TtaUv %Qog too K 6 rjXLog' xov aQa 

(fta) r)XCov bvtog TtQog too K tb E ccGxqov ov cpaCvsxaL 5 

dvvov TtQodvvsL yccQ tb Exov K y tovts6tLV tov i]XCov. 

ovds [ir)v dvatsXXov oQataL, snsLdr]7tSQ rov E a6tQ0v 

s6xlv r) sooa TtQooxrj opcc6Lg xov r)XCov bvxog 7tQog xoo H' 

(tip) xov aQa r)XCov bvxog TtQog xoo K xb E cc6xqov ov 

cpaCvsxai. 10 

(fiy) 'O^ioCoog drj dsfl*o[isv oxl ovdh xov r)XCov xr)v EH 
dLaitOQSvoiisvov tb E cc6xqov cpaCvsxat. sdsCx&r) ds bxi 
ovds tr)v ZE* bXr\v aQa tov r)XCov tr)v ZEH itsQL- 
cpSQSLav dtaTtoQsvotisvov tb E a6tQ0v ov cpaCvstat, 

&'. Ta TtQog tis6rj{i(5QCav oc6tQa ycaXXov toov STtl 15 
xov toov ^oodCoov xvxXov ccTtb s6yatr\g s6itsQCag cpa6soog 
sooav (pa6LV TtoislxaL TtQooxrjv TtXsCovag r){isQag dcpavL- 
6ftsvxa r\itsQ xa sit\ xoZ toov c^oodCoov xvxXov. 



((i) Tovtsotl {iSTccf-v Trjg ZE nsQicpsQsCag XupfiuvovTsg or\- 
pLsiov Y.ccl b{ioi(og dsiTivvvTsg. 20 

([icc) "SlcpsiXsv Ss [istu to tov r)Xiov Svvul cpavrjvat Svvov 
ioxaTcog. 

(/x(3) El yccQ dncoTSQco ovTog tov r)XCov scpaivsTO uvutsXXov, 
SfjXov OTi iyyvTSQOv ovTog ov cpaivsTai. 

((iy) Tovtsotl [istcc (isv to Svvul tov tJXlov, nQog tco Z 25 
ovTog avwv, io%ccTcog cpuivso&co Svvov to E, %ul nccXiv %q\v 
uvutsCXul uvtov , nQog tco H ovTog uvtov , itQcoTcog cpaivsobco 
uvutsXXov [irjds7tco fisv yccQ cp&ccouvTog wvto tov r\XCov , uXX' 
dns%ovTog fioCQug is' , {istu to Svvui uvtov, io%uTcog cpaCvsTai. 
sfaa inLKUTuXufiovTog uvto tov rjXCov dcpuvLG&sv, 7tQO%6nTOVTog 30 
tov rjXCov tyjv ivavTCuv tco nuvTi \ir\ cpuivo\isvov. nuXiv nQog 
Tuig uvuToXuig dnooTUVTog uvtov nQcoTcog cpuCvsTai nQiv dva- 
TsiXuL tqv tjXlov. sluoTcog ovv nQcoTcog sotul 7] sonsQCu sniToXr) 
cpaLvon^vr] ioxaTrj, sha r) scpa nQcoTrj snLToXrj, otl dno sonsQCug 
scoav noisitaL vvv. 35 




DE ORTIBUS ET OCC. I. PROPOS. 9. 81 

Iam similiter demonstrabimus, quocunque alio in 
puncto inter £ et s sito sol consistit 1 ), id est quoad sol 
arcum £a percurrit, astrum s non conspici. 

Iam dico ne eo quidem tempore, quo sol arcum sr\ 
percurrit, astrum s conspici. 

Sit enim rursus sol ad % punctum inter s et rj 
situm\ ergo cum sol est ad n, 
astrum s occidens non conspi- 
citur, quoniam id prius occidit 
quam x, id est quam sol. Neque 
vero oriens conspicitur, quoniam 
ex hypothesi astri s est primus 
matutinus conspectus, cum sol 
est ad 7] ; ergo ; cum sol est ad x, 
astrum s non conspicitur 2 ). 

Iam similiter denionstrabiruus, quocunque alio in 
puncto inter s et rj sito sol consistit, id est quoad sol 
arcum srj percurrit, astrum s non conspici. Sed de- 
monstratum est ne eo quidem tempore, quo arcum £«; 
ergo, dum sol totum arcum £srj percurrit, astrum s 
non conspicitur. 

IX. Astra, quae propius ad meridiem sunt quam Pr ° p - 
illa quae sunt in circulo zodiaco, ab ultimo vesper- 
tino conspectu primum matutinum conspectum prae- 
bent, postquam per plures dies latuerunt quam astra 
quae siint in circulo zodiaco 3 ). 

1) Conf. 6%oXiov jLt, quod Auria 1. c. sic expressit: Scilicet 
inter circumferentiam GE (id est &s, at debebat ponere FE, 
id est £e) punctum aliquod sumentes, idem ostendetur. 

2) Nam si longius sole manente oriri videtur, patet quod 
propius existente non apparet. IDEM (conf. 6%67uov (i§). 

3) Vide scholium 1. in 8. huius (id est in appendice huius 
editionis schol. 18) et X prop. huius. AURIA in marg. p. 21. 

Autolycus. 6 



82 nEPI EIIITOA&N KAI AT2E&N A. 

"Egtoo sv Ko6(i(p oqC^gjv 6 ABT, (isyL6Tog ds tcov 
aisl cpavsQcov 6 AAE^ 6 ds tov r)XCov xvxXog $s6lv 
s%st(d cbg ty[v BZr, cc6tqov ds tcov d%Xavcov s6tg) 
to H \ndXXov tov tgjv ^cpdCav xvxXov JtQog [is6r}[i- 
Poiav Xsycj otl t6 H cc6tqov d%6 s6%SQCag s6%aTr\g 5 
cpa6scog scoav %QcoTr\v cpa6LV TtoisiTai dcpavL6%\v %XsCo- 
vag Yj[iSQag r\%SQ tcc sril Tot) tcov ^codCcov kvxXov. 

rsyQcccp&co yaQ dta tov H [isyt6Tog xvxAog scpa%To- 
psvog Tot) AAE o AH4M, co6ts a6v(i%TG)T0v sivai 
Tt> d%6 tou /i r)(iLicvxXLOV cog sril tcc A H (isQrj tco 10 
ccTto Toi) A rj^LLKvxXCcp cbg STtl TCC A M B pSQYJ, CC6TQ0V 
ds Ti S%\ TOV T03V ^CodCcOV KVXXOV S6TCO TO Z, KOL TO 

((id) Z cc6tqov s6%aTcog {isv 7tSQi%aTaXa\i^avs6^Gi v%6 tcov 
tov r)XCov avyeov, tov rjXCov ovTog %Qog tco ®, sk- 
cpsvysTco ds Tag to£> rjXCov avyag %QcoTG)g tov rjXCov 15 
ovTog TtQog to5 K' toi» aQa r)XCov diaTtoQSVopsvov ttjv 
((is)®K TtsQicpSQSiav to Z lx6tqov ov cpaCvsTai. kol STtsl 
((i<s) tcc Z H a6TQa opov dvvst (a6vyb%TG)Tov yaQ s6tlv to 
ccTto tov A ^lkvkXlov cbg sril tcc A H \isqy\ tco d%6 
tov A r)(iLKVKXCcp cog srii tcc A B \isqtj), tcc Z H aQa 20 
d(ia s[i%C%tsl stg Tag to£> r)XCov avydg. xal s6tl tov 
Z cc6tqov r) s6%aTr\ s6%SQCa cpa6Lg tov r)XCov ovTog 

((id) Tovts6tiv s67tsoiccv S6%cttr\v smtoXrjv nois 16&C0 to Z 
tov r\Xlov ovtog TtQog to} @, sooav ds TtQcotrjv sTtitolrjv Ttoisfcftco 
tov r)XCov ovtog 7tQog to5 K. 25 

(fis) dia tov rf . 

(fiZ) 'Eav yaQ Slcc t(bv Z H TtaQaXX^Xovg 'AvrCXovg vor\- 
6co(isv, s6ovtav a,7tb tcov Z H cbg snl td A M B (iSQrj nsQi- 
cpSQSLat (ista^i) xcov a6V(intc6tcov rjfiiHVKXCcov, %al o(ioiai S60vtai. 
v.a\ §ia tovto sv tco avtco %qovco td Z H Sv6stat' tdg yaQ 30 
6(ioCag sv i'6co %Qovcp 8iSQ%stai. 

FIGURA similis exstat in codicibus ACE, nisi quod ibi 
litterae -fr £ % latius inter se distant ac paene totum (3y semi- 
circulum obtinent. 



DE ORTIBUS ET OCC. I. PROPOS. 9. 



83 




Sit in mimdo horizon afiy, maximus autem circulus 
eorum cjiri semper apparent ads, solis autem circulus 

positionem habeat velut 
/3£y, astrum autem aliquod 
fixum r\ sit propius ad 
meridiem quam circulus 
zodiacus; dico astrum r\ 
ab ultimo vespertino con- 
spectu primum matutinum 
conspectum praebere, post- 
quam per plures dies latuit 
quam astra quae sunt in 
circulo zodiaco. 

Describatur enim per r\ maximus circulus lr\dp y 
qui circulum ade tangat 1 ) ita, ut ne semicirculus, 
qui a d versus r\ tendit, congruat cum eo, qui ab a 
versus ft /3, astrum autem aliquod in circulo zodiaco 
sit £, idque postremo solis radiis occupetur 7 cum sol 
est ad #, primo autem solis radios effugiat, cum sol 
est ad x 2 ); ergo, dum sol arcum tbc percurrit, astrum % 
non apparet 3 ). Et quia astra £ r\ simul occidunt — 
nam semicirculus , qui a d versus rj tendit, non con- 
currit cum eo, qui ab a versus /3 4 ) — astra igitur J r\ 
simul in solis radios incidunt. Et ex hypothesi est 
astri £ ultimus vespertinus conspectus, cum sol est 



1) Theodos. sphaer. 1, 20. 

2) Conf. 6%6Xiov (id et in appendice 20. 

3) Autol. propos. 8 huius, ut est in Graeco scholio (is. 
In codice Vaticano latere videtur scholium dia xb &•' (v. praefat. 
ad p.82,16), quod si ad hunc locum pertinet, corrigendum est 

dlCC ZO 7] . 

4) Ex hypothesi. Praeterea conf. o%6l. pz et in appendice 21. 

6* 




84 nEPI EIHTOA&N KAI AT2E&N A. 

7tQ0g XCO &' KCcl XOV H CCQCC CC6XQ0V 66%dxr\ E67t6QLCC 

cpa6tg e6xlv xov r)XCov bvxog 7tQog xoj ©. TtdXtv sitel 
(p£)xd Z H byLov dvveL, xccl ov% 6{iov dvaxeXXeL, aXXa 
tcqoxsqov xb Z xov H, 8r\Xov cbg xal tiqoxsqov Ik- 
cpevyet xccg xov r)XCov avyag xb Z. Ttal 66xl xov Z 5 
cc6xqov r) ioSa JtQcSxr} cpcc6Lg xov r\XCov bvxog TtQog 
(lirj) x<p K' xov aQa r)XCov bvxog TtQog xqj K xb H cc6xqov 
ovitcog excpevyeL xccg xoi r)XCov avydg' xb H aQa 
a6xQ0v ccnb 66%dxr\g e6%6QCag cpd6eojg ecoav %Qooxr\v 
cpa6Lv TtOLelxaL %XeCovag r^ieQag dcpavL6&ev r\%6Q xa 10 

6%l XOV XQQV ^(pdLOJV HVXXOV. 

l . Toov d%Xavojv cc6xqqov xoov dvaxoXdg xe xal 
dv66Lg 7tOLOV{i6V03v xoov TtQog aQXXOvg ovxojv {idXXov 
xov xoov clojdCojv kvkXov XLvd exa6xr\g vvxxbg oQaxaL. 

"E6xoj ev Ko6\kQj oqlIojv b ABr, \x,eyL6xog de xoov 15 

alel cpaveQOJV 6 AAE, ^ojdLaKog de 6 BZr, xal xov 

rjXCov bvxog %Qog xop Z cc6xQa xtva e6xoj xd H ©, 

(ft#) 0J6X6 xb {iev H excpevyeLV xag xov r)XCov avyag tiqqj- 

(v) xojg, xb de ® %6QLxaxaXa{i[$dv66&aL e6%dxojg \xovx66xlv 



(fi£) Aik xov &' xov nsQL KLvov^svrjg GcpaiQag. 20 , 

(firi) Ei yag xb Z s^scpsvys xdg xov r{Xiov avydg, bnLG&sv 
ds sgxl xov Z xb H, drjXov oxi xov r)Xiov syyvg sgxlv ovnco 
cpvybv xdg avydg. {isfi'' rjLisQccg xLvag ccqcc cpsvi-sxctL- dib sv 
nXsiovL XQOVcp sgxlv dcpavsg r\nsQ xb Z. 

(jUz-fr) Tivsxai ds cpavsQov, sdv cJlcc xcov H E naQallrjlovg 25 
yQaipcofisv, %al 8lcc xcqv © d, %aQ'' cbv cpsQSxaL xa Grnista. 

(v) Tov rjliov dnb xov B, xovxsgxlv dno Svc^iav, diano- 
qsvo\isvov, oxs rjv [isxd xov H, scoag ovGrjg dXrj&Lvr]g snLxoXrjg. 
LisxaHLvrj&svxog 8s xal dnoGzdvxog ls iioiQag scpdvrj, xov rjXiov 
dnb xov T bvxog (xovxsgxlv vnb yr)v), nQcoxcog dvaxsXXov Slo 30 
sgxl xb II r) scoa cpaLvo\isvr\ snLxoXr). 

1) Autol. de sphaer. 9 (conf. g%6Xlov ll£). 

2) Conf. g%6Xlov firy et in appendice 22. 



DE ORTIBUS ET OCC. I. PROPOS. 10. 



85 



ad #; ergo etiarn astri r\ est ultiraus vespertinus con- 
spectus, cum sol est ad #. Rursus quia astra £ r\ 
simul occidunt, neque vero simul oriuntur, sed £ prius 
quam rj 1 ), apparet g prius radios solis effugere. Et ex 
hypothesi astri £ est primus matutinus conspectus, cum 
sol est ad %\ ergo, cum sol est ad x, astrum rj non- 
dum effugit radios solis 2 ) ; itaque astrum rj ab ultimo 
vespertino conspectu primum matutinum conspectum 
praebet, postquam per plures dies latuit quam astra 
quae sunt in circulo zodiaco. 

^ t Prop. 

X. Ex astris fixis, quae ortus occasusque faciunt 10 
ac propius quam circulus zodiacus ad septentriones 
sunt, quaedam omnibus noctibus conspiciuntur. 

Sit in mundo horizon ccfly, maximus autem circu- 
lus eorum qui semper apparent ade, zodiacus autem 

fi&j et cum sol 
est ad %, astra 
quaedam r\ & ita 
posita sint, ut r\ 
y solis radios primo 
effugiat, %• autem 
postremo 




FIGURAM nostra coniectura descripsi- 
mus: in codicibus ACE hae fere lineae et 
litterae exstant: 




86 nEPi eihtoa&n kai atse&n a. 

(va) %v r) xov [iev H r\ ecpa cpaLVO[ievr\ ijttxoXr], xov de ® 
r) e67iBQia cpaLvo\ievr\ dv6ig~\, xal dtd xcov H \x,eyi- 
6xoi xvxXol yeyQacp&co6av icpaitxo^evoL xov AAE xv- 
xXov ol AHKE M®KA, co6xe xb iiev EHA r\^LXvxXtov 
a6v\mxcoxov eivai xcp ano xov A r\^LXVxXCcp cbg iiti 5 
xa r tieQrj, xb de A&M xcp aitb xov A r\[iLXvxXCcp tog 
iitl xd B [liorj, xovxe6xiv xb pev HE r)[iLXVxXLOv icp- 
aQ[io&LV ijtl xr)v dvaxoXr\v, xb de 0A iitl xr)v 6v6lv, 
a6xoov de xl 7tQog doxxov e6xco xb K' Xeyco dr) oxl 
xb K a6XQ0v exa6xr\g vvxxbg oQaxaL. 10 

KeL6d-co yaQ xfj ZH l'6r\ r) AN, xf\ cVe Z® l'6r\ r) 
M& • e6xaL dr) xal f\ M& xf\ AN i'6r\ (iitel xal r\ Z® 
xrj ZH d^d xb v7toxel6ftaL xa a6XQa iv l'6cp %qovco 
ixcpevyeiv xdg xov r\XCov avydg). xal i%el xaxd dtd- 
pexQOV i6xL xb H xcp A, xal e6xL xov H a6XQ0v r) 15 



(va) 'Ev 06(p ydo 6 rjXiog SQ%stai sn' avto, d(ia 8vvov6iv ' 
dt6ts slvai xov ® s6nsQiav aXrfoivriv 8v6iv nQiv d.Qa sn' avtb 
sX&rj dns%(ov avtov is' fioiQug vnb yrjv, xov navxbg dyayovxog 
avxd, s6%dt(og syaivsto xb & dvvov. 



1) Conf. 6%oUov v et in appendice 23. 

2) Conf. 6%6Xlov va et in appendice 24. 

3) In circulorum notis s*r\oX dx&nfi ordinem litterarum in 
codicibus traditum invertimus ac praeterea, ut paulo post se- 
micirculos recte appellare possemus, o et n addidimus. 

4) In codicum scripturis sr\X et paulo pot d^ju- litterae l 
et (i non recte se habent. Nam cum utique semicirculi ab s 
et 8 incipientes notandi essent, aut litterae propriae o et n — 
id quod nos fecimus — ponendae erant pro X et (i (hae enim 
sunt ultra semicirculos ab s et d versus x tendentes), aut scri- 
benda erant xb (isv dno xov E r)(ii7tv)tXiov mg ln\ xd H A 
(isQr} et tb ds dnb tov A r\\iwvy.Xiov <os sn\ xd @ M (isQrj. 
Iidem semicirculi paulo post (p. 86, 7. 8) in Graecis codicibus 
xjs et &8 notati sunt. 

5) Partes orientales sint a et y, occidentales autem a et 
|3. AURIA in marg. p. 24. 



DE ORTIBUS ET OCC. I. PROPOS. 10. 



87 



occupetur [id est, ut astri t\ sit ortus ruatutinus ap- 
parens *) , astri autem # occasus vespertinus appa- 
rens 2 )], et per rj & niaximi circuli £Kr\ol dx&7t[i 3 ), 

tangentes circu- 
lum ade, ita de- 
scribantur, ut ne 
semicirculus erjo*) 
concurrat cum eo 
qui ab a versus y 
tendit, neve semi- 
circulus d&7t cum 
eo qui ab a ver- 
sus /3 tendit 5 ), id 
est ; ut semicircu- 
lus erjo congruat 
ad ortunt, semicir- 
culus autem 8%-ti 
ad occasum, denique astrum aliquod versus septen- 
triones sit h; iam dico astrum x omnibus noctibus 
conspici. 

Ponatur enim arcus kv ipsi %r\, arcus autem \i% 
ipsi %%• aequalis 6 ); erunt igitur etiam \n% Xv inter se 
aequales, quoniam item £0- %r\ inter se aequales 
sunt propterea, quod suppositum est astra aequali 
tempore solis radios effugere 7 ). Et quia astra r\ X 
iuxta diametrum sibi opposita sunt 8 ) ; et 7 cum sol est 

6) Theodos. sphaer. 2, 13 citat Auria in marg. p. 24. 

7) f Vide Schol. in margine positum in 4. huius' (in nostra 
editione p. 65 adnot. 3). AURIA ibidem. 

8) Theodos. sphaer. 1,11; scilicet uterque circulorum $r\yl 
sryX maximus est. Praeterea etiam Theodos. sphaer. 2, 9 Auria 
citat in marg. p. 24. 




88 nEPI EIHTOA&N KAI AT2E&N A. 

SOOCC (pttLVO\livY\ i%LXOXr) XOV Y\kCoV OVXOg 7tQ0g XOO Z ? 
(v§) E6XCCL ttQtt XOV H CC6XQ0V Y\ E67tSQLCC CpttLVO\livr\ iltLXOlr) 

xov r)Hov bvxog TtQog xop N dtcc xb l'6r\v slvccl xr)v 

ZH 7tSQL(pBQBLttV XY\ AN 7tSQL(pEQSLtt. Xttl E6XttL 6 %Q0- 

vog iv oh 6 r\XLog xr)v ZTN TtEQLcpiQSLttv dLttTtoQSvsxccL 5 
xop H cc6xqqo ccTtb sooccg cpccLVO\iivr\g STtLXoXrjg STtl xr\v 

S67CEQLCCV (pCCLVO\HSVr\V S7tLXoXr\V. TtttXlV STtel xb ® XOO 
M XttXtt OLttllSXQOV S6XLV Xttl S0XLV L6Y\ Y\ Z® TtSQLCpS- 
QSLCC XT\ M% TtEQLCpSQELtt^ Xtt\ S6XL XOV ® CC6XQ0V i) 

s67tSQLtt (pccLVO\isvr\ 6v6cg xov r L kCov ovxog 7tQog xop Z, 10 
(vy) s6xccl ccQcc xov r\Mov ovxog TtQog xop & xov ® cc6xqov 
r\ sopcc cpccLvo[isvr\ dv6Lg. xccl s6xccv 6 %QOVog iv ob 6 

Y\liOg Xr\V &BZ TtEQLCpiQELCCV dLttTtOQSVSXCCL XQO tt6XQ00 

ttTtb sopccg cpccLVO[isvr\g dv6soog ijtl xr)v s67tSQLCcv (pcct- 
(vd) vo\iivr\v 6v6lv. ccXl! iitsl didsLxxccL oxi sxcc6xov xoov 15 
ccTtkccvoov cc6xqoov ccTtb scpccg (pccLvo\iivr\g iTtLXoXrjg sxcc- 
6xr\g vvxxbg oQttXcct ccvccxiXXov soog xfjg s67t£QLttg cpccL- 
vo\iivr\g iTtLXoXrjg, xb H ccqcc cc6xqov sxcc6xr\g vvxxbg 



(v$) 'EnsiSr) yuQ xu inl xov xoov £opSCcov y,vy.Xov kuxu gv- 
gvyiav uvuxsXXsl xs nul Svvsl, xov H czqcc dvuxsXXovxog xb A 20 
Svvsl, Y.al xov rjXCov bvxog noog xop A xov H iaxlv r) sGnsQCa 
dXr}&Lvr) SvGLg. nQoxsQUL Ss sIglv ul opccivofisvccL xcov uXrj&L- 
vav xov uqcc r)XCov nQog xop N ysvo(isvov (nQOiqystxuL yccQ xb 
N xov A) £'gxccl r) cpaLvofisvrj xov H sgtzsqCcc dvaxoXr) sG%ctxr\. 

(vy) ndcXLv Sicc xcc ccvxcc, insLdr) xcc inl xov xav ^cpdCcov 25 
v.vv.Xov uclxcc Gv&yCccv ccvccxsXXsl xs v.a.1 Svvsl, xov @ aQa dv- 
vovxog xb M dvaxsXXsi. kul xov r)XCov ovxog nQog xop M scxai 
xov © ccgxqov r) sopa dXrj&ivr) SvGLg. vgxsqul Ss sIglv ul cpui- 
vofjLSVUL xobv dXrj&LVcov xov rjXCov uqu ovxog nQog xop & sgxul 
r\ cpuivofisvr} sopu Svcig nQcoxcog xov H' vgxsqov yuQ icxL xo 30 
& xov M. 

(vS) Jiu xb $'. 

1) Ut positum est. AURIA in marg. p. 24. 

2) Conf. g%6Xlov v$ et in appendice 25. 



DE ORTIBUS ET OCC. I. PROPOS. 10. 



89 



ad £, astrum r\ matutinum ortum apparentem facit 1 ), 
eiusdem igitur astri vespertinus ortus apparens erit, 
cum sol erit ad v 2 ), quia arcus t,r\ ipsi Xv aequalis 
est 3 ). Et quo tempore sol arcum tyv percurret, eo 
astrum r\ a matutino ortu apparente ad vespertinum 
ortum apparentem perveniet. Rursus quia -0* ^, iuxta 
diametrum sibi opposita 4 ), et arcus £# ft£ inter se 

aequales sunt 5 ), 
et, cum sol est 
ad g, astrum fr 
vespertinum oc- 
casum apparen- 
tem facit 6 ), eius- 
dem igitur erit 
matutinus occa- 
sus apparens, cum 
sol erit ad £ 7 ). 
Et quo tempore 
sol arcum |/3J per- 
curret, eo astrum 
-0" a matutino occasu apparente ad vespertinum occa- 
sum apparentem perveniet. Sed quia demonstravimus 
unumquodque astrum fixum omnibus noctibus, quae 
sunt a matutino ortu apparente ad vespertinum or- 
tum apparentem, oriens conspici 8 ) 7 astrum igitur r\ 




3) Ut ponitur. AURIA in marg. p. 24. 

4) Conf. supra p. 87 adn. 8. Theodos. sphaer. 2,9 et 1,11 
in marg. p. 25 citat Auria. 

6) Theodos. sphaer. 2, 13 citat idem. 

6) Ut positum est. AURIA ibidem. 

7) Conf. oxoXlov vy et in appendice 26. 

8) Autol. propos. .2 huius (conf. o%6liov vS). 



90 HEPI EIHTOA&N KAI AT£E£>N A. 



siw 



oqutul uvurikkov xov r\kiov 6LU7tOQ£vo\iivov rr)v ZTN 
(vs)jC£QL(psQEiav. rb ds H rco K 6vvuvurikksL' (kui) xb 
K uqu ooa&rjdETai, £Ku6rr\g vvxrbg avarskkov roi) 
r\kCov rr)v ZTN TtEQicpsQEiav dLU7toQ£vo[iivov. itakiv 
ETtsl e'ku6tov rcov uTtkuvcov uotqcov ccTtb icoug cpuLvo- 5 
{iivr\g dv6scog £Kcc6rr\g vvxrbg oqutul dvvov scog rijg 
§67t£QLug cpuLvo[iivr\g dv6scog, rov ccqu r)kCov dtuito- 
Qsvopivov rr)v BBZ TtSQtcpiQELuv cpuvr\6sruL rb ® 
uGTQOv dvvov. rb ds & u6tqov tco K 6vv6vvel' kuI 
rb K uqu cpuvr\6sruL dvvov rov r)kCov OLUTtoQsvoiiivov 10 
rr)v &BZ TtsQLcpiQSLuv cpuvr\6sruL uqu rb K u6tqov 
SKu6rr\g vvKrbg Ovvov (iiv, oruv rr)v &BZ TtSQtcpiQSLav 
dLujtoQsvrjruL 6 rjkiog, uvurikkov di, oruv rr)v ZTN 

7tEQL(piQSLUV. 

Kul CpUVEQOV OTL TO K CC6TQ0V KUL 8vV0V KUl UVU- 15 

rikkov cpuvr\6sruL roi) r\kCov rr)v &BZTN TtsQLCpiQELUV 
dLUTtOQEvopivov (didstKTUL yccQ rovro)' kiyco Or) OTL 

TOt) r\kLOV dtUTtOQEVOflivOV KUL Tr)v NMS TtSQLCpiQELUV 

(v?)rb K cc6tqov £Ku6rr\g vvKrbg 0Qu&r\6ETUL. 

(v£) *T7toK£L6%-co yccQ [co6te] L'6r\v sIvul rr)v BH rrj T®' 20 



(vs) Jlcc xb rccg nsQLcpsQELccg, ccg SisQXSTaL (ietoc^v xcov 
cc6V(i7tTcoT(ov r)iLiy.vy.XCcov, b(ioCccg ovoccg sv L6cp XQOvco Sllevul. 

(vz) 'AnXcog bQcc&r]6ETCCL, ov^l r) dvvov r) ccvccteXXov. 

(v£) 'Eitsidr) yccQ sv tco vvx&rj(isQcp ncc6ccv %s6lv e£sl b £(p- 
tJLttv.bg, &xst(o roiccvTrjv %e6lv co6te to (jlev Z (istcc Tr)v Slxoto- 25 
(ilccv elvccl tov BZV T(irj(iuTog, tcc 8s B r inl TOV OQL^OVTOg' 

OTE yttQ TO Z SyyVTEQCO yLVETCCL TOV OQL^OVTOg, OVY.ETL e'xsl TljV 

ccvTrjv &S6LV o £cpdLccv.6g C06TS L6r\v sIvccl tt)v BTj ttj Zr. 



1) Conf. 6xoX. vs (m appendice 27) et praefat. ad p. 90, 2. 

2) Autol. propos. 3 huius. 

3) In Scho. 5 in hanc prop. patet hoc. AURIA in marg. 
p. 25. Quintum Auriae scholium in nostra editione est 27. 



DE ORTIBUS ET OCC. I. PROPOS. 10. 



91 



onmibus noctibus ; dum sol arcuni %yv percurrit ; oriens 
conspicitur. Simul autem cum r\ oritur k *) ; ergo 
etiam astrum x, dum sol arcum t,yv percurrit ; omnibus 
noctibus oriens conspicietur. Rursus quia unumquodque 
astrum fixum omnibus noctibus, quae sunt a matutino 
occasu apparente ad vespertinum occasum apparentem 
occidens conspicitur 2 ), astrum igitur &, dum sol ar- 
cum £/?£ percurret, occidens apparebit. Simul autem 

cum & astro oc- 
cidit k 3 ) ; ergo 
etiam x, dum sol 
arcum £/3£ per- 
curret ; occidens 
apparebit ; ergo 
astrum x omnibus 
noctibus occidens 
quidem ; dum sol 
arcum |/3g percur- 
ret ; oriens autem ; 
dum arcum %yv, 
apparebit. 

Sic igitur manifestum est astrum x et occidens et 
oriens appariturum esse, dum sol circumferentiam 
%Piyv percurrit (boc enim statim demonstravimus); 
iam dico illo etiam tempore, quo sol arcum v\i% per- 
curret ; astrum n omnibus noctibus conspectum iri 4 ). 
Supponatur enim arcum j$rj ipsi y& aequalem 




4) Simpliciter videbitur: non autem vel oriri vel occidere. 
AURIA ibidem (conf. o%6X. v$). 




92 nEPI EIHTOA&N KAI ATEE^N A. 

(vrf) 1(57] aQa xal r) TA vrj BM' co6te xal r) JW vrj B% 

(v&) i6r\ e6tCv. Ttal e6tlv ixaTSQa toov BS TN {isCtlcov 

(f) exaTEQag toov HZ Z©, tccq de [lEC^ovg TtEQLCpEQECag 

CC7t£%0VT0g TOV 7]XC0V VTtO TOV OQL^OVTa £XCp£Vy£L Ta 

{&)a6TQa Tccg rot; r\XCov avydg, oo6te rot> r)ACov, oog vvv 5 

£%£L 6 TOOV ^CodCoOV XVxXog &£6EO0g, dLaTtOQEVO^LEVOV 

Tr\v NMS 7t£QLcp£Q£Lav TtdvTa tcc a6TQa cpaCv£TaL TCC 
£7tl Trjg BZr 7t£QLCp£Q£Cag' %al t( K aQa cpavr\6ETaL % 
to cxQa K £Ka6TY\g vvxTog 0Qa^r\6£TaL. 

"Otl 6e £KaT£Qa toov B£ rN ixaT£Qag toov HZ 10 

Z® {ieC^gov e6tC, cpav£QOv. SxaTEQa yaQ toov HZ Z® 

dvd rj[iL6v e6tlv t,oodCov (tovtco yaQ £%Qrj6d[iE&a xal 

iv too TtEQL 0Lxrj6£03v)' r) H@ ccQa ^codCov e6tCv, S6TE 

(£@)xul r) AM' r\ aQa NM& dvo ^codCoov e6tC % koLTtr) uQa 

(vr\) 'Ensi yaQ rjfifKvnXtov r\ HMA, t\iil%vv.Xlov ds yial rj 15 
@AM, i'or\ ccqcc r\ HMA tr\ ®AM. %OLvr\acprjQr\G^co r\ MA' 
Xomr\ ccqcc r\ HM XoLnfj xr\ @A i'or\ iatCv • cbv r\ HB tr\ &T i'or\ 
sotC * * * XoLnrj ccqcc r\ B& XoLnfj tij TN i'ar\ satCv. 

(v&) 'Qg dsi&L. ^ 

(|) TovtsatL tccg [isC^ovg r\[iCoovg ^codCov, o sati tcov is' 20 
[ioqCcov, snsidr\ vnonsLtaL, ls fioiQCcg ccns%ovtog tov r\XCov dnb 
toy oQt^ovtog vnb yr\v, tb ccotQov noisZo&ccL cpdoLV. tovtov 
ovv tccg [isCgovg dns%ovtog tov rjXCov vnb yr\v ccnb tov oql^ov- 
tog, noXXco nXsov OQcc&r\ostccL tcc ccotQcc' sl yccQ tccg HZ Z® 
vno yf\v ovoccg ccns%ovtog tov rjXCov tcc ccotQCC scpccCvsto, noXXcp 25 
nXsov tccg [isifcovg ccvtcov vnb yrjv ovoccg ccns%ovtog cpccCvstcci. 

(£a) EC yccQ tr\v TN vnb yr\v ovoccv dLccnoQSvofisvcv sopcci- 
vsto tcc ccatQcc, y.ccl tr\v NM& ccqcc vnb yr\v ovoav dianoQSvo- 
[isvov nccvta cpaCvstat' scpaCvsto yaQ nal tr\v EB dianoQSvo- 
(isvov. 30 

(|(3) 'Ensl yaQ r\[LLY.vY.XCov r\ GBM, r\(iLHVnXiov ds v.al r\ 
HMA, i'or\ aQa r\ @BM tr\ HMA. v.OLvr) acprjQr^od-co r\ HM' 
XoLnr\ aQa r\ HS XoLny tij MA i'or\. 

1) Conf. g%oXlov v£ et in appendice 28. 

2) Conf. o%6Xlov vr\ et in appendice 29. 

3) Ut ostendetur inferius. AURIA in marg. p. 26 (conf. 
g%6Xlov v&). 



DE ORTIBUS ET OCC. I. PROPOS. 10. 



93 



esse 1 ); ergo arcus yl ipsi /3ft aequalis, itaque etiaui 
yv ipsi /3£ aequalis est 2 ). Et est /3£ uiaior quam ??£, 
et yv maior quam &0 ,3 ) ? quo autem maiorem circum- 
ferentiam sol sub horizonte distat, eo magis astra 

radios eius effugi- 

unt 4 );itaque, qua- 

lis nunc est posi- 

tio circuli zodiaci, 

dum sol circum- 

f ferentiam v(i% per- 

currit, omnia 

astra, quae sunt 

in circumferentia 

/%, apparent 5 ); 

ergo etiam astrum 

% apparebit; ergo 

astrum k omnibus 

noctibus conspicietur. 

Sed arcum /3£ maiorem esse quam ^f, et yv ma- 
iorem quam ffr, apparet. Nam uterque arcuum r\% 
£-9- dimidia pars eius circumferentiae est, quam unum 
zodiaci signum obtinet 6 ) — hoc enim lemmate etiam 
in libro de habitationibus usi sumus 7 ) — ergo arcus 
qfr unum signum obtinet 8 ); itaque etiam arcus Aft 9 ); 
ergo arcus v^% duo signa obtinet 10 ); ergo arcuum, 

4) Conf. 6%oXiov £ et in appendice 30. 

5) Conf. 6%oXiov |a et in appendice 31. 

6) f grad. 15.' AURIA in marg. p. 26. 

7) Prop. 10. 11. 12. Theodosii. AURIA ibidem. 

8) c grad. 30.' IDEM. 

9) Est enim ipsi r}& aequalis. IDEM. 

10) f grad. 60.' IDEM. Praeterea conf. 6%6hov |(3 et in 
appendice 32. 




94 nEPI EIHTOA&N KAI AT2E&N A. 

sxatEQa toov H& &N dva ts66aQoov r)\iC6ovg ^oodCoov 
s6tCv. oov sxatsQa toov BH ®T dva dvo rj\it6v %op- 
dCoov s6tCv XocTtrj aQa sxateQa toov B& TN dva dvo 
^opdCoov s6tCv oo6ts sxatsQa toov B& TN snatsQag 
toov HZ Z® (lsC£gov s6tCv. 5 

(ly) td '. Ovftsv toov sitl tov toov ^codCoov zvxXov a6tQoov 
6cpd"r)6£tat (psQoyiSvov okov tb cpavsQOV r)\it6cpaCQtov 
ovds toov poQSLOtsQcov, o6a ds 7tQog tis6rni(}QCav ov 
%avtdita6iv %Xr\6Cov s6tl tov toov ^opdCoov xvxAov, sv- 
6s%stat ocp&rjvat cpSQo^isva oXov tb cpavsQOv rjpt- 10 
6cpaCQtov. 

"E6too sv ko6^oo oqC^oov 6 ABTA, ^codtaxbg ds o 
dBE, a6tQa ds ttva TtQog dvatoldg td A z/ JT ? tb 
{isv A s%\ tov tcov ^opdCoov xvxAov, tb ds A %Qog 
aQKtovg, tb ds r TtQog {is6r\[i(5QCav ' Xsyoo ott ovts tb 15 
z/ 6cp&r\6stat (pSQo^svov olov tb cpavsQov r)[it6cpaCQtov, 
ovts tb A) ttva ds toov TtQog [i£6r\[i(5QCav, cog tb JH, 
ivds%stat ocp&rjvat cpsQO^Eva okov tb cpavsQOV r\[it- 
6cpaCQtov. 



(|y) Tovtsgtlv sv picc vvy.%1 ovdsv tcov ccgtqcov ocp&rJGSTCCL 20 
hccl ccvcctsXXov nccl dvvov, tovtsgtl hccl sgtisqiov snvtsVkov %cci 

SCOOV SVVOV. TtOTS Ss OCp&TJGSTCCL SV (ILCC VVHTL %Cc\ CCVCCTSXXOV 
HCCL dvVOV, SQSL SV TCO fi . 



1) Scilicet uterque arcuum j3£ yv 4 1 /, — 27 2 , id est duo 
signa, uterque autem arcuum r\% ^fr dimidium signum obtinet. 
Auria locum sic interpretatur et in margine haec addit quae 
nos inter uncinos adscribimus: 'et reliquarum igitur circumfe- 
rentiarum, altera scilicet r\% et altera ftv, quattuor dimidia 
signorum compraehendit : quarum altera firj et #y duo habet 
signorum dimidia (utraque grad. 30): reliquarum igitur altera, 
scilicet |3§, et altera yv simul duo signa continet (utraque si- 
rhul grad. 60). Quare |3£ et yv utraque, utraque et r\£ et £9- 
maior est/ 



DE ORTIBUS ET OCC. I. PROPOS. 11. 95 

qui restant, r]% &v uterque quattuor signa et dimi- 
dium obtinet. Sed uterque arcuum fiiq %y duo signa 
et dimidium obtinet; ergo arcuum, qui restant, /3£ yv 
uterque maior est quam rj% gfr 1 ). 

XI. Nullum eorum astrorum, quae in circulo zo- n ' 
diaco aut propius ad septentriones sunt, per totum 
conspicuum hemisphaerium ferri videtur 2 ), quae autem 
astra versus meridiem nec plane propinqua circulo zo- 
diaco sunt, fieri potest ut per totum conspicuum he- 
misphaerium ferri videantur. 

Sit in mundo horizon afiyd, zodiacus autem dfie, 
astra autem quaedam versus orientem sint a d y s ), 

et d quidem in circulo 
zodiaco, a autem versus 
septentriones , denique y 
^versus meridiem; dico ne- 
que d astrum neque a per 
totum conspicuum hemi- 
sphaerium ferri videri, 
quaedam autem eorum, 
quae sunt versus meridiem, 
velut y, fieri posse ut ferri 
videantur per totum con- 
spicuum hemisphaerium. 

2) Conf. a%6liov |y et in appendice 33. 

FIGURAM Becundnm verba scriptoris delineavimus ; in 
codicibus ACE praeter horizontem ccdyfi nihil exstat nisi zo- 
diacus ccde et arcus yr\ paralleli circuli, per quem y fertur; 
sed yrj quidem circumferentia multo maior apparet, quam ut 
iXccaacov rj bfioicc zrjg do&SLarjs nsQLCpSQSLccs cet. (p. 96, 18) dici 
possit. 

3) Orientales partes sint cc d, occidentales (3 rj. AURIA 
in marg. p. 30. 







96 nEPI EIHTOA&N KAI AT2E&N A. 

"E6xoo yaQ V7tb yfjv xb AEB 7][ilxvxXlov, xal <pcu- 
vsGd-co xa A A T dvatiXXovta tov rjXCov bvtog 7tQog 
too E. iitsl ovv ta iid tov £<pdt,axov aGtga xata 
diayiEtQOv bvxa xatd 6vt,vyCav dvatiXXsL xal dvvsi, 
rov aoa z/ dvvovtog tb xata did^iEtQOv avtoo tb B 5 
dvatiXXsL, xal tb /1EB rjtiLXVxXLOV iv xoo vnsQ yfjv 
s6xat' rjiiiQag ccQa dvvst xb /1 cc6xqov' ovx aQa xb z/ 
cc6xqov ocp&rj^sxai, cpEQO^isvov bXov xb cpavsQov r){iL- 

(£0) 6cpaiQL0v. xal iitsl xd A A o\jlov dvatiXXsL xal s6ti 
tb A TtQog aQXtovg, v6tsQov ccQa- dvvst tb A tov A. 10 
7}{iiQag ds dvvsu tb A' xal tb A aQa r)[iiQag dv6stav' 
oo6ts xl A ovx 6<p&r}6staL (pEQopsvov bXov tb cpavsQOV 
r][iL6(paLQL0v. itdXtv iitsl td T z/ b[iov dvatiXXst, t6 
A ccQa tov T v6tSQ0v dvvEt' 6o6ts ivdi%staC XLva 
a6XQa TtQog yLE6r]LifiQCav Xr\yp&r\vaL oo6ts cpavfjvaL avta 15 

(SO <psQO[i£va bXov tc cpavsQov r\\LL6<paCQL0V xal yaQ iv 
di%sxaC tLva xvxXov yQacpr\vaL chg tbv TH, xal tr)v 
TH VTtsQ yfjv avtov ov6av TtsQtcpiQSLav iXa66ova slvaL 
r\ byLoCav trjg dodsC6rjg 7tsQL<pEQsCag tov JtaQaXXrjXov 
xa& 7 ov cpiQStai 6 7]Xlo$ iv <p rj EA TtSQtcpiQSLa tov 20 
^oodtaxov dvatiXXsL. 

(£?) l$' . Toov a6tQcov olg aitb trjg scpag dXrj&tvrjg iitt- 
toXfjg sooa dXrj&Lvr) 6v6Lg yCyvstaL 6V iXa66ovog %qo- 
vov r){iC6ovg ivLavtov, <h iXa66oov i6xlv 6 %Qovog 
r)\iC6ovg ivLavtov, xovxov xbv %qovov xb cc6tQov xal 25 

(gtf) Altt XOV &' XOV 71EqI 7UVOV[lSVr]Q 6CpttLQttg. 

(ls) Tov yccQ tjXlov vnb yf\v bvxog nccxd [isCgovog xfjg JE 
n SQLcpEQsCag, iXcixxovog dl avxfjg xfjg FH, sv 06cp xb nav aysi 
xf}V Ed UEQicpEQEiav v7ib yfjv ov6av, 7] m cpaCvExai 8lEQ%0- 
[isvr], ag iv ildxxovi %qovco ttqo xov xbv r\Xtov dvaxEiXai 81- 30 

10V6U XO CpttVEQOV f)lLl6CpttLQlOV. 

(|g) 'Qg iv xq> id' ^scoQ^ficcxi tceqi xcqv cpcuvopsvcov. 



DE ORTIBUS ET OCC. I. PROPOS. 12. 



97 



Sit enira seinicirculus de(5 sub terra, et astra a 8 
y oriri videantur, cum sol est ad e. Iani quia astra 
in zodiaco iuxta diametrurn opposita coniugate oriun- 
tur et occidunt 1 ), astro igitur d occidente oppositum 
ei astrum /3 oritur, et semicirculus defi super terram 
erit; ergo astrum d interdiu occidit, itaque non per 

totum conspicuum hemi- 
sphaerium ferri videbitur. 
Et quia astra a d simul 
\^ oriuntur, et astrum a versus 
septentriones est 7 posterius 
igitur a quam d occidit 2 ). 
Sed interdiu d occidit; ergo 
etiam a interdiu occidet; 
itaque a non per totum con- 
spicuum hemisphaerium 
ferri videbitur. Rursus quia 
astra y d simul oriuntur, 
d igitur posterius quam y occidit 2 ); ergo astra quae- 
dam versus meridiem sumi possunt, quae per totum 
conspicuum hemisphaerium ferri videantur; namque 
etiam circulus 7 velut yv\ y describi potest, cuius circum- 
ferentia yrj, quae sit super terram, minor sit quam 
similis datae circumferentiae eius circuli paralleli, per 
quem sol fertur, dum zodiaci circumferentia sd oritur 3 ). 
XII. Si quae astra ab ortu vero matutino occasum 
verum matutinum minore quam dimidii anni spatio 
intermisso faciunt, haec eo tempore, quod de dimidio 




\ 



Prop. 
12 



1) Eucl. phaenorn. 6. 

2) Autol. de sphaera 9 (conf. 6%oUov £,8). 

3) Conf. 6%6liov |e et in appendice 34. 

Autolycus. 



98 nEPI EIIITOASN KAI atse^n a. 

dv6sxat xa\ dvaxsXst xov r)XCov oVrog sv xcp vitb yrjv, 
aXXov ds xovxcp l'6ov %qovov xb cc6xqov ovxe dv6sxat 
ovxs dvaxsXsl xov r)XCov ovxog sv xcp vtco yrjv. 

"E6xco sv xo6{i(p oqi^cov xvxXog 6 ABTsd , 6 ds 
xov r)XCov xvxXog fts6tv s%sxco cbg xr)v AETZ,, xaC, 5 
xov r)XCov dvaxsXXovxog xaxd xb A, cc6xqov xt 7tQog 
[is6r]{iPQCav dvaxsXXsxco xb z/ # xcp aQa z/ a6XQ<p r) 
aTtb scoag dXrj&tvijg sittxoXr)g scpa dXrj&tvr) dv6tg yC- 
yvsxat dt sXa66ovog %qovov 
r){it'6ovg svtavxov' Xsyco drj ort, 
cp sXa66cov s6xlv 6 %Qovog r){iC- 
6ovg svtavxov, xovxov xbv %qo- 
vov xb z/ cc6xqov xa\ dv6sxat 
xa\ avaxsXsi xov r)XCov bvxog sv 
xcp vTtb yrjv, aXXov <Ts xovxco 

l'60V %QOVOV XO Z/ O.6XQ0V ovxs 

dv6sxat ovxs dvaxsXsl xov r)XCov ovxog sv xcp vitb yrjv. 
(££) "E6xco yccQ xcp z/ cc6xqco r) dXrj&tvrj scpa dv6tg xov 
r)XCov ovxog TtQog xcp E' 6 aQa %Qovog sv cp 6 r)Xtog 
xr)v AE TtSQtcpSQSiav dtajtOQSvsxat cctco scpag dXrj&tvrjg 20 
STttxoXrjg s6xt %QOVog yts%Qtg scpag aXrj&tvrjg dv6scog 
xov z/ cc6xqov cp aQa sXa66cov s6xlv 6 %Qovog rjpC- 
6ovg svtavxov, 6 %Q6vog s6x\v sv cp 6 rjXtog xr\v TE 
TtSQtcpsQStav dtaitOQSvsxat. xa\ sits\ xov z/ cc6xqov 
dvaxsXXovxog xaxd xb z/ ais\ l xcov t,cpdCcov xvxXog 25 

(g£) Tov {i8v yccQ A dvvovxog 6 £cpdiay.bg xr\v efinaXLv &i- 
giv £%£L, ncci xb AEV 7\illy.vy,Xlov vnsQ yr\v saxcci. insLdr) d? 
xb A KQodvvBL xov A dia xb &' xov tzsql YLvovfisvrjg acpaLQag, 
xov ccqcc A Svvovxog xb avvccvaxsXXov avxm iv xm vnsQ yr)v 
iaxuL t\\liy.vy.Xl(q , xovxiaxLv in\ xov AET, olov xb E' xov ccqcc 
t)Xlov HQOQ xm E bvrog, xov z/ iaxlv rj ccXrj&ivrj icpcc Svaig. 30 




DE ORTIBUS ET OCC. I. PROPOS. 12. 99 

anno deest, et occident et orientur, dum sol erit in 
hemisphaerio quod sub terra est, altero autem aequali 
tempore neque occident neque orientur, dum sol erit 
in eodem sub terra hemisphaerio. 

Sit in mundo circulus horizon afiyd , solis autem 
circulus positionem habeat velut aey£, et sole in a 
oriente astrum aliquod d versus meridiem situm oria- 
tur; ergo astrum d ab ortu vero matutino occasum 
verum matutinum facit minore quam dimidii anni 
spatio intermisso *); iam dico eo tempore, quod de 
dimidio anno deest, astrum d et occasurum et oritu- 
rum esse, dum sol erit in hemisphaerio quod sub terra 
est, altero autem aequali tempore astrum d neque oc- 
casurum neque oriturum esse, dum sol erit in eodem 
sub terra hemisphaerio. 

Sit enim astri d verus occasus matutinus, cum sol 
est ad e 2 ). Quo igitur tempore sol arcum ae pereurrit, 
eodem astrum d ab ortu m^tutino vero ad occasum 
matutinum verum pervenit; tempus igitur, quod de 
dimidio anno deest, illud est, quo sol arcum ey per- 
currit. Et quia, cum astrum d in puncto d oritur, 



FIGURA similis exstat in codicibns ACE, efc est aequalis 
illi quam ad propos. 5 p. 70 edidimus. 

1) Ex hypothesi astri 8 est ortus verus matutinus, cum 
8ol ad a oritur; eiusdem autem astri, ut scholio |£ demon- 
stratur, occasus verus matutinus fit, cum sol est ad e; ergo, 
dum sol arcum as percurrit, astrum 8 ab ortu vero matutino 
ad occasum verum matutinum pervenit (conf. p. 98, 19 — 22). Et 
tempus, quo sol arcum ccs percurrit, minus est dimidio anno. 
Conf. similem demonstrationem in fine Graeci scholii £r) sive 
Latini 36. [Quod Auria in marg. p. 32 propositionem 11 huius 
libri citat, respexisse videtur verba astrum dliquod 8 versus 
meridiem situm, sed tamen haec ab illa propos. aliena sunt.] 

2) Conf. 6%iliov |£ et in appendice 35. 

7* 




100 nEPI EIIITOA&N KAI ATSE&N A. 

&e6lv s%sl xr)v avxrjv, xal s6xaL xb psv AET r\\n,LXv- 
xXlov iv xco vtco yrjv, xb ds XoLitbv iv xcp vTtsQ yrjv 
xb TZA. xal xoivvv, oxav xb A dvaxiXXr\ xal b r\XLog 
xr)v AET TtSQicpiQSiav dLa7t0Qsvr\xaL, iv xcp vTtb yrjv 
avxr)v disXsv6sxaL ' co6xs xal xr)v TE ' xov aga rjXiov 5 
xr)v TE TtsQicpiQsiav dLaitOQSvo^ivov iv xcp vitb yrjv, 
xb z/ cc6xqov dvaxiXXst [iiv, ov Jtdvxcog ds xal cpavr\- 
6sxaL dvaxiXXov. xsi6&co dr) xfj ET TtSQLcpSQsia i'6r\ 
xs xal ditsvavxiov r) AZ, xal insl xov z/ cc6xqov i6xlv 
r) scpa dXr\&Lvr) dv6Lg xov r\Xiov ovxog itQog xco E, 10 
drjXov cog xov z/ dvvovxog 6 r\XLog dvaxsXXsL xaxd xb 
E xal sxl xb {isv ETZ t\\ilxvxXlov iv xcp VTtb yr\v 
s6xaL, xb ds XoLitbv iv xcp vjcsq yrjv xb ZAE' xal 
xoivvv, oxav xb A dvvr\ %al 6 rjXLog xr)v ETZ txsql- 
cpiQSLav dLaitOQSvr]xaL) iv xco VTtl yr)v avxr)v dtsXsv- 15 
6sxaL' co6xs xal xr)v ET' xov aQa r)Xiov xr)v ET txsql- 
cpiQstav dLa7toQSvo[iivov iv xcp vtio yr)v, xb z/ ol6xqov 
Svvsl. idsi%&r\ ds xai, xov r\Xiov xr)v ET TtSQLCpiQScav 
6La7toQsvo{iivov iv xcp vitb yrjv, xb A cc6xqov dvaxiX- 
XoV xov aQa r)Xiov xr)v ET TtSQtcpiQSiav §Lait0QSV0- 20 
pivov iv xco V7tb yr\v, xb z/ cc6xqov xal dv6sxaL xal 
dvaxsXsl. Xiyco dr) oxl, xov r)Xiov dLa7tOQSVo[iivov 
xr)v ZA TtsQLcpiQSLav vjtb yrjv, xb A cc6xqov ovxs dv- 
vsl ovxs dvaxiXXst [xov r)Xiov bvxog iv xcp vnb yrjv], 

'Ensl yaQ xov z/ cc6xqov dvaxiXXovxog xb psv AET 25 
r jilxvxXlov iv xcc vTtb yrjv i6xLV, xb ds TZA iv xcp 
VTtsQ yrjv, xal xoivvv, oxav xb z/ dvaxillr\ xal b r)XLog 
xr)v TZA itSQLCpiQSLav 6La%0QSvr\xaL, iv xcp vTtsQ yrjv 
avxr)v 6Lsksv6sxaL' co6xs xal xr)v ZA' xov aQa r)Xiov 
xr)v ZA TtSQLCpiQSLav iv xcp vitsQ yrjv dLa7tOQSvo{iivov 9 30 
xb /4 cc6xqov dvaxikXsL. TtdXtv, iitsl xov z/ dvvovxog 



DE ORTIBUS ET OCC. I. PROPOS. 12. 101 

zodiacus circulus semper eandem positionem habet, et 
semicirculus asy sub terra ; reliquus autem yt,a super 
terram erit ; cum igitur d orietur et sol semicirculum 
asy percurret ; hunc percurret in hemisphaerio quod 
sub terra est; itaque etiam arcum sy\ ergo cum sol 
arcum sy sub terra percurrit ; astrum quidem d ori- 
tur ; nequaquam tamen etiam oriens conspicietur. Iam 
pouatur arcui sy aequalis et oppositus arcus £a ; et 
quia astri d occasus verus matutinus est ; cum sol est 
ad s, apparet solem ; cum astrum 
d occidit ; in puncto s oriri ; et 
semicirculum syt, sub terra ; re- 
\fl liquum autem t,as super terram 
futurum esse; ergo etiam ; cum 
astrum d occidet et sol arcum 
syl percurret ; hunc percurret in 
hemisphaerio quod sub terra est; 
itaque etiam arcum sy) ergo ; cum sol arcum sy 
sub terra percurrit ; astrum d occidit. Sed demonstra- 
vimus etiam, cum sol arcum sy sub terra percurrit, 
astrum d oriri; ergo, cum sol arcum sy sub terra 
percurret ; astrum d et.occidet et orietur. Iam dico, 
cum sol arcum t,a sub terra percurrit ; astrum d ne- 
que occidere neque oriri. 

Quoniam enim ; cum astrum d oritur, semicirculus 
asy in hemisphaerio sub terra ; semicirculus autem y%a 
super terram est ; cum igitur astrum d orietur et sol 
arcum y£a percurret ; hunc super terram percurret; 
itaque etiam arcum £a; ergo ; cum sol arcum tpL super 
terram percurrit ; astrum d oritur. Rursus ; quia astro 
d occidente semicirculus t,as in hemisphaerio super 





102 nEPI EIIITOA&N kai atse^n a. 

tb [iev ZAE rjiLixvxXiov iv tco v%eQ yf\v i6tLV tb de 
ETZ iv tco v%b yrjv, xal toivvv, otav xb A dvv?\ 
nccl 6 r\XLog tr)v ZAE %eQLCpeQeLav 6La%,0Qevr\taL^ iv tco 
v%\q yrjv avtr)v 6LeXev6etaL' co6te xal xr]v ZA' xov 
aoa r\Xiov xr)v ZA dLa%OQevo^iivov iv tcq v%eQ yfjv, 5 
xb /1 (x6xqov xal dv6exai xal dvateXel' &6xe, xov 
r\Xiov xr)v ZA TteQicpEQeiav dLa%OQ£vo[iivov iv xco v%b 
yr)v, xb A cc6xqov ovxe dv6exat, ovxe avaxelel. 

ly . Tcov cc6xqcov olg d%b xfjg ecoag dXrj&Lvrjg i%L- 
xoXrjg ecoa aXr\$Lvr) dv6ig yiyvexai dia %Xsiovog %qo- 10 
vov r){ii6ovg ivtavxov, co Ttkeicov i6xlv 6 %QOVog r){ii- 
6ovg ivtavxov, xovxov xbv %qovov xb oc6xqov ovxe 
dv6exai ovxe dvaxsXst xov r)Xiov ovxog iv xco v%b yfjv, 
dXXov de avxco l'6ov %qovov xai 6v6exai xb <x6xqov 
Ttal dvaxeXev xov r)Xiov ovxog iv xco vitb yrjv. 15 

"E6xco iv xo6^ico oqHIcov 6 ABTA, 6 de xov r)Xiov 
xvxXog fri6LV i%ixco xr)v AETZ, v%b yrjv de s6xco xb 
AET r)[iLXvxXLOV, xal xov r)Xiov dvaxiXXovxog xaxd xb 
A a6xQa XLva xcov ditXavcov dvaxeXXixco xd A B A^ 
(lr\)xal s6xco %Qog ccQxxovg xb B' xco B ccQa a6tQco r) d%b 20 
ecpag aXr\%Lvf\g i%LtoXr\g ecoa dXr\&Lvr\ dv6ig yiyvetav 
d^a %Xeiovog %qovov r\[ii6ovg ivLavtov ' Xiycor dr) ott 
co %Xeicov i6xlv 6 %Qovog r\[ii6ovg ivLavxov, tovtoi/ 
tbv %qovov xb B a6XQOv ovts dv6etav ovts dvateXel 



(£ri) Tov iisv yccQ A dvvovxog 6 £aj8iccx.6g xr)v slittccXiv frs- 25 

GIV S^Sl, HCU XO AZT rjflLV.VKXLOV V710 yf[V SGTCCL. S7lSLSrj Ss to 
B XOV A vgxsqov Svvsl dicc XO &' XOV USQL y.LV0V(lSV7jg GcpcciQtxg, 
xo ctQCi gvvccvccxsXXov ccvxo) sv xa> V7c6 yr\v sgxccl rjiu-nvxXicp, 
(xovxsGXLvy hv xoj AZr, olov xo Z' xov ocqcc r)Xi'ov TtQog xoj Z 
ovxog, xov B scxlv rj sopcc ccXrj&tvrj SvGLg, wgts xov yjXlov xrjv 30 

ATZ TlSQlCpSQSLCCV dlCC7l0QSV0flSV0V , XOV B CCGXQOV SGXLV rj CCTCO 

scpccg ccXrj&Lvrjg s7axoXr)g scocc ciXrj&Lvr) dvGig, ■accl sgxl lisl^oov 
TJLlLGOVg iviocvxov. 



DE ORTIBUS ET OCC. I. PROPOS. 13. 103 

terrani et semicirculus By% sub terra est ; cum igitur 
astrum d occidet et sol arcum %ae percurret ; huuc 
super terram percurret; itaque etiam arcum g«; ergo ; 
cum sol arcum %a super terram percurret ; astrum d 
et occidet et orietur; itaque ; cum sol arcum %a sub 
terra percurret ; astrum d neque occidet neque orietur. 

XIII. Si quae astra ab ortu vero matutino occa- 13 ' 
sum verum matutinum maiore quam dimidii anni 
spatio intermisso faciunt, haec eo tempore ; quod di- 
midium annum superat, neque occident neque orien- 
tur, dum sol erit in hemisphaerio quod sub terra est ; 
altero autem aequali tempore et occident et orientur ; 
dum sol erit in eodem sub terra hemisphaerio. 

Sit in mundo horizon afiyd, solis autem circulus 
positionem habeat velut asyt,, semicirculus autem asy 
sub terra sit ; et sole in a oriente astra quaedam fixa 
a /3 d, quorum /3 sit versus 
septentriones ; oriantur; ergo 
astrum /3 ab ortu vero matu- 
tino occasum verum matutinum 
facit maiore quam dimidii anni 
spatio intermisso x ) ; iam dico 
eo tempore, quod dimidium an- 
num superat, astrum /3 neque 
occasurum neque oriturum esse ; dum sol erit in he- 
misphaerio quod sub terra est ; altero autem aequali 




FIGURA similis exstat in codicibus ACE, et est aequalis 
illi quam ad propos. 4 p. 63 post vs. 3 edidimus. 

1) Conf. 6%6Uov £77 et in appendice 36. 



104 nEPI EIIITOA&N KAI AT2E&N A. 

rot> r)XCov bvxog iv xco vnb yrjv, aXXov de xovxcp l6ov 
XQOvov xb B cc6xqov xa\ 6v6exat xa\ dvaxeXel xov 
r)XCov bvxog iv xcp vnb yr)v. 

"E6xco yaQ xov B cc6xqov r) ecoa aXr\&tvr\ dv6tg xov 
r)XCov dteXd-ovxog xr\v AETZ neQtcpi^etav xa\ bvxog 5 
TtQog xcp Z' cp aQa nXeCcov %Qovog i6x\v r\[iC6ovg ivi- 
avxov, 6 XQovog i6x\v iv cp 6 r\Xtog xr\v TZ neQtcpi- 
Qeiav dtanoQevexat' Xiyco ort, xov r\XCov xr\v TZ dta- 
noQevopivov iv xco vnb yrjv, xb B cc6xqov ovxe dv- 
6exat ovte dvaxeXet. 10 

'Enet yaQ, bxe xb A dvaxiXXet, xb [iev AET i6x\v 
iv xcp vnb yrjv, xb de TZA iv xco vneQ yrjv, xa\ xoC- 
vvv, bxav xb B dvaxiXXr\ xa\ 6 r\Xtog xr)v TZA dta- 
7toQevr\xat, iv xco vneQ yr\v avxr)v 6teXev6exat' co6xe 
xa\ xr\v TZ' xov aQa r\XCov xr\v TZ dtanoQevo^iivov 15 
iv xco vjteQ yrjv, xb B cc6xqov avaxiXXet [iiv, ov <pa- 
vr\6exat de dvaxiXXov. xeC6&co dr\ xf\ TZ i'6r\ xe xa\ 
dnevavxCov r\ AE, xa\ ine\ xov B t cc6xqov i6xlv r) 
aXr\fi-tvr\ ecoa dv6tg xov r\XCov bvxog TtQog xcp Z, xov 
aQa B dvvovxog 6 r\Xtog avaxiXXet xaxcc xb Z. bxav 20 
de xb Z dvaxiXXr\, xb E dvvet. xa\ e6xat xb [iev ETZ 
r\\xixvxXtov iv xco vneQ yrjv, xb de ZAE iv xco vnb 
yr)v xa\ xoCvvv, bxav xb B 8vvr\ xa\ 6 rjXtog xr\v 
ETZ dtanoQevr\xat, iv xco vneQ yrjv avxr)v dteXev6e- 
xaf co6xe xa\ xr\v TZ' xov aQa r)XCov xr\v TZ neQt- 25 
cpiQetav dtanoQevopivov iv xcp vneQ yrjv, dvvet [iev 
xb B cc6xqov, ov cpavr\6exat di' xov ccQa r\XCov xr\v 
TZ TteQttpiQetav 6tanoQevo[iivov iv xco vneQ yrjv, xb 
B cc6xqov xa\ dvvet xa\ dvaxiXXet' co6xe xov r)XCov 
xr\v TZ TteQttpiQetav dtanoQevoytivov iv xco vnl yrjv, 30 




DE ORTIBUS ET OCC. I. PROPOS. 13. 105 

tempore astrum /3 et occasurum et oriturum esse, dum 
sol erit in eodem sub terra hemisphaerio. 

Sit enim astri /3 occasus verus matutinus, cum sol 
circumferentiam aayt, percucur- 
rit et ad % pervenit; tempus 
igitur, quod dimidium annum 
superat, illud est, quo sol ar- 
cum y% percurrit; dico, dum sol 
arcum yt, sub terra percurret, 
astrum /3 neque occasurum ne- 
que oriturum esse. 
Quoniam enim, cum astrum a oritur, semicirculus 
asy in hemisphaerio sub terra, semicirculus autem ytp, 
super terram est, cum igitur astrum /3 orietur et sol 
semicirculum y%a percurret, hunc super terram per- 
curret; itaque etiam arcum y£; ergo, cum sol arcum 
y% super terram percurret, astrum quidem /3 oritur 
neque tamen oriens conspicietur. Iam ponatur arcui 
y% aequalis et oppositus ae 7 et quia astri /3 occasus 
verus matutinus est, cum sol ad g 1 ), astro igitur /3 
occidente sol in puncto g oritur. Sed cum g oritur, 
s occidit 2 ). Et semicirculus eyt, super terram, semi- 
circulus autem \as sub terra erit; ergo etiam, cum /3 
occidet et sol semicirculum sy% percurret, bunc per- 
curret in hemisphaerio quod super terram est; itaque 
etiam arcum y%\ ergo, cum sol arcum yt, super terram 
percurrit, astrum quidem /3 occidit neque tamen con- 
spicietur; ergo, cum sol arcum yl super terram per- 
currit, astrum /3 et occidit et oritur; itaque, cum sol 

1) Ut ponitur. AURIA in marg. p. 35. 

2) Eucl. phaenom. 6. 



106 nEPI EIHTOA&N KAI ATSE&N B. 

to B cc6tqov ovxe dv6£vcu ovTS dvuTekei. keyco dr) 
oTt, tov r)ktov tv\v AE TtsoLfpeoeiav dtaTtoQevo^ievov 
ev Tip vno yr)v, to B ccGtqov xal dv66Tut xul dvuTekei. 
'Ejtel yccQ tov B dvuTekkovTog to [iev AET r^t- 
xvxktov ev rcj vitb yrjv e6Tt, to de TZA ev tc5 VTteQ 5 
yrjv, xul TOtvvv, otuv to B dvuTekkr] xul 6 r)ktog Tr)v 
AET dtuTtOQevrjTut, ev tcj v%6 yrjv uvTr)v dtekev^eTut' 
&6T6 xul Tr)v AE. Ttdktv, enel tov B dvvovTog to 
[ihv ZAE 66tIv ev tcj v%6 yrjv to de ZTE ev tc5 
v7teQ yrjv, xu\ tolvvv, otuv to B dvvrj xul 6 % r)ktog 10 
Tr)v ZAE dtuTtoQevrjTUt, ev tco V7t6 yr)v uvxr)v dtekev- 
6eTar co6T6 xal Tr)v AE' tov uqu r)ktov Tr)v AE 

7t6Qi(p6Q6iaV dtU7tOQ6VO[l6VOV 6V TC3 VTtO yrjv, TO B 

u6tqov xal dv66Tai xal dvuxekei. 



AYTOAYKOY 15 

HEPI EIIITOAftN KAI AT2E&N 

TO B. 



(a) u. Toi £<pdiaxov ev dcodexuTrj^ioQtov, ev co e6Ttv 
6 ijktog, ovTe eTtiTekkov ovTe dvopevov oQUTut, dkkd 
XQvtytv dyov' opotag de xal to xutu dtd{i6TQOv avrcj 20 
OVT6 dvvov ovTe 67ttTekkov ftecoQ^iTUi, dkk' okag Tug 
vvxTug VTteQ yrjg cpatv6{ievov. 



(cc) doadt-ACCTriiiOQiov Xsysi ovts v.cct a6TSQi6[ibv ovts -Acctct 
dcodsKCCTCc, chg siicc&opsv, (tovov, olov kqiov 77 tccvoov, ccllcc 
dmdsucctov ov Trjg tov nccvtbg nsQicpoQccg, cccp' oi'ov ccv s&sXjjg 25 

6THISIOV tOV ^(pdlCCYJOV. 



DE ORTIBUS ET OCC. II. PROPOS. 1. 107 

arcurn yt, sub terra percurret, astrum /3 neque occidet 
neque orietur. Iam dico, cum sol arcum ae sub terra 
percurret, astrum /3 et occasurum et oriturum esse. 

Quoniam enim, cum /3 oritur, semicirculus aey in 
hemisphaerio sub terra, semicirculus autem y%a super 
terram est, cum igitur astrum /3 orietur et sol semi- 
circulum aey percurret, hunc sub terra percurret; ita- 
que etiam arcum as. Rursus, quia astro /3 occidente 
semicirculus t,ae sub terra, semicirculus autem £ye 
super terram est, cum igitur astrum /3 occidet et sol 
semicirculum £ae percurret, hunc sub terra percurret; 
itaque etiam arcum ae) ergo, cum sol arcum ae sub 
terra percurret, astrum /3 et occidet et orietur. 



AUTOLYCI 

DE ORTIBUS ET OCCASIBUS 

LIBER II. 



Propositiones. 

Prop. 

I. Zodiaci unum dodecateniorion 1 ), in quo esf sol, i 
neque oriens neque occidens conspicitur, sed occulta- 
tur; similiter etiam id, quod huic iuxta diametrum 
oppositum est ; neque occidens neque oriens videtur, 
sed per totas noctes super terram apparet. 



1) Conf. g%6\iov cc et in appendice 37 et 38. 



108 nEPI EIHTOA&N KAI AT2E&N B. 

"E6tco 6 tcov lcodtcov xvxXog 6 AB, oQit.ov 8e 6 
TA, xal dvaToXr) ytev tov r\Xtov e6Tco eitl toi> ^/ ? 

(§) dv6tg de B7il tov JT, xal 6 xo6[iog anb Trjg z/ dva- 
Tokrjg £7tl dv6tv Tr\v T 6tQecpe6%co^ 6 de r\Xtog etg tcc 
evavTia tco ^cjdtaxoj xtvefa&co, xal ccTteUrjcp&co ^codlov 5 
TteQtcpeQeta r) AE, xal Tet[Ar\6&03 8t%a xaTa ro Z* 
Xeyoo oTi r) EA iteQtcpeQeta otrrf ctvaTeXXovtia ovts 
dvvov6a oQccTac, ovde [ir)v i) xaTa did^tetQOv^ dkkd 
bkr\v Tr\v v%\q yr)v cpoQav cpaveQav 7totov{ievr\ tov 
r)Xtov bvTog vitb yr)v. 10 

'Eitel yaQ vitbxetTat Tag avydg excpevyetv t« a6TQa 
Tag tov r\Mov, eav tov OQit,ovTog vitb yr)v r\\it6v 
^oodtov d%e%r\ 6 rjXtog, r)\it6ovg de tlcddtov e6Ttv r) Zd 
TteQtcpeQeta , to£ ccQa r)ltov eiti tov Z bvTog to A 
a6TQ0v ecoav cpatvo\ievr\v dvaToXr)v TtotetTat' r) aQa 15 
ZA TteQtcpeQeta vvxTog dvaTelkov6a ov% OQaTat. drjXov 

(y)8e OTt ovde r) ZE dvaTelXov6a OQaTat' bXr\ aQa r) EA 
TteQtcpeQeta dvaTeXXov6a ov% oQccTat. 8ta tcc avTa 8r\ 

($)ov8e [8vvov6a oQccTat] bXr\ r) EJ 7teQtcpeQeta to£> 
r\Xtov bvTog eiti tov Z ome dvaTeXXov6a ovTe 8vvov6a 20 

OOooaTcu, ovdeffjir\v r) xaTa 8td{ieTQov avTr) r) TH' Tr)g 
yaQ E/d TteQtcpeQetag dvaTeXXov6r\g r) xaTa 8td\ietQov 

(<5)avTr\ r) m dvvet, Trjg 8e EA 8vvov6r\g r) xaTa 8td- 

((3) TOVZSGTL KCCXCl SL(Xll£TQOV. 

(y) 'E7t£Ldrj to z/ fiovov oqcctcci. noXXcp ds nXeov rj ZE ov% 25 

OQKTCiL, E7l8Ldf) 710,60. VTtO yf)V SGTLV. 

(d) Tov yccQ r)XCov ovTog inl tov Z to E dvvov oqcctul' 

TIQOSVVSL yCCQ OVTOV 6 rjXLOQ' (06TE r) EZ dl>V0V6O ov% OQCcTOI, 
£7t£L$r] TO E fJLOVOV OQCCTOL dvVOV. Ov6e KLr)v r) ZJ ' 71CC60 yccQ 

vtio yr)v £6tlv. 30 

(e) 'EnELdrj ycco 7iQor}yovn£v6v e6tl to T, tcqoteqov 8vvel 
tov H' 006TE r) VH. ov% oqcctol dvvov60' [jlovov yocQ to r 

OQOTUL dvVOV. 

(?) JLCC TOV ly TCOV CpOLVOLLSVOOV. 




DE ORTIBUS ET OCC. II. PROPOS. 1. 109 

Sit zodiacus circulus a/3 ? horizon autem yd, et 
ortus solis sit in puncto d f occa- 
sus auteni in y } et mundus ab 
ortu d ad occasum y conver- 
tatur, sol autem in contrarias 

y\ )<' zodiaco partes moveatur, et inter- 

$ cipiatur unius signi circumferen- 
e tia de eaque bifariam secetur 
in £; dico circumferentiam ed 
neque orientem neque occiden- 
tem conspici, neque vero alteram iuxta diametrum 
oppositain, quae quidem omnem super terram conver- 
sionem facit, dum sol sub terra est. 

Quoniam enim suppositum est astra solis radios 
effugere, si sol sub terra ab horizonte dimidii signi 
partem distet 1 ), circumferentia autem gd dimidii signi 
est 2 ) ? astrum igitur d, cum sol est ad g ? facit matu- 
tinum ortum apparentem; ergo circumferentia Jd 
non conspicitur noctu oriens. Sed manifestum est 
ne £f quidem circumferentiam orientem conspici 3 ); 
tota igitur ed circumferentia non conspicitur oriens. 
Iam eadem ratione tota ed circumferentia , cum sol 
est ad £, neque oriens neque occidens conspicitur 4 ), 
neque vero altera yrj, quae iuxta diametrum ei oppo- 
sita est 5 ). Nam dum circumferentia ed oritur, ipsa yr\ 

FIGURA similis extat in codicibus ACE, nisi quod litterae 
« £ latius inter se distant ac paene totum §d quadrantem 
obtinent. 

1) f grad. 15.' AURIA in marg. p. 38. 

2) Conf. in appendice scholium 40. 

3) Conf. 6%oXiov y et in appendice 41. 

4) Conf. 6%6Xiov 8 et in appendice 42. 

5) Conf. 6%6liov s et in appendice 43. 



110 IIEPI EIHTOA&N KAI AT2E&N B. 

{istqov dvatsXXsL' r) aga Ed TtsQLcpsQSLa ovts dvatsX- 
(£) Xov6a ovts dvvovCa ooatai, ovds {ir)v r) xatd did^istQOv, 
(rj) dXX' oXr\v tr)v vtcsq yrjg cpooav cpavsQav 7totov\isvr\. 
/3'. Tcov dcodsxa ^codCcov tb 7tQor\yov\Lsvov tov sv 
cb s6ttv 6 r)Xtog STtttsXXov scpov cpaCvstat, tb ds STto- 5 
[isvov sGTtsQiov dvvov. 

"Edtco 6 tcov ^codCcov xvxXog 6 AB, 6qC%cqv ds 6 
Jz/, xal dcodsxatrjpoQCov TtsQtcpsQSLa dcpr\Qr\6ftco r) E4, 
xal xatd \is6r\g avtrjg s6tco 6 rjfaog, xal rjyovpsvov 
[isv ro{5 r\XCov s6tco dcodsxatr^ioQtov tb AH^ dxoXov- 10 
ftovv ds tb E®' Xsyco ott r) psv /1H %SQicpsQSta scpav 
dvatoXrvv itoisitai, r) ds E® s67tsQCav dvtitv. 

r H psv yaQ AH itsQtcpsQSta vtisq r\\it6v ^cpdCov 
ttSQtcpSQsCag cc7ts%ov6a dvatsXXov6a oQatat, co6ts scoav 
(®) dvatoXr)v Ttotsltat, r) ds dE ov% OQtxtat dvatsXXov6a, 15 
(0 r) ds E® r){iSQag dvatsXXov6a ov% oQatat. 6tQScpo- 
[isvov ds tov xo6[iov r) psv AH TtsQtcpsQsta scpav 
dvatoXr)v 7totsttat, r) ds dE ov% OQatat dvats'XXov6a, 
( lcc )r) ds E® TtSQttpSQSta VTtsQ r)\it6v ^codCov 7tSQtcpSQSiag 
a7ts%ov6a cpaCvstat dvvov6a, co6ts s67tSQCav dv6tv 20 
TtotsltaL r) E®, r) ds /1H scoav dvatoXr\v. 



(£) 'ErtSidr) vno yr\v sgtl rtUGu. 

(tj) AvvovGr\g yuQ tfjg Ed nul xov E oqco[isvov Svvovrog 
%6 H xb srtopsvov uvutsXXov oqcctul, tov rtQOr]yov(isvov tov r 
vnsQ yr)v ovTog' cogts oXr\ vtisq yrjv oqutul. uvutsXXovgu ds 25 

OV% OQUTUl. 

(-9") dlCL TOV 7CQO UVTOV. 

(t) Jlcc to tov r\Xiov vtisq yrjv ovtcc acpuvr) ccvTr)v noislv 
tcqoccvutsXXsi yccQ uvTrjg. 

(lu) Tov yuQ rjXiov nQor^yoviasvov uvTrjg nui Slu tovto 30 

7CQ08vV0VT0g, OTS TO E SVVSL, ftSQLCpSQSlU 7] EQ CpULVSTUL 8v- 

vovGa, snsLdri to & vrtSQ yr\v sgtlv %u\ snoiisvov. -aul U71S%sl 
71UGU TOV TjXlOV V7VSQ tjlllgv £codiov. 




DE ORTIBUS ET OCC. II. PROPOS. 2. 111 

ei opposita oceidit, dum autem ed occidit, opposita 
oritur 1 ); ergo circumferentia ed neque oriens neque 
occidens conspicitur, neque altera quae ei opposita est, 
sed totum supra terram motum apparentem faciens 2 ). 

II. Ex duodecim signis id quod illud antecedit, Pr ° p - 
in quo est sol, mane oriens conspicitur, id autem quod 
sequitur vesperi occidens. 

g ^ Sit zodiacus circulus a/3, hori- 

zon autem yd, et dodecatemorii 
^ circumferentia auferatur ed, in 
L qua media sit sol, et antecedens 
soli dodecatemorion sit drj } se- 
quens autem #9-; dico circum- 
ferentiam dq matutinum ortum, 
Ji circumferentiam autem eft ve- 

spertinum occasum facere. 

Circumferentia enim drj } quoniam plus dimidiam 
signi circumferentiam distat, oriens conspicitur, ita- , 
que ortum matutinum facit, ipsa autem de non con- 
spicitur oriens, neque vero ipsa e& interdiu oriens con- 
spicitur 3 ). Sed dum mundus convertitur, circumferentia 
drj ortum matutinum facit, ipsa autem de non conspici- 
tur oriens; denique circumferentia e& plus dimidii signi 
circumferentiam distans occidens apparet 4 )-, itaque efr 
occasum vespertinum facit, drj autem ortum matutinum. 

1) Eucl. phaenom. 11 (aliter scholio Graeco s propositio 13 
citatur). 

2) Conf. g%6Xiov 7] et in appendice 44. 

FIGURA similis exstat in codicibus ACE, nisi quod ad 
quadrantem §d adscriptae sunt litterae & s £, eaeque aequali- 
bus fere inter § d spatiis dispositae. 

3) Conf. GyoXiov i et in appendice 45. 

4) Conf. GyoXiov ta et in appendice 46. 




112 nEPI EIIITOA&N KAI AT2E&N B. 

y . 'Ev tco trjg vvxtog %q6vco svdsxa ^codCcov tisql- 
(pEQSta &scoQEltaL, £jj [isv toov TtQoavatstaXxotcov, itsvts 
cTs toov dvatsXXovtcov. 

"E6tco toov ^codCcov xvxXog 6 AB, oqC^cov ds 6 TA, 
xal acprjQrja&G) ^codCov TtSQicpSQSia r) TE, xa\ tcsqi 5 
\is6rjv avtrjv s6tco 6 rjfoog ETtl ^ <L 

tOV Z. ETtsl OVV VTtOXELtaL tcc 

a6tQa sxcpsvysLv tag tov rjXCov 

avyag tov r)XCov ovtog ETtl tov „ / \ * 

Z to7tov, drjXov oti to T a6tQ0V \ j 10 

E67tsQCav cpaLV0[isvr}v 6v6lv itoi- 

sltaL. co6ts bXov ro TAA rjpL- 

xvxXlov £| ^codCcov s6tC' XotTtcov Q 

aQa ?fj ^codCcov v7taQ%6vtG)v sv tco TBA r)[iLXvxXC(p xal 

(i(l) svog %ats%opiEvov tov TE vtio tov r)XCov tcc XotTtd Ttsvts 15 
dvatsXXovtd s6ttv co6ts svdsxa ^codLa cpaCvstaL. 

d' '. Tcov dnXavoov a6tQcov o6a aTtoXa^dvstai vrtb 

(iy)tov ^mdtaxov STtl td TtQog ccQXtov r) STtl td TtQog 
lis6r]^QLav {JLSQrj, sxslva aTtb trjg scoag ETtLtoXr^g snl 
trjv s67tEQCav s7tLtoXr)v 7taQs6tat dta 7tsvta\x,r]vov* 20 

"E6tco oqC^cov tb cpavsQov xal to dcpavsg 6 AB, xal 

(i6)tQ07tLXol [isv s6tco6av ol T/l\E7j) l6r]pLSQivbg ds 6 H© 9 
6 ds toov t,cpdCcov xvxXog 6 KHA®, xal s6tco sitl tr)g 
dvatoXrjg tQCa a6tQa ta M ® N' Xsyco btt ta M ® N 
dnb scoag dvatoXrjg s67tSQCav dvatoXrjv TtotsltaL dtd 26 
Ttsvta^irjvov. 



(t(3) Kal [17] (paivo[isvov Slu tov a . 

(ty) TovzEGtLV tov £a>dLay.ov npbg aQY.tovg f| kqos (isgtjll- 
Qoiav. 

(l8) Tug ditt[i£tQOvg avtmv Xafi^avsi. 30 



DE ORTIBUS ET OCC. II. PROPOS. 3. 4. 113 

III. Nocturno tempore undecim signorum circum- 3° p ' 
ferentia 1 ) conspicitur ; sex quidem eorum quae antea 
orta sunt, quinque autem eorum quae oriuntur. 

Sit zodiacus circulus a/3, horizon autem yd, et 
auferatur unius signi circumferentia ys, in qua media, 
id est in puncto £, sit sol. Iam quia suppositum est 
astra solis radios effugere, cum sol est in loco f, 
manifesto astrum y vespertinum occasum apparentem 
facit; ergo totus yccd semicirculus sex signorum est # 
Cum igitur in semicirculo yfid reliqua sint sex signa, 
quorum unum ys a sole oecupatur 2 ), reliqua quinque 
sunt orientia; ergo undecim signa apparent. 

IV. Astrorum fixorum ea ; quae a zodiaco sive ad ^ p " 
septentrionales sive ad meridianas partes intercipiun- 
tur 3 ) ? a matutino ortu ad vespertinum ortum quinque 
mensium spatio pervenient. 

Sit circulus a/3 apparentem et occultam partem 
distinguens, et tropici sint yd s£, aequinoctialis autem 
rjfr, zodiacus auteui circulus xr}Xd', et tria astra p & v 
in ortu sint; dico astra p & v & matutino ortu vesper- 
tinum ortum facere intermisso quinque mensium spatio. 



1) Hic intelligit circumferentiam d#lecatimorium. AURIA 
in marg. p. 42 (Graeca scilicet 7i£QL(psQSiui ftscoQovvxai inter- 
pretans: vide praefat. ad p. 112, 1. 2). 

FIGURA similis exstat in codice E, nisi quod ibi litterae 
£ s aequalibus fere spatiis inter y {3 dispositae sunt. In AC 
notae £ s desunt. 

2) Autol. propos. 1 huius. 

PROPOS. 4: conf. libri primi propos. 2. 

3) r Inerrantium astrorum, quaecunque quidem sub Zodiaco 
circulo vel ad partes Septentrionales, vel ad Meridionales sita 
sunt' vertit et in margine hoc scholium addit Auria: c Zodiaco 
•s- [id est scilicet] vel ad septentrionem vel ad Meridiem po- 
sito.' Conf. 6%6liov iy et indicem nostrum s. cc7toXafi^dvsiv. 

Autolycua. 8 



1 14 nEPI EIHTOA&N KAI AT2E&N B. 

*Acpr\Qr\6%co yccg ^codCov %eQtcpe f Qeta r) ©&, xal xe- 

X[ir\6&co 8C%a %ara xb O, xal e%\ xov O e6xco 6 rjfaog. 

vvv {lev dr) ecoav dvaxoXrjv %otr\6exat xd M © iV, 6 

de rjAiog etg xd evavxCa xcov ^tpdCcov xtvovfievog %evxe 

(ls)^co6Ccov TteQicpeQeiav Kextvr\6d-co , xai eaxco e%t xov 77 5 

xotcov d%b \iev aQa xov O xoitov 6 r\Xtog %tvr\ftr\6exat 
(is)7tevxe ^cpdtcov %eQttpeQetav , d%b de xov H r)ixC6ovg 
(t£) ^codCov TtSQLcpeQetav, nal dvvovxog xov 77 xd M N 
ccCXQa d%b ecoag dvaxoXrjg e6%eQCav dvaxolr\v %otelxat. 
(irj) e . Tolg oi7iov6i xr)v jioQetov tjcbvr\v exa6xov xcov 10 
(i&)d%Xavcjv a6XQcov xdg xe dvaxoXag xat xdg 6v6etg 
e6%eQi'ag xe %al ecpag oV evtavxov %otetxat. 

"E6xco oqCQcov \Cev 6 AB, XQo%txol de ot TA EZ, 
t6r\iieQtvbg de 6 770, 6 de xcov ^cpdCcov KvxXog 6 KHA®, 
xal a6XQ0v xt fioQetoxeQOv e6xco xb M' keyco oxt xb M 15 
a6xQ0v d%o ecqag dvaxokrjg e%l ecoav dvaxoXr\v %aQ- 
e6xat oY evtavxov. 



(ls) "Slors xrjv TIH r)(iL60vg £cpdiov sIvccl dicc xo xr\v SH 
g' £coSlcov slvcu. 

(t<5) Tovxsgxiv ccno xov H r)(ii6ovg gcodiov nsQicpsQSLccv 20 
dns%cov y.lvslxccl sni xo H. 

(i£) ^TnonsLXccL xcc M N 6wccvccxsX\ovxcl xco & %cc\ ccno- 
Sslkvvxccl [isv nsoi xcov M N , 6vvccnodsiv.vvxocL Ss Y.CU nSQL 
xov &,xov sni xcov £cp$frov ov yccQ Sfivrj(i6vsv6sv ccvxov sv xfj 
nQ0xcc6SL. 25 

(irf) Boqslov gcovrjv ■x.ccXsl xo dno xov l6rj[iSQivov inl xov 
§6qslov nolov dLcc6xr}(ioc, o S6xlv r) xoc&' rjficcg oUovfisvrj. [xoci 
xa £' kXl[iccxcc.] 

(l&) Tccg cpccLvopsvccg XsysL' dicc yccQ xb z xov cc fyiQXlov 
SrjXov oxl ccl ccXrj&Lvcci 8l' svlccvxov syyL6xcc snLxsXovvxccL. 30 

FIGURA, quae in codicibus ACE ad qnartam propos. 
adscripta est, intra circulum ccrjpfi- rectas tantum, non curvas 
lineas exhibet. Quapropter Auria, qui hanc figurae formam 
repetit, in marg. p. 42 adnotat r Diametros tantum accipit'. 

1) Conf. 6%oXlov ls et in appendice 47. 

2) Conf. tg et in app. 48. 3) Conf. t£ et in app. 49. 



DE ORTIBUS ET OCC. H. PROPOS. 5. 



115 




Auferatur enim unius signi circumferentia #{;, quae 
in o bifariam secetur, et sit sol in o. Iam sic quidem 

astra p & v matutinum or- 
tum faeient, sol autem, in 
contrariam partem signorum 
se movens, quinque signo- 
| 9 rum circumferentiam percur- 
rat, sitque in loco tt 1 ); ergo 
a loco o sol quinque signo- 
rum circumferentiam percur- 
ret, ab rj autem dimidii signi 
circumferentiam 2 ), et puncto 
ri occidente astra p # v a matutino ortu vespertinum 
ortum faciunt 3 ). 

Y. Iis, qui zonam borealem 4 ) incolunt, unum- Pr ° p - 
quodque astrorum fixorum et ortus et occasus vesper- 
tinos matutinosque 5 ) intermisso annuo spatio facit. 

Sit horizon afi, tropici 
yd £%, aequinoctialis rjd', 
zodiacus circulus xr]Xd , J et 
sit astrum quoddam pro- 
pius septentrionibus situm 
ft; dico astrum /Lt ab ortu 
matutino ad ortum matu- 
tinum intermisso annuo 
spatio perventurum esse. 




4) Conf. g%6?uov ir\ et in appendice 39. 

5) Conf. 6%6liov t-9- et in appendice 50. 

FIGURAE duae, quae in codicibus ACE ad quintam pro- 
positionem adscriptae sunt, similes sunt ei, de qua ad prop. 4 
(p. 114) diximus. Item Auria, qui una tantum figura utitur, 
rectas lineas intra circulum habet. 

8* 



116 nEPI EIIITOA&N KAI AT2E&N B. 

'A(pr]Qi]6&<D yaQ r)^iL6v ^cpdCov r) ©N 9 xal xov 
r)XCov eitl xov N yevopevov rb & cc6tqov ecpov dva- 
reXXerco^ xal rfj i^ijg vvxrX dcpr]Qr]6^co TtSQLCpeQeia i) 
N&, xal rij N& earco i6r\ r) 0&, xal xolvy] 7tQ06etXr]- 
cp&co i) NO' oXr] ccQa r) EO olrj rrj N® l6r\ e6rCv. 5 
r) de N® i){iL6ovg e6rl t,cp8Cov' xal i) %0 aQa r)[iC6ovg 
hcrl t,cpdCov TteQicpeQeia. xal eitel tov N TtQoavareXXet 
rb ©, rcp 8 e & a\na eorlv 6vvavareXXov rb M, tiqo- 
{v)reQov aQa rb M rov N dvareXXet. xal rovro aiel 

(xa) e<5rai) ecog av 6 rjktog exTteQteX&cbv oXr]v rr)v NAHK® 10 
TteQtcpeQeiav dcpCxrjraL enl rb N' co6re rb M ddrQov 
aitb ecpag dvaroXijg ezti ecpav dvaroXr)v 7taQe6rat 6V 

(n§) evLavrov. to avrb de e6raL xal eitl rrjg e6iteQCag 
eTttroXrjg. 

IldXLV rcov avrcov v7toxet^Levcov, eitel rb M a6rQov 15 
rov & jioQetoreQov e6rLV apa de avrcp 6vvavareXXeL, 

(v.y) ov% dpa aQa avrcp 6v6eraL. 6vvdv6eraL ovv rcp M 
rcov eTtopevcov rt rcp &. 6vvdvverco rb N, xal rcp N 
e6rco xard dLa^ierQov ro #, h«1 dcpr]Qr\6&co rj[iC6ovg 

(nd) ^codCov TteQLCpeQeta i) &O m rov ccQa i)XCov ertl rov O 20 

(v.) 'Asi yuQ xrjv s^rjg vv%xu dLU7tOQSvo(isvov xov rjXCov dsl 
xo & 7tQ0uvuxeXXsi cbg rjyovfisvov. gvvuvuxsXXsl ds uvxcb xb M. 
dsl ds xovxo sgxul svxbg 7tsvxu[irjvov , xovxsgxl xrjg scnsQCug 
snLXoXrjg. Xoltiov ds xug aXXag cpctGSLg TtoLslxaL scouv dvciv uai 
sgtisqCuv Svglv , scog ov sX&cov S7tl xo N 6 r)XLog xrjv scoav 25 
avxov S7tLxoXr)v TtotSLxaL, cog sv xolg sj-r)g XsysL. 

(xa) Kal sni xov %vvbg %aXsi' y.ad'' sY.aGxr\v yaQ vvxxu 
cpaCvsxai dvaxsXXcov, scog b rjXiog snl xb avxb cp&aGrj , onov 
ovxog avxov 6 -avcov xrjv nQcoxrjv scouv uvuxoXr)v snoLr\Guxo. 

(x{3) 'Enl xr)g scnsQCug snLxoXr)g r) dsC^Lg sl ysvoixo, %uxu 30 
xu qyj&svxu xrjv nsQLcpsQSLuv ucpuLQOvvxsg xrjg vvnxbg r]v b rjXLog 
dianoQSvsxuL * ucpuLQOV(jLSvrjv snoLrJGuxo ov% rjv [isXXsl tiolslg^ul. 

(xy) Trjv scouv uvxov Svglv nui xrjv scnsQCuv XeysL. 

(%8) Tov yuQ jsi uvuxsXXovxog xb N Svvsl. %ui bvvsL TtQiv 
xbv rjXiov uvuxslXuL) 6 sgxlv scou uvxov SvGig. 35 



DE ORTIBUS ET OCC. II. PROPOS. 5. 



117 



Auferatur enim dimidii signi circumferentia &v, et, 
cum sol ad v pervenerit, astrum & matutinum oria- 
tur, et proxima nocte auferatur circumferentia v%, et 
ipsi v% aequalis sit o#, et communis adiungatur ipsa 
vo) ergo tota £o toti v& aequalis est. Circumferentia 
autem v& dimidii signi est 1 ); ergo etiam £o dimidii 
signi est. Et quoniam astrum # prius quam v ori- 
tur 2 ), simul autem cum & astrum p oritur, ft igitur 
prius quam v oritur. Atque hoc semper fiet ; donec 
sol, postquam omnem vhrjxft circumferentiam per- 
currerit, ad v perveniet 3 ); itaque astrum p ab ortu 
matutino ad ortum matutinum intermisso annuo spatio 
perveniet. Idem autem de vespertino ortu fiet. 

Rursus iisdem suppositis, quia astrum p propius 
septentrionibus est quam # et simul cum eo oritur, 

non igitur simul cum eo 
occidet 4 ). lam simul cum 
^ astrum quoddam eorum 
quae sequuntur occidet. 
Simul occidat v, et ipsi v 
iuxta diametrum opposi- 
tum sit %, et auferatur 
dimidii signi circumferen- 
tia £o; ergo, cum sol ad o 
pervenit, astrum £ matutinum oritur, et v matutinum 
occidit 5 ); ergo etiam \n, matutinum occidit. Sed diurno 




1) Ut ponitur. AURIA in marg. p. 44. 

2) Autol. de sphaera propos. 9. 

3) Conf. 6%6liov % et in appendice 51. 

4) Autol. U 

5) Conf. cxoXiov xtf et in appendice 52. 




118 nEPI EIIITOA&N KAI ATZE&N B. 

(ks ) yevopevov to & cc6tqov iooov dvareXXei, rb de N 
icoov dvveo ' %ai rb M aoa iopov dvvei. hv ds rco rrjg 
r)\i£Qag %qovco b r)XLog dLeQ%e6&oo iteQKpeQeuav rr)v 0/7, 
xal rfj IIO l6r\ e6roo r) P&. xotvr) 7tQ06eLXr\<p&co r] PO' 
r) aQa &0 oXr\ rfj PII i6r\ e6rCv. r) de fiO r\\iC6ovg 
^opdCov TteQKpeQeid e6xiv xai r) PII aQa r)\iC6ovg £<p- 
dCov TteQifpeQeid e6rtv rov aQa r)XCov hni rov II ovrog 
rb P eooov dvareXXet. xal TtQoavareXXet rb B rov P, 
rov de & dvareXXovrog rb N icpov dvvet, xai 6vv- 
dvvet avrop rb M' rb M aQa icpov dvvet rot) r\XCov 10 
hni rov H ovrog. xai rovro atei e6rat, ecog dv 6 r)ltog 
eKiteQteX&cbv oXov rbv xvxXov d<pCxr\rat hiti rb O oV evt- 
avrov. rb avrb de e6rat xai hiti rrjg e67teQCag 8v6ecog. 
g'. "Exa6rov roov hiti rot; %ooQtaxov rerayytevoov 
a6TQCov ditb rrjg ecoag hittroXr\g h%i rr)v e6iteQCav hitt- 15 
roXrjv TtaQayCyverat , ditb de rrjg e6iteQCag hittroXrjg 
hiti rr)v iooav dv6tv itaQayCyverat, dnb de rr)g iooag 
6v6eoog kitl rr)v e6iteQCav 6v6tv, ditb de rfjg e6iteQCag 
dv6eoog hni rr)v iooav hittroXr\v , xai d%b \iev rrjg 
£67teQCag dv6eoog hni rr)v icpav h%troXr)v 6V r)\ieQoov A', 20 
xai rovrov rbv %qovov oirre dvareXXov ovte dvvov 
OQarat, aitb de rrjg eooag eTttroXrjg hiti rr)v e6%eQCav 
e7ttroXr)v dtd itevre \ir\voov TtaQayCyverat, xai rovrov 
rbv %qovov dvareXXov &ecoQr]&r]6eTaL, ditb ds rrjg 
§67teQCag eTttroXrjg hiti rr)v eooav 6v6tv 7taQ£6raL 6Y 25 
r){i£Qcov X\ %ai oirre dvariXXov o^ra dvo\i£vov <paC- 
v£TaL, ditb d£ rrjg icpag dv6£cog hni rr)v i6%£QCav 
6v6lv dLa 7t£VT£ \irjvcov TtaQayCyveraL, xai rovrov rbv 
(xg) %qovov dvo\ievov oQaraL. 

(xs) Tov ovv rjXtov inl xb E ysvofisvov xo O saov dva- 30 
xelXsL. nqoavuxsXXsL ds avzov xo P. cvvavaxsXXst 8s xm @ 



DE ORTIBUS ET OCC. II. PROPOS. 6. 119 

tempore sol circumferentiam oit percurrat, et ipsi o% 
aequalis sit p(j. Communis adiungatur ipsa 00; ergo 
tota £o toti Qit aequalis est. Sed £o dimidii signi 
circumferentia est; ergo etiam Q7t dimidii signi cir- 
cumferentia est; ergo, cum sol est ad % y punctum q 
matutinum oritur. Et £ prius quam q oritur, et ipso 
| oriente occidit v ruatutinuni, et simul cum eo \l 
occidit; ergo yt, matutinum occidit, cum sol est ad %. 
Atque hoc semper fiet, donec sol, postquam totum 
circulum percurrerit, ad o perveniet annuo spatio. 
i Idem autem de vespertino occasu fiet. 

. . Prop. 

VI. Unumquodque astrorum, quae in zodiaco 6 
posita sunt, ab ortu matutino ad ortum vespertinum 
pervenit, tum ab ortu vespertino ad occasum matu- 
tinuin, deinde ab occasu matutino ad occasum vSsper- 
tinum, denique ab occasu vespertino ad ortum matu- 
tinum, et ab occasu quidem vespertino ad ortum 
matutinum XXX diebus, quo temporis spatio neque 
oriens neque occidens conspicitur, ab ortu autem matu- 
tino ad ortum vespertinum quinque mensibus per- 
venit, quo tempore oriens conspicietur, ab ortu autem 
vespertino ad occasum matutinum XXX diebus per- 
veniet, quo tempore neque oriens neque occidens 
apparet, denique ab occasu matutino ad occasum 
vespertinum quinque mensibus pervenit, quo tempore 
occidens conspicitur. 

xb M. xat ovxcog f'fl)S ov sni xb M dcpi%r\xaL 6 TJXiog , rj dno- 

tiSLt,Lg UQ0SL6LV , C06XS CpaLVS6&aL LLSV XO 7tQ0 XOV SV Cp S6XLV 

6 rjXiog scpov, xb ds M llovov cpacvso^aL llsxu xb cpavfjvaL scoov, 
scog oi) svcavxov naQsX&ovxog, oxuv 6 rjliog sni xb H s\&t], 
5 tcccXlv scoov cpavj]. 

(vl<5) Slg ds nui xovxo dsi sotaL scog xov £' SLQTj-iicog 7\qllt\~ 
vsv68, xai xb dvco ncog slQrjxaL, sv xolg tcqo uvxov. 



120 



IIEPI EIIITOA&N KAI AT2E&N B. 



"E6xco oqC^cov 6 AB xb cpaveQov xai xb dcpaveg 
xrjg Ccpaioag. £<pdiax6g de 6 Iz/, xai cc6xqov xl e6x<o 
e%i xfjg dvaxoXfjg xb z/, xai d%eLXr\cp$co r)[iC6ovg £e>- 
dCov iteQLcpeQeia f) 4E, %ai -xaliv r) ZT %ai r) FH 
xal r) &A' cpaveQOv 
dr) oxl xov f)XCov e%i 
xov E 6riaeCov bvxog r , 
xo A atitQov ecpav §j Gig 
e%LXoXr)v TtOLelxaL. 
e6xco de r]v TtoQeve- 
xaL 6 rjXLog ev xfj 
vvxxl TtegLcpegeLa r) . 

. £G718QIC( 

EK, xaL Xfj EK l6Y\ ^vaxoXr; 
d%eLXr\cp%co r) AA, 
xai xoLvr) r) AE' oXr\ aQa r) AE oXr\ xfj AK i'6rj eCxCv. 
r){iC6ovg de t^codCov e6xiv r) AE' r){iC6ovg aQa xai r) AK' 
xov aQa f)XCov e%i xov K bvxog xb A cc6xqov e%LxeXXo- 
[ievov OQaxaL ecpov. xai %QoavaxeXXet avxov xb A. 
%ai xovxo aiei e6xaL ecog av 6 rjXLog dcpCxrjxaL e%i xb 
Z 6r){ielov. %ai yevopevov e%i xb Z xai d%e%ovxog 
(*£) r)\kC6ovg ^cpdCov %eQLcpeQecav xr)v rZ, xb A cc6xqov 
e6iteQCav e%LXoXr)v itoLelxaL' xb aQa A cc6xqov d%b 
ecpag i%LXoXf\g e%i e6%e^Cav e%LxoXr)v %aQayCyvexat 6lcc 
%evxa\ir]vov %evxe yccQ ^cpdCcov e6xiv r) EZ %eQccpeQeLa, 
Kai cpaveQOV oxl %evxe ^codia dLcc %evxa[irjvov dLeQ%exaL. 




15 



20 



25 



(k£) Tov yccg r)Xlov ln\ xov Z ovxog, xov T hcxlv sGnEQiu 
dvGig. xov de r dvvovxog xb A dvaxsXXec xov ccqci rjXiov ini 
xov Z ovxog, xov d sGnsQia s-jiuoXr'] Igxiv. 



FIGURA similis exstat in codicibus A CE, nisi quod in AC 
zodiacus eandem positionem habet quam in superioribus figuris 



DE ORTIBUS ET OCC. II. PROPOS. 6. 12 L 

Sit circidus afi apparentem et occultam spbaerae 
partem distinguens, zodiacus autem yd, et astrum ali- 
quod d sit in ortu *), et auferatur dimidii signi circum- 
ferentia de, ac rursus %y et yr\ et ##; apparet igitur, 
dum sol est in puncto e, astrum 6 ortum matutinum 
facere 2 ). Sit autem ea quam sol noctu percurrit cir- 
cumferentia ex, et ipsi ex aequalis auferatur dX, et 
communis addatur ke; tota igitur de toti hc aequalis 
est. Sed dimidii signi est 8e 3 ); ergo etiam Xn dimidii 
signi est; itaque, cum sol est in puncto k, astrum k 
matutinum oriens conspicitur. Et prius quam X ori- 
tur 8. Idque semper fiet, quoad sol ad punctum g 
perveniet 4 ). Et cum sol ad g accessit circumferentia- 
que yt,, quae est dimidii signi, distat 5 ), astrum 8 or- 
tum vespertinum facit 6 ); ergo astrum d ab ortu ma- 
tutino ad ortum vespertinum quinque mensibus per- 
venit; nam quinque signorum est circumferentia e£, 
atque apparet quinque signa quinque mensibus per- 
curri 7 ). 

quae ad propos. 5 adscriptae simt. Notas emcc [scoa AC] 
dv6ig etc. om. E itemque Auria. In A vox £67ceqlcc ante dva- 
toXrj corrupta est. 

1) Partes orientales sint versus S: occidentales versus y. 
AURIA in marg. p. 47. 

2) Apparentem ortum matutinum hoc loco intellegendum 
esse significat Auria definitionem 6 libri primi in marg. p. 47 
citans. 

3) Ut ponitur. AURIA ibidem. 

4) Lege scho. 2 in 5 huius libri 2. AURIA ibidem [id est 
in appendice* huius editionis scholium 51]. 

5) Grad. 15. AURIA ibidem. 

6) Apparentem ortum vespertinum significari similiter ac 
supra (adn. 2) adnotat Auria. Praeterea vide 6%6Xlov %£ et 
in appendice 53. 

7) Conf. in appendice scholium 54. 



122 



IIEPI EIHTOASN KAI AT2E&N B. 



'O^toCoog drj dst%d , r\6Exat xal xa kotitd xa otd xr\g 
TtQotdOEcog. axoXovd-oog yaQ xr)v Z.TH nsQtcpEQEtav Qtsk- 

(%r\) &Q3V 6 r\ktog svbg £,<pdCov ov6av xr\v scpav dv6tv Ttotst 
x<p A aOXQCD' nal cpavsQov cog dta r\(iEQo3v XQtdxovxa. 
sxi ds xr\v H& dtsk&ojv Ttsvxs t,<pdCo3v ov6av xr)v 

(%#•) stiTtsQiav dv6tv Ttotsl x<p zJ cc6xqg) xal did [irjvojv 
Ttsvxs. Ttdktv 6s xr)v SAE 6 rjktog 8tSQ%6^iEvog xal 
E7tl xb E TtaQaysvoiisvog xr\v scpav dvaxokr\v itotst 
xcp A a6xQ<p xal dtd r\[iEQ<DV X' ' svbg yaQ £<pdCov 

N 0tSt6tV TtEQtCpSQEtaV. 

(\) %. r '06a a%oka\L$dvsxat vito xov ^tpdtaKov srti xd 

(\u)itQog aQxxovg, sxsCvav ai stpat dv6stg xcov scpcov sitt- 

xokoov 7tQor\yovvxat , o6a ds aitokaix^dvsxat v%b xov 

t,tpdtaxov STtl xa 7tQvg ^s6r\^pQtav, sxsCvoov at sqoat 

ETttxokat xoov eoooov dv6soov 7tQor\yovvxat. 

"E6xoo oqC^oov 6 AB, 6 de xoov ^cpdCoov xvxkog o 



10 



15 



(v.r\) Tov yuQ r\\tov ovxog sni xov H, xov navxbg nsQt- 
svs%&svxog xov T uaxQov sativ r) scpu sntto\r). rov ds T dvcc- 
rsWovrog rb d dvvsf rov uqu r)\tov sni tov H bvtog, tov A 
7] scpu dvaig, %ui ovts uvursWov ovts dvvotisvov OQurut rb z/, 20 
sv oacp rr\v ZH nsQicpsQSiav 6 r\\iog dtunoQSvsrat, rovrsart rdg 
\' rjfisQag. srtstdr) nQOs\&6vrog avrov dnb rov Z, ovxstt uns%ov 
rb T ts iiotQag ov cputvsrut tr\v sonSQtav dvatv notovfisvov, 
coars ovds rb %ard didfisrQOV uvrco rb d rr)v sonsQtav sntro\r)v 
qpatvsrat noiovfisvov. nd\tv rov r)\tov nQO rov II ovrog rb T 25 
(ir) ans%ov rdg ts fiotQag ov cpatvsrat rr)v scoav sntro\r)v noiov- 
fisvov ov-aovv ovds to xara dtdfisrQOV uvrco rb Z/ xr)v scoav 
dvciv notoviisvov. 

(x-9 1 ) Tov yaQ r)\tov snl rov ovtog v.a\ nsQtsvs%Q-svtog 
xov navtbg xca tov © ytata tb Z ysvofisvov tov ds J y.utu 30 
tb T, tov d satut sansQtu dvatg. 

(X) 'Ev xovtco nsQi scpug dvascog \syst Y.ut usqI scpug snt- 
to\r\g. 

(\u) 'Avxi xov slg xu nQor\yov(isvu (isqtj xcov scpcov sntxo\cov 
yivovxut ui scout dvastg. 35 



DE ORTIBUS ET OCC. II. PROPOS. 7. 



123 




E67CSQLCC 

SvOls 



S67CSQLCC 

ccvccTolr\ 



Iam similiter reliqua etiam quae propositio con- 

tinet demonstrabuntur. Nam deineeps sol, cum circum- 

ferentiam £yrj, quae 

est unius signi 1 ), per- 

cucurrit, astro d oc- 

casum matutinum 2 ) 

efficit, id quod diebus 

triginta fieri appa- 

, l9 K ,ret 8 ). Porro, post- 
ccvcctoXrj ' 

quam circumferen- 

tiam rjd', quae est 

quinque signorum, 

percucurrit, astro d occasum vespertinum, idque quinque 

mensibus, efficit 4 ). Rursus circumferentiam &ds sol per- 

currens, cum ad s pervenit, matutinum ortum astro d 

efficit, idque triginta diebus 5 ); unius enim signi cir- 

cumferentiam absolvit ). 

VII. Quaecunque astra a zodiaco septentrionem 7 
versus intercipiuntur, eorum occasus matutini ante- 
cedunt ortus matutinos; quaecunque autem a zodiaco 
meridiem versus intercipiuntur, eorum ortus matutini 
antecedunt occasus matutinos. 

Sit borizon a/3, zodiacus autem circulus yd, et 



Prop. 



1) Grad. 30. AURIA in marg. p. 47. 

2) Apparentem scilicet, per defiii. 7 libri primi, ut Auria 
adnotat. Similiter paulo post, ubi de vespertino occasu agitur, 
definitionem 9 citat. 

3) Conf. 6%6%lov y.rj et in appendice 55. 

4) Conf. 6%61lov k& et in appendice 56. 

5) Ut annotatum est in schol. 2 [id est in append. schol. 54] 
in hanc proposit. AURIA in marg. p. 48. 

6) Conf. in appendice scholium 57. 



124 



IIEPI EIIITOA&N KAI AT2E&N B. 



jTz/, xccl cc6tqov xv sn\ Trjg dvaToXrjg s6toj to z/, 
fioosioxBQOv ds xb H to aQa z/ cc6tqov rc5 H cc6tqg) 
daa asv dvarsXXst, ov% daa 8s dvvst' oo6ts ttiov sito- 
asvcov nvl too A a6TQoo rb H 6vvdv6sTat. 6vv- 
dvvsToo too ©, %a\ s6toj too & xaTa dtdasTQOv t6 E, 5 
Kal ditsiXr\cp^oo r)at6ovg ^oodtov TtsQtcpsQSia r) AK, xal 
hi r) EA. nal STtsl 



TOV ijXtOV S7ll TOV 

K ovTog t6 z/ sooov 
(Xfi) dvaTsXXst, too ds 
zJ daa dvarsXXst 
zb H, tou aQa 
r)Xtov S7tl Toi) K 
bvTog to H sooov 
dvaTsXXst. TtdXtv 

STtsl TOV r)XtOV STtl 



scoov 8vvsl 
xb r\ 




SCOOV S7tLTSXXSL 

xb fj hcci xb fi 



scoov dvvsi 
xb [l 

toi) A Toitov ovTog to E sooov dvaTsXXst, tov ds E 
dvaTsklovTog to & dvvsi [xal to H], rov aQa r)Xtov 
STti tov A bvTog to H sooov dvvst' 6vvQvvsi yccQ to 
H tc5 S. dXXa uat stiI tot) K bvrog sooov dvarsXXst' 20 
G36TS sv co 6 r)Xtog Tr)v KTEA TtSQtcpSQStav dtst6tv, 

(Xy)To H cc6tqov scoov dvvst. %a\ s'6Ti asi^cov r) KTEA 
TtsQicpSQSta Trjg AzlK 7tsQtcpsQsiag, %a\ itQor\yslTat to A 

(X8)tov K' dnb aQa sooag dvaToXrjg s%\ sooav dv6tv itaQa- 



(X$) Kccl siQrjtaL 8s cbg xov H r) scpcc ccvccxoXr). 25 

(Xy) 'Ensl yag r) EA rrj zlK torj, r) 8s EAd iXccxxcov r){iL- 
kvhXlov, kccl r) AAK clqcc sXccxxcov r)(iL%VK.Xiov ' cogts r) XoLiti\ r) 
KTEA fiSL^cov r)\XL%v%Xiov . 

(X8) Tb v6tsqov XsysL dvxl xov $qccSvtsqov y.o.1 8lcc tcXsl- 
ovog %q6vov, xb 8s tiqotsqov uvtI tov &ccttov y.cc\ 8l' sXcco6ovog 30 

XQOVOV. 



DE ORTIBUS ET OCC. II. PROPOS. 7. 125 

astrum aliquod in ortu sit d 1 ), et magis septentrionem 
versus ^; ergo astrum d simul cum astro r\ oritur, 
neque tamen simul occidit 2 ); itaque astrum r\ simul 
cum aliquo eorum quae astrum d sequuntur occidet. 
Occidat simul cum & 7 et ipsi # iuxta diametrum oppo- 
situm sit e, et auferatur dimidii signi circumferentia dx, 
itemque eX. Et quia ; cum sol est in x, astrum d 
matutinum oritur, ac simul cum d oritur r\, cum igi- 
tur sol est in x, matutinum oritur r\. Rursus quia ; 
cum sol in loco X est ; e matutinum oritur ; oriente 
autem e occidit # 3 ) ; cum igitur sol in X est ; r\ matu- 
tinum occidit; nam r\ simul cum # occidere siippositum 
est 4 ). Sed ; cum sol est in x, idem rj matutinum ori- 
tur 5 ); itaque, cum sol circumferentiam wyeX percurrit 6 ) ; 
astrum r\ matutinum occidit. Et maior est circum- 
ferentia xyeX quam Xdx 1 ), atque astrum X ipsum x 
antecedit; ergo astrum rj ab ortu matutino ad occasum 



FIGURA similis exstat in codicibus ACE, nisi quod zodiacus 
eandem positionem habet quam in figuris theorematis 5. Notas 
acpov [scoov AC] dvvsi xb fj etc. om. E. Pro fj C utroque loco 
exhibet v 

1) Partes orientales sint versus d punctum, occidentales 
versus y: septentrio in a et meridies in puncto. AURIA in 
marg. p. 50. 

2) Autol. de sphaer. 9. 

3) Eucl. phaenom. 6. 

4) Haec quae Graecis avvdvvs i yccQ tb H xta © respondent 
Auria in versione sua omittit, addit autem in margine f Quo- 
niam suppositum est cum astro F [id est &] simul occidere'. 

5) Conf. initium demonstrationis quae propositionem 6 
sequitur (p. 120). 

6) A motu mundi ab ortu ad occasum. AURIA in marg. 
p. 50. 

7) Vide a%6Xiov Xy et in appendice 58. 




M 
la 
vl 5 



126 nEPI EniTOASiN KAI atsesn b. 

yiyvexcu v6tsqov, xal dico scpag dv6scog stc\ scpav dva- 

TOXrjV 7CQ0TSQ0V. 

ndliv s6toj stcl xr)g dvatoXrjg votlojtsqov rb M 

a6TQ0V. Xal S7CSL TO M O.6TQ0V TG3 [ISV A aOTQG) d{lt 
dvaTsXXov tcqotsqov dvvst, TOJV TCQOTjyOV^lSVCOV tlvI 
avTov to M 6vvdv6sTaL. 6vvdvvsTco tco N, xal s6toj 

(Xe) tod N xard dLapsTQOv to &, xal aTCSLXrjcp&G) r)[iC6ovg 
ZjpdCov TCSQLcpsQSLa r) &0. xal sicsl roi) r)XCov sicl 
tov K ovrog t6 z/ sodov dvaTsXXsc, nal to M sojov 

(X?) dvaTskXsL. jcdXcv stcsl tov r)XCov ovTog stcI tov O t6 10 
[lsv & scpov dvaTslXsLj t6 aQa N dvvsc. tov ds N 
dvvovTog xal to M Svvsl, gj6ts xal tov r)XCov stcl 
tov O ovTog to M scpov dvvsi. dXXd iir)v xai stcI 

(X£) tov K ovTog sooov dvhsXXsv. xal s6tlv kXdzzcav 6 



(Xs) "OxttV V71UQ%7] TlttXtt SittflSXQOV Xtt ttGXQtt , OV"A SGXLV 15 

slnsiv noZov egxl xb nQor\yovfisvov. iccv yccQ kccxcc xr\v %Cvr\Giv 
xov 7tttvxog cbg dnb ccvaxoXrjg inl dvGudg Xdficofisv xb dvaxoXi- 
y.coxsqov r)yovfisvov, slxcc UQ^dfisvoL ccnb xov fisxcc xb inl xr)g 
ttvccxoXrjg bvxog ins^Ccofisv scog xov r\fiLHV7iXCov , xbds xovds 
TjysLxcci TLccl [xods xovds r\ysLxa.L\ xb fisv snl xr\g dvaxoXr)g snb- 20 
fisvov, xb ds snl xrjg dvoscog r\yovfisvov. xb v.axonLv dh ndXiv 
xov inl xrjg avccxoXrjg bvxog Xccfiovxsg cog snofisvov (ovxco yccQ 
■accl Kccxcc xrjv xov nccvxog %Cvr\GLv), sccv ins^Ccofisv scog xov fjfiL- 
%v%XCov [%al xov sveovvfiov], xods xcods snsxccL <%tcu^> sgxccl 
snoasvov xb iv xfj Svgsl xco iv xij ccvaxoXfj. r)v 8s y.cd r\yov- 25 
fisvov xov ccvxov. sl ds (isCgcov sl'rj rKiLKVxXCov nsQLCpsQEicc, xoxs 
drjXov yCvsxccL xb nQor\yov\isvov iv. xr)g xov nccvxbg ynvrjGsrog' xb 
fisv yccQ sXccxzov ccns%ov %uxa xcc sndfisva rjfiLKVKXLcc xb sno- 
fisvov icxL, xb ds nXsov dns%ov hccxcc xu snbfisvcc r)yovfisvov 
■accxu xr\v &sglv xcov £codCcov. y.ccxcc xcc snbfisvcc Xttfi^dvovxccL 30 
r)fiLV, b sgxl fisxcc xr)v %Cvr\GLV xoov £codCcov X unb dvGficov inl 
dvccxoXdg. 

(X?) TIsQisvsx&svxog xov navxbg v.a.1 xov JT inl xov A 
ysvofisvov, xov 8s & snl xov N. 

(X£) Tovxsgxl xov %qovov, iv cb xr\v OTK nsQicpSQSiav dtcc- 35 

nOQSVEXCCL. 



DE ORTIBUS ET OCC. II. PROPOS. 7. 



127 



saov Svvsl 
to 7\ 



matutinum posterius, et ab occasu matutino ad ortum 
matutinum prius pervenit 1 ). 

Rursus sit in ortu magis meridiem versus astrum ft. 
Et quia astrum p, simul cum d oriens, prius occidit 2 ), 
cum aliquo eorum quae ipsum d antecedunt astrum p 
occidet. Occidat simul cum t*j et ipsi v iuxta diame- 

trum oppositum 
sit |, et auferatur 
dimidii signi cir- 
cumferentia £o. Et 
quia, cum sol in 
% est, astrum d 
matutinum oritur, 
astrum quoque ^ 
matutinum oritur. 
Rursus quia, cum 
astrum | matutinum oritur, astrum igitur 
Sed occidente v occidit etiam ft 4 ); itaque, 
cum sol est in o, astrum [t matutinum occidit. Verum 
etiain, cum sol in x erat 7 ipsum [i matutinum oriebatur. 




S(pOV STtLTsXXsL 

xb fj y.cu t6 u 



sol est in o 

v occidit 3 ). 



1) Posterins, id est tardius et maiori temporis spatio: 
prius, id est citius et minori tempore. AURIA in marg. p. 50. 
Et conf. scholium Graecum XS. 

2) Autol. de sphaer. 9. 

3) Eucl. phaenom. 6. 

4) Supponitur enim ipsum v simul occidere cum ipso p 
astro. AURIA in marg. p. 51. 



128 HEPI EIIITOA&N KAI AT2E&N B. 

XQOVog sv <p 6 qfoog zrjv KO TCSQccpSQSLUv 6lsq%szul, 
(Xrj)xul %Qor\yslzuL tb Ktov O' dicb uqu zfjg sooug dv6soog 
sicl scouv dvuzoXr\v tcuqs6zul v6zsqov, xul dicb sooug 
dvuzolfjg stcI scpuv 6v6lv tcqozsqov. 
(X&) r\ . "06u utcoXu^uvszul vicb zov c^cpdLUXOv xazd 5 
zdg avazoXdg stcl zd TCQog uQXzovg, sxslvoov aC s6tcsqlul 
dv6stg TtQorjyovvzat zoov s6tcsqCcov stclzoXoov, o6a ds 
TtQog tis6r]tif}QLav vicb zov l^oodLuxov uTCoXupfidvszuL, 
sxsCvoov aC s6tcsqlul avazolal TtQor\yovvzuL zoov s6tcs- 

qCcOV 8v6SCOV. 10 

"E6zco oQCt,cov 6 AB xul 6 zcov t,oo8Coov xvxXog 6 
Jz/, xal cc6zqov zl STtl zfjg dvuzokf\g stcI zd TCQog 
uQxzovg s6zoo tb H' zb aQa H d[iu iisv zoo zl dva- 
zslksL, ov% u[iu ds Svvsl' zeov ccqu stcoiisvoov zlvl 
zoo z/ u6zqco 6vvdv6szui zb H. 6vv0vvszoo roo &, 15 

([l)xUL U7tSLlr]cp&00 i)llL60Vg lcpdLOV TCSQHpSQSLU r\ ®K, xul 

szl r\ TA. stcsl zov r\Hov stcI zov K ovzog zb & 
s6tcsqlov Svvsl, zov ds & dvvovzog xu\ zb H dvvst, 

(Xrf) Td £cq8lu uno dv6[icov sni uvuToXug xr\v $s6lv s%sl. 

olov S6TC0 KQLOS Sni TCQV 8v6[LC0V. (IETU UVTOV S6TL TUVQOg STll 20 

uvuToXug, eItu 8l8v[iol ini uvuToXocg %al i^g 6[ioCcog navxa. 
■xui s6tlv in6[isvu [isv tSc vno8s%6[isvu tov r\iiov , olov uno 
yiotov b TavQog tco kqlcq in6[isvog, dno tuvqov 8l'Sv[iol tco 
tuvqco inofisvoL, r)yov[isvu 8s y.uru ty)v %Lvrj6LV tov nuvTog 
unb uvutoXcov sni 8v6[iug. ccg 8i8v[iovg rjysLe&UL tov tuvqov 25 

KUL TaVQOV Y.Q10V. 

(X&) 'Ev tovtco ytul nsQL i6nsQLug dv6scog kul i^nsQLug snL- 
ToXfjg. 

(fl) "Av T£ 8\ r)[lL60Vg ^CqSlOV nSQLCpSQSlU slt\ r) K0, UV TS 

vnsQninTrj Tr)v d@, uv ts sXuttcov rj rrjg d@, r) ag r) JK, 30 
nQofiuLVEL to &scQQri[LU, snsidr) to J ls [lOLQug scp' inu6T0v 
uns%ov icoov snLTsXXsi. 

1) Minus tempus scilicet eo tempore, in quo circumferen- 
tiam v.vyo peitransit. AURIA ibidem \v.vyo transscripsimus ex 
HNCEQ, quae notatio ex Auriae ratione respondeat Graecae 
■nvyrjo]. Conf. Graecum scholium X£. 



DE ORTIBUS ET OCC. n. PROPOS. 8. 



129 



Et minus est tempus, quo sol circumferentiaui xo per- 
currit 1 ), atque astrum % ipsum o antecedit 2 )-, ergo 
astrum [i ab occasu matutino ad ortum matutinum 
posterius, et ab ortu matutino ad occasum matutinum 
prius perveniet. 

VIII. Quaecunque astra a zodiaco in orientis parte 8 
septentrionem versus intercipiuntur, eorum occasus 
vespertini antecedunt ortus vespertinos; quaecunque 
autem meridiem versus a zodiaco intercipiuntur, eorum 
ortus vespertini antecedunt occasus vespertinos. 

Sit horizon a/3 et zodiacus circulus yd, et astrum 
aliquod in ortu septentrionem 
versus sit r\\ ergo astrum r\ 
simul cum d oritur, neque 
tamen simul occidit 3 ); ergo 
astrum r\ simul cum aliquo 
eorum quae astrum d sequun- 
tur occidet. Occidat simul 
cum xt, et auferatur dimidii 
signi 4 ) circumferentia &%, 
itemque yX. Quia, cum sol 
in % est, astrum ^ vespertinum occidit, occidente autem 
^ etiam astrum r\ occidit 5 ) 7 astrum igitur r\, cum sol 




2) Conf. 6%6liov Xrj et in appendice 59. 

FIGURA similis exstat in codicibus ACE, nisi quod zodiacus 
eandem positionem habet quam in figuris theorematis 5. Ad 
dexteram partem superiorem in C, ac minus distincte in A, 
adscripta sunt £67tsoiov dvvsi xb fi, ad inferiorein sctceqlov 
dvvsi xb fj y denique ad sinistram partem inferiorem in C 

S671SQLOV STCLTSlXSL XO V, ID. A S(O0V STtLXsXlSL XO f\. 

3) Autol. de sphaer. 9. 

4) Grad. 15. AURIA in marg. p. 52. 

5) Supponitur enim cum & simul occidere. IDEM. 

Autolycus. 9 



130 nEPI EIIITOA&N KAI AT2E&N B. 

TOV ttQCC r)XCoV £%\ TOV K OVTOQ TO H £6%£QL0V SvVEL. 

([icc) %dXiv s%s\ rov r)XCov bvrog s%\ tov A ro T s6%sqlov 
dvvsi, rov ds r dvvovrog rb H e6%sqlov dvccrsXXsL, 
toi) cxqcc r)XCov s%\ Tot) A bvrog rb H s6%sqlov dvcc- 
tsXXel' {ieC^cov ccQcc 6 %QOVog sv cp 6 rjfaog rrjv A/iK 5 
TtSQLCpSQSiccv 8lsq%etccl r) rr)v KA' ccnb ttQcx rrjg s6%s- 
QLttg dvaroXrjg s%\ rr)v s6%eqCccv 6v6lv %ccQccyCyvsTttL 
vtirsQOV, Kccl ccTtb rrjg s6%EQCag 8v6scog s%\ rr)v s6%s- 
qCccv dvaroXrjv %qotsqov. 

ndlLv sCXrjcpd-co cc6tqov TtQog iLE6r]iifiQCav rb M. 10 
%ca sitEL ov% cclicc iiev rcp z/ t 6 M Svvel, diia 8s 
dvarskXsL) co6rs 6vv8v6stccl tcov rjyoviiEvcov tlvl tov z/. 
6vv8vvstco rcp &, xcc\ d%SLXr]cp&co r){iC6ovg ^cpdCov %eql- 
cpsQELtt r) N$. s%s\ tov r)Xiov s%\ tot) N bvrog rb % 

S6%SQL0V SvVEL, TOV 8s & dvVOVTOg TO M 8vV£L, TOV 15 

ccqcc r t XCov h%\ toi) N bvrog t6 M e6%eqlov 8vvel. 

TtttltV ETtEL TOt) t)XC0V £%\ TOl) A OVTOg TO r £6%£QL0V 

dvv£L, rov 8s r dvvovrog rb /1 e6%eqlov dvarEXXsL, 

XttL TOV ttQCC r)XC0V £%\ TOV A OVTOg TO 4 £6%£QL0V 

dvariXXEL. 6vvavarsXXEL 81 t6 A rcp M' co6te xccrd 20 
liev to{» A bvrog toi> r)XCov rb M e6%eqlov dvarsXXsL, 

(|U(5) KttTtt 8\ TOl) N £6%£QL0V 8vVEL. KCCL S6TLV r) ATN 

TtsQLcpsQELoc rrjg N4A sXa66cov d%h ccqcc rrjg s67iEQCag 
6v6scog S7t\ rr)v e6%£qCccv dvccroXrjv %ccQttyCyv£rca v6te- 



((icc) 'Slg KSLTtti 6 gwdiccHog firj 7t8QLyo<xcpsig. 25 

((i§) 'Ensl yecQ rj AV rfj NE sgtlv iffry, r; ds rNE bloczTcov 

TJllLHVilXLOV, Kttl 7] ATN ttQtt iXttTTCHV rillL^AVYlLOV ' C06TE 7] XoLnrj 

rj NJA [18l£cov rHiLxviiXLOv. 

1) Conf. in appendice scholium 60. 

2) Partes orientales sint in d puncto, occidentales in y: 
septentrio sit cc, et meridies §. AURIA in marg. p. 53. 



DE OETIBUS ET OCC. II. PROPOS. 8. 



131 



in % est, vespertinum oceidit. Rursus quia, cum sol 
in X est, astrum y vespertinum occidit, occidente 
autem y astrum r\ vespertinum oritur 1 ), astrum igitur 
rj, cum sol in X est, vespertinum oritur; maius igitur 
est tempus quo sol circumferentiam 18%, quam quo 
ipsam %X, percurrit; ergo astrnm r\ ab ortu vespertino 
ad occasum vespertinum posterius, et ab occasu vesper- 
tino ad ortum vespertinum prius pervenit. 

Rursus sumatur astrum ft meridiem versus 2 ). Et 
quia astrum {i simul cum d 
oritur, neque tamen occidit 3 ), 
igitur simul cum aliquo eorum 
quae ipsum d antecedunt occi- 
det. Occidat simul cum |, et 
auferatur dimidii signi circum- 
ferentia v%. Quia, cum sol 
in v est, astrum | vesper- 
tinum occidit, et occidente | 
astrum p occidit 4 ), astrum igitur {l, cum sol in v est, 
vespertinum occidit. Rursus quia, cum sol in k est, 
astrum y vespertinum occidit, et occidente y astrum d 
vespertinum oritur 5 ), astrum igitur d, cum sol in X 
est, vespertinum oritur. Sed d simul cum ipso p 
oritur; itaque astrum {i, cum sol in X quidem puncto 
est, vespertinum oritur, cum autem in v est, vesper- 
tinum occidit. Et minor est circumferentia Xyv quam 
vdX 6 )] ergo astrum ft ab occasu vespertino ad ortum 




3) Autol. de sphaer. 9. 

4) Supponitur enim cum ^ astro occidere. 
marg. p. 53. 

5) Eucl. phaenom. 6. 

6) Conf. 6%6liov n@ et in appendice 61. 



AUEJA in 



132 



IIEPI EIHTOA&N KAI AT2E&N B. 



10 



qov, xal ccitb xrjg e67teQiag dvaxoXrjg eiti xijv eGTteoiav 

6v6lv HQoteQov. 

&' ' . Tcov eTtl xov avzov xvxlov cpeQO{Levcov cc6xqcov 

o6a a%oXa\i$avexai vjtb xov £cpdiaxov enl xa noog 

aQXXOvg, exelva eXcc66ova %qovov xqviJjlv a%ei xcov \%l 5 

xa voxia xov ^cpdtaxov. 

"E6xco 6ql%cov 6 ATBzJ, 

^eGr^ipQLvbg de 6 AB, 6 de 

xcov ^codCcov 6 rzl, xal ye- 

yQacpftco 7taQakXrjXog xvxXog 6 

H®, xal e6xco eit avxov dvo 

atiXQa xa H K, (SoQeioxeQOv 

{iev xov ^cpdLaxov xb H, voxlco- 

xeQOV de xb K' leyco oxl xb H 

xov K ela66ova %qovov xqv- 

ipLV ayeL. 

'Eitel yaQ dvo a6XQa e6xlv xa H K, fioQeLoxeQOv 

pev xb H, (yoxLcoxeQov de xb 1Q, enl de xov lcpdLa- 
(fiy) xov xb E. eXa66ova %qovov xqviPlv ayeL xb H xov E. 

xal extel eitl xov \1e6rj\1PQLv0v dvo a6xQa e6xlv xa E K, 20 
{fid) ^OQeLOxeQOv pev xb E, voxLcoxeQOV de xb K, eXa66ova 
(fis) %q6vov xqvijjlv cc&l xb E xov K. cckka xb H xov E 

elcc66ova %qovov xqzi^lv ayeL' xb H aQa xov K ekcc6- 

6ova xqovov XQvtpLV a\eL. 




15 



(iiy) 'Anb xov i xov %sq\ stilxoXcov nal dv6Scov xov a' 25 
(iipXiov. 

(pd) Ov fiovov yaQ snl xov ooigovxog xa ccgxqu Xapfyavovxai 
xov £adia%ov fioQELOxsQa %al voxuoxsQa, dXXa %aC, cbg svxav&a, 
xo vn' avxbv xb K voxlcoxsqov ovk snl xov OQL^ovxog ov. 

((is) 'Anb xov is xov a §l§Xlov xov avxov. 30 



FIGURA similis exstat in codicibus ACE, nisi quod zodiacus 
eandem positionem habet quam in figuris theorematis 5. 



DE ORTIBUS ET OCC. II. PROPOS. 9. 133 

vespertinum posterius, et ab ortu vespertino ad occa- 
suni vespertinum prius pervenit. 

IX. Astrorum, quae in eodem circulo feruntur, 9 
quaecunque a zodiaco septentrionem versus intercipi- 
untur, ea minore tempore occulta erunt quam quae 
sunt ad zodiaci partes meridionales. 

Sit horizon ctyfid 1 ), meridianus afi, zodiacus yd, et 
in sectione meridiani cum godiaco sit astrum s, et de- 
scribatur circulus parallelus rjft, sintque in eo duo 
astra r\ k, quorum sit r\ borealius quam zodiacus, k 
autem meridionalius idemque in meridiano positum; dico 
astrum r\ minore tempore occultari quam k. 

Quoniam enim duo astra sunt r\ k, quorum r\ 
borealius, k autem meridionalius est 2 ), inque zodiaco 
est astrum s, minore igitur tempore astrum r\ quam s 
occultatur 3 ). Et quia in meridiano duo astra sunt s k, 
quorum s borealius est ; _H autem meridionalius 4 ), mi- 
nore tempore s quam % occultabitur 5 ). Sed astrum r\ 
minore tempore quam s occultatur; ergo r\ minore 
tempore quam % occultatur. 



1) A sit septentrio, § meridies, d oriens, y occidens. AURIA 
in marg. p. 54. 

2) Ut ponitur. IDEM. 

3) Libri primi propositio 10 citatur a scholiasta Graeco 
(fty) et Auria in marg. p. 54; at vero de hoc loco idem plane 
valet, quod de iilo qui statim sequitur (vide adnot. 5). 

4) Conf. c%6liov [id et in appendice 62. 

5) Libri primi propositio 15 citatur a scholiasta Graeco 
((is), quae scriptura si vera est, pleniorem ille librum Autolyci 
in manibus habuit eo contextu, qui nunc exstat. Utique in iis 
theorematis, quae ad nostram aetatem pervenerunt nullum in- 
venitur, quod plane ad hunc locum conveniat. Nam libri 
primi propositio 9 similis est, neque tamen eadem atque illa 
in scholio citata. 



134 nEPI EIHTOA&N KAI AT2E&N B. 

(fts) i . Tolg a7tola{ipavo[i8VOig vitb xov ^codtaxov xaxd 
xdg dvaxoXag iitl xa xoog aoxxovg [teQrj, idv xd 6vv- 
dvvovxa a7tiyr\ xcov 6vvavaxeXXovxcov avxolg eXaxxov 
r){iC6ovg ^cpdCov, ixelva aitb xrjg ecpag iTtLXoXrjg iitl 
xr)v etiTtegCav i7tLXoXr)v itaoayiyvexai dicc 7tevxa^r\vov 5 
xa\ rovroi/ xbv %qovov dvaxeXXovxa ftecoQrjd-ifcexaL, 

(pt) artb de xrjg e67teQCag i7tLXoXr)g iici xr)v ecpav dv6tv dicc 
TtXetovcov r\ XQidxovxa r){ieQcov xa\ xovxov xbv %qovov 
xqviIjlv rc|ft, dnb de xrjg ecpag dvOecog iTtl xr)v e6ite- 
Qiav dv6tv did Ttevxa^vov xai xovxov xbv %qovov 10 
dvvovxa OQa&iqGexai, aTtb de xrjg e67teQiag dv6ecog iiti 
xr)v ecoav i7tixoXr)v oV iXaxxovcov rfeei r) XQLaxovxa 
r){ieQcov xa\ xovxov xbv %qovov xqv^lv d%ei. 

"E6xco oqiXcov 6 AVB, 6 de xcov ^cpdCcov 6 Jz/, xa\ 
a6XQ0V XI e6XC0 iltl XOV g^a dvGLg a sGnsQia 15 

t /& t \ ~ ' ^^^ *\ «= dvGLQ 

OQi^ovxog em xr\g ava- / ^^ 

xoXrjg TtQog aQxxovg xb 
E' xb dr) E dpa pev 
xco z/ avaxiXXei , ov% 
d[ia de avxcp dvvev' \fy ^/ I 20 

xcov aQa e7to[iivcov 
xiv\ xcp z/ 6vvdvvet. 
6vvdvvexco xcp H' r) 
(firj) aQa HzJ iXdxxcov i6x\v r){iC6ovg ^cpdCov (xovxo yaQ iv 
xfi 7tQ0xa6ev fiovXexat v7toxei6%-ai) , xa\ a7teiXr\cp&co 25 

(ftS) "EdsL^s zdg cpaGSLg zavzag sv zco <;' ^EcoQ^LLazL- nXsov 
d' szl s%si svzav&a zo Selkvvelv Slcc nXeiovcov tjllsqcov X' v.al 
iXaGGovcov rjLLEQcov X' yLVEG&aL ag Xsysi cpdasig. b^ioCcog %al slg 
zb si-rjg. 

((i£) 'Ev za>ds dia uXslovcov tj^leqcov X' %al sXaGGovcov 30 
r)fiSQcov X' dvdnaXiv s%ovglv ai KQvtpsig. sv zovzco zs xort zca 

([17}) Ensidr} r) JH sXaGGcov vno%SLzaL. 



EGnsQCa Xs^ 




1 Ecoa 
/ snLzo 
Xr\ 


snizoXrj 








DE ORTIBUS ET OCC. II. PROPOS. 10. 135 

X. Si quae astra a zodiaco ad partes orientales ™ P * 
intercipiuntur septentrionem versus, et ea quae simul 
cum his occidunt minus dimidio signo distant ab iis 
quae simul oriuntur, illa ab ortu matutino ad ortum 
vespertinum quinque mensibus perveniunt et hoc tem- 
pore orientia conspicientur, ab ortu autem vespertino 
ad occasum matutinum plus triginta diebus et hoc 
tempore occulta erunt, ab occasu autem matutino ad 
occasum vespertinum quinque mensibus et hoc tem- 
pore occidentia videbuntur, denique ab occasu vesper- 
tino ad ortum matutinum minus triginta diebus per- 
venient et hoc tempore occulta erunt. 

Sit horizon ayfi, zodiacus autem yd, sitque in hori- 
zonte astrum aliquod s ad partes orientales idque 
septentrionem versus 1 ); hoc igitur simul cum d ori- 
tur, neque tamen simul occidit 2 ); ergo simul cum 
aliquo eorum quae ipsum d sequuntur occidit. Occidat 
simul cum rj, sitque circumferentia rjd minor dimidio 
signo 3 ), et auferatur dimidii signi circumferentia dfr. 



PROPOS. 10: spatia maiora minorave triginta diebus com- 
paranda sunt cum ipso tricenorum dierum tempore, quod in 
sexta huius libri propositione ponitur (conf. 6%6liov fig); alia 
est ratio propositionis decimae primi libri, ubi de astris bore- 
alibus quae nunquam occultantur agitur. 

FIGURA similis exstat in codicibus ACE, nisi quod in AC 
zodiacus eandem positionem habet quam in figuris theorematis 5. 
Desunt in C littera s, in E notae adscriptae scocc [scocc AC] 
dvaig etc. 

1) Septentrio sit a, meridies §, oriens sit versus d y occi- 
dens versus y punctum. AURIA in marg. p. 56. 

2) Autol. de sphaer. 9. 

3) Graeca verba praeter solitum composita sunt; namque 
aliud est concludere aliquid ex praecedentibus per cxqcc (ut in 
libris manu scriptis h. 1. et similiter in proximis theorematis 
traditum est), aliud construere figuram secundum ea quae in 




136 IIEPI EIIITOA&N KAI AT2E&N B. 

r)^iC6ovg ^cpdCov TtsQLcpsQELa v) z/$, xal hi r) KT, xal 
E6tco tcp H %atd dLa^istQOv to A, %a\ ditsLXr^cp^co 
r){iC6ovg ^cpdCov TtEQLcpEQSLa r) AM, ual stL r) NJH. 
i%s\ tov i)XCov ETtl tov ^ a 
& bvtog tb z/ icoov dvag 
dvatsXXsL, %al tb E, 
TtdXtv i%sl tov r)XCov 
iril tov K bvtog tb r 

8G7tEQL0V SVVEL (itQO- 

Svvel yaQ tb K tov A~1T"' / scoa 

r), tOV ds r dvvov- sansQLCi\^^ ^*/ snLxoXr] 
tog tb z/ dvatsXXsL^ 8 LT0 V fi 

Ttal t6 E, tov aQa r)XCov iril tov K bvtog tb E 
i^TtEQLOv avatsXXsL' ditb d,Qa icpag iitLtoXrjg irii, i67ts- 
QCav i%LtoXr\v TtaQayCyvstat tb E a6tQ0v iv cp 6 rjXLog 15 
trjv ®K TtSQicpEQELav dLEQxstai. xal s6tiv r) ®K itsvts 
^ljjvcov. xal iitsl tov r)XCov irit tov M bvtog tb {isv A 
icpov dvatsXXsL (jtQoavatiXXsL yaQ to A tov M), tov 
6s A dvatiXXovtog tb H dvvsL, xal tb E, tov ccqcc 
r)XCov iril tov M bvtog tb E icpov dvvsL' to aQa E 20 
a6tQ0v TtaQayCyvstaL drib i6%EQCag i%itoXr\g irit icoav 
{p&) Sv6lv iv cp 6 r)lLog trjv KTM TtSQLCpEQELav dLEQ%staL. 
(v) ual s6tL [isC£cov ^codCov. TtdXLv insl tov rjlCov srit 
tov N bvtog tb H i67tEQLov dvvsL (rtQodvvsL yaQ tov 
H t6 JV), tov ds H dvvovtog xal tb E i67tEQL0v 25 



(/*<$•) Kctl drjlov oxl KQvipiv cc^sl xb E cc6xqov, sv co b rjfoog 
xr\v KTM nsQicpsQSiccv dLSQ%sxcxi. snsl yccQ xov r\kiov snl xov 
K bvxog xb E sotcsqiov smxsllsi, xovxsoxlv s6%ctxcog cpuivsxcci 
smxslXov , xov ds r)XCov snl xov M bvxog xb E scoov dvvsi, 
xovxs6xl nQcoxcog cpccivsxccL dvvov, xov ccqcc r\lLOv xr)v KTM nsQL- 30 

CpSQSLCiV dLSQXOUSVOV KQVIpLV a£,SL xb E. 

(v) 'Slg V.SLXCCL 6 £cod Lccxog. 



DE ORTIBUS ET OCC. II. PROPOS. 10. 137 

itemque xy, et sit A ipsi r\ iuxta diametrum oppo- 
situm, et auferatur dimidii signi circumferentia kp, 
itemque vdrj. Quia ; cum sol in # est, astrum d matu- 
tinum oritur, itemque e 1 ), porro quia ; cum sol in x 
est ; astrum y vespertinum occidit (nam k prius quam y 
occidit) ; occidente autem y ipsum d oritur 2 ), itemque e, 
astrum igitur e, cum sol in % est, vespertinum oritur; 
ergo ab ortu matutino ad ortum vespertinum astrum e 
pervenit eo tempore ; quo sol circumferentiam fht per- 
currit. Et est circumferentia &x quinque signorum 
ergo astrtim e quinque mensibus hanc percurrit. Et 
quia ; cum sol in ft est, astrum l matutinum oritur 
(nam X prius quam yu oritur 3 ), oriente autem l ipsum 
7] occidit, itemque £ 4 ), astrum igitur e, cum sol in [i 
est ; matutinum occidit; ergo ab ortu vespertino ad 
occasum matutinum astrum e pervenit eo tempore ; 
quo sol circumferentiam %y^i percurrit. Et est circum- 
ferentia xyp maior uno signo 5 ); ergo astrum e pluribus 
quam triginta diebus hanc percurrit 6 ). Rursus quia ; 
cum sol in v est ; astrum r\ vespertinum occidit (prius 
enim v quam r\ occidit), occidente autem r\ astrum 
quoque e vespertinum occidit ; astrum igitur e, cum 

enuntiatione theorematis proposita sunt. Rectum dicendi genus 
codices exhibent infra in propos. 15 — 18. 

1) Simul enim oriuntur et 8 et s astrum. AURIA in marg. 
p. 56. Scilicet in hypothesi hoc est positum. 

2) Eucl. phaenom. 6. 

3) Veluti antegrediens. AURIA in marg. p. 56. 

4) Simul enim occidunt i\ astrum et s. IDEM. Ex hypo- 
thesi scilicet. 

5) Id est, plus quam 30 grad. continet. IDEM. 

6) Ex enuntiatione huius theorematis (p. 134, 8) apparet 
insuper demonstrandum esse illud quod propositum est: xcu 
xovzov xbv %q6vov Y.qv\piv a^si. Hoc non omisit scriptor Graeci 
scholii pd- (append. 63). 



138 nEPI EIHTOA&N KAI ATZE&N B. 

dvvst, tov aQa r)XCov STtl tov N bvtog tb E s67tsQtov 
dvvst' cctco aQa tijg scoag dv6scog ETtl tr)v s67tsQCav 
dv6tv TtaQayCyvstat tb E aCtQOv hv co b r)Xtog tr)v MN 
7tsQLcp8Q£iav dtSQ%stat. ual s6ttv r) MN •jtsvis \nr\vcov. sv 
co ds b r)Xtog tr)v NA® TtsQttpsQsiav dtaTtOQSvstai, tb E 5 

(vcc) xQviptv dyst. %a\ sCttv r) NA® sXa66cov ^codCov. 

ta . "Ooa tcov aCtQcov aTtoXa^dvstat V7tb tov £co- 
dtaxov STtl ta JtQog {isGrnipQtav , [hxsCvotg] sav ta 
6vvs7tttsXXovta ditb tcov 6vv8vv6vtcov ditsyri hXdttova 
r)[it6ovg ^codCov TtEQtcpSQEiav, hxsiva djtb trjg scoag dva- 10 
toXr\g h%o[isvr}v tr)v s67tsQtav s7tttoXr)v 7totr)6stat, STtstta 
tr)v scoav dv6tv dt' hXa66ovcov r) X r)\iSQcov, sita tr)v 

(v§) s67tsQtav dv6tv, sita tr)v sc6avs7tttoXrjv, %Qvi\)tvts TtXsiova 
Xqovov d£,st tcov S7tl tov ^codtaxov tstay^isvcov a6tQcov, 

"E6tco oql^cov 6 AB, b ds tcov ^codtcov 6 Jz/, xal 15 
EtXr]<p$co a6tQa dvo STtl trjg dvatoXrjg td /1 E, xcct 
tb E tcp J afia dvatsXXstco, TtQotsQOv ds dvvstco' 
tcov aQtt 7tQ07]yov{Lsvcov ttvl 6vvdvvst. 6vvdvvstco tco 
Z' r) aQa Zzl TtEQttpEQSta, sXdttcov s6tlv r)ptt6ovg £co- 

(vcc) 'Ensl yccQ fj NAH r)(iCoovg sXrjcpQ-rj ^codCov, r) N/d 20 
sXccttcov rjfiLGovg sotl ^codiov. fjiilasog ds r) d®' oXrj ixqoc fj 
Nd® sgtlv sXccttcov ^codCov. 

(v$) Tovtsgtl dicc nXsLOvcov rj X' fjpSQCov ccnb sonsQLCcg 8v- 
oscog snl scoocv stiltoXtjv nccQccyCvsTccL' rcc yccQ snl xov gcodLccKov 
SlCC X' fj[lSQCOV UOLSLTCCL 8lcc to s' d-scoQijiia. 25 

1) Hoc loco scriptor eadem brevitate utitur quam supra 
p. 137 suppletis paucis verbis explanavimus. Conf. praefat. 
ad p. 136, 16 sq. 23; 138, 4—6, et in appendice schol. 64. 

2) Haec quoque pars demonstrationis in brevius contracta 
est. Ad extrema verba f Id est minor quam 30. Grad.' adnotat 
Auria in marg. p. 57. Et conf. o%6Xlov vcc (append. 65) atque 
in praefatione adnot. ad p. 138, 4—6. 

FIGrUBA similis exstat in codicibus ACE, nisi quod zodiacus 
eandem positionem babet quam in figuris theorematis 5, et 
littera s deest. Notas scou [scocc AC] dvoLg etc. om. E. 



DE ORTIBUS ET OCC. II. PROPOS. 11. 139 

sol in v est, vespertinum occidit; ergo ab occasu 
matutino ad occasum vespertinum astrum s pervenit 
eo tempore, quo sol circumferentiam \lv percurrit, 
quae quinque mensium est 1 ). Sed quo tempore sol 
circumferentiam vd& percurrit, astrum s occultatur; 
et est circumferentia vd& minor uno signo 2 ). 

XI. Si quae astra a zodiaco ad partes orientales 11 
intercipiuntur meridiem versus, et ea quae simul cum 
liis oriuntur ab iis quae simul occidunt minus dimidii 
signi circumferentia distant, illa post ortum matu- 
tinum deinceps ortum vespertinum facient, tum occa- 
sum matutinum minus XXX diebus, porro occasum 
vespertinuin, denique ortum matutinum, atque ab occasu 
vespertino ad ortum matutinum longiore temporis spatio 
occulta erunt quam astra quae in zodiaco posita sunt. 

r , Sit horizon ccB, zo- 

867CSQLCC # * 7 

dj 0Lg diacus autem ^d 3 ), et 

sumantur duo quae 

sint in ortu astra d s, 

et astrum s simul cum 

6 oriatur, prius autem 

occidat 4 ); ergo simul 

EG7t8Qia ' N? ^ / cum aliquo eorum 

dvaToXr} ^^^ ^^ saa quae antecedunt occi- 

/3 uvaxolr) dit Occidat simul 

cum £, sitque circumferentia £d minor dimidio signo 5 ). 

3) Oriens sit S punctum, occidens y, septent. sit cc, merid. 
vero (3. AURIA in marg. p. 59. 

4) Autol. de sphaer. 9. 

5) Minor grad. 15, ut auctor in proposit. supponit. AURIA 
in marg. p. 58. De Graecis verbis insolito more compositis 
conf. p. 135 adn. 3. 




140 



IIEPI EIHTOA&N KAI ATSESN B. 



dCov. s6tco tco Z Tcaxa dcd^ETQov ro H' xal r) TH 

d.Qa sXa66cov e6tlv r)[iC6ovg ^cpdCov. xal aTtSLXrjcp&co 

r)[iL6ovg ^codCov TtEQLCpsQSLa r) r@, xal r) HTK, xal 

stl r\ ts AA xal r) MZ. stcel roi) r)XCov STtl rot) A 

ovTog ro z/ scpov dvaTsXXsL, %a\ ro E, TtdXtv ETtsl tov 

rjXCov stcl tov & ovTog to T s6itsQL0v dvvsL, tov ds r 

dvvovTog ro A dvaTsXXsL, ual ro E, roi) aQa r)XCov 

ETtl tov © ovTog, xal 

dvvovTog rov JT, rl P > 

•> , £( P a 

E s67t£QL0V avatsXXsL. Svaig 

TtdXLv STtsl tov r)XCov 

ETtl rot) K ovtog ro H 

scpov dvaTsXXsL, rov 

ds H dvaTsXXovTog to 

zaTa dLaiJLETQov ro Z 



SGnSQLU 

dvGLg 



dvvsL, tov ds Z dvvov- 
Tog xal r6 E dvvsL, 



SGnEQLU 

uvuxoXr) 




10 



15 



scou avuxoXr) 



rot) aQa r)XCov stcl roi) K ovTog ro E scpov dvvsL. 
Tcal s6tlv sXa66cov ^cpdCov r) SHTK itdXLV stcel tov 
r)XCov STtl tov M ovTog t6 Z E6TtsQL0v dvvEL, rov ds Z 
dvvovtog Tcal to E dvvsL, rov ccQa r)XCov stcl rou M 
oVro^ to E e6tieqlov dvvsL' dito aQa Tr)g s6TtSQCag 
8v6scog STtl Trjv scpav dvaToXrjv TtaQayCyvEtat sv cp 6 
r)XLog Tr)v MzlA TtEQLCpEQELav 6Csl6lv. xal e6tlv r) MAA 
psC^cov ^codCov. 

l$ . r '06a tcov cc6tqcov aTtoXa\jb$dvsTai vito tov t,cp- 
(vy) dLaxov TcaTa Tag dvaToXdg £%l Ta TtQog ft£0*^^/3ot«i/, 

(vy) 'AvaynocLcog nQOGE&r}7i£ xcov snl xa nQog [iSGrifi^QLav, 
cov xa [isv avvavaxiXXovxa xcov Gvvdvvovxcov ani%EL %co8lov 
7t8QLcpiQS;av' ovdsv yaQ xcov snl xov ^codiav.ov ovds xcov fioQSto- 
xsqcov avxov ocp&rjGExaL sv (jllo. vvazl "aol scnsQiov inixsXXov 
%al scoov dvvov dia xo lu' xov u l3l^Xlov. 



20 



25 



80 



DE ORTIBUS ET OCC. II. PROPOS. 12. 141 

Sit ipsi g iuxta dianietruni oppositurn astruru ^; ergo 
etiam circumferentia yr\ minor est dimidio signo. Et 
auferantur singulae dimidii signi circumferentiae y%- 
rjyx dX ^. Quia, cum sol in A est, astrum d matu- 
tinum oritur, itemque s 1 ), porro quia, cum sol in # 
est, astrum y vespertinum occidit, occidente autem y 
astrum d oritur 2 ), itemque s, astrum igitur s, cum 
sol in % est et y occidit, vespertinum oritur. Rursus 
quia, cum sol in k est, astrum r\ matutinum oritur, 
oriente autem rj astrum f oppositum occidit, occidente 
autem £ ipsum quoque s occidit 3 ), astrum igitur s, 
cum sol in % est, matutinum occidit. Et est circum- 
ferentia ^rjyx minor uno signo 4 ). Rursus quia, cum 
sol in fi est, astrum £ vespertinum occidit, occidente 
autem £ ipsum quoque s occidit ), astrum igitur s, 
cum sol in [i est, vespertinum occidit; ergo astrum s 
ab occasu vespertino ad ortum matutinum pervenit eo 
tempore, quo sol circumferentiam [idl percurrit, quae 
maior est uno signo 6 ). 

XII. Si quae astra a zodiaco ad partes orientales p ™£' 
intercipiuntur meridiem versus 7 ), et ea quae simul 

1) J enim et s simul oriuntur, ut est suppositum. AURIA 
in marg. p. 59. 

2) Eucl. phaenom. 6. 

3) Suppositum enim est £ cum s occidere. AURIA in 
marg. p. 59. 

4) Hoc similiter demonstratur ac supra p. 138 expositum 
est iu Graeco scholio vcc (append. schol. 65). Praeterea con- 
clusio supplenda est, astrum s ab ortu vespertino ad occasum . 
matutinum minus triginta diebus pervenire. 

5) Ut positum est. AURIA in marg. p. 59. 

6) Maior gr. 30. IDEM. Ultima pars huius demonstrationis 
in brevius contraeta est. Quae desunt, ea facile supplentur ex 
propos. 16 extrema. 

7) Conf. 6%6\iov vy et in appendice 66. 



142 



IIEPI EIIITOA&N KAI AT2ES>N B. 



eav xa 6vvavatiXXovta tcov 6vvdvv6vtcov d%iyr\ t,co- 
dCov TteoMpsosLav , exelva tr\ avtrj vvxtl xa\ e6%iQia 
e%tt iXXet xa\ ecoa dvvet, xa\ %XeCova %qovov xqvi\iiv 
d^et tcov e%\ to£5 £cpdtaxov tet ay^iivcov aGtQCov. 

"E6tco oqC^cov 6 AB, 6 de tcov ^cpdCcov 6 JHz/, xa\ 
a6tQov i%\ trjg dvatoXijg eCtco %Qog [ie6r]{ipQCav tb E, 
xa\ tb E tcp z/ 6vvavateXXitco' tcov aQa r)yov{iivcov 
tiv\ tcp A 6vv6vvei. 6vvdvvitco tcp Z* r) aQa z/Z 
c^cpdCov e6tCv. xa\ tcp Z xatd did^ietQov e6tco tb &' xa\ 
7] r® «o« ^cpdCov e6tCv. 
xa\ tet^irJ6&co i) TQ dC%a 
xata tb K 6r]^ietov, xa\ 
d%etXr]cpd-co r]{iC6ovg t,cp- 
dCov TteQtcpeQeia r) ZH, xa\ 
ett r\ AA. e%e\ tov r]XCoa 
(vd) S7t\ rou A bvtog tb z/ 
a6tQ0v ecoov dvatiXXet, 
xa\ tb E, TtdXtv e%e\ tov avarolrj 
rjXCov e%\ tov K ovtog *9* diai * 

tb r a6tQov e6iteQiov dvvet (f]{iC6ovg yaQ e6ttv r\ TK\ 
Tot> de T dvvovtog tb A dvatiXXet, xa\ to E, tov aQa 
rjXCov e%\ tov K bvtog tb E e6%iQtov dvatiXXet. itdXiv 
e%e\ tov rjXCov e%\ tov K bvtog tb ® ecpov dvatiXXet, 
tov de & dvateXXovtog tb Z dvvet, tov de Z dvvovtog 
xa\ ro E dvvet, tov aQa r\XCov e%\ tov K ovtog tb E 
ecpov dvvet. dXXd [ir)v xa\ e%\ toi> K bvtog t6 E e6%iQtov 




BGTtBQia 



20 



25 



(vd) 'Slg t%£i &EGScog 6 Zcpdianog. 



FIGURA similis exstat in codicibus ACE, nisi quod zo- 
diacus — itenique in reliquis hnius libri figuris — eandem 
positionem liabet quam in figuris theorematis 5. Notas ad- 



DE ORTIBUS ET OCC. II. PROPOS. 12. 143 

curn his oriuntur ab iis quae simul occidunt unius 
signi circuniferentia distant, illa quidem nocte eadem 
et vespertina oriuntur et matutina occidunt, eadem- 
que longiore temporis spatio occulta erunt quam astra 
quae in zodiaco posita sunt. 

Sit horizon a/3, zodiacus autem yd, et astrum ali- 
quod ad partes orientales meridiem versus 1 ) sit s, et 
oriatur s simul cum $; ergo astrum s simul cum ali- 
quo eorum quae ipsum d antecedunt occidit 2 ). Occidat 
simul cum g, sitque dt, unius signi circumferentia 3 ). 
Et ipsi £ iuxta diametrum oppositum sit -fr; ergo etiam 
y& unius signi circumferentia est. Et secetur y& bi- 
fariam in puncto %, et auferatur dimidii signi circum- 
ferentia tpq, itemque ld. Quia, cum sol in X est, 
astrum d matutinum oritur, itemque £ 4 ), porro quia, 
cum sol in z est, astrum y vespertinum occidit (cir- 
cumferentia enim y% dimidii signi est), occidente 
autem y astrum d oritur 5 ), itemque s, astrum igitur s, 
cum sol in % est, vespertinum oritur. Rursus quia, 
cum sol in k est, astrum %■ matutinum oritur, oriente 
autem # astrum g occidit 6 ), occidente autem g etiam 
s occidit 7 ), astrum igitur s, cum sol in % est, matu- 
tinum occidit. Atqui idem, cum sol in % est, etiam 

scriptas eansQLCi Svgls etc. om. E; icoa [sic CJ 8v6ig sub eonsQicc 
dvccToXr'i om. A. 

1) Partes orient. sint versus d, occidentales vers. y punc- 
tum: a sit septentrio, {3 punctum meridies. AURIA in marg. 
p. 60. 

2) Autol. de sphaer. 9. 

3) Conf. supra p. 135 adn. 3. 

4) Ut supponit auctor in propos. AURIA in marg. p. 60. 

5) Eucl. phaenom. 6. 

6) Per diametrum sunt. AURIA in marg. p. 60. 

7) Simul enim occidere suppositum est. IDEM. 




144 nEPI EIIITOASN KAI atse^n b. 

(vs) dvaxiXXet' iv xfj a.Qa avxfj vvxxl xb E cc6xqov i67ti- 
qlov (xe) dvaxiXXet xal icpov dvvei. TtdXtv iitel xov 
r)XCov iitl xov II ovrog xb Z cc6xqov itiniQiov dvveu, 
xov de Z dvvovxog xal xb E dvvet, xov aQa r)XCov 

(vs) inl xov H bvxog xb E iCitiQiov dvtiexai. dXXd [ir)v 
occcl iitl xov A ovxog icpov dvaxiXXet' xqviIjlv aQa a%ei 
iv <p 6 r)XLog xr)v HAA iteQiyiQeiav dtiQ%exat. 

ty . Tolg a7toXa{if5avo[iivoig aCXQOtg VTtb xov %co- 
Oiaxov Tcaxa xccg dv6etg iitl xa TtQog aQXXOvg iav xa 
Gvvdvvovxa aitb xoov 6vvavaxeXXbvxcov cc6xqoov a7tiyr\ 10 
iXdxxova rj^taovg tlcodCov 7teQi(piQetav, ixelva djtb xrjg 
icpag i%LXoXr\g e%o\iivr\v xr)v iGTteQtav e7ttxoXr)v itot- 
r\6exat, elxa xr)v icpav Sv6lv, elxa xr)v itiiteQiav 6v6lv, 
eXdxxova de %qovov xqviIjlv a£et xoov eitl xov £<pdLaxov 
xexaypivcov cc6xqcov. 15 

"E6xco oqicIoov 6 AB, 6 de xoov £<pdCoov 6 TA ', xal 

(v£) cc6xqov xv iitl xfjg dv6eoog 7tQog ccQxxovg e6xco ib E, 
6vvOvvov \xev xoo jT, 6vvavaxiXXov de xoov 7tQor\yov- 
ixivcov xlvI xov T xop Z' r) ocQa TZ iXdxxoov i6xlv 



(vs) Msvsl yccQ b rjXiog vnb yrjv kccl xrjg sonsQiag dvaxoXfjg 20 
%a\ xfjg scoccg dv6scog ysvoLLSvrjg tov E' &6ts sivLOTcog sv xr\ 
ccvzrj vvy.t\ xb E a6XQ0v sonsQiov dvaxsXXsL %a\ scpov Svvsl. 

(v?) Msxccv.Lvr]& svxog yccg xov navxbg xov psv © sn\ xov z/ 
ysvofisvov xov 8s K sni xov A. 

(v£) To yag E fioQSioxsQOv ov uqoxsqov dvaxsXXsL Slcc xb 25 
<&•' xov 7Csql %LvovLLsvr\g 6cpaLQag' xov ovv E snl xrjg dvaxoXrjg 
bvxog, xb F sxl vnb yfjv soxl. %al S6tl nQor\yov\isva xd dnb 
xov r cog sn\ xb & %al M' xcov aQa nQorjyov[isvcov xlvl xov T, 
olov xcp Z, 6vvavaxsXXsL xb E. 

1) Conf. 6%oXlov vs et in appendice 67. 

2) Quia circumferentia rjdX ex construetione duo signa con- 
tinet, unum autem signum sol XXX diebus percurrit (propos. 6 
buius), demonstrata igitur est extrema pars propositionis f eadem- 
que longiore temporis spatio occulta erunt' cet. Plenior de- 
monstratio in simili theoremate infra (propos. 17 extr.) exstat. 



DE ORTIBUS ET OCC. II. PROPOS. 13. 145 

vespertinum oritur; ergo uua eaderaque nocte astrum 6 
et vespertinum oritur et matutinum occidit 1 ). Rursus 
quia, cum sol in r\ est, astrum £ vespertinum occidit, 
occidente autem £ etiam s occidit, astrum igitur e, 
cum sol in rj est, vespertinum occidet. Atqui idein, 
cum sol in X est, matutinum oritur; occultum igitur 
erit eo tempore, quo sol circumferentiam rjdX per- 
curret 2 ). 

XIII. Si quae astra a zodiaco ad partes occiden- 13 
tales intercipiuntur septentrionem versus, et ea astra 
quae simul cum his occiduut ab iis quae simul oriun- 
tur minus dimidii signi circumferentia distant, illa 
post ortum matutinum deinceps ortum vespertinum 
facient, tum occasum matutinum, deinde occasum ve- 
spertinum, atque ab occasu vespcrtino ad ortum matu- 
tinum minore temporis spatio occulta erunt quarn 
astra quae in zodiaco posita sunt. 

Sit horizon cc(5, zodiacus 
autem yd, et astrum aliquod 
ad partes occidentales septen- 
trionem versus 3 ) sit £, quod 
simul cum y occidat, cum ali- 
quo autem eorum quae ipsum 
y antecedunt, id est cum £, 
oriatur 4 ), et sit circumferen- 
tia y% minor dimidio signo 5 ). 
Sit ipsi £ iuxta diametrum 

3) Oriens sit #, occidens y, septentrio cc et merid. §. AURIA 
in marg. p. 61. 

4) Conf. o%6liov vg et in appendice 68. 

5) Conf. supra p. 135 adn. 3. f Ut supponitur in proposit.' 
AURIA in marg. p. 62. 

Autolycus. 10 





146 nEPI EIHTOA&N KAI AT2E&N b. 

r){iC6ovg ^cpdCov. £6tco rra Z xata did^istQov tb H, 

xccl a7teiXri<p&co r){iC6ovg ^cpdCov TtEQLcpEQELa r) te ST 

xal r) KTZ %al r) AH xa\ Ixi r) AM. eitel tov r)XCov 

iitl tov K bvtog tb Z ecpov dvateXXeL, xal tb E, 

itdXtv eitel tov r)XCov eitl tov A bvtog tb H e67teQLOv 5 

dvvet, xal tb Z e67t£QL0v dva- 

tiXXsL, xal tb E, TtdXtv enel 

tov r)XCov iitX tov M bvtog 

tb z/ ecoov dvatiXXEL, tov 

de d dvatiXXovtog tb T dv- t[ /ju \ 10 

vel, xal tb E, to£> d.Qa r)XCov 

i%\ tov M bvtog tb E icpov 

Svvel. TtdXLV insl rou r)XCov 

i%\ tov & bvtog ro T £6%eqlov 

dvveL, xa\ tb E, xatd de tb K 15 

ecpov dvateXXei, d%b aQa trjg ecpag dvatoXrjg i%\ tr)v s6%s- 

QCav dvatoXr)v tb E TtaQayCyvetat, ditb 6e tfjg E6%sQCag 

dvatoXfjg i%\ ttjv ecpav dv6LV, xai d%b tr\g ecpag dv6scog i%\ 

(yr\) tr)v s6%£QCav 6v6lv, xal xQvtpLv dyeL iv cp 6 rjXLog tr)v ®TK 
TteQicpeQeLav 8LEQ%staL^ rjtLg i6t\v iXc66cov t,cpdCov' co6te 20 
ila66ova %qovov xqvjJjlv dyeL tcov i%\ tov t^coOLaxov. 

l6 ' . Totg d%oXa^avoiiivoLg v%b tov ^codLaxov xatd 
tdg Ov6ELg i%\ ta %Qog aQxtovg idv td 6vv8vvovta ditb 

( v &) tcov 6vvavatEXXovtcov d%i%r] ^cpdCov %£QLCpEQ£Lav^ ixElva 
[xQVt^LV ovx u£,£L aXXd] tfjg avtrjg vvxtbg icod ts i%L- 25 
tiXXovta xal £6%£Qia dvvovta cpavr]6£taL, xal ^isC^ova 
Xq6vov xqvi}jlv a%£L tcov i%\ tov ^cpdcaxov tEtayiiivcov 
[tr)v £67t£QCav i%LtoXr)v xal icpav 6v6lv %olov\levcov\. 

(vrf) IIccXlv yccQ i8sC%&ri on, iv co b rjhog ini tov © iatC, 
to E 8G%cctcog cpccCvstai dvvov, iv co ds ini tov K iati, 7tQcotcog 30 
cpccLvetcti imtsXlov * * * rjtig iativ ildaacov gcodiov. 

(v&) Zr\tsi iv tco ls'. 



DE ORTIBUS ET OCC. II. PROPOS. 14. 147 

oppositum rj, et auferantur singulae dimidii signi circum- 
ferentiae &y ty% lr\ dp. Quia, cum sol in x est, astrum £ 
matutinum oritur, itemque s 1 ), porro quia, cum sol in X 
est, astrum r\ vespertinum occidit, ac £ vespertinum ori- 
tur 2 ), itemque s, porro quia, cum sol in ft est, astrum d 
matutinum oritur, oriente autem d astrum y occidit 3 ), 
itemque s, astrum igitur s, cum sol in {i est, matutinum 
occidit. Rursus quia, cum sol in & est, astrum y 
vespertinum occidit, itemque s, sed, cum sol in z est, 
matutinum oritur, astrurn igitur s ab ortu matutino 
pervenit ad ortum vespertinum, et ab ortu vespertino 
ad occasum matutinum, et ab occasu matutino ad 
occasum vespertinum, idemque eo tempore occultum 
est, quo sol circumferentiam fty% percurrit, quae minor 
uno signo est 4 ); itaque astrum s minore tempore 
occultum est quam astra quae sunt in zodiaco. 

XIV. Si quae astra a zodiaco ad partes occiden- 14 
tales intercipiuntur septentrionem versus, et ea quae 
simul cum his occidunt ab iis quae simul oriuntur 
unius signi circumferentia distant, illa quidem nocte 
eadem et matutina orientia et vespertina occidentia . 
apparebunt 5 ), eademque maiore temporis spatio occulta 
erunt quam quae in zodiaco posita sunt. 

1) Astra eniin s et £ siuiul oriuntur, ut supponitur. AURIA 
in marg. p. 62. 

2) Est enim rj ipsi £ per diametrum, et £ oriente ipsum r\ 
occidit. IDEM. Scilicet secundum Eucl. phaenom. 6. 

3) Eucl. phaenom. 6. 4) Conf. 6%6l. vr\ et in app. 69. 
5) Sequuntur apud Auriam haec uncinis seclusa c Quin 

etiam maiori tempore occultabuntur iis, quae in circulo Zo- 
diaco sunt: et quae ortum vespertinum: et occasum matutinum 
faciunt'. Ad quae idem in marg. p. 63 adnotat f Haec non 
leguntur in aliis Vaticanis exemplarib. graecis manuscriptis : et 
videntur abundare'. 

10* 



148 



IIEPI EIIITOA&N KAI ATSES2N B. 



"E6too OQi^av 6 AB, 6 de toov t,oo8Coov 6 JTz/, Kal 
cc6tQ0v xi S7tl tijg dv6eoog enl tcc TtQog aQKtovg e6too 
tb E, kccl 6vvccvccteXXetoo [tev too Z, 6vvdvvetoo de 
too T' £codCov ccQa neQicpegeia r) TZ' Xeyoo btL tb E 
atitQOv [kqvi^lv ov% e%ei ccXXcc] rr)g ccvtrjg vvKtbg kcu 
eooov ccvccteXXeL %al etiiteQiov dvvei. 

"E6too yccQ top Z Kcctcc Slcc- 
lietQov tb H xccl tet[irja&co 
r) TZ dC%a Kcctcc tb ® 6r\- 
lieiov, kccl aiteilTqcpd-co r){iC6ovg 
t,op8Cov TteQicpeQeitt r) HK^ kccl 
hi r) AA. ETtel rov rjXCov hnl 
tov & ovtog tb Z ecoov ccva- 
tellei, kocl tb E ccqcc eopov 
ttvatelXei, tb ds T e67teQLov 
dvvet, kccl tb E ccqcc, ev trj 

ttvtrj vvKtl ttQcc to E cc6tQ0v kccI eooov clvccteXXeL kccI 
e67teQiov dvvei. 

HccXlv eitel tov r)XCov eiti tov K bvtog tb H 
e67te f QLOv dvvet, tov de H dvvovtog tb Z ccvccteXXeL, 
Tcccl ro E, tov ccqcc r)XCov eitl tov K bvtog tb E 
e67teQL0v dvateXXet. TtdXtv ejcsl tov r)XCov enl tov A 
bvtog t6 z/ eooov ctvccveXXeL, rov de z/ dvateXXovtog 
tb T dvveL, xal ro E, rov c'oa r)XCov e%l tov A bvtog 
tb E eooov dvvei. 

te . r '06cc toov cc6tQoov aTtoXtt^LJottvetccL vtco tov tjop- 
Slcckov Kcctcc tccg 6v6eLg e%\ tcc %Qog ccQKtovg, tovtoLg 




10 



15 



20 
25 



63. Et 



1) Ut supponitur in proposit. AURIA in marg. p. 63. Et 
conf. supra p. 136 adn. 3. 

2) Simul enim oriuntur astra £ et s: ut ponitur. AURJA 



DE ORTIBUS ET OCC. II. PROPOS. 15. 149 

Sit horizon a/3, zodiacus autem yd, et astrum ali- 
quod ad partes occidentales septentrionem versus sit s 7 
idque simul cum g oriatur ac simul cum y occidat, 
et sit y% unius signi circumferentia 1 ); dico astrum s 
eadem nocte et matutinum oriri et vespertinum occi- 
dere. 

Sit enim ipsi £ iuxta diametrum oppositum r\ y et 
circumferentia yt, bifariam secetur in puncto #, et 
auferatur dimidii signi circumferentia r\K, itemque dX. 
Quia cum sol in & est, astrum £ matutinum oritur, 
ideoque etiam s matutinum oritur 2 ), astrum autem y 
vespertinum occidit, ideoque etiam £ 3 ), eadem igitur 
nocte astrum s et matutinum oritur et vespertinum 
occidit. 

Rursus quia, cum sol in x est, astrum r\ vesper- 

tinum occidit, occidente autem r\ astrum g oritur 4 ), 

itemque s, astrum igitur s, cum sol in % est, vesper- 

tinum oritur. Rursus quia, cum sol in X est, astrum 

6 matutinum oritur, oriente autem 8 astrum y occidit, 

itemque £, astrum igitur «, cum sol in X est, matu- 

tinum occidit. Et est circumferentia xrjdX diiorum 

signorum, quam sol duobus mensibus percurrit; ergo 

astrum s maiore temporis spatio occultatur quam auae 

in zodiaco sunt astra 5 ). 

. . Pr °p- 

XV. Si quae astra a zodiaco ad partes occidenta- 15 

les intercipiuntur septentrionem versus, et ea quae 

in marg. p. 64 (nisi quod D, id est d, per errorem expressum 
est pro E, id est *). 

3) Simul enim occidunt s et y astra, ut ponitur. IDEM. 

4) Eucl. phaenom. 6. 

5) Haec extrema supplevimus nostra coniectura. Et conf. 
propos. 12 extr. (p. 144 cum adnot. 2). 






150 nEPI EIHTOA&N KAI ATSE.QN B. 

idv rd 6vvdvvovra d%b rcov 6vvavareXXovrcov d%i%r] 
%Xiov ^cpdCov %eQtcpeQeCag, ixetva ovx d%et XQviptv, 
aXXa rrjg avrrjg vvxrbg icpd <^re)> i%triXXet xa\ i6%iQta 
dvvet d%b rfjg icpag i%troXfjg [ii%Qt rf)g e6%e^Cag 
dv6ecog. 5 

"E6rco oqC^cov 6 AB, 6 ds rcov ^codtoov 6 TA^ %al 
a6rQov rt TtQog dv6[iatg i%\ ra %Qog aQxrovg e6rco rb 
E, xa\ 6vvdvvirco ijtev rco JT, 6vvavareXXirco de rco Z, 
xa\ e6rco f) FZ %XeCcov ^cpdCov TteQtcpeQeCag' Xeyco ort 
rb E a6rQov xQviptv ovx a\et^ aXXd rfjg avrfjg vvxrbg 10 
(£) xa\ i67tiQtov dvvet xa\ iooov iittriXXet. 

'A^etXrjcp&co yaQ f)ytC6ovg ^cpdCov neQtcpiQeta f) I~!H, 
xa\ £rt r) ®Z, xa\ e6rco rcp Z xaxa dtdperQov rb K, 
xa\ aTtetXrjcp&co f)[iC6ovg ^cpdCov TteQtcpiQeta f) KA, xa\ 
f'rt r) AM. xa\ iitel rov r)XCov i%\ rov H ovrog ro 15 
r i6%iQtov dvvet, xa\ r6 E, %dXtv i%e\ rov rjXCov 
i%\ rov & bvrog rb Z icpov dvariXXet, xa\ rb E, rr)v 
(|a) ©H aQa %eQtcpiQetav 8teQ%otxivov rov r)XCov rb E 
(£{3) a6rQov xa\ ecpov dvariXXov OQtxrat xa\ e6%iQtov dvo- 
ytevov. %dXtv i%e\ rot> f)XCov i%\ roi) A ovrog rb K 20 



(|) ^LUCpOQCOg eXufie TCQOtEQOV xf\V £67tEQlCiV SvGLV £§£L yUQ 

xr)v ecouv dvaxoXr)v nQoxeQOv, eneLdr) 6 r]XLog dnb xov & eni 
xb H nuQuyCvexaL. 

(|a) Efaoxcog' en\ [tev yaQ xov © vvxog xov r)XCov tiqcqxov 
ecpuvr} uvuxeCXav xb E eco&ev, xov Z 7jlll6v gcpdCov uns%ovxog 25 
xov r)XCov ov%ovv exi fiuXXov cpuCvexui xb E eco&ev, nXeov 
dcpL6xa(ievov xov fjXCov xov Z. kuXlv eneidr) en\ xov H vvxog 
xov r)XCov e6%uxcog ecpdvrj dvvov xb E eeneQug, bxl fiuXXov cpaC- 
vexuL dvvov eeneQug, nXeov ucpt6xufievov xov rjXCov xov T' 
onov ovv uv evQS&rj 6 r)XLog y.ud'' otov8r\noxe 6rj(ieCov xrjg ©H 30 
neQLcpeQSLug, ev xfj uvxij vvnxi y.ul eco&ev cpuivexuL xb E dva- 
xeXXov %u\ e6neQug dvvov. 

(||3) 'AdiucpoQcog elne xb %u\ ecoov uvuxeXXov oquxul kul 
eeneQLOV dvvov ev [rco] [ie6cp yuQ xr)g nEQicpEQEiug cpuCvsxuL 

(IOVOV, OVKEXL 8e t) ECOOV r) E6nEQL0V. 35 



DE ORTIBUS ET OCC. II. PROPOS. 15. 151 

simul cuin his occidunt ab iis quae simul oriuntur 
plus unius signi circumferentia distant, illa non oc- 
cultabuntur, sed eadem nocte et matutina oriuntur et 
vespertina occidunt ab ortu matutino ad occasum 
vespertinum. 

Sit horizon a/3, zodiacus autem yd, et astrum ali- 
quod ad partes occidentales 
septentrionem versus *) sit s, 
idque simul cum y occidat, 
simul autem cum % oriatur, et 
sit y£ maior quam unius signi 
circumferentia; dico astrum s 
non occultatum iri, sed eadem 
nocte et vespertinum occidere 
et matutinum oriri. 
Auferatur enim dimidii signi circumferentia yr\, 
itemque &£, sitque ipsi % iuxta diametrum oppositum 
x, et auferatur dimidii signi circumferentia xX, item- 
que d{i. Et quia, cum sol in rj est, astrum y vesper- 
tinum occidit ; itemque e 2 ), porro quia, cum sol in fr 
est, astrum g matutinum oritur ; itemque e 3 ), astrum 
igitur s, cum sol circumferentiam ftrj percurrit, et 
matutinum oriens et vespertinum occidens conspicitur 4 ). 
Rursus quia, cum sol in A est, astrum x vespertinum 




1) Oriens sit d, occidens y, septentrio cc, rnerid. $. AURIA 
in marg. p. 64. 

2) Supponitur enim s et y simul occidere. IDEM in 
marg. p. 65. 

3) Supponitur enim 8 et £ simul oriri. IDEM. 

4) Conf. 6%6liu '6,a et £|3 (in appendice 70 et 71). 



152 nEPI EniTOA&N KAI AT2E.QN b. 

(gy) s6itiQL0v 6vvsl, rb ds Z s6itiQiov dvariXXsL, xal tb 
E aQa iajtsQiov dvariXXst. TtdXtv iitsl ro# r\Xiov ettl 
rov M ovrog rb A sooov dvariXXst, rb ds r sooov 

(t-d)dvvsL, Tcal rb E aQa scpov Svvsl' rr\v ®T aQa tcsql- 
cpsQSiav dLSQ%o[isvov rov r\Xiov rb E a6rQov dvariX- 5 
Xov oQarai, rr\v ds MZH dvvov ' rr\v aQa 0H xal 
dvvov %a\ dvariXXov OQarau. 

l$ '. Toig cc7toXa^ccvoybsvoLg vitb rov £,<pdLaxov xara 
rccg dv6sLg TtQog ixs6r\^^Qiav sav rcc 6vvdvvovra a6rQa 
ccTtb rc5v 6vvavarsXX6vrcov a7tiyr\ sXarrov (jr\\LL6ovgy 10 
^(pdiov TtSQLCpsQsiag, ixsLva aitb rr\g sooag i%LroXr\g iyo- 
\3LSvr\v rrjv s6itsQiav i7tiroXr\v TtoLslraL, sira rr\v sooav 
6v6lv, sira rr\v s6itsQiav 6v6lv, XQVipLv ds ol%sl itXsi- 
ova %q6vov roov iiti rov t,oi6LaKov rsray^iivoov a6rQoov. 

"E6rco oQi^oov o JB, 6 ds roov ^oodioov 6 .Tz/, xai 15 
a6rQ0v (tl) s6roo iitl rrjg dv6soog TtQog ^s6r\^i^Qiccv 

(£s) to E, %al 6vvdvviroo ro5 r, 6vvavarsXXiroo ds rmv 



(|y) 'Asi yccq dcpi6xaiisvov xov rjXCov xov Z, dsi cpuCvsxuL 
dvuxsXXov xb E, scog ov slg xb A cp%u6r\ b rj?uog' xbxs yuQ 
s6%uxcog cpuvev dvuxsiXav ovksxl cpuCvsxui. 20 

(£,d) r '06co yuQ uqpCaxaxat xov A b rjXiog, xo6ovxco nXsov 
cpuCvsxui dvvov xb E scog xov H • sksl yuQ xov rjXCov cpuivofis- 
vov, s6%uxcog cpuCvsxuL dvvov. 

(|f) 'Etcsl yuQ 71Q0XSQ0V uvaxsXXsL xb T xov E 8lu xov & 
xov TtsQL yavovnsvrjg 6cpui'Qug, xov uqu F uvuxeXXovxog xb E sxi 25 
vnb yr\v s6xlv ' 6vvuvuxsXXsl uqu xb E xcov snoiisvcov xlvl xco 
r, olov xco Z, STCSLdrj dvxiuu [isv xu nQog xco V %ui 6 %66[iog 
6XQScpsxuL unb uvuxoXcov S7ii 8v6tv cog U7tb xov Z sni xb r, 
snopsvu ds S6XL xu unb dv6scov sni uvuxoXug unb xov iT sni 
xb Z uu) M. 30 



1) Per diametrum enim est ipsi h, ut positum est. AURIA 
in marg. p. 64. 

2) Nam £ et e astra ortu matutino orinntur. IDEM. Et 
conf. 6%qXlov |y- 

3) Eucl. phaenom. 6. 



DE ORTIBUS ET OCC. II. PROPOS. 16. 153 

occidit, astrum autein £ vespertinum oritur 1 ), astrum 
igitur s etiam vespertinum oritur 2 ). Rursus quia, cum 
sol in ft est, astrum d matutinum oritur, astrum 
autem y matutinum occidit 3 ), astrum igitur s etiam 
matutinum occidit; ergo, cum sol circumferentiam &y 
percurrit, astrum s oriens conspicitur, cum autem cir- 
cumferentiam ^rj, occidens 4 ); ergo, cum circumferen- 
tiam &ri sol percurrit, astrum s et occidens et oriens 
conspicitur. 

. . . Prop. 

XVI. Si quae astra a zodiaco ad partes occiden- 16 
tales intercipiuntur meridiem versus, et ea quae simul 
cum his occidunt ab iis quae simul oriuntur minus 
dimidii signi circumferentia distant, illa post ortum 
matutinum deinceps ortum vespertinum faciunt, tum 
occasum matutinum, deinde occasum vespertinum, at- 
que db occasu vespertino ad ortum matutinum longiore 

temporis spatio occulta erunt 
quam astra quae in zodiaco 
posita sunt. 

Sit horizon a/3, zodiacus 
autem yd, et astrum ali- 
quod ad partes occidenta- 
les meridiem versus 5 ) sit s } 
idque simul cum y occidat, 
~p~~ simul autem cum aliquo 

4) Conf. g%6Xiov |^ et in appendice 72. 

FIGURAM nostra coniectura restituimus; nam in codici- 
bus ACE et apud Auriam in semicirculo yld inter X et 8 po- 
sitae sunt rj ft v. ; at sic circumferentia drj existit maior dimidio 
signo, itaque r\ non est oppositum ipsi £, id quod est contra 
hypothesin e similitudine propositionis 13 emendatam. 

5) Oriens sit rT, occidens y, septentrio or, meridies §. AU- 
RIA in marg. p. 66. 




154 nEPi EnrroA£N kai atse^n b. 

(£s) s%o\isvoov xivl tc5 T. 6vvavatsXXitoo too Z, xa\ r) 
TZ s6too iXdttcov (J]\iC6ovg} ^oodCov %sQLcpsQsCag, xa\ 
too Z s6xoo xata dLa^istQOV tb H, xa\ d%ELXr\yp&oo r)[iC- 
6ovg £<pdCov 7C£QL(pSQSLa r) zl®, xa\ r) KH, xa\ fai r) 
ZM, xa\ r) TA. i%d tov r)XCov i%\ tov M ovtog tb 5 
Z sooov dvatiXXsL, xa\ tb E, %dXLv iitsl tov r)XCov 
i%\ tol> K bvtog tb H e6%sqlov dvvsL, xa\ tb Z s6%s- 
qlov dvaxsXXsL^ xa\ tb E, %dXLV i%s\ tov r)XCov i%\ 
tov ® ovtog tb z/ scoov dvatiXXsL, tov ds /1 dvatsX- 
Xovtog tb T dvvsL, xa\ tb E, tov aQa rjXCov i%\ tov 10 
& ovtog to E sooov dvvsL. %dXLV i%s\ tou r)Xiov i%\ 
tov A ovtog tb T s6%iQL0v Svvel, xa\ tb E, iv ob 

(i£) aQa %qovoo 6 rjXLog tr)v ATM 7tEQLcpiQ£Lav dtsQXStaL, 
tb E xqvi^lv a%£L. xa\ s6tLV r) ATM %XsCoov ^oodCov 
%SQLCpsQsCag' tb aQa E a6tQov %XsCova (j^Qovovy xqv- 15 
ipLv d%£L toov i7t\ tov c^cpdLaxov tstaypiivoov a6tQoov. 

Lt,' . "06a toov a6tQoov a7toXapL^dv£taL v%b tov fco- 
dLaxov xata tag dv6sLg i7t\ td %Qog \k,E6r\ii$QCav, tov- 
tOLg iav ta 6vvdvvovta d%b tcov 6vvavat£XXovtoov 
d%i%r] ^codCov %£QLcpiQELav, ixElva trjg avtrjg vvxtbg 20 
£67tiQLa {tE} dvatiXXEL xa\ scoa 6vvel, xa\ TtXsCova 
XQOvov XQVtpLV d%EL toov i%\ tov t.cpOLaxov t£t ay^ivoov 
a6tQoov. 



(£?) *H neQicpeQeicc ivcc ildaocov [isv fj £adCov, (ieC£cov de 
rjfiCaovg £codi'ov, mg ev xfj %ccx cc6v.evfj noiel. 25 

(|£) 'Enl (iev yd.Q tov A ovxog xov ijXCov, e6%dxcog ecpdvr\ 
dvvov, co6xe ecpe^rjg ov cpccivexca, ecog ov enl x6 M el&r/ b 
rjXiog' xoxe yccQ nQcoxov cpccCvexcu emxeXXov co6xe oxccv xr)v 
ATM xov r{XCov duovxog dcpccveg e6xiv. 

1) Conf. 6%oXiov |f et in appendice 73. 

2) Simul enim e et £ oriri positum est. AURIA in marg. p. 67. 

3) Per diametrum enim est ipsi r\. IDEM (pro r\ per er- 
rorem F } id est £, expressum est). 



DE ORTIBUS ET OCC. II. PROPOS. 17. 155 

eorum quae ipsuui y sequuntur oriatur 1 ). Oriatur si- 
mul cum £, sitque circumferentia y% minor dimidio 
signo. Et ipsi f iuxta diametrum oppositum sit % *et 
auferantur singulae dimidii signi circumferentiae d& 
Kr\ fy yL Quia ; cum sol in ft est, astrum £ matuti- 
num oritur, itemque £ 2 ), porro quia, cum sol in x est, 
astrum rj vespertinum occidit, ac £ vespertinum ori- 
tur 3 ), itemque s, denique quia, 
cum sol in & est, astrum d ma- 
tutinum oritur, oriente autem 
d astrum y occidit 4 ), itemque 
£ 5 ), astrum igitur £, cum sol 
in & est, matutinum occidit. 
Rursus quia, cum sol in X est, 
astrum y vespertinum occidit, 
itemque f, occultum igitur erit 
astrum e eo tempore, quo sol 
circumferentiam Xy\i percurret 6 ). Et est circumferentia 
kyy, maior uno signo; ergo astrum e longiore temporis 
spatio occultum erit quam astra quae in zodiaco po- 
sita sunt. 

Prop. 

XVII. Si quae astra a zodiaco ad partes occiden- 17 
tales intercipiuntur meridiem versus, et ea quae simul 
cum his occidunt ab iis quae simul oriuntur unius 
signi circumferentia distant, illa quidem nocte eadem 
et vespertina oriuntur et matutina occidunt, eademque 
longiore temporis spatio occulta erunt quam astra 
quae in zodiaco posita sunt. 

4) Eucl. phaenom. 6. 

5) Simul enim occidere positum est et y et s astra. AU- 
RIA in marg. p. 67. 

6) Conf. 6%6Uov |j£ et in appendice 74. 




156 nEPI EIIITOA&N KAI AT2E&N B. 

"E6rco oqC^cov 6 AB 7 6 ds rcov ^codCcov 6 TzJ, xai 
aGTQOv xi s%i rijg 6v6scog s6rco %Qog ^is6r]^QCav tb 
E, xai 6vv8vvsrco rcp T' rcov ccqcc s%o\isvcov rivl tcS 
T 6vvavarsXXsL. 6vvavarsXXsrco tg3 Z, xai s6rco rj 
TZ £cpdCov TisQicpsQsia. xai s6rco rco Z xard dicc^is- 
tqov t6 &, xai rsr^r]6d-co r) &A 8C%a xara rb H, xai 
d%SLXr]cp&a) r)[iC6ovg ^cpdCov 
TCSQicpsQSta r) ZA, xai en r) 
(&i) TK. sitsl tov r)XCov s%\ tov 

H ovrog rb z/ scpov dvarsX- / /G?\ 10 

Xsl, scpov aQa dvvst rb F, xai 
rb E. TtdlLV STtsl rov r)XCov s%i 
rov H ovrog s6%sqlov Svvsl /' n 
rb (9, %ov ds & dvvovrog rb 
Z sCitSQLOv dvarsXXsL, xai rb P 15 

E, rijg avrrjg aQa vvxrbg <V6 E a6rQovy scpov rs 
dvvsL xai s67tsQLov dvarsXXsL. %dXLV s%si tov r)XCov 
s%i tov K bvrog rb r s6%sqlov dvvsL, s6%sqlov aQa 
xai rb E dvvst. TtdXtv s%si tol> r)XCov s%i tov A bv- 
rog scpov avarsXXsL rb Z, scpov aQa xai t6 E dvarsX- 20 
Xsl' XQvtyLV aQa d\\sL rb E a6TQ0V sv cp 6 tfXiog rr)v 
KTA TtSQLcpsQScav 8LSQ%sraL. xai s6tlv r) KTA %sql- 
cpsQSLa dvo ^cpdCcov TtXsCova aQa %qovov xqviPlv atjSL 
rb E rcov S7ti toi> £cpdLaxov. 

Lr\ . Toig d%oXa\i^avo^svoLg vitb tov t,codtaxov xard 25 
rdg dv6scg s%i ra %Qog [is6r][i{)QCav sdv rd 6vv8v- 
vovtg: d%b rcov 6vvavarsXXovrcov d%s%r] t,cp8Cov psC- 
c^ova %SQLcpsQSLav, sxslva d%b rrjg scpag s%LroXfjg s%i 




(£,rf) 'Enl yccQ rov H ovxog xov rjUov a^oxsqcc yCvsxcti, 
iav de TtQofirj xov H, ov%ixi. 30 



DE ORTIBUS ET OCC. II. PROPOS. 18. 157 

Sit horizon afi y zodiacus autein yd, et astruru ali- 
quod ad partes occidentales meridieni versus *) sit e, 
idque siniul cum y occidat; ergo siraul cura aliquo 
eorura quae ipsum y sequuntur oritur. Oriatur siraul 
cum £, sitque y% unius signi circumferentia. Et ipsi 
£ iuxta diametrum oppositum sit #, et secetur d& bi- 
fariam in puncto r\, et auferatur diraidii signi circum- 
ferentia £A, itemque yx. Quia, cum sol in r\ est, 
astrum d raatutinum oritur, astrum igitur y matuti- 
num occidit, itemque e 2 ). Rursus quia, cum sol in rj 
est, astrum # vespertinum occidit, occidente autem & 
astrum £ vespertinum oritur 3 ), itemque e, eadem igitur 
nocte astrum e et matutinum occidit et vespertinum 
oritur. Rursus quia, cum sol in x est, astrum y 
vespertinum occidit, astrum igitur e etiam vesperti- 
num occidit 4 ). Rursus quia, cum sol in X est, astrum 
% matutinum oritur, astrum igitur e etiam matutinum 
oritur 5 ); ergo astrum e occultum erit eo tempore, quo 
sol circumferentiam xyX percurrit. Et duorum siguo- 
rum circumferentia est nyX; ergo astrum e lougiore 
temporis spatio occultum erit quam astra quae in zo- 
diaco sunt. 

Prop. 

XVIII. Si quae astra a zodiaco ad partes occiden- 18 
tales intercipiuntur raeridiem versus, et ea quae siraul 
cum his occidunt ab iis quae simul oriuntur plus 
unius signi circumferentia distant, illa ab ortu matu- 



1) Oriens sit 8, occidens y, septentrio a, merid. ^. AURIA 
in marg. p. 68. 

2) Conf. in appendice scholium 75. 

3) Per diametrum sunt. AURIA in marg. p. 68. 

4) Simul enim occidere astra y et s positum est. ID. p.69. 

5) Simul enim oriri astra £ et s positum est. IDEM. 



■I 




158 nEPi EniTOAOT kai atse&n b. 

tr\V £CpUV 8v6LV 7]%£l>, £7t£LtU £7t\ VTjV £6%£Q^UV £%LtoXr]V^ 

slta i%\ tr)v £6ti£qluv 8v6lv, xul tr)g uvtrjg vvxtbg xu\ 
i%LtiXXovtu xu\ dvvovta 0Qu&rj6£tuL u%b trjg iopug 8v- 

6£CJg ^£%QL tijg £6%£Qiug i%LtoXr)g, XQVlpLV t£ U%£L %Xu- 
OVU XQOVOV tOOV £7tl r01> £,Oj8lUXOV t£ZUy\L£VCQV U6tQ03V. 

"E6tQ3 OQL^COV 6 AB, 6 81 
tOJV ^OjSioJV 6 -Tz/, %UL U6tQ0V 

tL i%\ trjg dv6£0jg %Qog ^i£6r]^- 
(Sqluv £6tco tb E, xul 6vv8v- 

vitco t(p r, 6wuvut£XXitoj 8\ \ jl/ fn 10 

rc5 Z, xu\ £6X03 r) TZ \iutpjv 
(£#) t,(pdiov 7t£QL<p£Q£iug, xu\ rco Z 
XUtU 8LU[l£tQOV £6tco r6 H, xu\ 
u%£LXr\(p&oj r)^i6ovg t>(p8iov 

7t£QLCp£Q£LU r) H® , XUL r) K/i , XUL £tL fj ZA, XUL i) 15 

TM. £7t£l tov r)Xiov i%\ tov A ovtog r6 Z iojov 
avutiXXu, xu\ tb E, %uXlv iitsl tov r)Xiov i%\ tov K 
ovtog ro z/ iojov uvutkXXu, ro 8\ xutcc 8Luii£tQOv tb 

r i(pOV 8VV£L, XUL r6 E CCQU £<pOV 8vV£L. %U.XLV £7t£L 
tOV r)li0V £7t\ tOV & OVtOg tO H £6%£QL0V 8vv£l, tov 20 

81 H Svvovtog tb Z i6%£QL0v uvutklXu, xu\ ro E 

UQU £67t£QLOV UVatkXXW tijV K® CCQU %£QL(p£Q£LUV 8lU- 

%OQ£voii£vov tov r)Xiov tb E a6tQov trjg avtrjg vvxtbg 
xa\ uvuzkXXu xu\ 8vv£L. %uXlv h%d tov r)Xiov h%\ 

tOV M OVtOg tO T i6%£QL0V 8VV£L, XUL tO E, £%\ 8h 25 

roi) A iojov uvuthXXu, to6ovtov uqu %qovov xqv^lv 
u%£l tb E u6tQov, £v <p 6 r)XLog tr)v MTA 7t£QL(p£- 

Q£LUV 8LU7tOQ£V£tUL. XUL £6tL {l£i£oJV 8vO ^(pSioOV. 

(!<&•) dr\lov yccg ozi v.al rj HJ fiSL^cov £cpS£ov Igxiv. 

1) Oriens sit d, occidens y, septentr. cc, meridies <5. AURIA 
in marg. p. 70 (nisi quod typotheta B, id est §, omisit). 



DE ORTIBUS ET OCC. II. PROPOS. 18. 159 

tino ad occasuui niatutinuin pervenient ; tum ad ortum 
vespertinum, deinde ad occasum vespertinum, et ab oc- 
casu quidem matutino ad ortum vespertinum eadem nocte 
et orientia et occidentia conspicientur, db occasu autem 
vespertino ad ortum matutinum longiore temporis spatio 
occulta erunt quam quae in zodiaco posita sunt astra. 
Sit horizon «/3 ; zodiacus autem yd, et astrum ali- 
quod ad partes occidentales meridiem versus *) sit e, 
quod simul cum y occidat et simul cum g oriatur, et 
sit y% maior quam unius signi circumferentia, et ipsi 
£ iuxta diametrum oppositum sit rj, et auferantur sin- 
gulae dimidii signi circumferentiae rjd' xd %X yp. Quia ; 
cum sol in A est ; astrum £ matutinum oritur, itemque 
e 2 ), porro quia ; cum sol in x est ; astrum d matuti- 
num oritur, ipsum autem y ei oppositum matutinum 
occidit 3 ), astrum igitur e etiam matutinum occidit. 
Rursus quia ; cum sol in & est ; astrum tj vespertinum 
occidit ; occidente autem rj astrum % vespertinum ori- 
tur 4 ) ; astrum igitur e etiam vespertinum oritur; ergo 
astrum e, cum sol circumferentiam xft percurrit, ea- 
dem nocte et oritur et occidit. Rursus quia ; cum sol 
in p est ; astrum y vespertinum occidit, itemque e, cum 
vero in A est ; astrum % matutinum oritur ; itemque e, 
astrum igitur e eo tempore occultum erit ; quo sol 
circumferentiam \ayX percurret. Et est haec maior 
duobus signis 5 ). 

2) Simul enim oriri astra £ et s positum e3t. AURIA 1. c. 

3) Eucl phaenom. 6. 

4) Sunt enim per diametrum. AURIA 1. c. 

5) Omisit scriptor extremam conclusionem sic fere resti- 
tuendam: xo ccqcc E ccgxqov tcXslovcc %qovov KQVTpiv cc^sl xcov 
ETti xov gcpdiccHov xsxccyiiEvcov ccgxqcov (propos. 6). 



APPENDIX 

AD AUTOLYCI LIBRUM DE SPHAERA 

QUAE MOVETUR. 



Ad VII. propositionem Maurolycus fol. 61 v adno- 
tat: Nam cum circulus fixus [id est liorizori] constet 
semper in eodein loco: et circuli super axe suo ver- 
sati semper in suo singuli plano iaceant: fit ut neque 
periferiae locum aliquando commutent: et perinde se- 
cent fixum in iisdem semper punctis. Inclinatio quo- 
que eorum una est: sequitur eniin inclinationem axis 
communis. 

Inter c scholia antiqua', quae Auria interpretationi 
suae subiunxit, pag. 31 ad septimam propositionem 
tria leguntur litteris H K M notata, ex Graecis no- 
stris Xy As X% expressa. Ac primo quidem scholio 
idem explicatur quod Pappus collect. 6 cap. 38 (p. 520) 
a se ad Autolyci librum demonstratum esse docet his 
verbis: ev&ecog yovv xb £' avzcp &ecoQr][ia 6cot,exai eiti 
xe OQ&rjg xrjg dtcc xcov itbXcov &e6ecog xal eitl xijg Ao$rjg 
7CQog xbv a\ova' edei^a^iev yccQ r){ielg Ttcog dvvaxat 
6c6t,e6&ai hitl xrjg dtcc xcov itolcov &e6ecog xb deco- 
Qrjpa. Secundum Auriae scholium (K) respondet 
Graeco nostro As, cui subiunctum est lemma in nostra 



SCHOLIA IN LIBRUM DE SPHAERA. 



161 



editione X%, apud Auriam M. Figura apud eunderu 
expressa similis est ei quae in Vaticano exstat ad VII 
propositionem altera (conf. p. 23 adnot.), quam nos, 
ut supra p. 28 ad scholiuin Af, ita mox ad scholium 
M exhibebimus. Notas autem geometricas suo arbi- 
trio Auria apposuit, quarum loco has Graecas resti- 
tuemus, alioquin autem Auriae verba ipsa repetemus: 

A = v B = « C = # E = j/ F = tf G = /3 

H = £ L = A M = p N = (? = tt P = k 

Q = | R = g S = v V = o. 

Primum scholium (H) speetat ad alteram partem 
propositionis, quae supra (p. 26, 1) incipit his verbis: 
Asyco drj oxi xal bfioiog el6\ tcstcXl^isvol Ttobg xov 
ABAT oQitpvxa. 

Hucusque demonstratio liaec recte siquidem se habet h 
in Theoremate, retenta propositionis circumscriptione et 
determinatiom, quae horizontem 
ad axem obliquum ponit: verum 
K /? tamen simili quoque modo poterit 
demonstrari, etsi horizon circidus 
ad axem non fuerit obliquus, sed 
per sphaerae polos sit ductus, 
& sicut in sphaera recta manifestum 
est: Si enim circulorum paralle- 
lorum polum contingens punctum, 
veluti J 1 ), acceperimus in horizonte, et per huiusmodi 
punctum, sicuti ante factum est, maximum circulum de- 
scripserimus ; nimirum ostendemus rectam lineam a polo 




1) Pro £ (quod apud Auriam est R) scriptor scholii Xy 
(supra p. 26, 21) posuit 77. 



Autolycus. 



11 



162 



scholia m 




g ad punctum /3 ductam aequalem esse rectae ab eodem 
£ ad punctum s ductae, et in idem absurdum incidemus: 
Hoc autem ex proposftione sexta liuius libri patet 

Sequitur secunduui scholium (K), quod ad Graec* 
verba p. 26, 14 sq. gjGts r) vnb rcov KM® yavia 
nMGig s6tlv cet. pertinet, denique ad eius scholii ex- 
trema verba adscriptum est lemma M. 

k Ex diffinitione sexta TJndecimi Elementorum Euclid. 
Ifioc patet: Plani enim ad planum inclinatio est angidus 
acutus, rectis compraehensus lineis, quae ad rectos an- 
gidos communi planorum sectioni ad unum idemque 
punctum in unoquoque plano ductae sunt: Est autem 
recta linea %^i in plano circuli a($ ad angulos rectos 
communi planorum sectioni, scilicet ipsi a/3, et recta &ti 
est etiam in plano circuli r]ci&(5 ad rectos angulos ipsi 
communi planorum sectioni a/3 ; et faciunt acutum an- 
gulum sub x^ contentum. 

m Quod autem angulus 
sub K{id' contentus sit an- 
gulus acutus, lioc modo pa- 
tebit. Describatur maximus 
parallelorum, qui sit Iqo, 
et reliqua, ut patet in fi- 
gura, describantur. Erit 
iam £q x ) maximi circuli 
quadrans: nam ex polo £ 

1) Punctum £, quod deest in figura codicis Vaticani, in C 
et Paris. 2472 eodem fere loco positum est quo exstat in priore 
figura (p. 161). Ceterum £q quadrans, quae dicitur, tetccqtthio- 
qlov est circumferentia, id quod patet ex scholio %£ p. 28,9: 
TETdQTr}[ioQLov egtui r ZP (nam sic legendum esse videtur pro 
6 ZP). 



// "V 

cr/ 1 


& \y? 






* L 


<r j 


3 K. \ / 




\ ^A 


v L 


«^v^. \ / 


^^o 


\. *\ 





LIBRUM DE SPHAERA. 163 

circuli %qo ducta est 1 ): Maior igitur est quadrante rjQ 2 ) : 
sed r]& semicirculi r]Q& diametrus est: quare q& 3 ) qua- 
drante minor est: Maior igitur est rjo ipsa q& circum- 
ferentia: consistit autem angulus y\6q in circumferentia 
t]q: et angulus q6& in circumferentia q&: et est punc- 
tum 6 omnium maximornm circulorum centrum: Quare 
angulus sub r\<5Q contentus maior est angulo sub q6& 
compraehenso : sunt autem anguli t]6q et q6& duobus 
rectis aequales 4 ). Angidus igitur q6& est angulus acu- 
tus: Quare anguli %{i& et Ivft sub lineis xp et Xv par- 
allelis contenti anguli acuti sunt; Tres itaque k^ qg& 
Av# angidi aequales inter se sunt. 



1) Ad marginem adnotata est propositio f 16. Theodosii 
primi sphaericorum'. Quod ducta est Auria scripsit, rectam 
£q intellexit, quae circumferentiam £q subtendat. 

2) Ante tjq suppleas casum nominativum arcus. 

3) Rursus arcus q& intellegitur. 

4) Ad marginem adnotata est propositio f 13. Euclidis 1. 
Elem.' 



11* 



APPENDIX 
AD AUTOLYCI DE ORTIBUS ET OCOASIBUS 

L I B R S. 



SCHOLIA VATICANA 

IOSEPHO AURIA INTERPRETE l ). 



IN LIBRUM PRIMUM. 

In definitiones pag. 49] Poetae ortum niatuti- 
num verum vocant ortum cosmicum: occasum matu- 
tinum verum appellant occasum cosmicum. Ortum 
autem vespertinum verum dicunt ortum chronicum: 
occasum vespertinum verum nominant occasum chro- 
nicum. Praeterea ortum matutinum apparentem no- 
minant poetae ortum heliacum: occasum matutinum 



1) Haec scholia in Auriae editione definitiones et singulas 
propositiones sequuntur. Ubi ad unum theorema plura scholia 
adscripta sunt, singula primum, secundum cet. numerantur ac 
praeterea litteris A , B cet. distinguuntur. Nos continuos nu- 
meros 1, 2 cet. apposuimus. Auriae contextum accurate repe- 
tivimus, nisi quod illius interpunctionem admodum impeditam 
passim emendavimus et pro litteris maiusculis, quibus ille 
omnes fere artis terminos, ut Verus, Apparens, Ortus, Occasus, 
Cosmicus, Sol cet. distinguit, minusculas posuimus, denique 
Graecas litteras geometricas pro Latinis, quae sunt apud 
Auriam , restituimus. 



SCHOLIA IN LIBRUM I DE ORT. ET OCC. 165 

apparenteni dicunt occasum heliacum. Ortum denique 
vespertinum apparentem appellant ortum heliacum: 
occasum yespertinum apparentem dicunt occasum he- 
liacum *). 

in propositionem i pag. 50,6] Hic auctor ostendit 2 
ortum et occasum heliacum posteriorem esse ortu et 
occasu cosmico: praeterea ortum et occasum heliacum, 
qui ortus et occasus vespertinus apparens nominatur ab 
astronomis, priorem esse dicit ortu et occasu chronico. 

pag. 50, 19 : Tov {lev ovv r\kCov dvaxilkovxog xaxd 3 
xo A, xo z/ aGxoov ov cpaCvsxav dvaxeXXov] Quoniam 
vero antecedentia puncta, quaecunque in circumferentia 
yt,a acceperimus, prius oriuntur, et qaoniam sol ante- 
cedit et ante punctum a, scilicet ante punctum d f 
oritur (nam punctum d cum puncto a simul oritur), 
semper igitur sol ante punctum d oritur: quare d 
punctum oriri nullo modo conspicitur. 

PAG. 56, 5: "Eoxa xa avxd' A.eya oxc ovds xr\v 4 
rZA 7t£QL(p£QSiav cet.] Quo enim tempore sol circum- 
ferentiam yt,a perambulat, nequaquam d punctum ori- 
tur, quoniam neque punctum a oritur, omnia siqui- 
dem puncta, quae sunt in circumferentia yt,a y ante 



1) Sequuntur apud Auriam haec: De hoc vero ortu et oc- 
casu astrorum inerrantium, videlicet cosmico, chronico et heliaco, 
quantum ad poetas attinet, legas licebit Io. de Sacro Bosco ca- 
put tertium de Sphaera, et in illud commentaria. Ptolemaeum 
auoque lib. vm. capit. iiii. rfy? (isyaXrjs 6vvzd&8cog videre licebit, 
qui in universum viginti quattuor commemorat axrjaari6^ovg, 
id est aspectus astrorum inerrantium ad solem. Quae cum ab 
ipso Auria composita esse appareat, etiam prior scholii pars, 
quae supra legitur, incertum est utrum e Graeco aliquo codice 
conversa, an ab ipso interprete adiecta sit. — De discernendis 
ortibus heliaco, cosmico, achronico (sic) pauca commemorat 
Rud. Wolf, Geschichte der Astronomie, p. 114 sq. 



166 SCHOLIA IN LIBRUM I 

punctum a oriuntur, veluti quae antegrediantur: haec 
autern sol percurrit. 

5 IN PROPOSITIONEM II PAG. 58, 1: e0XCO dr) XOV J 
cc6xqov r; cpaivo\Levr\ ecpa ejttxolr) xov r\Hov ovxog 
7toog xcp E] Scilicet sit astri d primus ortus apparens 
sole in s puncto manente, ut ; cum sol in e punctum 
pervenerit, tunc primo appareat d astri ortus ma- 
tutinus apparens: nam sole nondum ad punctum e 
accedente, verum adhuc etiam in circumferentia ae 
existente ; non praeveniet d astri ortus matutinus 
apparens. 

6 pag. 58,8: xov [tev ovv r\kCov diaitoQevo^evov xag 
AE Hr TteQicpeQeCag ov cpaivexai xo A o.6xqov eiti- 
xekkov] Quoniam sol circumferentiam ae perambulans 
et in e punctum perveniens, tunc astro d fit primo 
ortus matutinus apparens: sole igitur circumferentiam 
ae percurrente et non adhuc ad punctum e perveniente, 
non fit astro d ortus matutinus apparens: quare sole 
circumferentiam ae transeunte, astrum a non conspi- 
citur oriri: similiter autem sole circumferentiam yr\ 
percurrente, astrum 6 non videtur oriri. 

7 in propositionem iv PAG. 62, 19: xal e6xai x6 
pev AET r){itxvxfoov viteQ yr\v xo de ATZ, vith yrjv] 
Quoniam et in parallelis circulis, quos puncta descri- 
bunt ; tunc a oriens occidit, et astrum y occidens ori- 
tur ; et quo tempore utrumque astrorum propriam cir- 
cumferentiam deambulat, zodiacus contra positionem 
habebit ; et qui est semicirculus sub terram ; erit supra 
terram. 

8 pag. 64 ; 2: eOxco ovv xov A a6XQ0v r) cpaivo^evr\ 
ecoa dv6ig xov r\liov cvxog TtQog xcp Z] Sed explana- 




• DE ORTIBUS ET OCCASIBUS. 167 

tionis gratia sit 7 ut occidente a in puncto # astrum 
y oriatur in puncto %, et zodiacus circulus positionem 
habeat %&v\ apparebit iam semicirculus aey, sicuti 

&v%, supra terram, et cir- 
cumferentia ae erit sicuti cir- 
^ cumferentia ftv\ reliqua vero 
etiam, ut reliqua, sub terram 
iderit: et proinde occidente a 
in puncto # et oriente y in 
J/c puncto % et sole perveniente 
ad punctum y, id est ad 
punctum k, et punctum qui- 
dem y fiet ad punctum %\ atque erit astri % occasus 
matutinus verus, scilicet astri a erit occasus matuti- 
nus verus. Perveniat siquidem astrum a ad punctum 
e\ erit igitur ipsius &, id est astri a, occasus matuti- 
nus apparens sole existente in puncto [i, id est in 
puncto £ (circumferentia enim fix est eadem atque yQ: 
quare sole in puncto £ existente astri a est occasus 
matutinus apparens. 

PAG. 64, 8: xal diaTtoQevetai 6 ^'Atog ro ETZ, r][ii- 9 
kvtcXlov ev y\\jbi6ei eviavtov\ Deambulante sole cir- 
cumferentiam ey% fit ipsius a astri et matutinus ortus 
apparens et matutinus occasus apparens: quare dimidii 
anni spatio fit. 

PAG. 66, 14: tov F aga dvatellovtog tb B vtuq 10 
yfjv eativ] Quoniam vero occidente astro a et astrum 
/3 est supra terram: verum occidente astro a et 
astrum y oritur: quare astro y oriente et /3 astrum 
est supra terram *). 

1) In niargine citat Auria c 6. Euclid. Phaenoni.' 



168 SCHOLIA IN LIBRUM I 

11 PAG. 66, 17: e6xo xb M] Videlicet xb ocpelkov 
astrum oriatur astro /3 occidente, et erit in circumfe- 
rentia &&, quae quidem est sub terram, quoniam 
astrum /3 est supra terram: quare, quando /3 astrum 
occidit, et astrum {i scilicet oritur. 

12 PAG. 68,1: l6r\ aoa i6xlv rj ®N xfj OM] Quoniam 
aequali tempore supponitur astra solis radios effugere. 
(Vide scholium positum in margine in quartam huius. 1 ) 

13 pag. 68, 6: dicc itXeiovoq rj^ii6ovg iviavxov] Sole 
etenim circumferentiam vxo deambulante astrum /3 
ab ortu matutino apparente occasum matutinum ap- 
parentem facit, et quoniam dimidio semicirculo maior 
est, ideo maiori tempore dimidio anno astrum /3 id 
facit- 

11 PAG. 10,6: rj &KO aoa ika66ov e6xlv 7}[iixvxMov] 
Demonstratur autem, etsi solis intercapedinem feceri- 
mus eam quae est inter vx circumferentiani, scilicet 
quae est a puncto v usque ad punctum %, demon- 
stratur inquam, quod circumferentia |%o omnino mi- 
nor est semicirculo, addita etiam communi circum- 
ferentia va. 

15 in propositionem vi pag. 12,26] Itaque sex men- 
sibus semper fere astra apparebunt, sex autem men- 
sibus contra occultabuntur 2 ). 

16 pag. 14:, 18 : 0* olav 7teQicpoQ(nv xal xexdoxov] 
Nam annus 365 diebus astronomicis, id est rorg 
vv%&r}[ieQOLs 3 ), et quarta insuper diei parte, id est 



1) In nostra editione p. 65 adnot. 3. 

2) Accuratius haec ab ipso Autolyco libri 2 propositione 6 
pertractantur. 

3) vv%fhi{ieQqig expressum est apud Auriam. 



DE ORTIBUS ET OCCASIBUS. 169 

horis sex, constat. Quarta igitur pars deficiens est 
differentia, qua astrum cum ipso sole non simul oria- 
tur. (Vide quae sunt annotata in Kb. Theodosii de 
habitationibus, in prop. X; huc enim spectare vi- 
dentur.) 

IN PROPOSITIONEM VII PAG. 16, 10: El {ISV OVV 6 17 
rjfoog vrjv AET itsQLcpsQSLav dLEQ%stccL sv oXcug r)^is- 
QCCLg, drjXov eog dvCstm xccrcc to JP] Non deambulat 
autem, quoniam, si in 365 tantum revolutionibus an- 
num percurrit sol, et dimidium circulum zodiacum in 
dimidio anno perambulans omnino occidet in y puncto: 
sed quoniam totum zodiacum circulum non percurrit 
in 365 revolutionibus tantum, nisi quarta etiam parte 
unius revolutionis addita, patet ; quod ante y punctum 
alio in loco occidet: nam 365 revolutionum pars di- 
midia cum quarta insuper parte revolutionis alio in 
loco quam in puncto y cadat necesse est. (Vide scho- 
lium primum positum in X proposit. lib. Theodosii 
de habitationibus.) 

in propositionem vin pag. 76, 22] Pro vesper- 18 
tina postrema apparitione auctor intelligit occasum 
vespertinum apparentem, pro matutina prima appari- 
tione vero matutinum ortum apparentem x ). Ergo ab 
occasu vespertino apparente ortum matutinum appa- 
rentem faciunt astra, quaecunque sunt in circulo zo- 



1) At vero Graecus scriptor l6%u.tr\v cpdcGLv sGrtSQiav in- 
tellexisse videtur vespertinum apparentem et occasum et or- 
tum, atque item 7tQ(oxr\v cpccGiv saav matutinum apparentem 
et ortum et occasum. Nam libri secundi propositione 6 
idem demonstrat tam ab occasu vespertino apparente ad ortum 
matutinum quam ab ortu vespertino ad occasum matutinum 
singula zodiaci astra per XXX dies latere. 



diaco, cum aliquot dies et aliquot noctes occulta per- 
manserint. (Lege X proposit. huius.) 

19 pag. 78, 5: Ttccl xo E aCxQov e6%ax<x>s pev TteQi- 
TcaxaXaiifiaveG&a cet.] Videlicet ; postquam sol occidit ; 
ipso quidem in £ puncto manente, postremo astrum e 
appareat occidere, et rursus ; antequam oriatur sol ; 
ipso quidem in rj puncto manente, primo videatur 
oriri. Sole enim nequaquam occupante ipsum astruru ; 
verum quindecim gradibus ab eo distante ; postquam 
occidit ; postremo astrum apparet: adhuc enim etiam 
ipsum occupante sole ; lateat necesse est: quin etiam 
sole ; motu mundo contrario progrediente, non apparet 
astrum: rursus sole ab ortu plane remoto ; primo 
astrum e apparet ; antequam ipse sol exoriatur. Recte 
igitur primum erit postremus ortus *) vespertinus ap- 
parens ; deinde priinus ortus matutinus, quoniam ; ut 
se habet in propositione, a vespertino facit matutinum. 

20 IN PROPOSITIONEM ix pag. 82 ; 12: xal xo Z aaxQOv 
e6%dxog {iev 7teQixaxakaiifiave<5&G} cet.] Videlicet astrum 
£ faciat postremum ortum 2 ) vespertinum sole manente 
in puncto &, et deinde faciat primum ortum matuti- 
num sole in puncto % existente 3 ). 

21 pag. 82 ; 17: xal eTtel xa Z H adxQa 6{iov dvvet 
cet.] Si etenim per puncta x\ et £ circulos parallelos 



1) Legendum esse occasus docet proxima adnotatio. 

2) Immo occasum, id quod ipsum etiam Auriam voluisse 
apparet collata p. 22 media, ubi ad Latina, quae respondent 
Graecis rb Z aargov io%arcog (isv n£Qi%ara'kaii$av&6%'to cet., in 
margine citat definitionem 8 (nobis nonam), quae est de oc- 
casu vespertino apparente. Accedit illa definitio, quam idem 
supra in scholio 18 proposuit. 

3) Praeterea in parenthesi citat Auria f scholium 1. in 8. 
huius' (nobis scholium 18), et in margine r 10. prop. huius'. 



DE ORTLBUS ET OCCASIBUS. 171 

descriptos intellexerirnus, erunt nimirum circumferen- 
tiae circulorum per £ et r\ puncta transeuntiurn, inter 
semicirculos non concurrentes interceptae, similes inter 
se 1 ), et hanc ob caussam eodem tempore astra £ et 
r\ occidunt, similes namque circumferentias tempore 
aequali praetereunt 2 ). 

PAG. 84, 1: tb H a6tQ0v ovitcog ixcpsvyst tccg tov 22 
r\XCov avydg] Siquidem enim astrum £ solis radios ef- 
fugit, et quoniam astrum r\ retro est ipsi astro £, 
patet, quod non longe aberit, quin solis radios effu- 
giat: post igitur aliquot dies solis radios effugiet. 
Quare fit, ut maiori quidem tempore quam astrum £ 
maneat occultum. 

IN PROPOSITIONEM X PAG. 84,19 — 86, 1 : tOVti^ttv 23 
%v r) tov [isv H r) s<pa cpaivo{iivr\ iiatolr]] Sole si- 
quidem a puncto /3, id est ab occasu, iter faciente, 
quandoquidem fecit ipsius astri r\ matutinum ortum 
verum in mundi circumvolutione; distante tamen gra- 
dibus quindecim a puncto y sub terrani, tunc primo 
astrum r\ oriri apparebit: quare astri r\ erit ortus 
matutinus apparens. 

PAG. 86, 1: tov ds ® r) sGitsoCa cpaivo\iivr\ dv6ig] 24 
Quo autem tempore sol ad ipsum astrum # venit, 
simul cum eo occidit: quare erit astri # occasus vesper- 
tinus verus: antequam igitur ad ipsum # accedat sol, 
distans autem ab eo gradibus quindecim sub terram, motu 
ipsius mundi postremo astrum -fr occidere apparebit- 

pag. 88, 2: s6tai aqa tov H aatoov r) sGitsoia 25 
cpaivo{iivr\ imtolr\ cet.] Quoniam autem astra, quae 

1) f 13. Theod. 2 Sphaericorum' in margine citat Auria. 

2) f 2. Autolyci de Sphaera, quae movetur' idem. 



172 SCHOLIA IN LIBRUM I 

sunt in circulo zodiaco per diainetrum posita, con 
iugate et oriuntur et occidunt *), astro igitur r\ oriente 
et astruni X occidit: et sole quideni manente in puncto 
A astri r\ est occasus vespertinus verus: sed priores 
sunt apparentes veris 2 ); sole igitur in puncto v exi- 
stente (praeit namque astrum v ipsum A) erit astri 
r\ postremus 3 ) ortus vespertinus apparens. 

26 pag. 88, 11: i6xai aoa tov r\XCov ovtog Ttoog tcp 
8 tov ® a6toov r) icpa cpaivo\ibvr\ §v6ig\ Rursus, per 
eandem 6. Euclid. phaenorn., quoniam astra, quae sunt 
in circulo zodiaco per diametrum, coniugate et oriun- 
tur et occidunt, igitur astro # occidente et astrum \l 
oritur: atque sole in \i puncto manente erit astri # 
occasus matutinus verus: posteriores namque sunt 
apparentes veris: sole igitur in puncto | existente erit 
astri & primus 4 ) occasus matutinus apparens: poste- 
rius namque est astrum | ipso n astro. 

27 pag. 90,2: tb ds H tcp K 6vvavatsXXsC\ Quoniam 
circumferentiae, quas percurrit sol, cum inter semi- 
circulos existant non concurrentes, erunt similes per 
13. Theod. 2. sphaer., quas quidem (per 2. Autolyei 
de sphaera quae movetur) aequali tempore sol per- 
currit. 

28 pag. 90, 20: *T%OKSi6ftco yao i6r\v slvai trjv BH 
tfj r@\ Quoniam circulus zodiacus sv tcp vv%&r\iLSQcp b ) 
omnem positionem potest hahere, haheat hanc ita, ut 




1) Eucl. phaenom. 6 citat Auria in marg. 

2) Propos. I huius, et quidem quartam eius partem (in 
nostra editione p. 54, 18) citat idem. 

3) Hoc adiectivum abundare docet definitio 8. 

4) Conf. adnot. 3. Huc pertinet definitio 7. 

5) sv tco vvx&rjiisQto Auria. 



DE ORTIBUS ET OCCASIBUS. 173 

punctum £ sit in bipartita sectione segnienti /3£y, 
puncta autem /3 et y sint in horizonte: quando autem 
punctum % propius accedit ad liorizontem vel versus 
punctum /3 vel ipsum y, non amplius habet eandem 
positionem zodiacus: et erit circumferentia rjf} aequa- 
lis ipsi fty. 

PAG. 92, 1: &6xs xal 4 TN xfj BH l'6rj faxfo] 29 
Quoniam r^il semicirculi circumferentia est, et &X[i 
etiam semicirculi circumferentia est, aequalis igitur 
est ipsa r^il ipsi ftlyb circumferentiae : communis aufe- 
ratur circumferentia pX: et reliqua igitur rj^i reliquae 
&X aequalis est: ostensum autem est circumferentiam 
r}($ aequalem esse ipsi fty 1 ): et reliqua igitur /3jt ipsi 
yk aequalis est: et quoniam, ut patet in propositione, 
circumferentiae gft et vl invicem sunt aequales, quare 
et circumferentia /3| ipsi yv aequalis etiam erit. 

PAG. 92, 3: xag ds {isi&vg TCSQicpsQsiag ansyovxog 30 
xov r\Uov cet.] Maiores scilicet dimidio signo, id est 
quae sint maiores quindecim gradibus: nam supposi- 
tum est, sole sub horizonte manente et quindecim 
gradibus ab horizonte sub terram distante, astra ap- 
paritionem facere: sole igitur sub terram plus quam 
quindecim gradibus ab horizonte distante, multo ma- 
gis astra apparebunt: si igitur, sole distante ab hori- 
zonte sub terram intervallo circumferentiarum r\l et 
£#, astra apparent, multo magis supra horizontem 
apparebunt ipsa astra sole maioribus circumferentiis, 
quam sunt ipsae rj£ et £#, distante sub terram ab 
horizonte. 



1) In schol. 6 praecedenti. AURIA in marg., id est schol. 
28 nostrae editionis. jg 



174 SCHOLIA IN LIBRUM I 

31 pag. 92,6: oj6t£ xov r)XCov — 8ta7ioQ£vo{i£vov ttjv 
NM& 7t£QL<p£Q£iav cet.] Si enira, dearubulante sole 
circumferentiam yv et /3| sub terram ; astra apparent ; 
percurrente igitur circumferentiam vpt, sub terram 
plus ab horizonte distantem ; tanto magis astra ap- 
parent. 

32 pag. 92, 14: r) aQa NM& dvo tydCav £6tC] Et 
quoniam <0-/fyi semicirculi circumferentia est, et r\^X 
etiam semicirculi circumferentia est, aequales igitur 
inter se sunt dictae iam semicirculi circumferentiae. 
Auferatur autem circumferentia rj[i, quae utrique cir- 
cumferentiae communis est: igitur et reliqua circum- 
ferentia rj& reliquae pX circumferentiae est aequalis. 
Continet autem rj& unum integrum zodiaci signum: 
quare et ipsa fiA circumferentia unum etiam signum 
integrum zodiaci circuli continebit. Et quoniam |ft 
et vX ipsis rj£ et ftt, sunt positae aequales, et conti- 
nent ipsae simul %{i et vX unum integrum zodiaci 
signum, quare tota circumferentia v\&, duo signa zo- 
diaci continebit. Reliqua ex se patent. 

33 IN PROPOSITIONEM XI PAG. 94, 6: Ov$£V TOJV £%\ 
rov tcov ^ojdccav kvxXov cc6tqcov 6cp&r\6£Tai cp£Q6{i£vov 
6'Xov to cpav£Qov r)yu6cpaCQiov] Videlicet in una nocte 
nullum astrum videbitur et oriri et occidere, scilicet 
vel facere vespertinum ortum vel matutinum occasum: 
quod autem interdum videatur in una nocte facere et 
ortum matutinum et occasum vespertinum, lege 2. 
propositionem 2. huius. 

34 pag. 96, 16: nal yccQ £v8d%£TaC Tiva kvxXov yQa- 
cpr\vai cbs tov TH cet.] Sole etenim sub terram exi- 
stente, et manente sub terram etiam circumferentia, 



DE ORTIBUS ET OCCASIBUS. 175 

quae maior sit ipsa ds, et altera quae minor sit ipsa 
yrj circuinferentia: quo itaque tempore mundus cir- 
cumagit ipsam circumferentiam ds sub terram manen- 
tem, ipsa yrj apparet deferri, veluti quae tempore 
minori circumferatur supra terram: antequam igitur 
sol exoriatur, hemisphaerium apparens transit. 

IN PROPOSITIONEM XII PAG. 98, 18: "EOtCQ yc(Q tcp 35 
/1 a6tQcp r) aXrj&ivr) scpa dv6ig tov r\liov ovtog 7tQog 
tcp E] Etenim occidente a zodiacus circulus contra- 
positionem habebit, et semicirculus asy est supra ter- 
ram. Quoniam vero astrum d prius occidit quam 
astruma 1 ), igitur astro d occidente et astrum simul 
oriens, scilicet £, cum ipso d occidente erit in semi- 
circulo supra terram, scilicet in semicirculo asy: quare 
sole existente in puncto £, astri d est occasus matu- 
tinus verus. 

IN PROPOSITIONEM XIII PAG. 102, 20: tcp B CCQa 36 
a<5tQcp r) aito scpag aXrj&ivrjg smtoXrjg scpa aAri&cvr) 
dv6ig yiyvstai dca itXsiovog %qovov r]^ii6ovg sviavtov] 
Occidente siquidem astro a circulus zodiacus contra- 
positionem habebit, et semicirculus at,y erit sub ter- 
ram. Quoniam autem astrum /3 posterius occidit quam 
astrum a 1 ), igitur astrum simul oriens, videlicet 5? 
occidente astro /3 erit in semicirculo sub terram, sci- 
licet in semicirculo at,y: sole igitur in % puncto exi- 
stente, astri /3 est occasus matutinus verus. Quare 
sole circumferentiam ay£ percurrente astri /3 est oc- 
casus matutinus verus ab ortu matutino vero: et tem- 
pus, quo sol circumferentiam ay% pertransit, maius est 
dimidio anno. 

1) 9. Autolyci de Sphaera quae movetur. AURIA in marg. 



176 SCHOLIA IN LIBRUM II 

IN LIBRUM SECUNDUM. 

37 IN PROPOSITIONEM I PAG. 106 7 18: Tov £<pdiaxov 
sv dcodsKarrj^ioQiOv] Dodecatiinoriuni vocat auctor duo- 
decimam partem in totius mundi circumferentia, a 
quocunque libuerit zodiaci puncto acceptam 1 ). 

38 Duodecimam partem non intelligit, veluti verbi 
gratia zodiaci circuli divisio si fiat in duodecim signa, 
ut sit pars duodecima, aut aries aut taurus aut ge- 
mini etc. Sed dcadsxatrj^ioQLOv dicit, si divisa fuerit 
mundi tota circuniferentia, in qua situs est et zodia- 
cus circulus, in partes duodecim, licebit unam harum 
partium accipere ; a quocunque volueris puncto zodiaci 
circuli ; quam partem dadsxarrjtioQLOv dicit. 

39 IN PROPOSITIONEM V PAG. 114, 10: rr)v $OQSLOV 
%a\vr\v] Zona borealis vocatur intervallum, quod est 
ab aequinoctiali circulo quadrans, ad polum borealem 
usque interceptum 2 ). 

40 IN PROPOSITIONEM I PAG. 108,13: r)^LL6ovg ds l<p- 
dCov sGtlv r) ZzJ TtsQLCpsosLa] Quoniam supponitur to- 
tam circumferentiam esse dojdsKatr^ioQLOv: et dividi- 
tur tota ds in duas partes aequales in puncto J: 
quare erit £d grad. XV. 

41 pag. 108, 17: ovds r) ZE ava%slXov6a oQaxaL] 
Quoniam autem sole manente in puncto % tantum 
astrum d conspicitur, et circumferentia gd non appa- 




1) Ex scholio antiquo. AURIA in marg. p. 37; f Diffinitio 
prima' idem superscripsit huic scholio, cuius explicandi causa 
apud illum sequitur alterum scholium, in hac editione 38. 

2) Ex scholio antiquo. AURIA in marg. p. 38; f Diffinitio 
secunda' huic scholio superscripsit idem. 



DE ORTIBUS ET OCCASIBUS. 177 

ret oriri, tauto roagis neque ipsa %e apparebit noctu 
oriri, quoniam tota sub terram est. 

PAG. 108,19: olr\ r) EA TteQupeQeia cet.] Quoniani 42 
sole manente in puncto g astruni e occidere videtur: 
sol etenim ante ipsum occidit: quare et e£ circumfe- 
rentia non videtur occidere, quoniam tantum punctum 
e videtur occidere: nequaquam igitur tota ed occidere 
conspieitur, cum tota sit sub terram. 

PAG. 108, 21 : ovde {irjv r) %atd did^ietQov avtrj r) 43 
TH] Quoniam punctum y antegreditur ipsum 17, et 
prius occidit quam ipsum r\: quare et tota r\y circum- 
ferentia occidere non conspicitur: solummodo enim 
punctum y occidere videtur. 

PAG. 110, 2: ovde [ir)v r) nata did^ietQov cet.] Et- 44 
enim occidente circumferentia ed et puncto e viso oc- 
cidere, et ipsi per diametrum positum punctum rj 
apparebit oriri 1 ). cum autem punctum y antegrediatur 
et supra terram sit, necessario tota yr\ circumferentia 
supra terram conspicietur; quare et tota oriri videbitur. 

IN PROPOSITIONEM II pag. 110, 16: 1] de E& r)iie- 45 
Qag dvateXXovaa ov% OQatai] Propterea quod sol supra 
terram existens facit, ut ipsa circumferentia e& minime 
appareat: prius enim quam ipsa oritur. 

PAG. 110, 19: r) de E® 7teQi<piQeia — yaivetai dv- 46 
vovtia] Etenim sole antegrediente ipsam e& circum- 
ferentiam et propterea prius occidente, quando punc- 
tum e occidit, tota circumferentia £-9- apparet occidere, 
quoniam quidem punctum <fr est supra terram, veluti 
illud quod solem consequatur: quare tota e& distat a 
sole supra dimidium zodiaci circuli manens. 
1) Eucl. phaeuom. 6 citat Auria in marg. p. 40. 

Autolycus. 12 



178 SCHOLIA IN LIBKUM II 

47 IN PROPOSITIONEM IV PAG. 114, 5: HCil S6tC0 S7tl 

tov JT to7tov\ Ita ut circumferentia tctj 1 ) sit diinidiura 
signum: quoniam ipsa tota &rj sex signa comprehen- 
dit, veluti quae semicirculi circumferentia sit. 

48 pag. 114, 7: aitb ds tov H r)^ii6ovg lcodtov tisql- 
(pSQSiav] Scilicet moveatur sol a puncto rj, per dimidii 
signi circumferentiam distans, usque ad punctum %. 

49 pag. 114, 8: tcc M ® N ccGtoa utzo scoccg avato- 
Arjg stiitSQiav dvatoXrjv itoisltai\ Quoniam est suppo- 
situm astra ft et v simul cum puncto %• oriri, atque 
ostensum est quidem de astris ft et v, et simul etiam 
demonstratum est de astro #, quod est in zodiaco 
circulo, etsi de ho c in propositione nulla sit mentio 

50 IN PROPOSITIONEM v pag. 114, 11: tdg ts dvato- 
Xag Tcal tdg dvtisig s67tsQiag ts xal scoag] Hic intelli- 
git de ortu et occasu apparente: nam in sexta pro- 
positione primi libri de veris ostendit, qui quasi per 
anni spatium perficiuntur. 

51 PAG. 116,9: Tcal tovto alsl stitai, scog dv 6 rjXiog 
— ayUr\tai snl tb N] Semper enim deinceps deam- 
bulante sole de nocte, astrum % semper prius oritur, 
veluti antegrediens: simul autem cum ipso oritur 
astrum ft: hoc autem semper sic erit, quoad sol quin- 
que mensium spatio fecerit ortum vespertinum 2 ) : nam 
deinceps deambulando facit alias cpd6scg, scilicet ma- 
tutinum occasum et vespertinum occasum, donec per- 
veniens ad punctum v denuo faciet sol ortum matu- 
tinum. 



1) Apud Auriani HG expressum est pro TG, quocl respon- 
det Graecae notationi itr\. 

2) f ut in 4. huius 2. lib. patet'. AURIA in marg. p. 46. 



DE ORTIBUS ET OCCASIBUS. 179 

PAG. 116,20: rot> aQa rjXiov sitl xov O ysvopsvov 52 
cet.] Quoniain per sextam Euclidis Phaenom. astra, 
quae in circulo zodiaco per diametrum sunt, coniugate 
et oriuntur et occidunt: astro igitur |, cum per dia- 
metrum sit ipsi v 7 et J oriatur, necessario et ipsum v 
occidet: quare cum astrum £ matutino ortu oriatur 
sole manente in puncto o, et astrum v contra matu- 
tino occasu occidet. 

IN PKOPOSITIONEM VI PAG. 120, 21: XO A atiTQOV 53 

sansQiav siutoXrjv Ttoislrcu] Etenim sole in puncto % 
existente astri y est occasus vespertinus: sed occi- 
dente y 1 ) astro et astrum S oritur per sextam Eucli- 
dis phaenom.: sole igitur in g puncto manente astri 
d est ortus vespertinus. 

PAG. 120, 25: xcd (pavsQov oti tvsvts t,cpdia dia 5-4 
TtsvTa^Tjvov disQ%sTai\ Est enim circumferentia dy zo- 
diaci semicirculus et sex signa continet: cum autem 
circumferentiae ds et y^ unum signum zodiaci com- 
praehendant, reliqua igitur circumferentia s% quinque 
continebit signa, quae quidem spatio mensium quin- 
que percurrit astrum 8. 

PAG. 122, 3: ty}V sooav dv6iv itoisl T<p /1 ccGtqgo 55 
cet.] Etenim existente sole in rj puncto, in mundi re- 
volutione astri y est ortus matutinus: sed puncto y 
oriente et astrum 6 occidit 2 ): quare sole in r\ puncto 
manente astri d est occasus matutinus, et neque oriri 
neque occidere videtur astrum d toto eo tempore quo 
sol circumferentiam fyrj percurrit, scilicet per triginta 

1) G, id est rj, expressum est apud Auriam; veram scrip- 
turam praebet Graecum scholium *f. 

2) Eucl. phaenom. 6 citat Auria in marg. p. 48. 

12* 



180 SCHOLIA IN LIBRUM II 

dies, quoniam sole progrediente a puncto g et punc- 
tum quideni y non amplius distaverit ab ipso £ quin- 
decim gradibus: igitur neque apparebit facere vesper- 
tinum occasum: quare et neque astrum d, quod ipsi 
y est per diametrum posituin, ortum vespertinum fa- 
cere videbitur. Rursus autem sole ante punctum r\ 
manente et neque astrum y distaverit quindecim par- 
tibus ab ipso puncto r\: igitur neque apparet ortum 
matutinum facere: quare neque astrum d, per diame- 
trum ipsi manens, occasum matutinum facere videbitur. 

56 pag. 122,5: rr)v stiTtsQCav dv6iv itoisl tco z/ a6tQco 
cet.] Sole etenim in puncto fr manente: et in mundi 
revolutione astrum quidem ■fr perveniat ad punctum £: 
et punctum d ad punctum y: erit igitur astri 6 oc- 
casus vespertinus. 

57 PAG. 122,9: svbg yccQ ^cpdCov 8Csi6iv 7tSQicpsQsiav\ 
Est enim et circumferentia &d dimidii signi pars, et 
item ipsa 8s dimidium signum continet: quare tota 
&ds unum continebit signum: quam etiam circumfe- 
rentiam &ds sol diebus triginta percurrit. 

58 IN PKOPOSITIONEM VII PAG. 124,22: xal S6XI psC- 
%cov r) KTEA TtsQicpsQsia xrjg AJK TtSQicpSQsCag] 
Quoniam autem circumferentia sl ipsi d% est posita 
aequalis, et est circumferentia sld semicirculo zodiaci 
minor, quare *) et ipsa Xdx etiam semicirculo minor 
est: quare tota 2 ) %ysX semicirculo maior est: idque 
patet: et manifestum etiam est maiorem esse nysl 
ipsa Idn circumferentia. 



1) Ab hoc verbo apodosis incipit. 

2) Immo f reliqua': vide figuram ad propos. VII et Grae- 
cum schol. Xy. 



DE ORTIBUS ET OCCASIBUS. 181 

pag. 128, 2: xal ?tQor\ysZxai xb K xov 0] Zocliaci 59 
circuli signa ab occidente ad orientem obtinent posi- 
tioneni, verbi gratia, aries in occidentis parte; post 
arietem seqnitur taurus magis ad orturn; deinde ge- 
mini etiam magis ad ortum; rursus cancer, et simi- 
liter cetera signa zodiaci. Atque haec signa sig xa 
S7t6{isvcc, id est in consequentia, moveri dicuntur, quia 
a sole coruprehenduntur ab occidentis motu ad orien- 
tem, ut exempli gratia ab ariete incipiendo taurus 
consequitur ipsum arietem, quoniam sol prius com- 
prehendit arietem quam taurum. Similiter gemini 
consequitur taurum, et isto modo cancer consequitur 
siguum gemini, et sic de ceteris, et hoc modo signa 
appellantur consequentia. In antecedentia autem et, 
ut graece, sig xcc itQor]yov\isva dicuntur contra moveri 
a motu universi ab ortu ad occasum. Verbi gratia 
dicimus in hoc motu cancri signum magis orientale 
antecedere signum gemini, quod est minus ad orien- 
tem versus. Similiter gemini signum antecedere tau- 
rum, et tauri signum antecedere arietem etc. 

IN PROPOSITIONEM viii pao. 130,3: xov ds T dv- 60 
vovxog xb H s6tcsqiov avaxsXlsi\ Nam astro y occi- 
dente et d per diametrum ipsi positum oritur per 
sextam Euclidis phaenom.; sed cum astro d oritur 
quidem astrum rj simul: quare astro y occidente et 
ipsum r\ vespertino ortu oritur. 

PAG. 130, 22: xal sGxlv r\ ATN 7tSQicpsQsia xrjg 61 
NAA sXa66cov] Quoniam circumferentia Xy circumfe- 
rentiae v% aequalis est (utraque enim signi dimidii 
partem continet), sed yv% circumferentia minor est 
semicirculo, quare et circumferentia kyv est etiam 



182 SCHOLIA IN LIBRUM II 

minor semicirculo: igitur et reliqua vdk maior semi- 
circulo est. 

62 IN PROPOSITIONEM IX PAG. 132, 21: fioQeLOTeQOV 
liev ro E, voxl&xsqov de to K] Non solum astra ac- 
cipiuntur in horizonte borealiora et rneridionalion 
ipso zodiaco, sed etiam, ut hic, sub ipso zodiaco ac- 
cipitur astrum % nieridionalius, quamvis non sit ii 
horizonte acceptum. 

63 IN PROPOSITIONEM X PAG. 136, 22: iv £ 6 %Xioc 
Tr)v KTM TteoLtpEQSiav di&Q%Eta£\ Ac manifestum est, 
quod astrum e occultabitur, quo tempore sol circum- 
ferentiam xy[i percurrit. Quoniam autem *) sole in % 
manente astrum e ortu vespertino oritur, scilicet 
postremo apparet oriri 2 ), et sole existente in puncto 
[i astrum e occasu matutino occidit, videlicet primo 
occidere conspicitur 3 ) , quare astrum e occultabitur 
sole circumferentiam %y\i percurrente. 

64 pag. 138, 4: kccI etiTLV r) MN icivte \ir\vmv] Quo- 
niam vero astrum X per diametrum est positum ipsi 
r] astro, circumferentia igitur kdr\ sex signa continet, 
videlicet sol sex signa spatio sex mensium pertransit. 
Ex quibus ablata circumferentia 1\l, quae dimidium 
signum continet 4 ): reliqua igitur \idrj quinque signa 
et insuper signi dimidium continet. Sed et ablata 
circumferentia vdrj, quae dimidium signum continet: 
reliqua igitur ^iv circumferentia quinque signa habet, 
quae quidem sol quinque mensibus pertransit. 

1) Hanc coniunctionem Auria in demonstratione geome- 
trica ponere solet pro enim. 

2) Def. 8 libri primi. 

3) Def. 7 eiusdem. 

4) Ut positum est. AURIA in marg. p. 57. 



DE ORTIBUS ET OCCASIBUS, 183 

PAG. 138, 6: xccl itizw tj N<d® ila66oov %<pdiov] 65 
Quoniam circuniferentia vdq assumpta est uti dimi- 
dium signum, ideo circumferentia vd est minor dimi- 
dio signo. Est autem d& circumferentia dimidium 
signum: quare tota vd& integro signo zodiaci minor est. 

IN PROPOSITIONEM XII PAG. 140, 27: 87ll xa TtQOg 66 

^isijrj^QLav] Necessario addidit auctor c quae versus 
meridiem sunt, ita ut quae simul cum his oriuntur 
astra ab iis quae simul cum iisdem occidunt, signi 
unius circumferentia distent': etenim nullum eorum 
astrorum quae in zodiaco circulo sunt, neque etiam 
quae sunt ad septentrionem , videbitur in una nocte 
aut 1 ) vespertinum oriri aut 1 ) matutinum occidere, ut 
in propos. XI primi lib. patet. 

PAO. 144, 1 : ro E a6TQ0v i67i£Qi6v Kts} avazillsi, Kal 67 
iooov dvvei] Sol etenim sub terram manet, quo tem- 
pore fit ab astro e et ortus vespertinus et occasus 
matutinus: quare merito eadem nocte astrum e et 
vespertinum oritur et matutinum occidit. 

IN PROPOSITIONEM XIII PAG. 144, 17: e6TC3 tb E 9 68 

6vvdvvov {iev ra r cet.] Cum enim astrum e sit 
magis septentrionale, ut ponitur 2 ), quare astro e oc- 
cidente simul cum astro y et oriente, astrum y sub 
terram est. Sunt autem antegredientia puncta, ab 
ipso y incipiendo, ipsa f 3 ) et (i: quare astrum e simul 
oritur cum antegrediente ipsum y, id est cum ipso £ 
astro. 



1) Rectius Graecus scholiasta v.al — v.ul posuit. 

2) Autol. de sphaer. 9 in marg. p. 62 citat Auria, sed supra 
in contextu pauca omisit, quae vide in Graeco scholio ad h. 1. 

3) Auria hoc loco F, id est £, ponit pro H, id est ah 






184 SCHOLIA IN LIBRUM II 

69 pag. 146 ; 19: xccl XQvipiv ccysu iv cp 6 iqXio$ 
©rK 7teQL(peQ6iav 8iSQ%stca cet.] Quoniam est demon- 
stratuni, quod sole in loco & l ) manente astrum s 
postremo occidere videtur 2 ), et primo oriri conspici- 
tur 3 ) sole existente in puncto x, quare occultatur sole 
deambulante circumferentiam ftyx 4 ), quae minor est 
zodiaci signo. 

70 IN PROPOSITIONEM XV PAG. 150, 18: TO E tt6tQ0 
zal iooov avateXXov oQatai xccl iCTtSQiov dvopsvov] 
Recte, siquidem sole in loco # manente astrum s 
mane oriri primo apparuit, praesertim £ astro distante 
a sole dimidii signi intervallo: non igitur etiam magis 
apparet astrum s niane, £ astro magis a sole distante? 
Eursus, quoniam sole in loco r\ manente astrum s 
postremo apparuit vesperi occidere, atque etiam qui- 
dem magis distante a sole astro y, vesperi magis 
astrum s occidere videtur. Quando igitur sol inventus 
fuerit in quocunque puncto circumferentiae ftrj, astrum 
s eadem nocte et oriri mane et vesperi occidere con- 
spicitur. 

71 Indifferenter autem dixit, quod astrum s et ortu 
matutino oritur et occasu vespertino occidit: nam in 
medio circumferentiae #77 sole manente astrum s ap- 
paret tantuin, non autem etiam vel matutinum oriri 
vel vespertinum occidere 5 ). 

72 pag. 152, 4: xttl tb E cwcc iooov dvvsc] Etenim 

1) Auria iterum .F, id est £, habet. 

2) Id est, occasu vespertino occidit. AURIA in marg. p. 63. 

3) Id est, ortu matutino oritur. IDEM. 

4) Rursus FCK, id est £yx, Auria. 

5) Hoc scholium Auria priori subiungit, f Ex scholio an- 
tiquo' in margine adnotans. 



DE ORTIBUS ET OCCASIBUS. 185 

quanto magis sol ab astro d distaverit, tanto magis 
videtur astrum e occidere, quousque sol ad locum rj 
accesserit: ibi enim sol cum erit, astrum e postremo 
occidere conspicitur. 

IN PROPOSITIONEM XVI PAG. 152, 17: (SWCCVClxel- 73 
lexco de xcov E7to[iavcov xivl xco T\ Quoniam vero y 
astrum prius oritur quam astrum e 1 ), igitur y oriente 
astrum e etiam sub terram est: quare e simul quidem 
oritur cum aliquo eorum astrorum quae consequuntur 
ipsum y } videlicet cum ipso £ simul oritur. Et partes 
occidentales sunt versus y puncturu, mundus autem 
ab ortu convertitur ad occasuru, videlicet a d puncto 
ad partes ipsius y: ideo consequentia astra ab occasu 
ad ortum sunt, quae videlicet a puncto y ad partes % 
et yu tendunt. 

pag. 154, 14: xb E kqv$iv cc%et] Etenim sole in 74 
loco A existente astrum e postremo apparuit occidere: 
quare non apparet deinde, quousque sol ad punctum 
{i accesserit: tunc enim primo oriri videtur. Quare 
sole circumferentiam totam Xy\i deambulante astrum 
e occultum latebit. 

IN PROPOSITIONEM XVII PAG. 156, 11: ecpov CCQa 75 

dvvsc xb F, kccI xb E] Quoniam d astro oriente et 
astrum y, ipsi d per diametrum positum, occidit per 
sextam Euclid. phaenom., quare oriente d astro ortu 
matutino et y occidet occasu matutino. Et quoniam 
positum est astrum e simul occidere cum astro y 7 
quare et ipsum astrum e occasu matutino occidit. 

1) Autol. de sphaera quae movetur -9 Auria citat iu 
marg. p. 67. 



INDEX IX AUTOLYCUM. 

)ompendia scripturae Zcp., 'En., 2%. significant librum 
nsQL Kivoviisvrjg 6cpuLQug, libros nsQL sncxoXcov ■accl dvascov (ac 
nota quidem I priorem, II alterum libruni), denique 6%6hu. 
Numeri qui haec compendia sequuntur sunt paginarum, proximi 
quique commate interposito versuum. Singuli eiusdem paginae 
versus punctis, paginae a paginis semicolis distincta sunt. 

Prout idem vocabulum vel eadem verbi forma saepius 
redibat, nisi forte ad unum omnes loci afferendi esse videban- 
tur, adiunctis notis cet. vel similiter passim significavimus scrip- 
toris usum dicendi iis locis qui ante citati sunt satis illustra- 
tum, eaque de causa reliquos eius generis locos omissos esse. 
Conf. praefationem in indicem Graecitatis Pappi vol. III 
tom. II. 



"A y s i v , ducere rectam : uyouL i- 
vcov 2%. 26, 31; r)v.xuL Ecp. 4, 
23; r)%%-co 4, 9. — ducere, mo- 
vere: xb nuv ccysi zrjv Ed 
TCSQicpeosiuv 2J%. 96, 28 s. ; 
xov nuvxoq uyuyovxog uvxu 
(xu uaxQu) Z%. 86, 18 s. — 
peculiariter astra dicuntur 
KQvipiv uysiv, occultari: kqv- 
ipiv uyst 'En. II 132, 15 s. 
19. 23; 138, 6; 146, 19. 21; 
uyov 106, 20; aget 132, 5. 
22. 24; 134, 9. 13; 138, 13 s.; 
142, 3s; 144, 6.14; 146, [25.] 
27; 150, 2. 10; 152, 13. 154, 
14. 15 s. 22; 156, 21. 23; 
158, 4. 26 s.; Z%. 136, 26. 31. 

ud LUcpOQcog Z%. 150, 33; p. 
LXIV adnot. ad 150, 21. 

udvvuxog: otzsq S6xlv ccdvvu- 
xov Scp. 12, 4. Conf. uxonog. 



usl 2%. 14, 31 cet. 

ulsl Ecp. 4, 20; 12, 13. 14; 
16, 9. 23. 24; 18, 5. 6; 20, 1 
(bis). 3; 22, 3. 4 cet.; 'En. I 
82, 2; 84, 16; II 116, 9; 118, 
11; 120, 19. In codicibus ali- 
quotiens scriptura usl repe- 
ritur: vide p. XXIV adnot. 
ad 4, 20, p. XXVI ad 12, 13. 
? 14 cet. 

ukoIovQ-slv : uv.olov&ovv, 
scil. dcods-nuxrjLLOQiov, 'En. II 

110, 10; UKOlOV&fl^COLLSV Z%. 

70, 31. 

UKolov&cog 'En. II 122, 2. 

u%Qipcoq 2^64, 29. 

ulrj&Lvog: r) ulrj&ivr) scou 
uvuxolr) 'En. I 50, 16, vel r) 
scou ulrj&Lvr) snixoXr) 'En. I 
52, 8, vel xrjg uXrjd-Lvrjg (scil. 
scoug snLxolrjg) 'En. I 50, 18; 



dXXu 



187 



52, 10, ac similiter passim; 
scoug ov6r\g dXr\ftLvr)g sniTO- 
Xr)g Z%. 84, 28; r) s6nsQiu 
uXr\&Lvr) uvutoXt] En. I 54, 3 
cet.; r) scpu dXr\&Lvr) dvGig 
Z%. 64, 23' (item omisso scpu 
64, 24), vel tfjg dXr\&Lvr\g (scil. 
scpug dvoscog) 'En. I 52, 14. 
28, vel xov B doxoov r) dXrj- 
%Lvr) scou ioxl dvGLg 52, 12 s., 
ac similiter passim; dXrj&ivui 

(scil. STCLXOXCLL XS Y.UL dvGSLg) 

'En. I, 48, 6, xcov dXrj&ivcov 
48, 7; 50, 7 s. 9 cet. — ul 
dXrj&LvccL, scil. scqccl stclxoXccl 
xs v.ccl dv6sig, in citanda 
priore parte libri de ort. I 
propositionis I: vgxsqocl ds 
slglv ccl cpccLv6(xsvccL xcov uXr\- 
ftLVcov 'Eic. I 56, 26 s. ; 60, 7 s. ; 
64, 1; 66, 18 s.; Z%. 88, 28 s,, 
vel vgxsqov et cetera perinde 
'En. I 62, 12 s. ; ccl uXr\&Lvui, 

SCil. SGTCSQLCCL STCLXoXcCL XS Y.OCL 

dvcsLg, in citanda eiusdem 
propositionis parte poste- 
riore: tcqoxsqccl ds slglv ul 
cdulvoiisvul tcov uXr\&LVcov'En. 
I 58, 5s.; 60, 12 s.; Z%. 88, 
22; r) uXr\$Lvr\, scil. sGTtSQLa 
stclxoXt], item in citando uno 
casu eiusdem propositionis: 
TCQOTSQU Ss sgxlv r) cpaivo- 
fisvrj xrjg dXrj&Lvrig I 72, 6, 
vel r) dXrjd-Lvrj, scil. scpu dv- 
6ig, similiter in citando uno 
casu eiusdem propositionis: 
TCQOxsQa ds sgxlv r) dXrj&Lvr) 
xr)g cpaivo(isvrig 'En. I 68, 
23 s., vel r) dXr\frLvr\ scil. 
s6TCSQca dv6Lg, item: uqoxsqu 
ds s6xlv r) opuLvousvrj xr)g 
dXr\&ivf\g 'Etc. I 72, 17 s. 
uXXu Zcp. 8, 24; 12, 13 cet.; 
dXXcc y.ul 8, 16; 10, 24 cet.; 
dXX' sl dvvaxov 8, 9; 22, 23. 



dX Xr\ Xco v Z%. 18, 28; uXXr]XoLg 
Zcp. 16, 22; 18, 4; dXXr)Xovg 
32, 3. 

aXXog 'Etc. I 56, 19; 58, 18; 
98, 2. 15; 102, 14 (conf. %qo- 
vog); Z%. 22, 30 (conf. 8id); 
116, 24; uXXog xig Zcp. 40, 13. 
26; uXXrj xlvl 12, 6; uXXo xl 
8, 20; 46, 15; uXXov xLvog 
22, 24; 24, 15. 

ufiu uvuxsXXslv vel dvvsiv 
dicuntur puncta Zcp. 32, 9. 
10, vel astra 'Etc. I 64, 12; 
66, 2; Z%. 86, 16; xu Z H 
(cc6xqu) ccycu s(iTtL7txsL sig xccg 
xov r\Xiov uvydg 'Eic. I 82, 
20 s.; ufiu xo Z {6r\[isiov) stcl 
xo T nuQuyCyvsxuL v.ul xo H 
stcl xo K Zcp % 34, 21 s. — 
cum dativo: ccpu xco r\Xico 
dvaxsXXovxL 'En. I 48, 8; xo 

d U6T.Q0V XCp H U6XQC0 U[IU 

uvuxsXXsl, ov% uliu ds Svvsl 
'Etc. II 124, 2 s.; similiter 
124, 10 s.; 126,4 s.; 128, 13 s.; 
130, 11 s.; 134, 18—20; 138, 
17 (conf. 6vvuvuxsXXslv et 
6vvdvvsLv)-, paulo aliter (xo 

M U6XQ0V) U(JLU UVXCp 6WUVU- 
TSXXSL, OV% UflU UQU UVTCp 

8v6stul 116, 16 s., cuius sen- 
tentiae in priore parte upu 
abundanter verbo 6wuvutsX- 
Xslv appositum est perinde 
ac paulo ante tg> & uiiu 

S6TLV 6VVUVUTSXX0V TO M116, 

$ (conf. praef. p. XLVI). 
d^icpoTSQU yivsTUL Z%. 156, 

v 29 ' 

uv appositum optativo 'En. I 

74, 14; 76, 14; nuvTcog ccv 

sdvvs Z%.76, 28. — scog uv, 

olog uv , bnov uv , o6og uv: 

vide haec vocabula. 

uvd praepositio sensu distri- 

butivo posita: sy,utsqu tcov 



188 



dvuyyiuCcog — dvuToXr) 



HZ Z@ (nsQicpSQSicov) dvu 
jj(iL6v S6TLV ^opdCov 'En. I 92, 
11 s.; eadem' loco adverbii 
posita: skutsqu tcov HE @N 
dvu TSC6ciQcov r){iC6ovs £cp8Ccov 
s6tlv 94, 1 s.; similiter dvu 
8vo £cpSCoov 94, 3 s.; atque 
etiarn 94, 2 dvd Svo r\[iC6ovg 
^cpSCoov pro r)fiL6v restituen- 
dum esse videtur. Conf. quae 
a nobis commemorata sunt 
in Fleckeiseni annalibus 
(Jahrbiiclier fiir classische 
Philologie) 1884 p. 741 s. 

dvuynuCoos 2%. 140, 28. 

dvdnuXiv 2%. 134, 31. 

dvuTsllsLv dicuntur puncta 
2cp. 12, 12. 22; 14, 6. 9. 12. 
19. 26 cet., vel circulus 2cp. 
42, 1 s. (conf. dvuToXrj); 2%. 

16, 27 s. cet. , vel semicircu- 
lus 2cp. 42, 19 s. 22, vel cir- 
cumferentia 2cp. 42, 14—16. 

17. 18; 'En. II 108, 7; 2%. 
28, 35 cet., vel sol 'En. I 48, 
8. 9. 16. 18; 50, 14. 19; 52, 
15 cet. (conf. r\Xios), vel astra 
2cp. 34, 16; 'En. I 48, 12 cet.; 
2%. 116, 28 cei, vel £cqSlu 
'En. II 112, 1—3. — Formae 
verbi occurrunt hae: uvutsX- 
Isl 2cp. 14, 26; 16, 5; 32, 11: 
34, 16; 'En. I 56, 10. 12; 62 
17. 18. [22]; 64, 12; 66, 11 
68, 12 cet; Z%. 16, 28 cet, 
dvuTsXlrj 'En. I 48, 12; 62 
21; 100 ',3. 27; 104, 13. 21 
106, 6; uvutsXXstco En. I 54 
2; 56, 8; 66, 2; 70, 21 cet. 
2%. 64, 17; uvutsXXsiv 2% 
28, 37; uvutsXXcov^ 2%. 116 
28 ; uvutsXXovtos En. I 50 
14. 19; 52, 15; 56, 24 cet. 
uvutsXXovtl 'En. I 48 , 8. 9 
62, 10; uvutsXXov6u 'En. II 
108, 7.16.17.18. 20; 110, 1.14. 




15. 16. 18 cei; 2%. 110, 25. 
dvuTsXXov6rjg 'En. II 108, 22; 
uvutsXXov En. I 48, 17; 50, 
2. 20. 22; 52, 1; 54, 6.' 8. 9 
cet.; 2%. 48, 20 (bis); 58, 33; 
62, 26; 78, 24. 26 cet.; dvu- 
TsXXovTOs'En. I 58, 3; 66, 15 
cet.; 2%. 66, 25 cet.; uvutsX- 
Xovtu 2cp. 32, 19; 'En. I 96, 
2; II 112, 16; 134, 6; uvutsX- 
Xovtoov 2cp. 32, 9; 'En. II 
112, 3; uvstsXXsv 126, 14; 
uvstslXsv 2%. 56, 28; uvutsl- 
Xul 'En. I 48, 16. 18; 2%. 78, 
26; 80, 27. 32; 96, 30; 116, 
35; uvutsCXus 'En. I 74, 10; 
uvutslXuv 2%. 150, 25; 152, 
20; uvutsXsl 2cp. 12, 12. 22; 
14, 6. 9. 12. 19; 16, 10. 16; 
22, 3; 42, 2; 'En. I 98, 1. 3 
cet. — Formae uvutsXXsi et 
dvaTsXsi: inter se distinctae 
p. XLIII adnot. ad 100, 7. 
— Simplex uvutsXXslv di- 
stinctum a composito 6vv- 
uvutsXXslv p. XXXIX ad 76, 
5. 6. — Synonyme astra di- 
cuntur sniTsXXsiv, ubi vide, 
et conf. p. XXXVI ad 56, 18. 19. 
uvutoXt): noLsi6&uL tt\v uvu- 
ToXrjv dicitur circulus 2cp. 22, 

23 s.; 24, 16. 18, idem noLstv 
tt\v dvuToXrjv 2%. 22, 30 s., 
idem tcp A u6tqoo noistv Tr)v 
dvaToXr]v 2%. 58, 30; noLSL- 
6&ul tus uvutoXus dicuntur 
circuli 2cp. 22, 9. 20 s. 22; 
24, 20, vel circulus 2cp. 42, 

24 s., vel astra 'En. I 72, 25 s.; 
84, 12 s. cet. Conf. noLslv. — 
dvuToXr) tov rjXCov 'En. II 
108, 2 ; unb Trjs d dvuToXrjg 
108, 3; S6T0O snl Tr]s uvuto- 
Xr\s tqCu u6tqu 112, 23 s.; 
to snl Tr\s dvuToXr)s (u6tqov) 
2%. 126, 20. 22, item ro sv 



dvaxo7.LY.6g — dno 



189 



xr) dvaxoXr] 126, 25; cog dnb 
dvccxoXrjg ini dvGfidg 2%. 126, 
17; 7tq6g dvccxoXdg 'En. 194, 
13 (conf. 7tnog); nQog xcctg 
dvaxoXcctg 2%. 80, 31 s.; xccxa 
xdg dvccxoXdg: vide Yccxd; inl 
dvuxoXdg 2%. 126,31 s.; 128, 
19. 20 s. 21 cet.; dno dvaxo- 
Xcov 2%. 128, 25. — dlri&Lvr), 
867t£QLa, stpu, cpuLVOLLsvr} dvcc- 
xoXr) : vide haec adiectiva et 
€pttLvs6%-ttL. — Conf. srtLxoXrj, 
dv6ig, dv6Lir), item verba dva- 
xeXXelv cet. 
dvaxoXLHog: s6xco uvccxoXlyu 
fiSQT] xd Z H 2<p. 40, 29, si- 
militer 'En. I 50, 12 ; xo dvaxo- 

XlYCOXSQOV (tt6XQ0v) 2%. 126, 17. 
dvL6og: slg dvL6cc xsllve6%-ccl 

dicitur circnmferentia 2cp. 20, 

18 s.; 24, 9. 
dvxl xov sig xd nQorjyovLLEva 

LLEQrj 2%. 122, 34; dvxl xov 

pQadvxsQov 124, 29; similiter 

124, 30. ^ 
dvxL6xQocpLOv p. LV adnot. 

ad 10, 29. 

dvXL6XQ0Cp0V, Scil. d-ECOQriLLtt, 

2%. 10, 29; praef. p. XXVI 

adnot. ad 10, 10. 
uvco: buoLcog xco dvco dEL%&r}- 

6EXUL 2%. 24, 23; xo dvco ncog 

slq^xul 2%. 119, 7. 
uvca&sv c. gen. p. LV adnot. 

ad 12, 23—25. 
d^cov sphaerae 2cp. 2, 13. 14. 

16. 17; 4, 2. 5. 7. 20. 26. 27; 

6, 4. 8. 12 cet. 
dnsvuvxCov : (nsQLcpsQSicc) 

nSQLCpEQELU 167} XE Y.ttX dn- 

svccvxCov *En. I 100, 8 s.; si- 
militer 104, 17 s. 
dns%£Lv: dns%SL nu6u (r) 
nsQLcpSQELa) xov rjXCov vnsQ 
r\LLi6v \cp8Cov 2%. 110, 32 s.; 
sav xov OQCgovxog vnb yr)v 



7]lll6v ZcoSlov dns%r} 6 ijXiog 
En. II 108, 12 s.; sdv xd 6vv- 
Svvovxu (a6XQtt) dns%r} xcov 
6vvavaxsXX6vxcov uvxotg sXccx- 
xov r)(iC6ovg £codCov II 134, 
2—4; similiter^ 138, 8—10; 
142, 1 s.; sdv xd 6vvdvvovxa 
dnb xcov 6vvccvaxsXX6vxcov 
u6xqcov dns%rj cet. 144, 9 — 11; 
similiter 146,' 23 s.; 150, 1 s.; 
152, 9—11;^ 154, 19 s.; 156, 
26 — 28; (6 7}XLog) dns%cov ccv- 

XOV (xOV tt6XQ0V) LS LLoCQttg 

2%. 86, 18; similiter 114, 20 s.; 
xdg fisC£ovg 7tEQicpEQsCccg dns- 
%ovxog xov r)XCov vnb xbv 
oqC^ovxu 'En. I 92, 3 s.; simi- 
liter II 120, 20 s.; 2%. 78, 
25; 80, 29; 92, 22— 26 cet.; 
ls' (loCQccg dns%ovxog xov r)XCov 
dnb xov oQC£ovxog 2%. 92, 

21 s.; similiter 92, 23; nsQL- 

CpEQSLU VnEQ 7]LLL6V £tp8CoV 

7tEQLcpsQsCug dns%ov6u 'En. II 
110, 13 s.; (tt6XQ0v) dns%ov 
xov r ls LLoCQug 2%. 122, 

22 s., similiter 122, 26; item 
sXuxxov dns%ov 2%. 126, 28. 
Conf. dcpL6xdvccL. 

dnXuvr)g: xcov dnXuvcov 
U6XQC0V ttl InLxoXttC cet. 'En. 
I 48, 5; K6XQ0V xl xcov dnXu- 
vcov 'En. I 50, 15; 52, 12; 
54, ls. 18 s.; 56, 24 s.; 60, 5 s. 
cet.; EY.cc6xov xcov dnXccvcov 
tt6xQcov 'En. I 50, 6; 56, 17; 
58, 16; 72, 25; 74, 16. 20. 
25; 88, 15 s.; 90, 5; II 114, 
10 s.; tt6XQtt XLvd xcov dnXu- 
vcov 'En. I 62, 4. 10 s.; 70, 
21; 72, 3 s.; 102, 19; simi- 
liter 84, 12 — 14; xcov dnXu- 
vcov U6XQC0V 06cc 'En. I 60, 
23; 70, 11; II 112, 17. 

dnXtog 2%. 90, 23. 

dno: r)%9-co dnb xov F inl xr)v 



190 



dnoSELY.VVVUl — unoXuLLBdvsLV 



AB sv&siuv v.d&Exog 2cp. 4, 
9 s.; dnb xov hsvxqov xrjg 
ccpcciQCcg ucc&Exog t)y.xul 4, 
22 8.; r\ unb xov A snl xb B' 
inL^SVyVVLLEVTj ev&eicc 8, 15 s.; 
similiter 2%. 26, 23 s.; oxuv 

XO H GTQLLSioV UQ^ULLEVOV Unb 

xoi E 67]Llelov — inl XO A nUQU- 
ysvrjxuL 2cp. 38, 12 — 14; dtp' 
olov dv i&sXr/g gyjllelov, scil. 
uqI-ug&ul, 2%. 106, 25 s., ac 
sirniliter aliis locis; dnb hqlov 
6 xuvQog xop vqloo snoLLSVog, 
dnb xuvqov SCSvllov cet. 2%. 
128, 22 — 24; xb dnb xov d 
7\llly.vv,Xlov 2cp. 30, 8; simi- 
liter 30, 9; 'En. I 82 ; 10 s. 
18 — 20 cet. (conf. uGVLLnxoo- 
xog); xov t)Xl'ov ccnb xov T 
ovxog 2%. 84, 29 s.; iuv xu 
gvvSvvovxu dnb xoov gvvuvu- 
xeXXovxcov ugxqcov dns%rj cet. 
'En. II 144, 9— 11, ac simili- 
ter passim: vide dns%SLV in 
formis dns%rj et dns%ovxog; 
dnb xeov Z H obg inl xu AMB 
(iSQrj 2%. 82, 28; dnb xov T 
inl xb Z vul M 2%. 152, 29 s.; 
cbg unb xov Z inl xb T 2%. 
152, 28; xu unb xov T cbg 
inl xb © v.u\ M (ugxqu) 2%. 
144, 27 s.; dnb Svglloov 2%. 
84, 27; dnb Svgllcov inl dvu- 
xoXccg 2%. 126, 31 s.; 128, 19; 
cbg ccno uvuxoXrjg inl SvGLLug 
2%. 126, 17; dnb dvuxoXoov 
inl SvGLLug 2%. 128, 25; dnb 
dvuxoXeov inl Svglv 2%. 152, 
28; dnb Svgecov inl dvuxoXdg 
2%. 152, 28; ccnb sqpug cpUL- 
voLLSvrjg inLxoXr)g vel SvGseog 
'En. I 56, 17 s.; 58, 16 s.; 60, 
24; 62, 7 cet. (conf. yiyvs- 
g%ul et noLEtv); (sgxul 6 %qo- 
vog) xop H ugxqco dnb sepug 
cpuLvofiivrig inixoXr\g in\ xt)v 



SGnSQLUV CpULVOLLEVrjV EnLXO- 

Xrjv 'En. 1 88, 6 s. , similiter 
88, 14 s.; item dnb xr)g sepug 
inixoXrjg inl xt)v sGnEQiuv 
inLxoXr]v vel similiter astra 
dicuntur nuQuyCyvsGftuL vel 
nuQstvui vel r\v.ELv: vide haec 
verba; r) dnb sopug dXTj&Lvfjg 
inLxoXijg sopu uXrj&Lvr) SvGLg 
2%. 102, 31 s.; (6 r]XLog) unb 
scnsQLug (inLxoXfjg) sopuv noi- 
elxul 2%. 80, 34 s. — dno, 
propter theorema aliquod, 2%. 
4, 30; 30, 25. 26; 36, 16. 17; 

^38, 19; 132, 25. 30. 

unoSs LKVVVUL : ip2L8S.unoSEL- 
vvvxul 2%. 114, 22; dnsSsC%&r} 

10, 31. Conf. SsiHvvvuL. 
unoSsL^Lg 2%. 119, 1. 
unovu^LGxuvuL: (suv) nsQL- 

EVE%%SV XO 7\LLLYVY.7.LOV ELg XO 

uvxo nuXLV dnov.uxuGxu&jj 
2cp. 4, 13 8. 
dnoXufiBdv elv: dnsLXTjop&eo 
r) dA (nsQLcpEQSLu) 'En. II 
120, 4; dnsLXiqcp&co £epSCov 
nsQLcpsQSLU 108, 5 s., similiter 
120, 3 8.; 124, 6; 126, 7 s. 
cet. — ogu (scil. ugxqu, vel 
ogu xeov ugxqcov vel similiter) 
dnoXufiBdvsxuL vnb xov £oo- 
SLunov^En. II 112, 17 s.; 122, 

11. 13 s.; 128, 5. 8s.; 132, 
3s.; 138, 7; 140, 26; 148, 26; 
154, 17; xoig dnoXuLLQuvoLLE- 
voig uGXQOLg vnb xov £opSiu- 
hov 'En. II 144, 8; item 
omisso uGXQOig 134, 1; 146, 
22; 152, 8; 156, 25. Conf. 
Martinum Hevue critique (V hi- 
stoire etc. (loco in praef. p. V 
laudato) p. 415, qui de ver- 
bis dnoXuLLBdvsGd-uL vnb xov 
£cpSluy.ov inl xu nQog u.QY.xovg 
vel snl xu nQbgLLEGrjLiBQLUV dis- 
serens, Ces mots, inquit, regoi- 



anoatuaig — uovtinxcoxog 



191 



vent ici une significationpeu Jia- 
oituelle, qu'il est oon d'expli- 
quer: ils s^appliquent aux 
etoiles fixes (ugxqu), mises d 
part, les unes du cote du nord, 
les autres du cote du sud, par 
le zodiaque, c'est-d-dire aux 
etoiJes fixes sititees au nord 
ou au sud de la oande zodia- 
cale. 

anoaxaaig xov rjXiov Z%. 70, 

r 27. 

unx eo&ul: unxsxuL xr\g AB 
EYUXEQa xcov H@ KM (sv- 
ftsLcov) Zcp. 26, 12; ngbg nd- 
aag xug unxofisvug avxrjg iv 
xcp HZK0 inLnsdco oo&r} 
ioxLV r) AB 26, 10 — 12; (iuv) 
■xvnXog [iel^ovcov unxr\xuL -r) 
cov 6 6ql£cov anxsxuL 40, 13 s.; 
similiter unxso&co — r) cov — 
icpdnxsxui 40, 28 s.; ol xcov 
avxcov icpunxofiEvoL fisyioxoL 

YVyXol, COV YUL 6 OQL^COV U%XE- 

xul 28, 14 s. Conf. icpdnxs- 
a&uL. 
dncoxsQov p. XXIX adnot. 
ad 24, 13. 

dncoxsQco Z%. 80, 23. 

uqu Zcp. 6, 2; 8, 6. 11. 15. 
17 cet.; 'En. I 50, 16; 52, 1 
cet. 

aQKxog: nQog uQYxovg 'En. I 
60, 26; 62, 6; 66, 3; 70, 23 
cet.; Z%. 112, 28; nQog uqyxov 
I 86, 9; II 112, 18 (at prio- 
rem ex his locis antecedit 
nQog uQKXovg 84, 13, poste- 
riorem sequitur idem 122, 
12). — xu nQog uQYxovg: vide 

O, 7], XO. 

ciQftsa&uL: (suv) nsQLSvs%ftsv 
xo tjlllyvyXlov slg xo uvxo 
ndXiv unoKUxuaxu&fj o&sv r t Q- 
j;uxo cpEQsa&UL Zcp. 4, 13 — 15; 
oxuv xo H arifiSLOV uq^ullsvov 



dno xov E orjLLsiov — inl xo 
A nuQuysvr^xaL 38, 12 — 14; 
simijiter 38, 14 - 16; 40, 3—5; 

UQ^ULLSVOL Z%. 126, 18. 

UQXW fc 'i uQxrig Zcp. 40, 6. 

doxs QLGiLog Z%. 106, 23. 

ugxqov 'En. I 48, 8. 10. 12. 
14. 16. 19; 50, 2. 4. 15. 16. 
17 cet.; xu Z H uoxqu Zcp. 
34, 15, aaxQOv xi xo z/ 'En. 
I 50, 15, xo d daxQOV 50, 
15 s. 17. 19 s. 21, ac simili- 
ter passim (etiam in scholiis, 
velut 58, 19. 21. 23); vel 
omissa voce uoxqov: xo B'En. 

I 52, 20, xo H 56, 9, ac simi- 
liter passim. — dnXuvrj ugxqu 
'En. I 48, 5; 50, 6. 15; 52, 
12; 54, 1 s. cet. Conf. dnXu- 
vrjg. — xcov inl xov uvxov yv- 
YXOV CpSQOLLSVCOV uoxqcov 'En. 

II 132, 3. — xu inl xov xcov 
^codicov yvyXov ccgxqu 'En. I 
94, 6; similiter 96, 3; II 118, 
14 s.; Z%. 88, 19 v 25 s. cet, 
Conf. £cpd\u7i6g, £co8lov, xdo- 
oslv. — uoxQa xu v.uxu did- 
llexqov ovxu yuxu ov^vyiuv 
uvuxsXXel XS YUL dvvEL 'En. 
I 62, 16 s. cet.; similiter 96, 
3 s. cet. Conf. diuLLSXQog et 
ov^vyiu. — De astrorum or- 
tibus et occasibus et variis 
positionibus conf. uvuxeXXelv, 
uvuxoXrj, uvyr\, fioQSLog, yCyvs- 
g&ul, Svvslv, SvGLg, sivui, 
iYcpsvysLV, iiLninxsLv, inLxsX- 
Xslv, inLxoXr), Xu[i@uvelv, nsQL- 
yuxuXull$uvelv , noLsiv med., 
cpuivso&ui, cpaOLg. 

ugv Linxcoxog: uovftnxcoxov 
ioxLv xo dno xov A tjlllyv- 
yXlov cog inl xu T Z E [iSQrj 
xcp dno xov A rjfiLYVYXicp cbg 
inl xu H B A (iSQrj Zcp. 30, 
8—10; similiter 'En. I 82, 



192 



arortog 



18 — 20; Vel C06TS U6Vfl7tTC0- 

tov slvut cet. 82, 9—11; 86, 
4—7; [istu^v tcov u.6v\x,rtTco- 
rcov rjiiLYVYXicav 2cp. 30, 13 s.; 
2%. 82, 29; 90, 21 s. 

UTOTtOq: OrtSQ S6UV UTOrtOV 

2cp. 14, 7; 24, 14; 32, 4; otisq 
utotiov 8, 17; 22, 1; to ccto- 

7tOV 7tUQU6Trj6C0\lSV 2%. 26, 24. 

uvyrj: astra dicuntur s\ini- 
TtTstv sig Tccg tov rjXiov avydg 
'En. I 82, 21, vel s6%uTcog 

7tSQlY.CiTCi%Cl[L$CiVS6%'Cil VrtO 

tcov tov rjXiov uvycov 78, 
6—8; ^82, 13s., vel^ snqpsv- 
ysiv Tug tov rjXiov uvyug 52, 
3. 20. 21; 64, 4s.; 66, 20 s.; 
70, ls.; 78, 9s.; 82, 15; 84, 
5. 8. 18; 86, 14; 92, 5; 2%. 
68, 25 s.; 84, 21; 112, 7—9; 
vel alio verborum ordine 
sncpsvysiv tov rjXiov rug uv- 
yug 'Ert. I 74, 17, vel Tug 
avyag sncpsvySLV ru u,6tqu 
Tug rov rjXiov II 108, 11 s.; 
vel brevius (u6tqov) cpvyov 
Tug uvyug 2%. 84, 23. — stl 
uvyui si6iv 2%. 54, 30; 60, 
29. ^ 
AvToXvnog TtSQt YLVov\xsvrjg 
6cpuiQug p. VI s. ; XXXV ad- 
not, ad 46, 18; 2cp. 2, 1 s. 
2%. 44, 30; 66, 22; 84, 20 
96, 26; 98, 28; 102, 27; 144 
25 s.; 152, 24 s. — idem nsQ 
irtLToXcov yul 8v6Scov p. VII 
XLIV adnot. ad 106, 14 
LIV ad 158, 28; 'En. I 48 
1 s.; II 106, 15 s. ; uno tov l 

TOV TtSQL SrtLTOXcOV YUL 8v6SC0V 

tov a §LpXiov 2%. 132, 25 s.; 

UrtO TOV LS' TOV Ci ^L^XioV 

tov uvtov 2%. 132, 30. Conf. 
p. 133 adnot. 3 et 5. — eius- 
dem TtQog 'AQL6T0&rjQ0v Slu- 
CpOQCt p. VII s. 




UCpULQSLV 



avTog: uvtov 2cp. 4, 12; 6, 
24; 'Ert. I 78, 18; 96, 18; II 
120, 18; 132, 11 cet.; uvTa 
2cp. 4, 15; 'Ert. I 62, 18; 72, 
12 cet.; II 106, 20; 116, 16. 
17 cet.; uvtov 2cp. 16, 17 
cet. ; uvtcov 8, 5; uvrrjg 4, 1; 

14, 19; 'En. II 110, 9; uvtjj 
108, 21. 23; uvrrjv I 100, 5. 

15. 29 cet.; II 112, 6 cet. ; 
uvtu I 96, 15; avTolg II 134, 
3. — 8l wvtov tov u^ovog 
2%. 26, 28 s. — (af nsQicps- 

QSLUL) si6\v TOV UVTOV YVyIoV 

2cp. 12, 2 s.; ul sv tco uvtco 
KVTlXcp TtSQLCpSQSLUL 2%. 10, 26; 
SV TCO UVTCO TOV AB Y.VYXOV 

irtLrtsdcp 2%. 26, 32; tu snl 
tov uvtov yvyIov 6rj\iSLa 2%. 
10, 27; tcov irti tov uvtov 

KVnXoV CpSQO\lSVCOV U6TQC0V 

'Ert. II 132, 3; noXog tov uv- 
tov, scil. yvyXov, 2%. 18, 21; 
Tovg uvTOvg noXovg 2cp. 2, 
15; 4, 6.27; 6, 1. 4; sv rcp 
uvtco xqovco 2%. 82, 30; tov 
avTov Xoyov 2cp. 2, 7; Tr}g uv- 
Trjg vvYXog 'En. II 146, 25 cet. 
(conf. vvg); sv tjj avrrj WYTi 
144, 1, item omisso sv 142, 
2 ; &S6LV trjv uvtitjv 'En. I 
100, 1; to uvto s6tul II 116, 
13; 118, 13; s6tco tu uvtu I 
56, 5; nQog tco uvtco 6rj\isico 
2%. 26, 31; yutu to uvto 
6rj[iSL0v 2%. 18, 27; Y.aTa tu 
uvtu 6rj\isiu 2cp. 16, 9; 22, 
8. 18 s. cet.; sig to uvto 4, 
14; Y.UTU to: avTu 'En. I 72, 
21; Slu tcc uvtu: vide diu; 
rcov uvtcov vrtoasLfisvcov :vide 
hoc verbum. 

UCpULQSLV: TrjV TtSQLCpSQSLUV 

ucpuLQOvvTsg 2%. 116, 31. — 

paSS. (rtSQLCpSQSLUV) UCpULQOV- 

fisvrjv 2%. 116, 32; (rtSQLcps- 



aqxxvrjg — yCyvs6$aL 



193 



QELu) dcp7]QT]6&C0 'En. II 110, 

8; 112, 5; 114, 1; 116, 1. 3. 
19 cet.; 2%. 92, 16. 

dcpavr)g (y.vy.Xog) 2cp. 16, 24; 
18, 6; 20, 2; 22, 4; 30, 2; 
Slcc tb tbv rjXiov dcpavr) av- 
tr)v (xr)v nsQicpsQSiav) noLstv 
2%. 110, 28; nQog tcp dcpuvsZ 
noXcp 2cp. 16, 23; 18, 6; tb 
dcpavsg r)(iL6cpaLQL0v tr)g 6cpuC- 
Qag 12, 9 s. 14; tb dcpuvsg 
tr)g 6cpaiQag 'En. II 120, 1 s., 
vel brevius tb dcpuvsg 2cp. 
12, 17 s.; 14, 17. 23 s. ; 16, 
20; 18, 3; 22, 6. 13; 32, 8 s. 
16 s.; 36, 2s. 6; 40, 12 s. 22; 
'En. II 112, 21; sv tco dcpa- 
vsl 2cp. 12, 14; 14, 14 s. (bis); 
dcpavri (6r]}iELu) 12, 14; dcpa- 
vsg (a6tQ0v) 2%. 84, 24; 154, 
29; td dsl dcpavr) (u6tQu) 
2 X . 72, 29. 

dcpuvC^SLv: dcpuvL6&sv 
(a6tQ0v) 'En. I 82, 6; 84, 10; 
dcpavL6$svza (u6xqu) 76, 24; 
^80, 17. 

dapLKvsL^&ai: (b r]Xiog) dcpt- 
y,rjtaL snl tb N 'En. II 116, 
11; similiter 118, 12; 120, 19. 

dcpi6tdvaL: o6co dcpC^xuxuz 
tov d b r]Xiog 2%. 152, 21; 
dcpL^tapsvov tov r)XCov 2%. 
150, 27. 29; 152, 18; dno- 
6tdvtog (zov r)XCov) 2%. 80, 
32; 84, 29. Conf. dns X SLV. 

BaCvszv: fisfirjTisv snltrjgHP 
nsQLcpsQsCag r) vnb H2P cet. 
2%. 28, 25—27; similiter §s- 
firjKEvaL 35 extr. 

@LpXCov 2%. 4, 30; 6, 27; 26, 
26; 31, 29; 114, 29; 132, 26. 
30; sv tco nsQL olM.r\6Scov, scil. 
$l$XCco, ''En. I 92, 13; tb d 
vel to 0' (scil. Pl§XCov) 'En. 148, 
3; II 106, 17, item tov d vel 

Autolycus. 



tov §' 2 X .±, 28 ; 6, 26; 8, 27. 28 
cet. ; tovzov (scil. tov @l§XCov) 
2%. 14,27; 38,20. 21; 42, 30. 
§OQSLog %covr\ 'En. II 114, 10; 
2%. 114, 26; fioQELog noXog 

2%. 114, 27. pOQELOtEQOV 

(u6t Q ov) 'En. 114, 15; 116, 
16; 124, 2; 132, 12. 17. 21; 
2%. 62, 23; 144, 25; (u6tQu) 
fioQELOtSQa (tov tcov fccodCcov 
xvkXov sive tov £oodLU7iov)'En. 
194,8; ^.132,28; 140, 30 s. 

§ovXs6&ul: (SovXstui 'En. II 
134, 25. 

fiQudscog: §QudvtSQov 2^.124, 
29. 

rdQ 2(p. 4, 8; 6, 11. 21; 8, 9 
cet.; 'En. I 56, 8; 62, 10; 68, 
10; 72, 3 cet. 

yr\: vnsQ yr)g 'En. II 106, 22; 
110, 3; 2%. 68, 18 s.; vnsQ 
yr)v 2cp. 34, 13; 'En. I 62, 
19; 66, 10 s. 13 s. 15; 96, 18; 
II 108, 9 (conf. praef. p. XLIY) ; 
2%. 52, 29; 54, 30; 58, 35; 
60, 30; 62, 28 s.; 66, 24. 26. 
29; 68, 27; 98, 27 cet.; iv 
tco vnsQ yi)v 'En. I 96, 6; 
100, 2. 13 cet.; 2%. 98, 29 
cet. — vnb yr)v 'En. I 50, 13; 
60, 4; 62, 3. 20; 68, 11. 17; 
70, 18 s. cet.; II 108, 10. 12 
cet.; 2%. 62, 28; 66, 28; 68, 
27; 84, 30; 86, 18; 92, 22. 
23. 25. 27. 28 cet.; sv tco vnb 
yr)v 'En. I 98, 1. 3. 17; 100, 
2. 4. 6. 12. 15. 17. 19. 21. 24 
cet.; p. XLIII adnot. ad 100, 
23. 

yCyvs6&ai: yCyvstui 'En. I 
74, 18 cet.; dv ysvoito 74, 
14; 76, 14. — tcp A u6tQcp 
dnb scpag cpuLvo[isvr\g snL- 
toXr)g scpu cpuLvoiisvr\ 6v6lq 
yCyvstai did r)(tC60vg sviuvtov 
13 



194 



yQccpiiri — Slu 



'Ert. I 62 , 7 s. ; similiter 64, 
10 s.; 70, 25 s.; 96, 22 s.; 98, 
7s.; 102, 9s. 20s.cet.; yC- 
vovxai ul scoul 8v6SLg 2%. 
122, 35; y.ui xr)g sonsQiag 
dvaxoXr)g v.a\ xr)g scoag Sv- 
Gscog ysvo[isvr]g 2%. 144, 20 s. 
Conf. slvai et noisiv med. — 
(oxav) 6 T]liog itQog xco F ys- 
vrjxai 'En. I 62, 21; xov r)XCov 
sn\ xov N ysvofisvov II 116, 
1 s.; similiter 116, 20 s.; 120, 
20. — e scholiis praeterea 
enotavimus formas yivsxai 
12, 24; 64, 30. 32 cet; yC- 
vovxai 122, 35 cet.; ysvoixo 
116, 30; yCvso&ai 134, 28; 
sysvsxo 66, 23; ysvofisvov 58, 
20. 29; 64, 21 cet. 

y QapiLr] , linea vel lineae 
segmentum 2<p. 2, 6. 7. 9 
(bis). 10. 

yQacpsiv y.vy.Xov vel Yvvlovg 
vel n,aQaXXr{Xovg dicuntur 6r\- 
Hsta vel svQ-stai vel homi- 
nes: yQacpsi Zcp. 4, 26; 6, 4; 
yQacpov6i 2J%. 62, 25; yQacpsxco 
Scp. 44, 19; yQaipcofisv £%. 
26, 22; 28, 18; 84, 26; yQa- 
tpai Z%. 30, 23; yQaipsi Zcp. 
2, 14; 4, 5. 17 s.; 44, 18. — 
pass. ysyQa^iLisvoL sl^Cv Ucp. 
8, 5; 30, 11; ysyQacp&ca Ecp. 
18, 9. 11; 22, 27; 30, 3. 7; 
36, 12; 'En. I 82, 8; II 132, 
9; ysyQacp&ca6av I 86, 3; 
yQacpij 2%. 24, 2; yQacprjvaL 
'Etc. I 96, 16 s. ; yQacpsvxog 2cp. 
4, 22 ; yQacpr]6s xaL p. LVI ad- 
not. ad 24, 23. 

ycovCa: r) vnb xtov KM® yco- 
vCa 2cp. 28, 1; similiter 28, 
3. 8. 9. 11 cet.; 2%. 26, 35; 
28, 17 cet. ; item omisso sub- 
stantivo r) vnb H2P 2%. 28, 



26 s. cet.; 6£sta ycovCa 2%. 
26, 30. 35; 28, 17. 33. 

Js 2cp. 2, 6; 4, 1. 19 cet.; 
'Eit. I 48, 6. 7. 9cet. 

8sLY.vvvai: Sslkvvslv 2%. 134, 
27; 8sLY.vvvxsg 80, 20; s8sl£s 
134, 26 ; SsC^collsv 26, 23 ; SsC^sl 
92, 19; SsCioiisv 2cp. 4, 24; 
8, 19; 12, 5; 14, 9; 16, 13; 
22, 2; 24, 17; 42, 21; 46, 
14 s.; 'Ert. I 76, 19; 80, 1. 11. 
— pass. SsCv.vvxaL 2%. 70, 27. 
29; 8s8sLY.xaL 'Ert. I 88, 15; 
90, 17; s8sC%&ri 80, 12; 100, 
18 ; 2%. 24, 25 ; 38, 22 ; 146, 29 ; 
SsL%&rJ6sxaL 'En. I 50, 22; 74, 
23; II 122,1; 2^.24,23; 26,17. 

Sstv: sSsl 2%. 150, 21. 

SsL^Lg 2%. 26, 15; 116, 30. 

Ssnansvxs'En.1 74, 16. Conf. 
rtSvxsnaCSsKa. 

SsvxsQog: stcl xrjg SsvxsQag 
Y.axayQacpr)g 2cp. 8, 24 s. ; xb 
/3', scil. pL§XCov,'Ert. II 106, 17. 
Conf. fiifiXCov. 

Sr) 2cp. 4, 11. 13; 6, 23. 25; 
8, 22; 30, 8; 36, 13; 40, 3; 
'Ert. I 58, 1; 76, 19; 80, 1 
cet. ; Sr) rtdXiv I 58, 3; vvv 
(isv Srj II 114, 3; ndXiv 
Srj et biLoCcog Srj: vide haec 
adverbia; Sid xd avxa 8r\ 2cp. 
28, 2s.; 42, 16; 'En. II 108, 
18; Sid Sr) zovxo 'En. I 64, 
14; Xsyco Sr) , cpavsQov Sr): 
vide XsysLv, cpavsQog. 

Sr)Xog: Sr)Xov yCvsxaL xb tiqo- 
i\yov\isvov 2%. 126, 27; 8r)Xov 
oxl'Eti.11 108, 16 s.; 112, 10; 
2%. 16, 27; 76, 30; 78, 27 s. ; 
80, 24; 84, 22; 114, 30; 136, 
26; 158, 29; 8r)Xov cbg 'En. I 
74, 11 s.; 76, 11; 84, 4; 100, 
11. Conf. cpavsQog. 

SLa c. gen.: ysyQdcp&co Slk xov 



dict[iiv£iv — did(i£TQog 



195 



H iisyi6Tog HvnXog 'En. I 82, 
8; similiter 86, 2 s. cet.; (xb 
TjfiLHVHXLOv) iX£V6£xuL Yttl Sltt 
xov J 2cp. 6, 25, tjulxvkXiov 
xb Slk xcov A r B 8, 28 8., 
ac simiiiter passim; oV dX- 
Xov 6T}(jl£lov 2%. 22, 30, simi- 
liter 22, 31; Sid xov y.£vxqov 
2%. 46, 20; dV ccvxov xov 
ui-ovog 2%. 26, 28 s., ac simi- 
liter passim; Sid xcov noXcov 
2cp. 4, 10; 14, 16. 22; 16, 6; 
2%. 14, 31 cet.; xo Slu xr)g 

AB Yttl XOV r £7lL7t£d0V 2cp. 

6, 22 s. , similiter 4 , 10 s. — 
punctum dicitur dvuxiXX^Lv 
vel 8vv£iv Slu orjLi^Cov, velut 
xov Z vel xov B cet., 2cp. 
42, 7—13; (ot kvhXoiJ Slu 
xcov d B 6r\ii£Lcov xug uvuxo- 
Xug noLOvvxuL cet. 2cp. 22, 
21 s., similiter 22, 24 s. cet.; 
item circulus dicitur dvaxiX- 

X£LV Vel SvV£LV SLU 7C£QLCp£- 

Q£Lug, velut xrjg ZH vel xrjg 
BT cet., 2cp. 42, ls., item 
circumferentia circuli 42, 
13 — 19, item semicirculus 42, 
19 — 22; eodem sensu in scho- 
liis legitur yuxu c. accus., 
ubi vide. — 8l iviuvxov, Slu 
r)iLL6ovg £vluvxov, Sid nXUo- 
vog xqovov (vel Sid nX^Lovog) 
r)iLL6ovg ivLuvxov, 8l' iXdxxo- 
vog cet.: vide ivLccvxog-, vel 
brevius 8id nX^Covog 'En.l 60, 
26; 62, 9; 64, 15; 70, 14; dV 
iXdxxovog sive iXu66ovog I 60, 
27; 62, 9; 64, 15; 66, 6s.; 
70, 15, ac similiter passim; 

SlU S£HU7l£VX£ 7t£QLCp0QC0V I 

74, 16; Slu tiX^lovcov rjLL£- 
qcov 2%. 134,27. 30; similiter 
iXu66ovcov 134, 28. 30 s.; 138, 
23; Sl r)iL£Qcov X', Slu nivx£ 
[irjvcov, Slu n£vxuLir]vQv: vide 



haec substantiva; Slu nuvxog 
2cp. 14, 13. 14 (idem quod 
ul£l 12, 13). — xd Slu xrjg 
nQoxu6£cog 'En. II 122, 1 s. ; 
Slu xov nQo xovxov dn^S^C- 
%&r\ 2%. 10, 31; Slu xov /3', 
scil. &£coQr]LLccxog, 2%. 6, 26, 
similiter 6, 27; 8, 28; 14, 27. 
28; 16, 30; 18^ 16 cet. — c. 
accus. Slu xovxo 'En. I 64, 
14; 2%. 110, 30; Sid xu uvxd 
2cp. 28, 2; 42, 16; 'En. II 
108, 18; 2%. 58, 33; 88, 25; 
Slu xo, sequente infinitivo, 
2cp. 4, 20; 'En. I 86, 13; 88, 
3; 2%. 50, 30; 68, 25. 27 cet. 
— Slu xbv oqov 2%. 26, 29, 
Slu xbv (3' oqov 10, 30; Siu 
xo u ollov Y.0CL s', scil. -fraoo- 
QrjiLU, 2%. 4, 28, Slu xb l 8, 
27; 10, 25; similiter 10, 30; 
46, 20; 60, 28 cet.; scholium 
Slu xb &' in contextum co- 
dicis Vaticani irrepsisse de- 
monstravimus p. XL ad 82, 
16. 

8lCCLL£V£LV 2cp. 4, 20; 8lCCLL£- 

vov6tt 4, 16. 
8LULL£XQog circuli 2cp. 20, 9; 
24, 4; 2%. 112, 30 (conf. Xull- 
§dv£Lv); inl Slccll£Xqov 2cp. 
20, 13; SittLi£XQog xrjg 6cpal- 

Qttg 8, 16. YCCXtt 8LttLL£XQOV 

£tvttL vel vnaQ%£Lv dicuntur 
puncta vel circumferentiae 
vel astra: naxd 8lkll£xqov ol 
noXoL 2%. 18, 21; r) v.ccxd 

8LttLL£XQOV, SCil. n£QLCp£Q£LCC, 

'En.ll 108, 8. 23; 110, 2, r) 

Y.UXU 8lULL£XQOV CCVxfj 108, 21. 

22 s.; xb Y.ccxd 8lull£xqov, scil. 
Sco8£Y.ttxrjLLOQLOv xov ^coSlcc- 
y.ov, 106, 20; Yttxu Slull^xqov 
i6XL xb H xco A I 86, 14 s.; 
similiter 88, 7 s.; II 116, 19 s.; 
124, 5; 136, 2; 140, 1; 142, 
13* 



196 



SlCCnOQ£V£6&C4L — SvVCCTOS 



9; 146, 1; 148, 7; 150, 13; 
154, 3; 156, 5; 158, 13; 2%. 
18, 19 s. 23; 108, 24; 126, 

15; CC6TQOC TCC XOCTCC SlCC(1£TQOV 

ovtcc 'En. I 62, 16, item 
omisso tcc 72, 9; 96, 3 s. ; ro 

VLOCTOC SlCX(1£TQOV OCVTCO TO T 

I 62, 18; similiter 72, 11 s.; 

96, 5; 2%. 122, 24. 27; item 

omisso ccvtco 'En. II 140, 14 s.; 

158, 18. 
dLccnoQEvsGQ-cci dicitur punc- 

tum (2cp. 10, 18. 22 s. 24; 

12, 1 s.) vel sol (reliquis locis) 

circumferentiam aliquam cir- 

culi, his formis: diccnoQSvsTcci 

2cp. 10, 23. 24; 12, 2; 'En. 

I 58, 14; 64, 8; 70, 7 cet.; 

2%. 56, 27. 30 cet.; 8icctioqsv- 

rjTcci 'En. I 56, 14; 90, 13; 

100, 4. 15. 28; 102, 3 cet.; 

diccnoQSvso&co 2cp. 10, 18; 

dt,ccnoQSvo(i£vov 'En. I 50, 21; 

52, 17; 60, 16. 19 cet.; 2%. 

64, 30 cet.; rr)v s%r\s vvktcc 

diocnoQSVofisvov tov jjXiov 2%. 

116, 21. Conf. Slsq%s6&ccl et 

Sllsvccl. 
dicc6T7]iicc: diccOTrjficcTi too Ad 

■x.v%Xos ysyQcccp&co 2cp. 18, 10 s. ; 

similiter 2%. 24, 22 (conf. 

noXos)] xb ccno xov 167][isql- 

vov snl tov Poqslov nolov 

dL0C6Tr\iLcc 2%. 114, 26 s. 
#tag)do<os2;£.150,21;p.LXIV 

adnot. ad 150, 33. 
dLdovccL: do&sfacc nsQLcpsQSLOC 

'En. I 96, 19. 
StdvLLOL, signum zodiaci, 2%. 

128, 21. 23. 25. 
disi-SQXS^&ccL dicuntur 

puncta circumferentiam ali- 

quam, his formis: 8ls£,sq%stul 

2cp. 2, 5; 6, 9. 18; 10, 11; 

dLs£r)l&sv 2,9; Sis&l&y 2,7. 
6LSQ%s6d-ccL dicitur punctum 



(2cp. 30, 16 s. 18. 19; 38, 
4 — 16; 40, 4) vel sol (reliquis 
locis) circumferentiam ali- 
quam, his formis: Slsq%stccl 
'En. I 76, 10. 13; II 120, 25; 
128, 1; 136, 16. 22; 138, 4; 
144, 7; 146, 20; 154, 13; 156, 
22; 2%. 76, 26; 82, 31; 90, 
21; 136, 27; p. XLIl, XLVII, 
LXIV adnot. ad 96, 20; 122, 
10; 146, 31; 3lsq%s6&co 'En. 
1 68, 1; 70, 3; II 118, 3; 
8ls Q%6iisvog II, 120, 7; Slsq%o- 
(isvov 150, 18; 152, 5; 2%. 
58, 29. 31. 32 cet.; §ls1&cov 
'En. II 122, 2. 5; 2%. 58, 26; 
dLsl&ovToq 'En. I 52, 2. 19; 
66, 19; 68, 24; 104, 5; SlsX- 
&6v 2tp. 30, 17. 18. 19; 38, 
5. 6. 14. 16; 40, 4; 8lsXsv6S- 
tccl 38, 4,-^'En. I 100, 5. 15. 
29 cet. — r) TK (nsQLcpsQSLcc) 

CpOclvSTCCL dLSQ%OflSVJ] 2%. 96, 

29. Conf. diccnoQ£v£6&cci et 

8LL£VCCL. 

8ll£vccl verbum synony num 
priori: 8l£L6lv II 122, 10; 140, 
24; 2%. 76, 29; 8ll£vccl 90, 
22; Sllcov 76, 28; Sllovtos 
154, 29; 8Lr]£L 76, 27. — (n£QL- 

CpSQSLOc) 8LLOV6CC TO CpCCVSQOV 

r)^L6cpccLQiov 2%. 96, 30 s. 
8lo 2%. 20, 30; 84, 23. 30. 
Slotl 2%. 10, 26. 
Sl's 2cp. 36, 4. 11; 40, 7. 9. 
8i%cc 2tp. 16, 7; 20, 8; 24, 4; 

42, 27; 44, 2. 9; 'En. II 108, 

6; 114, 2; 142, 11; 148, 9; 

156, 6. 
8l%oto(iloc semicirculi 2%. 20, 

30; 90, 25. 
Svslv: vide Svvslv. 
Svvccx6s'ciXX' sl Svvcctov, scil. 

S6Tiv, 2cp. 8, 9; 22, 23; 44, 

29; Svvcctov yccQ 2%. 30, 

23. 



Svvslv 



Svi 



197 



Svvsiv (vel Sveg&ul) dicun- 
tur puncta Zcp. 12, 12. 21; 
14, 6. 9. 12. 19. 26 cet., vel 
circulus Zcp. 42, 2 (conf. Sv- 
oig)-, Z%. 16, 27—29, vel se- 
nricirculus Zcp. 42, 19—22, 
vel circumferentia Zcp. 42, 
13 — 19; 'En. II 106, 18 s.; 
108, 7 s. 19—23; 110, 1 s. 19 s. 
cet., vel sol 'En. I 48, 11. 13; 
50, ls. 3s.; 54, 1. 5. 18. 22 
cet. , vel astra Zcp. 34, 15; 
'En. I 48, 10. 19; 50, 4; 52, 
12. 15—19; 54, 22—26 cet., 
vel gcpdiov 'En. II 110, 5 s. — 
Formae verbi occurrunt hae : 
Svvel Zcp. 14, 26; 16, 5; 32, 
10; 34, 9. 12. 13. 14 cet.; 
'En. I 62, 17; 64, 13. 14; 66, 
10; 68, 10. 22 cet.; Z%. 16, 
29 cet,; Svvovglv Z%. 86, 16; 
dvvrj 'En. 1 48, 10; 62, 20; 
100,' 14; 102, 2; 104, 23; 106, 
10; Svvsrco Zcp. 34, 15; 'En. 

I 52, 12; 54, 19; 60, 6 cet.; 
Svvcov 58, 3; 60, 10; Svvov- 
rog 54, 1. 5. 18. 22cet.; Sv- 
vovn 48, 11. 13; Svvovou II 
108,8. 19. 20; 110, 2. 20cet.; 
Z%. 108, 28. 32; 110, 31 cet.; 
Svvovarjg 'En. II 108, 23; Z%. 
110, 23; Svvov 'En. I 48, 19; 
50, 4; 52, 16. 18. 19; 54, 
23. 25. 26 cet.; II 106, 21; 
110, 6 cet.; Z%. 50, 23; 52, 
30, 31 cet.; Svofisvov 'En. II 
106, 19 (at Svvov 106, 21); 
118, 26. 29; 150, 19 (at Sv- 
vov 152, 7); Svvousvov (sic) 
Z%. 122, 20; Svvovrog 'En. t 
60, 10; 62, 18 cet.; Z%. 64, 
16. 20; 66, 24. 25 cet; Sv- 
vovn En. I 66, 16; Svvovru 

II 134, 11; 146, 26; 1£8, 3; 
sSvvs Z%. 76, 28; Svvui 'En. 
I 50, 2. 4; Z%. 80, 21; Svas- 



rai Zcp. 12, 12. 21; 14, 6. 9. 
12. 19. 26; 16, 10. 15; 22, 2; 
42, 2; 'En. I 72, 14; 76, 11 
cet.; II 116, 17 cet,; Z%. 76, 
30; 82, 30. 

Svo Zcp. 16, 21; 18, 4; 28, 5; 
32, 3 cet.; 'En.Il 132, 11. 17. 
20; 138, 16; 156, 23; gen. 
Svo 'En. I 92, 14; dat. SvaCv 
Z%. 28, 32. 

Svaig: noistaftai rr]v Svaiv 
dicitur circulus Zcp. 22, 23— 25 ; 
24, 16. 18, idem noisiv rr)v 
Svaiv Z%. 22, 30 s.; noiELO&ai 
rag SvasLg dicuntur circuli 
Zcp. 22, 9. 21. 22; 24, 20, vel 
circulus Zcp. 42, 24 s., item 
astra Svolv vel Svasig noiSL- 
o&ai 'En. I 60, 24 s. ; 68, 6. 
8 cet. Conf. noLslv. — Svoig, 
scil. rov riXCov, 'En. II 108, 
3; snl Svglv rr]v V 108, 4; 
rov A {aoroov) nqbg rfj Svosi 
bvrog I 66, 10; to snl rfjg 
Svoscog {aarqov) Z%. 126, 21, 
item to sv rij Svgsl 126, 25; 
v.ara -rag Svosig: vide %ara. 
— snirolal rs v.al Svosig 'En. 
I 48, 5; nsqi snLrolcov ual 
Svgscov: vide AvroXvnog. — 
alri&Lvri, sonsqCa, scoa, cpaLvo- 
fisvrj SvoLg: vide baec ad- 
iectiva et cpaivso&ai. — Conf. 
Svofir], avaroXrj, snLroXr\, item 
verba avarsXXsLv cet. 

Svofirj solis vel astrorum: 
nqog SvGybaig 'En. II 150, 7; 
dno Svoficov Z%. 84, 27 ; dno 
Svg^cov snl dvaroXag 126, 
31 s.; 128, 19; cbg dno dva- 
roXfig snl Svopdg 126, 17; 
dno dvaroXcov snl Svoudg 
128, 25; snl rcov Svoacov 
128, 20. 

SvrLv.d usqrj 'En. I 50, 12; 
(sGrco) SvrLKU {usqr}) rd BT 



198 



8coSsv.a — slvai 



2cp. 42, 1; 8vtiv.cc rd nQog 

rco r 2%. 152, 27. 
dcodencc 'En. II 110, 4. 
d cod snarrjfio qlov zodiaci 

'En. I 106, 18; II 110, 10; 2%. 

106, 23 ; dcodsKccrrjfiOQLOv nsQL- 

cpsQSLCc 'En. II 110, 8. 
dcodsvarov zodiaci 2%. 106, 

24, rr)g rov navrbg nsQLcpOQag 

106, 25. 

'Edv: vide sl. 

sccvrov 2%. 16, 26; savrrjg 
2cp. 2, 12; 4, 2; 6, 7. 11; 10, 

^IO; 12, 11. 19. 

syyC^SLv: iyyCasL 2%. 78, 24. 

syyvg c. gen. 2%. 84, 22; 
syyvrsQco c. gen. 90, 27, idem 
sine casu 78, 28; syyLOv c. 
gen. 2cp. 32, 20; r) syyiov, 
scil. sv&slcc, 24, 13; syyiara 
'En. I 72, 27; 74, 9. 19. 22; 
76, 1. 9. 18. 21; 2%. 114, 30. 

iyco: r\\iLV 2%. 126, 31; r)\iag 
16, 31; 114, 27. 

i&sXsiv: s&slrjg 2%. 106, 25. 

sl c. indic. praes. Zcp. 10, 21; 
20, 3; 44, 17; 'En. I 74, 10; 
76, 10 (conf. p. XXXIX ad- 
not. ad 74, 11. 12); 2%. 16, 
25; dXX' sl dvvarov 2cp. 8, 9; 
22, 23; 44, 29; sl ds fir) 
dLSQ%srccL cet. 'Eit. I 76, 13 
(in simili demonstratione 74, 
13 snsC legitur). — c. indic. 
fut. Zcp. 14, 5; 32, 2; Z%. 
22, 30. — c. imperf. 2%. 76, 
26; 78, 27; 80, 23; 84, 21; 
92, 24. 27. — c. coniunct. 2%. 
26, 18. — c. optat. S%. 116, 
30. — sccv Ecp. 2, 6. 12; 4, 
12; 6, 7; 10, 10; 12, 8; 14, 
16; 16, 19 cet.; 'Ert. II 108, 
12; 134, 2; 138, 8; 142, 1; 
144, 9 cet.; 2%. 24, 22; 26, 
19 cet.; &v (i. e. sccv) 70, 30; 



ccv rs — SLr\ — ccv rs vitSQ- 
7iL7trrj — av rs slarrcov r\ 
128, '29 s.; vcav 70, 27. 

sUorcog 2%. 80, 33; 144, 21; 
150, 24. 

slvaL dicitur sol ad astrum 
aliquod: 6 r)liog cov nQog rco 
A 'En. I 72, 13 s.; rov r)lCov 
ovrog nQog rco E 'En. I 52, 4. 
22; 2%. 58, 20, ac similiter 
passim. — rov A aarQOv nQog 
rjj dvasL ovrog 'En. I 66, 10. 
— rov d aarQOv r) alrj&ivrj 
sariv scpa dvatoXrj 'En. I 50, 
15 s.; similiter 52, 5 s. 8 s. 
12 s. 23 s. 26 s. cet.; rcp A 
aarQco alrj&LViq satLv scoa snL- 
rolr\ 76, 6 s. (sed paulo post 
76, 12 rov d cet., et sic etiam 
posthac genitivus et dativus 
promiscue ponuntur) ; saraL 
rco z/ aarQcp dno sansQiag 
cpaivofisvrjg snLrolfjg — sans- 
QCa cpaLvofisvr) dvaig 72, 21 s. 
(conf. yCyvsa&aL et noLstv 
med.). — rb AET r)[iLV.vY.7.LOV 
saraL rb ®NK 'En. I 66, 12 s. ; 
r) AE nsQicpsQSLa sataL r) ®N 
66, 14. Conf. ScpaQfiogsLV. — 
Formae verbi occurrunt hae: 
sarLv vel sarCv vel sarC 2cp. 
2, 14; 4, 4. 26; 6, 3; 8, 6. 
14. 16 cet.; 'En. I 48, 7. 15 
cet.; slaC vel slglv 2cp. 6, 2; 
8, 4 cet.; 'En. I 50, 7. 9 cet.; 
r) 2cp. 22, 6; 42, 28; 'En. I 
86, 1; 2%. 16, 32; 26, 18; si'-q 
2%. 126, 26; 128, 29; sarco 
2cp. 2, 17 (bis); 4, 12; 6, 24; 
8, 1 cet.; 'En. I 50, 10. 12 
cet.; sarcoaav 2cp. 6, 13. 21; 
10, 16 cet.; 'En. I 62, 13; 66, 
8; 72, 6 cet.; slvai 'En. I 82, 
9; 86, 5; 88, 3 cet; 2%. 26, 
17; 68, 27; 74, 27; 114, 18. 
19 cei; cov 2cp. 12, 9. 16; 16, 



ELQ — EV 



199 



20; 18, 2 cet.; ovxog 'En. I 
52, 4. 22 cet.; Z X . 58, 20 
cet.; bvxsg Zcp. 6, 1; 22, 7. 
16; ov6u Zcp. 4, 19; 26, 13; 
ov6ccv 'En. I 96, 18; 122, 3; 
bvxog, scil. xov A (u6xqov), 
'En. I 66, 10; bvxu: vide 
dLUfiEXQog; bvxcov 'En. I 84, 
13; r)v Z X . 126, 25; s6xul Zcp. 
16, 23; 18, 6 (bis); 36, 4. 11. 
14; 40, 7. 9; 42, 29; 'En. I 
62, 19. 22; 66, 11. 13 (bis). 
14 cet.; Z X . 28, 19; 62, 29 
cet.; hstca (sic) Z X . 22, 31; 
eeovtUL Zcp. 4, 21; 22, 10; 
Z X . 82, 28. 29 cet. 
stg Zcp. 4, 14; 'En. I 54, 7. 
24; 82, 21; 2fr. 122, 34; 152, 
19; sig uvl6u ts\ivs6^uL Zcp. 

20, 18 s.; 24, 9; slg tu svuv- 
xla 'En. II 108, 4; 114, 4; slg 
xb l|ijs Z X . 134, 28 s. 

slg: svog (kvhXov) Zcp. 30, 12; 
svbg £cpSCov 'En. II 122, 3. 9, 
item omisso £cpSCov 112, 15; 
sv dcodsKatrjfioQLOv 106, 18; 

SV [ILU nSQLCpOQU Zcp. 36, 3. 

10; 40, 8; sv (ilu vvntC Z X . 
94, 20. 22; 140, 31. 
slta 'En. II 138, 12. 13; 144, 
13 (bis); 152, 12. 13; 158, 2; 
Z X . 80, 30.^ 34; 126, 18; 128, 

21. Conf. snsLtu. 

ey. noXov: vide noXog; s£ bXcov 
nsQLcpoQcov v.ai xexuqxov 'En. 
I 74, 18; eg ctQxng Zcp. 40, 6. 

sy.u6xoq Zcp. 26, 6; p. XXIX 
adnot. ad 26, 7; sv,u6xov xcov 
dnXuvcov u6tQtov: vide dnXa- 
vr)g; %y.u6xov xcov snl xov 
£cpdLav.ov xsxuy^isvcov a6XQcov 
'En. II 118, 14 s.; SY.u6xr\g 
vvy.tog et y.u&' sY.u6tr\v vvntu; 
vide vv£. 

snutEQog Zcp. 2, 9; 8, 14; 
16, 8; 26, 7. 12. 14; 36, 14; 



42, 29; 44, 5; 46, 2. 17. 18 
'En. I 92, 2. 3. 10 (bis). 11 
94, 1. 2. 4 (bis); Z X . 26, 31 
62, 87. 

sy.$uXXslv , producere rectam 
lineam (4, 23) vel planum: 
SY.§s§Xr}tUL Zcp. 4,23; E*§s$Xr\- 
6&co 4, 10; 6, 22. 

SY.SL Z X . 152, 22. 

EKsivog: EY.SLV0 Z X . 66, 29; 
s-aelvu 'En. I 76, 23; II 112, 
19; 132, 5; 134, 4; 138, 10; 
142, 2; 144, 11; 146, 24; 150, 
2; 152, 11; 154, 20; 156, 28; 
SY.ELvcov 122, 12. 14; 128, 6. 
9; SY.sCvoLg 138, 8. 

SY.nsQLSQ X E6% , ui: 6 t}Xloq 

EYnEQLEX&COV (nSQLCpEQSLUV) 

'En. II 116, 10; similiter 
118, 12. 

SYcpsvysLv dicuntur astra so- 
lis radios (conf. uvyr]), his 
formis: sncpsvys i 'En. I 84, 5. 
8; 92, 4; EYcpsvystco I 52, 21; 
78, 9; 82, 14; SY.cpsvysLV I 
52, 3. 20; 66, 20; 70, 1; 84, 
18; 86, 14; II 108, 11; 112, 
8; Z X . 68, 25; s Ycpsvyov 'En. 
I 74, 17; SKcpsvyovtu I 64, 4; 

^scpsvys Z X/ 84, 21. 

sXXsinsLv: sXXsCns l scp ' bXuig 

nSQLCpOQULg KUL [lOQLOV ti nsQL- 

cpoQag 'En. I 74, 13 s.; to sX- 
Islnov Z X . 74, 28. 

s'iinuXLv: b gcpdiuv.bg xr)v 
SfinuXiv &s6lv s^el Z x . 62, 
27 s.; 98, 26 s.; 102, 25 s. 

sfxnCntELv: tu Z H (u6tQu) 
upu Eixnintsi slg xug xov 
rjXCov uvyug 'En. I 82, 20 s. 

sv xrj 6cpuCQu. Zcp. 4, 18, sv 
6cpuCQU 6, 1; sv xco vnsQ yr\v 
vel vnb yfjv: vide yiy; iv 
Y.66ficp 'En. I 50, 10; 56, 22; 
60, 3; 62, 1 cet.; sv xcp i'6cp 
X q6vco Zcp. 6, 9. 17, item ar- 



200 



ivccvxiog — ensa&ai 



ticulo oraisso 'En. I 64, 4, ac 
similiter aliis locis (conf. %qo- 
vog); iv cp, scil. %qovco, Zcp. 
2, 8; iv co, quoad, dum, 'En. 
I 96, 20 ; 2%. 146, 29. 30; 
item iv oeco Z%. 56, 27; 62, 
27; 86, 16;' 96, 28; 122, 21 
cet. ; iv r)ui6SL ivLccvxov I 64, 
9 cet. (conf. ivLccvxog). 

ivavxCog: sig xcc ivavxicc xcp 
^cpdLUKcp 'En. II 108, 4 s.'j 
eadem structura pro xcov £<x>- 
Sicov restituenda esse videtur 
114, 4; XT[V ivavxiav 2%. 
80, 31. 

svSsncc 'En. Hll2, 1. 16. 

ivdivscj&aL: (aaxQa) ivSs%s- 
xat ocpftr\vaL cpSQopsva 'En. I 
94, 9 s. 18; similiter 96, 14 s. 
16 s. 

ivLavxo g, b,yiyvsTccLTcp r)Xico 

if- oXcOV nSQlCpOQGOV %ttl TSTCCQ- 

xov 'En. I 74, 17 s. ; x%s vv%ftr\- 

USQCOV SLVttL XOV ivLttVXQV Y.CCL 

xsxccqxov 2%. 74, 27 s. (et conf. 
76, 26 — 30); iviccvxov naQsl- 
frovxog 2%. 119, 4; Sl' ivLttv- 
xov 'En. I 72, 26; 74, 8. 12. 
20. 22; II 114, 12. 17; 116, 
12s.; 118, 12; 2%. 114, 30; 
Sia r}UL6ovg iviavxov 'En. I 
60, 25; 62, 8; 64, 11 s.; 70, 
13. 26s.; ? 76, 1. 8 s. 13. ? 17. 
20 s.; iv i]UL6Si ivLccvxov 'En. 
I 64, 9; 2%. 64, 23; iv xcp 
7JUL6SL xov ivLccvxov 2%. 76, 
27; Slcc nXsiovog %qovov r)ui- 
6ovg iviccvxov 'En. 1 102, 10 s. 
22, item omisso %qovov 66, 6; 
68, 6, vel brevius etiam Sicc 
nXsLOVog: vide Slcc; (%Qovog) 
iXcc66cov r)uL6ovg ivLccvxov 'En. 
I 56, 21; 58, 14; 60, 2. 21; 
Si' iXdxxovog (sive iXa.66ovog) 
%qovov r)(iL60vg iviccvxov 'En. 
I 70, 10; 96, 23 s.; 98, 9 s., 




ltem omisso %qovov 68, 8 s., 
vel brevius etiam Sl' iXccx- 
xovog: vide Slcc; iv iXcc660VL 
%q6vco r)iiL6ovg iviavxov 'En. 
I 70, 8; (nsQLcpSQSLcc) usi r Qcov 
r)iLL60vg ivLccvxov 2%. 68, 31 
(conf. LLr]v). 
svxccv&tt 2%. 132, 28; 134, 

27 ', 
ivxbg nsvxccLLrjvov 2%. 116, 

23. 

sg £coSlcc 'En. II 112, 2. 13. 

14; ?' gcoSicov (nsQLcpsQSicc) 

2%. 114, i9. 

i^SLVttL: i$S6XCCL p. XXXIII 

adnot. ad 40, 7. 

s£,r)g: xfj i^ijg vvnxi 'En. II 
116, 3; xr\v s£,r)g vvktcc 2%. 
116, 21; yiccl st-fjg buoicog 
nccvxcc 128, 21; iv xovxcp xs 
Httl xco st-fjg 134, 31 s. ; sig 
xb s!-r)g 134, 28 s.; iv xotg 
§&js 116, 26. 

insi 2cp. 8, 3; 24, 1; 26, 3; 
32, 26; 34, 20; 42, 7; 44, 19 
cet. ; tlccI insi 2cp. 8, 14; 16, 
5; 36, 14; 46, 3; 'En. I 52, 
6. 24; 54, 12. 29 cet.; insl 
ovv 2cp. 30, 10; insi yccQ 34, 
17; 2%. 18, 17; nccXiv insi 
2%. 18, 25. 

insLSf] 2%. 18, 25; 20, 28; 
34, 30; 50, 24; 52, 29; 54, 

? 30; 56, 28; 58, 26. 35 cet. 

insLSrjnsQ 2cp. 4, 22; 'En. I 
64, 9; 78, 19; 80, 7. 

snsLxa'En. II 138, 11; 158, 
1. Conf. slxcc. 

inst-LSVccL: insf-icofisv 2%.12b, 
19. 23. 

sns6&ttL: 6 xccvQog xco kqlco 
snottsvog 2%. 128, 23; simi- 
liter snousvoL 128, 24; xb 
snousvov, scil. £coSlov, 'En. 
11110,5; xb (cc6xqov) i6x\v 
snousvov 2%. 110, 32; xb 



I: 



201 



snousvov, scil. u6xqov , 110, 
2-4; 126, 28; -auxu xu sno- 
usvu rjpiiHVKlici 126, 28; v.axu 
xu sn6(isvu 126, 29. 30; slg 
xu sn6(isvu 181 ; (£c68lu) eaxiv 
snousvu 128, 22; snbfisvu 
s6xl xu dnb 8v6scov cet., scil. 
u6xqu, 152, 29; 6vv8v6Sxul 

XCO M (u6XQCo) XCOV SnOflSVCQV 

xi xcl ® "En. II 116, 17 s.; 

XCOV SnO(lSVCOV Xiv\ XCp Z/ U6XQC0 

xb H 6vv8v6sxui II 124, 3 s.'; 
similiter 128, 14 s.; 134, 21 s.; 
152, 17—154, 1; 156, 3. Conf. 
rjysi6&ui et nQorjysfc&ui. — 
snousvr\v p. L — LIII adnot. 
ad 138, 11; 144, 12; 152, 11. 
snC xivog yQU(i(ir)g Scp, 2, 6; 
snX Sluusxqov — X(ir)(tu %v- 
%Xov oq&ov scps6xr\v.sv 20, 
13—16 (reliquos locos vide 
sub xfirjfiu); xb E 6r\(isCov snl 
xov ui-ovog S6XLV 44, 15 s. ; 
similiter 44, 17. 25 s.; 46, 2 s.; 
06u (ir) S6xlv snl xov u^ovog 
2, 14; 4, 4s. 26; 6, 3 s. cet.; 
snl xrjg snicpuvsCag xrjg 6cpuC- 
gug 2, 13; 4, 3. 25; 6, 2 s. 
cet. — (xb u6xqov) snX xrjg 
KZQ S6xl nsQLcpsQsCug 'En. 
I 66, 16; similiter 68, 20; 92, 
7 s. cet.; dvuxoXr\ xov r)XCov 
s6xco inX xov A, Sv6ig Ss inX 
xov r II 108, 2 s.; s6xco 6 
rjXiog inX xov Z II 112, 6 s., 
ac similiter posthac; inX xov 
£o)8iukov esse dicuntur astra 
l'60, 23 s.; 62, 5; 66, 3 cet., 
item sni xov xcov £cpSCcov %v- 
hXov 62, 15. — inX xr)g oq- 
&r)g ecpuCQug 2%. 14, 30; 26, 
19; inX xr)g (ivXosi8ovg HLvr\- 
6Scog 12, 23; inX xfjg v.u&' 
r)uug oUr\6scog 16, 31; snl 
xr t g xov v.vvbg inLXoXr)g 48, 
21, ac similiter posthac; inX 



xrjg SsvzsQug HuxuyQUcprjg Hcp . 
8, 24 s.; inX xovSs xov &scoQr\- 
fiuxog Z%. 26, 15 s. — c. dat. 
iXXsCnsL icp' oXuig nsQLcpoQuig 
HUL flOQLOV xl nsQicpoQug 'En. 
I 74, 13 s. — c. accus. (fy&co) 
inX xr)v AB sv&siav nu&sxog 
Scp. 4, 9 s. ; punctum dicitur 
pervenire inX xb E 6r,asiov 
Zcp. 8, 10; similiter 8, 11. 12 
(bis). 15. 18. 19. 20. 21 cet.; 
circnlus dicitur icpuQiiogsLv 
inX xbv 6qC£ovxu Zcp. 28, 16; 
30, 6 , vel nsQLcpsQSLU inX 
nsQLcpsQSLuv 30, 22 s. cet. (conf. 
icpuQ(ib£sLv). — 6 rjXLog nQO- 
xsqov inX xb A nuQuyCyvsxuL 
rjnsQ inX xb E 'En. I 52, 6 s., 
ac similiter passim; idem 
hlvslxul inl xb U 11%. 114, 
21; (6 Y.o6\iog 6XQScpsxuC) inX 
xb r 152, 28, ac similiter 
passim. — xb dnb xov L6r\- 
(isqlvov inX xbv ^oqslov nbXov 
SLU6xr\fiu 21%. 114, 26 s. ; inX 
Sv6lv xr\v r 'En. II 108, 4, 
inX uvuxoXug 2%. 126, 31 s.; 
128, 19. 20 s. 21, ac similiter 
aliis locis (conf. anb) ; [xb r\fii- 
kvkXlov) scpuQfio&Lv snl xrjv 
uvuxoXrjv vel snl xr)v Sv6lv 
'En. I 86, 7s.; snl xu nQog 
(iS6r}[ipQCuv II 122, 14; 140, 
27; Z%. U0, 28; snl xu nQog 
UQHXovg 'En. II 122, 11 s.; 
snl xu nQog uqy.xov rj snl xu 
nQog as6rj(i^QCuv (isQrj 112, 

18 s. (conf. proxima sub cog 
snC). — cog snl xb © hul M 
Z%. 144, 28; ra? snl xu T Z E 
(isQr\ Scp. 30, 9; similiter 30, 
9s.; 'En. I 78, 3; 82, 10 s. 

19 s.; 8Q, 5—7; 2fr. 82, 28. 
— dnb Sv6(icov snl dvuxoXug 
et similia vide sub dno. Voci 
snC synonymum in hoc di- 



202 



ini£svyvvvuL — sonsQiog 



cendi genere occurrit scog 
'En. I 88, 17 coll. 88, 6. 14. 

inL^svyvvvcci, iungere rec- 
tam lineam: pass. em^evyvv- 
Lisvrj 2cp. 8, 15; ine£evv.TccL 
46, 7; ins&vz&a 46, 1; ine- 
£ev%ft<o6ttv 20, 6; 24, 1; 26, 3. 

inLKttTccXccLL^ccvsLv: im- 

HCCTttXttfioVTOS CCVTO (t6 ttGTQOV) 

tov rjXiov 2%. 80, 30. Conf. 
rjXLog. 

ininsdov: ev tco HZK0 em- 
nedco 2cp. 26, 11, iv ev.ccTSQcp 
tcov entnedcov 2%. 26, 31, ac 
similiter aliis locis ; ev tcq tov 
HZ® v.vvlov emnedcp Zcp. 26, 
13; similiter 44, 13. 20. 22; 
2%. 26, 32. 33 s. cet.; infie- 
fiXrjo&co to Slcc tcov noXcov 
tcov A B v.ttl Trjg TA inine- 
Sov 2cp. 4, 10 s., similiter 6, 
22 s.; imneSov nQog inine- 
Sov v.XioLg 2%. 26, 29; ini- 
neSov duo alia inineda nccQ- 
ccXXrjXcc secans 2cp. 28, 5 s. 

iniTeXeiv. pass. iniTeXovvTcci 
2%. 114, 30. 

iniTeXXeiv dicuntur astra, 
velut scpcc iniTeXXei 'En. II 
150, 3, (to E ccgtqov) scoov 
iniTeXXei 150, 11, similiter 
2%. 128, 32; 134, 28 cet.; 
xov T 1 eniTeXXovTog 2%. 64, 
21; saepissime astrum dici- 
tur oqcco&ccl vel qpaiveo&ttL 
inLTeXXov: vide 'En. I 56, 18; 
58, 9. 11 (at vs. 13 ccvccTeX- 
Xov); 2%. 58, 32; 94, 21 ? (at 
eodem versu praecedit ccvcc- 
TeXXov , et sequitur idem vs. 
22); 136, 28 s. cet; p. XLI— 
XLVII adnot. ad 88, 17; 110, 
5; 120, .17; item astra ini- 
TeXXovTcc 'En. II 146, 25; 158, 
3; similiter ScoSev.ccxrjLLOQLov 
xov gcodLunov vel ^coSiov ent- 



TeXXov 'En. II 106, 19. 21: 
110, 5. Conf. ttvccxeXXeiv. — 
intTeXXoiLevov eodem sensu 
semel occurrit 'En. II 120, 
17 (conf. adnot. ad h. 1. 

? p. XLVII). 

iniToXr) ttXrj&ivr], cpccLvoLLSvrj, 
eoneQicc, ecpcc, io%ttTrj: vide 
haec adiectiva et cpcciveG&ccL, 
et conf. avttToXr]', iniToXr)v 
vel iniToXccg noLeio&aL: vide 
noieiv med. ; inLToXcci Te v.ccl 
Svosig 'En. I 48, 5; nsQL inL- 
toXcov v.a.1 Svoecov: vide Av- 
ToXvnog. — inl xrjg tov v.v- 
vbg iniToXrjg 2^. 48, 21; ccel 
tovto eoTccL ivxog nevTttLLr]- 
vov, TOVTeoTL Trjg eoneQiccg 
inLToXrjg 2%. 116, 23 s. 

inLcpccveLtt sphaerae 2cp. 2, 

^13; 4, 3 8. 24. 25; 6, 3 cet. 

enTcc: tcc £' v.Xi[iccTtt 2^. 114,28. 

sqlltjvsv slv: rjQLLrjvevoe 2%. 
119, 6. 

eQxeo&ttL dicitur semicircu- 
lus per punctum aliquod 2qp. 
6, 25; 8, 1. 22, scilicet i^ze- 
o&co 8, 1. 22 (et conf. p. XXV 
adnot. ad 8, 10), iXevoeTcci 
6, 25. — 6 rjXiog eQzeTcci in 
ccvto (to ccgtqov) 2^. 86, 16; 
similiter sX&rj 86, 18; 119, 4; 
154, 27; iX&cov 116, 25. ^ 

eaneQcc: icpuvrj Svvov to E 
eoneQccg 2^. 150, 28; simili- 
ter 150, 29. 32 (multo usita- 
tius hoc sensu est eoneQiov). 

eonsQLog: eoneQicc ccvccxoXrj 
'En. I 48, 11, sive inLToXr] 50, 
1. 8 cet.; 2 X . 116, 23 s.; 120, 
28 cet. ; eonsQicc cpttivofievrj 
inLToXrj 'En. I 56, 19 cet. ; 
similiter 2%. 80, 33 s.; 82, 23; 
eoneQicc Svoig 'En. I 48, 13; 
50, 3. 8 cet.; 2 X . 120, 26 s.; 
122, 23 cet.; rj E® (nsQL- 



E6%UT0g — SCpUQfLO&LV 



203 



CpSQELU) £6nEQLUV 8v6lv (noi- 

sitcii) En. II 110, 12; simili- 
ter 110, 20 s.; {£<p8iov) S6ns- 
qiov dvvov I 110, 6; (u6tqov) 
E67tsQiov sniTslXov E%. 94,21. 

— E671SQLU sniToXrj vel dv6ig, 

Vel E67tSQLUL ETtLTOlUL TS Y.UL 

dv6£ig omissa : vide aXri&ivog. 

S671EQL0L prO E67tSQlUL ill 

libris ms. traditum p. XXXVI, 
XXXIX, XLVIII adnot, ad 
50, 8; 72, 7; 128, 9; item 

E67tSQL0V prO E67tSQLUV J). LI 

ad 144, 13; 146, 19. 
E6%uTog: tov z/ u6tqov r) 
S67tSQLU cpuivofisvrj E6%UTr\ 
ETtLTolri 'En. I 58, 6 s.; r) cpuL- 
vofisvrj s6%UTr\ ianSQiu dv6ig 
60, 13 s.; r) s6nsQiu iniroXr) 
cpuivofisvr} E6%uTr\ 2%. 80, 33 s.; 

S6TUL r) CpULVOfiSVTf] TOV H S67tE- 

qlu uvuToXr) £6%utr\ 2%. 88, 
24 (conf. p 172 adn. 3); 

E67tSQLU E6%UT7] £7tlTOXr\ 2%. 

82, 23; r) £6%UTr\ £6tieqlu cpu- 
cig 'En. I 78, 12. 20 (reli- 
quos locos vide sub cpuctg). 

£6%uTcog 'En. I 50, 2. 4; 54, 
10. 27; 78, 6; 82, 13; 84, 
19; E%. 78, 23; 80, 22. 26. 
29; 86, 19. 

ETSQog Zcp. 42, 22; 2%. 16, 
28; 30, 23. 

etl Scp. 34, 12; En. I 100, 
12; Z%. 54, 30; 58, 23, et 
passim aliis locis; y.ul stl, 
atque etiam, Zcp. 2, 16; 4, 7; 
6, 5; 30, 18; 'En. II 124, 6s.; 
128 ; 16 s.; 136, 1. 3 cet; stl 
8s 'En. II 122, 5; stl 8e xui 
Zcp. 22, 9s. 

sv&siu, scil. yQU{ji[ir\: r) uno 
tov A inl to B' ini£svyvv- 
fisvr\ ev&elu Zcp. 8, 15 s., vel 
brevius r\ uno tov H inl to 
B E%. 26, 23; similiter 26, 



24=;r)AB ev&elu Scp. 2, 17; 4, 
9. 13. 17, vel r) AB, omisso sv- 
&£lu, 4, 23, ac similiter passim ; 
vno tcov nQog OQftug tf) kolvjj 
TOfir) uyofiivcov, scil. ev&elcov, 
Z%. 26, 30 s.j sv&elul duae, 
communes trium planorum 
sectiones eaeque parallelae, 
Zcp. 28, 6 s.; ul iv. tcov noXcov 
utJA rE l6ul sl6lZ%. 18, 25. 
EvY.Xsidrjg: diu tov lS' tov 
lu EvkXelSov Z%. 14, 28, 
item diu tov ls' 28, 38, Slu 
tov l&' 26, 28; iv tco l tcov 
y.vkXlkgov, i. e. in theoremate 
X libri IJI elementorum, 32, 
28; 8lu tov Ly' tcov cpuivo- 
iisvcov 108, 34; iv tgj id' &sco- 

Q7\flUTL nSQL TCOV (fULVOflEVCOV 

96, 32. 

EVQL6Y.ELV: bnov UV EVQE&i} 
6 ijXLog 2%. 150, 30. 

svcovvfiog 2%. 126, 24. 

icpunTE^&UL dicitur nvY.Xog 
Y.vY.Xov vel yvyIcov, his formis : 
icpunTETUL 2cp. 18, 15 ; 40,16. 29 
(conf. unTE6&aL)', E%. 20, 28; 
36, 15. 16; icpunT£6d-co Scp. 
40, 23; scpunTOfisvog Zcp. 30, 
4; 'En. I 82, 8; icpunToiisvoL 
Zcp. 28, 14; 30, 12; 'En. I 86, 
3; icputpsTUL Zcp. 16, 21; 18, 
4; 24, 23; icpuipovTUL Z%.\8, 
28. — ot Tcav uvtcov icpunTo- 

flEVOL fl£yL6T0L Y.VY.X0L, COV Y.UL 

b 6ql£(ov unTETUt 27<p.28, 14 s.; 
cov (y.vy.Xcov) icpunTETUL 6 ABV 
6ql\cov Zcp. 30, 3. 

icpUQlLO^ELV : icpUQfl06EL 6 

dBE v.vv.Xog ini tov ABV 
y.vy.Xov Zcp. 32, 5 s. ; similiter 
32, ls. 3; 38 v 8 s. 17 s.; (pl 
hvy.Xol) icpUQfi060V6LV inl TOV 
oql^ovtu Zcp. 28, 16; simili- 
ter icpuQfi06EL 30, 6; icpuQ- 
fio6£L r) JZE nsQLCpEQSiu inl 



204 



ecpei-rjg — ^op8iuv.6g 



xr\v AHA 2op. 30, 22 s.; simi- 
liter 38, 7 s. 16 s.; xb (iev HE 
r\(iLv.vv.Xiov ecpuQ(i6£eiv enl 
xr)v uvuxoXr\v, xo 8e ©A enl 
xr)v 8vglv 'En. I 86, 7 s. 

e^pe^rjg 2%. 154, 27. 

ecpioxccvy animum advertere 
ad rem, attente considerare: 
xolg ecpioxcooi 2%. 26, 25. 

ecpLGxdvui: perf. intrans. eope- 
Gxr\v.ev 2op. 20, 5; 24,8; ecpe- 
Gxooxog 20, 17; 24, 8. 

e%eiv. (v.vv.Xovg) xovg uvxovg 
noXovg e%ovxug xf\ ccpccLQU cet. 
2cp. 2, 15 s.; 4, 5 — 7. 27 s.; 
6, 4 — 6; xbv uvxbv et,ei Xoyov 
o xe %QOvog cet. 2cp.2, 7 — 10; 
(xb rj{ii%v7tXiov) e%exoo &eGLv 
oog xr)v A.EZB 2cp. 8, 3; b 
BdTQ %vvlog Q-eGLV e&L r]y 
el%ev e£ uQ%rjg 40, 6; simili- 
ter in eodem dicendi genere 
occurrunt formae e%eL 'En. I 
100, 1 cet.; 2%. 90, 27 cet.; 
e%exoo 'En. I 50, 11, 56, 23; 
62, 2; 70, 17 cet.; Z%. 64, 
17; 90, 25; e&L 'En. I 66, 12; 
68, 13 ;^ 2%. 62, 28 ;^ 90, 24 
cet. ; (to ugxqov) vqvi^lv ov% 
e&L 'En. II 148, 5 (qui locus 
spurius esse videtur). — se 
"hdbere: oog i%si enl xr)g 8ev- 
xeQug v.uxuyQUcpr)g 2cp. 8, 24 s. ; 
oog vvv e%eL b xoov ^ooSloov 
xvnXog fteoecog 'En. I 92, 5 s.; 
oog k'%ei fteGeoog 6 £ooSLUV.6g 
2%. 142, 27; Sei&g' v.uXoog 
e%ovoa 26, 15; nXeov exi e%ei 
evxuvftu xb SeLv.vveiv 134, 27; 
uvunuXLV e%ovoiv ui KQvipeig 
134, 31. — med. (ugxqu) unb 
xf\g eaug uvuxoXrjg e%0(ievr\v 
xr)v eoneQLuv emxoXr)v noLr\oe- 
xul 'En. II 138, 10 s. ; simili- 
ter 144, 11 s.; 152, 11 s. 

eoo&ev: ecpuvr\ avuxeiXav xb 



E eeo&ev 2%. 150, 25; simi- 
liter 150, 26. 31 (multo usi- 
tatius hoc sensu est eopov). 

eopog: eopu enLxoXr) 'En. I 48, 
7. 15; 50, 6 cet.; uXr\&ivr) 
eopu uvuxoXrj 50, 16 cet.; eopu 
uXrj&Lvr) enLxoXf) 2%. 84, 28 
cet. ; eoou cpuLvo(ievr\ enLxoXr) 
'En. I 56, 17 s. cet.; 2%. 58, 
21. 24. 28. 30 cet.; r) AH 
neQLcpeQeiu eopuv uvuxoXrjv 
noLeixuL 'En. II 110, 11 s. ; si- 
militer 110, 14 s. 17 s. 21; 
eopu dvGig I 48, 9. 18; 50, 6 s. 
cet.; (fcopdiov) enixeXXov eopov 
II 110, 5; (ugxqov) eopov Sv- 
vov 2%. 94, 22. — eopuL em- 
xoXui xe v.u\ Svceig omissa: 
vide uXrj&Lvog. — eoooi vel 
eoooL pro eoouL in libris ms. 
traditum p.' XXXVII adnot. 
ad 62, 12. 14. 

eoog c. gen. 2cp. 4, 24; 'En. I 
88, 17; 90, 6; 2%. 70, 28; 
126, 19. 23. Conf. eni c. 
accus. et (ie%Qi, ac vide p. 
XXXVI adnot.^ad 56 ; 18. 19. 
— cpuivexuL Svvov xb E eoog 
xov H 2%. 152, 22. — eoog ov 
c. indic. 2%. 116, 25. — toog 
uv c. coni. 'En. II 116, 10; 
118, 11; 120, 19; item eoog 
ov 2%. 119, 1. 4; 152, 19; 
154, 27; item eoog 116, 28. 

Znxeiv: %r\xeL 2%. 146, 32. 

gopd Luv.bg v.vv.Xog 'En. 1 60, 
24, item omisso v.vvlog I 60, 
3; 62, 5 cet.; 2%. 40, 30; 62, 
27 cet.; xu enl xov £oo8luv.ov 
xexuypevu ugxqu 'En. II 118, 
14 s.; xcc voxlu xov £ooSluv.ov 
II 132, 6; ev xop vv%&rjaeQoo 
nccouv fte6iv e^eL 6 goodLUvog 
2%. 90, 24 (fteGLv e%exoo cet. 
et similia vide sub &eGLg); cog 



gcpSiov — rjXiog 



205 



s%sl frsoscog 6 £cpSiuv,bg 2%. 
142, 27, cbg yslxul 6 £. 130, 
25; 136, 32. 

^coSiov: xd ScoSsv-u £c6Slu 'En. 
II 110, 4; £co8lov uvuxsXXov 
sive inLxsXXov vel Svvov : vide 
haec verba; (^coSlov) iv co 
sgxlv b Tjliog 'En. II 110, 4 s.; 
£coSCov vel svbg gcpSCov nsQL- 
tpsQSia II 108, 5's. 112, 5; 
122, 3. 9 s.^cet. ; 2%. 140, 29 s. ; 
sirniliter svSehu, £'f, nsvxs 
'En. II 112, 1 s. cet.; r\H@ 
(scil. TtSQicpsQSia) gcoSCov iaxCv 
I 92, 13; siniiliter Svo I 92, 
14, g' 2%. 114, 18 s. cet.; r) 
Hd (isC£cov £coSCov iaxCv 158, 
29; ^cpSCov (isC^cov nsQLcpsQSLu 
'Ert. II 156, 27; similiter iXdo- 
acov 2%. 146, 31; 154..24 (conf. 
psyag et /uxjjos); rjpiov £eo- 
8Cov, r)iiCoovg ^coSCov nsQL- 
cpsQSLa cet.: vide^ fjfuavg. — 
6 tcov ^coSCcov xvxios, idem 
quod £&><?mxds, 'Ew. I 62, 15; 
66, 12; 68, 12 s.; 70, 11 a.; 
72, 8 s. cet.; 2#. 88, 19. 25 s.; 
item omisso xvxXog 'En. II 
132, 8 s.; 134, 14; 138, 15; 
142, 5; 144, 16; 148, 1; 150, 
6; 152, 15; 156, 1; 158, 6 s.; 
xb © xb inl xcov ^coSCcov, i. e. 
inl xov xcov gcoSCcov xvxAov, 
2%. 114, 24. 

%covr\ fioQSiog 'En. II 114, 10; 
2%. 114, 26. 

"H 2cp. [2, 5]; 14, 6. 9; 40, 7. 

14. 28; 'Ert. I 96, 19; II 112, 

18; 130, 6; 134, 8. 12; 2%. 

128, 30; 7] — r\ 2%. 90 % 23; 

150, 35. Conf. rjrtSQj rjxoL, 

oyiOLog. 
rjysLa&aL: rjyovfisvov xov 

r)XCov 8co8s-naxr}uoQLOv 'En. II 

110, 9 s.; (xb aaxQov) ovvSv- 



osxaL xcov r)yov(isvcov xlvl xov 
A II 130, 12; similiter 142, 
7s.; xbSs xovSs r\yslxuL 2%. 
126, 19 s., xb rtQoavaxslXsL 
cog r)yov[isvov 116, 22, r)yov- 
(isva (ugxqu) 128, 24, ac si- 
militer aliis locis; StSvfiovg 
rjysLO&UL xov xuvqov 2%. 128, 
25. Conf. srtso&aL et rtQorjyst- 
o&ul. 

rjyisiv: r\%SL Sr\ (6 nvnXog) yul 
Slcc xcov xov ABT noXcov 2cp. 
36, 13; (xd doxQa) dnb xr)g 
sartSQCag Svoscog snl xr)v scouv 
inixoXriv 8l' iXaxxbvcov r\^SL 
rj xqlukovxu r)(iSQcbv 'Ert. II 
134, 11—13; similiter 156, 
28 s. 

r) XLUY.bg: heliacus ortus et 
occasus 2%oXlu 1 et 2 p. 164 s. 

r\Xiog passim in libris nsQL 
irtLxoXcov cum scholiis. — 6 
rjXiog nQO xov J uvuxsXXsl 
2%. 50, 27; xov r)XCov dva- 
xsXXovxog 'Ert. I 50, 14. 19; 
52, 15; 56, 24 cet.; d(iu xco 
r\XCcp dvaxsXXovxL I 48, 8. 9; 
similiter 62, 10 cet.; rtQlv xbv 
r\Xiov uvuxelXul I 48, 16. 18; 
similiter 2%. 78, 26 cet. Conf. 
dvaxsXXsLv et dvaxoXr). — vno- 
hsCg&co 6 r\Xiog Svvcov v.uxu 
xb T 'En. I 58, 3 s.; 60, 10 s., 
xov r\XCov Svyovxog I 54, 1; 
54, 18. 22 s., d(iu xco r)XCco Sv- 
vovxl I 48, 11. 13, (isxd xb xbv 
r\Xtov Svvui I 50, 1 s. 3 s., ac 
similiter passim. Conf. Svvsiv 
et Svatg. — 6 rjXiog noQSvs- 
o&co cbg irtl xu T E A (isqt\ 
'En. I 78, 2 s. ; idem xbv AETZ 
%v%Xov SLartOQSvsxai 174, 10 s., 
vel xb ErZ r)(LLY.vY.XLOv I 64, 
8 s., ac similiter passim; xov 
rjXCov xr)v TZA nsQicpsQSiav 
SiartOQSvofisvov I 50, 20 s., 



206 



r](l8QU 



rj(ii6vg 



xov r)Xiov SisX&ovTog TrjXL-nav- 
xr\v nsQLcpsQSLuv 1 52, 2, ac 
similiter passim. Conf. prae- 
terea de motu solis dcpvavsi- 
6&cu, ylyvsG&ca, S^unoQSvs- 

6&UL, Sl8Q%S6&UL, SlLSVUL, 
iK7ZSQL8Q%£6&ca, Y.LVSLV paSS., 
nUQUyiyVS6%UL, 710QSVS6&UL, 
71QOL8VUL, 71QOY.671TSLV, tpSQSLV 
paSS., Cp&UVSLV. — 6 SVLUVTOg 

yiyvsTUL tg5 r)Xicp i£ oXcov 

TtEQLCpOQCOV Y.UL TSTUQTOV 'En. 

I 74, 17 s. Conf. sviuvTog. — 
(£cp8iov) iv cp i6TLV 6 r]XLog 
'En. II 110, 4 s.; praeterea 
de variis positionibus solis 
conf. uns%s lv, yiyvs6%uL, slvui. 
— svog (£cp8iov) kuts%0[isvov 
tov TE vnb tov r)Xiov 'En. 

II 112, 15 (conf. vluts%slv et 
inuiUTuXuybfiuvsLv); co6ts to 
z/ u6tqov incpsvysiv Tug tov 
r)Xiov uvycig 'En. I 52, 2 s., 
ac similiter passim: conf. uvyr) 
et i-ncpsvysLv. — 6 xov r)Xiov 
xvnXog, id est curriculum solis 
sive zodiacus, 'En. I 50, 11; 
56, 22 s.; 62, 1 s.; 70, 16 s.; 
74, 1 s.; 76, 3 s.; 78, 1 s.; 

? 82, 2; 98, 4 s.; 102, 16 s.^ 
7}[i8Qu: ivT(pTr)gr)iLSQug %qovco 
'En. II 118, 2 s. (conf. %Qovog); 
r)[i8Qug, interdiu, I 96, 7. 11 
(bis); (jlstu TLvug f](isQug I 50, 

22 s. ; 52, 18, similiter 2%.^ 84, 

23 ; (u6TQU) UCpUVL6&SVTU r)(is- 

Qug TLVug Y.UL vvY.Tug 'En. I 
76, 24 s., vel nXsiovug r)(isQug 
ucpuvL6&svTU I 80, 17; simi- 
liter 82, 6 8.; 84,^ 10; Sl' 

7](lEQCOV X' Sive TQLUV.OVTU II 

118, 20. 25 S.; 122, 4. 9; Sicc 
nXsLovcov vel iXuTTovcov (sive 
iXu660vcov) r) tqlukovtu r)(is- 
qcov II 134, 7 s. 12 s.; 138, 
12; 2%. 138, 23, similiter 



134, 27. 30; Tr)v ZH nsQL- 
cpsQSLuv 6 rjXiog SLunoQSV8TUi f 

T0VTS6TL TCig X' fjflSQUg 2%. 

122, 21 s.; 6 rjXiog Tr)v AET 
nsQLcpsQSLUv Slsq%stul iv oXuLg 
r)(iSQULg 'En. I 76, 10 B., si- 
militer 76, 13 s. ; c§ (nqvcov r; 
r)(iSQU 2%. 12, 24. 

r)(iL%v%XLOV 2cp. 4, 13; 8, 22 
cet. ; r)(iiHv%XLOV to ATB 2cp. 
4, 12; 6, 24 s., vel to ATAB 
t)(ilhvhXiov 8, 2 s. 12 s., ac 
similiter passim in libro de 
sphaera, in libris nsQL snL- 
xoXeov (velut 50, 13), in scho- 
liis (velut 20, 30; 52, 29); 
t)(il'kvhXlov to Slu. tcov A T B 
2cp. 8, 22 s.; t6 unb tov d 
r)(iLxvKXLOv '"En. I 82, 10, si- 
militer 82, 10 s. 18—20 cet. 
(conf. uov(inTcoTog)', r)(iLKv- 
uXiov, scil. JtfTtV, r) &NK 
(nsQLcpsQSLu) 'En. I 68, 3 s.; 
similiter 70, 6 cet.; 2%. 18, 
18 s. 19; 28, 22 s.; [isi£eov 
fifiLHvnXiov r) NKO 'En. I 68, 
4. Conf. icpUQ(io£siv. 

r)(iL6vg: (%QOVog) iXu66cov r)(ii- 
60vg ivLuvTov 'En. I 56, 21; 
58, 14; 60, 2. 21 cet.; (nsQL- 
cpsQSiu) (xsi£eov r)(ii6ovg ivL- 
uvtov 2%. 102, 32 s., item 
additis verbis cbg r)(ii6ovg 
fl(iiHVX,Xiov (isi£cav 2%. 68, 
31 s.; iv r)(ii6SL ivLUVTOv 'En. 
I 64, 9; 2%. 64, 32; to fj(ii6v 
tov %v%Xov iv TCp r)(li6SL TOV 
ivLUVTOv Sllcov 2%. 76, 27 s.; 
to r\(iL6v tcov t£s' (nsQLcpoocov) 
2%. 76, 30 s. — rj(ii6ovg £cp- 
Siov nsQLcpSQSLU 'En. II 108, 
13 s.; 116, 6s. 19 s.; 118, 5 s. 
cet; 2%. 128, 29; 140, 20 cet.; 
r) N® r)(ii60vg i6TL ^coSiov 
'En. II li6, 6; similiter 142, 
20; 2%. 114, 18; 138, 21 cet.; 



7](ll6CpCCLQlOV frscOQrjUa 



207 



rjfiiav ^codCov fj @N 'En. II 
116, 1 (conf. p. XLVl ad h. 1.); 

7](IL0V \cpdCoV dnS X 8LV II 108, 

12 s.; 2 X . 150, 25, iteni s\ax- 
xov 7](iCaovg £codCov 'En. II 
134, 3 s. (conf. dns X SLv); dvd 
7][iL6v ^cpdiov 'En. I 92, 12; 

V7CSQ 7]UL0V £cpdC0V 2%. 110, 

33, item addito nsQicpsQsCag 
'En. II 110, 13 s.; nsQLcpsQSia 
(isC£cov vel sXdxxcov (sive sXdo- 
acov) r)(iL60vg gcodCov 'En. II 
134, 24; 136, 23; 138, 6. 9 s. 
cet,; 2 X . 92, 20; 138, 20 s.; 
154, 24 s. (conf. (isyag et 

(ILY.QOg); CCVCi T866CCQC0V i)(lC- 

aovg £cpdCcov 'En. I 94, 1 ; ccvcc 
dvo tjulov ^cpdCcov I 94, 2. — 
gen. 7](iL6sog p. XL adnot. ad 
76, 17 et 20; 2%. 138,21; fem. 
TjtlCoSlU 2cp. [24, 10]. 

7](iL6cpccLQL0v: xb dcpavsg vel 
xb cpccvsQov 7](ii6cp.: vide dcpcc- 
vr]g et cpavsQog; sv xco vnsQ 
yrjv vel vnb yr)v, scil. t)(il- 
acpcciQLCp: vide yij. 

ijnsQ 2cp. 32, 21; 34, 23. 24; 
'En. I 52, 7. 25; 54, 13; 56, 
1. 10 cet.; iSfc. 84, 24. 

t]xol 8r) — j] ov 2cp. 6, 25. 

©sodoaLog Tripolita praef. 
p. XI s.; QsodooCov ocpaiQLnd 
2%. 4, 28; p. LV adnot, ad 
4, 30; eadem brevius acpccL- 
qly.u citantur 2 X . ±, 30; 6, 
26; 8, 27. 28; 10, 25; 16, 30; 

18, 16; 20, 27. 31. 32; 24, 21. 
'24; 26, 27; 30, 25. 26; 34, 

28; 36, 17; 38, 19. 22; 46, 

19. 20; ad sphaericorum 
librum I pertinere videtur 
porisma a scholiasta p. 18, 
21 s. citatum, unde ille effici 
dicit polos sphaerae iuxta 
diametrum oppositos esse. — 



sv xco nsQL OLKrjoscov 'En. I 
92, 13. 
ftsoig: (xb t)(ilyvyXlov) s X sxco 
&80LV cog xr)v AEZB 2cp. 8, 3, 
similiter 8, 13; r) AE nsQL- 
cpSQSicc &SGLV (i'|f t) cbg xr)v 
H3 'En. I 68, 14—16 ; 6 BdT® 

VCV'A.log %SOLV s'gSL 7]V sl X sv 

f£ d.QX7]g 2cp. 40, 6; 6 xov 
t)XCov HvxXog &SGLV sxsxco cbg 
xr)v AEVZ 'En. I 50, 10 s.; 
56, 22 s.; 62, 1 s.; 70,16—18; 
74, 1—3; 76, 3 s.; 98, 4 s.; 
102, 16 s. (ubi cog in libris 
ms. omissum); similiter 78, 
1 s.; 82, 2 s.; 6 xcov £cpdCcov 
%vvlog &SOLV s^sl cbg xr)v 
ZKN® I 66, 12 ; similiter 68, 
12 — 14; idem &sglv 's X sl xr)v 
ccvxy]V I 100, 1; cbg vvv s X sl 
6 xcov £codCcov YvnXog fteoscog 

I 92, 5s.; s X sxco &solv 6 £cp- 
8iav.bg xr)v KN0 2 X . 64, 17 s. ; 
idem xr)v eunaXiv &sglv s!-sl 
2 X . 62, 27 s.; 98, 26 s.; 102, 
25 s., vel nccoccv ftsoiv 90, 
24, vel ovy.sxl xr\v avtr)v 90, 
27 s. ; cbg s X sl &soscog 6 £co- 
dLCCYog 2x. 142, 27; xcc ^cp- 
8ia dnb 8vo(icov snl dvatoXdg 
xr)v &sglv %x st ^X- 128, 19; 
Y.atd tr)v &SGLV tcov gcodCcov 
2 X . 128, 19. 

Q-scoqslv: pass. &s coQsltaL 'En. 

II 106, 21; 112, 2; &scoQr]d'r)- 
astccL II 118, 24; 134, 6. 

& s co q 7] (i a : sv xco z' ftscoQr)- 
(iaxL xov naQovxog $l$XCov 2 X . 
26, 25 s.; snl xovds xov ftscoQr)- 
(laxog 2 X . 26, 15 s.; sv xcp l8' 
&8coQr)(iaxL 2 X . 9S, 32, simi- 
liter 134, 26; 138, 25; xovxco, 
scil. xco frscoQr](iaxL, sxQrjcd- 
(is&a 'En. I 92, 12; Sid xb a 
buov Yal <s', scil. &s coQyua, 2 X . 
4, 28, vel dnb xov rj 4, 30, 



208 



"idioq — kcctu 



vel dici tov p' 6, 26; similiter 
2%. 6, 27; 8, 27. 28 cet.; 
nQofiaivsL xb ^SCOQrjLLU 2%. 
128, 31. 

"idiog: sv.utSQOv (tcov cr\Lisicov) 
xr)v idiuv nsQLcpSQSLUv diu- 
noQSvsxcu 2%. 62, 27. 

i'vu c. coni. 'En. I 86, 1; 2%. 
58, 20; 72, 29; 154, 24. 

iarjfiSQia 2%. 14, 31. 

iarjfiSQivog, scil. Y.vyilog,'En. 
II 112, 22; 114, 14; 2%. 12, 
24; 114, 26. 

icog: iaa xs yul ollolu {isys&rj 
2cp. 2, 5; i'cr\ scxiv r) AH 
nsQLcpSQSia xfj @Z nsQicpsQsia 
2cp. 10, 4 s. , vel brevius iar\ 
saxlv r) AH xf) AZ 12, 3, ac 
similiter posthac; item in 
libris nsQi smxolcov , velut I 
64, 5—7; 68, 1 cet. f Conf. 
Y.sio&uL. — sv iacp %qovco et 
similia vide sub %Qovog. 

iaoxa%s(og p. XXIV adnot. 
ad 2, 4. 

Ku&cc 2%. 50, 25. 

Hu&sxog 2cp. 4, 10. 23. 

y.u&6 2%. 16, 27. 

v.ui passim; v.ui sxl, y.ul xoi- 
vvv : vide sxl et xoivvv; xs — 
v.ui : vide xs ; nai — v.ui 2cp. 
14, 19; 16, 10. 15 s.; 'En. I 
96, 25 s.; 98, 13 s.; 100, 21; 
102, 14 s.; 104, 2; 106, 3. 14; 
II 158, 23; 2%. 144, 20 s. — 
etiam 2cp. 4, 15. 20. 25; 6, 
25 cet; 'En. I 64, 9; 72, 28; 
74, 13 cet. ; sxl 6s v.ui 2cp. 
22, 9 s. 

v.ul siv: v.ulsi 2%. 114, 26 
(similiter paulo post IsyEL); 

n \ 27 ;, 
v.alcog s%ovcu (Ssit-cg) 2%. 26, 

15. 



Y.uxu: c. gen. y.vy.1cqv Y.aft' 
cov cpSQStuL (tu crjiisiu) 2cp. 
6, 10. 19 s.; similiter 6, 21; 
8, 26; 10, 12. 17; 14, 2 cet.; 
'En. I 66, 8 s.; 6 nuQullr\log 
(scil. Y.vvlog) Y.aQ'' ov cpsQS- 
xul 6 rjUog I 96, 19 s.; huxu 
(iscr\g uvtr)g (tr)g nsQicpsQsiug) 
satco 6 r]lLog II 110, 9. — c. 
accus. otuv (tb A crjiisiov) 
YUtu tb r ysvrjtUL 2cp. 16, 4, 

(6 Y.VY,log) GVLL$ullstCO Y.UtU 

xb A crjLLsiov 20, 5, (r) nsQL- 

CpSQSLU) tSlLVStUL Y.UtU tb A 

20, 19 s., ac similiter passim 
(velut 2cp. 16, 5; 44, 8 s.; 'En. 

I 50, 14. 19; 52, 15; 54, 5. 

22 cet.); %atu tb uvtb cr\- 
(tsiov 2%. 18, 27; v.ata ta 
uvtu cr\iisia 2cp. 16, 9; 22, 
8. 18 s. cet. ; y.uxu nlsiova 
crjLLEiu 2cp. 32, 3 a.;2%.30, 
24; (6 Y.vnlog) v.utu tb F uvu- 
tsllsL y.ul v.uxu xb stSQOv trjg 
xoLLrjg, tb B, dvvsL 2%. 16, 
28 s.; Y.utu nucuv xr)v xov 
oQi^ovtog nsQLcpsQSLUv xr\v 
iLstu^v cet. 2cp. 40, 14 s.; 42, 

23 s.; v.utu nuauv (isxuv.ivr\- 
civ xov ATB rjLLLYVKliov 2cp. 
4, 16; v.uxu nuaav nsQLcpOQuv 
xr)g ocpuiQug 2cp. 44, 14 s.; 
Yutu xu snbcLsvu t\llly.vy.1lu 
2%. 126, 28, similiter 126, 
29. 30; Y.UXU v.OQvcpr\v 2%. 16, 
32; Y.UXU Slullsxqov, v.uxu 
cvtvyiuv: vide haec substan- 
tiva; y.uxcc xag ccvuxolug 'En. 

II 128, 5s.; 134, ls.; 140, 
27; p. L adnot. ad 138, 8; 
Y.UXU xug dvcsLg 'En. II 144, 
9; 146, 22 s.; 148, 27; 152, 
8s.; 154, 18; 156, 25 s.; y.ux' 

UCXSQLCLLOV , Y.UtU §Co8sY.UtU 

2%. 106, 23 s.; Yuta tr)v &s- 
glv tcov ^cpdicov 2%. 126, 30; 



KCCTCCyQCCCpSlV 



Y06uog 



209 



r) xa#' r)uag olwneig Z%. 16, 
31; item OLYOVLisvrj 114, 27; 

%<XQ• , SYCC6Tr\V VVHTCC Z%. 116, 

27; y.cctcc tcc QrfosvTcc 2%. 116, 

30 s.; xara: ra arta 'Ert. I 72, 

21; *a#' a 2ft. 22, 28 (conf. 

na^a et xa<9"6); xara to 

ffuvFyyv? ^. 64, 29. 
KccTccyQcccpaiv: KccTccygcctyccv- 

Tsg (supplendum esse videtur 

to axfjfjicc) U%. 70, 31. 
YaTayQUCpr) Scp. 8, 25. 
hcctccvtccZbo&ccl p. LVIII ad- 

not. ad 50, 30. 
hcctccohsvcc£s LV : TCC CCVTCC 

Tolg 71q6tsqov ■kcctccgksvccoccv- 

Tsg 2%. 26, 22 s. 
kcctcco v.svr\: oog sv ttj kcctcc- 

GKSvrj Ttoisi Z%. 154, 25. 
%ccTccvycc£siv: pass. dtu to 

Y.ccTccvycct,so% , cu £%. 50, 30. 

YUTS%SLV. YaTS%0USV0V TOV 

TE (£oodCov) vno tov i)XCov 

'En. II' 112, 15. 
YccToniv c. gen. £%. 126, 21. 
Y.sio&cci: cbg ysltul 6 ^ooSlu- 

Yog Z%. 130, 25; 136, 32 (conf. 

&s6ig); y.slo&co Trj Ad tisql- 

cpsQSLoc Lor\ r) TE Zcp. 18, 9 s.; 

similiter 10, ls.; 'Ert. I 86, 

11; 100, 8 s. cet. 
ysvtqov circuli Xcp. 4, 18; 

44, 10; 46, 6; S%. 28, 29; 

35 extr. ; r) sy. tov ysvtqov 

Zcp. 4, 19. — sphaerae Zcp. 

4, 22; 44, 27. 29; 46, 5. 14. 

16; Slcc tov yJvtqov E%. 46, 

20. 
ylvslv: pass. buuXoog yivsl- 

G&CCL TCC Srtl TOV CiVTOV YV- 

v.lov Grj[iSLcc £%. 10, 27; nsQL 
YLVovusvr\g oqpcciQccg, Autolyci 
liber, Ecp. 2, 2 et passim in 
scholiis (vide AvToXvYog); (6 
rjlLog) ylvsltocl 2%. 114, 20, 

YLVSL6&CQ 'En. II 108, 5, YIVOV- 
Autolycus. 



usvog, YSYLvrjC&co, YLvrjQr^s- 
tccl II 114, 4—6. 

Yivr\GLg: sn\ Trjg uvXosLdovg 
Yivrjoscog {rr)g ocpctLQccg) 2%. 
12, 23; llstcc ttjv yCvtjglv toov 
toodCwv 2%. 126, 31; s% Trjg 
tov nccvTog YLvrjoscog 21%. 126, 
27; ycctcc Tr)v yCvv,6lv tov nav- 
Tog 2%. 126, 16 s.; 128, 24; 
similiter 126, 23. 

yXCllu: tcc £' yXCuutu E%. 114, 
28 (quam scripturam ut su- 
spectam uncinis seclusimus). 

yICvslv et YXCcLg: (yvyXol) 
ysyXlusvol nQog tov oqC^ovtu 
Zqp. 22, 10; 26, 1 S.; 28, 13; 
(yvyXo^) YSYliLLSvog nQog tov 
ugova £%. 22, 31 s.; r) vno 
toov KM0 _ yoovCa r) YXCoig 

SOTLV SV fj YSyXlTUI 6 AB 

YVYlog nQog tov ABTd yv- 
yXov Ecp. 28, 1 s.; similiter 
28, 3 s. et (nisi quod r\v pro 
ii^ij) 28, 9—12; smnsdov 
rtQog snCnsdov v.XCoig E%. 26, 
29. 
YOLvog: YOLvrj rtQOGYsCod-oo r) 
KN (seil. nsQLcpsQsia) 'En. 

I 68, 2s.; similiter 70, 4 s.; 
Z%. 18, 17 s,; similiter cum 
verbo rtQOGSLXrjcp&co 'Ert. II 
116, 4 8.; 118, 4, vel ucprjQr)- 
o&co Z%. 92, 16. 32, vel'sine 
verbo 'Ert. I 64, 6; II 120, 
15; Yoivfjg rtQOGtL&SLisvrig Trjg 
3N Z%. 70, 28 s. — al yolvkl 
auTcov (toov srtirtsdoov) ToaaC 
Scp. 28, 6; similiter 2^. 26, 
30 s. 33. 34; yolvtj Tour) cir- 
culornm: vide tolltj. 

YOQvcpr]: HaTa Y0Qvcpr)v 2%. 

16, 32. 
YOGUOg, 6, GTQSCpSTaL Z%. 152, 

27 s., idem GTQScpsoftoo 'En. 

II 108, 3 cet.; 6TQScpousvov 
tov yo6uov: vide 6TQScpsiv et 

14 



210 



KQiog — Xsysiv 



conf. nug; sv yogiico 'En. I 
50, 10; 56, 22; 60, 3; 62, 1 
cet.; xco yoglko p. XLIV ad- 
not. ad 108, 5; cosmicus or- 
tus et occasus 2%oXlu 1 et 2 
p. 164 s. 

YQibg, signum zodiaci, 2%. 
106, 24; 128, 20. 23 (bis). 26. 

KQv$dr,v p. XLIV adnot. ad 
106, 20. 

HQVipig astrorum : vide uysiv; 
uvdnuXLv e%ovglv at YQvxpEig 
2%. 134, 31. 

Hvxhxa, liber tertius elemen- 
torum, 2%. 32, 28; p. 33 ad- 
not. 1. 

YVYXog 2cp. 4, 12. 17. 22 cet. 
(conf. yQucpsiv). — (yvyXol) 
oq&oI 7tQog xbv a^ova 2cp. 2, 
16; 4, 26 8.; 6,5 s.; ol xcp 
af;ovi 7tQog OQ&ag bvxsg yv- 
yXol 2cp. 22, 7. 15 s.; (yvyXo^) 
Xo^bg cov rtQog xbv ul-ovu: 
vide hoc adiect. ; yvyXol nuQ- 
aXXrjXoL 2cp. 2, 14 s.; 4, 5; 
6, 2. 4 cet. (conf. nuQuXXrjXog) ; 

YVYXOL LGOL ZE YUL TtUQuXXrjXOL 

dXXjXoLg 2cp. 16, 21 s.; 18, 4; 
similiter 18, 13 s. cet. ; nug 
y.vv.Xog nuvxi yvyXcq bfioibg 
egxlv 2%. 34, 30; YVYXog oql- 

£cQV XO XE CpUVEQOV xfjg GCpUL- 

Qug 'Aul xb ucpuvig: vide oql- 
£elv et oql^cov; ol xcov uvxcbv 

ECpUnXOLlSVOL YVYXOL, COV YUL 

6 oql£cov unxExuL 2cp. 28, 14 s. ; 
(yvyXol) bfiOLcog yeyXllisvol 
nQog xbv oql^ovxu 2cp. 22, 10; 
26, 1 s., similiter 28, 3, vel 
xe iivovxsg xbv oql£ovxu 22, 

7 s. ; (YVYXog) (isyiGxog xmv 
ULSL UCpUVLOV 2cp. 30, 1 s., 
item xtov ulsi cpuvsQcov 30, 2 
(conf. Lisyug). — praegnanter 
YvnXog et tjlilyvyXlov dicun- 
tur circuli et semicirculi cir- 



cumferentiae , velut 6 7]Xiog 

— xbv AETZ yvyXov dLuno- 
qevexul 'En. I 74, 10 s. cet. 
(conf. yuxu et tjlilyvyXlov). 

— 6 xtbv £cpdLcov, 6 £cpdLUYOg, 

b xov tjXlov YVYXog: vide haec 
vocabula. — %v%Xog omissum: 
vide gcpdLUY.bg, ^coSlov, lGr\- 
itEQLvog, fiEGr]fi§QLv6g, nuQuX- 
XrjXog, xQonLYog. 
yvcov, sidus, 2%. 48, 21; 116, 
27. 29. 

Au\i$uvsLv: slXrjcp&co xl Gr\- 
llelov sni xr)g snLcpuvslug xrjg 
GcpuLQug 2cp. 4, 8 s.; similiter 
6, 14—16; 10, 15 s.; 14, I i. 
cet.; xug 8iu(iEXQOvg uvxcbv 
(xcbv yvyXcov) XufifiuvsL 2%. 
112, 30; svSe%sxul xlvu uGXQa 
nQog (isGr][i§Qiuv Xrjcp&rjvuL 
y En. I 96 , 14 s. ; slXr]cp&co 
ccgxqov nQog iisGr]Li(}QLuv xb 
M II 130, 10; siXricpftco ugxqu 
dvo sni xr)g uvuxoXr)g II 138, 
16. — Formae verbi praeterea 
in scholiis occurrunt hae : 
Xu(i§uvovxsg 80, 19; sXufie 
150, 21; Xdi3co}isv 26, 20; 50, 
25; 126, 17- Xapovtsg 126, 22; 
pass. XupfidvovxuL 126, 30; 
132, 27; eXr]<p&r] 138, 20. 

Xsysiv: Xsyco oxl 2cp. 4, 2; 6, 
16; 10, 19; 12, 18; 14, 24; 
18, 3 cet.; 'En. I 50, 16 s. cet.; 
Xsyco 8r) bxt 2cp. 18, 15; 26, 
1; 44, 15. 27; 'En. I 54, 3; 
68, 7; 74, 7s.; 86, 9; 90, 17 
cet.; Xsyco ovv oxl 2cp. 8, 7; 
XsysL (Autolycus scilicet) 2%. 
106, 23; 114, 29; 116, 26cet ; ; 
similiter sqel 94, 23, stQrjYcog 
119, 6, slns 150, 33; ovy egxlv 
slnsiv 2%. 126, 15; pass. Xs- 
ysxuL 2cp. 2, 4; XsyovxuL 'En. 
I 48, 6; slqt]Xul 2%. 119, 7; 



Xi)fifiata — usvslv 



211 



124, 25; t6 eiorjugVoyp.XXXVI 

adnot. ad 56, 5; Yutu tu qtj- 

&SVtU Z%. 116, 30 8. 
Xr)fiuuxu slg xu acpuLQLYU 

p. XI adnot. 11. 
Xoyog: tbv uvxbv s£sl Xoyov 

ts xQOvog 7iQog xbv %qovov 
cet. Z<p. 2, 7—10. 

lontov adv. p. XLIV adnot. 
ad 112, 13; lombv 6s 2%. 
116, 24. 

Xoinog: Xoltct) uqu syuxsqu 
xcov H& SN (nsQKfSQSLtov) 
cet. 'En. I 92, 14 s.; XoLnr) 
uqu r) HM (nsQLcpsQSLu) Xoinij 
tij &A lgyi saxCv Z%. 92, 17 s.; 
similiter 92, 18. 32; Xoinr) 
uqu r) ZST Xoinrjg xr)g HKE 

sXuOOCOV SOxlv r) OflOLU 2cp. 

34, 18 s. ; 77 XoLnrj r) NJA Z%. 
130, 27 s.; xb Xocnov (scil. 
^lyvyXlov) 'En. I 100, 2. 13; 
XoLncov ££ £codCcov vnuQ%6v- 
tcov II 112, 13 s.; xu XoLnu 
nsvxs II 112, 15; xu Xocnu 
xu dia tr)g nQoxuascog II 
122, 1 s. 
Xo£bg cov nQog tbv a^ovu 
(KVKXog) Ucp. 16, 20; 18, 2; 
22, 14 s.; 32, 7 s. 14; 36, 1 s. 
6s.; 40, 11 s. 19 s.; similiter 
22, 6; 32, 6b.; 84, 1; 40, 13. 
26 s. ; sIvul Xo^bv tbv oqC^ovxu 
nQog tbv uh,ovu 2%. 26, 17; 
similiter 26, 18. 

MuXu: xu nQog fisarjfi- 
PqCuv uoxqu fiuXXov xcov snl 
xov xcov £cpdCcov yvyXov 'En. 

1 80, 15 s.'; similiter 82, 4; 
84, 13 s.; sxi uuXXov Z%. 150, 
26. 28. 

puv&uvsLv: cbg SfJLU&ofisv 2%. 

106, 24. 
u-syug: fisC^cov Zcp. 12, 4; 'En. 

I 68, 2. 3. 4; 92, 3. 11; 94, 



5 cet.; 2ft. 28, 21 cet. (conf. 
uns%siv); r) VZ nsQicpsQStu 
xr t g EH nsQicpSQsCag usC^cov 
saxlv r) OfioCu Zcp. 34, 1 s. 
17 s. ; (sav) fisyLOxog Y.vy.Xog 
(jlsl£ovcov anxrjxuc r) cov 6 
oql£cov unxsxuc Zcp. 40, 13 s.; 
similiter 40, 27 s. — (isyLOtog 
■Avy-Xog Zcp. 8, 5. 14; 12, 8. 
15; 16, 19; 18, 1 cet.; 'En. 
I 82, 8; 86, 2s.; 6 (isyLOxog 
xcov nuQuXXr)Xcov 2%. 28, 18; 
saxco [isyLOxog xcov ulsl cpuvs- 
qcov 6 AZE nvKXog Zcp. 36, 
7 s. ; similiter 'En. I 82, 1 s. ; 
84, 15 s. 

u-sys&og: tou xs yul ou-oiu 
usys&rj Ecp. 2, 5. 

(iSXXSLV. fLSXXSL nOLSLO&UL Z%. 

116, 32. 
fisv 'En. II 126, 4. 11; fisv — 
ds Zcp. 8, 9 s.; 16, 4 s. cet.; 
'En.l 48, G. f 7s. 15 s. cet; 

6 usv — 6 8s: vide 6, rj, xo. 
(isvslv: llsvsl 6 rjXiog vnb 

yr)v 2%. 144, 20; fisvovarjg 
xyg AB sv&siug Zcp. 4, 13 
(conf. dLUfisvovau 4 , 16). — 
KVKXog fisvcov Zcp. 14, 16. 22, 
vel usvcov %vY.Xog 42, 26; 44, 
1; fisvcov [isyLOxog KvnXog Zcp. 
12, 8. 15; 18, 1, vel (isyLCxog 
Y.vv,Xog fisvcov 16, 19. Latius 
de circulis qui manent vel 
qui feruntur disputat Marti- 
nus Eevue critique d'histoire 
etc. (loco in praef. p. V lau- 
dato) p. 414 his verbis: f Mais 
que peut signifier le mot (is- 
vcov applique tant de fois a 
des cercles de la sphere en 
mouvement? Dans la rotation 
perpetuelle de cette sphere, 
excepte la terre, Faxe celeste 
et les deux poles de cet axe, 
il n'y a jamais un seul point 
14* 



212 



(JLSQOg 



immobile, et, a plus forte 
raison, il n'y a pas un seul 
cercle qui soit immobile un 
seul instant, si ce n'est 1'ho- 
rizon, parce que sa position 
ne de*pend pas de celle du 
ciel toujours tournant, mais 
de celle de la terre toujours 
en repos suivant Autolycus, 
qui admet que Fhorizon im- 
mobile comme la terre, mais 
different suivant les contrees, 
est immuable pour chacune 
d"elles. Cependant ce n'est 
pas seulement a Thorizon, 
plus ou moins incline par 
rapport a 1'equateur dans la 
sphere oblique (prop. 6), ou 
comcidant avec Vequateur 
dans la sphere parallele (prop. 
4), ou perpendiculaire a 1'equa- 
teur dans la sphere droite(prop. 
5), c'est aussi a Tequateur 
lui-menie et a tous ses pa- 
ralleles dans toute position 
de la sphere (prop. 12), et 
par consequent c"est a des 
cercles tournant chaque jour 
avec toute la sphere, d'orient 
en occident, qu'Autolycus 
donne ainsi 1'epithete (isvcov, 
mot qui habituellement, chez 
les mathematiciens grecs, si- 
gnifie, en repos, comme les 
mots v.Lvov(isvog ou cpSQO(is- 
vog signifient en mouvement. 
Mais il faut savoir que, chez 
les astronomes grecs, le verbe 
(isvslv a souvent un sens spe- 
cial, pour designer 1'absence 
de tout mouvement propre, 
c^est-a-dire distinct de celui 
du ciel entier. Cest ainsi 
qu'apres avoir dit, que les 
etoiles fixes sont emportees 
dans cette revolution diurne 



.40B^ 



du ciel, Platon (Timee, p. 40 B) 
ajoute qu'elles sont toujours 
en repos, dsl fisvsi, parce 
quelles ne se deplacent pas 
dans le ciel, comme les pla- 
netes. Ainsi Autojycus pou- 
vait appeler iisvovxsg des cer- 
cles, tel que 1'equateur et ses 
paralleles , emportes , mais 
sans aucun mouvement propre, 
dans la revolution quotidienne 
du ciel autour de la terre, 
d'orient en occident; tandis 
que, suivant Autolycus comme 
suivant Eudoxe, Callippe et 
Aristote, d'autres cercles dits 
mobiles cpSQOfisvoi (prop. 12), 
tels que ceux du soleil, de 
la lune et des cinq planetes, 
tout en partageant le mouve- 
ment diurne du ciel, ont, de 
plus, des mouvements plus 
ou moins lents et oblique- 
ment contraires a celui du 
ciel, mouvements propres par 
lesquels ils font retrograder 
d^occident en orient, par rap- 
port aux etoiles fixes, ces 
sept astres, dont chacun est 
attache en un point de son 
orbite tournante'. 
(isgog: dGVfinrcoTOv sgziv xo 
dnb xov A r l (iiy.vvi.liov cog sni 
tdc r Z E (isqtj tco dnb tov 
A rjfiLKVnXtcp cbg snl tcc H B A 
fisQT} Ecp. 30, 8 — 10; 6 r]Xiog 
noQSvsc&co cbg snl rcc T E A 
[iSQt} 'En. I 78, 2 s. ; similiter 
82, 10 s. 19s.;86, 5—7; Z%. 
82, 28; stcl xd nQog c\qy.tov 
rj snl xd nQog fisorjLL^Qiav 
(jlsqij II 112, 18 s. ; ln\ Ta n^bg 
&Q%TOvg (iSQrj II 134, 2; slg 
tu nQor\yov(isva (isqt) E%. 122, 
34 ; dvctToUyid llsqt] £cp. 40, 29 ; 
50, 12, item dvTind 42, 1 ; 50, 12. 



LLE6rjLL@Qitt — LLLYQOg 



213 



[i86r}ii§Qia: nQog LLE6rjLi@Qiav 
'En. I 60, 26; 62, 6; 66, 4; 
70, 24 cet.; Z%. 112, 28. — 
xa. nQog Lis6rjLL§Qiav: vide 6, 

^ T0 '' , ., 

HeerjHpQivog, scil. xux/,os, 

'Ett. II 132, & 20. 
{i8 6og: yLttTtt (i86ris avtr t g (titjs 
7t8Qiq)8Q8Lttg) 'En. II 110, 9, 
TisQi (i867}v avTrjv 112, 5s.; 

SV [r«] fifffGO ttje nSQLCpSQSittS 

Z%. 150, 34^. 
(lETcc: ote rjv (6 ^fXtog) ju,£Ta: 
tov H 2ft. 84, 28. — c. ac- 

CUS. LLETtt TYjV dlXOTOfllttV Z%. 

90, 25; (lETtt to £7rt Tr)g dva- 
xolrjs 2%. 126, 18 s.; llst 

ttVTOV (zOV YQLOV) S6TL TttVQOg 

Z%. 128, 20; lletci Tr)v v.ivrj- 
6iv tlvv £(pdi(ov Z%. 126, 31; 

LLSTU TO TOV TjXlOV SvVttL 'En. 

I 50, ls. 3s.; Z%. 80, 21; 
similiter 80, 25. 29; lletlx Trjv 

E6%ttTr\V E67lEQittV Cptt6LV 'En. 

I 76, 23; iLETtt TLVttg rjLLSQas 
I 50, 22s.; 52, 18; lle&' rjLis- 
Qug TLvdg Z%. 84, 23. 

LLE TCCY.LVS LV. paSS. LLETttYEYL- 
vr t 6%co TO AT/JB rjLLLY.VY.XLOV 

Zcp. 8, 2 s. ; LLETttKivrj&EVTog 
(tov rjXiov) Z%. 84, 29, item 
tou TtavTog 144, 23. 
LLETa%ivri6Lg tov ATB rj(iL- 
■KVzXiov Zcp. 4, 16. 

LLETttE,V TCOV nttQttXXr)XcOV Y.V- 

■nXcov Zcp. 40, 15; 42, 23 s.; 

LLETtt^V TCOV tt6VLL7lTLOTC0V rjLLl- 

Y.vv.Xi(ov Zcp. 30, 13 S. ; Z%. 
82, 29; 90, 21 s.; lletcl£v Tr)g 
ZE 7t8QLcpEQEiag, i. e. inter 
puncta Z E, Z%. 80, 19; si- 
militer 70, 27 s. 

LL8Ttt7li7lT8LV: TOV rjXioV LLETtt- 

nsnzcoYOzos Elg to rZA rjfii- 

yvyXlov 'En. I 54, 6 s. 23 s. 

lle%ql c. gen. 'En. I 56, 19; 



58,17; 11150,4; 158,4; item 
LL8%gig (ante vocalem) I 98, 
21. Synonymum est scog, quod 
vide; et conf. p. XLI adnot. 
ad 88, 17; 90, 3. 

(ir) Zcp. 2, 14; 4, 4. 26; 6, 3; 
8, 22; 10, 21 cet.; 'En, I 76, 
13 cet ; Z%. 28, 36 cet.; (ir) 
ydQ, dXX' 8l Svvutov Z<p. 8, 
9; 22, 23; 44, 29; (ir) ov%i: 
vide ov%i. 

(irjds Tico Z%. 58, 22. 

(irjdsnco llev yuQ cet. 2%. 
80, 28. 

(irjdETEQog Zcp. 42, 27; 44, 3. 

(irjYSTL Z%. 48, 20; 50, 23. 

(ir)v: t| firjvcov rj rjfiEQcc cet. 
Z%. 24 s. ; dLtt nsvTE (irjvcov 
'Etz. II 118, 28; 120, 6 s. (conf. 

7lEVTttLLr\VOV). UEVTE LirjVCOV 

circumferentia esse dicitur, 
id est tanta, quantam quin- 
que mensibus sol percurrat, 
'Etz. II 136, 16 s.; 138, 4. 
Conf. p. XLIX adnot. ad 136, 
16. 17. 23. 

(irjv: dXXd llttjv 'Eti. II 142, 
26; ovds (irjv 'En. I 50, 20; 
52, 16; 54, 6. 23; 58, 9 s.; 
60, 16; 80, 7; II 108, 8. 21; 
110, 2; Z%. 108, 29. 

(irjnco Z%. 58, 29. 

(irjTE — (irjTE Zcp. 42, 28; 44, 
3s.; Z%. 16, 32. 

(iLYQog 'En. I 74, 14; 76, 14. 
— EXd66(ov Zcp. 12, 4; 20, 
20. 24; 24, 10. 13 (bis); 34, 
19; 'En. I 56, 21; 58, 14. 15; 
60, 21 cet.; Z%. 20, 29; 28, 
23 cet.; EXd66ovog et sXu6- 
60vl: vide EVLttVTog et %qo- 
vog; iXd660va 'En. I 96, 18; 
II 146, 21; sXuttcov 'En. I 
68, 8 (paulo post 70, 4 sXdc- 
6cov , et sic etiam posthac 
hae duae formae promiscue 



214 



Livr\uoveveLV — 'O, f), xo 



ponuntur); 2%. 70, 29; 124, 
26. 27 cet.; iXdxxovos 2%. 96, 
28 (et conf. iviuvxos); iXdx- 
rovi 2%. 96, 30; iXuxxovcov 
'En. II 134, 12. — nsQicpsQELU 
iXu66cov f) otioiu: vide ollolos- 

— (U6XQ0V) SXUXXOV uns%ov 

2%. 126, 28, et vide dns%SLv 

sub forma dns%7]. — iXu%i6xr\ 

2cp. 20, 23; 24,' 11. 
uvrjLiovev slv c. gen.: iuvr\- 

UOV8V6EV 2%. 114, 24. 
uolqu, gradus, 2%. 78, 25; 

80, 29; 84, 29; 86, 18; 92, 

21 cet. Similiter lloqlov 2%. 

92, 21. 
uovov 2%. 76, 26; 106, 24; 

ov fiovov — alXd Yui 2%. 132, 

27 s. 
uovog 'En. I 58, 11; 60, 18; 

2%. 108, 25. 29. 32; 119, 

3 cet. 
LLOQLOV tl 'En. I 74, 13; (£co- 

6l6v) i6TL XCOV LB (IOQLCOV 2%. 

92, 20 s. (conf. llolqu); nQoo- 
sxl lloqlov p. LV adnot. ad 
12, 23—25. 
LLvioeidrjg y.lvi\6ls sphaerae 
2%. 12, 23. 

Noslv: vorJ6coLLSv 2%. 82, 27. 

votlos: in\ xd voxiu xov £w- 

Sluyov 'En. II 132, 5 s.; 

(u6XQ0v) VOXLCOXSQOV II 126, 

3; 132, 13. 18. 21; 2%. 62, 
23; 132, 28. 29. 

vvv 'Eti. I 92, 5; 2%. 80, 35; 
vvv llsv drj 'En. II 114, 3. 

vvh,: iv xco xr)s vvyxos %Qovco 
'En. II 112, 1, vel brevius 
vvY.x6s II 108, 16; iv xfj vvyxl 
II 120, 11 s.; iv LLia WYxi 
2%. 94, 20. 22; 140 /31; iv 
xfj uvxij vvy.xl .'En. II 144, 
1; 148, 'l6s.; 2%. 144, 21 8.; 
150, 31; xfj uvxfj WYxi 'En. 



II 142, 2; xr\s avxr\s vvyxos 
II 146, 25; 148, 5; 150, 3. 
10; 154, 20; 156, 16; 158, 2. 
23; sv.a6xr\s vvyxos I 56, 18; 
58, 17; 84, 14; 86, 10; 88, 
16 s. 18; 90, 6. 12. 19; 92, 
9; Y.aQ'' SYu6tr\v vvyxu 2%. 
116, 27; xfi s£r)s vvyxl 'En. 
II 116, 3; oXus xus vvyxus II 
106, 21 s. (conf. oXos). — 
(u6XQa) dcpavieQ-svxa r\LLSQUs 
XLvds Yal vvyxus 'En. I 76, 
24 s.; xr)v nsQLCpEQSLuv dcpuc- 
qovvxss xrjs vvyxos r]v 6 t)Xlos 
dianoQSvsxai 2%. 116, 31 s., 
vel brevius xr\v s^r)s vvyxu 
dianoQsvousvov xov f\Xiov 116, 
21. — £§ urjvcov f) vv^ 2%. 
12, 24 s. 
vv%Q"r\LiSQOV 2%. 74, 27; 90, 
24, et conf. p. XX; 168; 172. 

c O, f), xo: r\ AB ev&eiu, xu 
A B 6r\LLeia, xov ATB r)(iL- 
yvyXlov 2cp. 2, 17; 4, 1. 16, 
ac similiter passim, vel post- 
posito articulo Yuftexos r) Td 
2<p. 4, 10, 6r\LLeiov xb T 4, 
8s., r\LLLY,vY.Xiov xo ATB 4, 
12, OQigcov y.vyXos 6 ABTA 
'En. I 50, 10, neQL xbv euv- 
xr\s af-ova xbv AB 2cp. 4, 2, 
6lu xcov noXcov xcov A B 4, 
10 s., ac similiter passim, vel 
omisso substantivo dnb xov 
T, scil. 6r\LLsiov, 2cp. 4, 9, 
xris Td, scil. ev&eius, 4, 11 
cet. , f) i% xov v.evxQov 2cp. 
4, 19, xf\ TE, scil. nsQLcpsQcLa, 
2<p. 10', 1, item r) AH 10, 2. 
3 cet., xb B, scil. u6xqov, 'En. 
I 52, 20 cet., xd nQos uqyxovc, 
xd nQbs [ie6r\LL§Qiuv, scil. 
u6tqu, I 60, 25 s. cet. — xd 
nQos uqyxovs, omnis septen- 
trionem versus regio, 'En. II 



ods — ollolos 



215 



122, 11 s.; 128, 6. 12 s.; 132, 
4s.; 144, 9; 146, 23; 148, 2. 
27; 150, 7; xcc nqbg \xs6r\LL- 
$Qiccv II 122, 14 (aliter sirnili 
loco 128, 8, et conf. 130, 10); 
138, 8; 140, 27; 154, 18; 156, 
26. — articulus praedicato 
appositus in his forrnulis: xb 

AET r\LLLY.VY.\LOV E6XCCL XO 

@NK 'En. I 66, 12 s., vel r) 
AE nsQLcpSQEicc s6xccl r) GN 
66, 14, ac similiter aliis locis. 
— articulus cum infin. : xco — 
@E§r\Y.svccL 2%. 34 > 30 s . s -i 'Sut 
xo et llexcc xo cet.: vide dicc 
sub finem et llsxcc. — 6 ndg 
v.vY.\og 2%. 76, 29; 6 ccvxog: 
vide ccvxog. — articulus cum 
sententia relativa: xb noor\- 
yovLLEvov xov iv co e6xlv 6 
rjXiog 'En. II lio', 4 s.; xb 
nqb xov iv cp S6xiv 6 r\\iog 
2%. 119, 2 s.' — 6 llsv — 6 
Ss 2cp. 12, 13 s.; 14, 12 s.; 
16, 22 8.; 18, 5 s.; 'En. I 

^48, 6.^ 

oSs: inl xovSe xov &scoQr\- 
LLccxog 2%. 26, 15 s.; iv xcoSs, 
scil. xcp ^EcoQrjfiaxL, 21%. 134, 
30; xoSs xovSe r)ysLXcci 2%. 
126, 19 s.; xoSs xcoSs snsxccL 
2%. 126, 24. 

o&sv 2cp. 4, 14. 

oI-helv: xolg olhovol xr)v §6- 
QSiov gcovriv 'En. II 114, 10; 
r) v.aQ 1 ' r)(iag oUovLiEvrj 2%. 
114, 27. t 

0LY.r\6Lg: inl xr)g Y.ccft' r)(iag 
oUrJ6scog 2%. 16, 31; sv xco 
nsQL 0LY.rj6Ecov, Theodosii sci- 
licet libro, 'En. I 92, 13. 

olov, velut, 2%. 48, 21; 98, 
30; 102, 29; 106, 24; 128, 
20. 22; 144, 29; 152, 27. 

olog: olov av c. coniunct. 2%. 
106, 25. 



OL06dr)noxs: v.ccd'' otovSrj- 
noxs 6r)LLEL0V 2%. 150, 30. 

oXiyog: (Sicc) i\cc66ovcov r)(is- 
qcov \' 2%. 134, 28. 30 s.; r\ 
dH s\tt66ovcov vnbyiSLXttL, scil. 
r)[iSQ(ov, 2%. 134, 33. 

o\og 6 Y.vY.\og 'En. II 118, 12; 
2%. 35 extr.; o\og 6 ZT y.v- 
v.\og 2cp. 42, 22; o\og 6 JBET 
Y.VY.\og scp' o\ov xbv ABT y.v- 
y\ov icpttQLL068L 2cp. 32, 1 s. ; 
similiter 38, 8 s. 17 s.; o\ov 
xb ZT r)iLLY.VY.\LOv 2cp. 42, 19; 
o\ov xb r)(iL6cpttiQLov 'En. I 94, 
7. 10. 16.' 18; 96, 8. 12 s. 16; 
o\r\ r) ZEH nsQicpEQELtt 1 80, 
13; similiter II 118, 17 s. 19; 
o\r\ r) AET (scil. nsQLcpsQELcc) 
o\r\ xij ETZ E6xlv L6r\ 'En. I 
64', 6s.; similiter II 116, 5; 
118, 5 cet,; 2%. 18, 18; o\r\ 
r) EKO o\r\g xrjg H&K i\a.6- 
ecov iexCv 'En. I 70, 5; simi- 
liter 2%. 138, 21 s.; (r)nsQi- 
cpEQELcc) 6\r\ vnsQ yr\v oqccxccl 
2%. 110, 25; o\r\v (pro oxccv) 
xr)v ATM legendum esse vi- 
detur 2%. 154, 28; o\r\ r) 
vnsQ yi~\v (vel yr)g) cpOQcc 'En. 
II 108, 9; 110, 3; sv o\avg 
r)(i£QttLg 'En. I 76, 11. 14; 
o\ccg xccg vvYxag II 106, 21 s.; 
o\ccl nsQLcpoQaL cet. : vide hoc 
sabstant. | { 

btittlwg 2cp. 2, 4. 7. 12; 4, 

JLj 6, 7; 10, 10; Z%. 10, 27. 

OLlOLOg: L6CC XS Y.CCL OLLOLCC 

LLEyE&ri 2ep. 2, 5; oLLOvaL ns- 
QicpsQEiccL 6, 9. 18; 10, 11— 
13; OLLoCtt i6xlv r) TE nsQL- 

CpSQELtt Xr\ dZ nEQLCpEQELtt 8, 

6s.; similiter 10, 1—3. 20— 
22; 12, 5-7 cet, Conf. Mar- 
tinum loco sub llevelv citato 
p. 415: f L'auteur dit (Defin. 
1) que le mouvement uni- 



116 



ofioicog — oqccv 



forme, bfiaXog, parcourfc en 
temps egaux des grandeurs 
non - seulemenfc egales, i'6a } 
mais semblables, bfiota. Que 
signine cette seconde expres- 
sion? La similitude existe 
pour toutes les parties egales 
de lignes droites quelconques 
et pour tous les arcs eganx 
de circonferences de cercles 
de meme rayon. Mais, d^apres 
la defmition d'Autolycus, sur 
des cireonferences de cercles 
de rayons differents, ou sur 
des arcs differents d'une meme 
ellipse, d'une meme parabole 
ou d'une meme hyperbole, 
le mouvement ne serait pas 
uniforme, lors meme que les 
grandeurs lineaires parcou- 
rues en temps egaux seraient 
egales; car ces grandeurs ne 
seraienfc pas semblables entre 
elles, a cause des differences 
de courbure. D'un autre cote, 
suivant Autolycus (Prop. 2), 
dans la sphere tournant uni- 
formement sur son axe im- 
mobile, tous les points des 
cercles perpendiculaires sur 
1'axe decrivent en un meme 
temps des arcs semblables, 
c'est-a-dire qui sont chacun 
une meme partie aliquote 
des differentes circonferen- 
ces; mais ces arcs ne sont 
pas egaux, puisque ces cir- 
eonferences sont inegales 
entre elles. Voila pourquoi 
et comment dans les gran- 
deurs lineaires parcourues, 
quand elles ne sont pas recti- 
lignes, Autolycus distingue 
Yegalite de la similitude\ — 
-r) T7j nsQtcpSQSta t/Js EH 
nsQtcpSQsiag [isi£cov iozlv r} 



bpoia Zcp. 34, 1 s. 17 s.; Xotnr\ 
r) Z@r Xotnr^g xqg HKE sXda- 
6cov i6uv r) 6{iota 34, 18 s.; 
nsQtcpSQStav iXa,66ova slvat r) 
Ofiotav xrjg dofrst6r)g nsQicps- 
QStag 'Etc. I 96, 18 s. Conf. 
indicem in Pappum sub 
opotog. 

ofiotcog 'En. I 72, 28; Z%. 80, 
20; 128, 21 cet.; (uvxXot) 
Ofioicog xsKXtptsvot nQog xbv 
OQtlovxa Scp. 22, 10; 26, 1; 
similiter 28, 13; bfioicog xcp 
ctvco dstx&rj6sxat 2%. 24, 23; 
bfioicog xco nQO avxov 70, 30 8. 
— bfioicog 8j] in continuatione 
demonstrationis Zcp. 4, 24; 
8, 19; 12, 5; 14, 9; 16, 13; 
22, 2; 24, 17; 42, 21; 46, 
14 s.; 'En. I 76, 19; 80, 1. 
11; Z%. 26, 17; 58, 32; simi- 
liter bfioicog ds 'En. I 74, 23; 
II 106, 20 cet. ; bfioicog nai 
Z%. 134, 28. 

b[io6s Zcp. 32, 19. 23; 34, 15 
(conf. dfia 32, 9. 10). 

buov dicuntur astra dvvstv 
vel dvaxsXXstv 'En. I 82, 18; 
84, 3 s. (quo ex loco apparet 
bfiov de tempore similiter 
atque dfia poni) ; 96, 9. 13. — 
bfiov %ai Z%. 4, 28. 

o^vg: o^sia ycovia Z%. 26, 30. 
35; 28, 17. 33. 

ont6&sv i^rt xov Z (dexQOv) 
xb H Z%. 84, 21 s. 

onov Z%. 116, 28; bnov av 
svQsftfj b r)Xtog Z%. 150, 30. 

6 q d v : pass., idque plerumque 
cum participio positum: OQa- 
tcu 'En. 1 56, 18; 58, 17; 60, 
1; 80, 7 cet.; Z%. 108, 25— 
33 et 110, 24—26 passim; 
122, 20 cet.; oqco(isvov Z%. 
110, 23; ocp&rjvat 'En. I 94, 
10. 18; Z%. 48, 20; 50, 23; 



0Q&6g — bg 



217 



ocpftsv 2^.48,20; ocp&rjOSTou 
En. I 94, 7. 16; 96, 8. 12; 
Z%. 94, 20. 22; 140, 31; oqu- 
&t]6sxul 'En. I 78, 19; 90, 3. 
19; 92, 9; 134, 11; 158, 3; 
Z%. 90, 23. 24. Conf. praef. 
p. XIII 
oo&og: OQ&ri, perpendicalaris, 
dicitur esse recta ad rectam 
Zcp. 26, 10-12. 13 s., vel 
recta ad circulurn 26, 8—10; 
46, 8 s., vel OQ&og circulus ad 
circulum 20, 10 s. ; 24, 5 s. ; 26, 
5 — 8; 36, 4 cet., vel circulus 
ad axem sphaerae 2, 16; 4, 7; 
6, 5 s., vel 6q&6v segmentum 
circuli ad diametrum 20, 13 — 
16; 24, 7 s., vel OQ&og circulus 
ad horizontem 36, 4. 11 ; 40, 7. 
9. — (ycovCai) dv6iv oQftuig 
i6ul Z%. 28, 32 s. — (sv&slu) 

8lU(ISVOV6U XTj AB SV&sCu 

TtQOg OQ&ug Zcp. 4, 16 s.; t) 
Td itQog OQ&ug ov6u xoZ AB 
u£ovl 4, 19 s.; similiter 4, 
20 s. 26 s.; 12, 8 s. 15 s.; 14, 
3 s. cet.; nQog OQ&ug xij yolvtj 
TO[iij 2%. 26, 30 s. 33.' 34. — 
OQ&r) 6cpaiQa 2%. 14, 30; 26, 
t 19. 

qC£slV. (SUV SV 6CpUlQU YV~ 

v.Xog) OQi£rj xo xs ucpuvsg yul 
xb cpuvsQov 7]u,i6cpuLQL0v xr)g 
6cpuLQug Zcp. 12, 9 s. ; simili- 
ter 14, 17; 16, 19 s.; 32, 8s.; 
36, 2 8.; 40, 12 B.; item oql- 
fcsxco xo xs cpuvSQOv xr)g 6cpuC- 
Qug hul xb ucpuvsg 12, 16 — 
18; similiter 14, 23 s.; 18, 
2 s.; 32, 15—17; 36, 5s.; 40, 
20 — 23; prorsus eadem ra- 
tione etiam participium po- 
nitur: 6 6qC£cov sv xij GcpaCoci 
y.vxlog xo xs cpuvsQOv xr^g 
6cpuiQug Y.ul xb ucpuvsg Zcp. 
22, 5 s.; similiter 22,11—13; 



hinc participium oqC^cov sen- 
sim transiit ad vim nominis 
appellativi, ac primum qui- 
dem pro opt^rco dicere coe- 
perunt s6xco boC£cov xb cpuvs- 
qov yul xb ucpavsg 6 AB 'En. 
II 112, 21. ac similiter 120, 
1 s.; deinde omisso obiecto 
oqC£cov Y.vY.log positus est'E7r. 
I 50, 10; 56, 22; 62, 1; 66, 
1; 70, 16; 98, 4, vel brevius 
oqC£cov , suppleto etiamtum 
substantivo nvYlog, Zcp. 14, 
7; 28, 15. 16; denique ipsum 

oqC£cov factum est substanti- 
vum Zcp. 20, 5 (xcb ABV oqC- 
tovri); 22, 8. 9. 20; 24, 20; 
26, 2; 30, 1. 3; 32, 26 cet.; 
'En. I 60, 3; 74, 1; 76, 3; 
78, 1; 82, 1 cet.; 2^ 14, 30; 
22, 29 cet. ; vnsQ xbv oqC- 
^ovtu Zcp. 14, 20; 16, 11 s. 
17 ; XXXII adnot. ad 34, 13; 
vnb tov oql^ovtu Zcp. 14, 20; 
16, 12 s. 18; 'En. 92, 4 (conf. 
yrj); b i6rjfjLSQivbg 6qC£cov yCvs- 
tul Z%. 12, 23 s.; yutu na.6uv 
xr\v xov oQL^ovxog nsQicps- 
qsluv xr)v (jlsxu^v cet. Zcp. 40, 

„14 s.; 42, 23 s. 

OQog: 8lu xbv fi' oqov Z%. 10, 
30; diu xov s' oqov xov u 
xcov 6cpuiQLYcbv Z%. 20, 31; 
diu xbv oqov Z%. 26, 29; oqol 
a Dasypodio additum Zcp. 2, 
3; 'En. I 48, 4. — Inter de- 
finitiones et axiomata ab 
Autolyco nullum discrimen 
factum esse docet Paulus 
Tannery Sur V authenticite des 
axiomes d'Euclide p. 8 s. (Ex- 
trait du Bulletin des sciences 
mathematiques, deuxieme serie, 
tome VIII, mai 1884). 

bg, r), b: ov Zcp. 4, 18; 8, 26; 
14, 2; 16, 2 cet.; 'En. I 96, 



218 



ooog 



20 cet.; co Zcp. 2, 8; 'En. I 
56, 20; 60, 1 cet.; <x>v Zcp. 6, 
10; 10, 12. 17; 40, 14. 16. 
28; 42, 5 cet.; r t g Zcp. 2, 17; 
10, 14; y 28, 1. 3; r t v 28, 9. 
11; 40, 6; 'En. II 120, 10; ccg 
Zcp. 10, 11; o Z%. 16, 31; 74, 
28; iv cp: vide iv, xa^' 3, 
Z%. 22, 28; cov 'En. I 66, 3; 
94, 2 cet.; olg I 96, 22; 

^102, 9. 

ooog: iv boco %q6vco ^cp. 10, 
6s.; iv oocp , quoad, dum: 
vide iv; bocp — xooovxcp Z%. 
152, 21; oriiiSLU, oocc Zcp. 2, 

4. 14; 4, 4 % 25s.; 6, 3; (ffq- 
jtifro;) oaa ccv Xcc^cofisv Z%. 
50, 25; oocc xcov cxgxqcov vel 
tcov ccgxqcov bocc vel o<xor, scil. 
ccgxqcc, 'jEtt. I 76, 22; 94, 8; 
II 112, 17; 132, 4; 138, 7; 
140, 26; 148, 26; 154, 17; 
ogcc — bocc ds II 122, 11— 
13; 128, 5 — 7; bocc {isv ioxiv 
— xcc ds I 60, 23—26; 70, 
11—14. 

ogtcsq: onsQ ioxlv ccdvvccxov 
Zcp. 12, 4; item ccxonov : vide 
hoc adiect. ; bnsQ ov% vno- 
V.SIXUI Zcp. 44, 24; 46, 13; 
Z%. 22, 32; bnSQ ioxiv inl 
xrjg OQ&rjg ocpcciQccg Z%. 26, 

ooxig: ryzig 'En. II 146, 20; 
Z%. 66, 23. 28; 68, 31; 146, 
31; p. XLII adnot. ad 96, 20. 

oxs c. indic. 'En. I 104, 11 
(paulo post similiter bxccv c. 
coniunct., quod dicendi genus 
multo est usitatius); Z%. 28, 
35; 66, 29; 84, 28; 90, 27 
cet.; oxccv Zcp. 8, 11; 16, 4. 
5; 30, 20; 34, 7. 10. 25; 38, 

5. 12; 40, 3; 'En. I 48, 8. 9. 
11. 13. 16. 18; 50, 1. 3; 52, 
7. 9. 25. 27 cet.; Z%. 58, 34; 



60, 29 cet. ; bxs c. coniunct. 
Z%. 48, 21. 
oxl Zcp. 4, 24; 8, 20; 12, 5; 
14, 10; 16, 13 ^cet.; Z%. ^28, 

17 cet. ; drjXov bxi, Xsyco bxi, 
cpavsQOv oxi: vide drjXog, Xe- 
ysiv, cpccvsQog. 

ov Zcp. 8, 17; 12, 4 cet.; 'En. 

I 50, 20 cet.; r} ov Zcp. 6, 25; 

ovy. ccqcc xo E orjiisiov ovx 

soxiv inl xov cc^ovog' inl 

xov cx^ovog ccqcc ioxiv Zcp. 44, 

25 s.; sl ovh icpccQfioost, Zcp. 

32, 2s. 
ovds, ne — quidem, Zcp. 8, 

20; 12, 6; 22, 2; 46, 15; 'En. 

I 56, 5; 78, 19; 80, 1. 3. 11. 

13; II 108, 17. 19; Z%. 56, 

28; 58, 32 cet.; ovds [ir t v. 

vide \ir\v. 
ovdsig: ovSsv 2^.12,11.19; 

Z%. 94, 20; 140, 30. Conf. 

ov&sig. 
ovdsncoZcp. 34, 11; 2^.56, 28. 
ov&sig: iv ccXXco ds %qovco 

ov&svi 'En. 1 56, 19 s.; 58, 

18 s.; ov&sv xcov — ccgxqcov 

I 94, 6. 

OVY.SXL Z%. 90, 27 cet. 

ovy,ovv Z%. 122, 27; 150, 26. 

ovv Zcp. 8, 7; 'En. I 52, 4. 
21; 54, 10. 22; Z%. 50, 27; 
74, 28; 80, 33; 92, 23 cet.; 
st (ilv ovv 'En. I 74, 10; 76, 
10; insl ovv Zcp. 30, 10; 'En. 
1^96, 3j II 112, 7. 

ovncog 'En. I 82, 8; ovnco Z%. 
84, 22. 

ovxs — ovxs Zcp. 12, 12. 21 
14, 11 s.; 'En. I 94, 15—17 
98, 2 s. 16 s.; 100, 23 s.; 102 
8. 13. 24; 104, 9 B.; 106, 1 

II 106, 19. 21; 108, 7. 20 
110, 1 s. cet.; Z%. 106, 23 
ovxs \ir\v p. XXXVI adnot 
ad 54, 6. 



ovxog — nuQuXXrjXog 



219 



outog: xovxov xbv %qovov et 
uXXov 8e xovxco lgov %qovov: 
vide %Q6vog; xovxcov (scil. xcov 
kvkXcov) Zcp. 16, 22; 18, 5; 
ccvxccl Zcp. 10, 13; tovto Zcp. 
20, 21 cet.; 'En. I 64, 14; 90, 
17; II 116, 9; 118, 11; 120, 
19; 134, 24 cet.; Z%. 50,27; 
xavxu Z%. 56, 30 ; xovxoig 'En. 
II 148, 27; 154, 18, ac pas- 
sini hae aliaeve formae. — 
tovtov xov fiifiXiov Z%. 6, 27; 
34, 29, item tovtov Z%. 14, 
27; 38, 20. 21; 42, 30; 8lu 

XOV 7ZQO TOVTOV, Scil. ^ECOQT]- 

puxog, Z%. 10, 31; similiter 
tovtco i%QriGcc[is&cc 'En. I 92, 
12; iv xco nQO xovxov e8ei- 
%&rj Z%. 24, 25. 

ov%i Z%. 90, 23; xov (irj ov%i 
c. infin. 'En. 1 74, 14 s.; 76, 

^15. 

ocpelXsiv: cocpeiXev cpccvrjvca 
Z%. 80, 21; xb ocpeiXov ccoxqov 
dvaxeCXca Z%. 66, 27 (et conf. 
p. 168). 

UocXiv Zop. 4, 14 cet.; Z%. 18, 
22; 80, 26. 31; 88, 25 cet.; 
nccXiv 8ri Z<p. 38, 12; 40, 3; 
'En. I 52, 10; 54, 1. 18; 60, 
9 s.; dr) nccXiv I 58, 3; nccXiv 
6e Zcp. 34, 15; nccXiv enei 
'En. I 72, 8. 

nccvxdncc glv 'En. I 94, 9. 

nccvxcog 'En. I 100, 7; Z%. 
70, 29. 

nccQcc c. acc: 8l' ccXXov (gt}- 
fieiov) nccQcc xo A Z%. 22, 31 
(Autolycus ipse eodem sensu 
nXr]v posuit); ov xov nccvxu 
Y.vY.Xov — ccXXcc xbv nccQcc xe- 
xccqxov Z%. 76, 29; xb eXXei- 
nov nccQ' Z%. 74, 28. 

nccQccyiyveG&ccL in aliquem 
locum dicuntur puncta, sol, 



astra (vide infra), his formis: 
nccQccyiyvexccL Zcp. 8, 8. 18; 
10, 6. 7. 8; 30, 17. 18. 19; 
34, 5 cet.; 'En. I 52, 7. 24; 
54, 13; 56, 1 cet.; nccQCcyive- 
xccl Z%. 138, 24; 150, 23; 
naQccyLyveG&co Zcp. 8, 10; 
naQeyevexo Z%. 64, 24; na- 
QayevrjxaL Zcp. 8, 12; 30, 21; 
34, 8. 11. 25. 26; 38, 6. 7. 
14 cet.; 'En. I 52, 8. 25; 54, 
14; 56, 2 cet.; naQayeveo&co 
Z%. 64, 22 ; naQayevec&aL 'En. 
I 54, 9. 25; naQayevopevog, 
naQayevofievov cet. 'En. II 
122, 8; Z%. 58, 22. 27 cet,; 
naQuyevrjcexaL p. XXXIII ad- 
not. ad 40, 5. — (actQa) dnb 
xrjg ecoag enixoXrjg enl xr)v 
eaneQiav enLxoXrjv naQuyiyve- 
xul En. II 118, 15 s.; simili- 
ter 118, 16 s. 22 s. 27 s.; 120, 
22 s. cet. Conf. nuQeCvuL. 

nuQuXXayr): [ilhqu xig uv 
yevoLto nuQuXXuyr) xov (ir) 
ov%l xb d ugxqov GvvavaxeC- 
Xul cet. 'En. I 74, 14 s.; si- 
militer 76, 14—16. 

nuQuXXr\Xog: ul KM AN ev- 
fteCuL nuQuXXrjXoi elciv Zcp. 
28, 7; ecxco nuQuXXrjXog %v- 
yiXog — 6 J@Z 8, 26 s.; si- 
militer 14, 2s.; nuQuXXr\X6g 
eGXLV 6 Td Y.vv.Xog xcp AB 
Y.vY.Xcp 14, 4s.; similiter 14, 
7 8. cet. ; yeyQucp&co nuQuX- 
XrjXog Y,vv.Xog 6 H® 'En. II 
132, 9 — 11; y,vy,Xol nuQaXXrj- 
Xol Zcp. 2, 14 s.; 4, 5; 6, 2— 
21 passim; 8, 4; 10, 12. 16 
cet.; 'En. I 66, 8 s.; vel bre- 
vius, omisso hvyXol, nuQuX- 
XrjXoL Z%. 14, 29; 18, 24; 22, 
28; 28, 18. 34; 30, 23; 6 ice- 
yLGxog xcov nuQuXXrjXcov Z%. 
28, 18; neQicpeQeiu xov nuQ- 



220 



naQScvccL — nsQLcpSQSLU 



aXXf)Xov ■na&' ov cpsQSxccL 6 
rjXiog 'En. I 96, 19 8. ; snCnsScc 
naQuXXr\Xu Zcp. 28, 5. 

nccQsivccL, similiter atque na - 
QuyCyvsG&uL, dicuntur puncta 
vel astra in aliquem locum: 
(xb 6r\usiov) sni xb E nccQS- 
gxccl Zcp. 38, 16; similiter 40, 
5; (aGXQa) dnb xr)g scoag sni- 
xoXrjg snl xr\v sonsQiav snL- 
xoXrjV nccQSCxccL Sid nsvxccur)- 
vov 'En. II 112, 19 s. ; simi- 
liter 114, 16 s. ; 116, 12; 118, 
25; 128, 3. — iv x<p 5' &sco- 
QriLiaxL xov nccQOvxog (lifiXiov 
Z%. 26, 25 s. 

naQ sq %S6&cci: sviavxov naQ- 
sX&ovxog Z%. 119, 4. 

naQiaxdvaL: xo dxonov na- 
QU6xr\6cousv Z%. 26, 24. 

nag v.vv.Xog navxl buoLog sgxlv 
Z%. 34, 30; (r) nsQicpSQSLu) 
ndocc vnb yr\v sgxlv Z%. 108, 
26. 29 s.; similiter 110, 22. 
32 s. cet. (conf. oXog)', nuxd 
nucav usxtt%ivr\6LV xov AVE 
i\ULY.v*Xiov Zcp. 4, 16; naoav 
ftsGiv s'E,sl 6 ZepdLanog 2%. 
90, 24; nQog ndaag xdg dnxo- 
usvug cet. Zcp. 26, 10 s.; na- 
gcov xcov — sv&slcov Zop. 20, 
23 s.; 24, 11 s. cet.; Slu nav- 
xog Zcp. 14, 13. 14; ndvxa 
xd — GrjfiSLa Zcp. 2, 13 s.; 
4, 3 s. 25; 6, 2 s. cet.; item 
doxQu 'En. I 92, 7. — xo nuv, 
mundus, Z%. 80, 31; 86, 18; 96, 
28; xov navxbg nsQLSvs%frsv- 
xog Z%. 122, 17; similiter 122, 
29 s. cet. ; 7] xov nccvxbg nsQL- 
cpoQu Z%. 106, 25. 

n s vxdur\v ov: Slu nsviccfirj- 
vov 'En. II 112,20. 25 s.; 120, 
23 s. 25; 134, 5. 10; svxbg 
nsvxa\ir\vov Z%. 116, 23. 

nsvxs £cqSlcc 'En. II 112, 2. 



15; 114, 4. 7; 120, 24. 25; 
122, 5; {nsQLcpSQSLtt) nsvxs 
ur t vcov II 136, 16 s.; 138, 4; 
did nsvxs \xr\viov II 118, 28, 
Std ur\vav nsvxs II 122, 6 s. 
(conf. nsvxd(ir\vov). 

nsv xsKttLdsxa (an f orte S s - 
Y.ansvxsr): ls 2%. 78, 25; 
80, 29; 84, 29; 86, 18; 92, 
20. 21 cet, 

nsQL c. gen. Zcp. 2, 2; 'En. I 
48, 2; II 106, 16; Z%. 96, 32; 
dnoSsixvvxcci nsQL xlov M N 
Z%. 114, 22 s.; similiter 114, 
23 s. cet. — sphaera converti 
dicitur ns ql xbv sccvxr\g ai^ovu 
Zcp. 2, 12 8 ; 4, 1 s.; 6, 7 s. 
11 s.; 10, 10 s.; 12, 11. 19. 
— nsQL usor\v (xr\v nsQLCps- 
qslccv) 'En. II 112, 5 s. 

nsQty Qucp slv: b ^LpSLttHog ui) 
nsQiyQccopsLg Z%. 130, 25. 

nsQLS%siv: i) nsQis%0(isvr\ 
o^sicc ycovLtt vnb xlov — dyo- 
usvcov Z%. 26, 30 s. 

nSQLKaxaXccLLfidvsLv: xb E 
daxQOv so%uxLog nsQLTiaxttXafi' 
@uvsg\tco vnb xcov xov i)Xiov 
avycov cet. 'En. I 78, 5 — 8; 
similiter 82, 13 s.; xb nsQL- 
KccxccXcc[ipdvs6&ttL sG%dx(og I 
84, 19. 

nsQLcp sQsicc, circumferentia, 
arcus, praef. p. XIV s. ; i) TE 
nsQLcpsQSLcc Zcp. 8, 6; 10, 2, 
xfi dZ nsQLcpsQsCcc 8, 7, xr\ 
®Z nsQLcpsQsCa 10, 2. 5, ac 
similiter passim et in ipsis 
Autolyci libris et in scholiis, 
vel omisso substantivo zy TE 
Zcp. 10, 1, i) JH 10, 2. 3, 
xij ©Z 10, 3, ac similiter pas- 
sim, cuius generis dicendi 
exempla praeterea enotavi- 
mus r)uLY,vv.Xiov Ss r) ©NK' 
usi£cov ttQtt r\uLxv/.XCov i) NKO 



nSQLCpSQELV 



nOLSLV 



221 



'En. 1 68, 3 s. ; r) 3KO sXccg- 
6oov iatlv rmLY.vx.Xiov I 70, 
6 s. cet.; (tovrjv xr\v EH I 58, 
11 s.; tccq 6(ioiag Z%. 82,30 s.; 
Tag (isigovg r)(iL6ovg gcodiov 
S%. 92, 20 (et conf. 92, 23); 

S6TLV i) ©K nSVTE (l^VCOV 'En. 

II 136, 16 s. cet. Conf. %oivog 

tt OXOC. — L6CCL, 6(lOLai 7CSQL- 

qpsQSLai: vide haec adiectiva; 

do&Sfcci nSQLCpSQEia, nEQLCpE- 

QSicc cccprjQrje&co , ansLXr)cp&co : 
vide haec verba. — nsQLcps- 
qelcc T(ir)(iuTog yvyXov Zcp. 20, 
17 s.; 24, 9; yutu nu.6uv Tr)v 

TOV 6ql£0VT0$ 7tSQLCpSQELCCV TT]V 

(letu^v cet. Zcp. 40, 14 s.; 42, 
23 s.; rr)v TH vnsQ yrjv uv- 

TOV (TOV YVYXov) OVGUV TtEQL- 
CpEQELCCV SXCL660VCC SLVCCL Cet. 

'Etc. I 96, 17 s.; r\ EJ tlsql- 

CpSQSLCC TOV gcpdLCCHOV 1 96, 

20 s.; dcodExccTrj[LOQLOV, £codiov 
vel ^cpdicov TtEQLCpEQSLcc: vide 
haec vocabula et conf. rjfiicvg. 

r) Ed TtEQLCpEQElCC OVTE UVU- 

teXXovgcc OVTS SvVOVGU OQU- 

tccl 'En. II 108, 7 s., ac simi- 
liter passim (conf. haec verba) ; 
7tSQLtpEQSicc scoccv uvuToXr)v vel 

E67tSQlCCV SvGLV TtOLELTCCL, Vel 
T^V V71SQ yijv CpOQCCV CpCCVSQCiV 

Ttoioviisvri'. vide scoog, scns- 

QLOg, TtOLSLV med. EGTLV r) 

©K TtsvTE (irjvcov 'En. II 136, 

16 S.; (nSQlCpSQELu) LlEl'£cQV 

r)aL60vg svlccvtov 2%. 68, 31. 
Conf. (ir)v. 

TtEQLCp SQEIV: paSS. TtSQLSVS- 
%&EV TO ^LI^VyXlOV 2cp. 4, 13; 
tov nuvTog 7tSQisvsy%svTogS%. 
122, 17; siniiliter 122, 29s.cet. 

TtEQLCpOQCC: EV Tjj nSQLCpOQU 

Tfjg ecpcciQCcg Scp. 8, 1 8. ; 16, 
3 s ; 20, 3 s.; 22, 1; 30, 20; 

SV (LLU 7tSQLCpOQCC TTjg 6CpCCLQCCg 



36, 3 s. 10; 40, 8; sv Trj nsQL- 
cpoQcc (scil. T?jg acpccLQccg) 14, 
24 s.; ycctcc nuauv nsQicpOQccv 
Tr)g acpccLQccg 44, 14 s. — r) tov 
nccvTog nsQicpOQcc £%. 106,25; 
8lcc dsYccnsvTS nsQLcpoQcov 'En. 

I 74, 16; sv r|f' nsQtcpoQULg 
Z%. 76, 26. 28 s.; to rjfiiav 
tcov xis 2%. 76, 30s.; iv 
oXccig nsQicpOQcclg 'En. I 74, 
10 s.; i| oXcov nsQicpOQcov yul 
tstccqtov I 74, 18; sXXsinsL 

ECp' oXcCLg nSQLCpOQCCLg YCCL (10- 

qlov tl nsQtcpoQccg I 74, 13 s. 
Conf. rjfiEQcc. 

ninTELv E%. 76, 31. 

nXr)v Scp. 8, 21; 12, 6; c. gen. 
46, 15. 

nXrjQovv: otclv (6 r)Xiog) nXrj- 
Qcoarj ccvTccg (Tccg nsQicpEQsiug) 
Z%. 60, 29. Conf. 6v(inXrjQovv. 

nXr\6lov c. gen. 'En. I 94, 9. 

noLsiv: cbg sv tt\ Y.ccTCCCYEvrj 
noisL (Autolycus scilicet) Z%. 
154, 25; dicc xo xov yjXlov — 
cccpccvr) ccvTr)v (Tr)v nsQLcps- 
qslccv) notSLV 2%. 110, 28; 

(CCL SV&SLCCl) nOLOVGLV 6k,ELCCV 

ycovLccv Z%. 26, 34 s. ; ycc&cc 
noiovGL crjfiSLCC ot nuQccXXrjXoi 
Z%. W, 28 ;^ (to snlnsdov) 
noirjosi TO(ir)v sv Tfj ccpcciQcc 
yvyXov Scp. 6, 23 s.; similiter 
4, 11 s. — (6 r)XLog) ttjv scoccv 

dvCLV nOLEL TCp d CCGTQCp 'En. 

II 122, 3 8.; similiter t^v 
EGnsQiccv Svciv II 122, 5 s., 
rr)v scpccv ccvaToXr)v II 122, 

8 S. Cet. , Tt)v SCpCCV CpCCLVOlLE- 

vry EniroXrjv 2%. 58, 27 8. 
30; (6 Yvv.Xog) t^v ccvcctoX^v 
noLr)csL Z%. 22, 30 s. (ubi 
noir)csTccL requirit usns di- 
cendi). — med. v.av ty)v ccno- 
6tccgiv tov r)Xiov tt)v (LETU^V 
Tr : g NK noi-rjccofiE&u H%. 70, 



222 



noiog — noXvg 



27 s.; (nsQLCpSQSLu) xr\v insQ 
yr)v cpoQUV cpuvsQuv noiov- 
(isvr\ 'En. II 108, 9; ? 110, 8. 
— (%v-aXol) xdg xs dvuxoXug 
■nul xdg 8v6SLg noiovvxui Zcp. 
22, 9. 20 s.; 24,20; similiter 22, 

22, item (y.vv.Xog) noisixuL 42, 
24 s.; noL£L6&co 6 AB -*vy.Xog 
8l' ccXXov xLvbg 6r\asCov xr)v 
dvuxoXr)v 22, 23 s., item xr)v 
dvuxoXrjv noLr\6sxuL 24, 16. 
18; r) psv 4H nsQicpEQELU 
scoav dvaxoXr)v noisixuL, r) 8s 
E® s6nsQLav 8v6lv 'En. II 
110, 11 s.; similiter 110, 15. 
17 s. 20 s. — (u6xqu) scouv 
cpuLvo[isvr\v Svezv noLsixaL 
'En. I 60, 24 s., item (u6xqov) 
dvuxoXr)v II 108, 15; (u6xqu) 
xdg xs dvaxoXdg %ul xdg 8v- 
6sig s6nsQi'ag xs nal scpag 8i' 
svluvxov noLSLxazlI 114, 11 s.; 
xb B u6xqov dnb scpug cpai- 
vo(isvr\g snLxoXrjg scouv cpaL- 
vofisvrjv noLsixaL 8v6iv 1 66, 
4—6; similiter 68, 4—8; 70, 
9 s. 12 s.; 74, 25 s. cet.; II 
112, 25 ; 114, 9 cet.; xo H 
&6XQ0V dnb s6nsQiag s6%dxrjg 
cpu6Scog scouv nQcoxrjv cpu6LV 
noLsixaL I 82, 5 s.; similiter 
80, 16 s.; 84, 8—10 cet. (conf. 
ytyvs^&uL, nuQsivuL, cpu6Lg)\ 
xr)v uXr\%Lvr\V scpuv snLXoXrjv 
noLOvpsvov (u6xqov) I 72, 27; 
74, 22 s.; similiter Z%. 122, 
23—28; sy.u6xov xtbv dnXu- 
vcov a6XQcov xcbv dvuxoXug 
(vel dvuzoXdg xs vel snixoXdg 
xs) Y.ul 8v6sig noiovfLSvcov 'En. 
I 72, 25 s.; 74,20s.; 84, 12 s.; 
similiter II 146, 28. Prae- 
terea iu eodem dicendi genere 
occurrunt formae noLsixuL 2%. 
68, 30 cet. ; noLSL6&co Z%. 82, 

23. 24; noisie&uL 2%. 92, 22; 



noLr { 6sxuL 'En. II 114, 3; 138, 
11; 144, 12; snoLr\6uxo 2%. 
116. 29; denique eodem per- 
tinere videtur locus lacuna 
corruptus Z%. 116, 32: snoLr)- 
6uxo ov% r\v [isXXsl noisie&ui. 
— 6 r\XLog xr\v scpuv uvxov 
snLxoXr\v noLsixuL Z%. 116, 26 
[immo noLsi, ut supra inde a 
verbis (6 rjXiog) xrjv scpuv cet. 
demonstratum est]. 

noiog Z%. 126, 16. 

nbXog sexl xb A 6r\(isiov xov 
AZH nvnXov Zcp. 20, 26; item 
nbXoi circuli 4, 21. 27; 6, 1. 
4. 12 cet., sphaerae 2, 15. 17 ; 
4, 6. 11; 6, 12 cet.; nbXcp xcp 
d 8LU6xr\fiuxL 8s x<p Ad y,v- 
uXog ysyQUcp&co Zcp. 18, 10 s.; 
similiter 2%. 24, 22; 6 nbXog 
xcov nuQuXXrjXcov y.vkXcov Zcp. 
22, 25 s.; 8lu xcov nbXcov xrjg 
6cpuiQug vel brevius 8iu xcov 
nbXcov Zq>. 14, 16. 22; Z%. 
14,31; 16,6; r) BZ U nbXov 
S6xiv Z%. 28, 35 s.; similiter 
28, 20. 36; r) su xov nbXov 
Z%. 20, 29; ul sv. xcbv nbXcov 
Z%. 18, 25; $oqeloq nbXog 2%. 
144, 27; dcpuvr)g et cpuvsQog 
nbXog: vide haec adiectiva. 

noXv adv. : nXsov r) 8Cg Zcp. 
40, 7; xo6ovxcp nXsov Z%. 152, 
21; noXXcp nXsov 2%. 92, 24. 
25 s.; 108, 25. ^ 

noXvg: nXsicov 'En. I 60, 26; 
62, 9; 64, 15; 102, 11 cet.; 
8lu nXsiovog %qovov et simi- 
lia: vide Slu et svLuvxbg; iv 
nXsiovL %qovco 21%. 84, 23 s. ; 
8lu nXsibvcov r) xqluhovxu r)(is- 
qcov 'En.ll 134, 7 8.; ^138, 
23; 8lu nXsibvcov r)[iSQcbv X' 
Z%. 134, 27. 30; nXsCovug 
r\[iSQug 'En. I 80, 17; 82, 6 s.; 
84, 10; nXsov 8' sxl s%sl Z%. 



7Z0QEVSG&CU — nQOKOnTE IV 



223 



134, 26 s.; nXsov ans%SLv vel 
cicpCGTttG&aL 'En. II 150, 2; Z%. 
126, 29; 150, 26 s. 29 (conf. 
haec verba); noXXep nXsov: 
vide tioXv-j kcctcc nXsCova Gr\- 
lisia Zcp. 32, 3s.; Z%. 30, 24. 
— nXsovas P- XL adnot. ad 
82, 6 ; 

710Q8 VS G&CCL: SGTCO r]V 710- 
QSVSTCCL 6 rjXlOS — nSQLCpEQSLCC 

r) EK 'En. II 120, 10-13; 

similiter noQSVEG&co I 78, 2. 
noQLG^ia sv zm a sphaerico- 

rum Theodosii, ut videtur, 

Z%. 18, 22. 
noQQcoTSoov p. XXIX adnot. 

ad 24, 13. 
noTS Z%. 94, 22. 
nov indef. Z%. 76, 30. 31. 
nQiv c. indic. fut. Z%. 78, 24; 

c. coniunct. Z%. 86, 17; c. in- 

fin. 'En. I 48, 16. 18; 54, 8. 

25; Z%. 78, 26; 80, 26. 32; 

116, 34. 
nQO tovtov Z%. 10, 31; 52, 30; 

(G7](iELtt y ccgtqcc) nQO zov A 

uvaTsXXsi Z%. 50, 26; 56, 29; 

TO nQO TOV SV Cp EGTLV 6 7]XlOS 

Z%. 119, 2 s. nQO tov tov 

r]Xiov uvutslXul Z%. 96, 30. 

noouv utsXXslv: nQoavuTsX- 

Xsl ccvtov to &'En. I 78, 18; 

TOV N nQOttVCCTEXXSL to © II 

116, 7 s.; similiter 118, 8; 
120, 18; 136, 18; Z%. 110,29; 
118, 31 cet.; to H nQoavcc- 
tsXXsl (sine genitivo) Z%. 56, 
31; similiter 116, 22; nQouvu- 
tstuXhotcov (^codCcov) 'En. II 

, 112, 2. 

nQofittCvsLv: sav (6 7]Xiog) 
nQofiy tov H Z%. 156, 30; nQO- 
pccCvsL to frscoQrjntt Z%. 128, 31. 

nQods lhvvvccl: pass. nQoSs- 
dsLHTttL Z%. 26, 25. 

nQodLOQLGiiog Z%. 26, 16. 



nQodvvsLv: nQodvvsL to E 
tov K 'En. I 80, 6; similiter 
II 136, 9—11. 24 s.; Z%. 98, 
28; 108, 28; zov r)XCov nQO- 
rjyovfisvov avTr)s •accl Slu 
tovto nQodvvovTog Z%. 110, 
30 s. 

nQOEQ^sG&ttL: nQosX&ovTog 
uvtov (tov r)XCov) Z%. 122, 
22. 

nQor\ysLG&ai: nQor\ysLTccL to 
A tov K 'En. II 124, 3 s.; 
similiter 128, 2 cet. ; Z%. 88, 
23; tcov dcodsua gcpdCcov to 
nQorjyovfjLEvov zov sv cp egtiv 
6 tjXlos 'En. II 110, 4 s. ; nQO- 
r t yov(isv6v sgtl to r Z%. 108, 
31; similiter 50, 28 s.; 56, 31; 
110, 24 cet. ; nolov sgtl to 
noor^yoviisvov Z%. 126, 16; 
egtl nQorjyovfisva tcc (ugtqu) 
Z%. 144, 27; cbs nQor t yov[LSva 
Z%. 56, 29; zcov nQorjyovfis- 

VCOV TLVL CCVTOV TO M GVV- 

dvGSTcci 'En. II 126, 5 s. ; si- 
militer II 138, 18; 144, 18 s.; 
Z%. 144, 28 (conf. snsG^uL et 
riyELG&ttL). — tov r)XCov 7tQO- 
rjyovfisvov uvzr)s (Tr)s nsQL- 
cpsQsCcts) Z%. 110, 30. — ccl 
scpccL dvGSLS tcov scpcov inc- 
toXcov nQor\yovvTUL 'En. II 
122, 12 s.; similiter 122, 14 s., 
128, 6 s. 9 s. cet.; (sniToXr)) 
nQorjyovfisvr) zov H Z%. 58, 
25. — tu nQorjyov(isva G7](ielcc 
Z%. 50, 24, item omisso cr\- 
(islcc 50, 28. — sls tu nQO- 
rjyoviisvtt (isqt] Z%. 122, 34; 
sls tu nQorjyovtisvu Z%. 181. 

nQOisvuL: Httfra nQOSLGiv 6 
t]Xlos Z%. 50, 25 s.; r) ocno- 
dSL^LS nQOSLGLV Z%. 119, 1 s. 

nQO-nonTS iv : nQO%6nTOVTOS 
tov r)XCov Trjv svccvtCccv tco 
navTCZ%. 80, 30 s. Conf. 7]Xlos. 



224 



TtQOg 



ncog 



Ttgog: c. dat. s6rco uvut.oXly.u 
(isv (isgrj tcc KQog tcp z/ (scil. 

6r}(lSLCp) , dvtLY.CC. 8% td 7lQ0g 

tcp B 'Etc. I 50, 12 s., tov 
r)XCov ovtog nQog tcp E I 52, 

.4, ac similiter passim (item 
in scholiis, velut 58, 20 s.; 
64, 22. 26 cet.); TtQog tcp 
ccvtcp or}(i8Lcp 2%. 26, 31; 7tQog 
tcp cpccvsQCp vel ucpuvsL noXco 
2cp. 16, 22 s.; 18 r 5 s.; 32, 
9 s. 11; tov A TiQog tij dvoei 
ovtog 'En. I 66, 10; rtQog 
Svofialg II 150, 7; rtQog tuig 
dvutoXuig 2%. 80, 31 s. — C. 
accus. tbv uvtbv s£sl Xoyov 
o ts XQOvog nQog tov %qovov 
— v.ui r) yQU(i(ir) rtQog tryv 
yQU(t(ir)v 2cp. 2, 7—10; (mv- 
%Xoi) oq&ol 7tQog tbv ai\ova 
2cp. 2, 16; 4, 7; 6, 5; TtQOg 
OQ&ag: vide oofroff; ttoos aW- 
toXug, 7tQog uqhtov, rtQog 
UQurovg, TtQog (is6r}(i§QLav: 
vide haec substantiva. 

7tQOGsti p. LV adnot. ad 12, 
23—25. 

TCQ06Y.SL6%'UL: Y.OlVY\ 71Q06- 

Y.st6ftco r) KN (nsQtcpSQSia) 
'Ert. I 68, 2 s. ; similiter I 70, 
4 s.; 2%. 18, 17 s., et conf. 
p. XXXVII adnot. ad 64, 6. 

7tQ06Xu(l(}avStV: KOLVr] 7tQ06~ 

stXr'}<pftco r) NO (nsQtcpsQStu) 
'Eit. II 116, 4 s.; similiter 
118, 4. 
7tQ067ti7ttstv: r) Ad svftsiu 

sXu%L6tr} S6ti 71U6COV tcov CCrtb 

tov A TtQog tbv ABr %v%Xov 

7tQ067tl7tr0V6C0V SV&StCOV 2cp. 

20, 22-24; similiter 24, 10— 
12. 

ttQ06tlQ-SVUt: 7tQ068d"r)HS 2%. 

140, 28. — pass. %otvrjg tcqo6- 
ttd-Sfisvrjg tr)g &N 2%. 70, 
28 s. 



7tQO tu6 tg: tct dtu trjg TtQO- 
tuescog 'Ert. II 122, 1 s.; sv 
tfi 7tQ0tu6st II 134, 24 s. ; 2%. 
114, 24 s.; cpvXurro(isvov rov 
rrjg 7tQoru6scog 7tQodtoQi6(iov 
2%. 26, 16; 7tQoru6s tg a Da- 
sypodio additum 2<p. 2, 11; 
'Etc. I 50, 5. 

TtQorsQOv 2cp. 8, 1; 32, 11; 
34, 23 cet.; 'Eir. I 52, 6. 24; 
54, 12. 29 cet.; %a&u %ui 
TtQorsQOv 2%. 26, 21 s. ; ru 
uvrcc roig rtQorsQOv 2%. 26, 
22; idem c. gen. 2cp. 34, 13. 
16. 27 cet.; 'Etc. I 64, 13; 68, 
10; 84, 4 cet.; 2%. 108, 31; 
r) cputvofisvr) 7Cq6tsqov S6rt 
rr)g uXr}%-tvr)g 'Etc. I 54, 3 s. 
16. 20 s.; at vero tcqotsqu I 
56, 4 (conf. 7roo'rfooc). 

TCQorsQog: ui s67CSQtut snt- 
roXat rs %ui 8v6stg ui cputvo- 
(isvat TtQorsQut st6t rcov uXrj- 
fttvcov 'Etc. I 50, 8 s.; r) 
cputvo(isvrj (s67CSqlu dv6tg) 
TCQorsQU S6riv rr)g uXr}dtvr)g 
I 56, 3 s. ; similiter I 58, 5 s.; 
60, 12 s. cet. (conf. uXrj&t- 
vog). 

TCQcorov 2%. 48, 21; 52, 30 
cet. 

TtQcorog: r] scpu TtQcorrj opctetg: 
vide hoc substant; r) scou 
TtQcorr} sntroXij 2%. 80, 34; si- 
militer 2%. 58, 19; 82, 24; 
116, 29 (conf. E6%urog)-, rb u , 
scil. Pl§Xlov, 'Etc. I 48, 3. 

TCQcorcog Etc. I 48, 16. 19; 52, 
22; 60, 9; 78, 9; 82, 15; 84, 
18; 2%. 58, 21. 27; 80, 27. 
32. 33; 84, 30; 88, 30 cet. 

tcco: (irids tcco 2%. 58, 22. Conf. 

(irjdsTCco et (ir)7tco. 
Ttcog 2%. 119, 7. 



Zucpr t vsiu — 6vvuvuxsXXsiv 



225 



Zacpr t vs Cag %uqiv Z%. 64, 16. 

6ucpcog : 6ucps6xsQ0v 2^.70, 30. 

crjfisiov Zcp. 2, 6. 8; 4, 8. 
18 cet., ar^sta 2, 4. 14; 4, 
4. 21; 6, 3 cet.; xd A B 6rj- 
llslu Zcp. 4, 1, vel brevius xa 
B A 'En. I 66, 8, ac similiter 
passim; vuzd zo szsqov xrjg 
xo(ir]g (scil. 6tjlislov) Z%. 16, 
28; (xd Grjfisia) vvvXovg yQu- 
ipsi Zcp. 4, 26; 6, 4, ac simi- 
liter passim (conf. yQucpsiv); 
xcov u(iu dvaxsXXovxcov 6rj- 
(isCcov Zcp. 32. 9. 

GXQScpsiv: pass. sav GcpatQa 
GXQSCprjxai 6(iaX<og tcsql xov 
savxrjg d£ova Ecp. 2, 12 s. ; 6, 
7 s. ; 10, 10 s.; similiter gxqs- 
cpsGfta 4, 1; 6, 11; GXQScpo- 
(isvrjg xrjg 6cpuCQug 8, 11; 12, 
10. 18 s.; 14, 24; 28, 15; 30, 
5; 32, 4 s.; 34, 21; 38, 4 s. 
12; 44, 17 S. ; 6ZQScpo(isvr t g 
avxfjg 14, 18 s. ; 6 vo6(iog 
6tQScpsxai Z%. 152, 27 s., 6xqs- 
cps6&a 'En. II 108, 3 s.; 6xqs- 
CpOflSVOV XOV V06LL0V II 110, 
16 s. 

6v£vyCu: vuxd 6v£vyCuv 'En. 
I 62, 17; 72, 9; 96, 4; Z%. 
88, 19. 26. 

6V(i@aXXsiv: 6 AZHv.vv.Xog 
6V(i($uXsl xcp ABT 6qCc,ovxi. 
6vll§uXXsxco vuxd xo A gtj- 
llslov Zcp. 20, 4 s.; similiter 
GV(i§aXsL 14, 6 s.; to6xs vuxd 
nXsCovu 6rjfisCu 6vlll3uXXsiv 
xovg vvvXovg Z%. 30, 24. 

cvintSQicpsQsiv: pass. gv(l- 
7iSQisvs%&rj6Sxai uvxtp (xtp 
r)aivvvXCco) val rj Td sv%siu 
Zcp. 4, 15. 

6v (inCnxsiv: ol nuQuXXrjXoi 
(vvvXoi) ov 6V(inCnxov6iv Z%. 
14, 29; 6V(inCnzsL p. XXVI 
adnot. ad 14, 16. 

AutolycuB. 



6V(inXrjQovv: oxuv (6 rjXiog) 
6v(inXr}Qc66rj uvxdg (xdg nsQi- 
cpsQsCug) Z%. 58, 34. Conf. 
nXrjQOvv. 

6vv uvuxsXXslv: xto rjXCtp 

UVUXSXXoVXL VUXU XO A U6ZQU 

xivu 6vvuvuxsXXsl 'En. I 62, 
10 s. ; similiter I 72, 25 s.; 
74, 8s. 12. 21 s. cet.; Z%. 74, 
28 s.; xo A xco d 6vvuvuzsX- 
Xsl 'En. I 56, 10 s. ; similiter 

1 90, 2; Z%. 56, 26 s.; 116, 22 
cet.; p. XLI adnot. ad 90, 2; 
(zo M u6zqov) u(iu avxta (xtp 
©) 6vvuvuzsXXsl 'En. II 116, 
16; oxuv U(iu xcp r)XCcp uva- 

XSXXOVXL U6XQ0V XI 6VVUVU- 

xsXXrj 'En. I 48, 8; p. XXXV 
adnot. ad 48, 12 ; u6zqov xl xcov 
dnXuvtov gvvuvuxsXXsxco xo d 
'En. I 50, 15; 56, 24 s.; 74, 
4s.; p. XXXIX adnot. ad 76, 
5. 6; similiter 62, 5 cet.; 
xo E xco A gvvuvuxsXXsxco II 
142, 7;' similiter 148, 3. — 

XO 6VVUVUXSXX0V U6XQ0V xto 

B dvvovxi I 66, 15 s.; simi- 
liter II 144, 18 s.; Z%. 98, 
29; 102, 28; xtp S ullu S6xlv 
6vvuvuxsXXov xo M 'En. II 
116, 8 ; xo 6vvuvuxsXXov ugxqov 
xov z/ dvvovxog I 68, 18 s. 
(conf. p. XXXVIII adnot. ad 
68, 19); xd M N 6vvavaxsX- 
Xovxu xcp © Z%.^ 114, 22; 
dns%siv dicuntur xd 6vvuvu- 
xsXXovxu xtov 6vvdvvovxcov 'En. 
II 142, 1; Z%. 140, 29, vel 
xd evvdvvovxu xtbv 6vvuvu- 
xsXXovzcov uvzolg 'En. II 134, 

2 s., vel zd 6vv8vvovzu uno 

XtOV 6WUVUXSXX6VXC0V U6XQC0V 

II 144, 9 s., vel xd 6vv8v- 
vovxa u6xqu ano xtbv 6vv- 
uvuxsXXovxcav II 152, 9 8., vel 
xd 6vv8vvovxu ano xtbv cvv- 
15 



226 



6vvwno8siY.vvvuL 



TYJQSLV 



uvutsXXovtcqv II 146, 23 s. ; 
150, 1; 154, 19 s.; 156, 26 8., 
vel denique tcc 6vvsntT sX- 
Xovtu dnb tcov 6vv8vv6vtcov 
II 138, 8 s. — tb A cc6tqov 
6vvuvutelXul tcq rjXicp 'En. I 
74, 15. — Conf. 6vv8vvelv. 
Gvvanod sinvvv ai:x)a.ss.Gvv- 
unoSsixvvTUL 2%. 114, 23, 

6w8vV£ LV. (aGTQOV TCO rjXico) 

cvvdvvEi *E%. I 72, 28; 74, 
24; to © cc6tqov tco K gvv- 
Svvsl I 90, 9; siniiliter II 118, 
9 s.; 134, 22 cet.^ p. XLI 
adnot. ad 90, 9; otuv ulvu 

TCp TjXicp SvVOVtL CCGtQOV TL 

GvvdvvTj 'En. I 48, 13 s.; (tb 
H) GvvdvvETco tco © II 124, 
4 s.; 128, 15; similiter 126, 
6 ; 148, 3 cet. ; 6vv8vvetco to 
N, scilicet tco M, II 116, 18. 

(cCGTQOv) GwSvVOV TCO T 

'En. II 144, 18; tcc gvvSv- 
vovTa et tcov 6vv8vv6vtcov: 
vide 6vvuvutsXXslv sub finern. 

— 6vv8vvul tov tJXlov tco A 
aGtQcp 'En. I 76, 15 s. — 6vv- 

8v6StUL tCp rjXLCp tO A CC6TQ0V 

'En. I 72,' 14 s.; 6vv8v6etul 

TCp M TCOV EnOflEVCOV TL TCO © 

II 116, 17 s.; similiter II 124, 
3 s.; 126, 5 s.; 128, 15 cet. 

cvvsyyvg: y.utu r6 6vvsyyvg 
2%. 64, 29. 

gvv stclteXXelv: vide 6vvava- 
tsXXslv sub finem. 

GcpuLQu2cp. 2,12.13.15. 17; 4, 
4. 6. 9. 18. 23 cet.; nsQL xi- 
vovfisvrjg GopaiQag: vide Av- 
ToXvxog; 6TQEcpo(isvrjg Ttjg 
GopaiQag: vide 6TQScpELv; snl 
trjg OQ&rjg 6cpuiQug 2%. 14, 
30; 26, 19. 

GopaiQL-nd: vide @so8o6Log. 

Ta6 6SLv: rcov inl tov ^coSlu- 



HOV TETayflEVCOV U6TQCOV 'En. 

II 118, 14 s.; 138, 14; 142, 
4; 144, 14 s.; 152, 14; 154, 
16. 22 s.; 158, 5; item omisso 
U6TQC0V II 146, 27. 

TuvQog, signuin zodiaci, 2%. 
106, 24; 128, 20. 23—26. 

Tu%scog: ftutTov 2%. 124, 30. 

te — y.ul 2cp. 2, 5. 8 s.; 12, 
9. 17; 14, 17. 20. 23; 16, 7. 

17 s. 20. 21 cet.; 'En. I 48, 
5; 50 ; 7 cet.; 2%. 64, 31 cet. 

tsybVELv circulus circulum di- 
citur his formis: tellvel 2cp. 
16, 7; 20, 8; 24, 3; 26, 5; 
38, 1; 2%. 16, 27; T£[ivov6L 
2%. 18, 27; TEfivr] 2op. 42, 
27; TEfivsTco 44, 3; TSfivovTsg 
22, 7; 30, 13; te(iel 16, 7; 
20, 9; 24, 4; 26, 5; te{iov6lv 
32, 3. — pass. : nsQicpEQELu 

ELg UVL6U TE{IVSTUL 2cp . 20, 

18 s., item TSTfirjTUL 24, 9; 

TST\JL,r\6$C0 rj BV (SlULLSTQOg) 

8i%u 2op. 44, 8 s.; item nsQL- 
cpsQSLu 'En. II 108, 6; 114, 
1 s.; 142, 11; 148, 8 b.; 156, 
6. — Svo sninsSu nuQuXXrjXu 
tu AB rj vno TLVog sni- 

nsSoV TOV Z© TEflVETUL 2cp. 

28, 5 s. 
TE66UQsg ycoviuL ui nQog TCp 
HEVTQCp 2%. 34, 30 s. 

TETUQTTJH OQIOV. TETUQTrjflO- 

Qi0V E6TUL 6 ZP 2%. 28, 19 s. 
(conf. TOfisvg); [iel£cov tetuq- 
TrjfioQiov r) HP (scil. nsQLcps- 
qslu) 2%. 28, 21 s.; similiter 
sXu66cov 2%. 20, 29; 28, 23 s. 

tstuqtov (nsQicpoQug) 'En. I 
74, 18; 2%. 76, 29; (vv%&rj- 
(isqov) 2%. 74, 27. 28. 

Tr\XLY.ovTog 'En. I 52, 2. 19. 

ttjqelv: pass. kul snsl TEtr]- 

QTJTUL TCC U6TQU SV L6C0 %QOVCp 

SKCpsvyovTU Tug tov r)liov uv- 



xtg 



VrtSQ 



227 



ydg 'En. I 64, 3— 5; xsxrjQrj- 
xai yaQ iY.ccGtov rcov dnXavcov 
aatQcov dtd dsnansvxs nsQt- 
cpoQcov iv.cpsvyov xov r t Xiov 
xdg avydg I 74, 15 — 17. 
xlg indefin.: ini xtvog yQacL- 

Ltfjg CpSQOLLSVLV Xl 6rj[L8L0V Zcp. 

2, 6; cc6xqov xi 'En. I 50, 15; 
a6XQa xtvd I 62, 4. 10 s. ; 
nsQtcpsQEtdv riva 1 66, 20; 
hvhXov xtvog Zcp. 20, 12, 
ycvrcXov xtvd 20, 7, xtvd nv- 
%Xov 'En. I 96, 17; pxoa xtg 
naQaXXayfj I 74, 14; fjLLSQag 
xtvdg I 76, 24; tis&' fjLLSQag 
xtvdg Z%. 84, 23; LLSxd rtvag 
r)itSQag 'En. I 50, 22 B.; 52, 
18; dXXog rig: vide dXXog. 
Praeterea enotavimus formas 
xl Zcp. 4, 8; 8, 20, xtvi 'En. 
II 124, 4, xtvd Zcp. 6, 14; 10, 
12. 15. 

xctfjLLa: inl diaLLSXQOV xfjg AT 
TLLrjLia nvytXov 6q&6v icps6xrj- 
%sv xo AJT Zcp. 20, 13—16; 
similiter 24, 7 s. ; r) xov scps- 
6xcoxog xLLrjLvaxog nsQtcpSQSia 
20, 16—18; 24, 8 s.; (isxd xrjv 
dt%oxoLLtav xov BZTx^fjLtaxog 
Z%. 90, 25 s. 

xo tyaQovv p. LXI adnot. ad 
92, 22. 23. 

xoivvv. %a\ xoivvv 'En. I 62, 
20; 100, 3. 13 s. 27; 102, 2; 
104, 12. 23; 106, 6. 10; Z%. 
64, 20; p. XIV. 

toiovtog: i%sxco xotavxrjv %s- 
6tv co6xs cet. 2%. 90, 25. 

x o fi s v g omissum : 6 ZP 2%. 
28, 20 (nisi forte legendum r) 
ZP, scil. nsQicpSQSta: conf. 
p. LVII adnot. ad h. 1. et 
p. 162 adn. 1). 

xoLtfj: (xo ininsdov) noifj6St 
xoLirjv KVTiXov 2cp. 4, 11 s. ; 
6, 23 s.; r) xotvr) xollttj r) xiav 



AB TJBA (hvhXcov) r) AB 26, 
8 s. ; similiter 44, 6 s.; nafto 
S6xtv r) xollttj 2%. 16, 27 s. ; 
naxd xb sxsQOv xfjg xoLtfjg, xo 
B, 2%. 16, 28; at notvai av- 
xtov (xcov imnsdcov) xollul 2cp. 
28, 6; rtQog CQ&dg xr) notvf 
xoLifi 2%. 26, 30 s. 33. 34. 

xortog: ini xov Z xonov ' En 
II 112, 9 s.; similiter 114, 5 s. 
6; 124, 16 s. cet. Usitatior 
est formula sni xov A vel 
similiter, scil. 6rjiL£tov. Conf. 
II 124, 8 s. 13. 19. 20 cet. 

xo6ovxog: xoeovxov %qovov 
'En. II 158, 26; oooo — xo6ovxco 
2%. 152, 21. 

TOTf 2cp. 30, 21; 38, 14; 2%. 
12, 23; 14, 30; 58, 27 cet, 

xovxs6xtv 'En. I 78, 11. 18; 
80, 6; 84, 19; 86, 7; 2%. 22, 
28; 36,15; 50,26; 52,30 cet. 

XQStg 2%. 28, 34; XQta 'Ert. 
II 112, 24. 

XQtdtiovxa 'Ert. II 122, 4; 
134, 8. 12; X II 118, 20. "26; 
122, 9; 138, 12. ^ 

XQtay.o6tot s^r]y.ovxa 
■nsvxs: xi\s vvyprjLtSQa %ai 
xsxuqxov 2%. 74, 27; xt-s rtSQi- 
cpoQai 2%. 76, 26. 28 s. 

XQOrttnu g, scil. v.v%Xog: xqo- 
rttxoi s6tco6av ol TA EZ 'En. 
II 112, 22; similiter 114, 13. 

xvy%dvs tv: slXrjcpftco xtvd 
6r t LL8ta ini xfjg ZT nsQtcps- 
Qsiag xv%6vxa xd © K Zcp. 
42, 3s.; xo H xv%6v 6rjLLStov 
Z%. 26, 20 s. 

1 Trt uq%slv, synony mum verbo 
slvai: vnaQ%rj Z%. 126, 15; 
vnaQ%6vxcov 'En. II 112, 14. 

vrtst-utQStv: vrts^sXr/ Z%. 72, 
29. 

vrtSQ yf,g vel yrjv, vtcsq tov 
15* 



228 



V7tEQ7tL7TtELV 



(PuiVEO&CCl 



oqCqovxu: vide yr) et 6qC£cov; 
iltEQ 7]fiL6V 'En. II 110, 13. 
19; 2%. 110, 33. 

VTt E QltlTtX EIV. (fj nEQlCpEQELu) 

vnEQnCnxrj xr)v d@ 2%. 128, 
30 v 
vno: r) 7t£Qis%0[iEvr} o£elu yco- 
vCa vnb xcov — dyofisvcov 2%. 
26, 30 s.; r) vnb xcov KM® 
ycovCu 2qp. 28, 1; similiter 
28, 3. 8. 9. 11 cet,; 2%. 26, 
35; 28, 17; 17 vnb H2P 2%. 
28, 26 s.; similiter 28, 28. 
31 s. 33. 34; (£cpdCov) y.uxe- 
%0[JL£VOV XOV rE VTtO xov r)XCov 
'En. II 112, 15; (olgtqov) 7t£- 

QLYUTuXufl^UVE6%C0 VTtO XOiV 

xov r)XCov uvycov I 78, 6 — 8; 
82, 13 s.; (u6xqu) unoXu^u- 
vexul vnb xov ^co8luyov cet. : 

Vide U7t0Xu(xfi0CV£LV. — VTtO 

yr)v , vnb xbv oql^ovxu: vide 
yr) et 6qC£cov}(u6tqov) xb vn' 
uvxbv (xbv £co8luy.6v) 2%. 132, 

^29. 

vnod £%£6&ul: (u6tqu) tu 
vnods%6fi£vu xbv t{Klov 2%. 
128, 22. 

vnoYE l6&ul: vnoYSLXUL c. inf. 
'En. II 108, 11; 112, 7 cet. ; 
2%. 28, 36; 92, 21 cet.; item 
vnoasCe^co 'En. I 90, 20, vno- 
y.sl6&ul I 86, 13; xovxo yuQ 
iv xrj nQ0xu6EL PovXexul vno- 
Y.EL6&UL II 134, 24 s.; on£Q 
ov% vnoY.iixuL 2cp. 44, 24; 
46, 13; 2%. 22, 32; cog vno- 
y.£lxul 2%. 28, 18 s.; xcov uv- 
xcov vnoY.£L[i£vcov 'En. II 116, 
15; r) dH iXu66cov vnoYELXUL 
2%. 134, 33; vnoY£L6%-co 6 
rjkLog Svvcov 'En. I 58, 3; 60, 

v6xeqov 2cp. 32, 10; 'En. I 
50, 22; II 126, 1; 128, 3cet.; 
2%. 124, 29 cet.; idem c. gen. 



2cp. 32, 23; 34, 14; 'En. I 
64, 13; 66, 9; 96, 10. 14 cet.; 
2%. 102, 27 cet,; r) cputvo- 
{tEvrj voxeqov E6XL tfjs uXr\- 
d-Lvrjg 'En. I 52, 10. 14. 27 s. ; 

V6XEQ0V EL6LV UL CpULVOflEVUL 

xcov uXrj&ivcov I 62, 12 s. Conf. 
nQoxEQOv et voxEQog. 
V6X£Q0g: UL ecoul EnLxoXuC X£ 
Y.UL 6v6ELg UL CpULVOflEVUL V6TE- 

qul EL6LV tcov uXrfocvcov 'En. 

I 50, 6 8; V6TEQUL e16lv ul 

CpULVOflEVUL TCOV uXrjd^LVCOV I 

56, 26; r) qpuLVOfisvrj inLToXr) 

TOV A U6TQ0V V6TEQU E6TLV 

Trjg aXrftivr)g I 50, 17 s.; V6TE- 

QOV E6TL TO & TOV M 2%. 88, 

30 s. 

<&ulv£6&ul, plerumque cum 
participio positum: to J 

U6XQ0V OV CpULVEXUL uvuxeX- 

Xov 'En. I 50, 19 s., vel cpuvr r 
6Exul uvuxeXXov 52, 1, vel 
dvvov 52, 19 cet.; cputv£6&co 
xu A z/ r uvuteXXovtu I 96, 
1 s ; rarius cum adiectivo : 

cpULV£6&Ul TO (U6TQ0V) ECpOV 

2%. 119, 2 s. , vel absolute: 

(TO Z/ U6TQ0V) CPULVE6&CQ nQCO- 

xcog 'En. I 52, 3 s., ac simi- 
liter aliis locis. Subiecti loco 
praeter u.6xqov et u6xqu re- 
periuntur inLxoXr) 2%. 58, 
21 — 23, r)fiLY.VY.XLOV 2%. 64, 
18 s., £cpdiuKOV *ev dcod£Y.uxr r 
ixoqlov ''En. II 106, 18—22, 
ZcoSlov 2%. 112, 27 coll. 112, 
15. — Formae verbi occur- 
runt hae: cpuivExuL 'En. I 50, 
20. 22; 52, 16. 17 cet.; 2%. 
58, 31. 33 cet. ; cpuLvieftco 'En. 
I 52, 3; 54, 9. 26 cet.; 2%. 
78, 23. 24; 80, 26. 27; cpuC- 
ve6&ul 2%. 58, 23; 119, 2. 3; 
cpuivoiiEvov 'En. II 106, 22; 



CfCCVEQCg 



229 



Z%. 52, 30; 64, 19; 80, 31; 
cpccLVOusvov 2%. 112, 27; tq: 
cpcavL{ieva, Euclidis scilicet: 
vide Ev%XsC8rjg; cct cpcavo- 
HEvccl et r) cpccLVOfisvrj: vide 
infra; scpccCvsxo E%. 78, 27; 
80, 23; 86, 19; 92, 25. 27. 
29; scpdvrj Z%. 78,26; 84,29; 
150, 25. 28; 154, 26; cpuvy 
'En. I 48, 17. 19; 50, 2. 4; 
Z%. 48, 21; 52, 31; 58, 21 
cet.; cpuvrjvuL 'En. I 96, 15; 
E%. 80, 21; 119, 3; cpavsv 2%. 
152, 20; cpavfj6sxaL En. I 52, 
1. 19; 54, 9. 26 cet. — at 
sntxoXuC xe nai dv6Sig al (isv 
XsyovtccL dXrj&LvaC, at ds cpaL- 
vollevccl 'En. I 48, 5 s. ; tcov 
cpaivo[iEvcov (scil. snixoXcov xs 
v.al dvGEcov) I 48, 15; at scoccl 
snixoXccC xs -accl 6v6SLg at cpaL- 
vollsvccl I 50, 6 s.; item at 
sansQLai I 50, 8 s.; xov d 
dciTQOV S6xlv r) cpaivousvrj 
scpcc dvuxoXrj I 52, 5 s.; soxco 
xov A aexgov fj cpccLVOLLSvrj 
scocc inixoXfj I 58, 1 s.; r) 
scpcc cpaivousvr} dvaxoXr] £%. 
58, 30; ij scpcc cpccivouivrj snL- 
xoXr) Z%. 58, 21. 24. 28; r) 
cpaivousvrj inixoXfj, scpcc sci- 
licet, 'En. I 50, 17; ltem r) 
cpatjousvrj nQtoxrj snLxoXr) 2%. 
58, 19; r) sonsQLa cpccLvouivrj 
ETtixoXrj 'En. I 56, 19; fj sons- 
qCcc snixoXr) cpaLvoLLivrj 2%. 
80, 33 s.; r) cpuLVOLLSvrj E6ns- 
qccc dvaxoXr) Z%. 88, 24; r) 
S6nsQLa cpaLVOLiivrj E6%dxrj 
snLxoXrj 'En. I 58, 6 s.; rj 
cpaLvoLLEvrj scpcc 8v6Lg Z%. 64, 
25; rj scpcc cpaivoLLEvrj dv6ig 
2%. 64, 27; r) cpaivonsvrj nQcd- 
xcog scptt dv6tg 'En. I 60, 8 s.; 
rj cpttLVOLLsvrj E6%dxrj E6nsQia 
dvcig I 60, 13 s.; sinriliter 



haec omnia aliis etiam locis. 
— at cpccLvou-svccL, scil. scpca 
vel E6nsQLaL snLXoXai xs hccl 
dv6Eig, et similia in citanda 
libri de ort. I propositione I: 
vide dXrj&Lvog. 
cpuvSQog: (nsQLCpSQEiu) oXrjv 
xr\v vnsQ yfjv (vel yfjg) cpoQuv 
cpavsQuv noLOVfjLEvrj 'En. II 
108, 9; 110, 3; (nvxXog) cpcc- 
vsQog Zcp. 16, 23; 18, 6; 20, 
1. 3; 22, 4; usyL6xog xcov ulsl 
cpuvsQcov Zcp. 30, 1 s.; 36, 7; 
'En. I 82, 1 s. ; 6 cpccvsQog 
noXog xrjg 6cpccCQccg Ucp. 36, 8; 
6 nbXog xfjg ocpuLQug 6 cpccvs- 
Qog 18, 7; nQog xcp cpuvsQtp 
ncXcp 16, 22 s.; 18,'5; 32, 9 s. 
11; syyLov xov cpuvsQOv noXov 
32, 20 s. ; xb cpccvsQOv fjLiL- 
6cpccLQiov xf,g ecpaCQccg 12, 9 s. ; 
item omisso genitivo Ecp. 12, 
13; 'En. 1 94, 7. 10. 16. 18; 
96, 8. 12 s. 16; Z%. 96, 31; 
xb cpuvEQOv xrjg 6cpccLQttg, scil. 
r t uL6cpttLQL0v, Ecp. 12, 17; 14, 
23; 16, 20; 18,. 2 s.; 22, 5 s. 
12 B.; 32, 8. 15 s.; 36, 2. 6; 
40, 12. 21 s.; 'En. II 120, 1 s.; 
brevius etiam xb cpuvsQov Zcp. 
14, 17; 'En. II 112, 21; sv 
xco cpccvSQcp Zcp. 14, 13 s. (bis); 
^r^LLELtt) cpccvEQtt 2Jcp. 12, 14; 

XCC ttSL CpttVSQtt (u6XQtt) U%. 

72, 29. — xovxo yttQ cpccvs- 
qov 2^(^.20,21; cpccvsQOv yuQ 
U%. 36, 15; y.ccl cpccvsQOv bxt 
Zcp. 4, 21; 44, 11 s.; 'En. I 
72, 23; 90, 15; II 120, 25; 
cpavsQOV dr) oxl Zlcp. 18, 13; 
'En. II 120, 5 s.; did dr) xovxo 
cpavsQOv oxl I 64, 14; oxl 
ds — cpavsQOV I 92, 10 s.; 
kul cpavEQOv cog II 122, 4; 
yCvsxaL 8e cpccvsQov Z%. 84, 
25. Conf. dfjXog. 



230 



(pcc6ig 



XQOvog 



qpcc6Lg: xb ccoxqov noiSiO^ca 
cpdoLv 2%. 92, 22, vel xccg 
aXXccg qpccGBig noLstxccL 2%. 116, 
24; {ccgxqcc) xr t v scoccv noa- 

X7\V CpCCGLV TCOLSLXCCL 'En. I 76, 

23 s., vel ccnb S6%dxr\g S6ns- 
oiocg qpcc6scog scoccv qpcc6LV noLst- 
xocl nooixrjv I 80, 16 s., ac 
similiter 82, 5 s.; 84, 9 s.; 
(cc6xqov) r) stocc nqmxrj cpcc6Lg 
I 78, 13; 80,' 8; 84, 6; item 
r\ S6%ccxr\ s6nsoLcc qpa.6Lg I 78, 
12. 20; 82, 22; item sine ar- 
tieulo I 84, 1 s.; llsxcc xr t v 
S6%dxr\v s6nsQiccv cpcc6iv I 76, 
23; sSsliIs xccg cpcc6Sig xccv- 
xccg et ccg XsysL cpu6sig 2%. 
134, 26. 28. Conf. p. 169 
adn. 1. 
cpsQSiv. pass. (in conversione 
sphaerae xa 6r\LLsCcc kccxu y.v- 
■aXcov) cpsQsxuL 2qp. 6, 10. 20. 
21; 10, 12. 17; 14, 3 cet. ; 
'En. I 66, 8; item xb z/ 6r\- 
llsCov 2cp. 10, 1; item qpsQS- 
6&ai arjLLSicc 2, 4; b&s v r\Q- 
£ccxo opsqsg&ul (xb r\LiL*vY.XLOv) 
4, 14 s. ; 6 nuQccXXr\Xog (scil. 
YVY.Xog) Yccd"' ov qpSQSXUL 6 
r\XLog En. I 96, 19 s.; llsvcov 
%v%Xog qpsQOLisvov XLva y.v- 
yXov secans 2tp. 42, 26 s.; 
44, 1 s. (conf. llsvslv); qpsQO- 
ilsvov xl 6r t (isCov 2cp. 2, 6; 

(U6XQ0V) 6opftr\6SXUL qpSQOLLS- 

vov 'En. I 94, 7. 16; 96, 8. 
12; (u6xqu) oqp&rjvuL cpsQO- 
Lisva I 94, 10. 18, ac simili- 
ter 96, 15 s.; xcbv snl xov 

CCVXOV YVyXoV OpSQOLLSVCOV 

U6XQC0V 'En. II 132, 3; (6r\- 

LLSCov) VnSQ XOV OQL^OVXtt 
SVS%ftr\6SXUL 2cp. 16, 11 8., 

similiter 16, 17 s. 
qpsvy slv: (u6xqov) cpvybv xug 
(xov r\XCov) ccvydg 2%. 84, 23; 



similiter cpsvt^sxuL ibidem. 
Conf. sncpsvysLV. 

tpfrdvsLv: qpftu6uvxog ccvxb 
(xb U6XQ0V) xov r\XCov 2%. 80, 
28; 6 r\Xiog snl xb uvxb 
cp&u67j 2%. 116, 28; slg xb A 
cp&u6r\ b rjXiog 2%. 152, 19. 

opfrLvsxttL p. LVIII adnot. ad 
58, 23. 

cpoQoc: (nsQLqpsQSiu) b'Xr\v xr)v 
vnsQ yr\v (vel yr t g) cpOQtxv 
opavsQuv noLov(isvr} 'En. II 
108, 9; 110, 3. 

cp v Xcc x x s lv : qpvXaxxoLisvov xov 
xr\g nQOxcc6S(og nQodtoQLOLLOv 
2%. 26, 16. 

Xccqlv: 6ccqpr\vsLccg %uqlv 2%. 

64, 16. 
%Qr}6&aL: xovxco (scil. xtb 

&SCQQrjLLCCXl) S%Qr\6CCLLS&CC 'En. 

I 92, 12. 

%QovL*6g: chronicus ortus et 
occasus 2%6X. 1 et 2 p. 164 s. 

%Q6vog: sI-sl Xoyov 6 %QOvog 
nQog xbv %qovov 2cp. 2, 7 s. ; 
xovxov xbv %qovov 'En. I 96, 
25; 98, 12; 102, 12. 23 s.; II 
118, 21. 23 s. 28 8.; 134, 6. 
8. 10; xo6oi>xov %qovov II 158, 
26; xbv i'6ov %qovov 2'qp. 14, 
19; 16, 11. 16; ccXXov xovxto 
L6ov %qovov 'En. I 98, 2. 15 s.; 
104, 1 s.; ccXXov ccvxtp lgov 
%qovov 1 102, 14; sv "lgco xqovco 
2cp. 2, 4 s.; 8, 7. 9. 17; 10, 
5. 8. 11. 18. 22. 24; 12, 1; 
30, 16; 34, 4 cet.; 'En. I 64, 
4; 86, 13 cet.; 2%. 68, 25; 
82, 31 cet. ; sv xtp" facp %Qovtp 
2op. 6, 9. 17; sv xtb ccvxtb 
XQOvm 2%. 82, 5 30; sv ccXX(p 
%q6vg) ovbsvi 'En. I 56, 19 s.; 
58, 18 s. ; nXsLOvcc %qovov II 



'Slg 



231 



138, 13 s.; 142, 3; 152, 13 s.; 
154, 14; 156, 23; 158, 4 s.; 
diat nXsCovog %qovov I 102, 
10. 22; 2%. 124, 29 s.; Iv 
nXsCovL %qovco £%. 84, 23 s.; 
[isC£ova %qovov 'En. II 146, 
26 s.; iXdaaova %qovov II 146, 
21; di' iXdxxovog (sive iXda- 
aovog) %qovov I 70, 10; 96, 
23; 98, 9; Z%. 124, 30 s.; h 
iXdtxovL (sive iXdaaovi) %qovco 
Z%. 96, 30; 'En. I 70, 8; sv 
xco xr\g rjtiSQccg %qovco II 118, 
2 s.; iv xcp xr\g vvnxog %qovco 
II 112. 1; 6 %QOVog iv co 6 
i\Xiog xrjv EH nsQicpsQSiccv 
dictTzoQsvsxcu cet. I 58, 13 s.; 
siiniliter 88, 4 s. 12 s.; 98, 
19 s. 23 s.; 126, 14 8.; 130, 
5 s. ; cp nXsCcov saxlv 6 %Qovog 
r)fiLaovg svtavtov I 102, 11 s. 
23; item cp sXdaacov cet. I 96, 
24 s.; 98,' 11 s. 22 s.; %Qovog 
[is%Qig scoag aXrj&Lvrig dvascog 
cet. I 98, 21 s. ; 6 %Qovog iv 
cp OQataL xb daxQov inixsXXov 
I 56, 20 s.; item iv cp xb 
datQov OQataL dvvov I 60, 1 s. 



(et coaf. I 96, 25 s.; 98, 12- 
14; 102, 12—15. 23 s.). 

*&g, ut, velut, Zcp. 8, 3. 13. 24; 
'En. I 50, 11; 56, 23 cet.; Z%. 
10, 31; 18, 21; 24, 25; 28, 
18 cet.; c. participio vel ad- 
ieotivo 2%. 56, 29; 68, 27. 
31 s., ac similiter aliis locis ; 
8f{Xov cog 'En. I 74, 11 s.; 76, 
11; 84, 4; 100, 11; cpavsQOv 
cog II 122, 4; idem qaod coats, 
c. iaf., S%. 50, 23; cog dno 
2%. 126, 17; 152, 28; cbg inC: 
vide inC sub fiaem. 

coaxs: c. iadic. Zcp. 24, 19; 
26, 7; 28, 7; 30, 20; 32, 1; 
38, 8; 40, 7; 46, 9; 'En. I 56, 
13; 72, 12; 74, 20; 92, 1 cet. ; 
Z%. 16, 27; 58, 31 cet. ; item 
omissis verbis £cp$Cov iatCv 
'En. I 92, 13 s., vel omissis 6 
r)Xiog disXsvatxaL I 100, 5, vel 
omisso iaxC 2%. 20, 29; 28, 
34, ac similiter aliis locis. — 
c. iof. 'En. I 52, 2 s. 20 cet.; 
2%. 30, 24; 48, 20; 86, 17; 
90, 25. 28 cet. 



CORPUS 

POETARll EPICORII GRAECORH 

CONSILIO ET STUDIO 

ARHINII KOECHLY 



EDITUM. 



VOL. VII, 



M A N E T H N I A N A 



RELEGIT 



ARMINIUS KOEGHLT. 




L 1 P S I A E 

1N AEDIBUS B. G. TEUBNERI. 
MDCCCLVIII. 



MANETHONIS 
APOTELESMATICORUM 



QUI FERUNTUR 

L I B R I VI. 



RELEGIT 



ARMINIUS KOECHLY. 



ACCEDUNT DOROTHEI ET ANNUBIONIS FRAGMENTA 
ASTROLOGICA. 




L I P S I A E 

IN AEDIBUS B. G. TEUBNERI. 

MDCCCLVIII. 



LIPSIAE TYPIS 1S. G. TEUBNKKI. 



PRAEFATIO. 



In Manelhonianis idem mihi nunc quod olim in Quinlo ac- 
cidit, ut non solum obiter semelque relegenti sed adeo accura- 
tius plnriesque perlustranti recensionem meam ante hos octo 
annos absolutam atque 1851 Parisiis apud Didotum editam tenue 
tantum novarum emendationum spicilegium suppeteret. Neque 
alii haec fragmenta interea curaverunt corruptissima sane ne- 
que aut ab argumento aut a forma commendabilia, ut ad ea nihil 
alieni subsidii admovere licuerit praeter sexti libri interpreta- 
tionem vernaculam programmati scholastico gymnasii Wetzla- 
riensis a. 1835 praemissam, qua Axlius „insanientis sapientiae" 
consulta satis fideliter expressit et notulis quibusdam partim 
ad ipsam rem partim ad alios scriptores spectantibus iilustravit. 
Novarum tamen conjecturarum sex tantum eo in libello inveni, 
quarum conjecturarum duae (4 7M(iaxco pro &avaTco, 32 aitiicov 
pro S7ci%cov') etiam a me jam olim receptae erant, ceteras qua- 
tuor suis quibusque locis notatas (50- 56. 153. 605-) probare 
non potui. 

Deinde nunc demum nancisci mihi licuit Ludovici Ziegleri 
professoris olim Rostochiensis „de libris apotelesmaticis, Ma- 
nethonis nomini vulgo addictis commentationem", quae inserta 
legitur libri, qui „Neues Magazin fur Schullehrer. 
Herausgegeben von G. A. Huperti und H. Schlicht- 
horst. Gottingen 1793." inscribitur, vol. II, fasc. 1, p. 99 — 
127 . Ejus libri inspiciendi quoniam nec olim Axtio atque Ri- 
glero (quorum vid. praefat. p. IX*)) nec nuper mihi potestas 
facta est, quamquam equidem nihil novi ex eo didici, tamen viri 
defuncti operam sobriam atque modestam silentio premere nolui, 
cum profecto pro illius aetatis ingenio, quae prolegomenis Wol- 
fianis nondum in lucem emissis vel Argonautica illa antiquissimo 
Orpheo adscribere non dubitabat, acute de Manethonianis judi- 



TI PEAEFATIO. 






ciura tuleril. Constat igitur libellus sex parliculis, quarum 
prima p. 99 — 104 ' de „astrologiae apotelesmalicae originibus 
et natura u scripsit, altera p. 104 — 107 ejusdem ,,brevem histo- 
riam u delineavit; tum Apotelesmaticorum libros nec ,,illius Ma- 
nethonis, qui Aegyptiaca scripsit, habendos" terlia p. 107 — 110, 
nec „PtolemaeiPhiladeiphi temporibus accensendos u esse qttark 
p. 110 — 112 ita demonstrat, ut nihil, quod „religionibus et in- 
stitutis Aegyptiorum respondeat a , inesse, Graecos vero astro- 
nomos ab apotelesmaticorum nugis ante Caesaris tempora abs- 
tinuisse moneat, quibus temporibus et Nigidius Figulus Dion< 
XLV, 1 et L. Tarutius Firmanus Cicerone divin. 11,47 teste his 
rebus operam dare primum coepissent. Et haec quidem sen- 
tentia Maximi illius qui fertur poemate tcsqi %axaQy^v redar- 
guitur, quod Alexandrinorum saeculo certissimis argumentis 
nobis vindicatum in hac epicorum collectione Arato adjungemus; 
quae vero de sermoneManethonianorum ut recentioris aetatis do- 
cumenlo p. 113 brevissime admonuit, ea nos in editionis Didotia- 
nae praefatione uberius persecuti sumus. Cumulum addit auclor 
particula quinta p. 114 — 117, qua ,,libros apotelesmaticos non 
unius ejusdemque auctoris habendos u demonstravit, et sexta 
p. 118 — 127, qua Materno Firmico in comparationem vocato — 
quod et nos fecimus in epimetro p. LXVIIl — LXX — ■ postremo 
sententiae summam p. 123 his verbis concepit: ,,Quae omnia et 
alia ejusmodi plura me inducunt, utlibris nostris periodum inlra 
tempora Augusli el Consiantini magni adsignem, qua auctores 
eorum vixisse, et totum opus Iaudem u (sic! voluitne: tandem?) 
„collectu?n pidetur." Haec sententia ut paullo incertior est, ita 
etiam singulos libros singulis auctoribus non satis feliciter dis- 
tribuit. Putat enim p. 117 libri II v. 1 — 140 „esse fragmentum 
ex antiquitate superstes, quod auctor in suum usum converterit, 
sua qualiacunque adnexurus;" ejus auctoris jam esse alteram 
libri secundi partem et libri III v. 1 — 216, cum a v. 217 „aliud 
incipiat coroIlarium u , de quo non magis sibi exploratum esse 
quid statuat quam de libro IV et VI; librum I et V p. 114 dicit 
„a quodam auctore esse adsulos, qui Ptolemaei Philadelphi 
aetatem lectoribus obtrudere voluerit. u Postremo p. 117 con- 
cludit „integrum opus esse centonem a pluribus auctoribus 
compositum, subinde interpolatum, reliquiis aliorum auctum, et 
tandem ab astrologo aliquo in hunc ordinem redactum. u 



PRAEFATIO. VII 

Cum his, quae quam vaga sint nemo non videt, componere 
jam piacet disputationis meae in majore editione institutae sum- 
mam quam brevissime comprehensam, ut eliam iis, qui sola hac 
usuri sunt editione, de horum librorum Manethonem aperto 
mendacio in fronte gerentium ratione atque tempore constet. 

In his igitur libris habemus primo carmen unum et conti- 
nuum et (nisi forte prooemii quaedam perierunt, quod maxime 
ex II, 349 w§ %al itQoo^ev aelaafiEv apparet) exceptis paucis 
quibusdam parvisque lacunis prorsus integrum, constans illud 
libris tribus, qui vulgo II. III et VI numerantur; cujus carminis 
auctorem neque ante Antoninos neque post Alexandrum Severum 
vixisse pro certo affirmari , eum ipso Alexandro Severo impe- 
rante (a. 222 — 235) carmen suum edidisse satis probabiliter con- 
cludi potest. Habemus deinde inclusum libro quarto alterum 
carmen a recentiore poeta Juliani temporibus compositum idque 
aut ad prioris carminis, quod probabilius putaverim, aut ad anti- 
quioris cujusdam, unde illud quoque fluxit, imitationem expres- 
sum, sed illud et multis partibus mutilatum et in rerum serie 
locorumque ordine turbatum. Quapropter singulas ejus partes 
intervallis et literis, singula schemata numeris distinxi. 

Habemus denique duas collectiones, quarum altera eaque 
melior primus, altera quintus liber inscribitur, a duobus homini- 
bus et ignorantia metrorum sermonisque Graeci et ingenii stu- 
pore simillimis factas, quibus diversissimorum poetarum frag- 
menta et insulsissimorum versificatorum, quos eosdem cum ex- 
cerptoribus esse putem, foetus continentur, nullo nisi externae 
cujusdam rerum nominumque similitudinis vinculo cohaerentia. 
Itaque hic quoque singula membra et intercapedinibus distinui 
et numeris distinxi, praeterea praefixis crucibus ineptissima 
quaeque notavi , in primo libro insuper, quae ejusdem auctoris 
viderentur esse fragmenta, positis literis significavi, quae e 
quarto libro excerpta sunt, diserte imo in margine indicavi. 

Tum omnibus in libris et quae singulis locis interpolando 
illata sunt consuetis uncinis circumsepsi, et quae a me probabili 
conjectura suppleta videbantur minoribus literis exprimenda 
curavi; postremo diductas literas , quibus legentium commodi- 
tatis gratia jam in priore editione stellarum nomina atque po- 
situras luculentius designaveram, retinendas putavi. 

Restat jam, ut brevem eorum locorum indicem adjiciam, 



VIII PRAEFATIO. 

quibus locis aut a prioribus editoribus aut a meGronovianae edi- 
tionis textus, qui fere cum codice Mediceo unde descriptus est 
consenlit, conjecturis sive alienis sive nostris mutatus est. In 
quo negotio taedii plenissimo id egi, ut et levissima quaeque 
orthographiae et interpunctionis menda — quae quidem innu- 
mera sunt — et lacunas transpositionesque satis jam asteriscis 
numerisque indicatas singulatim notare supersederem et brevis- 
sime tantum varias editionum lectiones componerem mutandi et 
rationibus et auctoribus fere omissis. Siglis autem iisdem,quibus 
jam in editione majore usus sum, ut G Gronovianam, A editionem 
ab Axtio et Riglero comparatam, edd. harum ambarum editionum 
consensum, M (aut MS. in notis Gronovianis ad verbum ex- 
scriptis) codicem Mediceum denotaret. Praeterea K meae edi- 
tionis textum, v h. e. volgo ejusdem cum Gronoviana atque Axtio- 
Rigleriana consensum significat. Jam igitur ad singulos locos 
accedimus. 

LIBER II. (I.) 

2 6Lr]VE%icog xe cpEQOvxca G, 6Lr]VE%icog ys cpsoovzcci A. - 
3 (ivoicc x ovqccvcq G, (ivqi\ ccx A. Sed num (ivql iv ovqccvcq 
ut Arat. 10? Quamquam cfr. 105. — 6 ($Io6vqol6l G. 
10 A Ttlavicov ivl %coQr]v G, aitkavicov %coQy A. [] 6i]] 6h G: an 
v.cilt [] num didevrccL, quoniam etiam ivdsds^iivoL claxigsg 
appellantur? — 13 avxcog 6e] allcog 6r) edd. || 7t£cpoQr](iiva 
*7tiQ&7]gG; „*suprascr. xev&el" Gron. „Nisi hic lacuna subes 
ita fere explenda: 

aXXa 6\ 6 ovQccvog svxbg aTtsiQLxu kev&el VTtEQ&sv 
aatQcc TtoXv TtXiova 6TtOQcc6r]v 7tscpoQr](iiva %£LxaL. u K. — 
14 ol dLayavoxaxoL G, di 6t) ayavoxaxov A. — ■ 16 %ai 6el 
%r]X] A 6l%r]X" G, (%o6(iov) 6sL%r]Xcov A. — 19 OQCO(iEvog 
G. — 23 §oqsov G. — 24 %scpalr)v G. — 28 ovg edd. 
|| 6cpaLQEL G. — 30 Tco6i xs G. — 33 £itx] E W G. — 
34 61] xe edd. — ■ 35 & g (ihv yaQ TtQcoxog xa TtoXov G, og 
(iev yaQ 7tQcoxL6xa nolov A K. Post TtQcoxog duo hemistichia 
excidisse nunc demum intellexi. — 37 xQOTtLxog] XQonag G, 
xQOTtal av A. — 38 rdvovxaL (ie6ccxol xe G, yiyvovxaL (ii- 
6azog xe A. „Facile hoc modo rem explanare poterat ceteris 
convenienter : xbv 6e (iixa xQomxbg <&iQ£og 7tvQLXa(i7tiog coQ?]g 
yivExaL, i^£Lr]g 6i, <5i' ov v.vkXov at&sQog ol(iol x slvovxa l 






PRAEFATIO. IX 

[iscdxoLO) 6V ov &oov aQ[ia xLxalvcov — " K. — 39 r)co 
G. — 40 %ei[iSQhig xs G, %£i^SQir\q ys A. — 42 cpQ<x£o[icu 
coQav G. — 46 oq&ov] olov G, aiav A. Cave ex 36 ovvop 
conjicias. — 49 6L%r\v G. — 51 v%] sit v. „MS. OTtoGOLg" 
Gron. — 55 STta^OL§cxdsq igcoCavxo G. — 57 covtcsq edd. || 
ccqlGxol G. — i 60 ov] ovv G. — 65 iXaxaZ] vavxai v. — 67 01 
xsvoi G. — 70 &'] ef edd. — 74 sm] ivl G, (6ydoaxr\ ^olqtj) 
evl A. — 76 av%svLOv v. — 82 6vo Gvv] Gvv %al edd. — 
89 vTtsQsovxa G. — 90 §LaxQL§ovx edd. — ■ 94 Z%inxsv^ 
sktcsq G, 6xsTCtsv vtceq A. || yvZa edd. — 96 Xaycoov G. — 
99 voxlov v, sed „voxlov distinctione post hanc vocem posita 
H." A. — • 100 Cxsqvov (isya G, cxsqvov \iixa A. — 104 
axQOx6[iOLCL edd. — 105 i% %OQvcprjg G. — 107 E* CxcIgl 
aGxs(i<psLc;xs %al G. — 108 bX%ov] Sfiov G. — 109 #' 
om G. — 112 yaZav G. — 115 STtLXsyLvsx* G. — 116 
yaXafyiov G. || fiaiog edd. — 121 To^ov edd. — 122 <xxqo- 
xaxov xsvxqov ftrjQOg cpovioZo xs ( — oZo ys A) (isccov edd. — 
123 r)ds] %al 6s edd. || axQov] aGXQOv edd. — 128 6st,LXEQr)v 
edd. — 134 svl edd. — 136 Zqol] slqol G. — 137 iitsi 
x sxavvCC s%axsQ&sv edd. Em R. — 142 aQsiovg edd. — 
143 nXiov G. [| %a%ol 6' oys G. — 148 %XvxocpsyyoZg edd. — 
151 sxsqolClv G. — 152 SsCpcov G. — 156 sx&siisvovg 
edd. || TtaU 6co%sv] artsdcoKSV v. — 161 r) iv TtsXaaGL cpQO- 
vsvvxag G, r\ SKTtSQaav xl, cpQovsvvxag A. — 162 vitOTts- 
Tixrjcoxsg G. — 163 O r 'ccdxs i%xsXiovGtv G. — 164+165 Pro 
simplici versu ita a nobis restituto leguntur in G hi duo= 155 
sq.: IIollazL 6*' aXXoxQLCov italScov naxsQag xalssc&aL Aco- 
%sv, r) ix&Efiivovg 'rj %al ccpsxioovg aTti6co%sv , quos scripto 
TtaZSag pro rj %al retinuit A eosdem supra uncinis circumdedit, 
utrumque male. — 166 oqlolGlv] ol%olGlv G. — 172 <$' 
exl aQyaXiovg G, 6i xol aQyaXiovg A. || xs om G. — 177 nag- 
scov] iitLcov G, y irtLcov A. — 178 ISs] 6s G. — 180 et 
179 transposuit R. — 182 drj&i %l %al G. — 186 (idXa 
yavQOVKisvovg G, iidX ayavo^iivovg A. — 188 sxiQcov G. — 
193 %al XaXiijg — r) yXcoGGav edd. ■ — 195 %QV7txa6iov g edd. — i 
201 %al 6' dvxla G. — 205 sc&Xcov edd. — 207 dito- 
d-iccpaxa G. — 209 (Sloxco G. — 216 oi omG, 1) posuit 
A. — 217 6s6acoxag edd. Hujuscemodi versumaddidisse vi- 
detur: r\ %qeco^ sv&a %al s.vft' iQ-vvi(isv sv 6s6dac lv, 



cujus clausulam ut satis probabilem textui intuli. — 218 £ig 
o6ov G, sig xo6ov A. — 222 Tlavxoiovg G, %avxoicov sequen- 
tibus junctum A. — 224 &vr\xovg oXXv6l %ai G. — 225 nai 
6r\%cov (laxaQcov Leaovg (leqovc; G) xe %Qoi8QOvg edd. — 226 
i£a£xovg edd. — 228 #' om G. || ev) iv v. Em A. — 229 
cp&iy^ov r' v x — 230 r' om edd. — - 234 fiixQaig edd. — 
235 volg 8 av y£Qa£66L leqol6lv G, xolg $' av yega£66^ leqol6lv 
A , rovg $' av y£Qa£66' leqol6lv K. — 237 £l"na6£v i% &a- 
Xaiiov („MS. &aXaKiovg u> ). 8co%ev 8h Xi%XQa yvvaL%cov G, co%. 
sv&ald{icov ' 8co%sv 8i xe Xi%XQa yvvaL%cov A. — 238 iv srJ6L 
z. ivi %oXis66Lv aQL6xovg G, 18' st\6lv ivl %xoXle66lv aQL6xoi 
sequentibus junctum A. — 241 xsxL\xr\\xivov G. — 242 r)8h 
%ai v. — 243 %6qov G. An goeoov? — 246 %oXvv oX- 
fiov G. — 247 in svcpQ06vvr\g G. — 250 8'] r' edd. || iv 
8' sxaQ0L6LV edd. — 254 7taL8svKiax > suspectum. An \xsXs- 
xr\\iax' seu tale quid? — 255 #'] $' G. — 256 8icpQco] 
8icpQ^ G. [] o%l r'] 6x1 G. — 258 %sl&co 6\xcog] %EL&o\xivovg 
v, quod ferri non posse jam olim intellexeram de emendatione 
incertus , quam certissimam nunc suppeditavit v. 241. [| \xsxi- 
%ov6lv edd. — 261 E"vxs 8i%ag %oHs66lv G. — 264 8i%aig 
G. || v% edd. — 265 %slvo G, zsivag A. — 272 %sq6lv 
oXi%ov6Lv G, %siQE66 oXi%ov6LV A. — Ordine, qui necessario 
mutandus erat, retento 269 xsXovvxsg et 270 vviicpsvovxaL A. — 
276 8\xcod.8ag GK, 8\xmd8ag A. — 277 6vvsvvol6lv cpiXoxiq- 
xog G, 6vvevvco6lv cpLXoxrjxog A. — — 278 ailv %Xs%xo\xivr\g 
edd. — 279 rai rtcuo'] xovg Lovg („MS. xov$ tov6* ") G, xol 
xiov6 > A. — 281 sq. dXoypLg, %ai avxcov sTvE%a 8r\&d E'v 6vv- 
o%f]6L yivovxo, * %ai dXXr\Xovg dftiQL^av G hac nota addita: 
„In marg. yQ. %ai d%Xr\xoLg 6yis66L. u Quod suo loco restitui. 

Videtur autem tale quid excidisse: — %ai d.Xh\Xovg 

a&iQL^av 6<piJ6Lv dxa6&alir\6L, %ai avxcov SLVS%a 8r\$a etc. Re- 
tinuit G scripturam A. — 283 svsL%av em A; s8co%av edd. — 
290 Tag <T aXXag av8Qa6iv L6aLg %d\ivov6av dvtaig G, xag <T 
dXXag av8QE66LV i f 6ag %d\xvov6LV dviag ordine retento A. — 
286 cpiXoxrjxa Xv%r\v xo%excovx* G, cpLXoxrp aXv%r\v xo%excov 
A. — 287 6%Xr\6£L G. — 288 f>Q£cpr\ co\xoxo%ov6av G, 
§Qicpr\ co\xoxo%ov6lv A. — 289 iv] %eq x l edd. — 294 %Qog 
8e] xol6l G, r\6L A. — 296 8£8ar\%6xag G. — 297 nai 
%bi6Lag ftaixivag] Kqi6iag sl8iag G , %Xr\6Lag al8iovg A. [| %v- 



PRAEFATIO. XI 

jcWr' s%ovzsg G. — 299 zs om G. — 300 nai6covzs xu&r\- 
yrjziJQsg G, tcul6cov ys xwd-tjyrtziiQsg A. — 303 o66cov §lozco 
G, oaaov fiiozcp A. — 305 nXu6zoyQucpov G. — 308 tcuq- 
&S(iivovg G. — 309 tcuvqu] tcoXXu edd. || %Qr\og G. — 311 
l6ql6lv] uv6qu6lv G, el6o6lv A. — 312 Ida&aLg em Lobeck., 
XdftQULg edd. , dcouZg K. || 6sfisovzuL G. — 318 ZL\iug 16'] 
Ti\LuZaLv G, sed „MS. v 1 lnaiOLv" ; zifirjaiv A. — 321 sol%6- 
zuzol fisv G. — 324 yQucploig] yQucpuZg G, yQuitzoLg A. — 
323 fiOQcpug &rjocov itdvzcov zs edd. — 326 aits&rjzuzo G. — 
331 t om edd. || rfi ao' aotcJovc edd. ■ — 333 TfJxrooac] 
£i;o£TO G, svcpQovug A. — 334 ?}£] 01 6s G, ovc <5g A. — 
344 ccfia] fisya edd. — 346 %aXsipug] xuXvtyug G. — 350 
xal] rj G. — 351 szsgovg G. — 355 uns6coxs G. — 360 
av edd. |) aXo%oi6i G. — 364 HsXlolo] rjsXiaxs G, r\sXiov ys 
A. — 367 silr\zui G. — 374 16'] «#' G. — 381 &*' 
eUA^otc Jtca t' ui f 6%su edd. — 384 6*'] r' edd. — 390 H"vz > 
G, 'r\v y A. — 391 cocfavrcoc edd. — 392 cry#pco7rcov 
v. — 393 fiaaLlrja G. — 394 ol cT «o'] ox) yuQ edd. — 
396 Mrjvrjg G. — 404 fV] dv edd. — 405 avroAtoftc A. || 
iovxsg at ig] sovzsg sigG, iovzsg sy A. — 406 Ttaosovzsg] tcsq 
sovzsg edd. — 407 -E* ansQLOL 6s $qu6l6zeqoi tcqoIovol G, 
saTtsQLOL 6r) §uq6vzeqol TtQolovaL A. — 408 6elsIol] 6elXol 
6' edd. || puXsQULg v. — ■ 411 xeXs&el ^vvcov G, xeXeQsl %vv- 
scov A. — 415 61] zs edd. || xal tcuxqcoiov olxov G. — 422 
u{islvcov G, upsivov' ordine non mutato A. || zs 6sLvog G, zs 
6elvu A. — 425 oXocoxsQog edd. — 421 H* aaov G. — 
428 6ovXucg rj TtsvL%QuZg G, 6ovXr\aL TtsvL%QuZg A. — 429 
uELKcog] ulazcog G. — 430 icps£o[AEVuLg G. — 432 Tcdar\g] 
TtoUrjg v. — 433—435: 

£ r £o(ii£vsc Ttoirjas §ivg \idXu nuvuyr\z8c, 
A vsQug ucpvsihg , \ndXu * c?£ 6\icou6lv uvu66cov, 
FLQrjfyv cf ^cjctovo; $cojc£ yml s\i TtQrj%L6LV vn uXXoLg. 
G hac nota addita: „*MS. 6' r]c6uL6Lv. ( - L A 433 post (idXu add 
zol, 434 5' r]cpr]6Lv et 435 TtQrjt-iv r' ^'crcrova c?cojc£ jccu fV 710*7- 
%e66lv scripsit. „Patet hic quoqne plura intercidisse, quae hoc 
fere modo olim integre lecta fuisse facile omnibus persuadeam: 
i£o[iivovg 6' anaoGE fiiovg xs%vug xs $uvuvc>ovg 
dvdquCL xELQo^iivoLs, fiuXu 6' r]corj6LV uvu66cov 
uvsQug aqpvsLOvg tcoli]6s tcoXel Ttuvuyyjxovg 



XII PEAEFATIO. 



XQrjpccci %ccl x£%vrioiv, iv s67teQirj6t, ds fiaivcov 
TtQrj^lv & i]66ova 8cox\ iv 7tQr]'£e6L v e(i(iev vit aXXoLg. 
Ita ego olim, nec hodie quidquam est, quod mutandum vi- 
deatur, nisi quod nunc 435 singularem mQijj-et scripsi propter 
TtQrj^LV. — 438 8e 6vv ccvtol6lv G, 6*' olov tol6lv A. — 
440 &vy]xol6lv (loyeobv (ttoxov edd. — 448 (JueXd&Qcov] &e- 
(ii&Xcov edd. — 450 %Qy\£ov6Lv exalQOL G. — 455 iit ¥q- 
yoL6Lv eolg G, eQyoL6LV eolg A. ' — 456 Svvavx G, ye 6v- 
vav& A. — 461 ^EQfielao v. — 468 (leycclrjvoQiccLQ %ai- 
QOVTccg edd. , sed (ieycclr]V0QLCcL6L M. — 472 6e om G. — 
473 6WL0v6a G. — 483 ev&v (sed „MS. ev&vg") G. — 487 
Plotco edd. [| aXXrjv G. — 489 yevi&Xaig edd. Fortasse etiam 
7tQOTeQr]v scribendum. — 492 r] xccl] H"xolG, r) xol A. — 
493 TtQcorcog edd. || 7tXr]Qr]g edd. — 496 <5' ccv\ (5' ovv v. — 
501 inel] eTtl G, quo retento xvxXco inl TtXrjQei dedit A. — 

In fine add G MANE'®SlNOZ AHOTEAEZMATl- 
K9TN | BlBAtON B. 

LIBER III. (II.) 

Argumenium •. A. iv itavxl xcov aXXcov] iv aXXcp xlvI xcov 
edd. — B. ajtoxeXe6(ia . . , ccTtaXXaxxcog evQL6xo(iev ovxa, xav G, 
unde xal itoxe xcov av&QcoTtcov aTtoxe X e 6 (i a x a aTtaXXdxxcog 
evQL6xo(iev bvxa conj A. — ccvxl (is6ovQavrj(iaxog G. — ava- 
(lexQOvvxeg] ovv (lexQOvvxeg G. — A. 'HXlov] "AQecog edd. — 
7 7tL6vQ0L6LV G. — ■ 10 6ic6Xe6e Ttdvxag G. — 12 t's % av 
G. — 13 ^coLOLg (om <f ) G. — 15 xqlcoQ'% onox' aveQeg G. — 
19 yiJQy edd. — 28 eQ(je66ev G. — 29 XLitev yevexr]Q G. — 

30 XQVL G. 33 7taXQT]6LV VTtO G, 7tdxQT]6LV VTtO A. — 34 

%Qrfeeig edd. — 36 xavxa edd. — 38 Xaoig? ■ — - 42 xr]- 
6e6xdg edd. — 50 Fortasse &aQ6aXiovg t eQdei. — 55 aiel 
8coxsv edd. — 56 (3l6tol6 x d(isQ8sL v. Cfr. II, 454. — 57 
8s] xe edd. — 58 %eQ ivl] itdxQ ivl(i G, TtaxQL iv A. — 
59 & (x(icc G. — 60 dxdyr]6e suspectum. An co% a66e seu 
tale quid? || yvvalxag edd. — 63 6vva6XQcov G. — 65 xal 
&r]xx6v edd. [| eov] An ca? — 70 yiXr]g] fiir] edd. — ■ 
74 r]] r] G. — 77 Taig <?' avx* aX6%OLg edd. Em A. || ic&kov 
edd. — 78 xXeLvbv] xsivcov v. — 80 l'8qv6s, xcov xal G, 
TSqv6\ ii- cov A. || I8s] ini edd. — 82 r]ds] xal 8s edd. || S 9 
oxe fievxoL G, 7toxe (iev xol A. — 86 ^ffr' d(i G. — 89 (ii- 



. 



PRAEFATIO. XIII 

ka&g' G. — 93 x«/ #'] xal <$' G. — 94 deont&ei, G. — 
99 agyvQa(ioipovg edd. — 102 oocpirjv edd. — 105 yr\- 
ftevovzag G. — 106 -E V av G. — 113 imvoir} olitn sim- 
pliciter pro ivl TtdzQy scripsi nihil de lacuna suspicatus. — 
122 '0'' «,«« G. — 124 H (lazir] <T dvz > i]6Gcov G. [| ei] r\v 
edd. [| f«i/] (iev edd. — 128 £?r dv G. — 130 acpijnev 
edd. — 132 „Post hunc versum hujuscemodi verba excidisse: 

aczigeg oGCa zeXovd^ zdS" 1 avzixa vvv %azaXi't,co, 
constans poetae usus evincit." K. — 140 xduve G. — 141 
EV av G. — 143 Sr) fiaiov G. — 144 xal] ydg G, <f 
<vo' AK. || #' afta G. — 147 5' om edd. — 149 ig] ?/ 
G. — ^ 151/5'] t? (5' G. — 152 &#] &J G. — 154 att'] 
scat <5 v. || ayditrjg dvaQ-ic(iovg G. — 157 MayXalg G. — 
158 SvvrjCi] dvvrj G. — 161 (iaV alvcov] nalaicov edd. — 
172 &getyauivag a^iqyovc G, 'd-geipafiivcug^ a GzigyovG' A. — 
175 Moy&ov G. — 177 ag%0(iivr]g G. — 178 (ieydXoLg 
edd. — 180 «V a^sr^ov] d(iezgov G, $£ r' duezgov A. — 
184 yd(iov [(iegoevzag G. — 185 r ] y A. || ziovc d(i axoi- 
zag G, xiovc 0(io%oizag A. — 188 d'] t edd. [| dcpevoCze 
cpgivag paGLXrjiov G. — 193 „Hunc versum huc ex II. 255 
intrusum arbitror." K. — 194 eite^e^acog G. — 197 at\ 
xal edd. — 207 eiteiyr]z > ] iizizrjz'' G („MS. eitizr\zeihv- 
l&v"). _ m dvoig G. — 222 H'h (iev G. — 224 ue- 
ydlovg rtoze S av edd. ■ — 225 r)e] r} edd. — 226 eycoCLv] 
ecoGiv edd. — 231 dneigdxe eczi G. — 233 e-jtile^coGi 
d-soi suspectum. — 235 oye] oze G, oze A. — 236 i] ayav 
av^iv („MS. av|f«/") G, ^J y dvagiv A. — 237 z ante 
av^o5v add G. — 239 ftaXduOLg , Xi]lolGl (sic!) G, ofrzAa- 
( aoig, h]toiGL A. — 240 XeiaLg^ itavzoiatg z ayeXaig edd. — 
241 r)vaXicov G, elvaXicov AK. — 246 6°££i ; Gr£ <rr#£ y' edd. — 
248 <T £t yJvzqolGlv eite^e^acozeg oqcovzo edd., sed „In marsf. 
MS. yg. <?' elye cvv r)eXico iitefi", Unde emendavi. — 253 d 
(ii\ Ttcog evegyog ogcorj edd. , quod retinueram inserto <5' post 
Ttcog. — 254 Kal 7tov(ico (sic!) G. — 261 r) or' iv edd. [| 
rjneLQOLGLv edd. — 263 & 'g£ 7zaAtv fi-Xicpd-ivzeg G. — 264 
?]rJ£ zal yjuegir] (J](iegir] G) ra edd. — 270 „In ora MS. no- 
talur hunc postponendum sequenti versu." G. Nec tamen justum 
ordinem restituerunt, sed ye pro ze scripserunt AR. — 271 r 
post v.auaxcov add. edd. — 272 v7toSeQ%6(ievot edd. — 274 av- 



XIV PRAEFATIO. 

tovz, &' e f Q8ei G. — 276 ipvyfico edd. — 281 tyvzov edd. — 
283 h uv £ '^ dc6{iaCL v. Cfr. VI, 144. 201. — 288 XaXirjg G. — 
295 TQiycovog v. — 299 aya&rjzTe TvyoLev G. — 302 avrovg 
G. — 304 a%eiQixov] v%eiQO%ov v repetitum ex 303. Cfr. II, 
262. — 312 & aQa] yaQ edd. — 314 eTtifjLctQTVQtaig ra8e 
G. — 328 itQYiieai 6" ev edd. — 330 v(}qiCtccI] T"'fiQeLg xe 
G. || xe om G. — 334 ncd t G, %ai v A. — 338 %axr) %oXlv 
sdQccfiev aivi) G, kcctcc %toXlv ^Sqccjisv aivr\ A. Cfr. II, 298. — ■ 
340 rr]v 8 G, quo retento 339 .Eoju^g TeTQaycovog rj ccvxiog r) 
A. || TQOiaCr] edd. — 351 „Poteris animo hic repetere v. 334: 

elneXa kocI <T aXXalg eitL^aQTVQiaig xeXeovCLv. u K. 
356 7T,aXaLC{iocvvr]CLV edd. — 357 t ayaC&eveeg] (isyac&s- 
veeg edd. — 363 8s Ksvcog G, 8s ksv, cog A. I| cpaveieLv G, 
cpavetev A. — 374 s^avvovT edd. || (jlsvolvcc G, \k,svoLvr\ 
A. — 380 A"XXo tocV G. — 382 IFkovClv G. — 383 
s%\] evl edd. — 386 o%%6ts cV] 6%%6ts G, o%%6t ccv A. — 
390 Irj&ovGL G. — 392 &r]XvTSQOLg 8' o%6t edd., sed ,,MS. 
oW" G. — 397 «V aiva] aQSva G. — 400 8r\caT 
edd. — 402 r}8'] ei 8' G. — 405 acpsCLv G. — 410 8vo 
cpcoT] Oae&cov edd. — 411 jfifr* wG, ^ 8' av A. || jw.ot- 
QeCGL G. — 416 fvpotg edd. — 417 cks%tso G. — 418 
v.sivov Te %SQL\iOL^aiCL 8aGac&ai et 419 Tcog yaQ ksv %Xsl6vcov 

OCQL&llOV (10LQC0V TS CpQClGaLO G, K. r'. 7T£0£ \iOLQr]CL 8. et 419 

Toag yccQ %XeLcovcov a. (i. t. cp. A. — 424 avToi ye edd. — > 
425 ysLVO(isvoLg G. — 427 %XsvQrj G. — 

In fine add G MANE'0£lNOZ AIIOTEAEZMATI- 
KSl~N | BIBAtON T. 

LIBER VI. (III.) 

4 %ai%eQ ftavccTco &v(iov edd. — 11 rsoarwv G. — 
12 ysvsrj G. — 18 yeve&Xrj G. — 25 otfotg s%l] oaaoig 
G, 07to(?(Jotg A. — 30 ceXr\vr\v G. — 32 i%s%cov edd. — 
41 xal t6t e% v. Vid. ad Quint. I, 120, cujus a norma non 
dissentire nostrum patet ex VI, 33. 92. 165; et cfr. IV, 

QecpxfevT 
127 — 1, 292. Tum v%' co8iveacLV vide 49. || SaLcp&evT M, 
%Qecp\tsvT G, %Qvcp%evT A. — 43 eoc] evl G. — 45 
A v &Q7]g (sic!) G. || av om edd. — 48 iovwg v. — 49 oXl- 



PRAEFATIO. XV 

G&ov] okovzo edd., quo retento Axt. 1. c. ad versum sequentem 
adscripsit: ^AyjjL nod. ist auf jeden Fall verderbt; wenn es 
noch fis66r t yv hiesse ! Vielleicht schrieb er Elisi&viuv, oder 
uficpLitoioL^L. 1 ''' Frustra ! — 50 ia] ig G. — 56 Igol AK 
retento in fine Ti%s66iv , pro quo nunc ex 145 tls6%sv scripsi. 
Lacunam enim subesse hic minus probabile videbatur. Etiam 
Axt. 1. c. jam Dorvillianum laov yovl^ioiGiv stl6sv probat. — 
57 Hv ds oicog G. — 58 vtcccl G, utcul A. || %siis6L §scp&sv 
G. — 59 ivovXifiev G, ulv oxiTpsv A. — 67 Plcpftivx 
i% %cQor]g G. — 68 dovko6vvy — ol^vqtj edd. — 70 icps- 
6Tc6usvog G. — 71 Mrjvi]g G. — 79 Aoscog sicofiivov G. — 
83 coQOvofiov G. — 86 6 6s] xods G. — 90 oy'] 6 <f G, 
od' A. — 96'lco6lv (sic!) G. An ico6Lv? — 98 §oqt]v 
xi fiLV edd. — 99 H ' tcuU <5' uQQ7]X0Lg G. |[ xo%is66c yivov- 
xul G, xozss66lv s6ovxccL A. — 100 #' om G. — 105 ccyvo- 
6XQOcpov G. — 106 cpccLvovxcov edd. [] t) oxs xol6lv G, rji xs 
xol6lv A. — 113 H"sLg G, i?J£g A. — 114 s%u6xov1 — 
117 ysvsrj v. — 122 tcHt] (Dui&ovxL aQLyvcoxco L60fioiQOg 
G. — ■ 129 'Eqkislyi^xs G. || @Xo6vqi]ts Kv&rJQr] G. — 131 
fiSTSQyofiivoLg G. — 137 uvxt] edd. [| uyuL7]6LV G. — 151 
vtcsq ftcoQijg G. — ' 153 Lacunam post hunc versum esse jam 
olim Axt. vidit, qui nunc dubitanter fir) H%tqu tcoqco6lv c/m- 
jecit. — 162 8s%vvfiiv7] G. — 164 OQOcovTsg G. — 167 toi- 
6lv yuQ edd. — 171 Tsg <5' uvtul %ul 7]v%h]QOLO (sic!) G. — » 
172 icp' coQY]g] n 'vr\g (sic !) G, XrpLv A. — 173 H" ots G. — 175 

%U6LyV7]T0Lg TCUTiQCOV. 6cpSTiQOL^TS T0%SV6LV G, %U6LyV7]T0Lg ita- 

t^qcov 6cpSTiooLg ts Ti%s66iv A. — 176 t]v 6 "AQ7]g VTCoyslco 7) 
6vxL%co ivl %ivTQCp G. - — 180 vtcslt] edd. — 182 %QVTtTu8loLg 
edd. — 183 cpLico&etfuL G. — 184 iu$Q7]g G. — 192 toV] 
oV G. — 193 uvtcov] uiicov G. — 198 svicp&sv G. — 201 
uQTcaylfiOLg vvficpuL G. — 204 6vviov6LV edd. — 208^'vovto, 
t<f av G, yivovT% 7]cf av A. — 209 uvtol <?' uv fiuyioL 
edd. — 210 ts om G. — 212 Ai%vv6\tuL ^vvir] 6T0vd%y 
evszsv G, 8s%w6%ul '%svLi]g 6tovu%yj svs%sv A. — 214 ^colcov 
svi f.i7]V7]v (sic!) G, ^coco svl Mrjv7]g A. — 216 tcHol uvdQog 
G, Tciioi uv8ql A. — 219 tccvtu edd. — 220 dio%cp ivl 
edd. — 223 6%7]fiuTu edd. — 224 %ut] fisT v. — 232 
%aT0TCL6& edd. — 233 8co%uv %ul 8i66ovg edd. — 240 18'] 
xs %al G. — 242 oi'%cp K , errore nescio quo. — 245 sq- 



XVI PRAEFATIO. 

QeOGav G. — 251 Xa§ovxai edd. — 252 oitov G. — 253 
clXXol <T ev £cooig SlGOoI edd. — 255 naldeg edd. — 261 
% om v. — 270 OQcor) G, oqcoy\ A, qui ei pro ^f scripsit. — 
275 oLyaQ xov G, oi yaQ xoi A. — 287 Ei'£')]Tai G. — 288 r)e 
y edd. — 295 el <T aQa %cog aOTQcov %at a%eiQiTov oI\lov 
edd. — 296 eoi] evl G. — - 298 „MS. e%ovtr\ et superscr. 
§*ovrei." G. — 299 Iltol) avwl edd. — 301 ^e^aijOL G. — 
305 enl cpcotcov G, ercl cpcotcov A. — 309 % om G. — 312 
aop edd. — 314 tiGl G. — 315 r om edd. — 321 tm 
Mr]v7\] Sic em Dorvill. ad Charit. p.678; T££ (ttijv?? G, TLg Mr\vr\ 
AK. — 322 alh\lcov G, quod tacite mutavit A. — 329 [irjd' 
fjfv rtw G, |m?<5' av tlvl A. || Gvvaittr\ A, errore. — 334 Z?]va 
G. — 342 %evTQa G. — 343 enav&rJQeg G. — 346 H'si- 
%ela G, „Superscr. ?}ftc£Aa" Gron., r\ X%eXa A. — 350 oocpLr\c, 
G, oocpir\g A. — 351 t£A£#o?;gy G. — 353 EioeovOL G. ■ — 
359 Kal <T aQa % r\v tQOitL%oig G, %al S ixQa %al tQ07tL%oig 
A. — 360 OTeQeolOw ejtovteg G, GteQcOLOLv ejtovteg A. — 
362 cT evvyQoiOL G, <T ivvygoiat A. — 363 %OLvr\v G. || 5' 
or£ G. — 365 xa/ r cmxaiGzovg suspectum: an %al rcavoe- 
•jtTOvg? — 371 Tama yaQ G. |j E,olv7\v G. — 375 QonaXoLg 
Te] QOTtalotOL v, quo retento GTL^aQOLg sive pQLa.QOLg (ex 417) 
sci^bi deberet, cum o&evaQolg non sufiiceret. — 380 dvvavTL 
edd. — 383 Ar\ §<xlov G. — 385 iSe] Se Te G. — 389 
Zr\iiaOLV eide ye G, GrjfiaGLV • £t c?£ y£ A, sed Orj^iaTOg M, pro quo 
,,alius %eQ(.iaTog praetulerit". K. — 390 A^GGOTeQco G, acoorgoco 
AK. — 398 xevTQOv G. — 399 ^so] ^ev v. || %aXXiaog 
G. — 400 oqcovto G, OQcovTaL A. — 401 «wAd;] aAArc 
Tf edd. ■ — 407 (Sqotcqv G, §otcov AK. — 419 ev) Ei G. — 
420 1?« t edd. || xr\%ovxeg G. — 426 %eivr\v G, tfoti^v A. — 
430 cUr ev) aXXov G, aAAov A. — ■ 432 evv?\xoL$xe G. — 
434 7teQ0V7\GLv edd. — 439 <?'] 6e G. — 442 %al] %ax" 
G. — 443 LTtxafievoLg G. — 444 IlLdva^ievov^ G. || v#' 
edd. || TtexeLvco G. — 447 Ttaidcov paullulum suspectum : an 
cpOQxtiv? ■ — ■ 448 eit) vn v. — 450 TIvQoevxog G. — 
451 r\ % avxol G. — 453 ftocov) fiocov G. — 454 De re- 
petita clausula magnopere dubito; facile tale quid et scribi a 
poeta et omitti a librario potuit: coiiopoQcov &r\Qcov r\yr\x OQag 
av $Qag. Cfr. IV, 245 sq. — 460 pXafleofj] nakeofj v. Quem 
fugit Homerica oXomaxog b8^r\ r i — 466 r]e) r\de v. — 



PRAEFATIO. XVII 

470 uQ&ivreg] ivftivTeg edd. — 473 (idvreLg u6tqov6uol 
olcov. edd. — 474 t post ftvicov om edd. — 477 KelvoL 
y* aXXrjXcov G, (og ita.li 6 c Equov.) nelvoi t aXXrjXovg A. — 
481 6wicprjvuv G, sed ovv ecpr\vuv M. ■ — 484 §qotov G, §qo- 
tov A. — 485 icpi67tr\TUL, TtoXvTtXayy.TOv iteQ G, icpirtr], 
TtovXvTtXayxxov A. — 486 vr\6g &] vr\cog G. — 498 &or\- 
vrjrdg G, &Qr\vevvTug A. — 499 xot?' avrov G, jcorir' uvtov 
A. — 501 Hv amaLg G. || oXor\6Lv ijtaxTaLg G, oAoTJtfjv «tt' 
d%Talg A, quod si recte haberet, jus naufragii innueretur ab 
hominibus litoralibus etiamnunc passim exercitum. Verum pi- 
ratas potius intelligi jam olim monui. Sed emendatio non nimis 
certa: poterat etiam aut oXoalg inuycoyulg aut aliud quid 
scribi. — 502 ut^q G. — 503 T£] ye edd. — 506 t\e 
qv&uolo edd. — ' 507 fir\TUQ(iovag dv^Qug iovTug edd. — 
508 Srjxuv, r\ G ; drjyuv, %ul A. || XdXovg edd. — 515 Kqo- 
vov G. — 517 ipacpaQol v. — 523 Av6olo G. — 525 
fjLLiirjTrJ6L G. — 533 6Teyie66iv G. || ai'6%La G. — 536 Te om 
G. — 538 6L6vurj G. || uyeiQOVTUL edd. — 540 Suspectum 
hic quidem ucpvco, quod III, 261. VI, 198. 648. 719 recte ha- 
bet, nec praestat quod A conjecit dcpag: potius erjv ex consue- 
tudine videtur. — 543 iv 6riQV0L6iv edd. — 553 tovto] 
tuvto v, quod pronomen recte legitur 219, sed alterum 119. 

429. 636. — 544 <?' IjTteLTU edd. 547 *'] y v. — 

554 *EQLirjv edd. — 560 klvvtbz G. || TtuQufiXrjTug edd. — 
566 itQO 6v6lv G. — 567 <T om K errore. — 575 cpuvrj] 
cpdeL edd. — 577 0"gea 6r) vcoTOLg 6cperiQ0Lg G, 06ziu 6r\ 
vcotov 6cpeTiQ0ig A. || iit edd. — 580 Mr\6e G. || urtOTu-rj- 
yH6Lv G, d%OT}xr]yov6' lcV A. — 584 hevE^av edd. — ■ 592 
del] udev K. Illo restituto lacuna indicanda fuit. — 600 de] 
Te edd. — 598 rj tyjQcov] r\ ij- vyQcov edd. — 599 TeXev6L 
edd. || t'] 6' K errore. — 601 &irj\ &oog G. — 602 dvirjQol 
v. — 605 Svg vTt izeivrj erj] 6v6ig iiteirj G, 6v6r\ ineirj 
nunc conj Axt. 1. c. — 611 evre 6e nul ut 606? — 617 
6vv tco] uvTolg G , sed 6vv Tolg MA. — 620 Aev6eL , ivxuT- 
ivuvT G. — 621 $QOTolg edd. — 622 eitovto edd. — 
625 6o§ieLv G. — 629 f e%eLv kul itevirjv re 6ivr\ Te v ; e&Lv 
y.ul y.uyJrjv re, aivtj 6e conj. A 1. c. 33: „von der Armuth ist 
erst im Folgenden die .Rede." - — 630 vo6ovg edd. — 643 
{.leXicav G. — 644 "lql G. || v.ivTQOv] nXrjQOv v. — 646 



XVIII PRAEFATIO. 

co7tu66uv] rjiiEQ6av G, iiisQL66uv AK verbo huic ignoto. || av- 
dovTEg G. — 647 TETQuycovog G, TETQuycovoL A. — 648 
oqocov G. — 649 dvicoQfjv G. — - 651 SsKUTSTCog G. — 
663 TTEvtrjg KQVEQrjg v. Sed vid. 633. 679. — 665 uv] r)v G, 
av A. — 666 6vvacpr)v G. — 670 x'] / edd. ■ — 673 
it,E%v\i66Ev G. — , 674 Tsyycug\ te%vecov G, r^vfW AK. — 
675 nuXr)] ^uXXr) A sine lacuna. — 676 lluXu] %utci edd. 
tcuvt'] TtolV v. — 678 atfjrfrog] u6tcetu y edd. — 684 
Jf"£i£ G, sed r)slg M; tjftg A. — 685 Tcog G, Tcog A. — 
687 xc«] rj edd. || Haah^oO-f qeolev G, sed xaO-VTtforEOfWv M ; 
xu&VTtSQTEQEOisv miro errore A. — 688roty'] roV G. — 694 
ysyucoTsg edd. [| ixovaiv G, slkov6lv A. — 697 1'cfrcM edd. — 
701 1? om G. — 702 7T£Ao£ edd. — 703 «] ^jv v. — ■ 70p 
v[MpOT£QCov d(icocov v. — 706 cU' ?c£v G. — 707 $' ch;t' fV 
xsvTQCp KQOvog G, cf «v KQOvog iv TiivTQCQ A. — 709 iit ] f?c 
edd. — 711 A^llll G. — 717 oqcqvto G. — 723 MrjTLvog 
uvls6uvTog G, sed in M „superscript. uvXv6uvT0g. u — 730 
07t7to6u] 066u ys edd. — 732 Post hunc hujuscemodi versum : 

6ir\llUTU^ T0L6LV UV UY.T Ug Idh KQUTEQOVg (3u6l- 

Xyug. 
excidisse demonstravi in praefat p. XVI. — 734 ov vJ] ovz 
v. — 735 To/97 usl] TOLrjg uv G, (fjiuvT06vvrj6L yug) uv 
ToiuLg A. — 736 *§#'] tfjv <$' G, drjftl A. — 737 ys\ ts 
G. jj sycov] uycov G, iycov A. — 741 Trj ll] tr)v G. || scpr\v 
iitolvllLTOg G. — 742 v6tutlol6l liet' v. — 743 rucf 
G. — 747 xa#' coQrjg] %ul coQrj edd. — 751 Liov6r) G. — 
753 uiyLoyoLO ftvyuTQSg edd. — 

In fine add G MANE'@£IN0Z AU.OTEAEZMATI- 
KSVN | BIBAtON g TETElAEZTAI. 

LIBER IV. 

1 7tXu6TLyyog G. — 4 i^ovoiirjvag G, i£ov6(irjvu A. — 
6 t]LiLik7fl • uTtOQQsiri G, rjfjLLTiirjyL TtOQsirj A. — 7 -iteo^rooa 
edd. — . 17 fe /3tW coo>7£ G. — 21 ^colSlol^te G, £mcW 
cf ot^ ra A. — 29 ulQ-EQolaiLTti} G, quod errore relictum in 
K; uld-EQoXuLiTtjj A. — 31 qe£el K errore. — 33 lvm\g 
hic quoque G. — 35 An /3 loto6%6tcov ut infra 572? Sed 
cfr. supra 28 x X v r TSQLLOvog coQrjg, quamquam hic quoque ex 
77 §LOTSQiiovog praesto est. — 37 Sqollov G. — 38 r)h 



PRAEFATIO. XIX 

edd. — 40 TtoXsfico] tcoXecov G, tcoXecov AK. — 43 tcoXv- 
%Xeog OLGErat olzovg G, tcoXv xXiog oXget ig oixovg A. — 
44 TCEQiXa^Tceog edd. — 45 a^cpiTCoXevEL G. — 49 tc6t(aco] 
xoGfico edd. — 52 voosQcog edd. — 53 SvvovOa edd. — 
56 TCuva&E6yuog avrJQ edd. — 57 alaxQEOfjbv&og edd. — 60 
xenra fio^O-cug edd. — 65 r\v fihv ydg edd. [| (iegoevtu G, 
(.cEOaovvta A. — 68 „«c to/^j Tift^g {ivOvfJQia tev%et 
aitiOTa edd. , clausula v. 64 inepte repetita, quae sine dubio 
invecta est, postquam genuina perierant. Eorum fortasse 
leve vestig-ium restat in scriptura v. praecedentis, de qua ita G 
scribit: „Sic edidi, quum in MS. esset aTtXdrov 6LaxoG(ir]roQa 
KOfiTcov^ eique superscriptum aTcXdrovg 6L£Y.oG(ir]TOQa, at in 
margine 70. &eojii]roga xoOfiov^ quod superius" (v. 7) „occur- 
rit, ut pateat locum diu fuisse ambiguum." Hinc ad rifiijg ad- 
didi Se^ versu lacunae signis expleto." Ita tum quidem dis- 
serui, nunc vero locum mutilatum ex relictis laciniis satis pro- 
babiliter mihi restituisse videor: cfr. II, 243. III, 80 de eodem 
schemate. — • 72 xal %aXa(i,oyQ.] i% zaXafioyg. edd. — 76 
te om edd. || a%Qr]Evrag edd. , ayoioevrag K. — 78 XQaxey] 
xard yrjg edd. — 81 G£XrjVLa£cov rs vogolGl edd. — 83 
yrjgrs G, yrjg ys A. [) qdeqolto edd. — 82 l6 > iv] etl G , sed 
sl 6" iv M. — 85 ivoXfiovg edd. — 86 &i]Xvyovovg 6e 
texvolGl xal svTcarOQag % arQSTCTOvg G; %al drgeTcrovg ceteris 
corruptelis retentis A. — 87 6vvavrog edd. — 88 nXayxrd] 
TtoXXa edd. — 89 iv j-evivfiw K, quoniam sequentis versus 
defectum nondum perspexeram. Patet enim tale quid deesse: 
— ■ — — — iv £ev£w rs 
ro tcXslGtov £corjg ^a^' aXojofisvog roXvTtsvasL, 
elvaXCag vrjdg rs 6L£vd"vvcov (3lotevGel. 
95 yovLfirjv cogrjv edd. — 99 r'feo&aL G. — 102 TtXovro- 
Toxog] TcXsLGToroviOvg edd., TLKTOfdvoLg dubitanter K. — 104 
6' ov% s%el edd. — 105 B r Gv%h]g G. — 106 r om edd. — 
108 d(ia rgo%Lr] G, d(iarQO%Lr] AK. — 109 gol edd. — _ 114 
Xirrjg] XsTtrrjg edd. — 115 coXero edd. — 126 #] r\v G, 
r\v A. — 127 GocpLT]GLV aQiGrovg v, quod apud hunc propter 
129 mutandum erat: cfr. 141. 203. — 132 Post hunc alium ver- 
sum deesse nunc demum intellexi, cujus quae textui intuli verba 
ex IV, 45 et VI, 484 petita sunt. Vix dubito, quin olim totus 
locus hoc modo scriptus fuerit: 

MANETHO. b 



X.X PRAEFATIO. 

r]vt%' > dv Iv Y.axrircp %6ouov uiaov aucpLitoXevr] 
ov quv 6v iv Hoc&vyQcp rj v.al tctsqosvtl cpaavQ-slg 
£mdtcp — ; cfr. VI, 451. — 134 i'dQvg G. — 135 #' aiQrj- 
osrat,] &r]QccaaerccL G, &}]Qr]0etcci A. — 136 fueqov G, tueQco 
A. — 137 %olvcovov itdvrcov G, %olvcovc6v Ttdvrcov A. — 
138 e% &aXducov edd. — 141 Ex I, 303 intrusus videtur. — 
145 ocpd-fjvai. ycch]g re reuetv %ccQ7tov Ttaga vcora nulla notata 
iacuna v. Versum , quem olim „multis tentatis emendare non 
potui sed intactum reliqui," jam recte constituisse mihi videor: 
de TtQoarrjvaL cfr. 63; tum tale quid excidisse videtur: 

— yatr\g re re^etv %dra a>l%ug aQOTQOj, 
yutiqg d' uurj&ivru cpsQSLv v.a.QTtov Ttegl vcorcc. 

Vid. a 366 — 375. Nisi potius omnia ad messem referebantur 
hoc fere modo: 

— yatr\g re reuelv v.aQTtov dQsndvrjGLv, 

illsdaV0L6L SSSLV T£, dSTOV TS CpSQSLV TtSQL vcorcc. 

Cfr. Z bbO — 556. — 147 eyoL G. — 154 ur]vi] re edd.'|| 
lo%evouiv7i te G. — ■ 156 %eivOLOL edd. — 157 E e Qujjg d 
e?g ol%ela G. — 159 E' 'aaeaftai G. || v.elva. G, %aLvd A. — 
167 aOTQO%v %X6e00ccv G. — 171 fiaXr] G, fidXr] A. (| cpatvovxL 
edd. — 173 "AQeog] al&eQOg edd. [| aLoXaitdXagte TtQOcpccvei 
G. >#- 174 t' om G. — 175 In K lacunae signa non in 
medio versu, sed post eum posueram. — 178 oe] re edd. — 
183 Xvqly.cqv] XoyLv.cov G, %oql%cov A. — 187 'Ageog] al&ioog 
edd. — 188 d%ttveaaL G. — 191 %aLviauar edd. — 
194 e%] ev edd. — 195 eitavta%coai G. — 200 %a%d 
deLTtva] y.arddeLTtva v. In clausula haud scio an eXv.vOuara 
XvyQu scripserit. — 206 KvXXrjvtog edd. — 209 el f Xi%a T ] 
J]vi%cc G. — 211 udvrLCcg ea&Xovg] udvriv e%rr]v.ev edd. — 
212 vSgofidvTLg eQei-ev G. — 216 Xvooouccvovvrcov edd. — 
217 OeXrjVLtt&VTtt A. — 219 uiya] uiycc G. — 220 (irj- 
dicov tt7tttf.ir]TOQag] Ttaidcov iaour]roQccg edd. — 227 tego 
XrjurtTOvg G , tegoXr]7trovg AK. — . 230 diaXauTtccda G , di 
XauTtddag A. || dvrlcc] d%xtvL G. — 231 r) 6qouov elg] r) 
uov 1] G, r]e Sqouov y^ A. — 233 ipevOrccig v. Cfr. 186. 344 
235 %ttTavccLdL0T7JQttg G. — 239 ficdvcov] Occivcov edd. 
240 ro'E,6rec6re paXrj G , Totoreco ye fidXr] A. || oeXdeaai ueXd 
frnov edd. — 242 Aicov re] Xiovrog G. — 245 t om edd 
|| lueqoiaaiqg v. — 247 <$'] r . — 250 ev aXXr]XoiOLV G. 



PRAEFATIO. XXI 

"251 oy&ocpOQOvg G, quod ne mutes in ovQ-ocpogovg, vid. 259. — 
254 7tccQ<xv%v6lr]6i G , 7taQaLyv6ls66L A. [] LisXiq^LcoXvxa M, (.islri 
§LoXvxa G. — 256 IIqoq 8e rc G. — 259 dv&oXoyOL edd.. 
quod vix de QL^oxoiLOLg sive hominibus medicas aut veneficas 
herbas quaerentibus intelligi possit, — 262 Udvx iitl yaiiqg 
G, Ttdvx' ircel ix yaiijg A. — 267 ycc6XQOvoiiovg A errore. — 
268 y-ccl i^iTtOQLTjg te edd. — 269 {iv6sQovg 6r]7txdgxe G, fiv- 
6aQ0vg 6i]7txccg xs A. Collato VI, 463 sq. patet hujuscemodi 
versum excidisse: 

LX&vccg sv xs Xe@r]6Lv ccll' aX[ir] [isXdsvovzag. — 
274 cc6&[iox6zolo G, a6&[iaxLX0L0 AK. — 278 v.XQOLg] eQyoig 
v.' — 284 KQciTOTtccysLg edd., xQaxoTtXayelg K ex em Lobeckii 
Parall. gramm. Gr. p. 288. — 285 %Xevr]g edd. || exoi(ir]v] 
6[ioir]v edd. — 294 Kv&i]QLag] Kv&rjoi] edd. — 296 drtXaxov 
G. — 298 txeXov G, XxeXov A. — 299 cc7tccyyeXXov6LV? — 
301 Post dccLXVfiovag comma v. — 302 (iexaxo6[ii]&evxag G. — 
305 (iOLyaxaxaL[iOLQeovxsg (sic!)M, MoLydxaL, at(i0QS0vxeg G. — 
307 xaxo[ir]xoQeg v. — 311 yeyoTtcoxag G. — 314 al6%QS0- 
KSQdelg edd. — 320 deQOSQysag K, perperam. — 322 qco- 
Ttvgxe G. — 325 Aaox6[iovxe G. ]| iyQe6L86[iovg G. — 
329 Post 8eixvv6L comma v. ■ — 333 MaQ(iaQvyr} 6' dxxlv 
ox dv 6zXaxr)cp6QOg G. — 334 6eXr]vair} G. — 335 7ts6r\ 
edd. — 343 ZcooxvTtrjg G. — 344 0r]6ovx\ rj (ie&68covxe 

XLV06xoXir) G. 346 7tovr\6ovxaL edd. — 351 ibv\ inrjv 

G. — 352 &r]Qd66exaL G. — 355 icpOQco6L xe xovtov G, 
icpOQco6l ye xovxov A. — 356 r)e ALcovalr]g edd. — 357 
TtoQvag pro (layXadag et 358 vice versa [ia%Xddag pro TtOQvag 
K. [J tsvjsl t a6rsla cpvsi6ag edd. („MS. Ta6T0Lacpvsi6ag u y — 
358 UoQvag xal TQL^dSag G, TtOQvag Te TQLpdSag % A. — 
363 OQi%n G, OQL^ei A. — 368 ix&e6i)]v] ex&saiv r) edd. — 
369 Q"r]XvT6xcov v. — 371 -9 1 ' om edd. — 373 TtoveovTa G. — 
376 6vv ts edd. — 378 XQrjaariaL G, yor\iiaTL xal A. — 379 
{ir]vr]g G. — 380 itXayxxov G. — 381 hcsstai xeivav (,,Su- 
perscr. s66sx' ixeivcov") G, satai exeivcov A. — 383 ix] xal 
G. — 385 ix] r) G. || xeXeov6L XoyelaL G, TsAe&ouft XoyelaL 
A. — 386 ya&tfff'] cpdog r) G. — 387 &r]r]xcov] xoxe &vr}- 
xcov edd. — 388 ov\ co edd. — 390 E"aasxa.L <T iv yeve- 
■d-XccL6L* („*In MS. haec sunt ab manu secunda , quae erasis 
antiquioribus haec inscripsit") G, eaxaL 8' iv yeve&Xrfii et 

b* 



XXII PRAEFATIO. \ 

in iine igu&Qstv A sine ulla apertissimi defectus suspicione. — - 
391 "AQijg edd. — 397 v6u6lv tfnTOQug G. — 398 rs om 
G. — 401 MoiQrjg edd. — 408 uv%r\6co6Lv G, uvyr\6ov6LV A. — 
4J3 u[i[3Xco66ovg (f ayvvai^i (sic!) M, Al (A$Xco66QLg (f u yv- 
vul£l G, u[t(3Xco6[iOLg ds yvvuL^l A. || cpv6Lg ex I, 338 intuli ; Kv- 
nQLg edd. — 423 IS i]yy\TrJQug edd. — 427 dsohJTtrovc 
AK, sine necessitate. — 430 „Hunc versum, qui est apud 
Gron. 441, huc transposuimus." A. — 442 avdoozaxovg G. — 
448 tyr\cpidcov'? — 452 i\d' iv] r)v (jlsv edd. [] usXovtul G. — 
453 aL&Qrj G. — 455 6l8v(jluto%utucpv6st'' M, didv(iu to- 
v.stu cpv6sr G. — 460 OvQuviov G. — 468 vnovQyovg\ 
vxsQ yijv edd. — 469 /utGx^oo] %o6[xco edd. — 472 "Aqsu\ 
uiftsQu edd. — 473 ivuvTLOCovTu] ivavTiov u6tqu edd. — 
474 (iSQOitrjiug G. — 481 umotg r\\ uvtol6l G. — Inter 
485 et 486 inserendum fuisse I, 313 jam is qui librum Halensem 
descripsit indicaverat: nec tamen recepit A. — 488 cpovioig\ 
cpofisQOLg v; 1,316 6cpuyioig legitur. — 490 XvyQOv] ttlkqov 
edd. — 507 uIIotqlovq &uXu[LOvg sequentibus junctum G, 
uXXotqlov &uXu[iov olim K. — 509 lsQonXuy%rov G. — 510 
(ir\vy\ G. — 513 ysvsr\vT G. — 514 l9-vSlkulol\ r]6s (3icaoL 
edd. — 516 in u6TQ0Lg edd. — 524 TL(ir]v antecedentibus 
junctum edd. — 531 6q6[iov] voov v. — 534 s'% t ivv- 
Sqcov edd. — 535 tsXsov6lv edd. — 536 tsXscov] ts Xoyt 
G, ys Xoycov A. — ■ 540 MuQcpuxTOv G. — 546 6vvds6(xovg 
qv6ijlolo edd., 6vv8s6(jlov Kqovlxolo K. — 547 16*'] iv G. — 
548 &s6Xr\[i7tTU G. [j u%qutqsvtl edd. — 549 noXXuT G, noXXu 
d A. |j %ul uvQ-QcoTtOLg edd. — 551 \3icov G. [] nsXsv&ovg v. — 
555 vsKQOSLdrj] vs%QodsQ%rj v , corruptum ex verbo quod ante- 
cedit. — 556 [xr\vi6fiu6i edd. — 557 o^v^oXol edd., b'£,v- 
yooL K. — 559 &su v. Consulto volgarem formam etiam in 
ftsu retinui. — 560 sX&rj] ocp&fj edd. — 565 diu nuvTOg] 
6lu 9v[ibv edd. — 571 vsbv G. An &obv1 — 575 (iiy\ 
(ist edd. — 576 %uQnco6u6$uL edd. — 577 (xsQonog no- 
qov G. — 583 cpuivrj G. — 585 ts to%olo\ ts%vol6l G, 
zslvol6l A. — .587 dsLy&slg edd. — 590 8l8v[xuto%ul edd., 
SLdv(iu6TQ0cp0L K^, quam insolentiorem formam nunc mutavi. — 
592 uL6%Qs6cpr][ioL edd. — 596 i%&s6i(ir\v G. — 598 Cvv- 
uir\ G, 6vvir\ A. [J t om edd. — 599 Xu(xno(isvco edd., 
Xu[X7t6(isvoL K. — 600 i\[U6v SovXoi G. — 606 An potius 



PRAEFATIO. XXIII 

TtEVTaXL KVQElCUg T£ %CU ETCTCCKl KaiVL6%EVTEg1 609 

NeiovGcil G. — 611 alysLVcovxs nal i%&Qcov G, dlysLVcov 
i%&Qacov A, ELQKtcicov aXsysivcov majore quam opus erat moli- 
mine K. — 612 rtd&og] ysvog sine lacunae suspicione edd., 
quae etiam ante drtoXrjyr] add S\ — 614 &r]Qo@oXov G. [] 
y.kcoo&svTd G. Unde A Q"}]qo(}6qov ftdvaTO v cpcoalv %Xco6Q , svTa 
PQafisvsL lacuna non cognita. — 615 rjSh G. — 620 cog 
dv £col'Slcov — TSfivfj edd. — 621 t siScoXcov] ts Slkt]Xcov 
G, dsLKrjXcov A. — 625 srtcov G. — 626 E v(isTQOLg aycoOL 
G, iv (isTQOig ayvcotSL A. — 

In fine add G MANE'@£IN02 AIIOTEAEZMATI- 
KSTN BlBAtON A. 

LIBER I. (V.) 

20 ETaLQL6LV, Tjdh XacpvQaLgG, ETaLQLtiLV rjSh XacpVQa A, 
ETaLQLCjLV, ?)6h XacpvQOig K „vocabulo insolenter ad captivas 
puellas traducto," quod jam non sufficere videbatur. — 24 
tolQlv] TOVTOLg G. — 39 %Qc6(iarog G, %Qrj(iaTOg A. — 41 

(IOQOV alvOV OVK EKCpEVyOVCSL G, (JLOQOV alvOV V7TSKCpEVyOVC)L A, 

(jLOLQav d' ovh SKcpsvyovcSL K majore quam opus erat moli- 
mine. — 44 avTolGLv] avSQ£66Lv? — 47 %QaTE0v6 > edd. — 
54 0'%&ovg G, 6%0-ovg A. — 60 ditrovT rj XvQrjg evqv&liolo 
G. — 85 olt ini edd. ■ — 87 rtaQvyQ0L6L edd. — 88 
lSlcov edd. — 91 t om edd. — 100 iXaLOcpoQOLO edd. — 
106* ts om edd. — 117 ftrjlv G. — 120 Selvov G. — 
123 r)dh v.ai avTog] sl *Si %sv ovtco edd. — 124 %ai KQOvog 
dficpLpdkoL edd. — 126 alvoTSQ* ovTag G. — 137 Xovlol 
G. — 142 i(irtlrtQavTaL v. — 144 %7]Q0l6lv] &r]Qoi (isv 
G. — ■ 148 a%ksLcog (is& sov (ioqov i6TavQco6ag edd. — 
149 ovTSTar] Ovtl TaS' G. || r)Xortayrj G. — 155 ol %sv 
srtSLTa edd. — 159 hic legitur pentameter quem infra sub 
E 29 posuimus. — 160 tqv%c6(ievov G. — 165 AsrtxaXsoLg 
G. — 168 oXXv6l G. • — 170 iyv(iva6sv i)(ia6LV G. — 
171 ts om edd. [| aQyaXtaig rtsvCs66Lv G. — 172 ivSsts66LV 
G. — 174 6TvysQco — 6lS?]qco edd., quod infra sub E 29 re- 
tinui. — 173 A r 'g ts yovrj <?', dyvvaLOv utevovt iv veoti]tl 
G, quod feliciter em A de transponendo versu nihil sentiens. — 
159 A'vsQa (j' i%Tr\%EL G. — 175 tovtov edd. — 179 H 
rtdd-og r)rtXcoov6iv G, rj rtd&ov (junctum cum 6ivog aivov~) r] 



XXIV PRAEFATIO. 



„ 



I 



Ttlcoovacv A lacuna non animadversa. — 180 IIcccplijv G. 

fl£l>] ZSV G. 181 Tr)v 7TQaE,lV £%0V6LV G. — 185 '(7(JO/ 

G. — 188 [iLvvv&adioLaL edd. — 189 av%y\aavTa edd. — 
190 &7]Qieaat, G. [] Qv£rjacc6ai edd., QOt^aaaai K. — 192 Av 
xai G. — 198 aftavazoiai &V7]Xr)g (&vr]Xr]g G) edd. — 
204 xe om edd. — 213 xsXiasLSv edd. — 214 sliev] sbv 
edd. — 217 TtQOKOixrj axsQsovaL G. || ddaaovaL („in marg. 
adscriptum axsdaaovaLv, sXaaovaLv u ) G. — 221 %Qcb[iaTOg G, 
%Qf]iiaxog A. — 222 «V ev7tOQLj]g]sv svTtOQLrj edd. — 230 
HsXiov xs] r]sUoLO G. — 235 ]]] r)v G. — ■ 242 oXoal xr\ 
QOvaL G, bXobv xr\QovaL A. — 244 Xvaaocovxsg G. — ■ 252 
avxovg] avxag G. — 254 A tyaftivag — ■ aQapsvag G. — 
255 SaLOyusvag — ita&ovaag G. — 256 Kqovov juitfr/ G, 
Kqovov (jusaar] A. — 261 cft] nal edd. [] cpiXxQa] XizxQa 
edd. — 270 §loxov G. — 272 Molqtjv evxbg eyovaa G, 
^0iQ7]g evxbg syovaa A. — 273 "AQsbg x ] "Aosog G, "AQScog 
A. — - 282 xcc&'] ht G. — 292 aocpieaaLv G. — 295 
y.oa^ibv G. — 299 evxviticov („Suprascr. evxv7tiag u ~) G, 
svxvxxcov A. — 302 E ( Qpsia („Suprascr. eQfxsiov u ) G, 'Eq- 
fisico K. — 306 a^icpLXEQcog G. — 307 Xa^sv^iaxa G. — 
310 STtavvnxoQag G. — ■ 312 cpcoQa&svxsg G. — 313 (7t<fy- 
Qosvxaxs G. — 315 Consulto compilatori suas sordes reliqui, 
quamquam facile aut fiioxov XsitySL aut ftavaxov fiXsipEL 
scribi potuit. — 317 ay%oviovra G. — 321 Kqovov G. — 
326 vTtoxQOfiov G. — 327 nvavo%QOOLO G. — 333 X» Ix 
G. || av%r]aovaLv edd. — 335 MaQxvg <T ettl xovxo yivrjrat 
%al IJvQOSLg , fi f iir\xr]Q TtQOXEQf] oX%sraL slg atSiqv G, quod re- 
tinuit A, ego ex IV, 410 sq. redintegravi. — 342 avsQEipLv 
G, axsQsasisv A. — 345 xr)Ss] xovads edd. — 348 Evxv- 
ysg s% yeveijg saasxaL tovto &i{ia edd., sed „MS. sasLTS u G. 
352 svTtQaxTOvg edd. — 355 ttoXXcov %a%cov G. — 356 % 
u%u\ sisL G, #' s^sl A. — 359 itXavcovTs G, sed „MS. TtXa- 
v n Toiv u . — In fine add G: MANE'@&1S0Z A^HOTl 
AEZMAT1K9TN \ BIBAtON A \ HEUAHVSITAI. 

LIBER V. (VI.) 

2 r]vQaro v. ■ — 3 t' in edd. post aaxQcov legitur. 
5 %szba(ir]TaL G. — 6 fiXv&v] §Xi]6cov G. — 7 y Slcc] 
H\ <5' ixQa G, «£ <5' «{)« A. [] ovQavLOv %oq6/v edd. — 8 [aol- 



PEAEFATIO. XXV 

QCli0L6l\ MvoioLOL G. 9 ft i(A7]OUTo] inE(JL7]GUT0 G. — 

11 oi;] Ov G. || 8 oni G, y A. — 12 yevioeiug G. — 15 #'] 
y G. — 18 Moigy]v G. — 21 nuQi&r]zu yeXolu edd. Em 
Jacobs. ad Anthol. Palat. p. 671. — 22 XQvoeu yuXzeioLGLv 
G. [J enr] A , perperam. — 23 uoylog %qvoco edd. — 24 
Y.oyXdSeOoLv G, quod fortasse retineri potest. || neQLnoQcpvQOv- 

TOg V. 28 &l Qf} 8 UYQL§OVTUL @QOTOLOL G, COQ7] (T aXQL- 

fiovou §qotolOl ordine volgato retento A. — 27 ipevOr]TUL 
G; coQt] tpevarjTULy ucc e^coha&ev A. — 29 ait ovquvov 
aQeQL novXvv edd. — 30 enTunoXoLO G. — 31 kul] ylve- 
tul G prono errore propter antecedens yivog, quo non animad- 
verso A versum ylyveTui uicovog QL&g, cpvOLOg noXvuoQcpov 
scriptum post 28 posuit. — 32 OcpuiQcoci uvu] OcpcaQcouuTU 
edd. — 35 Versus, qui post 34 excidit hujus consteliationis 
primus , initium Zevg fuisse patet, — 42 oV «V, pro quo A 
eit})v. et Xevoeie ut alia consulto huic reliqui. — 44 Gr}]uaOL 
y.uXov] a%}]'daaLv a.XXog G. — 50 tovtcov edd. — 55 sq. 
sic in G leguntur: 

* Wv%QOg yuQ te niXeL Trjde Kqovolo fiolr) 

KUL 7t7]yVVTUL 

O ijjLfiog. ei 8 uucpco 8i eqlv 8 inl yJvtqov eycoOLv. 
hac addita nota: „Sic ordinavi, quum in MS. uno versu continna- 
retur, tpvyobg yuQ Te itelei Trjde y.qovolo fiokr) %al niyvvTUL oipL- 
jiiog, in secundo ponerentur haec: ei 8' ui.icpco 8l£qlv 8 y inizevTQOv 
eycoOLv. ut versus quinque pedum. 4 *" Priora retinuit A, in al- 
tero versu ei 8' uucpco 8r]olv y iniv.evTQOv eycoOLV scribens. — 
58 avvodoL edd. — 61 uno&dXnetuL fteQucp G, ftdXneL vnb 
fteQiico A. — 63 uOtqolOl unuOLv G. || Y>uxoeQyog edd. — 
65 ivl ^eviipLv] iv vrjeaaLv (addito re ante yul A) edd. , iv 
o%vdrpiv K. Cfr. IV, 89. 162. 470. 521. — 67 ZrjXog G. || iy- 
v.XvfiLug A. || avuyzrjv] uvir]v? — 68 uXXonQOGuXXu sine 
lacuna A. — 71 E'g noQir]v G. || Te om G. — 72 cu}\g\ 
dvuir]g G. — 76 otuv 8'] oV uv G, inr)v A. — 77 O"ooov 
eycov G. || XevaeL G, XevOrj A. — 78 iteXeruL nuveipeQog („Su- 
perscr. 7Cavrjfi£QOg ii ^ G, niXeT r)e nuviueQog A. — 79 iTtLy&eig 
G, inELy&elg AK. — ■ 83 inl nii'&L[iov („MS. iitLnev&Luov*-) 
G, k'nL nivd-Luov A. — 86 Tluiovtug G. — 90 H'8e (sed 
yfitie MS" et „superscr. ei 8e") G, ei 8e A. — 91 dpiiGfibv] 
8eOubv edd. — 94 8vvavTeg edd. — 96 ncvvToi G. — 97 



XXVI PKAEFATIO. 

6' om edd. || psy uelq6(ievol] STCLysLv6(isvOL G, stcl yELv6(isvOL A, 
avETCEiyo^iEvoL K. — 98 i/jaiSffavrEg] cpv6avxsg edd. — 99 unus 
versus in G legitur sic : 0vQuviuL6L ftoXuZg cog u6xsQsg i]X&ov stc 
ucpvco *, sed hac addita nota: „ * Post hoc verbum in MS. ad- 
scribitur uveXu^uv^ quasi id his adnecti deberet." ovQuvir>6L 
— ■ r)X&ov stc dcpvco A. Cfr. III, 67 sq. — 104 ysXoiovg K. 
Sed facile tale quid excidere poterat: 

— — > — — o%Xol6l ysXoicov 
SQycov 7CQccy(iaxLrj (isya %uq(iu cpeQOvxug etevj-uv. 
Cfr. IV, 277. — 105 (isv supplet A. — ■ 107 6xo(iuywv 
%QvcpL(icov G. — 112 Msicov <T 7] (isi£cov G. — 116 Sux- 
volaLg G. — 118 sig vo6ov OQyfj edd. — 122 yuQ s%sl] 
tcuqs%el corruptum ex versu antecedenti G. — 123 %slqov' > 
utc] %elqcov edd. — 124 Mi(ivi]g u6%0(isvr] Suvlqv tceq utcco- 
Xe6ev l6oxsXt]6ev G. — 128 scpv 6sv] su6sv G. In alia omnia 
abiens A ovxol su6lv tcxco%oI, %SQvrjxaL xuXutcelqlo l r]6s r' 
aXijxuL. — 133 6s6(iofiQO%ovg G. || &cor]v] ^corjv v. ■ — 135 
ML(ir]Xug G. || %u(idxov edd. — — 139 Infta xoxs Ilucpii]g 
{is&odsvsxuL , YyUL ror' szsLvog G, 6%r](iuxc xrjg Hucpir]g (is&o- 
dsvsxuL, r]6s x ixsLvog A. — 140 A' QQEvo&rjXvg scov %o6(iel- 
xaL tcetcXol6l G. — 141 %al xovxcov u%ql 6r](iov <&v(isXs66lv 
SQU6xag G, %ul xovxcov uq%sl 6?](iov •d'v(isXr]6i,v uQE6xog A. - — 
143 EQu6xulg G. — • 146 6%oivcov l6s IsQOcpOLXOv G, 6%oivcov 

7]$ 1]EQQCpOLXOV A. 147 TCXEQCQV G. 149 EVQOLg v. — 

151 Av&qcotccqv 6vvov6av Lquv, oxl vuvxlXov („MS. vuvxr]Xov u ) 
vyQr]v G, uv&qcqtccqv 6svov6uv oqu xoxs vuvxcXog vyqrjv A. — 
155 1] v6qo%6cq 1] l%&v6l G. — 157 6' om AK, ille consulto 
cum v. antecedenti 6vvcov ccq kuQ^ v6coq 6E6(isv6(isv6g scri- 
psisset. — 158 TCoXvxQi]xovg G. An fuit ^vd-ioco tcoXvxqi]- 
xovg? — 160 u6&(iu G. — 161 vofiiuv G, vo(iir] A. — 
163 &6ul6lv %Ld-uQr]g vevqo6sxov („MS. vevqsv 6e xov superscr. 
vsvqov u ) G, nostrum A nisi quod xl&uqi] habet. — 164 
%uX%co xs TCuQs^sxaL TCvsvfjLu G, %uXvlolo TCVSVlia TCUQS^SL A. — 
167 Tr]v 6' uXXcov (iOQcpi]v xolg %qcq(iu6lv cq6e 6lcokel G, quo 
retento v. antecedenti stcl%cqqel pro stcl %coQr] A. — 169 stcu- 
vucpEQrjxuL (jlex* r)sXioLO G. — 170 H*vioyov — 6leq%6(ievov 
G. — 171 tccoXcov] £o3cov v. — 172 Kul vse6sl 6vqxy] edd.. 
sed Kufvssg el6vqxt] M. — 173 vipco(iuxL ov6u G, vii)co(iux' > 
lov6u A. — ■ 175 %QH]6u(iEvr] xs%vi] — dva§aivsL edd. Em 






PEAEFATIO. XXVII 

A. — 177 el <T "Aqeu v. || yvofajg u%qcovv%xov G. — 178 
xe om G. — 181 ETtLcpcoXEvovxu %ivxQu G, eitt cpcalevcov %uxu 
%ivxQu AK. — 182 Tr)v tcqu^lv Zr]vl %ul xbv Kqovov vtvo- 
yELOv G ? xr]v TtQrj&v fyxfj %u\ xov Kqovov ov& ' vnoysLOv AK; 
xr^v Hucplriv xtjqtj %ul etc. conjecerunt AR. Locum, de quo 
olim desperavi, omisso vocabulo male suppletum nunc probabi- 
liter restituisse mihi videor: signa, in quibus centra habere di- 
citur Mars, accuratius indicanda fuerunt. Et cfr. supra 84. 
154. — 184 uvxolg edd. — 185 uvxoLiuvovg G. — 186 
tCQOxulovvxag] 6e %uXovvxcov edd. , nu&elovxug K. — 188 
vrtodlipLOv v. Em A. — 189 Li£6ovQuviov6u G , quo servato 
alius xv%r]GL scripsisset. — 190 6vv ^eXlco <5' („MS. rjUco"} 
G , 6vv y 1 *HXlco cav A. — 191 v%06r\%Exut %iv$LLiog uvrjQ 
G, v%oxy]%el niv&Lfiov uvSqu A, v%oxr]%ExuL UL&Lvog uvr]Q K, 
pro quo nunc consuetum adjectivum reposui. — 194 vbg om 
G. || vcpLGxuxuL Xevkov G, vcpiGxuxuL uQybv AK; sed nunc sol- 
lemne .fulminei dentis 4 epitheton retinere satius visum. ■ — > 195 
H yvuitxolg ovv%e66lv Xulliov uvoqv^ev OQLOig G, rj Xulliov 
yvuLi%xoLg ovvyEG6' uvoqv66ex oqelov A. ■ — ■ 198 6vvX£L^0Liivr] 
G, GvlkEL^oiiivr] A. — 199 LiiXu&Qu edd. — 200 HoXXu%l <T 

7} TtXCOGLV G, TtolluKLg £V TtXCOGEL A. || ijf %COLLUXL G, %UL %CQLLUXL 

A. — 201 KkELvrjdbv i%iQr]'E,s G. || 6vv&Xcollevov G, 6vv&Xco- 
Liivov A. — 203 Ti%vcov G , xe%vovv A. |[ %£dovr]LOv G. — 
204 tog uXXr]v u6£@r]L0v r\ 'lo%u6xr]v edd. — 205 nul om G, 
quo non suppleto Lir]XQVLf]6LV 6vviLiL£,£v A. — 207 LiuQXvg] 
(iccvxLg G. — 209 xol Tlxuv lCev] liev Tlxuv G. — 210 yrj- 
&el AK. — 212 r]de edd. — 216 xsXov6uv yvvuL^lv xe 
6WEWUQ0V6UV G, xeXov6l yvvuLQ 6vvevvuZ,ov6ul A. — 221 

MOLQr]V VEVQOXOLIOV E6cpLyLlivi]V U%QL6lS7]QCO G, LIOLQUV VEVQO- 

xoLico E6qjLyLiivov u%qu 6l8}\qco A. — 222 TLXuvog £6xlv iv 
ol%co G. — 224 uxLLir]xov v. — 226 XLr\v] XdryvxE G. — 
229 £%LLir]%£u G. — 233 6u%uve66l G. — 235 coqtjv] %co- 
Qr]v G. — 236 8* om edd. — ■ 237 E'x&QOvg £%%xco6el G, 
il&QOtg 6h Ttxco&L A. — 238 e'l%el\ uq'S.el G. — 239 yQa- 
cpulg £%eqel6exul vi\)o6e yulr]g edd., yQucpuig uitETtElyExuL uXXo6e 
yulr]g K. — 240 Xv%r]g 6l%u • xotg enl xi%voLg edd. — 241 
yQucputg] yovulg edd. — 243 6vvu%xol G. — 245 %lvv- 
xov, iv yvLivu6L xbv E^qlitjv G, %lvvxov % \ iv yvLivu6l6Lg l6ov 
EQLifj A. — 246 r]d" uq' ol] uvxuq (sic!) G. — 254 &Xu- 



XXVIII PRAEFATIO. 



. 



itxsL („MS. (3Xa7txr) u ^ %al % Ivi cpco6cpogov ccl&qsi G. — 
naxlSoL, xa%Lvbv („MS. xa%LXov u ) %al G, %axiSoLXO. %vXov %al 

A. 257 LEQOv] (IVQLOV G. i 2o9_7tOQCpVQE0L6L CpSQEL 

G. — 261 K' r\v G. || ifjldoi vifjco(iaxL ov6av G, igiSrj vtyco- 
fiax^ lovGav A. — 262 £$ qov6[iovxe %Qaxsi, xov %vsv\iaxog 
avxog o §Qa§svg G. — ■ 263 %aQLE6xaxov jj&aS' iovxa edd. — ■ 
267 djtQOvorjxov] ccTtQOcpLSrjxov v. — 269 cpLloTtQaypova 
edd. — 271 cpv6L%6v G. — 273 xQocpatg rj iv lSle6l (isXl6- 
6aLg G, XQ0cpfJ6LV iv rjSsLrj6L (ieXl66cov A. — 274 6vvoSevol 
G. — 275 EvTtvQog G. — 277 ibrjcpcov (ifjijcpcov G) 6 cpLla.Q- 
yvQog v. — ■ 279 Xivcov G. — 285 %al rjv G. — 292 cpaLVO- 
fiEvoL tcccXlv %al KiaxaQL^optEvOL quasi pentameter esset edd. 
Aut ante aut post cpaLv6(isvoL videtur XayatQOL seu tale qtiid ex- 
cidisse. — 295 yrj&ov6LV AK. — 296 do^aiGiv G. [| lila- 
XrjvxaL edd. ■ — 297 &aXcc(i0L6L] Ss xo%ol6l edd. — 298 
ISicov] Sl66cov edd. — 301 xe %al] xal G , r)<¥ A. — 302 
Exaxi\6L0v G. — 303 ni&sxaL G. || cpsvys G. — 304 iita- 
yaXXo(iivovg TtEQLSQya G. — 306 i% Ss (ii%Qr)g ifjv%rjg G. — 
308 et 309 franspositi in A. || 308 %Qv6ocpvQrjxd G. — 310 
Saitdvcov G. — 311 SiSovxsg suppletum in A. — 312 iXsco- 
[isvol (irjSsv G. — 315 dXXcog <T cog edd. — 317 itivvxag 
x] mvvxhg G, itLvvxdg A. — 319 xs om G, Sl&vqol6l A. — 
322 rjvxs EQya edd. — 323 al6%Qcog edd. — 324 rjovgxs 
G. — 325 H ' TtoXXcov G , Sr) noXXcov A. || sqs ccxs%voLg G, 
s6xaL dxs%vog A. — 330 6xelq aXo%og G. — 338 Av66a 
Ss G. — 340 a{if}XvvsxaL %al (isxafidXXsL G. — 

In fine add G MANEQSINOZ ATLOTEAEZMATI- 
KSVN | BIBATON E. 

De fragmentis Dorolhei atque Annubionis simpliciter repe- 
tere placet quae olim breviter admonui: 

„Corollarii loco nonaginta ocio astrolog-ici argumenti ver- 
sus addo, quo.s Iriarte Tteg. Bibl. Malrit. codd. Gr. p. 244 — 46 
ex ))inis foliis chartaceis manu recentiore exaratis, quae codici 
LXVIII typis excuso inserta erant, descriptos dedit. Eorum 
triginta tres jam Salmasius protulerat: 1 sq. Exercitt. Plinn. II, 
p. 1227. — 8 praef. adDiatrib. de ann. climacter. 22 — 25. E. 
Pl. I, 652 et A. Cl. p. 289. — 31 sq. 34. E. Pl. II, p. 1235. — 
59—62 lbid. — 63 sq. 66 sq. 69—71 A. Cl. p. 291. — 73 sq. 
Ibid. p. 292. — 80 E. Pl. I, p. 654. — 87—94 Ibid. p. 655. 






PEAEFATIO. XXIX 

Quae ego in his praeter accentus et interpunctionem simi- 
lesque minutias emendavi, haec sunt: 2 e^cj5r?] c (i. e. co- 
dex). — 6 TTcuocfiicov c. IlagaovipaL sive IJagavaLOL , „de 
quibus Plutarchus et Stephanus Byzant." succurrunt Iriarti. — 
7 &QrjXcov c. — 10 X. dgveg coyvyiaL agv. d. edeazov c, ini- 
tio addi volebat rijd vtio Ir. Cur coyvyir\g epitheto distinxerit 
quercum, disce ex Max. varagy. 490. — 11 fia&vdivyjg re c. Imi- 
tatus est II. O 195 fiad-vggsirao (liya ci&Evog SlxEavoio. — 12 
'Ayaizbv c. s6ys c. Olim cogitabam de dygi. — | 15 avrov c. — 
16 Kalyr^cov c, em. Ir. ; didovg d6u,7} &ela c, Aib*. %al Sc6(iara 
'd-Eta male conj. Ir. — 17 Ivfiii] t v% 0(i(ia6L c. Intelligit 
mare Mediterraneum: cfr. 8 et 11. — 18 fia&vTtlovxov c. — 
19 vgoviSov Swg xg.« ijdi xs (iv6i]g c, ante rg. Ir. inseri vole- 
bat r r Scribi etiam poterat y%i xs vv(icp7\g. — 21 xixaxxca 
c. — 22 sxvyev c, eitiyzi Salmasius. — 24 xgixaxag c, 
xgizaxog Salm. — 25 , : ad oram codicis nostri exteriorem ex 
adverso versus adscripta sunt manu, qua caetera, variae lectio- 
nes, nempe i'cag pro slaysv, et idys pro &<*, ita ut is in hunc 
modum sit legendus: xag $' vxoX. i6ag cpaCvcov kdys ftovgcp.'''' 
IR. Non praetuli. — 26 rdg om. c, add. Ir. — 31 XQLxd- 
rag c, xgLxdxJ] Salm. — 34 dt c§ c, vml $| Salm. — 35 sg- 
(isiag c; corr. Ir. Tum haud scio an scripserit Qai&cov xag 
STtrdr. — 37 STtdyeL c. — 40 sqq. 6rilficov iitl xolg (toigag 
Kal diva v.vitQLg s. cp. 6. %ax avxr t v ri<56. ETtra d agi]g c ; 
vocabulum (ioioag recte post sysL transposuit et ri(S6agag initio 
sequentis versus collocavit Ir ; pro s%\ rolg legi etiam poterat 
ivl ravrrj: alterum praetuli ex v. 54. — 48 S av c, corrT 
Ir. — 51 rgirag c. — 57 Ss om. c, add. Ir. — 55 ri6- 
6aga c. — LOag c, pro quo laye conj. Ir. operosius. — 60 
(xoigag om. c , add. Salm. — 64 r\(iara et vvv.reg c, r\(iarog 
et vvxrbg Salm. — 66 Ttagd-evLvrjg re c. — 67 "H(iara 
acpgoyivi] c, nostrum Salm. — 70 SlSv(iol6l Salm., fort. Al- 
6v(iOLg 6s; sed cfr. 82. — 72 (loigd^aro c. — 74 i](iarL c, 
i\\ictl <uv Salm. — 76 sz 6' dgarOL rovrcov c. sv vSgi]y6cp c. — 
86 vipco(iara c. — 87 cogovofiov — cogav c, coqov6(iov Ss 
udd-rjg cogag Salm. Sed haud scio an scripserit: cogov6(iov 
(xOLgav Ss (tad-OLg. — 90 kel&s Ss s6TOLyi]Sov c, nostrum 
praebuit Salm. — 97 sysLg c." 



XXX PRAEFATIO. 

Restat unus locus, in quo me „sero sapere" video, IV, 483, 
ubi elegantissimus auctor dubitari non potest quin &vq8cov 
scripserit, cum a compilatore I, 310 turpissimus soloecismus 
&VQ8TQCOV — o&veiawv haud alienus videatur. 

Scripsi Turici die XVIII. mens. Maji. MDCCCLVIII. 



ARMINIUS K0ECHL , 1 



MANE9QN02 
JIIOTEAE2MJTIK&N 

BIBAIA ES. 



MANKTHO. 



BIBAION B. [A.] 

'Ev TCp f$' TOVTCp f5lf}Xl(p 8lE^£L6LV, 

A. TIeqX rrjg d , E6£cog tcov iv rrj 6(paiQ<x xvxXcov CpCUVOflS- 

vcov te xal dcpavcov xal d^ovog xal boftovTOg xal rrjg 
iv TOig xvxXoLg tcov aOTQcov ts xal aOTSQCov dsascog 
xal tcov Xo£cov xvxXcov. 

B. Ti EKaGwg tcov sitra itXavrvrcov iv idico, xal %i iv 

aXXoTQLco olkco cpaLvofisvog aTtOTsXsi. 

r. Tig skcc6tov tcov etctcc itXavr\TCov iv rr\ avaToXrj, xal 
Tlg iv ttj 6v6el SvvafiLg. 

A. TIeqX Trjg <pa6£cog tcov £' 7tXavr\Tcov, xal xl (isv r ixa6T0g 
avTcov tco r\Xico ovvcov aTtOTsXsi, xal xi dLafiSTQcov^ 
%i 6s rrj 6sXr\vr\ %a&' sxa6Tr\v tcov dvo cpa6scov. 



ndvtore Ltev xo6liolo xa% aiftioa xoLQaveovtsg 
'HiXtog Mrjvrj re dtrjvexeg coxa cpiQovrat. 
datQa 8 y aQ rjhv^a llvql dv ovQavcp e6%r\QLx%ai 
LLaQLLatQov% eitl vvx%i, %d Liev 6eXde66LV acpavQolg 
5 ai%v66ov% , co6& o66ov vti 0LtLLa6cv avyd%e6\tai , 
itoXXoX d' av% ai'yXrj6L cpaeivoLLevoi $Xo6vqy\6iv 
a6%eQeg, cbg xal cpiyyog eitl %&ovbg r\LLeQioc6LV 
(paivetv, ev% a6iXr\vov e%r\ Sqollov aLiL3Q06ir\ vv% ' 
xal iLr)v dr) %ade %dv%a do aid-iQog aiev aQr\Qev 
10 aztXave' ev %coQr\, %f\ dr) %d 7tQco%a dida6%ai, 
elxoiLev av%oXir\%ev ecp e6iteQir\v dv6tv aiei, 
itavQ vitb deLxr\Xcov reQarcov %e%VTtcoLLiva LLOQcpalg, 
av%cog de itXiova 67toQadr\v itecpOQr\LLiv' VTteQ&ev. 

1* 



1 MANE&&N02 ATIOTEAEZMATIKSIN 

iievxe d' ccq aOxiQEg olol ayavoxaxoL ducc xvxXov 
15 Zadtaxov %Xat,ovxai a\LEL$6iL£V0L xaxa xoOllov 
xal dsixr\X\ ovg cpvXa (Iqoxcqv bvoiLrvvav aXrjxag, 
xcov [ikv dr) {isxoTZLOds cpiXr\ LLELivrJGoLL dotdfj. 

MaxQog 6*' av 6lcx llegoov iXr\XaxaL ovQavov d^cov, 
dGx£\Lcpr\g, oOOolOlv OQCQLiivco aitQoxiojtxog, 
20 bg tvsqI nav yair\g xs xa\ dxQvyixov 6lcx Ttovxov 
coxa dLrjvsxEcog dLVEVLLEvog ovx anoXr]yEL. 

Tov ds dvco TtoXoL siol xaxavxL%EQr\v aGaXsvxoL, 
6g {isv E7tl xqveqov Boqsco TtvoLTjOLv aQr\Qcog 
xal XEcpaXr\g ayyov fiaLrjg xvvoOovQidog"AQXxov , 
25 aXXog d' iv Sleqcq Noxcq loxaxaL' aXX' 6 [isv vijjov 
xslxaL VTtSQxd-ovLog, NoxLog d' didrjXog vit alav. 

KvxXol d' av Tto X X ol xal ditsiQLXOL ovQavov sloco 
dLVEVvxaL , rovg avxbg dsl GcpaiQr\g OxQocpaXLyyt 

XEV%EL sXlOOO[IEVCQV aOXQCOV XaX aTtsiQLXOV 0L{10V. 

30 xcov di xs Ttdvxcov eloI 7tavs%o%oL ivvia xvxXol, 

dOLOL LLEV ItQOXLOTtXOL LcV OCpftaXLLOiGLV OQr\XOL^ 
OL d' dlXoL p,r]TL LlEQOTtCOV TtQaitLOLV xs vorjxoi. 

eitx' aLdslg [isv saOLV td' iv cpQsol llovvov oQr\xoi, 
dXXr]XoLg ds 7taQa^Xr\dr\v GXQCocpcoLtsvoL aisi' 

35 bg ilev yaQ TtQcoxog * * * 

* * * noXov diVEviisvog vipov , 

ovxs Boq elov cpcoxsg £%ixXr\OLv xaXiovGiv ' 
xbv ds Lisxa xqo% txbg d-sQsog 7tvQLXa[L7tiog coQr\g 
ylvexav * * * * * 

xsivovxaL (iso dxoLO, 6V ov d-obv aQLLa XLxaivcov 
lOrvv HsXLog xev%el vvxx dcL^QOxov rjol' 

40 xcp d J STtL %elii EQioto XQOTtijg xvxXog ioxr\QtxxaL' 
k\sir\g 6*' etll xcq NoxLog keXel, ov Qa xs (5aLr)v 
cpQa%EO LiolQavvitEQ&E, xb yaQ itXiov £G& VTtbyalav' 
xovg ds [LEGovg xeilvovGl dvco xvxXoi d£ovog avxov 






BIBAION B. [A.] 5 

dxQi]g aQ%6[i6V0L xoQVcprjg' avxoC ys pev dpcpco 
45 alkr]kovg d%Qcg NotCov x£\ivov6l tcoXoio , 

og pkv ivl %vr]xoi6L xaXov\L6vog oq&ov^OqCIcov, 
og ds Ms0r](i^Qcv6g vipov dxQrjg xvQxovyL6vog 

ald-Qrjg. 
a^LQpoxsQOL d aQa xoCye TtoXcov svxoGftsv sovxsg 
svxog ssQyovCLV SCvrjv tcsqlksC^lsvol ccGxqcov. 
50 ol6s {isv sv TtQaTtCdsGGLv cxQLcpQadssg xsIs$ov6lv 
yvcoaaa&ac xvxIol. roi)g d' avfir sxsQOvg xal vjt o660Lg 
6sqx6{is&\ svx av yalav 6itLXQ6%r] a^ipQoaCrj vv%, 
xov [isv l'6ov XQOlyi Isvxco cpaCvovxa ydkaxxL, 
xov cf VTto 8slxy]Ioi6l dvcodsxa TtapcpaCvovxa 
SbZcodcaxov' lo^ol d' sitayLOifiadlg st,co6avxo 
ovQavov a\LcpoxsQOL 8C%a xsiivovxsg 6cpsag avxovg. 

sjtxcc d* ccq, co67tSQ 7tQ06&sv ccsC6a[isv, sl6\v catfrot 
xal {covvov 7tvxLvi]6LV svl cpQs6lv s6xrjcoxsg, 
ovvsxsv ov ^cocov {lOQCpatg olxotg xs cpascvolg 

60 Ovdh {ISV OV %Q0LT]6L dLCCXQLXOL SL60Q0C0VXaL , 

aXti avxcogj8Cvr]6LV OLoyLS&a 6cpsag a6xQcov 
xvxlov6%-aL , xditSQ avxog dxsLQr)g alsv ayLvst 
ovQavog sv 6xQocpdXcyyL itsol %d-6va diav slC66cov. 
rj yaQ dr) xov {isv xs Boqt]lov a6xsQsg"AQXxov 

65 [i6i%ovog, r]v ElCxr]v skdxaL vr]cov 6v6{ir]vav, 
d[i(pL%aQd66ovxaL QoCt^cp 6XQCocpcoasvoL alsC, 
o r Cxs ol axQoxdtoL6L cpasCvovxac itsol tco66Cv ' 
dvxv% cf av xvxXolo {is6r]V d^d %siQa Bocoxov 
TspvsL vtc dyxcovog 6xacov, xscpaXrjg xs AQaxovxog 

70 axQoxdxiqg tyavsL , 6xsqvov tf vito Kr]cpiog 6l6lv 
xal xl6Lvr)g aXo%oLO TtaQal 7to6i Ka66L67t6Cr]g. 

XVXlog 8\ 06X6 XQ67X6L & 6 Q 6 o g 7tVQLka^7t60g 

coQr]v, 
a6X6QL 8lv6vovxl 7t6QLyQacp6xaL xax "OlvybTtov 



6 MANE6SIN02 AUOTEAEZMATIKSIN 

KaQxivov oydodtrjg [lOLQrjg sjtt 7ta\i(paivovtv ' 
75 xsltai ds t\jLr\ycov \is66ov 6lcc KaQxivov avtov , 
^av&tjv t av%svir\v %aitr\v yaqoitolo Asovtog , 
6%SLQav ts 7tQo6vr\v"0(pLog, fiQLaQov t *0(pLOV%ov 
c6\L0vg ,"0Qvt&6g ts ds r Qr\v tavv6L7ttSQvyoLo , 
xa\ 7to8ag f l7t7tsiovg, %SLQog t dyxcova (Soqslov 
80 *AvdQO\isdr\g, xaQTtov ts %SQog Xatr)v ds ts xvr\\ir\v 
TLsQ6sog , vatdtLOV ts Ttodog ftsvaQ *Hvlo%olo , 
xa\ ($QLaQG)v Jl8v\ioov dvo 6vv %slqsGOl xaQrjva. 

avtccQ i6r\\iSQLv6v tLg soj (pQa66aLt svl &v\ioj 
cc6tsQog sx \is6at0L0 %aQa66o\isvov Kqlolo , 
85 xsl&sv d' av 7taQa\iSL^6\isvov TavQOv jtodag dxQOvg, 
xa\ xakr)v £o5vr\v &r\QOXtovov 'SlQiavog , 
"TdQrjg tf bkxov a7tSLQs6lr\g , KQrjtrJQtx ts \is66ov, 
£%r\g d' axQotdtov 6toX\iov ipavovt SQatSLvrjg 
TlaQ&svov, iofiokov ts 6lsx %r\Xr\g TtsQoavta 
90 HxoQTtiov , iyvvag ts dLaxQivovt '0(pLOv%ov , 
xa\ %aitr\g dxQrjg S7tacpc6\isvov ohxsog r 'l7t7tov , 
\is66ov t d{i(potsQOL6Lv sv *I%%-v6l dtvsvovta. 

%si\i£Qiov ds tQ07trjg xvxXov &oov AiyoxsQr)og 
6xs7ttso nccQ \is66olo dtsxTtSQOoovt S7t\ yovva 
95 a\i(potSQ r TdQO%6o v , xa\ Krjtsog sivalioLO 
ovQr\v , r)ds Aaycoov dnb 6tsQvcov S7t\ \is66a 
vl66o\isvov , TtQootovg ts Ttodag Kvvog, r)ds xa\ 9 Aq- 

yovg 
TtovtOTtoQov ts\ivovta dt' at&SQog dxQa xoQvpfia, 
KsvtavQOv t S\iovg votiovg, xsvtQov t okoolo 
100 ZiXOQTtiov , r)ds ($lov 6tsQvoov \ista To%svtrJQog. 

tov d* aQa dr) vot lov, \istf ov ovxsti cpsyyog 

oQtxtat 
a6tQ(ov dv&QOJTtotg , oX dr) %d-6va tr\vds vs\iovtai, 
07tXfj6LV KsvtavQog VTto 6opstsQj\6L %aQa66si, 



BIBAION B. [A.\ 7 

Ttrfidltov ts v£og, tr)v dxQotdt?]6t t£LL0v6a 

105 Tlr\klov iv xoQvcpatg Halkag &it dv aGtgaCLv Aoyco. 
01 8e dvCJ, toC%£Q t£ TtoXcp dia7t£LQacvovtatj 
a6t£\icp£tg £6ta6L xal dxlLvisg TtSQL xo6llov, 
Ttdvtcov dstxr]lcov ais\ iTtacpcoLisvot blxov ' 
o g [i £ v ydg & vipov &oov ovQavov i6tr]Qtxtat 

110 r)tpr]v olliov xa\ 6sCsXov'HsHolo 

xqCvcov xa\ &vrjtot6Lv aycov (3aLr)v Xv6lv SQycov * 
og ds 7t£Qi6tQ£(p£taL TtvtLatov Ttovtov t£ xa\ alav 
cpalvoov dvtoXCag, 6v6Lag & vtio ^iv%-s6t xsv&cov, 
og Qa #' 'OqC^cov xvxXogvTt dv&QCOTtcov Ttscpdttatat, 

115 ovvsxa Ltr]xC6tr]v o66cov iTtttitivst OTtcoTtrjv. 
olxbg d' avts TaXa^Csco ^atf] lisv oQatat 
XactTtstocov [iolqt], tb di o£ TtXiov i6tlv d[iavQOv* 
yvQOvtat d vtyov llsv iitl Ttvotatg BoQiao 
iv d-Qovco i&Liivqg yovvcov d%Qt Ka66tS7tsCrjg , 

120 TtaQ xscpaXr)v Kr]<pr]og' 6 d' "OQVL&og TttSQa titivst 9 
Airytov t£ {ii6ov, xa\ To^cov dy%L xoQtovr^g 
dxQotatov vsvqov, &r]Qbg cpovCoLO t£ xivtQov, 
r)ds ©vtrjQtov axQov id' bnXdg KsvtavQoto 
ti66aQag ' ix d* aQa xst&sv dviQ%stat ix BoQiao 

125 dtyoQQog dtd Nrjbg aLiSLL3oLisvog xata TtQVLtvrjv, 
xa\ xvr]Ltag AtdvLLCov, xoQvcprjg & v7tsQ'SlQCcovog , 
Tcal yovatf Hvl6%ov , yovvog t STtt yoQyocpovoto 
d£%Lt£Qov nsQ6r]og , o dr) tita^ co6t£ %iovtog. 
Zcodtaxbg d\ o67t£Q t£ xat ovQavbv STtXsto 

Ttdvtcov 

130 svtQo%dXcov xvxXcov ttdX ayavotatog xal oQrjtog, 
dcods% V7t sidcoXoL6L x£xa6itivog sl6l oV al&Qrjg' 
aLitpi d' aQ avtbv xsttaL vit a6xQa6L TtattcpaCvovta 
Kqloq xal TavQog, ACSvllol d' i%\ tcpds, LLSt avtovg 
KaQxCvog r)ds Aicov, 6td%vdg t iv %sq6l cpiQ0v6a 



s 



MANEQSIN02 AIIOTEAEHMATIKSIN 



135 IlaQ&ivog dv&QCOTtcov yever)v 7to%iov6a TtaXaicov, 
Xr\Xat $ ', dg xal dr) iterecpr]yu6av aveosg Cool 
xal Zvyov ixXr]t66av , iTtelrerdvvvtf exdreo&ev 
olaC Tteo 7tXa6rtyyeg eiti ^vyov eXxopivoto, 
ExoQJtCog i6rl d' ertetra, $Cr\ % eitt To^evrrJQog, 

140 xal de xal AiyoxeQcog , ^e^ ov f TdQo%6og re xal 

'l%ftvg. — 
Olxotg ytev dr) itdvreg eoig TtaQeovreg aQtGrot 
dorsQeg iv yevi^Xrj , eitel i6&Xodorat pev aQeCco 
xal TtXiov i6&Xa dtdov6t, xaxol di re [teCova XvyQa. 
rcp {idXa %Qr) 6xi7tre6&% 07to6ot 6cpereQ0t6t d6[iot6tv 

145 r)e xal eiv oQCot6tv iotg fiefiacoreg oQcovrat' 

el pev yaQ TtXioveg, TtoXv cpiQreQOv, el di re TtavQot, 
[netoreQOv xvdog (Storcp xal TtQrj&v 07ta66av. 

*AXXa xa\ dXXr\Xcovo6 d[ietj56[ievot xXvrocpeyy elg 
olxotg ixreXiov6t, {idXa %Qetco xaraXi%at. 

150 QaCvcov piv re /itog t,cootg peyaxvdeag dvdQag 
T£t;^£t, xal fla6tXev6tv id' av& eraQ0t6tv avdxrcov 
ig cptXCr\v %evyvv6t , xal avrovg TtoXXdxt da6[icov 
TtQTjxroQag e\avicpr\vev iv7tQr\66ovrag ava%tv, 
%Qr\\iard r iv %eQ6iv dcoxev fia6tXr\ia vco{iav' 

155 TtoXXdxt 6*' aXXotQCcov rixvcov Ttari^ag xaXie6%at 
dcoxev , r\ ix%eytivotg naidag 6cperiQ0vg TtdXt dcoxev. 
ZevgdeKQOvoto roitotg TtaQecov (3Corov [iev OTtd^et 
evxtedvovg re rC%r\6tv, draQ TtoXvyrjftiog oA/3oi> 
cpetdcoXovg , {irjd' o66ov ecov xredvcov oQiyovrag, 

160 r\7tedav6v 6riQvot6t voov xal dvaXxiv e%ovrag 3 
d[i(pl e&ev TtoXv peiov r\ cov TtiXag coot cpQOvovvrag , 
iv d' eQyotg 7tQr%et %' eriQOtg V7t07te7trr\c6rag ' 
o66a di r ixreXiov6tv, aTtoxQVTtret xXiog e6%Xov 
TtoXXdxtg dXXorQCcov, \ ol xaC 6cpt6tv al6%e* edco- 

xav. 165 



BIBAION B. [A.] 9 

166 iv d' "AQSCog oqCol6lv rj iv %oool6l $s$r]xoog 
c&aCvcov voo%sXiag rs xal adQaviag {idXa Qit,st , 
dsilovg TtavtaQfislg rs, (pQsalv xara%S7trr]corag , 
av%iir]QOvg , sbv r)roQ dsl fiXditrovTag avCatg. 

170 aXX'"AQr]g olxol6l Kqovov jioXlolo (5s(5r}xodg 
7tav&aQ6slg tsv%sl xal 7tQrfes6L roX\ir)s vrag , 
TtQog d' stl &aQ6aXiovg rs xal svrbX^iovg xal arQs6rovg^ 
TtQrj^LV 7tavToir\v rs xal SQya rsXovvrag apo^&cog , 
ol6C t icpOQur}6G)6LV asl rix^iooQ iTtdyovrag' 

175 (p&sCQSL ds xlr\QOv TtarQootov, r)ds 6vvai\iovg 

7tQS6fivriQ0vg ndvrag xqvsqoo %bcpcp d\icpLxaXv7trSL. 
'AcpQoysvovg ds KQovog TtaQschv oixotg rdds 

TtOLSL' 

7tQS6(5vrsQaLg %svyvv6LV tds d[ioof)6LV axLdvatg, 

180 r) \vvr)v dr)cioL6L xvtiqlv \it6d-ov 7taQS%ov6aLg' 

179 TtQog d' stl dv6yaaCr]v xal dv6rsxvCrjv [idX' bita%SL^ 

181 6rsCQaLg r)d' <xtoxol6l 6vva7trcov dv6xXia XixrQa' 
drj&dxL xal %sCqs66lv salg aXb%ovg sdaL^av 
t,r\Xoo aXa6rr]6avTsg sti al6%s6Lv , olg rsXiov6tv. 
'AcpQoy svr)g ds Kqovolo dbpoLg Xs%ioov bXsri]Qag 

185 ccXXotqCcov sqqs%s, xal a67tiQ\iovg ftiro rixvoov, 
ov \idXa xr]Soaivovg [id%Xov svsxsv cpLXbrrjrog 
ovrs cpCXoov 6cpsriQcov y ovd' av TtariQCOv dXiyovrag' 
r\ yaQ dr) xsdvoov sraQcov ydpov al6%vvov6LV , 
r] xal {ir]TQVLf]6LV saig r] 7taXXaxCds66LV 
190 6opooLriQOv ysvsrrJQog b[ibv Xi%og sl6avi$r]6av. 

sv d' ccga %Qv6ocpaovg r EQ{iov £<6ol6l {rsfrr]xoog 
OaCvoov b^sCag [iSQOTtoov r\\L$Xvvsv dxovdg, 
r\ XaXLrjg t]\isq6s cpCXrjg xal yXoo66av sdr]6sv, 
dsLvovg d' sv 7tQa7tCds66t xal ovXoa [irjTLOoovrag 
195 XQVTtradCoog tsv%sl , 6cpirsQ0v vbov ovtlvl &vr\roov 
cpaCvovrag , daxsroov cpovLcorsQOv lov s%ovrag , 



1 MANE6SIN02 AI10TEAE2MATIKSIN 

xccl 8s xccl ccqq^tojv [iv6Tag tsXstodv, [iccxaQav ts 
OQyccc yLyvo)6xovTccg , 06 sv f3C/5AoLg s%ccQtt%d-r] 
%QV7tTalg, ccg ov 7tcx6L ($QOToig &E{iLg sv cpQS6lv 1'dpsv' 

200 TttVTY\g 6*' ovk ccv ovcclvto dar][io6vvr}g' tccSs yocQ6(pLV 
ccvt dya.%o)v xccl XvyQcc xal ccvtlcc yCvsTttL cclsC. 
TccvTcc ds xccl EtCI^oov qs£sl Kqovov sv [isyd- 

qolGlv ' 
dX)J ccqcc Tolg rjdog tcsIstccl 6(psTSQOv ccnb [ib^frmv' 
tsv%sl d' ov [tovvov pCpAoov smCOTOQag lqgov, 

205 7Cavvv%Cdc3v tsXstojv tf r)yrjT0Qccg^ ccXXcc xccl s6&Xovg 

llCCVTLCCg, tt6TQOv6[lOVg KCCL OVSLQOTtoXovg, TtQOTtaQOL&SV 

s&iisvovg &v6l<x>V) [iccxaQcov diro &s'c>(paTa &vr\Tolg 
cpccCvovTccg , 7tTrjvo3v ts TtOTrjg cctco ^s67tL%ovTttg^ 

%Qr%S(5L $' SV $LOTOV STSQOLg V7t07tS7tTrjG)Tttg. 

210 o66ocg d' ccv $ccsd'G}v'AQSGig oI'xol6l fisjyrjTcsv, 
TQL6^ittKttQsg 6tqcctlo3v r\yr]TOQsg , sv ts Pqotol6lv 
TLoyiSvoL TtoXCoov rjyrjTOQsg r\ j5a6LXrjsg. 
Sg d ' ccvToog xccl ©ovQog S7tr)v ^dcbg sg dopov sA&j], 

dcJQSLTCCL TCVdog Xttl CC7XSLQS6L0V XQttTOg dvdQCOV* 

215 tsv%sl xccl vrjoov r)d' L7t7tr)ov TtQvksov ts 

r)ys{iovccg ($cc6lXsv6lv aQrjQOTccg, o$ xccTa fioAov 
dvd-QCOTtovg xTsCvovTccg srj b%\ xccl (is{iccoTccg 
* * * * ev dsdaccaiv • 

Sl $' CCQCC [ir) XSVTQO TtslSTCCL fl^O*' EQ T060V sl'rj 
VlpOg, ttSLQOpSVOL TtttVTGJV 6CpSTSQOV VTtSQ CCVTOL 
220 TttTTOVTCCL, XY\V d[lG)Sg ttSLXsXcOL TEXS&06LV. 

iv d' ccqcc KvTtQoysvovg tooLg Zsvg olfiov 

07tttt,SL 

TtttVTolov , XTsdvov ts dopovg 7tC[i7tlr]6L [3qotol6lv, 
avTOvg d 1 av& httQovg r) xcci 6vvsdQ0vg fia6Lkr\ov 
&r}r]Tovg Xccol6l xccl sv itolCs66LV dyrjTOvg 
225 tsv%sl, xccl {iccxttQov LSQSlg 6r\xov ts TtQosdQovg^ 



BIBAION B. [A.] 11 

xL\ialg xv8aXi\iovg r]8 s^aCxoig ysQas66LV, 
nQrfeioq ix 7tcx6rjg avva^QOit^ovxag TtoXvv oXfiov, 
8r]\iov & rjyrjxrJQag, oX sv %sCXs66lv sol6lv 
cpftiyyovx slv lsqol6lv dxovo\isvoL vitb Xacov , 
230 t,svyvv\iivovgx dv^Qcov \isydXcov cpcXoxrjXL yvvacxcov, 
cov dxo xvSrjsvxsg C8' 6X[$lol s^syivovxo. 
xal Kv&iQTjzlLog olxco 7} slv 6qCol6l <pavsl6a 
svxXiag sv %oXCs66l xal sv 8t]\iol6l xCd"q6LV ' 

X06\ISL XO.I \lCxQJ]6L 7ti%X0L6C XS 7t0QCpVQi0L6LV, 

235 6xi\c\ia6C xs %ov6ov, xovg 8* av ysQas66 3 SQaxot6Lv' 
rjds yd\iovg dcoxsv cpcXCovg, xal XixxQa yvvacxcov 
cojta6sv svd"aXd\icov , XixxQocg di xs icoxs yvvacxcov 
SVoXficOV SV ifJ6LV s\isv 7toUs66Lv aQL6X0Lg , 
xxr]\iaxd ■&' s%ov6lv xXslvov ($loxov xs xal ofxovg ' 

240 7tQ06cpLliag 8' sq8sl xal XL\irjsvxag dita6LV , 
TtSL&OL xal %aQLXs66LxsxL\iivov rjxoQ s%ovxag' 
Tjs xal dvdQag sxsv%s yvvaLXsioL6LV S7t SQyoig , 
i% cov %Qr]\iaxa TtoXXa xal svcpQ06vvr\v %6qsv s6^Xr\v' 
drjxrdxL $' avtf V7toxa66SL V7t a6%oXir]6L xvQavvcov 

245 rj \1syaXc0v avdQcov, ol6l XQaxog l6ov dva%LV. 

Zsvg d' aQ y sv f EQ\isCao xonotg TtoXvoXfiov 

sfrrjxsv, 
svxXi' S7tL<pQ06vvr]g svsxsv, pa6tXr]L0v oXjiov 
vco\icovx sv %sCqs66l, xal sx TtoXicov sftvicov xs 
%QY]\xaxa xal 8a6\iovg 6vvaysLQo\isvov J3a6LXsv6Lv, 

250 sv 8 SQycov 7tQr%sc \iiy' V7tSLQO%ov, sv 8' aQa xol6lv 
xsxX'o\isvov, \iiya d' avxs voco cpQoviovxa, xal i6&Xr)v 
xxy]6lv aTt a6%oXCr]g ^loxov cpoQiovxa TtQog olxovg. 
sfiTtaXL d' f EQ\isCr]g 86\ico svcpsyyovg (Dai&ovxog 
7taL8sCr t g 7tQaitC8s66L 6ocpr]g 7taL8sv\iax s%ovxag , 

255 7taC8cov & rjyrjxrJQag rj avxcov d-rjxsv avdxxcov , 
r] 8CcpQ<p st,o\iivovg, o&l x aQyvQov S6xlv a\iOL^r], 



12 MANEQSIN02 AIIOTEAEZMATIK&N 

r)s voficov &s6{icov % s7tLC6xoQag , cbv svsx alsl 
jtSL&a opcog xvdog xs xaxd Ttxoliag psy' s%ov6lv, 
Qr]xi]Qag yiv&cov xs xal slv dyoQ]]6Lv aoi6xovg 

260 vsCxsd x l&vvslv xal xslqo[isvol6lv aQr)ysLV, 
sv xs dLxa67toJ.Lf]6Lv sQLd^aCvovxag sits66tv , 
cov dito itXovxov ditSLQS6L0V xal %Qr)[iax' dysLQav ' 
aXXoL d' avxs TtsXovxat aitayysXssg ^a6tXr]cov , 
71C6XLV x aficpl dCxr]6L \ts\i,L6xo7t6Xcov d% dvdxxcov 

265 1'6%ov6lv , xsCvoLg 6cpsxsQco voa l&vvovxsg. 

sv d' aQa xol Ha cp Cr]g"AQr]g olxol6l fisfir]xcbg 
uXXoxqCcov Xs%scov XQVTtxovg XvpdvxoQag sqSsl , 
dcoQOLg r)ds*doXoL6LV OTttTtsvovxag sxaCQcov 
svvsxtdag Ttrjcov xs, xal al'6%sa \iaxQa xsXovvxag ' 

271 dXX' aQa xaxsCvcov $LOXotg oXixfQovg S7tdyov6tv , 
7] xal sdg xsdvag aXo%ovg oXsxov6l %sqs66lv, 

270 dv6ya{ia vvpcpsvovxsg dd aXXoxQLCOV vpsvaCcov. 

273 £cooLg d' avIJvQosvxog S7ts^Pspavta Kv&rJQrj 
dv6ya{iCr]v xsv%sl xs xal sx Xs%scov [idX' dvCag ' 

275 r] yaQ dyovx aXo%ovg, cbv aQyvQOv covov sdcoxav, 
dpcoCdag , aCx avxovg \id%XoLg SQyoL6iv S7tst6av , 
r)s 7toXv^ivr]6xr]6L 6wsvvco6lv cpLXoxr]xag 
aisl xXsTtxopsvatg , cov slvsxa dr]QL0co6LV' 
ov yaQ xal x(ov6' ovd' av cpLXsov6L 6vvsvvovg' 

280 xco dr) xal XQC6Lag xal vsCxsa TtoXXaxtg s6%ov 
6vv 6cpsxsQatg dXo%OL6L , xal aXXrjXovg d&SQL^av 
* * * xal avxcov stvsxa b*r]%d 

sv 6vvo%f]6L ysvovxo xal ditXrrzoLg d%is66tv, 
r)ds yvvaLXsirjg xscpaXr)g %aQLv SLQy^iov svSLxav ' 
rjv ds yvvatxbg srj ysvs&Xrj , \iaX' dyr)voQa xsv%si 

285 xal yavQOV, $ovXy]6lv salg 7tC6vvov xal dxa^itxov , 
290 xdg x aXXag avdQs66tv l'6ag xd\ivov6av dvCag ' 

286 7tdy%v d' aQ sg cpLXoxr]xa dvqv, xoxsxcov S7to%r\v xs 



BIBAIOJS B. [A.] 13 

6rXr\6et, xal drjfra XvyQrj Tteol ya6rol \ioyr\6et, 
rjroc tiqXv yovC\ir\g coQr\g fiQecpe oo\ioroxov6a, 
r)e vexQoov iv yaaxol \ieXr\ re\ivov6 aito rexvoov. 

291 val \ir)v xal IlvQoeig olxoLg &oov Eq \idoovog 
ovXoa \ir\do\ievovg 6reQvcov evro6&ev e&r\xev, 
dyQid r ev TCQaiiiCiv $ovXev\iara TtotxCXXovrag, 
itQog de xaxocpQo6vvr\6tv del \ieQ07te66L 6vv6vrag , 

295 obg dr) xaC r dXXotg V7tocpr\roQag e\i\iev dvtcov ' 
xal de 8txoQQacpCr\g dedar\xoreg elv ayoQrfiiv 
xal XQi6iag ftayuvdg xal veCxea Ttvxva exovreg 
1'6%ov6lv, cpr\\ir\ de xaxr\ 7teQi8edQO\iev avrovg 
xaC re dtxoov \ieya TtXrj&og, o drj \idX d%Qr\\iovag 

eQdet ' 

300 TtoXXol xal Ttaldoov roovd' r)yr\rr\Qeg ea6iv' 

itQog d' en xal 4>£v6rag, d&eovg, d&e\iC6ua eQya 
\ir\do\ievovg , xXcbitag, Xr\C6roQag , dvdQOCpovrjag, 
oqxcov ovd' o66ov rt vooo XQveQco dXeyovrag. 
ravra de xal 2Jr CXfioov"A Qeoog ev doo\ia6iv eQdec , 

305 7tXa6royQacpovg rev%cov , Xv\idvroQag, r\7teQ07tevrdg, 
dXXorQCov TtXovroio XcXaLO\ievovg xredvcov re ' 
TtoXXdxc xal xredvcov 7tC6recg, cbv7teQ rtg edcoxev 
Xd&Qrj 7taQ%-e\ievog , xaxo\ir\rCr\ r\Qvr\6avro , 

7t0XX(XHL ***** 

%Qr)\Lara 7tavQa 6l6ov6lv , d TtoXXoov %Qelog erv%$r\ ' 
310 TtQog cf ert cpaQ\iaxCr\g oXorjg e7tcC6roQag eQdet ' 
obv evexev Ttdvroov xal v% l6ql6lv lcpi n,d%e6&ai 
Xd6d-aig xeQropCaig re xara TtroXtag 6ojoeovrai. 

ev d' 'Eq \i o v £oool6l cpLXo\i\ieLdr)g *A cp q o d C r r\ 
ftrjxe 7tQo'C6ra\ievovg \ieydXcov /3toz olo yvvaLXoov, 
315 xeCvcov d' elvexa dr\&d xQC6ecg xal veCxe e%ovrag, 
olg eiti xvdog e&r\xev Cd' evxXea TtoXXdxi vCxr\v' 
oi de fterjg CeQolo TtQOcprjroQeg evxredvoco 



14 



MANEQ&NOZ AIIOTEAEZMATIKSIN 



yivovxai , TLLias td a% ccvtov tiXovtov e%ovtss 

ZEV%£L 8^ 6V TOVTOL0L T07C0LS Kakr) Kv&EQELCi 

320 aiok 9 VTto XQOLjj 7COLKikiiaTa daLdakKovTas 

TtaVTOLOLS ^cSolGLV EOLXOTa , tovs [isv ECp L0TCOV 

keqxlGlv rjds %sqcov TS%vrj{ia6Lv dticpi te TcinkoLS, 

324 tovs ds Kal sv yQacpioLS LiskLrjdios dvdsCL xrjQOV 
323 dsLKvvvTas ndvTcov iiOQCpas &r]Qcov te Kal dvdQCov, 

325 dkkovs d' sv jcstccXols CTEcpavcoiiaTa TCOLKikkovTas , 
ovs ds Kal avftofidcpovs akicov d%o %-qKaTo KO%kcov , 
Evodiicov ts livqcov tsv^ev TS%VTjTOQas avdQas. 
'Eqiitjs d 9 avT oIkolCl cpavsls Kakrjs Kv&EQsirjs 
TCQoCcpLXsas ftrJKEv Ka\ TLOLiivovs cidka tcccGlv, 

330 LioQcpfi •& [[iSQOSVTas id' alcivka KcoTikkovTas , 
%avToir\s LiovCrjs t ETCiiCTOQas' r) yaQ doLOovs 
EVKksas , r\ KL%aQr\s V7Cocpr\TOQas s%STsks(5(5sv , 
r)s [iskcov {lokTcrjs evqvQ-liov tevktoq^s avdQas, 
rjETCokvTQrjTOLS kcyicos \LEkicovTas sv avkols' 

335 dkkovs oQ%r\^LLOV (5rjTaQLLOvas tdQiag eqSel' 
TtaLdsvTas d 9 dkkcov Toicov EQycov dvicprjvEV, 
i% cov okflov svKTEavov Kvdos T SVL SrjLLOLS 
aQWVTaL , %aQiTS06L xsxaCLiivoL svsTcir] ts ' 

%Qr%E6L 6' SV fiLOTOV TCaVTSS {laXaQLGTOL saGLV, 
340 old T ETCL^VVCOC EQyOLS , TCaVT SXTSkiovCLV 

TfilV E7CLCpQ06VVr]6LV a\LO%$cos ? d>S * s&skcotiLV. ■ 
sv ds Aeovtl, d ollco TtavdsQxios Hs kioLO 
cfr aivcov llsv {isydkovs ts Kal sx TtaTSQav aQLdrjkcov 
tsv%el , xai t okfico JIlotov d[ia Kvdog oTtdllEL , 
345 akka xaxco &avaTco okicst ndvTCog ysvsTrJQa , 
r) (Mj] r\ cp&OQLLicov vyQcov %krfiscd %akiipas. 
dsLK7]kco d' iv Tads 4l6s Tcokvcpsyyios aCTrjQ 

COCT olKCO OcpStiQCO %aiQEL, ETCEi SCTL TQLyCOVOV 

avTov, cos xal tcq6(5&sv asi6aiisv, 9 Hskiov T£, 



BIBAION B. [A.] 15 

350 xal peydkovg fla6tkr\ag r\ t'6ovg xotQaviov6tv , 
r\ Ttov tcov etaQOvg tev%et, kaot6tv dyr\tovg' 
ndvtag d' acpvetovg xal tt\ir\evtag ed-r\xev. 

avtaQ U AQr\g e%\ tcpde TtatQcota jtdvt exida66ev, 
xal 6ivog ocpftakpcov dcoxev, ficotov d' aaa norfeiv 
355 %okkr\v d[i<pl TtvQog Ttoktov t dito dcoxe 6tdr\Qov, 
totg d' ^Qyotg 6xkr\Qag xat dnrjviag cona6e ti%vag ' 
alel d' ev te Aiovtt xal iv Mr\vr\g do\ico ocp&elg 
coxv\iOQOvg tev%et , tovg d' r\(it^iovg evaQi&t. 
'AcpQoyevr)g de Aiovtt $e$r\xvt ov \idka %aiQet' 
360 dv6ya\iir\v tev%et, jrors 6' avt dko%OiO dteiQyet. 

dkk' EQprjg itivvtovgte xalev \ivd-ot6t cpeQi6tovg 
eQdet, xal ptotco TtQOcpavetgxal dyaxkiag dvdQag. — 

ev d' olxcp Mr\vr\g &aivcov [trjtQog fiiov alel 
cp&eiQet 'Hekioto (iokdg xal cpeyyog oQco6r\g , 
365 avtovg d' iv vov6otg dokt%atg dtatg t edd\ia66ev, 
r\e \iekay%okir\6t xal akye6t XQV7tTO\iivoi6tv , 
d%Qt xev t£r\vtat \iaxaQcov teQolg TtaQa fico\iotg. 

yrj&et d' avQa i& co v iv KaQxivco, ovvexev avtov 
vipovtat , nkeovcov te yovr)v tixvcov [idk' OTtd&t , 
370 xal fiiov iv \ieyaQ0i6t xal evxkia cpi\\itv aitdvtrj 
dcoxev, xal cptkir\v \ieydkcov xal xi^dea vco\iav. 
"AQr\g d' iv Mrjvrjg otxotg \ieyaftaQ6iag eQdet 
xal [idk dyr\voQir\6t TteTtot&otag , ovx dkiyovtag 
ovrf tt xtvdvvcov td' 6\ioxkrjg, ovte cpofioio' 
375 tco xal 6cpdkkovtat ^ayava 6cpetiQ0t6tv eit eQyotg' 
dkkot d' av ti%vr\g i7tti6tOQeg e\eyivovto ' 
Ttdvteg d dkyetvot6t 7teQt%taiov6t 6ive66tv, 
tcov Ttkeovcov de fiirj %dvatog xal \iotQa tekeltat. 
ovde pev ovde KvTtQt g yrj&et Mr\vr\g ivl otxcp ' 
380 \ia%kovg yaQ tev%et xal teQ7to\iivovg cpikoxrjtt, 

akka t iit dkkoiotg xaxd t al'6%ea Ttokkd tekovvtag' 



16 MANEOSINOH AU0TEAE2MATIKSIN 



OEL. 

f 



xal d' hegoig TQ07tLXoig ^cooLg 7tdvTe66t Tccd' sgd 

%Qv6ocpar)g $' EQ\ir\g iv KaQxivoo aid-Q07toXevcov 
6%eig iv 7tQCC7tid£66c, vor\\iovag , dXXore d' dXXr\ 

385 (lovkfl T£Q7tO\l£VOVg \17\T E\JL7t£§U \ir\TLO00VTag 

qeXel , xal yLV&oig aya&ovg EQyoig te <p£QL6Tovg. — 

'HdXLog d' avrog \ihv vtzeq %aQ07toio AiovTog 
evxXiag iv (5l6tg) xal vitELQoyov ev%og e%ovTag 
qe%£l' nivTQov d* avze tv%gov (5a6LXr\ag hev%ev, 
390 r\v i6&Xoov xo6\ir\TaL V7t cc6tqgov \iaQTVQir\6tv. 

oog d' avTcog xal Mr\vr\ eov do\iov d\icpL(5e(5oo6 
7tQr]%Lag av&QooTtOLg aya&ag xal fc£<5os OTtd^et ' 
r\v 6e \i s6ovQavirj vvxrog , (5a6LXr\ag e&r\xev. 

ol d' ccq a\ieL($6\ievoL £»' aXXr\Xoov xaTcc xvxXov , 
395 ^oooLg d' i\i(ie($acoTeg i% dXXrjXcov xara xvxXov, 
Mr\vr\ \iev Tltccv, Mr\vr\ de yiyr\&e AiovTt. 

Tola \iev aXXr\Xcov olxo tg OQLOLg te TtaQovrsg 

T£V%0V6 > aXXa T£ TtoXXa TtoXvTXrjTOLg \l£Q07tE66LV. 

Avtccq ccXrjd^ELrjv 7ta6av ^qotJov (Ilotolo 
400 6vyxQa6Lg diexQiv, i%L \iaQTV Qiat te cpaeLVOo 
cc6tqoov ccXXrjXoLg %ooQOLg -§•', VTteQ obv yeyda6Lv' 
o66a #' d\i 'HeXicp 8qoo6lv TtaQeovTeg, dei6co. 

TtdvTEg \iev %aiQ0v6LV iii ccvtoXli]6lv iovTeg , 
cog iv eol6lv f ixa6Tog dyaXXo\ievog (3a6LXsLOLg, 
405 xaC Qa % i% dvToXir\g \iev iovTeg cct ig veoTr\Ta, 
&vr\Toig Ttdvra teXovOlv dyav XQarsQol TtaQEOvzsg ' 
£67teQL0L6L de fiaQdvTeQOL 7tQ0La6l %qovol6lv 
deieXo l avyf\6Lv 6cpaXeQaig v7to7te7tTr\ooTeg , 
adQavieg Te TtiXovTat ibv 6&ivog d\i(5XvvovTeg. 
410 Qaivcov \iev dr) 7tQ00Ta 6vv 'He Xicp zcnra TtdvTOOv 
^ooLdioov TtXrj&eL %vvcov aya&oov re xaxoov re , 
XQei66oov \iiv Te xaT r)\iaQ icov, pXaTtToov d' ivl 

VVXTi' 



BIBAION B. [A.] 17 

t£v%6L yaQ TtccteQccg aev dyccxXeLtovg xccl eTtoXfiovg, 
urjteQa 6' coxvuoqov ftavdrcQ 8l6xqlv6 toxrjog, 
415 avtcov 8e xzy]6lv ULvv&eL oixov te TtatQcpov, 

dXX* ov% cog 7tevL%Qovg TtduTtav xccl d%Qr]ixovag elvat. 

xccl tf>ae% cov aetd TLtijvog itatQCOLa Ttdvtcc 
cp&6LQ€L, TtavtoCatg te fiXdficcLg dtaLg t 67te8r]66V 

419 TtoXXdxt xal ^eCvrjg yaCrjg eitt 7ti]uat eScoxev, 
422 rjcpog uev aeCov\ e<p' e67te qCt]6l 8e 8eivd. 

'AQrjg 8' 'HeXCco cvvlcqv TtatQaGtv aev avCag, 
yeLvoaevOLg 6*' avtotg d-OQvfiov xal Ttrjaaz edcoxev' 

420 zovg 8' aQa xal 7tdzQYjg yXvxeQrjg ftrjxev [letavdatag' 
4*25 r) uccttr] yeve&Xr] d' oXocotcctog 'eitXeto Ttdvtcov, 

421 r]66cov 8' 667teQLog yeyacog d8Qave6t6Qcc Q6&L. 
426 'Acp Qoyevr)g 8e 6vvov6 'TTteQLOVL y6LvouevoL6LV 

8v6yccuCr]v 7taQ6'/ v 6L xal 8v6xXeLttV TieQL XextQa ' 
rjtOL yaQ 7t6VL%Qtttg r} 8ovXa.Lg r] xal dvdyvoLg, 

7] Xttl 7tQ66pVZ6Qrj6L 6VV6^6V^6V {IttX' tt6LXCOg , 

430 t\ 6zl xccl 7ttvttQ0t6LV ecpe^oaevtttg 6zeyee66Lv. 

EQfirjg 8' 'HeXCcp %vvr)v ficcCvcov xccz dzaQTtbv 
rju6Q66v 6o(pCr\g xal TtaLdeCrjg \idXa 7td6r\g' 
e^oaevovg d' aitccoas flCovg * * * 

* * adXa. 8' r)cpr]6 lv dva66cov 434 

434 dv6Qccg dcpveLOvg \ 7toCr]6e TtoXet Ttccvay qzovg 433 

* * * * . * * 

435 TtQrfeCvtf r]66ova 8cox, ev TtQrfeet t eu{iev V7t dXXoLg. 

To66a uev He X Ccp aovvcp | v vfj TtaQeovteg 
Q6%ov6 \ l6a 8 e tol6L xccl dvtCov^HeXCoLO 
cpttLvoaevoL. Mrjvrj 8' d 6vv ccvtot6LV 7tccQeov6a 
Q6%6l ev 8l66\]6lv aTtoQQoCatg 6vvacpatg te 
440 ftvYjtotg iv uoyeQcp fitotcp, xal vvv eveTtOLUi. 

a6t6QL uev <l>tt Cvovtog 67t6Q%ouevi] 6vvcccpf]6LV } 
avyatg av^oaevr] xQeC66cov, 7t6QL urjzeQtt 8 aCvovg 

MANETHO. 2 



18 MANE&SIN02 AUOTEAEZMATIKSIN 

^v%\iovg rjds vo6ovg 7tccQi%£L, 6Cv£6Cv t£ 7tQ06tt7tT£L, 
ccmovg d' ttTtQoxoTtovg xccl d£L[iaXiovg 7t£Qt itQrfeiv 
445 £v6iviag t£ tC&t]6lv. ttTtOQQ £Cov 6 cc dh tovtov, 
r]v [i£v Zt]vl 6vva7tTfi 7} ttpQ0x6\icp Kv&£Q£ltj, 
£6&Xr) xccl do3T£LQa (tiov tiXovtolo T£ Ttollov, 

TtVQOCpOQCOV d' ttyQC0VXT7]6LV XQCCT£QCOV T£ \L£ltt&QCOV 

dcox£v, xccl xvdog (pr]\ir]v t aya%r\v TtccQtt drj[iOLg, 
450 xocl cpLlCr]v dvdQCov, 7]67t£Q %qt]cIov6lv , StccCqcov' 
r]v d' Eq [ifj, TtLWTOvg T£ xccl £vcpQovccg i\£Tik£66£v. 
ijv ds Kqovov 7tQolL7tov6a xevov 6q6{iov 

£\avvr\6Lv , 

r\ XttVAQr] \JL£T£7l£LTa 6VVtt7tT7] ^ 7tdy%V XttxC6T7]' 

av%iirjQovg t£v%£l yaQ dvccyxaCov (Slotolo, 

455 OLT £QyOLg K£V£Olg Xa[iaT0L6L T£ (JLOft&CZoVTSQ 

0V7t0T£ fo{irjQr)v 7t£vCr]v idvvavd 1 ' V7taAv$at 9 
TtQog d 9 £TL xal ^corjg t£X[icqq kvyQov i^ccvvovTccg , 
TtoXldxt d' CQXV{ioQovg ts xccl iv v£OTr\TL d-avovTag ' 
ol ds xccl £VTQO%dloLg dsiQrjv 6cpCyyov6L {}q6%ol6lv. 
460 r\v d' ccTto [ilv Kv&iQqg r) xal Zrjvog 7toAvcp£y- 

yovg 
7] xccl cccp EQiidcovogttTtOQQifl, £(i7tccAi d' «fjijs 
r\ Kqovco r} Uvqo£vt l GvvditTri, d£Lvr) ivv%d"ri' 

OLXCOV yttQ Cp&£CQ£L XT7]6LV $LOTCO 7tQ0'C0V6LV , 

xccl %ttX£7tr\v jtevCriv yr]QCog i%\ IvyQov bitdXsi. 

465 CpttvXr] Xttl X£Q0£66tt 6VVtt7tT0V6' "AQ£'C Mr\vr] ' 
xXt]qOV yttQ T£ d6[lCOV TtttTQCOLOV it,tt7t6X£66£V 
Xttl {ir]TQCQOV 0[lOV, 7tOT£ 6* CCV Xttl [l7]TiQttg CCVTttg' 

y£LVO[iivovg d ccvxovg (leyaArjyoQtrjtii, %ccvovTccg 
qb&i 7tttVToX\x,ovg T£ &Qcc6£Lg t', iit\ tol6l fiLccCovg, 
470 a6T£iicp£lg^ cQ[iovg xccl ttmqvicc £Qycc T£lovvrccg, 

TOVVSXtt Xttl TtTttCoVTCCg iv £Qy[ltt6LV, 07t7t66 sXCQVTttL' 
Xttl 6h 6i6LV %Vr]T0l6L TtOQeV XeCvCQ 6VVL0V6tt. 



BIBAION B. [A.] 19 

i6a ds xal 6vvLov6r\ aTtoQQsCov^" anoQovQOv. 
sC ds t aTtOQQS Cr\ psv ait "AQsog, slxa 6vvd- 

jtrrj 
475 xvdC6T(p KQOvCdrj, 7toXvoXpovg rrj{iog stsv^sv 
xal \LaKaQi6zoTaxovg , TtQrfesLg v dyaxrdg TsXsovrag. 
TavTa ds xal KvfrsQr\ 6vva(pr\v tsv%ov6* ait 

"AQr\og 
qs%sl % TtQog d' EQprjv, ^ovXatg \ivd-0L6C t aQC6Tovg, 
aCsv VTtSQ &vr\TOvg Tcvxcvalg 7tQa7tCds66v voovvTag. 
480 Tola ds xal d id[isTQog asl tcsvt a6TQa6i tsv%sl. 
'HsXCa d' ol'<p 6vvacpr\v r sv%ov6a EsXr\vr\ 
sxtcto6Cv ts tC&y\6l /3tW, xal xr\ds' 07tdt,SL. 

r\v d' a7Co%at,o\isvr\ Ttc SQCovog sfoa 6vva7tTr\ 
s6 ftkodoTaLg, aya&r) xal V7tsCQO%a SQya cpsQ0V6a 
485 [isC^ova xai % aQLdr\l > dydxt dv&Q(D7tOLg avs(pr\vsv. 
alsl 6' sv ysvsd-Xr\6L xs vod qo \isov6a UsXr\vr\ 
7tXat,o\iivovg pLOTOvg xal aXr\v %sCvr\g stcl yaCrjg 
qs%sl , kLTOTSQOvg ts $C(p xal TCoXXd [loysvvTag. 
%Qr) S' aCsLysvi%-Xr\g7CQOTSQOvvsocpsyysaMr\vr\v 
490 xal d' stl 7tXr\Q06 iXr\v ov svl 7tQa7tCds66LV oQa- 

07t7tr\ ra6ds dva (pa6cag 7taQSov6a tsXs66sv , 

r\ xal 6 vvtq o%do v6% stcsI s6&XodoTaLg [isv 

aQC6Tr\ 
7tQ(OTag dxTivag ^vvov\iivr\ r\i ts nXrjQScg , 
6vv %aXs7tol6 l d' iov6a 7CavscxiXLOV ycivog l6%sl 
495 xsCvol6lv , XvyQOv ts f$Cov 7cXr\QCo6s ysvi&Xr\v. 

s\o%a d' av xaxa TtdvTOT stcl $vr\ToZ6i xvXCvSsl 
iv cpa6s6Lv 7Ca6r\6LV , sv alg II v qosvt l 6vvdipr\ ' 
xr\v stcI 6 vvd s6ixov fiaCvr\ , \iavCr\6L 7tQ06a7tTSL , 
***** * 

r\ 67ta6\x,ovg vov6ov & lsqt\v xa\ dvaXftiag d\ag. 

2* 



20 MANESSIJSOZ AII0TEAE2MATIKSIN 

500 dvza 6*' ccq 'HsXCov %aLQSL ZQO%dov6a ZsXr]vr], 
%Xr]QSL sitsl nvxXcp zoz dydXXszat avyd%ov6a, 
zaCzs xXsovg oXfiov zs 7taQaizCr\ s6z\ ^qozol6lv. 



BIBAION T. [B.] 

'Ev xcq y fiifilla cprplv • 

A. % Tl ccTtozslEL %%a6xog xcov iitxa TtXaviqxcov cqqovo(icov ev 

lSlCQ OLY.CQ KCcl £V TtUVXL XCQV aXXcQV XQLCOV %EVXQCQV 
(JLOVOg £VQL6%6(l£VOg EV IdlCp (IEVXOL OLY.CQ. 

B. Tl aitOXElEL, 7]VL%a EVOC COQOVO(lOVVXOg EXEQOg Eltl xov 
6vXL%OV %£VXQOV (lOVOg &ECQQOLXO , YML XO XCQV Civd-QCQ- 

ncov ditox£lE6Lia ditaQccllciYxcog evql6%6(ievov , %dv etcl 
xov (i£6ovQavr](iaxog %al avxL(i£6ovQavr](iaxog evqe&cq- 
6lv, iavxovg ava(i£XQOvvx£g ug (ihv dvco, £lg 8h xdxco cov. 

r. Ti ditoxElovGLV ol 6v(i(iaQxVQ0vvx£g dlliqloLg^ 7] %a\ 
6va%7j(iaxL^6(i£V0L , t} %al litL^lkitovxEg iavxovg. 

A. Ti ditoxElELxaL HXiov %al JE£X7]vr]g iavxolg 6v6%r](ia- 

Xl£0(1£VC0V t XOV (JL£V £V aQ6£VL%0Lg 7tQ06Cp0QC0g Xfj OL%£L0> 
CpV6£L, XTJg 6s £V ^COOLg &Y]Xe6LV £VQL6%0(.l£V7]g , 7] XO 

avdnaXLV^ 7) %al d(icpox£Qcov iv aQQ£6Lv, 7] %al d(icpo- 
xeqcqv kv \Tt\Xe6lv , %al XL (JLEV irtl dvdQOg , xl dh Eltl 
yvvaL%bg xavxa anoxElEL. 
E. IIeqI iqovcqv £corjg, %al Ttcog (ihv xovxovg icpodsvxEOV 
6l 7](iEQag , Ttcog Sh vv%xog * %al tcoxe (ihv drto xcovSe^ 

7C0XE Sh dcp ixEQCQV XOVXOVg 7taQaX7]7tX£0V. 






066a [isv a XXrjXcov oHzoLg zsXsov6l j$qczoi6lv 
a6zsQsg, HsX Ccp zs 7cvql7cXt]$ovzl 6vvovzsg , 
O7t7to6a Tcal xsoccrjg 6vvacpcug zsv%ov6l UsXrjvrjg, ' 
sv TtQOZ SQatg 6sXCds66L [idX dzQSTcscog xaxsXs^a. 
5 vvv d S7tL(iaozvQCag avzcov xal 6%r](iaza itdvza, 



BIBAION F. [B.] 21 

d X X r\ X co v & o6a 8qco6lv v% dxTiv e66 lv iovTeg, 

xal xevr Qoig tc L6vQe66 lv iiceu$e$o.coTeg, deC6co. 

IlQCJTa uev ovv <DaCvcov vtcIq co qovo^lolo /te- 

fir\xcog 
r\TOL TCQCOTOToxovg xal TCQCOTOTQocpovg avicpr\vev , 

10 r\ xal ddeXcpeLOvg TCQOTeQovg dLoXe66ev oucavxag, 
xixvcov d' avT 6XeTr\Q TciXeTac, ftioTov Te %aXiic%ei 
dlloTQLOLg oI'xol6lv icov' ei)T dv d' iv eol6Lv 
coQovourj, lcooLg d' IdCoLg enLteQTceTaL aieC, 
AiyoxeQco Te xal f TdQO%6co f$Xo6vQcp Te AiovTi 

15 xal Xrjlcdg Kqlco t£, tot dveQeg i%eyivovTO 
mj8l6tol, yevef\ Te yeyr\&oTeg, evxXh tcXovtco 
xcualg xal yeQae66Lv dyaXX6{ievoL fia6LXr\cov. 
i}jv%q6v d' ig XC(5avL66ouevog dvvov TCeol xivTQOv 
liaxQofiCovg , yrjQac XcTcaQco fraXi&ovTag e&r\xev, 

20 evxTedvov g , u6%$ol6lv iaLvouivovg 6cpeTeQ0L6Lv. 
ei de ue6ov QavioL, icaTQcoLa ndvT ixida66ev, 
dr\ftdxL d ovd o66ov xXr\Qov TCaQa jcaTQog evecuev , 
TCQrfeecg d' dicQoxoTCov g xal vco%eXiag udXa %ev%ec , 
eQya de xal xeyyag %^lqcov e%alvvTaL dvdQcov 

25 \pv%cov -O 1 ', rjvTLva tcqy^lv evl 6TeQvoc6LV eXcovTaL, 
8v6TexvLrjV $' coica66e , xa6cyvr\Tcov x djcdueQ6ev. 
OQcpavLYjv d' vjtoye Log icov d%6 icatQog hev^ev 
TtduTCav vr\TCLa%OLg, xXtjqov t eQQaL6ev aC6Tcog, 
ov &vr\6xcov eXLTCev yeveTr\g, avrol d' v%6 vov6ov 

30 xduvov6, ev Te XQvec icvQeTco t al&covL uoyev6LV, 
iv d dyoQfi XQi6Lag xal veCxea dr\Qov 6%a66ev. 

Zevgd' coQr\v icpi%cov iQLXvdiag dvdQag e$r\xev 
iv dr\uoLg, %aTQr\6C t ivl 6cpeTiQr\6LV dyrrrovg , 
%Qog cV ixi xal TCQrfeeL ueyaXav%iag , iv (Slotco Te 

35 acpveLOvg , (5a6LXev6L cpCXovg pdXa TL\xr\evTag. 



22 MANE0&NO2 AIIOTEAEEMATIKSIN 

tuvxu di % ixxsXi6sL \ii6ov ovquvov d \icpt%o- 

Xsvcov' 

K06\ISL Xul \lLXQf]6L %i%X0L6i XS %OQCpVQioL6LV , 

tSQ%coXr)g tsv%cov lucov r)yr]tOQug uvdQug. 
dvvcov 6*' svntsdvovg^ okobg ds tinvoi6iv itv%%r\ 
40 ftuTttu yu.Q xsdvdg t ulo%ovg Ttuldug x ulsysLVOvg 
iv tQOTttuoig d' sl'co&s xsXslv xul %d\i%uv uxixvovg 
xrjds6tcov @loxov, xui t i6&Xu %ukol6lv s\jll%sv' 
%trj6iv \isv yctQ sdcoxs, tixvcov d' s%l 7nq8s6v Xv%sl. 

dSLVOgd' UVt L\iS6 0VQUvicOV%iXst UV&Qc6%OL6LV' 

45 Ttcivtcov yuQ ts @Qotovg idicov Ktsdvcov u%u\isq6sv , 
svoXfiovg ds %uQog xsvsovg ofxovg u%icpr\vsv ' 
s%o%u 6' si' ys 6vv'HsXCcp tods xivtQov oSsvol' 

£6%utLf] ysvi&Xr] fiiotov xul xvdog o%u%sl. 
3 'AQr\g cV uvtoAirj&sv uvsq%6 \isvog \isyu- 

toX\iovg , 
50 &uQ6uXiovg q^sl^ Ttots d' uv %Qu%i6Lv \idXu dsLVOvg. 
dvvcov 6*' uvx uXys66t ^QOtovg dtaLg ts %qo6u%xsl, 
6vXr\6iv t oXflov, ^Lotov t uvicpryv i%Ldsvstg. 
sv d' uq v%o%&ovicp TcivtQcp 6vvs6iv ts %uXi- 

%tSL 9 
ULSi X SV ?fr0QV$0L6L XUL iv 6tvis66L xi&Y]6LV 9 

55 xQav\iaxu d' uisv sdcoxsv , tds 6%u6\iol6l %uXs%xsl, 
XLvdvvovg t i%dysL &u\iiug, /Sloxolo #' u\i sqSsl 
uv%\ir]Qovg , xixvcov ds yovrjgrj %d\i%uv u\isq6sv, 
r] svu xiqXvysxov %sq svl \isyuQ0L6Lv sdcoxsv ' 
dsLvdg d' u\icpl yd\iovg' r\ yuQ &u\lu XixxQU disiQysL, 

60 r) Xcofirjv xiv usLXsXiriv uxd%Y]6s yvvuLXog. 

vtpt d' s%s\ifisfiucog \ii6ov ovquvov uXXoxs iiiv ts 
xi%vug dcoxs ($qoxol6l fluvuv6ovg SQyu (Uolo ' 

0%%OXS 6*' SVSQyCOV i%LLlUQXVQLr]6L 6VV U6XQC0V 



BIBAIOJS r. [B.] 23 

deQxr\&\ r\ye\LOvag &rjxe cpQOVQOvg te tVQavvorv^ 

65 ev&rjxrov cpoQeovtag eov 7teQt 6o3\ia 6Cdr\Qov, 
iv 7toXe6iv dr\\iot6C t aQiTtQeitiag 7toXiOV%ovg ' 
i\a7tCvr\g cf e6cpr\Xev eg ovQavov airtvv aeiQag 
detXaCovg opoStag Ttott TaQtaQOV r\eQoevta' 
rjrot yccQ cpvyddag cptXCr\g i%r\Xa6e 7tdtQr\g, 

70 r\ icorjg a7ta[ieQ6e cpCXi\g XQVoevtt 6tdr\Q03 , 
r] 7t6\ia cpaQ\iaxoev Ttiietv xativev6ev iv otxoig. 

ojQovo(.tov6a d' ael Kv&eQrj xaXovg \iev ide6&at 
Qe%et, xa\ yccQCevtag id' i\ieQoevtag e7te66iv, 
cccpveiovg (Siotej xa\ dyaxXiag r) evt 7tdtQr\ , 

75 xvdaCvet de texov6av ayav t aQtdr\Xov e&r\xev. 
xa\ de {ie6ovQaveov6a tdd' eQdet, TtQog de xa\ 

£Qyotg 
tQt6[idxaQag tev%et, totg d' avt' dXo%03v ydpov 

i^&Xorv 
C07ta6ev, iv de do\iotg xXetvbv {lCov r\e%r\6ev 
xa\ de yvvatxeCot6iv iit eQyotg dr\&dxig dvdQag 

80 X6qv6% 03 xa\ %Qr\\iat ide xtr\6tv itoQev bXfiov. 
a6ta6Cag d' VTtoy etog iorv Xe%eorv itiXe66ev , 
r]de yd{icov taQa%dg xa\ %r\Q06vvag , itote \iev te 
iv %eCv?\ 7to6Co3v, Ttote d' av \ieyaQ0i6tv iovtcov. 
xa\ d' ett xa\ dvvov6a xaxr\ 7teQt XixtQa yv- 

vatxo3v' 
85 r\ yaQ a7tot,evyvv6t 6vvevvcov , r\ TtoXvxoCvovg 

dcox aXo%ovg, obv dr) &d\L i7ta6%dXXov6tv icp v$Qet' 
xa\ d' avtovg cpr\{ir\6t xaxaig veotr\tog iv coQatg 
a\icpepaXev , \id%Xovg t ig detxia d-r\xato xvTtQtv ^ 
aXXotQCoDv te \iiXa&Qov o7ti7tevov6t yvvaixorv. 

90 EQ{ir\g d' dvtiXXcov \iev icp' 03Qr\g evxXeag 

dvdQag 
xa\ 7toXXr\g 6ocpCr\g i7tU6toQag i^eteXe66ev ' 



%oXXukl kul TtQodurjvut ivl 7tQU7tCds66L pQOtoitfiv 
TtUQaxa ^isXXbvtcov dcoQi]6uto^ kuC $ stEQ0L6Lv 
&s67tC£sLv cpr][it]6Lv oveCqu6C &\ d 6cpL6LV uvtoX 

95 oQcpvuCrjv Kutu vvKtu pudv Kvco66ovtsg Idcovtai. 
iv ds {is6 ovquv Ccp ftvTjtolg SQy co7tu6s KsvtQcp 
Tjtoi yuQ aocpCrjg fiCotov kuXuiiolo ts yQUTttcov 
7tQY\%LV e8cok\ rj 7tui6\v vcprjyrjtrjQug scprjvsv 
TtaLdsirjg, tovg d' avts tQUTts^rjg uQyvQutxoL^ov 

100 sitisv VTtSQ) %oXe6lv ds ts%vug rjQLio66uto %SLQog. 
rjv d' VTtoysLog srj, Tttvvtbv vbov s%stsls66sv, 
ftrjKsv kul 6ocpCrjg dsdurjKotug , iv ^cbtcp ds 
cclsv V7t uXXrjKtrj6L {isX7jdo6L {irjtLocovrag. 

dvVCOV 6' SV {ll>d-0L6L KUL SV 7lQU7tCds66LV uQC6tovg, 

105 kul Ttlovtco yrj&svvtug usl cprjciucg t uyu&fj6tv. 
svt uv d' cokeuvolo XsXov^svog uvt iXXrj6LV 
Tixuv, iv cf coqtj ksIvyj ^QOtbg ig cpdog sX&rj, 
TtutQog uQiyvcotov ysyucog tbts cpv6stut uvrjQ, 
tLLxrjsig ds t uyuv xal V7tsCQO%bg s6t ivl TtdtQrj , 

110 7tXoVtCp Kul Kt£UtS66LV VTtEQtUtOg SV \HSQ07tS66LV' 

TtoXXuKt kul f}u6LXrjsg iv coQrj rfjd' sysvovto. 
dvvcov d' 'Hsfoog XuiutQovg $LOtcp ku\ s7toXfiovg 

tEV%£L , KUL TtQUTtCScOV LldX ' UQLCpQudsCOV iltLVOlf] 

* * * * Svl TtdtQT]. 

Tlxuv d' iv ysvs&lr] lis6ov ovquvov uiKpLTtolsvcov^ 

115 7JV [l£V V7t UKtCvS66 UyU$CQV KUL {lUQtVQCrfiLV 

Ko6Lti]tuL, {isydlovg ts kcu evkXeu SQya tsXovvtug, 
cpuvXrj6LV d' uvyulg oXocov ^E^oXTjciivog u6tQcov 
uKtsdvovg tsv%SL , XvyQutg 7tsvC?]6t {loysvvtag. 

7]V d VTtbyELOV E%rj KEVtQOV, {ILVV&EL TtutQog 

oXfiov. 
120 kul ds Us Xtjvultj vtisq coqovoljlolo fl£pco6u 
[irjtSQu KvduCvst. dvvov6u ds trjXbd-t TtdtQrjg 



BIBAION r. [B.] 25 

dXXorQtr]v xard yatav aXcoo\isvovg &a{ia 7tXat,st. 
iv ds \is6ovQavl cj vvxrbg \isv d.QC6rr] fov%4h?l , 
rj\iart cf avd-' 7]66cov' si 8 s6& Xodorat yttv 

OQCOSV, 

125 svxXsCr]v 7tQr]%stg r aya&dg (isqotccov stsXs66sv. 
sv cf clq^ V7to%xtovCco xsvtqco dya&ovg \isv 

0Qca6a 
cc6TSQag S6d-Xr) scpv dcoTSiQa ts xsv&o\isvolo 
TtXovrov , draQ %a XsTtovg STtLycaQTVQag svr dv 

l'dr]6tv , 
XQV7tTadCoi6L 6Cvs66i xal aXys6t cpcora %aXs7trst ' 
130 TtoXXdxt xal 7trco6stg oQOcpcov xara xQarog scprjxsv. 

{tovvot fiev xsvtqol6l rdd* sytftsfiacorsg scpr\vav . 
'A XXrjXovg d OQocovrsg vitsQ xsvtqcov xars- 

vavra 

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coqov6[iov {isv VTtSQ &aCvcov, $as&cov de 

rs dvvcov 
07tXorsQot6t y.a6tyvy\Totg ftdvarov rsXsov6tv , 
135 TtQog d stl ysLVo\x,svoL6L XQovovg vsorr\rog dvLyQovg, 
v6rdriov ds %qovov XLTtaQov xal yfJQccg sv '6X(3co. 
sptTtaXt d sv rovrotg xarsvavrCov coQOvo\iovvrog 
Zrjv og xal txoXlolo Kqo vov d vvovrog svavra , 
7tQS6fivrsQ0Lg \isv 7t6r\iog ddsX<psLot6L TsXstrat, 
140 svdatpcov ds cpavslg 7tQo6&sv pQorog v6rara xdytvst. 
svr av cf avrsXXi] &a Cvcov , TIvQostg ds rs 

dvvr]) 
7tsv$aXsot6tv sr)v aXoyjov TV[i(3ot6t xaXv^ag 
%i]Qov diqvatov xXav6st xara dco\iara Xsxtqov ' 
rr]vds xa\ sv tq OTttxotg £cootg &a\ia rXrpsr 

avCr\v. 



26 MANEQ&N02 ATIOTEAEZMATIKSIN 

145 ai #' ccq' dv£Q%o\nivov "AQ£og (Daivcov TtdXt 

dvvrj, 
dv6tv%irjv \idXa y£tvo\iivotg cpaivov6t xat olxov. 
dvvov6rjgIla(ptrjg d' oitor dv KQovog coqo 

vo\irj6rj, 
ov \jlovov aivoyaytot nal dv6zXhg £ r iv£% o\i£vvcov , 
aXX* ett xal TtateQsg Ttaidcov ig 7td\i7tav anaidsg 
150 yivovtat * 6tsiQag yaQ rj co\iotoxovg TtaQaxoittg 
ig &aXd[iovg £l'Qv66av, id' al'6%sa TtoXXa t£Xov6ag' 
ei d£ %a\ iv tQ07tt7cot6tv £Ott,cootg xativavta , 
ov%l \iovov TttvaQalg aXo%otg yd\iov i^v^avto , 
aXX > avtot 7tQr}%£tg xv&iQrjg ayditr\6av dd-i6\iovg. 
155 £t%£Xa d' avtiXXov6a TtdXtv tovtotg K v & i q e i a, 
% Qog dv6 tv iQ%0[iivoto Kqovov %aX£%ov \jtaX* 

iovtog , 
\id%Xotg 7tQ£6^vtiQatg r] xal dovXrj6t 6vva7tt£t. 
£t d' r EQ\ir]g dvvrj6t Kqovov fofiacotog icp* 

COQTJ, 

%iv$£a y£tvo\iivot6t t£X£l d£iXotg inl tixvotg. 
160 £\i7taXt d' £l 2Jt iXficov \ihv dviQ%ott\ avtaQ 

dvvot, 
V£i%£a xal XQi6tag yQaittcov %aQtv rj£ \idl > aivcov 
£Qycov l'6%ov6tVi &cor)v d' iitl tol6tv £tXrj6av. 
Zrjvbg d' coQovo\iovvtog, i%rjv "AQrjg TtdXt 

dvvrj , 
ov% o\iaXov fiiotov dcoxav ' Ttoth \i£v yaQ a£iQav 
165 vtyov, xvdaXi\iovg t£ xal dcpv£tovg \idX* £&rjxav, 
aXXot£ d £6cprjXav xt£avcov t djto 7td\i7tav a\i£Q6av, 
xal xa\idtovg fiiototo %aQtv \io%d-ovg t iitdyov6tv. 
tavta di, xrjv dvvrj6i, TtdXtv Z£vg coqovo- 

\iovvt og 
"AQ£og i%£tiX£66£v iitl TtXiov, ovv£xa trj\iog 



BIBAIOJS R [B.] 27 

170 ddxQvu yul 6Tovu%ug cpd-tytevotg C07tu66* iitl Texvotg, 
xul d' uXo%otg rjQ\io66ev uetxeXiatg, Texv u% uXXcov 
rjOrj %qe^u\ievutg^ u 6t£q%ov6 uvxol uvuyxrj' 
itavzug d' avte xu6tyvrjTovg cptXirjg a%b TtuTQrjg 
aXXov e% uXXoirjg tyjXov yuirjg eyedu66ev ' 

175 [io%d-cov d' eg yrjQug TtQOTeQcov uvu%uv6tv edcoyev. 
ex TteQUTrjg d* uvtcov Que&cov yuTevuvTa Kv - 

&7jQrjg 
ig dv6 tv eQ%o{ievrjg %oXvoXfiovg TQt6\idyuQug xe 
Qe£et, y.ut \ieyuXcov uXo%cov rjQ\io66e yu\iot6tv, 
Qrjtdtutg d' eg yv%Qtv Ide ^vvutg cptXoTrj6tv ' 

180 XTrjOtv d' uvt idirjv Toyecov u% apteTQov edcoxev. 
\iuq\iuLqov6u d' u% avToltrjg eQUTrj Kv^eQSta 
dvo^ievovT e6oQco6u itvQtyXrjvov & ae&ovTa 
oXfiov xvbrjevru xul evyXeu cprjptv 6%u66ev, 
xal yuytov l\ieQoevTog evcpQ06vvr t 6tv iuivei ' 

185 Trjuog yuQ 6e\ivui v uXo%oi Ttov6i t uxotTug. 

a§ coQrjg d' e60QCOvZevg r EQ{ieirjv xut evuvTa 

xo6{iet ytev TtlovTco {iv&ot6i Te yal 6ocpirj6tv , 

u6%oXirjv d' co%u66^ ucpevovg fiu6tXrjiov uyucpig^ 
****** 

rj itoXicov uXrjQovg xul XTrj6tug u\icpte%ovTug. 

190 cog <5' uvTcog E q \i r) g coQrjg v%eQ oXxbv u\ieificov 
Tfv^ft e% coxeuvolo dv6tv t&ue&ovTog iovTog 
evoXfiovg eqyotg Te xul evxTeuvot6t TQu%e%utg 
[ituidcov & rjyijTrjQug rj uvtcov ftrjxev uvuxtcov]. 
coQrjd' enpepucog IIvQoetg dvTtxco %UQeov6rjg 

1%'AcpQoyevovg xevTQcp cp&OQeug XexTQCov uve- 

cprjvev 
uXXoTQicov , uXo%ovg de x 6%t%ev6uvTeg uyovTut 
e\ evvrjg heQcov' ul d' uvTovg ovrt Tiov6tv, 
uXXu Tto&oto yoQe66u[ievut \iu%Xov Te xv&rjQrjg 



28 MANEQ&NOZ ATL0TEAE2MATIKSIN 

av&Lg iit aXXa \iiXad-Qa xal aXXovg rjXftov 6\ievvovc 
200 TtoXXdxt 6' avro%£QL 6cp£T£QC0v %o6icav idd\ir]6av' 
^cooig d' iv t qotllxol6 l %£Q£iova rcovd£ teXov6lv. 
ravra ds xaLHacp ir\ tsv%el TtdXtv coQovo\iov6a, 
£vr av"AQr\g dvvr\, 7iXeo6lv d' £U xal 6vvo%f]6Li 
£iQxrfJ6LV r £7t£dr\6£ yvvatxEirjg evex arrjg' 
205 o66a 6' £7t£Krrj6avro veol, rdd' oXs66av ditavra 
ig yrJQag, TtEvir] ds xaxfj aXXr\xra \ioy£v6LV. 

evr dv d' EQ\i£ir\g \iev £%£iyr\r i g dv 6 l v iX- 

&ELV, 

iv d' coQrj ©ovQog cpXoyl \iaQ\iaiQr\ xarivavra , 
6%£tg iv r£ vocp xa\ \ir\ds6L ftrjxEv dyrjrovg , 

210 i6&Xovg d' iv 6ocpir]6Lv, idh dQrj6rrJQag iv EQyoLg. 
( Eq\iov d' dvriXXovrog i%r\v"A q r\ g %dXt dvvr\, 
Selvov 6%rj\ia rirvxraL , i%s\ pLorco \iev dviag , 
iv cf dyoQrj XQi6Lag, &cor\v #' d\ia vsix£6L %oXXolg 
1'6%ov6l yQa%rcov svexev' Mrjvrjv d\i6oQcovr£g 

215 xa\ ds xaVHi Xlov \leqo%cov tsv%ov6l cpovrjag, 
atsl 6*' SX%TC06LV (SlOTOV T£V%0V6L TtQog olxovg. 

ravra ds xal doLotg iri QOLg tev%ov6lv iovrsg 
a6r£Q£g iv x i v r q o l 6 l v , oV avrixa drj xariX£%a. 
o66a ds xal fla6LXrjsg dyaxXurol teXeov6lv 
220 'H i X Log Mr\vr\ rs, rdtf avrixa vvv xaraXi%co. 
r\v dvirj %£Qarr]g Ttrdv , dvvrj d x s 2]£Xr\vr\, 
r\ o \ihv vi{jl \jle6ov ri\ivr] %6 Xov, r\ d' v%6y elov 
xivTQOv £%!], \idXa cpcorag aQLyvcorovg xal dyqrovg 
qe£ov6lV) %ote d' av \i£ydXovg fia6LXr\ag ET£v%av , 
225 r\£ 7tdrQr\g %Qov%ovrag , r\ iv dr\\iOL6Lv aQi6rovg. 

cog 6e xal r\v rdds xivr Qa \iet aXXd\avr £g 

e%co6lv. 
"Hdrj xal 6vyxQ a6tv a£i6co \iaQrv q iag rs, 



BIBAIOJS F. [B.] 29 

r)d' oo eTtavxeXXovxeg r) aXXr\Xovg oQOCovxeg 
a6Z8Qeg eodovGiv' xd yao dxQexCr\v [idXa cpaCvet. 

230 Ttdvxa {iev ovv ovx av xig ecp cpQa66atx evl d^v^icp , 
ovd' evenot' xd yaQ a6%ex aiteCQixa x e6xl xax 

atd-Qfjv 
6%r\\.tax dpetfSovxcov a6XQcov TtoXvTtXayxxa xeXev%a ' 
o66a d' e7tiXe^co6i &eoC, xdd' eyco 6acpa Xe%co. 
Zr\vl 6vvcov KQOvog alitvg r\ ei6oQocov x exQa- 

ycovog, 

235 r\ oye xal d tditexQog a,7to 7tXevQr\g rexQtycovov, 
dcoQelxat cptXCr\v fia6tXr\tov r\ xal dva\tv 
elxeXCcov dvdQcov, avxovg d' aQa cprjitLv aQC6xr\v 
l6%ovxag rev%ei) xo6[xei d' v% aiteCQovt TtXovxcp 
xal [leld&Qotg Xr\Cocg xe pa&vxXr\Q0L6C x aQovQatg, 

240 XeCaig jtavxoCatg x, dyeXatg d{ico6Cv x dvaQCd*[iotg' 
dcoxe xal etvaXCrrv xxr\6tv vrjcov TtoXvcpOQxcov , 
xal TtQrfeetg dya&dg,xal d' av \ieya xvdog eit eoyotg, 
xal ItitaQov yrJQag pe%Qtg v6xaxCov d-avdxoto. 
dXX' "AQr\g x exQaycov og r\ dvxt%eQr\ ! & ev 

d&Qr\6ag 

245 i\)V%QoxaxovKQ ovov ovxa xaxog xaxov dvxCov e6xcog 
r\ xal [iov fiatv cov, detvdg x dxag eTttfidXXet , 
xal 7tevCr\v dv6aXvxxov dyet 6etXot6t (3qoxol6lv, 
e%o%a d' el' ye Ovv^HeXCco pefiacoxeg oQcpvxo' 
xrj{iog yaQ 7txco%ol Ttavdrjptot ivddXXovxat 

250 o&veC\\6L &vq7j6lv ecpe6xr\coxeg dvdyxy, 

r\ xa\ icpr\iteQCr\g daCxr\g %aQiv atvd [loyevvxeg , 
aXXr\xxov xaiidrot6tv QL^VQolg cp&tvTj&ovxeg. 
e t {ir\ d' eveQycov Xig oqgjtj 6%r\\iaxa xavxa , 
xal Ttoxcicp 6xvyeQcp t,cor\g eiti xeQitatf lxovxo' 

255 r\xot vavcpQ-OQCij yaQ, r\ ev %eXaye66tv eovxeg 

257 7} 7toxa{icp 6xvyeQcp , £ar\g %aQtv alva ytoyevvxeg 



30 MANEO&N02 AIIOTEAEZMATIKSIN 

256 xv\ia6LV F.QQaLtid-qGav , r) iv TtoXi^cp xqvosvti 

****** 

258 r} VTtb Xr\L6rr\Q6Lv rj iv %aQ^ri doQCXrjTtroL 

TtsQvccvrccL 6cpLy%&EVTsg dsLXsXCoLg vitb OE6\jLolg^ 

260 dYj&dxL xccl &r}QE66LV eXcoq xccl xvQ{icc ysvovro, 
1] itor iv r)sQL0L6Lv dcpvco xqt]\ivol6lv oXovro^ 
7] ($qo%ov alitvv avrjipav, r) iv 7trco6sL &aXd{ioio 
o6rsa 6vv&XLCpd-svrsg dC6rcog ^vybbv bXs66av. 
cog ds xccl rjpsQLOLg rd rslsCsrat , r\v oXofJ6LV 

265 xccl Mr\vr\v 6cpsrsQr]6LV vii dxrCvs66L fidXco6LV. 
sl cf aQu roL ysvsd-Xrj [tsv uQrjyoLsv xXvrol aXXoi 
a6TEQsg 9 oX d aQa tol [ir) cpaivovTsg cpoQsoLvro, 
vsCxsa xccl XQL6Lttg &tt{LLvdg iitdyov6L (5qotol6lv ' 
r)v d' dya&bg xevtqolo XQCcrfj , oXobg d' ditbxsv- 

tQog, 

271 6%rj\iccrL 6v{icpc6vco xtt\idrcov d%sXv6av drc alvcov. 

270 7tQrjVTSQttg dsTQLyavoL dsl tsXsov6lv dvCccg. 
'HeXlov 8 9 iitLd EQxbyLsvog toCy\6lv vit ccvycctg 
r\ xccl vvxTLTtbXov <J?aCvcov XLTtocpsyyscc Mrjvrjv 
ix roxscov d^icocov avrovg eq8el &SQtt7tovrag ' 

275 TtoXXdxt d' bcp^aX^ol6L 6Cvog XtTtocpsyysg srsv%sv, 
xccl yovsag vov6oLg xl>v%{icj xal f>r\%l %aXs7tT£L. 
'AcpQoysv sZ ds 6vvcov <DccCvcov r)d' dvxi- 

TtEQYl&EV 

7tQE6[$vTEQag 6rsCQccg r dXb%ovg xccl dsLXEccg cclvcog 
dooxsv. xccl rsTQdycovog dsl %ccXs7tbg xv&EQsCri ' 
280 dsLVOvg yd.Q rs ydpovg xal ivcpQ06vvr\g drsQ eqSsl. 
XvyQtt d' aQ J r\66ov sdcoxs TQtycovoLg cpsyys6L 

Xsv66cov. 
6%r\[Lcc6L d ovTtors tol6l dsdoQXcog 'AcpQoysvsLav 
TtaQ^svLXYYV iTtSTQstysv dysLV ig dcoyLccrtt vv\Lcpr\v ' 
drj&dxL d' a67t£QiLovg avrovg xccl aTtccLdag srsv\sv. 



BIBAION r. [B.] 31 

285 r\v d' ccQa xalllvQosvt S7tL\iaQtvQa tot6d i6a&Qr\6r\, 
r\ oys xal Mr\vr\v, svvov%ovg 7td\i7tav sd-r\xsv. 
r EQ\isCr\ ds 6vvcov QaCvoov ylco66r\g fildfiog 

sq8sl , 
xal XaUr)g i7tidr\6% r\v tisq \ir) cpoCvLog"AQr\g 
6v\icpovog xatLdoov Xv6r\ xccxosQyia Aco(3r\v. 

290 xal ds dCxag tstQayoovog scov XQL6Lag % i7tL7ti\i7tSL, 
xal 7tLvaQr]v Xa6ir\v ts ^QOtotg STts^QSi^ato %aCtr\v. 
toog d' aQa xal dLa\istQoc. ataQ %aCQov6c tQL- 

ycovoL, 
6%r\\ia6L d' iv tovtoL6LV asl cpLko\idvtLag avdQag 
Xal fiCfikCQV XQVCpL\lOJV \idX' scpLspsvovg tsksov6LV. 

295 Zsvg d' "AqsC \vvr)v [isv Iojv odbv r\s tQi- 

y ojvov 
r\ys\iovag qs£sl 6tQatLr\g vr\o3v ts xal L7t7tojv 
xal 7tstlcjv, Ttots d' av \isydkovg $a6Llr\ag stsv^sv, 
r]s 7tdtQr\g 7tQov%ovtag, r\ iv St\iiol6lv aQL6tovg. 
sl d* aQa \ir) 7td\i7tav \iOLQr\g dya&rjg tstv%OLSv, 

300 alX' a6tr)Q StSQOO&L vs\is66r\6r\ xaxosQyog, 
7] xal a7toxkCvcJ6Lv V7t avyag 'HsXColo, 
6vv toioLg dv8QS66LV asl 6tQOJcpojvtaL, V7t avtotg 
6tsQyo\isvoL cplXl?]6lv, vtislqo%ov sv%og s%ovtsg' 
Ttdvtsg d' svxtsavoL xal aitSLQLtov okfiov s%ov6lv. 

305 \iSLOva d' i6&ka 8l8ov6lv, S7tr)v t stQayoovoL soj6lv. 
7tdy%v d' dvoj\iakCr\v ^LOtov dLapstQOL sovtsg 
av&QCQTtOLg tsv%ov6% bts \isv 7tsvLr\v, bts d' oXfiov 
Ttvxvbv d\iSLp6\isvoi, alsi ys \isv aQXL svsl\io%. 
6vv Al\ d' 'AcpQoysvsia (iCcp %aCQ0vtag d\io- 

%&cag 

310 sv7tQr\xtovg ts tCd-r\6LV, ivcpQ06vvaig ts ydpoLO 
tSQ7to\isvovg * tovg yaQ ts cpClaL tiov6Lv o\isvvol , 
ix d aQa htotiQOJv Ttokvokfiovg avtal s&r\xav ' 



32 MANE6SIN02 AELOTEAEEMATIKSIN 

xal 8s xal svTEXvir] 6<pLv ivl {leyccQOiGov OTtrjdst. 
xal 6 aXXccLg TtQog Zrjv' etcl [iccqtv Qir]6 l xdd' 

sq^sl. 
315 ftf^Aog xccl UtoApovri, 6vvcov {isydXov <d Log 

tt6Tr]Q , 

6%r]\icc6 i x sv itdvTE66iv oqcov &obv 'EQixdcovcc ' 
TQL6\idxccQccg tsv%el yaQ, del l^cc6lXy]lov bXfiov 
vco{icovTttg, %qv6ov t s&vicov d%o dcc6\ioXoyovvTttg, 
xsxXoiiivovg t stiI tol6lv, dxovo^iivovg & vitb itoXXcov 
320 ot di t aQLyvcjTcov dvdQcov TtXovxov dLeitov6LV, 
ol d' ttQ djt e^LTtOQLTjg e6&Xrjg flioTov 6vvdysLQccv, 
xsQdscc ds 6<peTeQcov xcc^ittTcov dX^g ixTrpavTO, 

CiXXOL 6 ttV K06CLC0V e7tLL6T0Qeg 7] Sttt yQttltTCOV 

id{io6vvr]g sQiTL^ioL ttyccxXr]Elg t eyevovTo , 
325 ol d' ttQtt xal Ttccidcov r)yr]TOQsg, ev 6ocpirj ts 

TtoXXbv ttQLTtQSTtisg [iv&cov v7tocpr]TOQsg £6d-Xcov. 

sl d' ttQcc Tov6ds Kqov og {laXsQatg dxTl6Lv «#0770*77, 

7tQr}£,s6Lv sv toiy]6lv V7todQr]66ovTttg sQ-rjXEv. 

sl d' "AQiqg 6vvir\6Lv b[iov xccXf] KvfrsQ sir\ 
330 v($ql6tocI Xs%icov ts xal aXXoTQicov v^isvaicov 

yivovTttL^ dvttcpttvdtt \LttX* EKToX^cog Tads dQcovTsg ' 
4 xccl ds 6VVSW0L Tcovds TtoXvxXLvisg T£Xid-0V6LV, 

QrjLdicog cpLXoTritf hiQOLg xvxtiQiqg oQiyov6a,L. 

SLKsXa xccl d' aXXaLg iit l[lccqtv QiccLg TsXiov6LV. 
335 si ds xccl Eq ^Lsirjg SQazbg 6vv tol68s cpccvsirj, 

TCOV SVEXEV XQi6Lig T£ \xd%ttL T ttyOQYfiL ItiXoVTttL' 

ol cTs xal ttL6%Q hXr]6ttv iv dXXoTQioL6L 8oiiol6lv 
Xrjcp&ivTsg, cpr][ir] ds xaxr) 7tEQLdidQO[L£v aisi. 
r]v d' EQ[ifj tst Qdy covog r] dvTiog r) xcctk 

%COQ7]V 

"340 Tr)v avTr)v ®ovQog TQo%dr], ^dXcc XvyQog hv%&r]' 
vsixstt yd,Q yQaztTCov svsxsv XQi6Lag x ETtLTtipitEL , 






BIBAION r. [B.] 33 

xal 66\iov i^a7tivr\g xeveov $loxov dvicpr\vev ' 
dr\&dxL xccl de6\iovg i%dyov6 oXool6lv eit soyoig. 
aXXa xQiycovoL iovxeg i%icpQovccg ixxeXiov6LV 

345 xal TtvxLvaig 7tQtt7tiQe66LV ivcci6L\icc \ir\XLOcovxccg. 

<paidQog d\*EQ\ieir\g xccl 7ta6L(par)g'AcpQod ixr\ 
%vvr)v s%avvovxsg odov \idX' ccql6xol saOLV 
oXfiov uev 7tQooxL6xa do6av, [isxsTtsLxa ds \iv&cov 
TtetQ-co xccl cpLXirvv dycc^rvv xL\ir\v x ivl dr\\iOLg ' 

350 7tQog d' exi 7tavxoir\g uov6r\g S7tLi6xoQag dvdQag 
xsv%ov6lv, \10X7tf\6i x dyaXXo\iivovg xccl ccoLdfj. 
****** 

si 8i xs Xsv66co6lv Mr\vr\v xccX Zrjva cpiQL6xov, 
xccl 6xicps6tv xvdr\vccv, dyaxXr\sig x ivl Xaoig 
i^aixoLg ysQae66LV di&Xcov elvex e&rjxav. 
355 el d' exL xccl Tlv QoeLg xovxoLg i7tL\ittQXVQog elr\ , 
yivovxttL 6xadioL6L 7tttXccL6uo6vv?\6i x ccql6xol, 
7tvy\icc%ir\6i x dyv.6$evieg 7tXr\yf\6i xe %eLQcdv, 
xccl &ccuLvccig vlxr\6Lv dydXXovxccL xax dycovccg. 
xcclr) xal Mr\vr\ xal 7tavdeQxr)g r T7t e q icov 

360 ccXXr\Xovg OQocovxeg evavxiot r\ xexQdycovot, 

* ***** 

e^o%a d' ccvxe XQlycovoL, iitelxode 7td\L7tav aQL6xov 
6%r\ua Ttiket cpavXoLg xe xal icftXoig a6XQtt6L 7ta6LV. 

ei de xcci, olg iitioixev, ivl £cool6l cpv.veir\ 
d\icpco cpdecc xccXd, xo d' av TtoXv cpiQxaxqv i6xtv. 
365 Ttdvxcov \iev yaQ kql6xov ivl £cool6l TtaQsivaL 
ttQ6s6L \iev TLxrjv' , iv &r\Xvx iQ0L6L de Mr\- 

vr\v' 
7tQ06cpLkisg ydQ del xccl ueiXL%ot i%eyivovxo , 
SQya. xe Qr\Ldicog xccl 7tQr%Lccg e%exiXe66av. 
el di x' iv aQ6evLXoig d\icpco xXvxd cpiyye 

OQCpXO, 
MANETHO. 3 



34 MANE@£IN02 ATIOTEAEZMATIKSIN 

370 co^iovg, aOTS[icpsig, rjd' dxQSTtxovg s6idoto 

ysLVO{isvovg, ovd' o66ov VTtsixovxag voco aXXotg. 
o60oi d' av Mrjvrjv [isv sv aQ6svL, ftrjXv 

QG) 6s 

i6%ov6* 'HsXlov, %ol6iv d' aoa TtQrjt-Lsg SQycov 
dXXcog s%avvovxai rj cog cpQS6lv tj6l [isvoivcov' 
375 avxol d' aitQOKonoL , Ttdintav % S7taQt6xsQ0L av$Qsg 
&rjXs6 l d' sv c^cooLg dpcpco xXvxdcpcoxa cpavsvx 
dsLlovg, 7tavxaQ$sig, stSQOLg VTtOTtSTtxrjcoxag 
****** 

ftrjXvXSQOL 7tQa7tL6LV, $LOXCO d' SVL 7td[l7taV aTtQrjXXOL, 

dXXoxQlrjg yairjg xal dXrjxvog l^iSLQOvxsg. 

380 aXXd xod' s^iTtaXtv s6&Xov scpv xsdvfj6L yvvaL%iv 
TtQrjstaL yaQ x sl6l voco, 7to6is66i & soi6tv 
sI'zov6lv pdXa 7tSL&6[isvaL) 6xvysov6i xs vsixog. 

sl d' STtl &rj XvxsQrj ysvs&Xrj dvo cpcoxa cpavsirj 
aQ6 s6lv sv £(6oLg, r t d' ai) pdX ' dyr\voQL ftvyLco 

385 dsivrj xs xqvsqtj xs tisXsl 7tQa7tids66i x dxa^iTtxog. 
OTtTtoxs d' ovv 6sXdcov xoiotg £cjol6lv STtOVXCOV 
xal ©ovQog TtvQosLg xal xaXXixofiog Kv&SQSLa 
aQ6 s6l dsLxrjXoL6LV STtsyifisflacoxsg oqcovxo , 
xal t,coov TtQog xoig aQ6sv TtsXot coqov6[iolo, 

390 rjg cpv6Log Xr]yov6L , itaQa Xs%ss66l yvvaLXcov 
%XLv6\isvaL cptXoxrjXL , xdx dvsQsg sxxsXsov6lv. 

SfiTtaXt ftrjXvx sqol6 l d' oV dvsQsg sv %c6ol6lv 
(6%cod 'HsXlov xal vvxxsQOcpsyysa Mrjvrjv, 
ftrjXv ds xal %coov xaxs%rj KvXXrjvLogEQ[irjg, 

395 7ta6%ov6 al'6%sa TtoXXd yvvaLxcov SQya xsXovvxsg ' 
drj&dxL xal 67tOQi[irjg aidovg aTto [irjds sxsLQav. 

xcog [isv aQ aivd TtsXst cpv6Log pQoxsrjg xaxsvavxa 
cpcox svl dsixrjXoL6Lv §6v 6q6[iov s%avvovxa. 
AXX' sjtsl ovv {iol &v{ibg svl tzqotsqol6lv dsi6ai 



I 



BIBAION r. [B.] 35 

400 \ir\6at dvayzatov %Qelog, 6acpa vvv KataXi^oo, 

OTtTtoftev iv yeve&ArjGc %Qeoov £cor\g %qovov aQ- 

%r)v ^ 
dv&QC07t0Lg <pQa%e6d'' r)d e\ntaXiv^ bit%6$i Xr\y ei. 

ov (iev dr) %dvte66LV opcog \ieQ0%e66Lv eoLxev 
ol'r\g eK %ooQr\g iticov ldt,v6%-at aQi&yLov ' 
405 dllr\ yaQ #' etiQT\ yevi$lr\ acpe6ig 6vvaQr\Qev. 
o66oig [iev Titav rjol evi yeivo\ievoi6iv 
KevtQcp ejte[i(le fiaoog IvdakXetai, i% aQa nelvov 
(lOLQrjg dQ%e6&at ^totov %qovov i%aQL&[iovvtag ' 
vvKteQLvfj yeve&Arj de 2JeXr\vaLr\g djto \iOLQr\g. 
410 oititote d' dv nivt qoov intbg dvo cpoot d%o- 

xALv&rj , 
r)d' ccq i%l \iOLQr\6L 7catcocpeQee66L %6Xolo 
vL66r\taL TtQod-eovta, tot a6teQog aQ%eo ueivov, 
bg Qa te de6%6&L yevi$Xr\g \iiya te XQatog l'6%eL. 
el cV ccQa xdxelvov Xev66oLg %%LV%ivt d%b 

nivtQOv^ 
415 f'£ ooQr\g tot eitetta %qovcov dcpe6LV 6v ye cpQa^ov. 
£cor\g d' avt aQ%r)v evt dv dL%r\[ievog evQr\g, 
d e l k r\ X co v 6%i%t0L0 %Qovovg, b%o60Lg iteQarri&ev 
dvtiXXeL, xeivoov te %eol \iolqoov dedda6d-at' 
toog yaQ TtleLOOvcov aQL&[ibv \ioLQrj6L cpQa6aL0 , 
420 o66ovg Molq i%idr\6e pQotoov {ioyeQov ^LotOLO. 

iv de [ii6aLg [ioiQr\6LV, icp alg %oor) vipet av- 

dQOOV, 

ivdvxioog 6xi%t0L0, {ir) dxtlg r\ tetQayoovog 

r)e Ttat avt iTtiQrjv bkoov Kqovov r) IIvQoev - 

* X J r c \ s\ / 

r\ av totye 6vvavto\i evo l Z^oorrv 0LezeQ6av. 
425 vvxtl de yeLvopivovg %al %a\icpeyyr)g r T%eQioov 

3* 



36 MANE&SINOE AIIOTEAEZMATIKSIN 

dr\&dmg ccktlvs66lv salg Ttvotrjg d7td(iEQ6sv. 

7ta6av d' avv dcps6Lv TtXsvQr) TETQayavog oqlcIsl' 
pr\KL6Tov yaQ tovto (5qoto5v tskog svads MolQaLg. 



BIBAION S. [r.] 

'Ev co cpr\6LV 

A. FLeqI TQOcprjg %al dxQOcplag Ttaidcov. 

B. IIsqI yciyuov. 
r. IIsqI tskvcov yovrjg. 

A. IIsqI 6XSIQCQV %Cil CC67tEQ(JLCOV. 

E. IIsqI TtXri&ovg ts%vcov r\ %al oliyOTtccidiag. 

g. IJsqI tov Ttolccg xsyvag r\ jtoiag TtQcc^ELg (jletsXsv6£ 

o Tsy&sig. 
Z. UsqI 6tvovg. 
H. UsqI %xr\6scog. 
&. IIsql Sovlsiag %vyr\g. 



'El&s [iol, ag 71qotsqtjv faysoog r\Qpo66ag doLdrjv, 
Mov6a cpiXrj, xal <DoL(!ts xaVEQfirj %QV6o7tsdLls, 

%a\ VVV L(l£QO£V TEX[l(DQ &£Lr\T STtl (JLOk7tf\' 

amccQ iya) ^v^ibv TcatTtSQ xayLaTcp {toysovTa 
5 otqvvso) , {is%QLg av k STtl TtSLQaTa VL66o[iaL oi'{ir\g ' 
Ttav ya,Q ccelkeXlov, tcj [ir) TsXog s6^Xbv 07tr\d£L. 
f$ifil(p d' iv 7tv{iccTr} Tccds [iol 7taTav£v6aT asl6aL , 
a\icp\ TQOcpr\g ^Qscpsav r\a' ccTQOcpir\g ccls- 

ysivrjg, 

066a T E7t£Ly6(lEVOL MoLQr\g VTtO %£Q6LV £T\6LV 

10 avTo\ £7t ovX6[ievov TtoT^iov QL^avTO yovrjsg , 

apcpL ydpcov % SQaTcov xa\ dd sXcpSLQJv svSTtOLTi 



BIBAION g. |T.] 37 

xal tsxvcov ysvsrjg, 6lvss66C zs tol6lv sxa6Tog 
CCV&QCQTtGDV HS[tOQr}TCCL v% ccGtqccGl xlvv\isvol6lv , 
xal TS%vag \isX%olt Cds %Qr\%Lag, SQya tf 6%ola 

15 a6TSQsg av$QC07toi6i 6vY\%a&ss66i vs\iov6lv, 
r]d' cog 6cpaXXo\isvoL %oAv%Qr\\iovog sx (Ilotolo 
avsQsg sv %sv Cr\ ts xal alys6i \io%&Cllov6iv, 
xal d\icocov 6%%cog Tig s%LcpQa66aLT0 y svs$Xr\v. 
KsCvocg psv dr) TtQcoTa TQOCprjg s\isyr]QS Pqs- 

cps66 iv 

20 Ai6a xaxrj , tol6%sq t aitb ya6TSQog 6qvv\isvol6lv 
"AQrjg xal <&aCvcov v%sq coqovo\lolo fisficoTsg 
Xsv66ov6* sg 8v6lv slxo\isvr]v sQLCpsyysa Mrjvrjv, 
tirjTS 2JsXr]vaCr]v \ir\T ovv coQr\v xa&OQCOVTcov 
&co6cpOQOvr\Zr]v6g' tol yccQ ftiov sl6l doTrJQsg. 

25 cog d avTcog aTQocpslg xal o6oLg %iti ysLvo\isvoL6LV 
coqov6\iov 8ls%sl a C v co v , dvvov dSTS XSVTQOV 
"AQrjg, \ir\tf coQY]g £coov \lt\t ovv cpdog ayvbv 
Mr\vr]g dsQXo\isvov Zr]vog cpv6L%6co alylr]. 
xcc\ ds xai, oitTtoT dv r]vxsQ(ov IIvqos tg dLa\is- 

TQog 

30 dxTt6tv Mr\vr]v xa&oQa, (DaCvcov ds HsXr\vr] 
bs%LTSQr\v i6TY]TaL STtl 7tXsvQY]v TSTQaycovog 
avToXlrjv d%s%cov Tr]Xov *T% SQCovog afyXrjg , 
dr) tot d% codCvcov xal ya6TSQog sxitQo&OQOVTsg 
amCx aQ oIcovol6lv sXcoq xal &r]Q6l ysvovTo. 

35 rjv ds UsXrjvaCr] \isv scp coqov6\ico s%LTsXXr], 
sv TtQOTSQcp d' coQrjg %cocp OaCvcov %Q0&sr]6LV , 
daCpova tovts xaxbv %qotsqol cpcoTSg xaXs6avT0 , 
AQrjg d avr scps%r]tf coQrjg xaT0%L6ds dLcoxcov, 
\ir]T ovv 'AcpQoy svovg \ir]T svcpsyyovg Qas&ov- 

Tog 

40 dsQXo\isvcov dsCxrjAov, scp ch Mr\vr] xa&OQaTaL , 



38 MANEOSINOZ AnOTEAESMATlKSlJS 






dr) toO*' V7i codive66L f5Qi<pr\ ftlLcp&ivx* blof\6Lv 
vr\dvog e\iXxov6L dLa^eleWxl xapovxeg. 

ei d* ccqcc xal di%a xivxQOv eoL £gool6lv btc dklotg 
xcbg Mr\vr\ xeQoe66a, xo6ov xe%&ev %qovov r\co 

45 a&Qr]6eL, {ii%Qig av xe £elr\vair\ dcpixr\xat. 

el <¥ ccq v%eQ xivtQOio ZJeAr\vair\ (HeflavLa 
xr)v avxr\v e7ti%r\ [tolQav Ttole^oxkovcp^A Qr\ , 
i] t,coov xaxa xavxbv r\ dvxtTiiQrfoev iovxi^ 
avxixa dr) 7tQcoxr\6LV v% cbdive66LV 6Xl6&ov 

50 [irjxiQog dy%L TtodoUv eit b\ia xexXr^yvir^g. 

r\v de yovrjg dya&ol Teli&co6 > e7tL\iaQXVQOL coQr\, 
exfrexov ex {leyaQOV xoxicov fiQicpog ev&vg exv%&r\ ' 
xr\v pev Zevg Mr\vr\v 6<pexiQatg ccxxl6lv dd-Qr\6r\, 
<xvr\Q, 6g [ilv aveileft , ebv itotrpaxo Ttatda, 

55 r\ exiQip dcoxev xexicov xr\xco[iiv<p dvd^i, 
6g &i[ievog ixeyaQOLg l6ov yovi\ioL6L xie6xev. 
r\v d' oAoog <Daivcov Xev66r\ TteQtcpeyyia Mr\vr\v. 
QL<p%\v aitb Xe%icov, exiQOv d' vitb %elQe6t dQecp&ev 
dx\jLevir\g dovleLov vjtb %vybv alv dvixXr\6ev. 

60 xal de Kqovov TteQaxri&ev d^Qeto^iivov vjteQ 

daipovL d' ev XvyQco Mr\vr\g TtQOTtccQOL&ev eov6r\g, 
xal xivxQov TLtr\vog djtoxhviog xeAi&ovxog, 
t,cor\v [iev x l6%ov6% dxaQ exftexoL ex naxQog olxcov. 
bnitoxe d' av Mr\vr\g [iev e%r\ 6vva<pr)v KQovog 

aivog , 
65 dvxt7tiQr\v 6*' avxov IJvQoetg avyf\6L (3dAr\6Lv 9 
lir\d' o66ov Mr\vr\v e7tLdeQXO[iivov (Pai&ovxog, 
QLCpd-ivxeg %ooQr\g xr\Xov xax eQr\<xddog olxxQcog 
6ovXo6vvr\g ftQecpftivxeg OL^vQrjg dvi%ovxai. 

ei 8e xatf coqovo^lov pev eoL fiepavta HeXr\vr\, 
70 xfj d' ccq e%avxikXr\ Zevg e6jt6[ievog xaxo7tt6&ev , 



BIBAION * [r.] 39 

Mrjvrjv d' axxl6LV Oaivoov xaxsvavxia Xsv66rj, 
xal nvQoecg sxiQco&sv avoo xivxQov xad-OQCprj, 
ig xo66ov QLCp&sv \iiccv£L %qovov , si6oxs Mrjvrj 
ix7tQOcpvyov6 i oXocov avyag G> a i # o v x i 6vvdiprj. 

75 ojQrjg 6' av TLxrjvog vtcsq ^Qoxir^g XQO%dovxog 
aivov x ig 6v6lv sXxo\iivov xaxivavxa K q 6 v o lo, 
xal 6s HsXrjvairjg \jlex aQLyvcoxov <&ai&ovxog 
6sixrjXov xaxd xavxo xal ovx i6o\iOLQa &sov6rjg , 
i%67tLdsv 6' "AQEog 67to\iivov 6vvacprjv xs UsXrjvrjg 

80 6s%vv\iivov , ^Qicpog ig xo66ov TtaxQootov olxov 
liipvEL, [ii%QL xs Mrjvrj sji "AQsa &ovqov r ixrjxaL. 

si 6s 6voo 6sXdoov xivxQcov vnsQ s6xrjooxcov , 
'HsXiov psv icp ooQovo\icp, 6vxlxoj 6e 2J eXrjvrjg, 
rj xeivrjg \iev icp ooQrj, dxaQ TLxrjvog evavxa, 

85 xoo \iev 6r) (fraivcov, xrj 6' av UvQOsig 6vvi7trjxaL, 
rj xoov \iev XQO%dt] XLg o\tov exiQco, 6 6e xivxQco 
aXXcp i%s\i$E$ac3g Xsv66rj xslvovg dvLovxag, 
tj6lv VTtal TtaXd^iatg xsy&sv Qiitxov6L xoxrjsg. 
rjv 6' 'AQrjg TtEQdxrj&sv aveQ%rjx , avxaQ iit avxoo 

90 ai vco v , ij sxiQ0L6Lv oy av xivxQ0L6LV ETtrjxat, 
Mrjvrj d' exxo6%ev xivxQOOv 6vv Zrjvl cpiQrjxaL, 
fiatbv 6r) xoxe %aQ\ia pQoxolg xsv%el Ttsol xixvav ' 
xo66ov yaQ Xsv66el xe%&sv %qovov d\ifiQoxov rjoo, 
Mrjvrj [ii%QL &iov6a 7taQal%rj (fraid-ovxa. 

95 va\ \ir)v xal 6iXag'HsXlov Mrjvrjv xs xal coQrjv 
OTtTtox dvi6&Xo6 6xaL \iev a7to6xQEcp%ivxEg loo6lv, 
ol 6' oXool Xev66oo6l, xox sxd-Exa xixva yovrjsg 
Qi%xov6 > ig fiaftv xv\ia [SoQrjv x s\xsv olcjvol6lv. 
s\i7taXL 6' aQrjxol 7tal6sg xoxis66L yivovxo 

100 EVXQaCpisg #', 07t060L6LV dlt C06ivCJV 7tQ0$0Q0V6lV 

a6xiQsg i6 %Xo6oxat £oorjg 6coxrjQsg sa6Lv , 
rjxoL VTtEQ xivxQCOv xal 6\iov Mrjvrj $E$aooxsg, 



40 MANE&SINOZ AIIOTEAEZMATIKSIN 






r) 6£Xtt£66 eTtidsQXOfievoi Mr\vr\v t£ xal &Qr\v, 

r\ xivtQCOV Xttt07tL6d-£V £% tt\L(p0tiQr\6LV ioVtOOV 

105 <T>czCvovtog KccV'AQ7]og, tt7to6tQocpov dxtCv£66Lv 

flaLVOVtOOV 6£ld03V t£ Xttl COQfjg , 7\£ tf £0L6LV 

6viicpoovOv Sqoliov iv c^cooLg cpCfoov t dvvovtoov. 

7tttL6LV 6' CCV 7ttt6LV, tOL6LV %COr\V 7tOQ£ MoLQtt , 

diicpl tQOcpr\g LLttt,ov xccl vr\7tLir\g dl£y£Lvr)g 
110 l^ooov 6r\LLttCv£L, to X£ dr) Mr\vr\g TtiXccg £i'r\, 
co £vl dr) x£Cvr\ tQLtdtr\v £7tLvl66£tccL r)oo. 

To66cc llIv aLicpl tQOcprjg TtaCdoov, TtoXioov ccTt 

(5ccLtt, 
r\£L6 ' £%£Cr\g o\ ydybov %iQL vvv iviTtotLiL, 
tt6tiQ£g olov £Kcc6tog dd cpccCvov6L x£X£v$0Lg. 
115 £vt dv y£LVO[iivoLO pQotov Mr\vr\ ll\v iit£Cr\ 
ccLTtvtdtco xivtQco, Kv&iQr\ d* VTtoynog OQrjtttL, 
tr\\Log OLLoyvr\toLg y£V£rjg t tty%L6tcc 6vv£vvoLg 
^vyvvvtccL, 7toli6LV d' o[ioyd6tQLOL ig Xi%og r\lfrov 

VVLLCpttL. tOVtO 6\ 6Q006L) Xttl OTtTtOtttV ^AcpQOy £V£C 

120 f EQ\i>£Cr\t£ ftooo %vvr\v odov i%avvoo6Lv 

* * * * * * 

dxtt6L 6cp£tiQttLg, <&ccCvcov d' irtLLLttQtvQog £lr\. 
r\v d\ 7tiXr\ l66[LOLQog ttQLyvootcp t&ai&ovtL, 

* * * * * * 

d£Cxr\Xov xatd tavtov f#, ydcLog £7tX£to trJLiog 

7tttQd-£VLXr\g. L60V d\ Xttl £L Z£Vg LLttQtVQCf\6LV 
iZbEQ [l£Lr\V X£V667\ 7tl£VQr\V L60LL0LQ0V od£voov. 

'AcpQoy^vrig d\ ll£6ovqccvCov xXCvcc6 j a%6 xiv- 

tQOV 

xccl dt66olg 6£kds66 lv a7to6tQocpov oillov iov6a 
d6tcc6Cccg t£v%£L tccQtt%r\v t£ ydpoLg LL£t avCr]g. 
0a Cvoov 6"Eq {i£Cr\ t£ 6vvoov fiXo6vQf\ ts Kv- 

&r\Q7\ 



BIBAION * [R] 41 

130 yitol S7t ovndavcclg r) dvd&a \x,a%ko6vvr]6LV 

SQya \tsTSQ%o\isvaLg ^vyioig r]Q\io66aTO XsKtQoig , 
%a\ntav $ r)lLxCr]6L vsaLg r± 7tdy%v ysQaLalg. 

ia&Ar)v d' av cpLXoTrpa yapov %C6tlv zs yvvatKCOv 
a%QavTOLO ls%ovg dcoKsv xaXr) Kv&sQSLa, 
] 35 svt av a% dxTCvcov"A Qsog tcoXlov ts Kqovolo 
\iC\ivf] aitrniavTog^ xsCvcov cpXoysr\6Lv v% avyalg 
dlXrjXovg STtLdsQZo\isvcov, amr) d 9 ayavffiLV 
dsQxrjTaL xsQos66av vii ccktCvs66l 2JsXr]vr]v. 
OTtTtoTS d' e EQ\isCr]g ts xal"AQr]g xal Kv&s- 

Qsta 
140 [is66ov V7tsQ xsvtqov %vvag avvc36L xsXsv&ovg , 
tol6lv d' am oXoog Q)aCvcov \iST07tL6d-sv sitrrrai 
vco&qov STtavTsklcov 7] xal xaTsvavTa doxsvcov, 
e| sdQr]g TtLvaQolo Tsyovg %vvrjg % a,7tb dr]\iov 
svvrjg av6Tr]6avTsg ayovT sg dco\iaTa vv\icpag y 
145 Ki6a 7toXv\ivr]6T7]6LV dsl tCov6 ako%OL6Lv. 

r)v ds dvco [isv cpcoTa \is6ov %Hvco6 > d% 'OXv\i- 

TtOV, 

TtdvTsg 8* a6TSQsg dkkoL V7to%\fovLOL cpoQscovTat 
SXT06&SV ksvtqcov, Trjpog %sCvr]g cctco yaCr\g 
a%STaL aXXoTQCcov cpcoTCOv dyvcoTa ftvyaTQa, 
150 %a\ TtaTQiqg aTto TrjXov 6\io3g %sCvr t ] ^lotsv6sl. 

olg d' ccq v7tSQ& coQr]g %aks%cp sv daCpovL xakr) 
'AcpQoysvr)g cpaCvr], Tr)v cf av KQovog r] tstqcc- 

ycovog 
r)s xaTavTL7tsQ7]v Xsv66r], nr)v XsxTQa %6qco6lv 
****** 

&r]XvTSQOLg #' svt dv Kv7tQtg %SQar\ ts E s l r\ v r\ 
155 \cool6lv Xdfi7tco6\ rrroL dvTLXOv xaTa xsvtqov, 
r] ical V7to%&ovCov , r) xal dvo ksvtq scpS7tco6LV , 

\LOVvd\ 6' dyLCpQTSQOL KaTSVaVTCa TT]6LV OQCOVTat, 



42 MANE0SINOZ AIIOTEAEZIMATIKSIN 

xf\ {isv"AQr\g 9 vfi d' avxs KQOvog, xo& salg %avd- 

&S6[l0t 

%vyaxQa6tv %axsQsg \vvbv ls%og si6avs^Y\6av. 

160 val [ir)v xal Kqovov svx av sv ol'xot6tv Kv&s 

qs ta 
cpaCvrrxat 6vv Zr\vC , Kqovov xaxo%t6dsv iovxog , 
ds%vv[isvr\g avxov 6vvacpr)v %aXr\g 'AcpQodixrjg , 
Kv%Qt6t \LaQxvQir\v"A q s co g sxsqco&l cpsQovxog, 
Mr)vr\v d' d^icpoxsQot SovQog QaCvcov #' oqocov- 

xai^ 

165 dr) roV a% codCvcov o%o6ot cpdog sdQaxov r)ovg , 
liolQav avs%Xr\6av %okv%sv&sog Oidtitodao ' 
xolGt d' aQa 6xvysQovg Ilotval pLsk%ov6* vpsvaCovg 
vsQXSQtai, %sCQS66tv avaxpdptsvat %vq\ Jtsvxag ' 
{ir\xQa6t yaQ 6cpsxsQatg cpiloxr\6tov sg ls%og r)Xd-ov. 

170 si ds yvvatxsCr\ ysvsftlr\ Ttskoi, sg TtaxQog svvr)v 
zXCvovxat. xcbg d' avxs xal r\v %Xr\QOto ya^toto 
QaCvcov ds6%o£cov rpxot %axa xsvxqov scp coQr\g, 
r) oys cpaCvr\xat dvvcov coQr\g xaxsvavxa, 
kdd-Qr\ 7taQ&svCr\g £covr\v lv6avxo xoxsv6tv 

175 r)s xa6tyvr\xotg 6cpsxsQ0tg itaxsQcov xs xsxs66tv. 
r]v d' V7toysCco"AQr\g r\ xal dvxtzco svl xsvxqco 
dsQxr\xat fisfiacog ulr\Qov yd[iov avxbg dva66cov , 
atds pCi\ 8pLcos66iv r\ ovxtdavolg v%b cpco^lv 
dpLr\d-sl6at ftoAsQcog coQqg dv&og di6Xs66av. 

180 rp d EQytr\g xsvxqol6lv s%sCr\, xol6iv sAs%a, 
xal ydpov avxbg sol6tv svl £cool6lv ava66cov , 
XQVTtxadCcog 8oXsqol6lv 6%t%svdst6at s%s66lv 
xal Ttvxtvaig d%dxr\6LV sr)v cpQsva cpr\Xco&st6at 
s%a%Cvr\g sysvovxo kdd-Qr\ %qo ydpoto yvvatxsg. 

185 si d' aQa 6vv ZxCXfiovxt xal "A Qr\ g xsvxqco s%sCr\> 
xrjg svsksv HQC6iig xs dCxat x dyoQ]\6t %slovxat. 



BIBAION *. [r.] 43 

Zsvg ds xal r EQ\isCr\g \is66ov xatd xsvtQov 

sovtsg 
avv Iltttplr}) %sv\ccvtsg o\ir\ftsCr\6L yvvcctxcov 
dXXotQCcov (istSTtSLta yd\iovg dvacpavda tsXov6Lv, 
190 dXX' vtlo \ia%Xo6vvr\g xccl tcov Xs%og ccv&l liiiovto. 

si ds \1s60vQttVL0v xats%r\ c&ccs&cov \ist "AQr\og 

* * * * * * 

r\toi yaQ t avtol xotf 6\isvvovg r\Q7ta6av aXXcov , 
r\ xsCvcov dXo%ovg stSQOL j3Cr\ sl'Qv6av ccvtcov. 
aiitvtdtco d' S7t\ xsvtQco sv6tscpavog Kv& sqslcc 
195 TLtrjvog \istcc dsQXO\isvr\ TtcctsQcov 6XoP\6lv 

7taXXttxC6LV 6VVS\IL%' r\ \ir\tQVLr\6LV ifj6LV. 

sl ds x "AQr\g tovtOL6Lv 6\iov 7tsXr\ , cc%ql yd\iOLo 
^sv^&svtsg xsCvt\6lv acpvco TtdXtv ccvtol sXsLcpdsv. 
"AQr\g d' r\vCxcc \is66ov dv ovQavov d\icpL7toXsvr\ , 
200 coqov6\iov $' S7ts%r\ <Dccs&cov, Tttdv ds ts dvvr\, 
ti\\iog ccq ccQ7tccyC\iovg vv\icpccg sg doo\iat ayovtat. 
si ds {is6ovQttVLOv \isv s%r\ Mr\vr\ [SXo6vQoo7tig , 
Kv itQtg d' ccvtf VTtoysLOv L'6ccLg \iolQaLg ps^avla^ 
ccvtoxa6Lyvr\toov 6cpstsQcov 6vvsa6Lv 6\isvvoig. 
205 dvdQog ysLvo\isvov cf OTtot av Tttdv ts xal 

"AQr\g 

XCXL KlJTtQtg ZtCXfioOV tS \ILCCV Xttt tttaQTtOV 

1'oo6lv, 
SLvsxa xXs%to6vvr\g svvrjg Xa&QCr\g ts xv&r\Qr\g 
sv 6vvo%f\6L ysvovti \ ol d' ccv xal ds6\iov hXr\6av, 
avtoi ts \td%loL ts xal sg cpLXotr\t dxoQs6tOL , 
210 sx t dXo%oov Xoofiag xs xccl vfiQLag ccisv s%ovtsg, 
cog xal soto yd\iov XoofirrroQag ccvtol sg ofxovg 
ds%vvvtaL %svCr\ 6xotCr\g svsxsv cpLXotr\tog. 

sl d' dvdQog ysvs^Xr^v r\d* ccv xsCvoio 6vvsvvov 
6xsi[}d\isvog xatCdoLg d\icpco ^coolv svl Mr\vr\v, 



44 MANE&&N02 ATLOTEAEEMATIKSIN 

215 alsv 6<jL0<pQ06vvrj6Lv laCvovx aixcpX ydixOL6LV. 

SaCixovL d r\v %aXs7t<p %sCvr\g Mr\vr\ 7tsXr\ avdgC, 
alsv dxa6&aXCr\6L yvvr) a&soC£,si, dxoCxr\v 
ovdsv OTtiloyisvri Xs%scov &s6<xol)v xe ydixoLo. 
xavxd d' aa' sx 7to6Coov xeXs&sl dsLXf\6L ywai%Cv , 
220 svxs 2sXr\vaCr\ aXo%OLg sv daCixovL Xvyo(p 

avdoav yaCvrvxai ' di%a yaQ voov aisv %%ov6lv. 

'AXXcc ycco ovxig Ttdvxa dvvr\6sxaL, o66a ydixoLo 
6r\ixaxa <paCvov6tv &ool a6xsQsg, s^ovoixrjvaL' 
x<p xal sycj ZQstya) sxsQr\v nax dxaQTtov aot8r)v 
225 dixcpl xskvcov ysvsrjg ivsTtav, r\vx a6xsQsg alsl 
av^QC37tot6i vs\xov6lv aXr\\xo6vvr\6LV sfj6tv. 

o66ot dr) %&ovC<p xs ual atTtvxdxcp Ttsol ksvxqg) 
cc6x SQag svsQyovg cpojxsg psfiacjxag s%ov6tv, 
otds xexvojv xo66c3v TtaxsQsg (5l6x<p xeXs&ov6lv , 
230 07t7to6ot sv xol6l ^cJOLg na&VTtSQd-sv 0Qc5vxat, 
r] xsvxQOLg xovxol6l cpSQov6 S7tL\xaQxvQov ai'yXr\v. 
Ttaldag 6' s6&Xodoxat kevxqgjv xal 07tt6& STtt 

ovxsg 

dooxav dsl dt66ovg , svx dv %cool6l dL6<oixoLg 
cpaCvavxaL. TLxav ds xal "AQr\g svx dv S7tco6LV 
235 xovxol6lv xsvxQOLg , xsxscov aTto TtdixTtav dixEQ6av 9 
s%o%a d' sl x aya&oC 6<pLv dixaQXVQOL a6xsQsg slsv. 

oog d' avxoog xaxo7tt6^E ixs6ovQavC<p dsLxr\X<p 
r\s & V7to%^ovC<p c&aCvcov xal "AQr\g ETttovxsg 
dv6xsxvCr\v r\ 7td\X7tav d7tatdCr\v E7tsxXco6av. 
240 dXX' "AQrjg 6vv Mr\vr\ td' 'AcpQoy svel TtdXt 

cpaivov 
dojXE xsxvcov ysvsr\v' ( EQixf\ d' dixa vo6cpL6s TtaC- 

doov. 
r\v ds KvTtQtg psv sr\ ^cooo Kqovov , avxaQ oy 

olxco 



- 



BIBAION g. [r.] 45 

i\i7taXt Kv7tQoyevovg, TtaCdcov yever)v tot acpaioel. 
el d' hi xal TIv qoslq Ha cp Cr\ v dxtt6LV 0Qc6r\ , 
245 co\iotoxoLg codt6L yovr)v EQQai6av aita6av. 
el de \1e60vQavCcp ^cocp neveco yeyacott 
Tixav xal IIvqo eig dpcpco Kat07tL6$ev sitavzcci, 
%rJQOv del tev%ov6L doyuov yXvxeQcov ajto tixvcov. 
o66at de UtCX^ovt l %al 'HeXCco d\ia Mr\vr\v 
250 ev £cocp 1'6%ov6l \ie6ovQaveovtL dL6c6\ico , 
vrjdvog el'6co 6jteQ{ia yovrjg dtdv^iOLO Xafiovzo. 

el de 6v6lv 6 eXae66tv b\iov TtdXtv a6reQeg elev 
xaXoi, td' iv ^cooLg dL66otg TtaQeovzeg oqcovto, 
xal de xal coQOvopog t,c6co cpaCvoLto dL6co\ico , 
255 rrjtiog ddelcpeLol TtaLdog dldvpOL TtQoyivovTO. 
el 8e itoXv6iteQ\3LOL6Lv b\iov £cool6lv eitetev 
a6teQeg e^&XodotaL, TtaCdcov TtXrfovv %a^C- 

6avto. 
ol d oXooC, xr}v 6co6l yovrjv tenecov [i£Q07t£66Lv, 
r] TtdXtv dp acpelovt r} dvaQ6ta ftivTO tok£v6lv. 
260 'ApyC ye \ir)v texicov y everjg dfog ' r) yuQ i%i- 

CpQCOV 

dvrjQ xaC k dito tcovde, ta dr) XCtiov , coxa cpQa6aLto ' 
e%rjg d' r)\iet£Qr]6LV doLdfJ6LV xataXi^co, 
o66ovg L\ieQtrjg TtaCd cov cpvtXr\ga7td\ieQ6av 
a6teQeg, r)d ' o66ag dtoxovg tev%ov6t yvvatxag. 

265 OTtTtot dv iv £cool6l Kqovov xaXr) Kv&eQeLa 
cpaCvrjtaL, avtbg de KQovog dLa\ietQog OQrjtaL, 
vco&Qovg ig cpLXoTvjTa xal a6jteQ\iovg \idXa tev%ei. 
xal d' bitbt dv (DaCvcov te %al "AQrjg'AcpQoye- 

velrjg 
oixov £7t£Q%covtaL, KvTtQtdog t£tQaycovov iov6rjg 

270 rj Tovg avtL7tiQr\&£v iatg d%tt6LV 0Q(66rjg , 
£vvov%ol t£Xi&ov6L yovrjg ig 7td\i7tav dpLOLQOL. 



46 MANE0&NO2 AIIOTEAEZMATIKSIN 






cjg d' avxcog, xr\v KvTtQcg ivl Kqovov oixcp 

bdevrj, 
6vv de Kqovco Tlv Qoecg xeCvr\g dopov d[i(pt7toXevr\, 
EQprjg de £cjov xaxe%r\ Kqovov r)de x"AQr\og, 
275 evvcdeg ot \idXa xoc xexecov dyovoC xe TteXovxac. 

val \ir)v xal HxCXficov evx' dv \ie6dxco Tteol xev 

XQ<p 

6xeC%r\, xcp d' oXobg OaCvcov xaxevavtf vitoyeiog, 
aXXr\Xacg d ' av Mr\vr\ td' 'AcpQoy evr)g xexQaycovoc, 
xac xr)v [iev G>aCvcov, Mrjvrjv de x "AQrjg dexaxevr\ , 

280 yeCvovx r)e yovrjg xr\X(6\ievoc, r]e 8C\ioQcpoc 
dXXa \iev EQ\ieCr\, xd d' eocxbxeg' A(pQoyeveCr\. 

ec de 2JeXr\vaCr\ \iev evl HxCX^ovxog oqoc6cv, 
aQ6evc d ev £(6<p KvjtQcg TteXoc ev Kqovov ocxcj, 
/^d' o6ov d\icpoxeQag Zr\vbg xaxadeQXopevoco , 

285 6xeCQag r)d' dxbxovg xrjpog &r\xavxo yvvalxag. 

bititoxe d' av OaCvcov \iev viteQ xevxQov \ie6axoco 
t6xrjxac, xcj <J' avxe xaxavxciteQr\v 'AcpQodCxr\, 
r\xoc diteCQr\xoc xexecov enl itdyyv yevovxo , 
r\ cp&eCQ0v6c yovdg ditb ya6xe f Qog co\ioxoxov6ac. 

290 ec d' e6&Xbg&aed- av xol6Cv y ejttpaQxvQog ei'r\, 
tfjevde6cv codCve66c Xd&Qr\ jtaCdcov eyevovxo 
[ir\xeQeg aXXoxQCcov xac v7tofiXr\dr\v exexovxo. 
ec d' d,Qa xal TIv q 6 e c g [laXeQalg dxxl6cv 0Qcpr\ , 
Ttdvx dvacpavdd TteXec, xdye dr) Xa%-Qr\ e%exeXe66av. 

295 el d' dya&cSv a6xQcov 7tava%o6xQocpov oiycov 

covxcov 
dvdQog eoc yevid-Xr\ , xbx decxea eQya xeXoi)6cV 
xeQ6avxeg yaQ d%Qecov eov ditb 6(6\iaxog acdco 
xal xv6c {irjdea dbvxeg exovxr\v co\id da6a6&ac, 
Xcxol dyeCQOvxeg yatav xaxd ita6av aXcovxac. 






o 



BIBAION s. [r.] 47 

300 oGGcug #' avxs yvvaL%iv"AQr\g (bas&cov x* sitl 

XSVXQCQ 

aiTtvxdxco $s$dco6L, Kv&r\Qr\g sv Kqovov olxco 
cpaLVO\isvr\g, avxov xs Kqovov ^cqcq sv sxsCvr\g 
dsQXO\isvov Qas&ovxa \is6ovQavsovxa xal"AQr\v , 
xrjtiiv MoVq 6lor\ xsxvcov 6xd%vv ovitox svsl\isv. 

305 To66 7 SLTtCQV aXSXVCOV XS XLXL a67tSQ[lC0V TtSQL 

CpCQXCQV) 

aXla ds \iavxi%6Xoi6iv STtL(pQa66a6&at sa6ag , 
avxCx dd slcpSLcav ks%co itcog dv xs cpQa6ato 
7tlr\%-vv^ 07t7to660L xs \itr\g aTto ya6XQog sa6LV 

SX X OlcOV TtaXSQCQV, 0660Vg X S7tL\A\ sxsxovxo 

310 (jLYjxsQsg dlloloL6L 7taQ dvdQa6LV svvr\&SL6aL. 

sv &v{ico dr\ TtQcoxa xqsco (pQa^^aL aQLftyLOV , 
o66ol scp coqov6{iov t,coco XQLxdxco xad-OQcovxaL , 
r)s [is6ovQavsovxL 7to6ot (5sf3da6LV VTtSQ&sv 
a6xsQsg, r\ 6cpsxsQatg S7tL\iaQXVQoL sl6l $okr\6Lv. 
315 oTtTtoxs d' s% coQrjg XQLxdxov x d%6 dsLxr\loLO 
r\ OTtox sx xsvxqolo xods 6xstya6&aL aQSLOV , 
ovx sla&sv 6ocpov dvdQa xal l'd\iova \iavxo6vvdcov. 

cog d' avxcog 6xstyaL0 xal 0660Lg a6xQa6L Mrjvrj 
6v\i(pSQSx\ r] o66ol6l \is%QLg (pa6Log 6vvs'u,l%sv ' 
320 xo66ovg yaQ yvcoxovg MolQa &vr\xol6LV OTtd^st. 
sl d aQa u-r\ xlvl Mr\vr\ ou-ov ftsoL r\s 6vvd%xoL^ 
xo66ol drt dXloLCQv \ilxxol xsIs&ov6l xoxr\cov. 

sv ds dL6co[iOLg o66ol 6\iov Mr\v r\ cpOQsovxaL , 
r) 6vvacpr)v 8sCxvvvx\ r\ \1aQxvQCr\6LV 6qcq6lv^ 
325 6L66ovg oXys xa6Lyvr)xovg &vr\xol6L vs\lov6lv. 

sl d s&sAoLg dsdar\6&aL, dnal TtaxsQcov \isv 67106- 

6ol, 
[ir\XQCQY\g 6' d%6 ya6xQog o6ol ysyda6LV 6{iaL\iOL, 



48 MANE0SINO2 AnOTEAEHMATIKSlJS 

og \isv ya,Q cpaCvsL %axQog yovov, r) d' aocc \ir\XQog. 
si d ccq a%Qug cpa6Log \ir) dr) xlvl cpcox\ 6vvd%xoL 
330 %a\icpsyyr)g Mr)vr\, gwco ds x o%l6&ev iovxi 

r\ KQOVog r) JJvQOSig £%L\iaQXVQOL ivddXXcovxaL , 
r) rcavQOvg %r\%av yvcoxovg, r\ xal 6%avadsXcpovg. 

xavxads Qs%ov6LV7ca\ bx av \is6axov zaxa ksvxqov 
\vva &sco6' r) q%l6%ev sitavxsklovxsg OQcovxat, 
335 xr\v ixxbg xevxqolo, %a6iyvr\xovg oXekov6lv. 

%a\ ds xai coqovo\icov <DaCvcov, o%o6ol %Qoys- 

vovxo 
cpcoxbg adsXcpSLoC, itdvxag £cor)g d%d\isQ6sv. 

IloXXd \isv ovv Xig xol6lv ioLXoxa 6r)^ax avsvQOi 
sIvsk dd skcpSLCov' x i%vag d' syco avxCna ls%co 
340 SQya& bitola ve\lov6lv ol£vqol6l (5qoxol6lv. 

QaCvcov coQovoficov, Eq\iov dvvovxog svavxa 
%a\ M^\vr\g \is6axoLO cpasLvov6r\g%axa xsvxqov, 
dsL7tr)Xcov \s6xcov %a\ sit dv&rjQalg XL&d%s66LV 
6cpQr\yCdcov yXvcpiag xev%sl , xovg d 9 avx i%\ %aXxco 
345 r) %qv6co daLddl\iax rj aQyvQco ixxsXiovxag 
sixiX^a £cool6lv v%b yXacpvQr\6L xoQsCaLg, 
ol xa\ i%\ 6cpsxsQr\6L xs%vaig \iiya xvdog ccqovxo. 

svx dvd' coQOvo\ifj<PaCvcov, X^cocov d' dva \is66ov 
EQ\isCr\g icpi%r\, xco ds Zsvg \iaQXVQog sl'r\, 
350 Qr\xr\Qag \iv&cov dya&ovg 6ocpCr\ xs \iaX 9 ais\ 
sv%QS%sag xsXiov6L xa\ r\yr\xr\Qag d^C6xovg 
%aLdsCr\g' xcov d' avxs xa\ dlkoda%r\g d%o %oXXo\ 
si6atov6L veol, %oxs d' avxcov %aldsg dvdxxcov, 
cbv d%o %Qr)\iaxa %oXXd xXiog x a6$s6xov sXovxo. 
355 iv d' coqt\ £x CXficov (3s(}ac6g, dvvovxL ds Mr)vr\ 
****** 

dcpvSLOvg yXvxsQco xs \iiya fiQC&ovxag iv oXfico ' 
dvo\isvoi6L ds cpco6\ %qscov vco\ir\xoQag dvdQag, 



BIBAION $. [r.] 49 

ovg $£ xal aXloxQCcov xx^dvcov l&vvxoQag £Q%av ' 
xal ds xal iv xQOTttxoZg a\v irjg %dxQr\g diETtovtag 

360 %Qr\uax' tds \vvov %XovxoV 6x£Q£oZ6l d' i%6vx£g 
i&uivovg, o&l z al\v a\L£i$£xai aQyvQov al'yXr\. 

ddooXoLg d' iv vyQoZ6tKQOvov xal cpoCvLov"AQr\v 
%vvr)v i^avvovxag odov Tlxccv ox£ X£v66r\ , 
TtXaxrJQag vr\oov x£ xvfi£Qvr\xr\Qag ccQLtixovg 

365 X£V%£L, Zrjva d' oqojv, xai % a%xaC6xovg ivl %dxQr\. 
%Qv6ocpar)g d' r EQ\ir\gxal%aacpaCvov6' 'AcpQodCxy\ 
6%%6x' av aXXrjXoov olxoLg cpaCvcovxaL i%6vx£g 
r\ xal ivaXXdydr\v oqCcov \ioCQr\6L fi£fioox£g , 
aoX%f t 6Lv yXvx£QTJ6L {i£(i7\Xoxag dvdQag £X£V%av, 

370 r) XLyvQY]g XL&aQrjg i%LC6xoQag r\§\ xal avXcov. 
xavxa d' ccq' ixx£Xiov6L, xal r\v £,vvr)v ccvvco6lv 
oluov,xov u\v iitovxog OQOLg, xr\g d' avx£ xax' olxov. 
U£66oxdxco d' £vx' dv xivxQco ©ovQog X£ xolEq- 

£67tcovxat xaxo%L6&£) %aXaC6xQr\g £Qy' iopiitovxag 
375 r\ 6d~£vaQovg QOTtdlotg X£ y£yr\&6xag i%£xiX£66av. 

£vx' dv 8' coQovo[ir\ Kv&£Qr\) Qai&cov di x£ 

8vvr\ , 
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&£6itL6xdg %£oXr\%xa u£ur\voxag ai\v £$r\xav. 
xavxa d* ap' ixx£kiov6LV ouov KvitQtg x£ xa\ 

"AQr\g 
380 xivxQco v%£Q&' coQr\g r\ xal Svvovxl f5£poox£g. 

ig ?J(5a d£Qx6{i£vog IlvQO^Lg, &aCvcov d' v%6- 

yuog, 
r\v 7t£Q nr) (frai&ovxog v%' dxxCv£66Lv oQcovxaL, 
6r\vaL0v uo%&ol6lv v%' aXyuvoZg uoyiovxag 
X£v%ov6% ax&ocpoQcov lcocov fiCoxov X£kiovxag. 
385^ iv 8i x' t6r\u£QLvaZg %r\XaZg JSxCXpcov tds Kqico 

MANETHO. 4 



50 MANEQSINOZ ABOTEAEZMATIK&N 

ULTtvruTop xivrQCO (lefiucog oXocp 6vv"AQr\L 
iv %odvoLg %qv6ov re xul uQyvQOv uiyXr\evru 
rr\xovrug (ji&L xul d\ioLpuioLo %uQuxrug 
6r\\iurog ' ei di xe tol6l xul 'Hi iLog 6vvi7tr\ruL , 

390 a66oTioag \tuXeQoio TtvQog Ti%vag \ioyiov6LV , 
%uXxbv \iuX&d66ovreg id' r\eQoevru \i6Xvfidov, 
dx\io6i t e%iXxovreg erL ^eiovra 6idrjQ0V. 

ei d' uqu xul &uivcov tol6lv 6v\i\iuQTVQog el'r\ 
evdov ecpe£o\iivovg Ttuidcov r\yr\roQug eQdet. 

395 uvrbv d' el xe Kqovov Zevg e\i7tuXtv u&Qr\6eLev , 
r]v xul u\l e EQ\ieir\ Te xul uXXoLg KvitQtg OQrjruL, 
et, eQycov Toicov TtXovrov xul xrr\6LV uqovto. 

ei <J' uq > viteQ xivrQovMr\vr\ 2Jt iXflovTL 6vvd- 

TtTOL, 

r\v TteQ u\i EQ\ieir\ xul xuXXixo\iog Kv d' i q e l u 
400 cpuivr\rut , xul Zr\vbg vit dxrive66LV oqcoto, 
oQyava SuLduXXovrug td* aioXa \ir\%av6covrug 
dXXu re ftuv\iur6evT eQy ovx eTtLeLxrd (5qotol6lv 
rev%ovrug §i£eL , xui 6cpLV xXiog e6^Xov b%r\0ei 
%Qr%Log ex roir\g cpLXir\ r dyavoov fiu6LXr\oov. 
405 roir\v d t\v 6vvucpr\v Mr\vr\g Oaivcov re xu 

v AQr\g 
diQXcovr', e6&XodoTUL di r u7to6TQOcpoL ivddX- 

Xcovtul^ 
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%7t7tcov r coxvnodcov 6r\\idvroQug , r)e 6vcpOQ$ovg , 
ovg d uqu Ttev&uXicov tv\ij5cov ftrjxuv TtvXucoQovg. 
410 OTtTtore d ai) xivTQcp \ie6arcp ®ov Qog \iev e7teir\ 
Ouivcov d e67tr\ruL, rr\\iog \idXa \io%&ifcovreg 
uvi^eg e^eyivovro, 7tLXQr)v brXevvreg ol^vv. 
O7t7toir\v de dvr\v $l6tov xeiveov Xd% exu6rog, 
^oodLU tol XQiveL) roig u6ri^eg e\Lfiefidu6LV 



BIBAION g. [r.] 51 

4J 5 sv \isv z etQccTtod £6 6' e%vqcov dco\iriTOQug olxojv 

lcWTO[lOVg T Sq8ov6LV VTCSQ V03TCJV CpOQEOVTCCg 

u%$su xal laag pQiaQQvg, xots d' s%tsXsov61v 
SQycov Ts%T06vvr\g 6Tad-[irjg t s%U6T0Qag uvOQug' 
sv d' uqu %sq6uCol6l Xl&o%qol i^sysvovTo 

420 r\di t uydl\iuTu xald Tsyvaig TEV%ovTsg srj6iv 
duCduld t SKTsXsovTsg dito tcql6tov sXscpuvTog' 
tlojoig d' iv TtavvyQo l6l Iostqo%6ol , o%£Tr\yoC, 
stvodCr\v %6%qov ts xal ov&ov drj&d opSQOVTsg, 
Ko6\ir\TUL %r\7tcov dvTloig vdooQ cpoQsovTsg' 

425 sl ds \1s60vQuvCop xsvtqoj Zsvg \iuQTVQog sl'rj 
TSTQaTtodojv t,ojojv kslvcov odov S^aVVOVTOJVi 
r)s KvitQLg, ETSQotg SQya 7tQr\66ov6Lv vitSQ&sv 
avTol sops6Tr\03Tsg svxzsavoL tsIs&ov6lv. 

tuvtu d' uq' d(icpLS7tov6L xul r]v , &Xlvoj6 > utlo xiv- 

TQ03V 

430 u6TSQsg, dlti sv OQOtg Mr\vr\ Oulvovtl 6vvu%tol. 
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VSLUV 

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sl{iutu xuXXvvovTug , r\ l6%uliuig psAovrfiLv 
435 Qooyalsovg ztsitXovg u6%r\\tiag sxTsXsovTug. 

i\v ds Kqovov ZjT llflojv i6C6r\ 6vv Zr\vl (3s- 

(3C3TU) 

uftuvuTcov ^axoQOvg 6r\xc5v #' uyCoov CsQrjug 
tsv%sl , \iuvT06vvug tlu&srjg cpuCvovTug dit dpoprjg. 
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440 uiQ-QopdTug tsv%el, 6%oCvoLg tqC^ov i%uvvovTug. 
r)v ds xal EQ\isCrjg tol6lv 6v\iiiuQTVQog slr\, 

a%&£U &UV\LUTU %SQ6l XUL 0J\l0L6lV CpOQSOVTUg 

litTuyLEvovg yvCoLg ivuXCyxtov 6qvC&s66lv , 

4* 



52 MANE&SIN02 AIIOTEAEEMATIKSIN 

7tLkvtt[livOVg T£ vi(pS66LV ilt 7]VS\l6svTL TtSTSVQGJ. 

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470 f]6LV i7tLCpQ06VVr]6LV, 7] CCQ&ivTSg 7tQCC7tids66LV 
tt&CCVCCTGJV SQyOJV CpV6L0g TtiQL \ir]TLO0J6LV. 

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\lttVTLSg tt6TQ0V0\l0L T OLGJVOTtokOL T iyivOVTO 

ix 67tXccy%vojv ts fiQOTotg ftviojv t cctco &s67tilovTsg, 

■ 



BIBAION * [r.] 53 

475 r\ \idyoL uQQr\T0L6L fteovg xuXeovreg ccotdalg. 

el d' T EQ{iijg \iev ogoig Zr\vbg TteXot, e\i7tuXt d' 

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QYjrrJQag ixv&cov 6o<pCr\6C ve 7tu\i7tuv aQCatovg. 
480 cog de xuC y r]v ojQrjg \iev e%r\ xevTQOv 6ocpbg Eq [irjg, 
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Zr\vbg d' ev xad-vyQcp £oj<p Pqotoj ojQovo\iovvTog 
485 r\v QaCvcov e<pe7tr\TUL, uXCTtXuyxTov TteQ e%r\xav 
e\i7tOQCr\ vr\6g &' r\yr\TOQU ztovTOitoQOio. 
el <¥ 'EQprjv Xev66ete KQovog CcpeTeQOtg ev 

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495 deCxr\Xov xutu tuvtov r\ dvTL7teQr\v fiefluojTeg 
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r\ %Qr\vovvTug del xeQuolg eitLTv\jL$LOv uvXolg. 
el b EQ\x,r\g TovTOLg e7tL\iuQTVQog r)e xut uvto 
500 %<oov eoL, xXojjtug, Xr\C6T0Qug, uvdQOcpovrjug, 
r) vuvratg bkoalg vit icoxalg xr\Qug uyovTug 
Qe£eL, utuq ftuvuTOLO TeXog TeTXr\oTug ulvbv , 
%qCv Te ftuvelv XQveQrfit dultlo\ievovg bdvvr\6LV. 
OTtTtore d' uvt olxovg \jlolqojv '^ ,, oql 7 dXXd%C06LV 



Cvoo 



54 MANE®£lNOZ AIIOTEAEZMATIKSIN 

505 aXXr\Kcov KvTtQiq %s xal svcpsyyr)g &obg 'EQLirjg, 
avXcov r\ xi&aorjg r) doidrjg svQv&Lioio 
r)s xal 0Q%r\&LL0v Pr\TaQLLOvag IdQtag ovtag 
%r\xavT, r\ %ksvr\6t kaXoug Ltd%Xoig t' i%ss66iv 
TSQ7tovzag, TQaytxrjg ts ($aQv($QOLLOv i6T0Qag ol'Ltr\g 

510 aisv i% svqv%6qol6iv aXcJOLtsvovg &VLLsXr\6iv 

sl ds& OQOig Eqllov Tttdv, avTogft' aLL sxsCvcp 
'EQpstrjg cpatvrjtai, ds&Xr\Tr\Qag stsv^sv. 
xr)v llsv dr) T0VT0i6i 6vvf\ xaXr) Kv&sq s ta, 
xvdd?.iLtot vCxr\6t 7toXv6TScpssg t iysvovTO' 

515 si ds KQovog xaTsvavT s7ti{iaQTVQog r) TSTQayavog 
7}S 6vvcDV cpatvr]Tai, sitl %&6va 7ta6av dXavTat 
a6tscpssg tyacpaQoig ts LtaTr\v 6Tadtoi6t LioysvvTsg. 
ojqovollov d axTl6iv saig Xsv66ov6a Kv&r\Qr\ 
ix TtvQog rj TtoXioio Ts%vag Sjta66s 6idr\Q0V. 

520 r)v 8"Eq Lifj %coqov xa& sbv $s$acrTt 6vvditTr\ 
r) 6vLtcpcovog OQr\Tat VTtb HTtXfiovTt SsXr)vr\, 
aioXa daiddXXovTag saig %SiQS66iv scpr\vav 
ix 7tQi6Tov slscpavTog r) ix Avydoto cpasivrjg 
svTr\Ktov t aTtb xr\Qov sv\s6Taig 6avtds66tv 

525 LtOQtpag LLiLir\Xf6t %aQa660Ltsvovg yQacpCds66iv. 

LLS66(p 6' SV XSVTQOJ ©OVQOg 6CpSTSQ0i0 xaT ol'xo 

( Eqllt\ 0LL0TQ0%dcjv Ts%vag C07ta66s (5avav6ovg. 
svts 2JsXr\vaCr\ ds Lis6ovQavCov d%b xsvtqov 

xXCvr\, aTaQ OaCvcov ts xa\ v AQr\g xsvtqoj S7tc36iv, 
530 TrJLLog o6ot tpv6av, vsxvo6ToXot s^sysvovTO , 

7\ CpQOVQOi VSXVCOV TVLtfioig svt vaiSTaovTsg. 

si ds yvvaixbg sr\ ysvs&Xr\ , Toi6iv ds 6vvsCr\ 

'AcpQoysvrjg, xsyss66iv scpr\itsvai al6%sa dQco6tv. 
bitTtoTS $' coQOvoLifj ZtIX /3 09 v £o5ov xaTa fi-rjXv, 
535 8sixr\Xor d' ivl &r\XvTSQ(p xal Mr)vr\ i%sir\^ 

cjQovoLtcp ds K Qovogxs xal AQr\g o%%6ts.xsvtqco 



BIBAIOJSI g. [r.] 55 

atjtvTccTG) scpsTtcovTat, ol&qol ysyda6LV 
cpcoTsg' ALvdv\iiri yaQ dysiQovTsq uaTa dr\\iovg 
%a\ TtoXtag TtXatpvTai o\jlov QoitTQOLg ts xal avXotg, 

540 %sq6lv satg xoipavTsg acpvco tskvo6tt6qov aidco. 
'AXXd yaQ ovTtg %vr\Tog scov ita6ag y*s dvvatTO 
TtQrj^tag r\ TS%vag SLTtstv, o66ag \iSQ07ts66iv 
cc6TSQsg sv 6cpSTSQ0L6tv s\i0LQr\6avT0 6q6{iol6lv. 
s^sir t g d' ccq' STtstTa 6ivr\ %sq\ 6co\iaTa &vr\Totg 

545 otfjroV S7tsxXco6avTO xa\ OTtTtoiag xaT ccTaQTtovg , 
^sqsco \idXa 7tavQ% S7ts\ ovTtva (pcjr' svl T0660Lg 
a6xr\&r\ %a\ avov6ov d%QLg ftavaTOLO k scpsvQOig. 

svt av dr) gcoco TLvqos Lg stilovtl {$sflr\Kcog 
a yLcpOTSQOLg 6 sXds66LV o\iov [3s(5aco6Lv STtrvraL, 

550 ocpd-aX^oov 6sXag a\icpoTSQCov r\\isQ6s ^QOTot6Lv' 
r\v ds 2JsXr\vair\ \iovvr\ Tr\\Log 6sXag dyvov 
Xr\yov6r\ , stsqolo cpdog xav&oto 6lvco6sl ' 
tovto ds %a\ dvvov6rj STtsQ%6[isvog Ttd&og sqSsl. 
r]v dvvovTa d' "AQrjv xaTidrj KQOvog f)s xa\ *Eq- 

555 r] iiavir\v r\ vov6ov OQivov6LV Pqotco lqt\v. 

oog ds xai, r\v <Da s&cov dvvr\ , coQr\v d' icpS7tco6Lv 
r EQ{irjgxa\IlvQ6 SLg, \iavir\v TtQaTtidcov tsXsov6lv. 

va\ iir)v xa\ TLTr)vog dvsQ%oiisvov diia Mrjvrj 
sx 7tSQaTr\g dvvovTsg biiov Qaivcov ts uaV'AQr\g 
560 Xv66r\QSLg ttlvvtov ts voov 7taQa7tXr\yag STSv\av. 
slzsXa %r]v IlvQosvTog oliov Mr\vr\ vTtSQ coQrjg 
tsXXollsvov stsqov $ a s & co v dvvr\ xaTa ksvtqov. 

e EQ\irjg d' ooqovolioov 6vv ts Kqovco dvTLTtSQrj&sv 
dvvovTog Zrjvog TtQaTtidcov voov r\LiaXdvvsv, 
565 acpQovd t s\stsXs66^ aTtocpcoXLa \ir\TLOcovTa. 

Mr\vr\g d' sv cp&lvv&ovtl cpdsL 7tQodv6LV %uxa 

TtdvTa 



56 MANE&SIN02 ATL0TEAE2MATIKSIN 

'HsXlov \isxu 7tu\icpsyyovg, stsqcov d' stxlqvtcov 
dvo\isvcp xsvtqco, \idXa dr) cpoa&Gd-ai uvcoyw 
ot \isv yuQ x oXool xrjoag %u\ 8sC\iur dyovoiv 
570 sldcoXcov xs fiQOTolg lv6uX\iutu 8uC\io6lv l6u, 
kuI ^ud-sucg b\icpf t 6L xXsl£o\is'vovg uvscpr\vuv. 

cog ds xuC, r]v G>us&cov"A orjv Svvovtu dicoxrj 
s^otcl^ s67to\isvog, Xv66uv \iuvCug t STttfidXXsL. 

07tTtoTS d' c6qovo\ij\ \isv"AQr\g , dvvrj ds Hsti.r\vr\ 

575 U[lCpC TS XVQTC0dsl6U Cpuvfl (Du CvOVTOg 0Q0L6LV , 

xrj\iog uq' u16%l6xol cpvvxsg &vr\To\ itsol \ioQcpr\v 
b%su dtvcoTovg 6TSQvoig cpoqsov6lv STt' co\iovg, 
6vv ds Kqovco (5aCvov6av S7tr)v Kv& sqsluv 

u&Qr\6r\ 
"AQrjg r\ TSTQuycovog^r) uvTLTtsQrj&s Ps(5r\xc6g y 
80 \ir)8s' UTtOT\ir\yovTsg scpr\\LSQOV slvszu cpoQprjg 
uXXoTQCr\6L frvQrfiLV scps6Tr\coTsg uXrJTUL 
ysCvovTUL, Ttsvlrjv ulsI 6vvo7tridbv s%ovTsg. 
6vv TlucpCr\ 8s U sXr\vaCr\v Xsv66cov xXvTog 

"AQr\g 
uvdQug \isv \id%Xovg xal 07tL7tsvTr\Qug stsv^sv, 
585 ftrjXvTSQug 8s Xs%og \iL6d-ov 8r\\i0Lg 7tuQS%ov6ug. 

OTtnoTs 8' uXXr\Xcov OQCotg KvitQtg ts 7cu\"AQr\g 
cpuCvcovTUL %vvbv t,cocov 8qo\iov S%UVVOVTSg , 
^coQOTtOTug, %co\iol6l ysyrj&oTug, sv xs \is&r\6LV 
ov (5Cotov TsXsovTug , S7t uXloTQCuLg 8s yvvuL%\v 
590 KQVrtTudCuLg t svvfJ6L \is\ir\voTug uvdQug stsv%uv. 
sl 8s KQovog tol6lv \iuQTvg txsXol^ ul6%s6lv ulvolg 

u\icpsfiuXsv ' tol6lv yuQ us\ xvTtQtg 6to\iuts66lv 

****** 

svx uv 8 HsXCco 6vvCr\ ksqos66u 2JsXr\vr\ 
u\icpoxsQCOv \is66olo cpusLvo\isvov IlvQosvxog, 
595 xol6l 8' b\iov fisfiuco^L KQovog xsxQuycovog oqy\xul, 



BIBALON g. [R] 57 

rfj^og ivl atiovoi(5i %oky\ %sCov6a piXcava 
avd-QG37ioig %aQi%Xay%s voov, lv66av t i%0QCvsL. 

600 dvvovtsg Tixav ds xal cbxa &iov6a Z,skr\vr\ 

****** 

598 r) %r\Qcov vov6cov %-avdtov xilog r)s xaftvyQcov , 
Xv66r]QSig ds tsXov6l, cpQSvofilafiCr\v t i%ayov6iv . 

601 r\v d' i%\ 6vvdi6[iov Mr\vr\ %ir\"AQSog dvta 
r\ tstQaycovov sovtog, avtrjQcp tots cpcotsg 
ol'6tQcp i% Sidcolotg xsvsolg voov i%toCr\%sv. 

sl ds 2JsXr\vaCr\gIIvQ6sLg xa&v%iQtSQog sl'r\, 
605 r} oys dvg v% ixsCvrj sr^ 6vvo%f\6LV sdr\6sv. 
svts ds xa\ c&aCvcov Mr\vr\ STtL^iaQtvQog sl'r\, 
v6tatL0v ftavatoLo ($Cr\ tiXog i\avvov6Lv. 

s\o%a d' avts 6lvov6l (iQotovg %Xr\yr\6L 6Ldr\Q0v 
r} vov60Lg LSQrJ6Lv"A q s l Mr\vr\ 6vvLov6a 
610 titQa6LV iv xivtQ0L6L xal avtL0C06 i%\ xivtQotg. 
sl di ts xal OaCvcov oXor)v axtlva pdXr\6LV, 
d%%s6Lv r\ Xds66L d6[icov t 0Q0cpfj6Lv s&Xli^sv. 

sl di t d% dxtCvcov 'AQSog cpsvyov6a 2JsXr\vr\ 

<&aCvOVtL XQVOSVtL 6vvd%toL 6sQXO{livOLO 

615 2JtCX^ovtog, dsLvatg vsvqcov vov6ol6l %aXi%tst. 
aQyakioLg ds 6Cvs66l ($QOtol xd{ivov6L, xaV'A Qr\g 
6%%6ts dvvr\6LV, Mr\ vr\g 6vv tcp xatL0v6r\g 
xal Kqovov alitvtdtOLO yovr\g coQr\v icpi%ovtog. 
sl di ts Mr\vr\v psv QaCvcov, TLtrjva ds 

GovQog 
620 Xsv66slsv xativavt r\ paQtVQioL tstQaycovog, 
o66oLg diicpotiQOL6L ^Qotcp 6Cvog ixtsXiov6LV. 

svt av d' coQr\g \CsvTLvQOSLg xato%L6$sv sitr\taL, 
cpcotad aQ dXXr\XoL6L cpasCvrjtaL dLa^istQa 
r\ tstgdycova, 6Cvs66l dv6aX&r\toLg [Loyiov6Lv, 
625 cog xal s%s6$oXCr\6L xTsovg 6to$isLV i%\ vov6cp. 



58 MANE@£IN02 ATIOTEAEZMATIKSIN 

aAA' sl \isv Zsvg xol6l cpCXog xccl \tttQxvQog £l'rj, 
XLvdvvcov QVExaC xe zal ix xaitdxcov i6aco6£v ' 
avxCa ds Zrjvog Xsv66cov Koovog dXysa xsv%el 
s%siv 8v6%ovCrjv xs, 6Cvrj ds %SQsCova dcoxsv. 
630 To66a \isv d\ccpl vo6cov, i%\ cf sfxsXcc xol6i 0v- 

vaix* dv 
cpQat,E6%ai \idXcc %oXXd voco %s%vv\iivog dvrjQ' 
Xi£,cod' av \lexs%el&\ cog i% zxsdv cov xsxal oXflov 
Ai6axaxr) xQVEQrjv %svCrjv i%\ cpcoxag dyLVsl. 
TcXrjQCOv i%sXdov6L flQOXovgQaCvcov IIvQOELg xs, 
635 og iisv %Qo6dsv lcov r T% SQCovog , og di x 6%l6xtev. 
xavxa ds xal \is6dxov qe£el xXCvag d%6 ksvxqov 
a6xrjQ, ovys do\iog ocsdvog xocJs tcevxqov ixv%&rj. 

val \ir)v ocal IIvQosLg fisficccog t,c6cp ^loxolo 
i^OTtttf coqovoliolo TtaxQCOLa Ttdvx ixsda66sv ' 
640 s%o%a d' sl % avxco 6wirj keq6e66cc HsXrjvrj. 
xcog cf a6xrjQ %ccqec6v qs^el 6cpsxsQ0L0 xccx oltcov , 
ig At/3' ox dv dvxLXtp ksvxqco xaxo%L6& i%L6vvrj ' 
acd d' aQa. xal kXitjqolo xv%rjg iisdscov a%d\iEQ6sv 

olfiov, Or' ttVXOg EOL XEVXQOV fittCvCOV %QO%dQOL&EV. 

645 7tQog ds \is6ovQttviovxsg 6\iov QaCvcov xs tcccl 

"AQr\g 
ycXrjQov r) ovn co%cc66ccv r) ccv dovxsg y d%d\LEQ6ccv ' 
cog ds Kttl si xods kevxqov d%6 %XsvQr]g xsxQccycovov 
7] dlttLlEXQOL oqcoev, dcpvco tt7t£v66cpL6av oXfiov. 
iv 7t£vCr\ 6e \ioysv6L xcc\ o66oLg cpcoxa dv coQrjv 
650 \irj Xev66tj, %d\v%av di r' d%o6XQOcpov olllov o8evtj. 
el 8' aQa drj Mrjvrjv d£xccx£vco6' a6x£Q£g aiicpco 
"AQEog rjdh Kqovo lo, zfLog di t' d%o6xQocpog 

tt6xrjQ 
£l'rj, glcIvqoI xal d%QYi\iov£g i%Eyivovxo' 
£%oytt d' el xaX t^coov i%avxikkov \iex6%l6&ev 



BIBAION g. [r.] 59 

655 Mr]vr\g £X Zr\vog x£V£ov xul u^iuqtvqov £ly\ ' 

d£VO{l£VOl pLOTOV yUQ Uy£lQ0V6lV XUTCC CC6TV. 

£l d\ Zftog {L£V O0g5tO, Lli60V T7t£QL0V0g, 

al'yXr\ , . 
xivTQOV d' uiiylg £%co6l rodf KQOvog f)d y £ xul 

"AQr\g, 
6g ii£v VTt£QTilX&v"AQr\g di t 9 6iti6&£ dtazav, 
660 oXfiov xul xt£uvcov olxov 7tXr]%ovTu xivco6uv. 
r]v dl li£6ovquvlov xivTQOv X£V£OV A tog £l'r\, 

OL d' OAOOI £XUT£Q&£ CpUUVC06LV , T0T£ \tVr\To\ 

ov liovov iv %QV£Q7Jg %£vir\g xullvov6lv uvluig^ 
ccXXcc xu\ iv d£6{iotg &uvutov TiXog i%uvvov6iv. 
665 r\Ltog d 9 ccv TIvqo £VTog a7tOQQ£iov6u 2J£Xr\vr\ 
Sqtj i(pi67tr}TUL, 6vvucpfi (Dulvovtl 6vvcv6u, 

xivTQOV 6 1 UVT£ LL£60VQUVL0V & U i fr CO V dLi%r]6LV , 
T£QCp&ivT£g TtXoVTCO yXvX£QCO Ll£T07tL6&£ TtivOVTUL , 

ot dl xu\ iv 6vvo%f\6L xu\ iv d£6Liotg iyivovTo. 
670 si di x 9 ivuXXu%uvT£g OQOvg r\ t,cou &ico6Lv 

ccXXrjXcov TIvQO£Lg T£ xuVEQLir)g %Qv6o7tidLXog , 
6vv A lI d 9 9 H i Xiog xivTQov xuTi%cov v7toy£Lov, 

£X TtQOTiQOV (3lOTOV XT£UVCOV T UCpUQ £%£XvXl66UV , 

ftcoug t uXXotqlcov Ti%vuLg uTug % iituyov6Lv. 

675 £L dl Ll£60VQUvioVTU KQOVOV XuXrj Kv& iQ£LU 

* * * * * * 

r) <f)ai& cov , TtaTQcou pQOTog llccXu TtuvT u.7toXi66ug 
av&Lg u.7t ccXXotqlov xt£utl66£tul uqxlov oXfiov. 
r]v d 9 "AQrjg dLULt£TQog £r\ , xr]v u67t£Tog dr\ , 

ig XQV£Qr)v 7t£VLr\V TtuXtV L%£TUL , r]v TtQLV £X£L7t£V. 

680 r]v d\ xul 'H^Xico Mr\vr\ 6vvir\ xutu xivTQOv 
ixKvd-iQrjg r]Zr\vog uLiccQTVQog, uXyLV0£66u 
7tuy%v TtiXu y£vi&Xrj 7tQOTiQov Tr\TC0Ltivr\ oXfiov. 
IIuvqu llIv ix TtoXicov u\Lcp\g 7t£v ir\g Tud£ XvyQrjg 



60 MANE0SINOZ AHOTEAE2MATIK.SIN 

ri£L0 i ' uvxccq vvv d^cjcjvysvs&Xrjg tisql Is^oi 
685 Ttag xs dtccxQivsLSv ccvrjQ xccds fts6cpccxcc sidcog. 

svxs ZsXrjvccirjg xul KvTtQLdog <x6xsQsg alvol 
(&alvcov xccl FLvqo stg cc\jLcpolv xcc&vtisqxsqol slsv, 
d[icosg xccl d(icDG)v xoxscav xoiy s%sysvovxo. 

sl d' 'AcpQodixrjv [thv 0ccivo3v xccVAQrjgxcc- 

&OQODSV, 

690 Mrjvrj d av Oas&oiv xs KQovog % sjtL^iaQxvQOL 

slsv, 
8ovXo6vvr]v TtQOcpvybvxsg sXsv&sqov rjpccQ 1'Solsv. 

r]\iog d' 'HsXlovOcclvovxcc xs 7tvQcpoQog"A q rjg , 
KvitQLV d' uvxs KQOvog XQvsQuZg uxxl6lv oQcjrj, 
sx d[icj03v ysyuooxug sotg l6ov6lv uvcc^lv. 
695 sl dsKQOv<p [isv id' 'HsXlgj [iccQxvg itsloL "A Qrjg, 
Zsvg ds HsXrjvttiri xs %ccl 'AcpQoysv sZ, &sqcc- 

Ttovxog 
TtccxQog o cpvg s6sxccl, \ir]xr]Q ds x' sXsv&SQr] uvxod. 

OTtnoxs d' av xsqos66cc UsXrjvccir] vitbysLOv 
rj dvxLxov xsvxqov OLSTtr] , xsxQccyojvov sbvxog 
700 r\s XttxavxLTtSQrjv bloov Kqovov , avxccQ^AQrjog 
cc6xrjQ 6vv Hucp irjr] xal dLcc[isxQog oqojxo 
7] xsxQccyavog sol , {irjXQog TtsXsL uyLcpLTtbloLO. 

sl ds KQOvog xsvxqolo Xcc%g)v Mrjvrjv s60QO)r] 
rj Tixrjv , sxsqov 8s cpccog IlvQOSLg xa&OQrjxccL) 
705 d[ioG)v tt{icpoxsQoov xoxscov cpQK66ccL0 ysyooxcc. 

xcc\ ds xccl ojtTtox' ccv sv xsvxqgj Mrjvrj [isv STtsir], 
ccXIg) d ccvxs KQovog xsvxqgj xaxbitL6&sv s%olxo^ 
vvxxLcpccrjg ds ZlsXrjvccir] Hvqosvxl 6vvttitxoL, 
dovXo6vvr]g %vybv ccisv sit ccv%s6lv ol6l cpSQ0v6LV. 
710 si ds [is6ovQccvsoL &ccs&G)v, Mrjvr] ds % ait 

avxov 

ttQpJ iXttOL, XCCX07tL6%S <?' STtttVXsXXoVXl 6VVCC7tX0L , 



BIBAION * [r.] 61 

a6tQcov ovko^isvcov stSQoov {iaksQf\6LV vtc avyalg 
dsQxo^LEvov steqoio , yovr\v dovlsLov stsv^av. 
OTCiiots <J' dv nsvtQoov SQatr) xkLV&sl6a 2Jskr]vr\ 

715 svsQyoov ft^d' o66ov s%r\ sjiL^iaQtvQOv a6tQ(ov, 
ol d' bkool <D aCv cov ts xal"AQrjg r)s xa&' ooQr\g 
siifisfiaootsg OQOOvtat r] ooQOvb^iop tstQaycovoL 
r)s tQiycjvoL sgo6lv, sAsv&SQLrjg tbts &vr\tol 
7tav6a{isvoL SovXslov vitb ^vybv acpvoo ayovtat. 

720 d{ic5sg d' avt' sysvovto, xal OTtTtbts cpdsa dola 
Mr]vr\g xal TLtijvog a7ioKXCvco6' d%b xsvtQov, 
7] 6vvacpr)v tsv%oo6 > okosQys6LV a6tQa6Lv olds , 
\ir) /1 Log av ksv66ovtog r) a(5Qoxb{iOLO Kv& r\Qr\g. 
svt dv 6*' ooQovb\ioo OaCvoov KvTtQtg t l6o~ 

\10LQQL 

725 s^s^aootsg oQOOvtaL, dsl Q-SQaTtovtag sd-r\xav 
ov% svbg, akkots d' alloo V7todQr\66ovtag dvaxtL, 
drj&axL xal 6cpstSQ0v 7tL7tQr\6xo\isvovg VTtb TtatQog. 
sl ds xal Hs XLog tol6iv y STtLicaQtVQog slr\ , 
zal ds6{iovg or Ksv6l xaxf VTtb daC\iovog dtr\. 

730 "A6tQoov (isv dr) tola xal 07t%06a tol6LV solksv 
6%r]iiata dv6ysveoov d {icocov tsv%SL IvyQa ipvka. 

AvtaQ syoo \idla plv TtvKLvalg 7tQa7tC6LV dsddrjxa 

****** 

ya6tSQog sx7tQocpsQco6L [ioyo6tbxoL Eiksi&VLaL. 

«AA' ov k a6cpakecog tLg asCdot tr]vds y doLdqv' 
735 \kavto6vvr\ yaQ toCr\ dsl %bkog sk fia6Llr\cov 

s67tstaL, bvts %QSco 6ocpbv avsQa tfd' aksslvaL' 

tco dr) tbvds ys [iv&ov s%cov aQQrvxov ia6oo. 
AvtaQ vsLatCr\v skdoov Ttsol vv66av aOL6r)v 

r\dr\ %r\\ist SQr\g ysvs&lr\g \ts\ivr]6o\iaL a6tQCOv , 
740 f\%L nsks, %cool6C t sv olg coQr\ Ttsk' sxsCvr\, 

trj /x' aTtb ya6tQog scpr\vs nokvkkttog EiksC&via , 



62 MANE0&1S102 AIIOTEAEZMATIKSIN 

ocpQcc xal v6tatCoi6LV sit alc6vs66c daivtsg 
jtsC&covtaL, tdt £{iol dcoQrj6ato MolQa dsdd^frat 
a6tQcov Cd[io6vvrjv %s xal L\iSQos66av doLdr)v. 
745 'Hskiog \isv sr\v z/td^ttotg, tco d' av&' d\ia xakr) 
KvjtQig xal Qas&CQv SQatog xal %QV6sog 'Eq 

f TdQ0%6<p ds UskrjvaCrj (DaLvcov ts xa& coQrjg , 
jtovkvTiodrj d'"AQr}g sv KaQxCvco , a^icpl ds [is66ov 
ovQavbv s6tQcocpdto fiikog Kiv tav Qog dvikxcov ' 
750 tcog [isv i{ir)v ysvi&lrjv MolQaL dLStsxprjQavto. 

AvtaQ syco Mov6rj6L xal at&SQLOL^LV ap a6tQ0Lg 
sv^d^isvog iLyvv vpvov i{ir)v xatajtav6co doLdrjv 
cc6tSQsg svcpsyyslg, Acog alyLO%ov ts ftvyatQsg, 
XXats xal xliog alsv s[ifj JtoQ6vvst doLdfj. 



BIBAION A. 

A OvQavLCOv a6tQcov dtQajtovg, jtXa6ttyyag ^Avdy- 

wqg, 
i]6lv scprjiiSQLCQv [iSQOTtcov ysvog sx[isiistQr]taL, 
MoLQacov ts xiXsv&a /Soor^tfta, xal jtXdva cpsyyr\ 
ditXavicov % avyag jtvQtXa^iJtiag s£ovo[ir]vco , 
5 fcmdicov ts jioXolo TtSQCdQopov, og xa%d yalav 
atd-SQCrjv ts xiXsv&ov sv r){iLt[irjtL jtOQsCrj 
jtXayxtd dL%at,6\isvog dLijtst dso\irj6toQa xo6\iov 
s% f)ovg sjtl vvxta xal dvtoXCrjg sitl dv6[idg. 
tavta yaQ s% lsqcov ddvtcov cpv6cg al&SQoitkayxtog 

10 oQ&d tsx[iaLQOtiivoL6L 6lcoql6sv dvdQa6Lv a6tQa , 
olg jtXayxtr) xo6\xolo PQO%QxXco6%SLQa %0QsCr] 



BIBAION A. 63 

doyauTog i% [eaoto Oucpr\ itoog ekey%ov iovou , 
* * * * * * 

i% ov [tev kul ig olov dfieipsTut eldog eKuOxov. 



B IIqcotu uev ovv Tltuv itavxog Koovog ui&iQog 

uQ%et, 

15 uOtt\q, bv Ouivovxu &eo\ {leQOTteg re kuXovOlv ' 
ovTog, i%r\v oixeZu cpuvrj kutu d co^iu^ eavxov 
yetvo[ievoig &v7\toZOlv iTtiOKonov eig piov coqi\v, 
evnteavovg dsiKvvOt kul ohjiov TtXeiovog aQ%etv , 
emv%iug £cor\ %e kul eig xikog aiev du6%d-ovg ' 

20 eOXL cf iv OLKeioLOL xexayiieva tuvtu Kqovolo , 

t^coidL , olOTe (puvelg xev%eL 7toXv%Qr\aovug uv$Qug' 
( TdQO%6og, Tuair\g vecpekcodeog OvXvybitoio , 
AiyoxeQCog, yuir\g te kul vduTog uytcpifiiog &r]Q, 
KQtog o t ovQuviov xoQvcprjg oQog, elaQog uQ%r\, 

25 kul Zvybg aiylr\eig TtQog ZlxoQTtiov ui&eQOvcoucov , 
reTQUTtodrjg te Aicov, TtolvuOTSQog epjtvQog oixog ' 
ovtol dsl tsv%ovOl ^QOTovg svduiaovug eQyotg. 
r\v dix dvotxsiotOt Toitoig KlvToriQuovog coQr\g 
cpvoaivotg &vr\roZg [tioov ovquvov ui&SQolua7tr\ , 

30 r} Keivrjv coQr\v TtuvsitioxoTtov uucptTtoXevr] , 
Ttuajttufliug Qit,et Te kuI dxTsdvovg ku\ udo^ovg, 
ivdeiug £cor\g kuI icpr\asQir\g fiLOTr\Tog, 
kuI 7tuOr\g Xvar\g i7iifir]TOQug oixTQO{isAd&QOvg 
tsv%sl , kuI. Xv%r\g xal dkr\aoOvvi\g [iSTi%ovTug. 

35 Zsvg d' iTtl ysLVoaivoLOLV oV uv xvdoOxoitov 

CO Qf\V 

eiokevooy cpuixrovTt TtvQog ftsQaoZo OsXuO\lco, 
r\ uioov ovQuvir\g utqutiov Sqouco r\iQu riuvr\, 
r\ds kut oiKeicov TtQOcpuvrj dsOTtoOuuOt uolqcov, 
%QvooOTi7troQug uvdQug r\ uQ%teQy\ug dvTet 



64 MANE&SIN02 ATI0TEAE2MATIK&N 

40 i-GGsti&ai, %oXs\ico t£ du&vvzrJQug us&Xcov, 
r)ds [isyL6Tuvdg zs xul uXXoTQicov xtsuvl6[icov 
6s6%o6vvovg , olg tsxvu xal oX$i6Tr\ %uQuxoLTLg 
stg ccqsttjv vsvov6a %oXv xXsog s66sxai oixov. 
r)vixu d' av %.vQOSLg"A q sog %VQLXu\x%sog u6ti)q 

45 sv xa&STco xo6{iov ps6ov ovquvov u[icpL%oXsvr] , 
Trjpog 6 cpvg s6stul [isv sv r)ys\i6vs66Lv aQL6Tog , 
cpQOVQrjTiJQa 6Cdi]Qov s%cov, cpvXuxdg ts xqutovvtcov 
7tl6tlv t uXxr\s66uv' s%r)v d' slg tsq[iu Plolo 

pOLQLdLOV &UVUTOLO {toXrj %oXv%r)[lOVL %OT^CO, 

50 r} 8lcc Xul{iot6[iov cpuQvyog fiiov ul\iutl XsitySL 
> 6cpovdvXosvTu TQu%r\Xov sg iviov uxQOToyiYfosig, 

ij 8lu cpuQpuxTOLO doXov vo6sqov TsXog S%SL. 

Xu{i%Qocpur)g d' u6tt)q o%6t uv 8vvov6l cpuuv\ 

^coLdioLg, ov %dvTsg s%scpQu66avT 'AcpQod LTrjg 
55 cpco6cp0Q0V) sv tovtco ds yovug \csqo%cov TLg svsyxrj , 

S66STUL CiXXOTQicOV Xs%SCOV %UVUds6[l0g UUTrjQ , 

OQCpvrjSLg, doXosQyog, dvs6TLog, UL6%s6{iv&og , 
%u[iiIjsxtcoq, udiduxTog, usl dsdLduypsvog ui6%Q0lg. 
rjv ds Kv%QLg \isqo%cov coqo6xo%u cpsyysu Xsv66rj, 
60 ul^ivXiovg tsv%sl ts xul sv[iov6ovg xul d{JLO%&ovg, 
sx ts yvvuLXsicov %uqUcov Xua%ovTug sv oXfioLg ' 
TOVTOLg frrjXSLCOV %l6tsvstul oqxlu xqv%tu, 
OVTOL %Q06TYj60VTUL SV 0QyLuds66LV SOQTULg, 

sv&u cpvyuQ6svir\g ^v6t7jqlu tsv%st u%v6Ta ' 

65^/1/ 8' SQUTr) [IS60C0VTU XUT OVQUVOV Uv8qu6LV 

ocp&fi, 

CpQU&L TOL ftL0Tr)v ^U&V^QTJ^LOVU, %LXLu8ug TS 

ctQ%dg, xal 86%rjg u%Xstov xo6[irjTOQu xo\i%ov, 
Toirjg 8' sx TL^irjg %Xovtov %vdrjvoqa xo6\kov. 
6%iX$cov 8' r E q ft s i u o cpavslgs%\Tr)v 8v6tv a6TrjQ 



BIBAION A 65 

70 yELVO\livCOV ^QECpidV C0Q06X0%0V r\ xuxu \li6 60V 

ovqccvoVj sx xe Xoycov xev%el %goxo%r\v xlvu &vr\- 

xotg, 
xul xuXa\ioyQUcplr\g, xu\ oV sig \iov6uv %e%6vy\xul ' 
xovtcp 6' 6%%6x ' v AQ7]og srj l6o\lo lq o g uxaQ%6g , 
7] d lu \i£XQr\6r\ cpa£6tv cpaog uvxlxeXev&ov , 

75 %Xu6xoyQucpovg , %elqcov \iL\tr\tOQug uXXotv%cotcov 
%u\LfiXufiiug xsv%sl xs xa\ co%Qr\svtug tdi6&aL. 

ccucpLXSQcog Mr\vr\ d' o%6t' dv §totiQ\LOvog coQrjg 
cpcoxl UsXr\vuicp xquxstj 6xoXlco%u %eqco6u, 
xr] d'"AQr\g i6o\ioL Qa 6V at&SQog uxQO%oXsvr\ , 

80 xrjvixu xol %soXr\%xog 6 cpvg sv 6%r\\Luxt xoicp 
yivsxuL, sx%Xr\xx6g xe, 6sXr\vu£cov xs voolo , 

82 xul \iavir\g uvd\i£6xog' \ s%r)v xaxa yr\g cTs cpi- 

Qr\xat , 83 

83 dv6xv%ir\ % s%icpoLXog \ ib' iv 6 Lvis66L%s%Xr\% ^cog' 82 
r\v ds \lex' avxoXir\v \le6ov ovquvov u^icpL^oa^r] , 

85 %u\i%Xovxovg xs xi\fr\6L xul ivxQvcpiug xul i%6X(5ovg, 
•ftiqXvvoovg ds xqo%ol6l xal svxQS%xovg xu\u%Qr\xtovg' 
dvvovxog 6' u6xqolo 2JsXr\vuir\g 6 Xo%sv&s\g 
e66exul i\i%0Qir\g i\i%£iQu\iog, EQyu xe %Xuyxxu 
vuvxXr\QOV f$LOxr\v &' ULQr\6Exut, iv\£vir\ xs 

90 xo %Xel6xov %cor\g * * * 

* * * X£ dL£vd"VVCOV ()L0X£V6£L 

%ovXv%Xuvr)g yuQ e'Xl% Mr\vr\g x£Quxc6%tdog ulsl 
Xo%d xuXuvxevov6u — \iiv£t d' uvxXov\i£vog oXficp. 

HsXiov d' axu\Luvxog s%r)v %vQL\iuQ\iuQog u6tr\Q 
sig \i£6 0v 0VQuvir\g %QOcpuvr\ %VQcXu\L%sog ut- 

&Qr\g, 
95 r) yovi\ir\ coqt\ %uv£%i6xo%u cpiyysu pdXXrj, 
To^otEco xatd %coqov id' £v6t£Qvoto Aiovtog 
Kqlov % evxequolo, xul sv Al6v\iol6l cpuuv&sig , 

MANETUO. 5 



66 MANE6&N02 ATL0TEAE2MATIKSIN 

^aidiOig id Col6lv, ig rjysiiovrjCdag aQ%ag 
L<~s6&aL xal OX7j7tTQa pQOtotg fia6LlrjLa cpga&L , 

100 %Xovtov z' oXfirjsvza doLiovg r' svdaCiiovag sq6sl 
sxzog d' oix sCcjv liolqcjv ysvs&krj6LV scps6zcjg 
itXovzozoxog xzrj6tv lisv dyav 7tolv%Qrjuova zsv%sl 
xal pLOzrjv 7tlrj&ov6av aXvTtrjzov ts dCaLzav , 
ao%ag d' ovx a%SL fia6Lkrjldag ovds %-QOVL6iiovg^ 

105 rj6v%Crj 6*' dcpavstg 6xyj%zqcjv dC%a zov6ds cpvla66SL^ 
dfrkafisag z\ olxcjv ts dLSv&vvtrJQag sv oA/3cj. 



C 'Slde lisv a%Xavscjv ts %Xavrjzdojv ts xsXsv&a 
Q0[i(irjd6v TtSQL xo6liov a[iatQo%Lrj %scpOQrjzaL. 



"AXXa de tOL Xs^gj Ttakt 6rjLiaza ftsla ysvs&Xrjg. 



D 1 1 10 HvCx ' dv o q d a v %avs%C6xo%a cpsyysa Mrjvrjg 
cpvoiLsvoLg llsqo%s66lv dv' ovQavov avyd^rjzaL, 
a6trjQ d' sig dv6Lidg"A Qsog %vQLXaLi%sog sX&rj, 
iv6Lvsag ts zC&rj6t fiQozovg, dfiCovg, d[isXd&Qovg , 
xal XLzrjg %svCrjg %SQvrjzoQag, dxzsdvovg ts ' 

115 %oXXdxL xal &avdzoj xaxo\irj%avog cjXs6s Sslvcj. 



2 "Hvdsz avoL7csCoL6L zoTtoig cj Qo6xo%ov"AQrjg 
cpsyyog smzQSiprj yovlcirjv i%l ya6zsQa dvrjzcjv , 
%coX6%odag zsv%sl zs xal a6&svsag xal dcoQOvg , 
vcozd zs xvQZLOOvtag, ids tysv6zrjQag dd-s6LL0vg, 
120 xal Ttavayslg, oX(5ov zs Tto&rjzoQag dXXotQCoLO ' 
rjv 6*' STtl [taQZVQCrjv "AQSOjg iXftov6 ^AcpQodCzrj 
6[i{ia fidXrj Ttavzavysg iv rj\jLSQLvrj6L Xo%sCaLg , 
ix TtvQog av%rj6ov6L zs%vag LLsXavog zs 6LdrjQOV , 
dxcio6L QaL6totV7toig LisiiskrjLisvoL rjds xaLiCvoLg. 



BIBAION J. 67 

3 'OrtTtots d' uv 6xo7tLr)v co Qo6xo7tov co8Cv£66lv 
l26 r EQ\i£Cugxuruyr], rcp d' fj Kv&sQrj iitCcpOLrog, 

dr) rore Qr\roQug uvdQug id' iv 6ocpCr]6c xQurC6rovg 
e66£6&ut $£Cxvv6l, xal a6TQoXoyovg >d-£ocpr\\iovg , 

£V T£ y£C0{l£TQCr]6L XOL iv T£l£T fJ6LV UQC6T0Vg , 

130 £v r£ kL%oylvcpCr]6L &£cov vrjcov T£ -fr^ufO-Aotg. 

4 Z£Vg d' V7t£QOQ\luCvCOV CfOQudrjV V7t£Q U6T£QU TtU- 

TQOg 

rjvCn uv iv xuftirco xo6\iov \ii6ov u\icpL7iol£vr] 
ovQdvbv iv %aQ"vyqcp * * * 

^coLdCco, rrj\iog dh yovug \i£Q07tcov TLg iviyxr], 

£66£TUL i\l7tOQLXOV TtkoCoV CpOQT06ToXog l^QLg , 

135 vuvxlr]QOV ri%vug & 9 ulqi\6£tul, iv %Q££6Cv t£ 

7]U£QOV C0Vr]T0L6L pLC06£TUL, iQyu6Lr]V T£ 
XOLVCOVOV TtollcOV 6v6Tr]6£TUL, U6TUTU cf UVTCO 

iv &aXu\icp vv\icp£lu y£vr]6£TUL £v T£ yvvuL%Cv. 

5 c EQ{irjg d' olxucog bitor clv xuru xvxlu cpuuvd-fj, 
140 [lUQTVQLr] dh Kqovolo xut ul&£Qu rcpd£ 7t£lu^r] , 

[QrjroQug i\icpuCvov6L fiQorovg 6ocpCr] r£ XQurC6rovg,] 
£Qtir]V£lg T£ rC$r]6L xul u6rQoXoyovg tot£ -d-vrjrovg , 
%qi\\iutu d' iv %£Cq£66l xul oX$ov 7tQr\%Lug ol'6£L 
ov aovov ZlXXotqCcov xrmvcov , CdCcov dh \luXl6tu 
145 7tQ06ri]VUL, yuCr]g T£ T£\i£lv * * 

* * * * XUQTtOV 7t£QiL VCOTU. 

6 r\v d K £ H £ X r] v u C r] g ilLxodQoiiog a6rurog u6rr]Q 

EQ \l£LUV 6V\lCpCOV0V £%{] XUTU X06\10V UTUQTtOV , 

xul \iovvr] Kv&iQEta 6vvfj xulcp Oui&ovTL, 
Q£xrr]Qug %qv6olo xal 'lv8oy£vovg iXicpuvrog 
150 iQyo7tovovg 6£lxvv6l, xal iv 7tQU7tCd£66LV uQC6rovg 

£66£6&UL, &QLyXCOV T£ XUL £VToC%COV XUV0VL6UC0V 

xo6\ir\rug, auXu tol 7t£7tovr]\iivu T£%vut,ovrug. 



68 MAISIESSINOZ ATT0TEAE2MATIK&N 

7 "A q r\ g d' aiyXr\ELg oV dv avycov TIsXColo 
vsq&e cpavjj Mr]vr\g ts, Xo%£vo{ievol6l fiooToiGiv 
155 7trjQG)6iv 6Tovos66av iv 6cp&aX{L0i6L tC%k\6lv 
£66e6&aL xsvsol6l xal aii$Xv6s66av OLiC%Xr\v. 



8 Eqlis Cag cf oixsia tv%cov xaxa dcoLiaft' st 

xov 
irjzfJQa tC%t\6l Pqotcov, TLaLcovLOV avdQa, 
sl6s6d-aL tidXa dsLvd xal sig Ttavdxstav sToiiia, 
160 sv ts XoyL6tovo\jLOL6LV dsl 7toXvjtQi]KTOQag EQyotg. 

9 Zsvg d* ot dv EqlisCo: 7tQ06iiaQTVQa cpsyysa 

fidXXri , 
TtovXvnXavsig %svCr\g cpaCvst llsq6tie66l xsXsvd-ovg 
r L%e6&aL, xal XsxTQa yvvaLXCov r\66ova TtoXXco 
&r\Qr\6SLV TtaQa xvdog dvd%La %r\XvLLavovvTag. 



E 165 Tama llev coQacov 6xs7tTr\Qia ' vvv ds lls %QELi 
dxTLvr\fioXCag oqCcov t ai&coTtd xsXsvfta 
dcodsxaTrj[ioQLCOv % a6TQav xvxXos66av ivL67tsiv 
ZcodLaxrjv, i% cbv y sv s al t s %v a l ts (5Qotoi6LV 
yJ.co6tr)v ix7tXr\Qov6L l3Cov %vr\Toio 7tOQsir\v. 



F 1 170 JTQCota llev ovv 2JtCX(3cov, cpavsQog %sog, r)- 

vlxa xal Zsvg 
sig dxtiva l3Xetii\ "AQSog cpas&ovtL 6sXa6LLcp , 
r\s xaT oixsicov qqCcov TtvQLXaLLnsog 6cp%r) 
"AQSog, d&XrjTrJQag dsXXonoddg ts TtQocpalvsL 
6tSQQOtdtovg t E66E6%-aL, id' iv vixaLg lsq?\6lv 
175 6TS{i[iaTa LLVQLodo^a * * * 

* * xal svdoxLLiovvTag iv d&XoLg. 

2 dcicpco d' r]v tovtol6l Kqovov 7tQ06[idQTVQog a6Tr)( 
siv i d C o l g oQCoLg cpaLvcoTttda to^lv i7tC6%r\ , 



BIBAION A. 69 

cc6tscpuvovg tsv%st (ie'v, ccXeL7ttr]Qug 8e XQutC6tovg 
7taidotQi(lug 8eCxvv6t 8L8u6xuXCr]g te TtuQsdQovg. 

3 180 r\v 8e xul acpQoyevovg Kvtiql8 og ftoov cc6tsqu 

paXArj 
axrlg ^EQiiaavog, svuXXuy8r]v te ysvojvrut 
elg 18Cgjv oqCojv a{icpoj tQifiov ul^SQOTtXuyxrov , 
xa\ioj8ovg Avqlxcjv te [lelojv pLsl7tr]T0Qug uvdQag 
8sCxvv6lv, [iu%Alxqjvts loycov &Qu6vyloj66sug cjdovg, 

185 vupXL6Toxrv7teug re %OQOlg, mfruQrjg re pLslovQyovg y 
OQxrj&iicjv 1'dQLug re xul ev ftvpLskuLg TtQOcpsQovrug. 

4 r) vCxu 8* av Kqovlxov 6elug cc6rsQog "AQeog 

ufyXrjv 
TtoQcpvQeuLg uxtl6l xuruvTLiteQ' ulylo$oXr\6r\ , 
ql66u<t sv ullay^ol6L cpuvf] 6eXuyl6\iuTu roovde 
190 qjv oqCojv, tsv%sl &QY]vr]TOQug uvdQug cc6spLVovg, 
xedQo%uQelg, 60Q0SQyu re%vr\g xuvovl'6\iut e%ovrug, 
vsxQoracpovg, xXav6rrJQug UTtocpfrLpLsvcjv , vsxqo- 

vco[iug. 

5 rjv TIv QOSLg dvvrj Oulvovtl 6vvqjv STtCxsvrQog, 

EQ{lSLUg 8 £60{l0LQ0g S7t CC[lCpOTSQOL6L cpuuv&fi, 

195 slv QQLOLg xul xsvtqqj STtrjv 1'6%qj6l 2slr\vr]v , 
uvdQocpovovg 8qoj6lv, lr]C6roQug, spL7ts8olcjfiug, 
KSQdsog s%&qotutov ^7]Q7\roQug, Oi pu6uvr]86v 

6TQsfiXu XoAu£6{lSVOL 6XOl07tlf]C8u ptOLQUV 6qQJ6LV 
TtLKQOTUTOLg KSVTQ0L6L 7tQ06UQTr]&SVTSg SV iqlOLg , 
200 OLCJVQJV XUXCC dSLTtVU, XVVQJV #' §XXV6[IUTU 8sLVU. 

6 Zrjvu 8' 6V ccv cpusd-ovru ficclr] kupLTtQuvysrtg 

uxrlg 
Eq\ls lov, \iCy8r]v rs qluXXu\oj6lv OQL6[iovg, 
Qr]roQLxrjg cpuCvov6L Ts%vr\g 6ocpCr]g rs XQurC6rovg 
£r]lojTccg 6xofoojv ts Xoycov, vsotrrtu ts Xu\i7tQ7]v 



70 MANEQ&N02 ATLOTEAE2M.ATIKSIN 

205 yQa^aTLKrrv % a6Kr]6LV ivl GtbqvolGlv syovTag. 

7 6tCX(Icov d' EQpdcovog oV ccv KvXXrrvCov cltiTrjQ 
cpco6cpoQOV cIktlvsGGl pdXr] Kv&SQriCdog al'yXr]g, 
Tcxg t avyag i7ti%ovTsg iv ovQavcp cx6t£qosvtl 
dadsxaTrj{iOQLCOv 6%co6lv fia6LV sZXiKa, dvrjTovg 

210 yaLoyLSTQag 6sCkvv6l ^iad^r^iaTLKOvg ts (pavsl6&aL, 
Jc6TQoXoyovg, [tayLKOvg ts &vTag, ids pdvTLag 

i6&Xovg , 
Oicovo6xo7tLXOvg ts, 6acpslg #' vdQO^idvTLag sq^sv, 
olg XsKavo6K07tCr] 7tt6TsvsTaL r\ vsKvl6\iog. 

8 KvitQoy svr)g d' dxTlvag ig r]iQa itvQ6ofloXov6a 
215 d{i[iLya cpcoTl Kqovov tsv%sl [LSQOTtrjLa sQya 

dovXa &scov lsqcov ts vscoKOQa Xv66o\iavovvTa , 
vovv ts 6sArjvd£ovTa TtQOCprYTatpvTa ts ftvrrroig. 

9 'Hi X lov d ' dxTL6iv "AQr\g 7tvQLXa\i7ti6L (idXXcov, 
Mrjvrjg OQ[ic66r]g \iCya KvitQtdt xoLvd 6vv avTotg, 

220 d-rjlvTiQOvg, yovCpcov \ir]dicov dita^r\TOQag dvdQag 
yaXXo\iavslg t s66s6$aL dyvQTrJQag ts TtQocpaCvst, 
xal 7toXv7tXayKTo6vvr]g iitL^rptoQag oiKTQOKsXsv&ovg 
6v6TV%iag , Ka\iaTOv ts KaKov diadsKTOQag alsC. 

10 r]v ds ZlsXrjvaCrjv sXLKa6TSQov ai&Qo(SoXr]6r] 
225 aKTl6L %Qv6srj6L cpLXo\i\iSLdr)g 'A cpQodCTr], 

r] KOLVCog iitl TavTO TtoXov dtd KVKXa tisqco6lv 
dcodsKaTrjiiOQLOL6L) 7tQO(pr']TOQag iSQoXd\i7tQovg 
dviQag i\icpaCvov6L, Kal iv tsXstt]6lv a^C6Tovg 
{iv6TL7toXovg QSKTrJQag id' OQytocovTag s6s6&aL. 

11 "AQr]g 6*' *EQ\LsLav dia Xa\i7tddog dvTCa fidXXcov, 
231 r} 8q6[iov sig i6o\iOLQOv icov \iSTa Tovds 6sXa6\iov, 

6co[iaTO(pQOVQr]TrJQag id* £\i7taXL 6co\iaTO(poQ^ovg , 
7tXa6ToyQacpovg tsv%sl ts xal iv ipsv6Tolg TtQOcps- 

QovTag, 
Kal &soXco()7]Tag, zaKOSQyiag, dcp&LTO\iC6ovg 



BIBAION A. 71 

•235 xal xciT0vsi,di6TrJQctg iv d?.XoTQi?]6L (5Adfir]6Lv, 
tpixTag avd-QcoTtcov dLa(5Xr]T0Qag, olg to TS%va6%\v 
slg aTCatrjv doXos66av akri&sii^g Ttilag rfesL. 

12 r)vixa d' av 6vv tol6l xal OvQavidr]g KQovog 

ocp&rj 
£gkoYg>, fiaivcov ts xat ai&SQa cpaivoTtt qo\i(5co 

240 r) xatd To^otsco (3dXXrj 6sldyt6\ia \iiXa&QOv , 
r)s xat iyfivosvta fioQSiotdtrjv ts %OQsir\v , 
svfta ts UaQxrivog s6tl 7CsqI HXa6tiyya Aicov ts, 
L%&vod-r]Qsvtdg ts xal i&fiolovg dolosQyovg, 
To\sXxslg ts tiftr\6i, xal OQvi&cov TQOcpOTtOLOvg, 

•245 &r}QodLda6xaMrjg t sitL^iqtoQag r)\iSQoi66r]g , 
olg dyQirj ysvsr) TL&a6cp TtQYivvst dycoyy, 
xtrjvcov d' dyQOv6[icQv 6r]\idvtOQag s\i(3a6LXoiTovg' 
tovtcQv ovx dtv%r)g psv scpv fliog, aXX' i7ti\io%d-og. 

13 aiitvitlavr)g ds KQOvog Mr\vr\g axtl6t 7tsXdt,CQv 
250 dcodsxatr]{iOQioL6Lv iv dXXay \iol6 iv savtcov 

d%ftocpoQOvg vdQiag ts xa&aQtrJQag ts xsXsvd-cov 
d\icpodLXcov, oixtQOvg t d\LaQr]6xaitTr]Qag s6s6%at 
dyyiXXsL, Xovtqcqv ts xa&aQTrJQag fiaXavsicov , 
sv ts 7taQay%v6ir]6L \iiXrj \icoXvTa xa&iipSL 

255 xal 7tTr]vol6LV dpQCQTa xal aQvocpdyoL6L Xvxol6lv ' 
TtQog d' stl cpv60VTat rovrotg xaQ7to67toQOL dvdQsg, 
Xy]vcqv dvTXr]TrJQsg, iv vdaTL yr]Qa6xovTsg, 
aQdsvTcd cpOQpijg, Xa%avr]cpoQot , r)d' i7ti\LO%%OL 
ov&oXoyoL, yair]g ts \iSTaXXsvTal xal VTtovQyol 

260 dv67tovir]g , olg Xdsg dit ovQSog dxQOTo\iovvTat, 
yaXxog xa66hsQog ts xs?MLv6%Qo6g ts 6idr]Qog, 
TtdvTa <&-' aV ix yairjg ^iSQOTtcov iitivoca \icctsvsl. 

14 r\v d' axTig K qovlxy] xoQvcpr)v iTt^A qy]lov sX%r^ 
cpsyyofioXcov OTtTrJQa xaxog xaxov, aiyXdtpvTsg 

265 sv %' oQiotg idioc6L dvcodsxaTr]\iOQioLg ts 



72 MANE0SINO2 AIIOTEAEEMATIK&N 



6v\i\iiydr\v s%l$co6i tQLycovit,ovtL 6sXa6[ico, 
ya6tQOto\iovg^ vsxqcov te taQL%svtr\Qag d%r\vslg 
s66s6&ai cpaivov6i, xaxs\i%OQLr\g ts \iatsvtdg, 
xal {iv6aQ0vg 6r\%.tol6t ts%va6\ia6L 6r\%svovtag 

****** 

270 svfta dv6o6\iir\ ts %a\ oixtQotat SQya tsXsltaL. 

15 'HiXLog d* axapag oV av d&Qrj tbv itvQosvta 
a6tsQ* 'EvvaXioLo, &oaig axtl6L fioXavycov , 
£coLdicov tstQaycovov av ovQavos66av ataQnbv 
d\LcpixsQco TavQOLO xa\ aid-otoxoLO Aiovtog 

275 Kqlov t slaQosvtog sit co8lvs66l frQotslaLg, 
l6yvQCov SQycov tsv%SL %ovo%aixtoQag avdQag, 
b%Xo%aQstg, cpLXo\io%&a &satQO\iavovvtag^ 1%vs66lv 
at&QOpdtag, %r\xtol6t %stavQL6tr\Qag sv axQOLg, 
al&sQL xa\ yaii\ \is\istQr\\iiva SQya tsXovvtag, 

280 {iL{io(}LOvg, %Xsvr\g r' s%L$r\tOQag , vfiQLyiXcotag^ 
sv %sivr\ yr\Qcog s%L$r]tOQag , bd-vLOtvi.ifiovg, 
oQvsa yrjg , %6hog %a6r\g cc%6h6ta yivs%Xa , 
pcoQocpQovag , XLtovg^ a6%r\\iovag , ai6%QoyiXcotag , 
XQato%aXslg , d%itcovag, dsl xoQvcpf\6L cpaXaxQovg, 

285 cbv 6 fiiog %Xsvr\ ti%vr\v d%s\id£ ) ad'' stoi\ir\v. 

16 r)v 8s 6vv 'HsXlco ts xa\ "Aqsl xa\ Kv%Qig 

bcp&rj , 
6%OLVofidtag tsv%SL , xaXofid\LOvag , vipo&sv stg yr\v 
ysLtovir\ ftavdtOLO xataQQL%tovvtag savtovg , 
chv o %OQog yiOQog s6tiv, s%r\v slg 6cpdX\iata vsv6r\. 

17 tovtoLg d' d\i\iLya %cc6l Kqovov 6vvaXco\isvog 

a6tr\Q 
291 ts L%od6\iovg ts ti%r\6L , xa\ svtoX\iovg xsQa\iovQyovg 
%r\Xair\g %Xlvxrov ts xa\ svtoi%cov xavovc6\icov 
%-QLyxcov t sv&v vtrJQag , ds\ xa\idtOL6L 6vvr\&SLg. 

18 r]v d' i6o{ioLQa xiXsvfta Kv&r\QLag"AQsC ($aivr\, 



BIBAION A. 73 

295 r\£ tQiycovog iov6a xat £ufia6tv rj tstQaycovog , 
ij dtau£tQr\6r\ cpdog dnXEtov darsQt XEivco , 
aucpco d' avts tbv avtbv dua $qco6xco6l tv%ovt£g 
dcod£xatr\uoQicov iXtxbv dQouov ai%Qodovr\tov^ 
tr\vixa roi)g tEyj&ivtag avayyiXXov6tv £6£6&aL 

300 £ OQ07t6tag oivov , yt£%v%dQuovag , EiXaitLvovQyovg , 
daitvuovag %ta6ot6tv dstxcouovg , cwoAtftfrovg , 
r\uata vvxtag dyovtag vitvco u£taxo6ur\%ivta ' 
TtQog tovtotg d' iti TtovXv xaxcotEQa $Xa6tr\6ov6iv, 
%Xa6toxbuaL , vouiucov Xs%icov xX£7ttr\Q£g a%£6uoL, 

305 UOt%£Vtal UVQOEVtEg a£t\ VEOUOQCpOtVTtCOtOL , 

ua6tQ07td t £Qya isXovvt^g, dd xaxir\6t yvvatxcov 
6vu(5ovXol, doXtot, xaxo\ir\6toQsg , ai6%Qodtddxtat, 
i'd[iov£g cbv dlo%ot ftaXduovg 7tcoXov6t 6vvevvcov. 

19 OTtTtote d' dv tovtot6t Kqovov (3Xap£Qavyiog 

a6trjQ 
310 6vvv£vr\ xata %coqov dvoLXsioL6 l xsXsvftoLg , 

TtauTta&iag, 6toudts66tv OTtvto^ivovg , yovoTtcotag, 
\ir\dsa ua6%ov s%ovtag, dva6tQocpir\ t icpv(5Qt6tovg 
ixcpaivst cpv6£6%at , ktatQotQocpovg t£ ybrrxag , 
7tOQvo6vvr\g axQatovg 6r\udvtOQag, at6%£0X£Qd£tg, 
315 £%%t6tov uv6aQov u£ua%Xsvuivov r)tOQ £%ovtag y 
nauijjixtovg , aitbcpcoXa piov uv6aQC07ta yiv£%Xa. 

20 cpatvov6atg d' axtt6tv oV dv KQOvog Eig*AcpQo - 

ditr\v 
Xau7td%r\ , 6£Xa£66t cpXoybg fiaQvfiduovog oXxco^ 
A Qr\g d' ai&aXoEtg 7taQir\ 6vv tol6t dtcoyuotg, 
320 pvQ6otouovg t£v%£t, doQOEQyiag, ev t£ xaftidQaig 
6xvtsir\ ti%vr\ u£U£Xr\uiva datddXXovtag, 
%r\XvXaXovg , qcotiov t£ yvvatxcov IdQtag aisi, 
t£xto6vvr\g t aQ%ovtag, id' iv vavitr\yi6t ti%vatg 
xayxavir\g vXr\g TtsXExrjtOQag Ev^vXoEQyovg, 



74 MANEO&NOZ ATI0TEAE2MATIKSIN 

325 XuoTO\iovg te TtsTQiqg 6xXr]Qcodsog, iyQS6LoCxovg, 

7]6s Xl^O^COXTCO XULLUTCO fiCoV iftvvovTag. 

21 tovToig d Eqllucov etzI TSQLiovug r]vCx ' clv sXd-r] 
oixsCcog, sv6%r { LL0v s%cov cpuog "AQSog u6tqco, 
7tQ7]KT7]Qag 0sCxvv6l TsXcovryrdg ts ^LuCovg 

330 cpv6s6d-UL, dsivovg ts %QSUQ7tuyug iQyoXdflovg ts 
sv&sv S7ty]QSial ts xul ixdv6Lsg tsXs%-ov6lv^ 
ifjsvdoxaTrjyoQLai, ts xuTr]yoQCr]g ts ts%vu6\loC. 

22 \LUQ\iuQvyr)v d uxTlvog oV uv 6sXur]cpoQog Eqllt) 
u\Lcpl 2Js Xi]VuCr]g 6xoXlov Xu[!)Vqlv&ov oqCvt], 

335 r]s Ttslr] xutdc tuvtov sit uvTuig Xu\L7tu6L Mr]vr\g 
dcodsxuTr]\iOQlcov , uvtcotilu cpdyysu xo6\lov, 
uyQuvXovg dsCxvv6L xvvr]yr]TrJQug e6s6&ul 
UQXV61 xul 6tuXCxs66lv sv6tu&ss66l \LsXovTug , 
uC&qotoxov ts yovr]g STtL^rJTOQug tf*svTr]Qug, 

340 svdssug ts TC\rr\6L TQOcprjg xd\ivovTug iit SQyoLg ' 
7]v ds xul olxsCcov OQLCOV T\)UV6Cd6LV ull ULLCpCO , 
vXoyQucpovg uvdQug, xr]Quyysug , oXxudo%QC6rug , 

^COOTTJTtOVg , LIUXUQCOV U7t07tlu6TOQUg , SLXOVOLLOQCpOVg 
}&7]60VTUL) LLE&OOCO TS XLV06T0XCr]g TtQOCpSQOVTUg, 

345 Ttsvxrjsv ts XCitu6\iu 6vvu6xovvTug 6vv iXuCcp , 

LLO%$OV 7tL66r]SVTU 7tOVY]60VTUg 7tulu\ir]6LV. 



G23 AxTLg d uiyXr]£66u UsXiqvu Cr t g 'AcpQodCTqv 

CpCOTL VSCO f)uXX0V6U XUL "A QSL \LUQTVQS0V6U , 

uXXotqCcov &uXullcov cpuCvsL Xr]C6T0Qag uvdQug 
350 S66S6&UL , \lol%svtu Xs%r] \leXu&qol6lv S%OVTUg ' 
&r)X v d sov to 7tscpvx6g iv t]\iutl Tovds 6eXu6\lov 
TtdyxoLVOV xsQdog &r]Qr]6sTUL ccvdQu6L \il%0-sv, 
sx te %u\iuLTV7rCr]g e%el fiCov EVTtOQOv uisC. 
24 c Eq\isCov d' dxTLVsg E7tr)v K q 6 v o v uxqo(5oXgj6lv, 
bb"AQ ed t iyQsxvdoLLtov i7tr)v icpOQCQ6' inl tovtco, 



BIBAIOJS A, 75 

og ds Aicovairjg KvTtQtdog ftobv cIotsqcc fidXXr], 

zrjvixa dr) \ia%Xadag z£v%£t Ttavzola \ny£t6ag, 

xal TtOQvag ,ZQtf)ddag z' dvdQ06zQ0cpa £Qyaz£Xov6ag. 

25 r)v d' 1 6 6 \i o t q a cpavjj K v & £ q r] t d g *E q \i d co v t, 
360 dvdQ£66t %£ivoi6i xal dXXoda7tol6t \ny£l6at 

d£67toztd£g \i£ydXcov Z£ fiicov \L£Xd&Qcov z£ cpavovvzai. 

26 zbv6vv£z6v xaztdcov didz£ZQddogo^QtLtog"A Qr^g 
ovx aya&bv z£Xi6£t, $Xa$£oov d' i%\ %d6tv 0Qtv£t, 
6xvXiiovg V7tvotpav£ig, cpavza6iiazd z r\o ijtaycoydg ' 

365 xa\ dt£y£tQ0vzat v£Xvcov &d{i($r}6tv £%ovz£g. 



H 27 Al&aXoug $' a6zrjQ "AQ£cog axzt6t Z£Xr]vr]v 
cp£yyofioXcov t6oLtotQa xaz OvXvLtTtoio xiXw&a 
dv.QOzdzotg xivzQ0i6t , itQog ix$£6ir]v azi^rrvov 

&r}lvZ£QG3V ($Q£Cp£CQV Z£ XoX aQ6£ViXCQV ftiov £XX£t' 

370 ov Ltr)v £ig ftdvazov y£ 7tOQ£v6£zat £X&£6ig r)d£ , 
aQvvpivaig dh yvvat%\ ZQocpolg #' VTtofiaXX^z 

6&v£iatg ' 
xr]v iiev i7ti6xo7t£rj yeve$Xr]v KQOvog, elg £vyov r)^et 
XazQ£tr]g Ttovoevza ' A 1 6 g cf i7ttQeQxo\x,ivoiO , 
r][iaQ iX£v%-£Qtr]g e%et Ttoirrzog 6%veicov , 

375 6vXr]\t£\g yovicav, ov yvrj6tog iv LteyaQ0t6tv , 
6vv de dtcavv{itr] z£ xa\ iv dt7toXr]idt cprjLtr] 

%7]6£Zat dXXoZQiCQV yOV&COV, OV% COVTteQ £l3Xa6Z£V, 

%Qr\aa6i xa\ 6zoQyatg xa\ 7tatdo6vvr]6tv 6%rveicov. 
2S avzaQ iTtrjv y£ KQovog Mrjvrj t6oLiotQog 

v7tdQ%rj, 
380 7] dtd\i£ZQa cpavfj TtXayxzcp xo6Ltoto TtQQur], 

TtayLTtav ig ixfte6irrv ^Qecpicov yivog e66vz ixeivcov , 
cov yiv£6ig TtQog LtrrtQog iXiy%£zat dvdQa6t dovXr], 
ix y£vizov de iticpvxev iXevfteQa 8e67to6vvdcov. 
29 r)v 61 KvTtQtg zovzotg 7tQo6LiaQZVQeov6a yivrrzat, 



385 r\66ovsg in TtatiQcov [irjtQog &aXid~ov6L Xo%eiaig. 

30 r)[iog d' e EQ[isiagZr\v6g cpais66* l6o[iolqov 
0Qiir\6r\, trjpog {ihv 6 cpvopsvog &r\r\tav 
ae^ivotdvcDv yovicjv 6cp$r\6staL , ov TcatQl nr]tr t Q 
TtaQ&evog elg ftaXduovg %sv%xfr\6sTat avdQog aTtSLQog, 

390 s66stat iv ysvid-Xr\6t cpdog 6%ava6sXcpov icjad-Qcov. 
32 6%rj{ia d' "A q e v g i%\ roloiv oV dv %VQL\xaQ}xaQO(. 

d<5%r\Q 

KvTtQidi 6vvvsv6r\, exi xal Kqovov si6oQocovtog, 
7} [iera %r\Qslr\v \ir]tr\Q %atQL tovds 6vvr%si, 
r\ dta \iot%o6vvr\v doXosQyia vvyLcpsv&st^a. 



133 'HsltogdsKQovoto kol"A Qsog a6ti^ag a&Qm 
396 aKttvr\PoXir\6t cpas6cpoQOv OvXv\i%oto , 

vav6tfidtag cpaivst xal iv vda6t vr\KtOQag dvOQag 
S66s6%at, 6%acpicov ts Kv(5sQvr\tr\Qag dv%vovg, 
7tQ03taQ%ag ts vso3v , oY %oXXaKt vavcp&0Qir\6tv 
400 %siuatog 6qvv\isvov fiiotov Xsityov6i oV aX\ir\g , 
vr\%6\isvot MotQatg fiatov %qovov iv %sXdye66LV. 



K34 TlayLCpatvcQv d' a6tr\Q oitot dv %oXlolo Kq 6 vot 
'HsXiov 6slds66tv av ovQavov r\ l6o\iOLQog, 
tiqviKa cpvo\iivcrv ^Qscpicov ysvvr]toQa tcqgjtov 

405 {iTjtiQog sig'Aidr\v Tti^st vsKVo6roXog Al6a, 
%tr]aatd t s£,oXi6st natQcota %a\ %oXvv oXfiov ' 
kcu ds Ka6iyvr]torv ftavdtovg 6q6cq6l itQoovtcrv , 
%Xovtov $' iz fravaTav %oXXcov \iiyav av%r\6ov6tv 
35 r\v ds Z! sXr\vair\g azrlg l6oiJLOLQa %eXdt;i\ 

410 cpcot\ Kqovov, uaQtvg <5' s%\ 6r]\iatL tcoOs yivr\tat 
koXTIvq osLg, ur]tr\Q 7tQ0tiQr\ %atQog f L%st ig "AtOr\v, 
r\s uoyo6toxir\ 8eda'Cy\iivr\, r\ d^d vov6ov 






BIBAIOJS A. 77 

a{ip&G)6[iov &\ d yvvaiQ cpvGig xQvcpLp aXys sdcjxsv. 

36 Z s v g d' bt dv Eq \ls ia v te xal L{iSQtr)v 'AcpQo- 

d Cx r] v 

415 dxtl6LV cpad&ovGi fidXr] Xa\ntQavy&6i xo6\lov , 
avtoxa6Lyvr\tag qs%sl xsCvol6l (jQOtoi6LV 
vvpcpag 6vyysvLxdg ts, Xo%svovtaL cf ditb tovtcjv 
avdQsg TtaidsCrjg r)yr\toQsg, sv ts xa^sc^Qatg 
yQa^atLxaig 6r\{iOLO fiCov dLajtOL^iaCvovtsg. 



L37 'HsXLog d' axdpag oTtbt dv KvTtQtv "Aqsl 

xoLvcjg 

421 dxtLvr]fioXC?]6L 7tVQL^Xr\toL6L xata&Qrj, 

yvdittoQag sv6r\\jLCJv TtsitXcov , xal tsvxtOQag avtcov 
l6to7tbvovg s66s6%at, tds 6\ir]t?]Qag d^C6tovg 
7ZQr]xtrJQag t aysXr]dbv aXcjo\isvovg 6ta itavtdg. 

38 'EQ^idcov d' bitbt dv ACa xal Kqovov dyxvXo- 

\ir\t?]v 
426 dxtl6L 6tCXfiov6L cpXoybg Xa\i7tt?]Q6L TtsXa^ri, 
vrjOTtbXovg LSQr]ag, 16 s ^axoQOvg &so6sjttovg, 
yQa^atsag , ts\isvc5v ts 7tQocp?\toQag dvdQag dvtsl 
\iv6tL7tbXovg, lsqcjv ts 7tQoi6za\isvovg 6tscpavr]6bv 
430 s66s6d-at 6r\xcjv ts vscjxoqi?]6l \isXovtag. 

39 oTtTtbts 6 av Kv&sQSLav sv axtCvs66L fioXavyf^ 
'A q s d t av TtVQosvta pQadvg K q b v o g, ol tbts 

cpvvtsg 
ysLOTtovoL %y]6ov6l (pvto67tOQCag ayaitcjvtsg 
o&vsCr t g %cjQr]g ts xal olxsCr]g 6^a Ttavtbg ' 
435 XrjtpovtaL 6s Xs%r] 6C%a yQa\i\iatog , ov%l vouol6lv, 
sx \LStscjQ06vvrjg 6s 6vvavtr]6avtsg bpsvvoLg. 

40 K v n q l v 6' dcpQoysvsLav sXt^OTtoQov tsUsXr\vr]v 
7tvQ6ofibloLg dxtl6L fiaXcjv tsv%s6cpoQog"A q rjg 
tir]%avLXoi>g tsv%SL ts xal oQyavoitr\xtoQag avdQag , 



78 



MANEO&NOZ AIL0TEAE2MATIKSIN 



4-kO TSXT06VV7\g T CCQ%OVTttg , 18* CiVTodldaXTCC T8%Vfl6lV 

&avLLccTcc dttidttklovTttg, iv ttAxrjevTi ts ^vlloo 
iQyoTtovovg 7tcclttLLr\6L xccl adooTttTovg %ccl ciQlGTOvg 
cc%%-o<poQovg , kccllcctcov tb Ttovovg sig tsqi^lv ocyovTttg. 
41 TOVTOig d' EQLcsCccg cpccvloig iv 6%r\LLcc6LV 6<p&slc 
445 LLv&okoyovg tsv%sv ts tcccl ccL6%soQr\LLOvccg avdQccg , 
LLOOQoloyovg , %ksvr\g & r)yr\TOQccg, vftQLyskcoTccg , 

SV T ttQSTttkoyCri LLVdsVLLCCTCC TtOLTcCk' S%OVTttg, 
IprjCpttOJV TCCCLKTCCg TS Kttl £Jj 6%kOLO 7X0QL6LLC0V 

fioLLfir\dbv ^ooovTccg^ ttkr\LLOvccg r)g %&ovbg alsl. 



M42 *Hv ds KvTtQcg Mr\vr\ ts 6vv 'HskCcp ts %a\ 

451 [ittQTVQsg cckkr\koov LLS60V OVQCCVOV ttLLCpL7tokoo6LV , 
i)d' iv ^0Ol8Col6L 8LLLOQ<pC0TOL6L TtslcOVTCCL) 

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To%6tsoo xcctcc xvtckov r\ ig 6Ttt%vr\cp0Q0v ccyvr)v 

455 nCCQ&SVLXriV , T't\LLOg 8l8vLLCCTOKCC Cp\)6STttL ccvSqcov 

6oollcctcc xal tqlSvlloov TtaCdcov &ccvllcc6tcc ysvsftka' 
xrjv llsv Zrivl Kv 7tQLg %citc\ cpoog C6ollolqov ivs%&fj, 
ttQ6svsg s66ovTttL 8l66oI ysvsL, a\jL\LLya <¥ ccvTolg 

KOVQrj ttTt OodCvOOV TS%d-r\6STCCL i6%CCT0006tt ' 

460 OvQccvCdov 8s Kqovolo &scoQ06vvr\v iits%ovTog^ 
&rjkvysvr)g 8l8vlloov s6tccl Toxog aQ6svog ixTog ' 
iv KaxodttLiio6vvr\ 8 "AQSog xaTsvccvTLcc Mr\vr\g 
iiccQiittQvyccg cpccCvovTog , o TLKToiisvog tots &vr\zoov 
600LLCC 7tSQL66oiLsXr)g Ts%d-r\6ST0CL, skllstqcc yvlcc 

465 TtccQ <pv6LV r\LLSQCr\v dsLXvvg llsqotis66lv cc&Qr\6ttL. 



N43 'OitTtoTS d' slv c\ya\roL6L TOTtotg 6tsC%oo6l naT 

ccl'd-Qr\v 
"AQr\g itvQ6ozoKog &' sCkL^OTtoQog ts 2Jskr\vr\, 



BIBAION A 79 

xev%ov6lv GoficcQOvg 7toXvC6xoQag avdaccg vrtovQyovg, 
r)ys\i6vcov cptXCrj6L ysyr\\toxag, ayccpl ds {il6&co 
470 TtovXvTtXavslg \svCr\6tv aorjia Xr\\iax* s%ovxag, 
xal 7ta6r\g 6XQaxtrjg iitL^rvxoQccg iv 7tQOX07tf\6LV. 

44 r)v 6s Kqovov filafisQavysg ig "AQsa cpsyyog 

d&Qr\6r\ , 
dt66a d' svavXLOCovxa cpavfj 6sXayC6\iaxa xcovds, 
xrj[iog o60Lg ysvsrj \iEQ07tr\Log aQ%sxat dvdQCov , 
475 iv xaxodaL\io6vvr\ xa\iaxc6ds'C 7ta6a Plco6sl, 

vov6o\isXslg xsv%ov6a pQOXOvg , 6dvvr\6L ^vvrj&SLg , 
XLvdvvcov plafisQcov xs dv6sxcpsvxxcov xs 7taQsdQovg. 

45 Mrjvrj d' dacpCxEQCog 6xoXLodQO\iog r\vCx dv ocp&rj 
'AQSog slgxsx Qaycova TtoXov Xo%sv[iaxa pd6a , 

480 r\v d' STtl dvo\isvcp xaxd yrjg ditb xsQ\iovog al'd-Qr\g 
ZlxCXficov d\icp' avxolg rj xal dLa\isxQog OQa&rj 
^col6lco xo6\jlolo, xaxovg Xr\C6X0Qag dvdQag 
ixcpv6sL , frvQsxQcov iTtavoCxxoQag o&vsLacov , 
xksTtxrJQag cpavXovg, vvxxoTtXavsag xs Xa&QaCovg" 

485 ovxol cpcoQrj&svxsg iv aXXoxQCoL6L {isXd&QOLg 
I 313 slg 6vvo%dg r\^ov6L 6Ldr\Qr\svxd xs ds6\id, 

486 ELQXxdg d' olxr\6ov6L cpvXa66o\isvoL aXv6r\6ov , 
sv xs ^LaLoxdxco ftavdxcp $Cov ixXsb\)0v6LV , 

r\ cpovCoLg %Ccps6cv dsdaCy^isvoL ij 7tsXsxs66LV , 
r\ (5qo%ov aXyLvosvxa 6l av%svog ixdr\6avxsg 
490 Ttvsvixa Xvyobv Xsfyov6i 7tLXQrjg MoCQr\g vit dvdyxr\. 



46 [KvTtQtg d' dcpQoysvsLa Pqoxcov coQo6xo7ta 

cpiyyri 
dsQxo\isvr\, &rj6EL [isv iv slXa%CvaLg cpLXo\iov6ovg, 
rjdv Ttoxag , &La6cov xco\ia6xoQag, sx xs yvvaLXcov 
o%vsCcov 6xooyij6L xsxa6\isva cpCXxQa cpsQovxag, 

495 \iOL%sCag x dyaitcovxag, iv alg vpQLg, ov xvitQLg aQ%SL. 



80 MANE&SINOZ AILQTEAE2MATIKSIN 

47 Zevg d' otiot' dv cpaifrcov coQ06xo7tov ouua 

Taivy , 
evuoQcpovg xa xi^r]6t xa\ svtvyjag xal iTtoXfiovg^ 
sv %' aQ%aig 7tX6t6Trj6t itaTQrjg tcc fiifiata cpQovovvTag. 

48 TOVTC3 d' 6vt av "AQr\g uiyOr]v ixiX)]6t 7toQ6tatg 
500 6%r]uaTi6i] xaTa xo6uov, i%vo$Xa$iag, cp&tvoxorXovt 

v6VQovo6ovg, TtodayQovg , u%&r]uovag ccvdQag avT6l 
66666&at , xaTa utXQa v6XQovu6va SdxTvX' 6%ovTag. 

49 &r\kvy6V6tg b% yvvaixeg, 6%r\v KQovog ooqovo- 

ur]6r] , 
cpv6ovTat XauTtQai, (la&v^Qrjuoveg , oXftouiXa&Qoi 
505 a%t07tt6T06vvr\ u6U6Xr]uivat , aXXa TtQog avdoag 
Ttayxoivcog £r]6ov6tv iTtiifjoya , vvxtag ayov6at 
aXkoTQiotg fraXduotg, xiQ$6t fiiov ifrvvov6at.] 



P50 'HiXtog d' dxduag, 7tvQ06v 6iXag, r)vix' av dX&rj 
ccq66v txoig £(6ot6t xax ai&iQog r)sQ07tXayxTov 

510 facpoQirjv, &r)l6ta d' 6%r] v6oXau7tia Mrjvrjv, 
xr)uog o6ot cpv6ovTat, iv dv&Q0J7tot6t XQaTt6T0t 
ccvdQ6g, aQt6T07tovr)6g , dXsvfrBQa Xr)uaT 6%ovt6g, 
ev6r]uot y6V6rjv, dya&ol cpv6tv, d^touoQcpot , 
do^ocpoQot , TtaTQrjg xr]di6TOQ6g i&vdixatot. 

51 r\v di t ivaXXd%036t^ UeXrjvair] U6v in ccq6 6 
516 'Hd Xtog d' djtl &r)Xv 7toXv%o30t6tv iv a6TQ0tg, 

vo3%6?j6g T6 7tilov6t) xa\ ccTtQrjxTot xal aToXuot, 
7ti]Q0366t tl>v%r)g v6V6cpcouiva (3ovX6vovT6g. 

52 avTaQ i7tr)v 6tg &r)Xv xaTavrr]6036tv iovT6g 
520 ducp0T6Q0t, Mr]vr]gT6T6X66uivaT6QuodQOuov6r]c 

7tovXv7tXav6tg , %6vir]g iitt^r]TOQag dvOQag 6666&at 
avdc3~6tv, %aiQ0VTag a6t u6Ta$Xr\ua6t %a)Qr]g, 
xa\ TtoXtog 67tovdata TtQog 6&v6iovg cpoQsovTag 
r]%6a^ xa\rtufj u6U6TQrj[iiva TtQayuaT 6%ovTag^ 



BIBAION A. 81 

525 sig idir\v da 7taTQr\v tyoysQov fttov t&vvovtag , 
oixsCcov SQyoov s7tLXr\6{iovag 9 ovyl dvQaCoov. 

53 07t7t6ts d' d QGsvixolg Sl6 6ol \iCya cpsyyofio- 

Xoj6lv 
fyaidioig xata %odqov ava6tSQ0v 9 oi tot s6ovzav 
zoX\ir\Qoi 9 &Qa6vfrv{ia \is\tr\voTsg , i%&Qol svalQCJv^ 

530 itL6tozaxr\g cpLXir\g Xv\idvTOQsg , dxQLTofiovXoL , 
ov [iiav sig axQaitov (Hlotov Sq6\lov sxvsvovTsg, 
dlloTS d' aXXoir\v ^ojyjv evtqetxtov syjovTsg^ 
7tQ7]^Lag dlld66ovTsg dsl {is&odovg ts 7tOQL6Liojv , 
ix d' evv6qoov liq%&g)v ts xal ix TtaQaloLO dtaCTTig 

535 dcoLiaTa itOLiiaivov6L xal ix XLLiivcov TsXiovTsg , 
drj[io6iav teXeojv itiTtEiQaLiov rj&og s%ovTsg. 

54 ' Mr\ vrjg 8 H sXCa 6vvodov xard xo6liov i%ov6rjg 
^ojLdCco Svvovtl, Pqotoov yivog s66st davdQOV 9 

t\ xal Xv66aXir\ LiavCrj 6sdaLia6Liivov aisC, 
540 cpaQtLaxTov , vo6o&vllov 9 dsl ftavaTOLO TtaQsdQoV 
7ta6a Pqotcov t^v%r) yaQ , i7tr)v Tays xotvd (5Colo 
[ir) (pQOvir\ xara &vllov dvai6ftr\Ta ts 7taXaCr\ 
dv6xQa6Cr\ 9 TtQOTi&vrjxs, xal r\v cpdog 6{iua6L Xsv66r\ ' 
ipv%r) yaQ LLEQOTtav d[iad-r)g vexvs66lv o\LoCr\. 

55 r\v ds 2JsXr\vaCr\ xari%r\ 7td\L\Lr\va xiXsv&a 
546 6vvds6\Lov te Kqovolo, 6sXr\VLoavTa cpavsCr\ 

cpvXa Pqotojv Tads 7td\ntav , id' sidaXoL6LV 6\LOLa 9 
xal XQadir\ &s6lr\7tTa, xal dxQariovTL Xoyi6\La 
sv6ocpa 9 TtdvTa d' afiovXa xaT dv&QCJTtovg TtQoXi- 

yovTa 
550 cpoLfir\roig \lv&ol6lv a7tocp\r£yxTr\QLa XQVJtTa 
E66o{iivo3v EQycjv ts fiCov £arjg xs xsXsvd-av. 

56 r\v ds xal ai&aXosLg a6rr\Q 6vv tol6l cpavsCr\ 
Aq sog sv xvxXol6l d-oov dLvrjuaTL xo6\lov 9 
cpa6{ia6L daL\iovCoL6L 6vvavTr\6ov6LV exelvol 9 

MANETHO. 6 



82 MANEBSINOZ AII0TEAE2MATIKSIN 

555 l}>V%f\ d£QXO\l£VOL V£XQO£Ldrj) V£QT£QO\lOQCpa , 

£v %£ xaTccyy£XCr\6L &£oov \ir\vv\ia6C x ahl 
6%vcpo$OL Xv7tQov ftioxov TiXog dd-Qr\6ov6Lv , 

£idc6X(0V 6T0V0£VTtt TVTtOV dltt TtttVTOg OQQ0VT£g, 

obv 7tlttGT£iQa &icc %lxqov &tt\ifir\iittTog CCQ%£L. 



Q 57 "Aq £'C dvo\iivco \ii6ov ovqccvov r\v K q 6 v o g i l&fa 
561 £6TttL \iL6iXXr\v y£vi% , Xr\ , TL\ir\v t£ &£ol6lv 

ov%1 vi\icov, avo\iog T£ cpQ£6LV, TtXrjd-ovTL XoyL6\ioo 

ttXXoCpQOOV , dv6[lLXT0g, tt\l£TQ0£7tr\g , ttTQCCTt^Og, 

ccvTovopog, xttxod-v{iog, d^£6\iLO(pdyog , doXo£Qyog, 

565 0&V£LG)V XT£ttVCOV £7tLd"V[lL0g , OV ^Ltt TtttVTOg 

drftiOL \il6t\6ov6l Sl' dcpQ06vvr\v ccXoyL6Tov. 
58 568 Mr\vr\g £Q%o\iivr\g \ii6ov ovqccvov iv y£vi&Xr\6Lv, 
b67'EQ{i£LCcg dvvcov %£ xccl coqovo(icov KQOvog dvdQag 

£V%OttVOVg 7tttXtt\l7]6LV CCyaX\iOTV7t£lg , &£07tXtt6TttS , 

570 %ccXxoTV7tOLg zi%vr\6L xoXo66o%6vovg 7tccvccQL6T0vg 

****** 

59 Z£vg d' vipov cpOQccdrjv viov a6TiQcc op£yyofio- 

Xr\6ccg y 
coQrjv 'He X lo v {oloto6x6%ov avya£ovTog , 
ixcpccCvu y£v£r\g Pa6LXr t Ldog ccvdQccg £6£6&ccl 
xoLvcovovg \i£To%ovg rs, xccl ix 6ocpCr]g xXiog r £%£Lv 
575 QrrxoQLXolg T£ XoyoL6L \iiy £VTv%Cr\g \i£Ti%ovTccg 

OXJSOV Xttl $LOTr\V £vdttC{lOVa XCCQ%006£6&CCL. 

60 r EQ\iijg d* £Lg &Qr\v \i£Qo%o6%6qov rjvlx 9 dv £Xd"fl, 
dvvov6r\g Mr\vr\g v%6 XoC6&La TiQ\iccTcc yaCr\g, 
dviQ£g £66ovTaL flcc&v^Qrjnov^g, iv T£ TQa%itl<xLg 

580 7tL6T0CpQ0V£g TtoXLOg Ttt[lL£VTOQ£g, £V T£ T0XL6[l0lg 

xal %Q£Caig t,r\6ov6L (5Cov TtoXvv oXjiovo\iovvT£g. 

61 r]vd\Kv7tQLg XttTttyr\g r iXxr\ 6q6[iov cc6T£Q0£VTa, 
xalKQ ovog 0VQavCr\vdtQa%6v \i£6od £Qxicc fiaCvrjy 






BIBAION A. 83 

6teCQag tOL deC^eL xal dtixpovag avdQa6L vvpcpag 
585 a07toQiT] te toxoLO kiyr\ XiTCoitaida <peoov6ag. 

62 Zrjvog d' aid-QOTtlavrjg iitl vovtoig [laQtVQog a6tr]Q 
deQX&stg, alkotQicov tixvcov vno^Xrjta yiveftla 
avdQa6iv r]de yvvatQv vito 6toQyr]6L ftvQaCovg 
****** 

63 r]v d' l6oy,OLQog "A Qrjg xata6r](Lata totdds kd{iipr], 
590 cpv6ovtat \idyXoi , didv\i66tQocpOL^ aQ6evoiiCxtaL, 

[iencp6[i£V0L cpv6ecog oQ&rjv odov, ev te 7t6Xe66tv 
dklotQLaLg £tj6ov6lv dlcopevoL al6%e6cpr]aoL. 

64 bitTtote d' dv yeviftXrjv ecpe7tr\ KQOvog coqovo- 

[levcov, 
ev xaxodaLU06vvf] de HeXrjvaCrjg cpdog 6cp$f], 
W^HeXCov d' dxtlveg djtoxlCvco6 lv^OIvutcov, 
&x$e6Cr]v s%ov6l, tQacprpovtac cV vit o&veCcov. 

R 65 'HvCxa d' dvKv&eQr] e6ad-Qrj texvo6itoQOv coQrjv 
cpvoycevcoV) 6vver] de KQOvogt 'AQr\gte 6vv avtco 
cpiyyec Xa{i7to[iivco xaxoeQyic, trjuog e6ovtat 

600 e% a7tekevfteQCr]g fia6Llr]Cdog r]Ut6vdovXoL. 

66 7jv d' L66[ioiQa Kqovolo 6eka6fiata KvjtQLdog 

ocpxrr), 
Ttavdovlovg re tC&r]6LV o^olvya XatQevovtag , 
otxitcdog yeverjg te Ttecpvxotag ex yevetrjQCOv * 
ovtoL 6e67to6vvcov te TtLXQag s%ov6lv dvayxag, 
605 f£ etiQcov te dopcov etiQOtg Ttdlt dov Aev6ov6LV, 
STttdxL xvQeCatg xal Ttevtdxt xaLVL6&ivteg, 
eCg yrJQag <T r%ov6LV dva66oyevoL &La Ttavtog. 

67 HeXCov cV dxtlveg dvocxeCcog eitl tov6de 
vevov6at de6(iovg te xatrjyoQCag te cpoQov6LV 

610 avdQa6LV oCxov6(iol6l , xal euTtafov exlv6tv atrjg ? 

6* 



84 MANEO&NOZ AIIOTEAEZMATIKSIN 

xlvSvvoov xqvsqoov xs xal aXysiv.oov SLQxrdcov. 
68 xavxb %d&og xsCvol6l xal aQt,8Tat , r]v aTtoXr\yr\ 



S 69 'AvTL\is6ovQavsoov d' bitor av Kqovo$"Aqz 

lapbipr} , 
ftriQofioQov ftavaxov cpoo6lv xXco&ooa fiaQsiav 

***** * 

615 obv GaQxag 8at6ovTat 6qs6tsqol r)s Xsovrsg, 
rj 6vsg aQyLodovcsg, rj aL\iaT07tcoTLdsg cxqxtol' 
6%rj\ia6L d' sv rovroLg 6 ysycog xal %TC06Lag olxoov 
taQpSLTOo, xal 6<pdX\iaT* acp vtpr]Xoio \isXa&Qov. 



ndvra yaQ dvd-QoojtOL6L TtsXsi xard MolQav acpvxrov' 

620 cog \isv %coLdCoov xvxX^og TtOQog aC&SQa ts\ivsl , 

\iLyvv\isvoov 6TOL%rjd6v acpL6Ta\isvoov t sldooXoov, 

ovtoo xal \iSQ07toov ysvsr) xa\iaTr]dbv aXdraL , 

r} (olov rj d-dvarov di£r]\isvr] ovQavoTtXayxrov. 

Tavrd tol ovQavCoov a6TQoov 6T0i%sla Tsrvxrat, 

625 olg 6 itdXat xal 6 vvv xal sitoov %QOvog sx\is\isTQrjTai 

ix\isTQotg aioo6L, xal slg aloovag OTtrjdst. 



BIBAION A. [E.] 

XaLQOig, co TlToXs\iats , Xa%oov fia6cXr]Cda TL\ir)v 
yaCrjg rj\isTSQrjg, xo6\ioTQocpov AlyvitTOLo ' 
dfyd 6ol rdds dooQa cpsQoo fia6iXr]Cdog aQ%rjg, 
[a6TQ00v ovQavCcov ts cpa6sLg ditXavoov ts ltXdvcov ti 
5 o66a fiQOToig tsXsov6lv sitL^Xstpavrsg sv aQ%aig , 



BIBAION A. [E.] 85 

07teLQO[i8voig xal TLXTOLievoig deiloi6i, (3qotol6lv , 
Molqoov ccqqtJktol6l [iLtoLg &86{iol6l t *Avdyxr\g ,] 
vvxTag avTtvog eoov xal ev r\yca6L TtoXXa \Loyr\6ag, 
[oTtTtoog 6ol fiCflXovg , a67teQ xdpov , a67teQ hev%a , 

10 Tag 601 eyoo ite^oo xa\LaToov 6cpezeQOov (ie'y y oveiaQ,] 
ocpQa xev, o66a7teQ avtog e7tLTQ0%ddr\v HeT06tQLg 
ei'Qiqxev, Ttide TtdvTa iiaX' ccTQexecog xaTaXe%co 
Qvd-{iolg r\Q00LXol6L xal e^aiieTQOLg eitee66Lv , 
ocpQa [idd-rjg, otl TtdvTa dar\\ioveg dveQeg eLLiev , 

15 ol Xd%o[iev vaieLV ieoov Ttedov AlyvTttOLO. 



1 \'HeUov, Mr\vr\v, Kqovcv, "jQea, 'EQpea, 

Zrjva, 
f KvitQLdd t evitXoxaixov xaXr) Xeye KaXXLOTteLa. 



A 2 ^Hv KQovog 'HeX tog t diicpoo xaTC8oo6t Kv- 

&r\Qr\v, 
dv6ya[ilr}v 7taQe%ov6t xal a6Ta6Cr\v eitl XexTQotg, 
20 xal dovXaig [iC6yov6LV, haLQC6t d' r\&ea cpavXaLg 
al6%C6Toog 8Ldoa6L xaxr\g evexev xv&eQeCrjg. 

"AQr\g xa\ HacpCr\ xevTQoov oV dv oo6lv dvaxTeg 
[LOL%ovg aQTtaxTrJQag del Q8%ov6l yvvaLXoov. 
'EQ^eCag d' r\v tol6lv L6oQQ07tog dvTr\6eLev , 
25 TeQitovTai TtaCdoov %aXe7tr\ eTtl xvttqlSl xelvoL. 



A3 HelLog xIvtqol6l TtaQoov xeQoe66a Te Mr\vr\, 
6g \l\v ev aQ6evLXol6L TtaQoov , Mr\vr\ de t evaXXd% , 
yevvoo6Lv fia6LXr\ag vTteQ&viiovg Te 8vva6Tag. 
dpcpoT eQOL cpco6Tf\Qeg ev aQ6 evLXol6 lv eovTeg 
30 &r\XvTeQr\g KvTtQLdog Te xal ooqovo\lolo xaTL&v, 
aQ6evLXolg eQyoL6Lv avayxdt,ov6L yvvalxag 



86 MANEOSINOZ AT10TEAE2MATIKSIN 

teqtcsG&cu, \iiya &av\ia' yvvat^iavisg yaQ iov6at 
aQyalioog ya\aiov6LV ig aQyalir\v cpLkotr\ta. 



C4 K q i 6 v 87t07ttevcov KQOvCdr\g £7tCx£vtQog 

VTtCCQXOJV y 

35 r\ xal 6xoQ7t£tov xvavo%QOOv olxov "AQrjog, 
£6&2.6g £Cpv, Qi&t dl xal dviQag r\y£\iovr\ag. 



E 5 'Ea&Xog tcpv K q o v t d t\ g , §£&i 61 %ccl rjys^iovrjag , 
aQ%ovtdg v ldCr\g 7tdvtot£ 7tQay\iatCr\g. 



6 ^'EQiisiagicai OovQog £7tr)v tEtQaycovov 

£006LV , 

f TtoXldxi xtvdvvovg 7t£QL 6o6\iatog £vqC6xov6lv ' 
40 f i]v d' uQ a %c & dvvco6L, xaxCov£g oids, [id%L6ta 
f Zr\vog dt£Q, {ioqov alvov V7t i\LCpaCvov6i dvva- 

6tcov. 



A 7 V A Qrjg xa\ TlacpCr\ xotvr)v odov i&vvovtsg, 

Mr\vr\v £vt dv l'dco6L, Xi^og t£v%ov6* dd-i\iL6tov , 
6vyy£VLxdg d avtol6LV i(paQ\i6t,ov6L yvvalxag. 
45 r]v dl KvTtQLV xaXr)v Ttofoog KQovog dyxaXC- 

6aLt0y 
6v6ya\tCr\v xal Sv6toxCr\v Qi£,ov6i yvvaLtyv, 
ovditL xovQidiovg dvdQag xati%ov6* d%QL yrJQcog, 
ovd£ tixvocg y?.vx£Qotg £7tl %uk£6L \ia^6v £d"r\xav' 
6t£LQcod£Lg yaQ ia6Lv d%Qr\La t coqCvov6lv. 



A 8 ^AvtCov *H£ IColo cpa6Lv Iv6a6a X£Xr\vr\ 
51 \ir\ Kqovco dvtr\6£L£' tCg dv tots cpcog s6CdoLto; 
dv6\ioQog, og xaxd Ttolld Tta&cov^Atdo^ds xdtst6Lv' 
%QOLr)v \i£v cpOQiov6LV dpstQopCcov sXscpdvtcov, 



N BIBAIOJS A. [JEJ 87 

oyxovg d* d\i(pl dipag xaxoslxiag a\icpi^aXovvxat , 
55 ddxxvXa 6r\Jt6\isvot Xizto6aQxia vr\Xit Xvd-Qcp ' 

xavxa <5' dxsQ Zr\vogxs xal svTtXoxdytov Kv & SQStr\g 
s66sxat , oitTtox' ixslvot d%o6xQocpot co6t 2JsXr\vr\g. 



9 i^Egiiijg coqovo\icov Mr\vr\g \iixa xal Kv&e 

QsCr\g, 
f dwovrog KQOvldao, &scov \jtv6xr\Qia 8qco6cv 
60 f r\ \iov6r\g ditxovxat ivQQvftyioto XvQr\g xs, 
t r\s 7tdlr\v cptXiov6tv d\iv\iova nayxQaxtov xs. 

A 10 *EQ{ir\g xal Kv&iQsta 6vv dXXr\Xot6tv iovxsg 
Qi%ov6iv yiOV6r^g sittC6xoQag svcpQovag dvdQag, 
r\v Ttcog xal xsQOS66av o\iov Mr\vr\v i6Cdcovxat , 
6b r EQ{ir\g cpco6cpoQiov6av , dxaQ Xtitocpsyyia KvTtQtg. 



A 1 1 Zevg, KQovog, a\icpoxsQOt xivxQcov or ' dv co6tv 

dvaxxsg, 
av&QcoTtoig did6a6t xv%r\g ztoXvr\Qaxa dcoQa, 
xal \isydXovg Qi£ov6t, xal ig (ia6tXr\Cdag avXdg 
TtoXXdxtg qvsyxav, xt\ir\v xs cpiQov6i \isyC6xr\v. 
70 'EQiisCag&aifrcovxs \is6ovQaviovxsg sQ-r\xav 
avdQa \iiya TtXovxcp yavQOV\isvov svxsxvCr\ xs , 
xal cptXlr\v naQi%ov6t JtQog avi^ag r\ys\iovr\ag 
xal do%r\ \isydXr\ yavQov\isvov , al' xsv l'dr\at 
svxiQaov Mr\vr\v 6vvacpr\v xovxotg iiti%ov6av. 



E 12 Ildvxoxs \isv xivxQ0i6iv iitcov xoQV&aCoXog"A Qr\g 
76 xr)v TtQrfeiv %aQi%cov xold%SQ ixxsXist ' 



A13 — — — — — 
r\xot Xa%svxag r\ xixxovag r\ Xcd-osQyovg. 



MANE&SINOZ ATL0TEAE2MATIKSIN 



'H ikLog d r]v tcjSs 6WTJ, 7tvQ0SQyiag dvdQag 
q^sl yjaXxoTVTtovg , r) cpv6r]Tag vsXoio, 
80 r] fiacpiag poysQovg, r) xUpaviag 6xorosQyovg' 
ovtoi yaQ xal vvxzog dyQV7tvr]TrJQsg sovTsg 
vvxTa {isv SQya&vTai,) sv rj{iaTL d' V7tvcoov6LV. 

TtavTOTS vvxtsqlvol6l [is6ovQavs(ov Kq ovog alvbg 
qs%sl Kfj7tovQovg r)d' aQyaliovg vdQaycoyovg, 
85 qs£,sl d' vdQocpoQOvg 7toXv7trj[iovag , otd 1 ' VTtb yaCr\g 
xsv&tiojvag 8vvov6lv dsLxiog slvsxa /utf-frov, 

7] 7taVVyQOL6L T0710L6L 7taQ7][lSV0L SQydtpvTaL , 

\x,r\7toTS tojv 16lov tl xtco^isvol sx xa^aTcov ys. 



E14 'EQpsCag dLapsTQOv s%cov K q ov o v r)ds Z! s - 

Xrjvrjv 
91 i[i[iavsag tsv%sl t r)ds cpQsvopXajHiag. 



A15 'EQfif-Lug Sid^isTQOV e'x(ov Kqovov r]ds ZsXtjvtjv, 
90 nsvTQCQ&slg d' avTolg xaT svavTiov cjqov6[iolo, 

94 xal cpQsvag r)XkoCa6s, TtaQSitlay^sv ds vor^ia' 

92 sl ds Q07trjg [ir) [lOLQa tvzVi xa&itov d' aTtoxXCvr], 

S6X0TL6SV [IOVVG) xXstyCcpQOVL QSV^iaTL XsCvOVg' 

95 s6& ots 6acpQOviov6L , xal S6&' ots {iaQyaCvov6Lv. 



16 f IldvTag aTt 'H s XCo l o cpvyslv xalov, dXX' ovx 

"Aqtjv' 
t VLXtxTaL yaQ f/ AQrjg vnb avyalg 'HsXColo. 



E17 NiKccTcti d' "AQrjg avyfjoiv vn 'HsXioio, 
114 xal TtQOTiQrjv xaxCrrv s6ps6sv 'HiXtog. 



E 18 AlbslTat o'"AQr\g xa$OQcav cpdog'HsXCoLO, 
99 ovd' sti Tr)v TtQOTiQiqv s6%s xaxocpQo6vvriv. 



BIBAION A. [E.] 89 

D 19 Zsvg qs'£sl xQaTSQVTccg akaiOQooio 7taXaiOTQr\g, 

101 KvTtQLg 7C0Q(pVQi0L(JiV EV SL[XaGLV <XQ%LSQfjag, 

xal KQOVog svdo^cog dyoQavoixov iOTscpdvcoGsv' 
"AQr\g d' svTolixovg OTQaTirjg r\yr\TOQag avdQag, 
'Hslcog d' vitaTOV, Mr\vr\ di tol aQ%LOLxaGTr\v , 
lObE Qprjg xoG[xr\Tr\Qag srjg iitQLr\Os 7t6Xr\og. 



A20 AiyoxsQcp KvjtQtg ts xaVTdQO%6cp TtaQSovOa 
Ovv ts Kqovco xalZrjvl xazr)xaTa7tdvTaTiTVXTaL, 
r\v Gvvacpr\v tiqcotolo Xd[3r\ TtolLolo Kqovolo, 
"AQSog siofilityavTog oijlov Mr\vr\v lJacpir\v ts 

110 ovv ts Kqovco fiXapSQcp ' dvOTlr\(jLOvsg dviQsg ovtoi 
ixaLv6[xsvQL ftaivovOLv irjg STtl XixTQa TsxovGr\g ' 
r\v $' dxTlva XdfrcoGL 7tvQavyiog'Hs X ioLO, 
ixr\TQVLalg [xioyovT r\ TtaXXaxiGLV ysvsTr\QCOv, 

114 ovvs-Aa xr\v tcqotsqtjv Y.a"Air\v g^sgsv^HsXlov ig. 



A21 Mr\vr\ ^r\XvTiQOLOtv STtsixfraivovGa totiolOlv 
116 avTiov HsXioLO, xal coqovoixolo Tv%ovGa, 
avi^a ysvvrpSL \xovov ovvoixa, TtdvTa ds &r\Xvv, 
TtdvTa yvvaLXog s%ovTa xal aiO%sa xal cpLXoTrrra. 
r\v ds ixsGovQavir\<Daivcov"A Qr\g ts XQaTaLog, 
120 xal GTa%vv aQOsva dsLvcp aitOTixr%SLS OLOr\Qcp. 

r\v ds KvTtQLg d tdtxsTQOv s%ol Kqovov r\ds 

2JsXr\vr\v , 
"AQr\g d' r\v t STQaycovov Iqol xaXr)v'AcpQodiTr\v, 
EQixsiag d aQaxivTQOv s%ol [xioov ,r)dsxal avTog 
ixaQTVQir\v tovtco -AQvsQog KQovog d[icpL(5dXoLTo, 
125 svvov%ovg OTsiQOvg , ovt aQOsvag ovts yvvalxag, 
a%voag, aisv iovTag a7tsiQr\Tovg cpLXoTrrrog, 
sGfr ots d SQixacpQodiTov o[icovvixov a&avaTOLGLV 
****** 



90 MANEQSINOZ ATLOTEAEZMATIKSIN 

E22 "Aqris d* r}v TSTQccycovov 1'8ol %cc%r)v 'Acp Qodit r\v , 
124 \LCCQrvQir]v rovrco xccl Kqovoq d\LcpLfidXoL, 

EVVOV%OV$ GTSLQOVg OTS d' EQflCCCpQOdlTOV hsV^CCV 

128 0L66dg, d%Qr]6rovg sig sv s%ovxa cpvGeig. 



A 23 Ttog d' vlcovog rs Kqovov Zsvg r)ds xal *Eq [Lrjg 
130 ccLjLcporsQOL pccivovrsg o\iov xccl xsvrQa Xafiovrsg, 
rsv%ovGLv QrjriJQag r\ sx Xoyov r] xccXd\iOLO 
yQttitrriQttg %tvvrovg, r\ xccl %oXvxsQdsccg dvdQag^ 
s\L%OQir]v cpcXsovrag , ccsl %Qr]xri]Qccg sovrccg. 



A 24 Mr\ v rj cpco6cpoQSov6a xccVA qs'C 6v\L^dXXov6cc 
135 sxrov s%ovri roitov , 6ivog av^QttGLV ccvrixcc qs%sl ' 
cc[icpl Ttodccg rsyLVOvrccL v% dvdQocpovoLO 6Ldr]Q0v, 
%eoXoi, tiovvojtodsg, %vXivov %Qo6xsi\isvot ccq^qov , 
Xv%r\v ttisL\Lvr\Grov sbv %6dcc %cc%rccivovrsg. 



B25 'AQsg "AQsg, xccxosQys xccl ccvdQccGc xccl {iccxd- 

QS66LV 

140 xccl %6Xs6iv xccl vr\v6\ xccl r]sQL xccl %sXdys66iv 
xccl XttQitolg yccirjg rs xccl svQsi&QOLg %orcc\LOl6LV' 
slvsxcc 6sv %oXcsg \isv VTtccl 7tvQog s\L%l\L%Qavrai , 
xccl vr)sg %sXccys66Lv s%l%Xooov6cci oXovro , 
xal %or cc\lol %r]Qol6Lv ccvvSaroi sv 6ro\iccrs66LV, 

145 dsvdQsd r coXs6ixaQ%cc xccl dvsQsg aLvoysvs&XoL' 
ovg \isv yccQ \LoysQoog %vQLXccsccg eoXs6ccg ccvOQccg, 
ovg ds xccl co\LofioQOL6LV sXcoq &y\qs66lv sdeoxcig, 
ccXXov d' axXsLcog \LsrscoQov ttvs6rccvQco6ccg , 
ov rsrccr dvdQocpovoLg %sql dovQcc6Lv i]Xo%ccyr]g %siQ 

150 vr]Xss'g, ovx aQa 6oi ys %arr)Q r)v cciyio%og Zsvg, 
ovd' 'Hqyi \Lr]rr]Q, dXX ovqscc %lxqk 6* snxrsv , 
****** 



BIBAION A. [E.] 91 

E26 — — — — — — 

xa\ Av66a 6tvysQrj xa\ Xdog ovXoiisvov. 



A 27 EidsKQOvovXELipELsUsXrjvaLrj xatd \iotQav, 
tsv%SL QSviiatLXOvg rjd a6Q~svEag xata 6aQxa, 

155 tsv%SL d' aQyaXsovg vdQoya6toQag , oP xa\ STtELta 
o6tsa %avvcod-EVtsg dcp vdatog ovXo\ievolo 
syxvov co6lvov6lv sbv lioqov svtbg s%ovtsg. 
"A Qsa $' rjvXsLijja6a2JsXrjvaLrj cpOQSOLto , 

aVEQag EXtrjXSL XQVCpL\lCOV dltO TtoXXaXL V0V6CQV, 

160 rjTtatog rj 6itXrjvbg tQV%ov\iivov rj£ VEcpQolo, 
rj XQadirjv TtaQEtQLi^s vorjpova, iirjtiQa povXrjg, 
7tvsv{iovd &' iXxrjEvta, xaxrjv vo6ov av&QC07t0L6LV , 
OL7tEQ drj [loysovtsg dit07ttvov6Lv oXe&qov 
firjybg dvLatoL6LV iXavv6\i£VOL 6tQ0cpdXLy%LV , 

165 XsTttaXiot &vllol6l xa\ ddQavssg \lsXee66lv 
Ttivovtsg xa\ idovtsg, dsL&avsg rjtoQ s%ovtsg. 



A 28 "AQr\g rjiiSQLvol6L Lis6ovQavicov tdds qs^el ' 
TtQCotov liev yovicov fttov coXe6e, xa\ Xi%og avtcov 
%coql%el %avdtcp xaxcp r)s dL%o6ta6lrj6LV' 

170 avtovg d' sv %oXXol6lv syv\Lva6s 7trjLia6tv aisi, 
$XityE6LV ovXoLiivaLg ts xa\ aQyaXiaLg 7t£virj6LV , 
XLvdvvoLg, pXa(}£s66L, davsi6Lta6LV, svdsirj^LV' 

174 TtoXXdxL xa\ d-avdtco 6tvysQov &vrj6xov6L 6l6tjqov 

173 a6tsyoL r)d' dyvvaLOL dtsxvoi t sv vsotrjtL. 



E29 * * * * * * 

159 dvEQag sxtrjxsL TtoXXdxLg sx XQVcpLLicov , 

174 TtoXXdxL d' coKvuoqovg 6tvysQC0 Svolsaaa 6LdrjQG) ' 

175 Zsvg d y s6l5cov tovtcov s6&Xbv s&rjxs tiXog. 



92 MANE6SIN02 AUOTEAEZMATIKSIN 

C 30 "Aqsci d' r\v xaxi%r\ dsivbv &ebv ai&eQLog XCty, 
TtoXXcov alxiog i6xiv iv av^QcoTCoiGiv dvicov ' 
XvTtag xal ftoQvflovg, iyxXr\{iaxa xal aCvog alvov , 
7] jtdd-og * * * * 

r\ wsXayog 7tXc6ov6iv, Sr)v 7tdxQr\v TtQoXtTtovxeg. 



A31 EQfieCag, UacpCr\, TtoXibg K q o v o g r\v {iev 

e%C06LV 

181 xr)v itQrfeiv , Qit,ov6iv d\iv\iovag ir\xr\Qag, 
184 rjTtca cpaQ^ax e%ovxag, dvcodvva cpaQ\La66ovxag 

182 ei ds Zevg ioCdot^ TtoXvoX^ovg evxv%iag xe, 
TtXovxco xi\ir\evxag , dyaxXiag dv%QCO7t0L6LV. 



A 32 066ai d' dv xev e%co6Lv vtisx 6vv6Solo cpvyovoav 

186 Mr]vr\v, cpco6cpoQiov6av sx* s\i7tsdov, 0Qvv\iivr\v xe, 
Aqsl 6v\ifiaXXov6av dvr\Xh xal Kqovco aivcp, 
ipPQva [ihv cp&eCQ0v6t \LLVvvQ-ddi ol6l %qovol6lv, 
\ir\ds Pqoxcov [ioQcpr)v iyya6xQL0v av%r\6avxa , 

190 6aQ%l ds &r\QsCr\6L TtavsCxsXa Qv6xr\6a6ai 
coyLoxoxoLg codl6tv igr\sXCov cpiQov avydg' 
avxal d' d[Mpl ti6vol6lv dvr\Xia xcoxvov6ai 
elg 'A^dog xaxCa6LV dvo6xr\xoLo \iiXa&QOv ' 
el ds Zsvg i6Cdov, ipv%r)v \idXa TtoXXa 7ta&ov6av 

195 ix6co6ei fravdxoLO, xaxcov d' ovx s66sx' aQcoyog. 



B 33 TLitxe \idxr\v , dv&Qcoite , &vr\7toXisLg \iaxaQs66LV ; 

xCitxs \idxr\v XQL6ilLXXog av ovQavbv r\Xv&s xvl6a ; 

l'6%so ' ov yaQ ovsLaQ iv d&avdxoLO d-vr\Xatg. 

ov yaQ xtg Ovvaxai yivs6cv \isxaxQsiJ,>i\isv avdQCcv , 
200 r\&' d{ia vr\7tLa%OLg 6vyyCyvsxaL dv&QC07tOL6LV, 

ev&v xe MoLQacov eiXC66exai dpicpl \ilxol6lv , 



BIBAION A. [E.] 93 

xXco6\ia6LV aQQY]XT0L6L 6idr]Q£l0l0L T aTQCCXTOig. 

qe& Kqovco xal "Aq7]l xal EQ\if] xal Kv&SQsCr] 
xal ^Jd xa\ M-rjvrj te kol 'HsXCcp fia6LXr]L ' 
205 ovtoi yaQ %QaTiov6i ftscrv , XQa^iov6L xa\ avdQOOv , 

7C0VT0V Xa\ 7tOTa\LCOV TX.dvTCOV QO&CcOV aVEUCJV T£, 

xcd yr]g xaQiiocpoQOLO xa\ r]sQog dsvdoLO. 



E34 nXr]6LCpar)g KqovCcovl 6vvavTr\ 6a6a 2JsXr]vr] 
svvv%iag qe^el xa\ \1axaQL6TOTaTovg ' 

210 el dsXC^otKQOvCcova cpdsL %Xr]d-ovGa 2JsXr]vr], 
ovketl ty]v avTr)v EVTOg £%SL dvva\iLv ' 
dXXa xaxcov QSXTSlQa %iXsL XsC%ov6a %Qog avTov ' 
sxcpQOvag, aCvo\i6Qovg r] vo6EQOvg teXeG-el, 

d\k$kVTEQOV T ETEIeGGEV £\IEV fiCoV EV Ka\iaT0L6LV , 



A 35 "AQrjg xal $ai& cov xaTEvavTtov aXXr]XoL6Lv 

218 d[icpco KivTQOv £%ovT£g | avco\xaXCr\v ^lotolo 216 

216 dv&QGiitois ETtdyovGL, | xal ek cpLXCr]g iXdoovGLV, 217 

217 xal 7tQOX07tr)g 6TSQiov6LV, | s%s\ ALog s%Xsto %Xov- 

rog 218 

219 xal do&L xal 6cocpQo6vvaL xal %C6Tisg s6%XaC , 

220 ix d' "AQSog %svCr] te xaxr] ftoQvfioC te \id%aL ts, 
iyxXrpELg \i£ydXaL, %sq\ 6c6\iaTog S6&' oV dycovsg' 

OVTOL 6 EVJtOQoC eIGLV , d% £V7tOQCr]g ds TtivovTaL' 

r\v 8s\is6ov QavirjHvQOSLg, TiXog aivbv s%ovGlv. 
ksvtqov s%cov Qai&cov Mrjvr] g pbha xal Kv- 

&SQsCr]g, 
225 r)v Ttcog cpco6cpoQiov6a EsXr]vr] tco6s 6vvd%T0t, 

aQ%ovTag \isydXovg, svdaC\iovag, s\icpQOvag avdQag, 
ivdot,ovg, 6tqocpCol6l xaQTqaTa xo6\Lr]&ivTag, 
tcXovtco TL\ir]£VTag, dyaxXiag dv$Qc6%QL6Lv. 



94 MANE0SINO2 AHOTEAEZMATIKSIN 

A36 'AyicpoTSQOi dvvovTsg 6{iov K q 6 v o g r)ds xal 

"AQrjg, 

230 Mr\vr\g ^HsXCov ts xaT avTCov s6Tr\coTC3v , 
QS%ova smiavsag, %a6ag cpQsvag slolsGavTsg' 
olovTai d' ogdav vsxvcov CxLOScdsa \ioQcpr\v, 
ot ds xal svcpgovsovTsg dsLxsa 7tr\\iaT s%ovTSg 
7tCltT0V6LV 6vv66ol6l HsXr\vaCr\g VTtO QL7tr\g. 

235 r\v 6sKqovov [is66r\ ts xaVAQSog r) 'AcpQO- 

dlTT}) 

xalMr\vr\v Isv66a6i xalEQpsCav t STQayavov, 
dQco6tv cpoL^Y\Tag r} [idvTLag, ol& lsqol6lv 

s£6{ISV0L t,CQ0V6LV OVSLQaTa yLV&L%OVTSg , 

ol 6s xal sv xaT0%fj6L fi-scov 7tS7ts$r\[isvoL alsl 

240 ds6{L0L6LV psv sdr\6av sbv dspag aQQr\XT0L6LV, 

****** 

stpaTa [isv QVTtoavTa, TQt%sg d ovqt\6lv opoLat 
r i7t7tC3V xrjQOTtaysig ovlat 7tlr\Qov6L xaQr\vov ' 
ol ds xal a^LCpLToybOL6L 6Ldr\QsioLg 7tsXsxs66Lv 
sv&sa Xv66coovTsg sbv dspag al^a66ov6LV. 
245 7t A r\ 6 l cp ar) g d' "A q r\ l 6wavTr\6a6a 2JsXr\vr\, 
Zr\vbg cctsq KvTtQtdog ts, xaxr) xaTa TtdvTa tstv- 

XTat' 
filaTtTSL [isv Plotov xal 7tlov6LOV dvdQa Ttsvrvra 

Q7\LdLCDg SQQS^S, \LLVVV$d6L0V TS %Q0V0L6LV 

s%a7iivr\g a7toXs66s fiCi\ xaxosQysL MoCQr\g. 

250 "AQSogr)dsKQOvoLO ps6r\v dsCpaLvs Z s lr)vr\v, 
ovvsxsv aQyalsr\ TtsXsTat \noysQr\6L TSXov6aig ' 
tqv%sl yaQ TavTag XQvcpiybcov aTto ' TtoXkdxt $' avTovg 
caXs6sv sv %avaT0L6L $LaL0TaT0L6L palov6a , 
dtyapsvovg $qo%ov alvov , r\ aQapsvovg %Ccpog 6%v, 

255 r\ Ttvol daLopsvovg , r\ sv vda6c Ttokka 7ta%6vTag. 

"AQSog r)ds Kqovolo \is6r\ KvTtQtgov xalosQyog, 



BIBAION A. [E.] 95 

ovvsxsv ccv&oco7tOL6i xccxr) xcctk Xsxtqcc tstvxtccl ' 
LtC6ysL ycco dovXr\6tv stcclqC6lv , dg tpiXsovTsg 
t>r\Xco sXavvovTcci xaxosQysL' TtoXXdxL d' ovxoi 
260 dvsQsg oQyi.6covxsg a7toxTsCvov6t yvvalxccg, 

ccX lloqov alvov s%ov6l xaxijg Slk cpCXxQa xv&r\Qr\g. 

A 37 ZcodLov coqovollolo Xcc%cov Zsvg r\d' 'Acpqo - 

dCxrj 

"AQTjogdvvovxog dvr\Xeog r\de Kqovolo, 

* * * * * * 

7tXov6LOL iv 7CQC0X0L6L Xttl SV 7tVLlttT0L6L 7tivr\TS £ , 

265 dXX' ovx sxlsC7tov6L Ltd%ag %OQV$ovg xs dCxag ts, 
sl Lir) 7tcog Oai&cov 7tv\idxr\v Ttsol llolqccv bdsv6r\. 

sl d' "AQrjg coQr\v xaxi%OL Oalvcovxs 6vv ccvxco, 
dvvrj d' av Oai&cov xaxsvavxCov d\KpoxsQOL6tv, 
sv vsoxrjXL Ttsvrjxcc xccl sg xiXog svtcoqov dvdQa 

270 qs£ov6lv, (Sloxolo d' dvcoLiccXa SQycc xsXov6lv. 

sl ds Kqovco XttY'AQr\L 6vvfj xsqos66ccUs Xr\vr\, 
fioCQrjg svxog sov6a , 6vvtt7txr\ d' ccvxCxa xol6ds , 
evxog s%sl xccxCr\v"AQsog t r)ds Kqovov aivr\v, 
alvog t dv&QCOTtav s6sxccl fiCog r)8' sXssLVog, 

275 xccl %evCr\ xccl lioIqcc xccxrj * xccl kdxQLa SQycc 

7tsC60VXCCL , PCOXOV XS Q07trj XsCl\)0V6l %QOLLOLQOL. 



F38 'HvCxcc d' i) Ksqos66cc \ls6ov TtoXov ditcpL$s- 

(lco6tt 
vvxxsqlvov frsLiccxog xccxd llolqccv lov6a. cpccav&fj, 
HeXLog % e%ixsvTQog sv aQ6 svlxol6l totcol6lv, 

280 ySVVC06LV Pa6LXrjtt, &SOV (SqOTOV ttV&QC0%0L6LV. 

EQLisCag ds LLS6ovQavecov, Tltkv Ss 6vv 

ccvtco 
avTr\ & r\ Ksqo S66CC XCC&' coqovollolo tv%ov6cc 



96 MANEO&NOZ AIL0TEAE2MATIKSIN 

rj\i£QLVov &i\iatog , fia6LlrjCdog t6tl y£vi&lrj. 
tavta di toi taleovGiv , i%rjv i%Cx£vt qol £co6lv 9 
285 \irjdiva tcov okocov xat£vavtCov i%%Qov £%ovt£g. 



IV 39 ™Hv d' i%\ {laQtvQLfjv "AQ£cog ilQ-ova 'AcpQO- 

dCtrj 
6\i\ia fidkrj %avtavy\g iv rj\i£QLv(j6t Ao%eCaLg, 
ix TtvQog avyr\6ov6L ti%vag \iilavog t£ 6LdrjQ0v 
dx\Lo6L QaL6totvitOLg \L£\L£Xrj\Livot rjdh xaiiCvcp. 



290 'EQprjg d' olx£LQLg o%6t dv xatd xvxka cpaavftrj , 
LiaQtvQCrj de Kqovolo xat al%-£Qa tco§£ %£Xd£rj, 
dr) tote QrjtOQag ccvdQag Cd' iv 6ocpCrj6LV aQC6tovg 
£66£6$aL 6^Cxvv6l xal a6tQoXoyovg &£ocprj\LOvg. 



el 8h EeXrjvaCrjg iXLXc6%Ldog a6tatog a6tijQ 
295 *EQ{i£Cav 6v\Lcpcovov £%ol xata xo6\iov dtaQitov 
xal \lovvij Kv& £Q £La 6vvrj xaXcp (&ai&ovtL) 
Q£xtrjQag %qv6olo xal 'lvdoy£vovg iXicpavtog 
£Qyo7t6vovg §i££L xal ^coyQacpCrjg \L£diovtag , 
evcpviag ftQLyxcov t£ xal £vtv%iag xavovL6\ccov 
300 xo6\Lrjtag , \LaXa tot %£%ovrjiiiva t£%vdt,ovtag. 



Zrjva d' oV dv cpaifrovta pdXrj Xa\L%QavyitLg dxtlg 
Eq\l£ Cov, LiCydrjv t£ SLaXXd^co6LV oQL6\L0vg, 
QrjtOQag iiicpaCvov6L ^QOtovg 6ocpCrjg te XQatC6tovg 

^rjXcotdg , t£v%£L t£ Xoycov v£otrjtd t£ Xa\L%Qrjv 

****** 

305 yQa\L\LatLxrjv a6xrj6LV ivl 6tiQV0L6LV £%ovtag. 

286— 289=IV, 121—124. — 290 sq.=IV, 139 sq. — 292 sq. 
= IV, 127 sq. — 294 — 300= IV, 146—152. — 301 sq. = IV, 
201 sq. — 303=IV, 141. — 304 sq. = IV, 204 sq. 



BIBAION A. [E.] 97 

M r\ v r\ g d' d\icpixsQCd 6xoXLog dg6{iog r\vix olv 

OCp%r\ 
"Agsog dxxivs66L TtoXov Xo\sv\iaxa fiaivcov , 
2JTiX(3cov <f d\icp' avxolg rj xal didasTQog OQa&tj 
t,coidCco xo6\iolo, xaxovg Xr\i6T0Qag avdQag 
310 xal &VQSXQCQV dsLvovg sitavoixTOQag od-vsidcov, 
xXs7tTr\Qag cpavXovg vvxTOTtXavsag tsXsov6lv ' 

OVXOL <pCQQ7]&SVXSg SV dXX0XQL0L6L \isXd&QOLg 

slg 6vvo%dg 7\^ov6l 6Ldr\Qr\svTa xs ds6\id , 
siQXxdg d' olxy\6ov6l cpvXa66o\isvOL aXv6s66iv , 

315 sv xs pia d-dvaxov XsiipSL xaxosQysL fTV\tco, 
r\ 6cpayioLg %icps6LV dsda'Cy\isvoL r\ 7tsXsxs66tv, 
r\ (5q6%ov dy%ov6covxa 6V av%ivog svdr]6avxsg , 
[r) d^a XaL\iOTO\iov cpaQvyog (iiov a r i\iaTL XsiipSL 
6cpovdvXosvxa TQa%r\Xov r) iviov dxQOTO\ir\&sig '] 

320 7tvsv\id 0*' sbv Xsiipov6L TtLXQag MoiQag vit dvdyxag. 



'HsXtog ds Kqovolo xaVAQSog a6xsQag d&Qav 
dxTLvr\(3oXirj6L <pas6cpoQov OvXv\i7tOLO, 
vav6L$dxag dsixvv6L xal vdaxog r i6X0Qag dvdQag , 
7tXcQxdQ%ag 6xacps'cov , ot noXXdxL vav<p$0Qir\6LV 

325 %si\iaTog oqvv\isvolo (3iov 6cq£ov6l oV aX\ir\g 
vr\%6\isvoL MoiQ7]6LV VTtb tqo\iov sv 7tsXdys66LV. 
7ta\icpaivcov d' a6xr)Q xvavo%QcoxoLO Kqovolo 
HsXiov 6sXds66Lv dv oi)Qavbv r\v i6o\LOLQog^ 
xrpixa <pvo\iscov pQScpicov ysvvrjxoQa TtQcoxov 

330 \ir\TSQog sig*Aidr\v 7ti\iiJjSL vsxvr\7toXog Ai6a^ 
xxr\\xaxd x sxfidXXsL naxQcoLa xa\ \iiyav 6X(5ov, 
xaixs xa6LyvY\xcov ftdvaxov 6qoco6l TtQOOVTCov , 

306— 3 17= IV, 478—489. — 318 sq.=IV, 50 sq. — 320= 
IV, 490.-321-338=IV, 395-413. 

WANETnO. 7 



98 MANE0&NOZ AT10TEAE2MATIKSIN 

xax noXXcov d-avdtcov tiXqvtov \iiyav av%r\GovGiv. 
r\v de 2JeXr\vaCr\g axrig io~6{ioiQa iteXaQw 
335 qpcori Kqovov, \iaQTvg d' btu a^ati Tcpde yivrrrai 

%a\ HvQoeig, \ir\Tr\Q 7Cqoteqyj nmqbg QL%eT ig "Ai- 

dr\v, 
r]e \ioyoGT0xCr\ dedaly\iivr\ , r\ vito vovoov 
cd\ir\Qr\GL yvvaL%l cpvocg XQvcpC aXye' edcoxev. 



40 f *Hv KQOvog coQOVo\ir\ , TLvQoeLg dvvr\ de xaT 

iftvv, 
340 f alhvog oOTLg avr\Q ye $LaLOTaTov \loqov e%et. 

E 41 'H e XC cp TeTQayavog "AQr\g, Mr\ v r\ di Te & aC 

vcov, 
dovXovg itoLrpei xa\ yovicov OTeQioeL. 

r\v d* itt xa\ TLacpCr\ xaTevavTCov "AQeog el&r\ , 

***** 

%a\ Tamr\v TexQaycovog IdoiKQovog vtyo&ev eOTCjg, 
345 ex dovXcov dovXovg rfjde voet ^vvioei. 

r\ f&aid-av reTQaycovov 1'Sol Kqovov r\e TQcycovov, 

***** 

EQpeCag di t icp' cjqov6\iov Mr\vr\ Te Ovv avTco, 

evri^f g eooeiTai tovto $i\£ ex yeverjg , 

* * * * * * 

do%r\ %a\ TtXovTco %a\ cpLXCaig iieQoitcov. 
350 %a\ Zevg coqovo[Mov TLvQoeLg -fr' apa %a\ tqCto^ 

f EQ{irjg 

***** 

Mr\vr\ d e% ovvodoio Kqovov cpCXov ayxaXCoaiTo, 
ev7tQr\XTovg Qi£et %a\ [laxaQLGTOTaTovg. 



BIBAION A. [E.] 99 

C 42 Hv de K q 6 v o g 7taQodoL6LV e% "A q r\ o g xotxov 

sX&oi , 
ipv%Qog ecbv fteQiiOLO, [toXcbv xoncp ov xaXoeQyog, 
355 e66exaL av&QcortoLg TtoXXov xaxov aixiog ovxog ' 
Ivnag yaQ 6xovd%ag xe pXdfiag x a^ei ^iEQOTteaaiv. 

"AQr\g d' ev TtaQodoiGt xaxo7txev6ag K q ov o v aivbv 
e6&Xbg ecpv ' xxrjGetg d dya&cov xal vlzog OTtdt.ei. 



f EiQnrxai dQopog ovQaviog aTtXavcov xe TtXdvcov xe. 



360 f Aontov [ioi MovGai dox* ael6cu TtXeiova xovxcov 
elg exeQav $L$Xov xcode {iexQ(p 7tQog eitog. 



BIBAION E. [g.] 

'E% ddvxcov LeQcov [tifiXcov , fia6tlev nxoXepaLe , 
xal XQVcpLficov 6xrjXcov, dg r\Qaxo 7tdv6ocpog Eqjiyjs 

4 6v[ipovXov Tuvvxrjg 6ocpir\g* A6%Xr\7tLbv evQcov, 
3 ovQavCcov % cc6xqcov idiaig e%aQa%e TtQovotacg 

5 dvxixvitcp xrjQco a7tO[ia<~d{ievog , neKo^i6xat 
dvd-oXoyov [iov6rjg ftXv^ov dcoQr^ia peXi66cov , 

fi did vvzxa (leXacvav vtc ovQavicov %oqov a6xQcov 
[ioiQaLoi6L \ilxol6l XdXov xb ^d^rj^ia za&evQov ' 
ov yaQ XLg xoirjg 6ocpir\g ex e\irJ6axo xvdog, 
10 r] iiovvog I2exo6LQLg , e^iol TtoXv cpLXxaxog avrJQ ' 
ov flaLog xd[iaxog d' ovxog, nxoXe^iale , Ttecpvxev. 



Av&qcotccov yeve6eLg, dg r\QaQe {iVQiog aicov, 
eK 6xopdxcov LeQcov 6 6ocpcoxaxog elitev r 'Opr\Qog 

7* 



100 MANE6&N0Z ATIOTEAEZMATIKSIN 

%siXs6LV UyLfiQOGioiQ XUL VSXTUQST] dLCCVOLTj 

15 „cpvXXu, tu {i£v t uvsfiog ^upLudcg %isc , «AAa 6V# 

T^/U^OOiKTa CpVSL, SCCQOQ 6*' ilttyivETUL COQTT]' 

cog cxvSqcov y£V£r) r) [isv cpvsL , ^ d' ajtoAifysfc." 

,.^lolquv d' ovtlvu cpr]yLL TtEcpvypivov S{i[isvaL ccv6qcoi 

ov xuxov, ovds [isv i6&X6v, S7tr)v tcc tcqcotu yivr]TUL. i 

20 „ccXXcc tly] {iol tuvtu cpiXog 6lsXs%uto &v[iog ; " 

[IV&OLg OVQUVLOL0L CpSQCOV 7tUQi&r]x' uyslULU, 

%uXx£u %qv6slol6lv , sitsl xul doypuTu &SLU 

olu XO%XcO %QV60g TtSQLTCSL^LSVOg £0*^' , 6 ds %QV6og 
%06yLSLTUL K0%Uds66LV uX6g %SQL7tOQCpVQOV6ULg. 



25 i Ev %u6lv {iv&OLg xul tjj idir] dLuvoir] 

f SLQr]TUL TtQUTtLScOV XU[lUTOg £V6VV&STCp SQyco. 



28 + &QV <xxqlI5ovtul ds Pqotol6l tcI d6y[lUTU &ELU, 
27 f r)v d' coQr]v ipsv6r] Tt, 6vve\u)Xl6^ev utcuvtu. 



1 t 'A6TSQSg ETtTCC &£ol [ISV CCV OVQUVOV 1f]SQU TtOV- 

Xvv, 
30 t oX ^covug xuts%ov6lv uvco Tug stctcc tioXolo, 
t aicovog T£ yivog xul ql^u cpv6£cog TtoXvpoQCpov , 
t £codLuxov xvxXov 6cpuiQco^ uvu xuy%uXoco6cv 
t £tv idioLg OQioig v^co^lu6lv r)di t iv otxoLg ' 
t Z£vg,"AQr]g, Tlucpir], Mrjvr], KQovog ,"HXLog ,Eq- 



2 35 1 iv 6vvodcp . pu6cXsv, [isyuXovg 7tuQS%SL $u6LXr)ug ' 
t umixu d' iv 6vv6dco Muxsdcov pu6LXsvg iyswqxtr] , 

t OV TtLVVTULQ 7tQU7tids66LV O^LOV 6X7]7tTQOLg CCVSdSL^UV ' 



BIBMON E. [*] 101 

f xal 6v ds y sv 6vv6dco, aXX' ovx avxfj ivl ooQr\. 
f^HsXtog 6axQaitag (ts6 6ovQ av scov sjttdsC^st, 
40 f xal 6xQaxtrjg"AQr\g r]yr\xoQag olg svl otxoig , 
f sv d'"AQSoog otxotg xal Z svg d%scpr\vs dtxa6xdg' 
f xal xovxcov ds sxa6xog, or' dv sitCxsvxQaxd 

cpcoxa, 
f r\v <?' dxovcog Xsv6sts, 6vvs%c6Xt6&sv ditavxa. 



3 Slg oV dv sv (isydXotg rotg 6%r\(ia6t xaXov dd-Qr\6r\ 
45 a6xr\Q aQyaXsog, vitb (3a6xdvoo 6(i(iaxt &Qavst, 
ovxcog aQyaXsotg a6xr)Q xaXbg o^ifiat 9 sitoC6st 
r\ xsxQaycovog scbv xolg 6%r\(ia6tv r\ dtd(isxQog. 



4 'AvxoXCr\v tyvxcov xal xr]v cpa6tv sv 6wacpf\6iv , 
vvxxsQtvbv dsCpatvs Kq ovoy xal scoov"A Qr\a' 

50 aQ%al yaQ xovxcp Ttdytitav TsXs&ov6tv dr\dstg. 
cog TtvQog at&oyLSvov 6xvysQal cpXoysg st6tv sv vXr\ 
Aa/3o' STttytvoytsvov * * * 

* * * xal 6fisvvvxat sv&v TtaQ^ dxitrjv, 

* * * * * • * 

r\v d' s6Cdr\ TIacpCr\v, ov [taCvsxat, aXXd xsvovxat. 

xov 8s K q 6 v o v xaQfist atsl xaxd itdvxa x sXsvxrjv' 
55 ifjv%Qog yaQ xs jtsXst * * 

* xfjds KQOvoiO fioXr) xal itr\yvvxat cctsl 

o^ifiog' st d' d[icpco oV SQtv Ttsol xsvr qov sco6tv , 

sv-d" 9 dxaxa6xa6Cat xal 7tr\\L sitl itr\\jbaxt dstvoo. 

r\v 6xsC%oo6t $' o(i ov 6vvo8otg r\ stg sva %ooqov, 

svxQa6tr\ %aCQ0v6t xal ovxsxt dr\Qiv syov6iv' 
60 ftsQitoxaxog yaQ soov ^v%qoo dvaxCQvaxat "AQr\g , 

fvxQOxdxr\ dh KQOvoiO floXr) vjto^dXitsxat "jloet. 



102 MANE&SINOZ ABOTEAEZMATIKSIN 

5 MeiXC%iog KoovLdrjg xazd Ttdvza Kqovoo 

6vvodevoov 
6vv z ' aatQOig 7ta6iv , 7tXr)v 'He XCov xaxoe Qyov, 
6vv xeCvoo yccQ eoov Xvei TtazQootov oixov 
65 xal cpvyddag zev%ei xal evl %evC%6iv dXr]tag. 

6 'HeXiog HacpCr] xoivov\ievog e6zi xdxi6zog' 
£rj?.0V) dv6ya[iCr]V) eyxXr\\Laza, v(5qlv, avdyxrrv, 

xal tyoyov ev XexzQoig, a6%r]\iovd t' dXXo7tQo6aXXov 

* * * * * * 



7 Kal dvvoov KqovC5 )]g r) xal vitoy e tog vit- 

dQ%cov 
70 XayLTtQoxeQag TtQifeeig elv aXXod aitol6i %6itoi6iv , 
evjtoQCrjv drjlot ze xal 6ifjCzv%6v ziva 7tC6ztv. 



8 ^Hv 6' e6oQrj UzCXpovz' "AQrjg ezl zeQ\iazog 

acrjg, 
&Y]6avQ0vg eitedei^e^ xal ex %&ovog oXfiov edooxev. 

9 "A6zoQyog fi-v\ioi6tv del oXooozazog "AQr\g 
75 \ii] xa&oQoov KQOvCdrjv, \ir]d' evitX6xa\iov Kvfte 

q eiav. 



I 



10 Ovzog yaQxaxog e6ztv, ozavd' eitCnevzQog odevoov 
o66* ave%oov Xev66t] xazaXa\i7to\ievr]v'A(pQodCzr]V) 



* * 



11 ndg a6zr]Q TteXez' r)e 7tavrj\ieQog r]e 7tovr]Qog 

ev yevef]' cpavXog d' oze oi 7taXCvoQ6og e7ta%&elg 
80 elg CdCiqv %ooQr]v avzog xaz* e7te\i(oa6Lv eX&ot. 



BIBAION E. [*.] 103 

12 'AQyaXicov a6XQCov 8v vaxcog yiyvoo6xs xd8coQa. 



13 iv 8s xskvomjl [lovocg dyvco\iovsg sl6l doxiJQsg' 
xal 8l86u6l yovr)v i8s TtsvxfL^ov 6\i\ia6t 8dxQv. 

IV. 14 "AQr\g xal Hxilficov ,, 6v\icpcova xa xivxQa Ka- 

%6vxsg, 

85 viprjlovg, 8Qr\6xag, \isyalocpQovag r)8s ^Laiovg, 
Ttxaiovxag x6l\ir\ xal 6cpallo\iivovg inl 86£,r\ ' 
r\xoL yaQ xoXa6sL 6vvsXavv6\isvoL fisfiaQryvxaL , 
7] dloyovg \ii\iipSLg V7tsvsyxd\isvoL 7tS7tdxr\vxaL, 
r\s 7tdxQr]v cpsvyov6L 8lcox6\isvol TtaQ* sxa6xa. 

90 r\v 8s K q 6 v o g xovxcp xcp 6%r\\iazL paQxvg i7tik&r\, 
xov 8Qt\6\i6v Xv6ag 8o\av 7taXivoQ6ov s8coxsv, 
xal %sl\lcovl TtLXQcp yXvxsQr)v iiti%svs yaXr\vr\v. 



15 'EQiistag xaxoxs%vog 6\iov xal 7tVQ()6Xog"AQr\g, 
r\ 8vvovxsg 6\iov r) xal VTtoysLOt iovxsg, 

****** 

96 olficp yaQ 7ti6vvoL xal xsv%s6l %coQr\%$ivxsg 
95 ilni6LV a7tlr\6xoLg \isydXag aQ%dg \isXsxco6lv ' 

97 ovQavioLg 8' a6xQ0Lg \iiy asLQO\isvoL dxcovxat, 
7)8' a6XQCov ipav6avxsg sr)v 8l& 7ti6xcv a7ti6xov 
ovQKVifjGL fioXuis a>g ccGtsQsg dcpvco sXa^lpaV , 
ovQavir\6L fioXatg cog a6xsQsg r\X$ov V7t 0Qcpvr\v. 



1 6 Kal Uacpir\ 8vvov6a xaxr\, cog XoiyLog "A Qr\g' 
101 aXX' 6 \isv dlyvvsL ipv%r\v xal 6co\ia Pqoxslov, 
r) Uacpir\ 8s TtLXQr) xal (3a6xav6g s6x' ijcl XixxQoig. 



104 MANE6SIN02 ATIOTEAEEMATIKSIN 

17 ( EQ[irjg %a\ HacpCr\ idlaig ^ioCQr\6L xa%SLvo\ 
%VQO[isvovg xscpaXag iu'{iovg '6%Xol6l ysXoCoov 

* ***** 






18 Ov xaXog i6XLV "A Qr\g v.al iits\i$aCvcov 'AcpQO- 

d 1X7]' 

106 t,r\Xovg yaQ xsv%sl cpoflsQOvg, xal cpaQ^iaxa dsLvd, 
%a\ XQVcpL[ia 6xo\id%cov aXyr\iiaxa xal vo6ov aQ&QCOV. 



19 "HpeQog i6xLv"AQr\g i%\ xbv ACa Ttdvxox' axev- 

tQog. 



20 Av%Lcpar\g d' dya&r) xaxa Ttdvxa Ttecpvxe Ze- 

Xr\vr\, 
110 r\v cp e v y o v 6 a K q 6 v o v inl xov A Ca TtQooxovXxrrxvx 
xa\ Xet7tov6a xaXr\ , oitox dv HacpCr\ 6vvodevr\' 
peiov d' r\ [iel£ov \ie6xr) 7tQog"AQr\a xaxC6xr\. 
HXr\6Lcpar)g Mr\vr\ i%\ xbv Kqovov e6x\v d q C- 

6xr { ' 
TtXovxov yaQ TtovXvv 7taQe%eL, aXX* ovx in\ do%r\. 



21 HXr\6 LCparjg d' dxxl6Lv ditoQQeCov6a Kqovolo 
116 ipv%atg 7tXat,o\jLSvovg , i^L6xa\isvovg dLavoCrjg, 
6aQxcov «jj idCcov aTtoysvo^isvovg, lsQot6LV 
&v\i<p [iOQ[ivQOvxag iitCtyoyov elg vo6ov OQyr\v^ 
fico\ioX6%ovg & LSQstg , XL^ialg %sCy\6l %Qocpr\xag. 



21 'HsXlov Mr\vr\ bitox' dv 6vvacpr\6L xa&svQOL, 
121 aQxf\6LV TtXovxov 7taQS%SL itevCrvv iitdyov6a ' 

ovx l6lxy\v yaQ s%sl cpa6i,v r) &sog, dXXa xlv avyr\v 
%sCqov' aTt 'HsXColo davsC^sxaL, ov \lovl\iov cpcog' 
Mr\vr\ d' cog 6%o\ievr\ TtSQ a7tooXs6sv , o66ov sXy\6lv , 



BIBAION E. [g.] 105 

125 ovtco Kccl tiXovtco %evir\v e%e%-r\Ke cpeQOV6a, 
avTLTVTtco veLis6eL aTtodcoKaLisvrj to ddvsLOV. 

23 2Jvvds6Liog Mr\vr\g 6 Xocoxaxog eGti (>qotol6lv ' 
Krjv Xv6r\ de cpa6Lv tcc %eXe6LiaTa y' , ovtog etpv6ev 
itTCoypv , %eQvr\rr\v TaXaTteiQtov r)de % aXr\Tr\v. 



24 'HeXiov KevTQ0L6Lv"A Qr\g d LaLieTQog VTtaQ%cov 
131 TeKVOLg Kal yevhr\6L Lid%ag r)d a6TaTov OQyr\V 
Kal d La{ieTQog "AQr\g evQcov LioiQT\6L 2JeXr\vr\v, 
6e6Lid, ($QO%ovg, eiQKTag, TtoXeLiovg, a6%r\Liova d-corjv ' 
r\v d' ccTtoKe vTQog AQr\g liolqcov idicov dtaLie- 

TQog, 
135 LiLLir\Xag Teyyag, KaLiaTovg TtVQog rjde 6tdr\Q0V 

Kal Hacpirj d LaLtSTQog "AQr\g ov 6cocpQ0va liol%6v. 



25 * * * * * * 

KaLiTtTOLievoLg t,c6oLg ot dv evQr\6r\g Ttore cpcoTa, 
^58'Eqli eiav 6Ke7tT0v, | Lie&odeveTaL el tot eKelvog 139 

139 6%r\LiaTL Trjg Ua cpir\g' \ ftrjXvvoiievog yaQ eKelvog 138 

140 K06LielT aQ6evo$r\Xvg ecov 7te7tXoL6L yvvaLKcov , 
Kal tovtcov %aQL6LV daLiva &VLie'Xr\6LV eQa6Tag ' 
el de yvvaLKog ffl, tioXvkolvov erev%ev haiQrjv, 
Liov6<pd6v, 6o^aQr\v^ TtoXXovg Tr\K0v6av eQa6Tag. 



26 Ei d' "AQr\v VTtoyeLov e%cov cpaivoLro TLg dvr\Q , 
145 Kal 6vv Toode yevoLTO iofiXecpaQog Kv&eQeLa, 
KaXofidTr\v 6%oivoL6i t eit r]eQocpoLTOv e$r\Kav , 
iKaQov ald-SQLov TtTSQvycov di%a Kal di%a ky\qov' 
r\v d s6idr\ Tlt^v cpasftcov^ S7t\ yatav dcprJKav. 



106 MANE&SINOZ AIIOTEAEZMATIKSIN 

27 *Hv d' EVQrjg Mr\vr]v alsl dvvov6av icp' vyQotg, 
150 TCQog Kqovov iQ%o\iivr]v r\ Qvvov6av xd ^oQSta^ 
avd-Qditoi ftvvovoav OQcovxaL vavxiXoL vyQr\v, 
obv odog iouv vdcoQ, ol d' ccGxsQeg el6lv odrjyoi , 
i]vLoyoi d' dv£\iOL, xal xv\iaxa \iaxQa xiXEvd-a. 
r\v #' i6ior L g ^cootg ivoXc6d-rjQol6txa xivxQa , 
155 KaQxivcp, Tdoo%6cp r)d' 'Iy$v6i xol6iv dcpcivoLg, 
dvvovxag xa& vdcoQ dE6\i£vo\iivovg #' vjto \ia£cov 
****** 

xvavico TtEXdyEL d' V7tovr\%£xaL , r]vxE dsXcpiv, 
6cp6yyovg ix (Sv&icov 7tovXvxQr\xovg dvEQEvvcov. 



28 'Ev d ' IdCoig ov6rjg Hacpir]g d\ia EQ\idcovL, 

160 r} xQrjxolg xaXd\ioLg vito 7tv£v\ia6tv a6\ca \i£X<pd£i, 
t\ vo\iico 6vQLyyL cpiXrrv XEcpaXr)v i7tL6£L£i, 
aXXco d' ix 6xo\idxcov xsXad^i \ivxr\\iaxa 6aX7tLy% , 
oo d' a6£L xi&aQLg VEVQEvdEXog iv 7taXa\ir]6LV , 
aXXco d' aQ\iovir]v %aXxco\iaxa 7tXr\xxd TtaQE^EL. 

165 aXX' or' dv r) nacpirjEQ \if\ 6r£i%ov6a 6vvoLxf\, 
'EQ\i£iao x6tiol6lv dyaXXo\iivr] , inl %coQr] 
aloXXuv \iOQCpdg r\ %Qc6\ia6L xfjdi y eScoxev 
t\ 7toXXol6L \ilxoLg r} 7tXa6\ia6LV r\ TtoxE xrjQCO. 
r\v d' indvco cpEQExaL \i£xd 'H EXioLO 2J £Xr\vr], 

170 r\vio%og xa\i7txr)Qa dL£Q%6\isvog, cpLXovuxcog 
L7tra\iivcov TtcoXcov X£XQat,vyov aQ\ia Slcoxcov, 
xa\ vv66r] 6VQdr]v ijttvixLOv XitTtov iXavvcov. 

r\v 8e Z!e Xrjvair] vtyco\i' dvL0v6a 6vv EQ\ifj 
av%Lcpar)g xaxidot xXvxov 'HX lov 'SlxEavixr^v , 

175 l\co ^Q^a^EWjV xi%vr\v xaXd\iOLg t' dvacpaivu, 
xal xavxrrv iQrfe coxvTtXEQog ov txoxe XEijtEL. 

"AQEa d' eI yvoir\g dxQovvxxLOV 6fiQL\iO£Qy6v , 
xal 6vv xcpde Kqovov xe xal EQ\isir]v TtaQEOvxa, 



BIBAIOJS E. [*] 107 

aQa\i£VOt 7taXd\iatg vitb Tv\i7tava cpa6yavov o%v 
180 \it\iovvTat dv6ayr\ Kv^sXrjtov £v&£Ov"ATTtv. 
r\v d'"AQr\g ^cootg i%\ cpcoX£vov6t %a xivTQa 
%vva Zrjvl luyav xaTCdr\ Kqovov 6v& VTtoystov, 
Qt£oTO[iovg T£v%si) 7taQa^aXXo\iivovg , inaotdovg^ 
%r\TOvvTag O-dvaTov xaxodaC\iova xal \ioqov avTcog 
185 doitidog atvopavovg 7tXaTvav%£ vog , r)d' do' i%tdvr\g 
dtijjddog aL\iofioQov cpopEQOv ftdvaTov TtQOxaXovvTag, 
TavTaAixri xoXa6Et vito ya\icpr\Xf\6tv odov6tv 
Ibv iQSvyo\iivr\g iiticytyiov a6&\iaTt dstva. 
Ei d' av£,ov6a tv%t\ \is66ovQaviov6a UsXr\vr\ 
190 xal 8td\i£TQog"AQr\ g 6vv t 'HsXCco VTtoysiog, 
cpQvyo\iivcov 6aQXcov V7tOTr\xsTat £\t7tvQog dvr\Q. 
xal dvvcov IIvQostg, bitoT dv KQovog coqovo- 

[ii\6r\, 
6aQxofioQOig &r\Q6lv 7taQi%st ysvvco\isvov dvdQa' 
r\ yaQ vbg xaTtQiOto viti6Tr\ Xsvxbv bdovTa , 
195 r) yva\i%ToC 6cp' bvv%sg Xatpbv dtoQv^av 6qe66lv 
7toQddXiog 6TiXTr\g r)s pXo6vQoio XiovTog. 

r)vCxa d' r) fia6CXsta \ii6r\ 6vvi%otTO HsXr\vr\ 
"AQSog r)8s Kqovov 6vXXa\i7to\iivr\ t6o\iotQog , 
tco \isv sdcoxs Pqo%ov, tco d' av fiv&ovy co ds \tsXd- 

&QCOV 

200 itoXXdxtg r\ 7tTco6£tg r\ %co\iaTa itQ06xvXt6a6a 
xXr\Cdcov ditiQrfeE pCr\ ^vv^Xco^ivco o6rd. 

29 f Mr) Xad-hco 6e K q 6 vo g t6o\iotQr\6ag ^AcpQO- 

6 CTr\ , 
f Tixvco \isv tev%cov UsXo7tr\tov r)s ®vi6Tr\v , 
\ r\s xal slg aXXr\v a6s$f\ vibv'loxa6Tr\v ^ 
205 t itoXXdxi dl itQoyovovg xal \ir\TQVtf\6tv £\it$£V , 
t r)d£ xa6tyvr\Totg iitdyEt b\xoyd6TQtov £vvr\v. 



1 08 MANEOSINOE ATIO TEAE2MATIKSIN 

f ivfrdde ^ot, j3a6LXev, rcp 6%r\\iarL yCyveo \iaQrvg, 
t yvcoQC^cov yevefj rovg J AQ6Lv6rjg v\ievaCovg. 



30 XaCgeLTot, Ttrav \Cev eit aQ6 ev lxol6 ltotcolGlv, 

210 yrjfreL d' av Mrjvrj TtdXt O-rjXvr e qol6 lv ev olxoLg. 

el d' d \i cp co rovrovg evl frrjXvr £qol6 l xa&ev- 

QOig, 
evvovyov 6v voec raXaiteCQLOv rje xCvaLdov, 
faroig, rjXaxdraLg \iL\iov\ievov eQya yvvacxcov. 

elcTeyvvalxa XdpOLg elv ccq6 evLXol6tv e%ov6av 
215 Mrjvrjv^HeXLOv re, voeL rb 6%rj\i o tl drjXol' 
ccv6qcov eQya reXe66e yvvai%i 6vvevvdtlov6a. 



31 NvxreQLvog de KQovog bitorav vitoyeLog v%aQ%rj^ 
xal de r "AQrjv e6CdoLg ye \ie6ovQaveovra dvcod-ev, 
aitXco6ag 7taXd\irj6LV eitl <~vXov vipo&L 6co\ia 

220 olcovol6l floQr)v eitavLitraiievoLg ejtedeL%ev, 
\ioCQrjg vevQoro\iov e6cpLy\ievog dxQa 6idrjQcp. 



32 f Tr)v Mrjvrjv 6xe%Tov, ei Ttrrjvog evl olxcp 
t xrjv evQrjg rovrov cpcoXevo\ievov dLa\ieTQOv, 
f xal cpvyddag 6v voec xal dTL\ir\rovg d^d Ttdvrcov. 



33 Av%LCparjg Mr\ v rj &eQ\cbv dLa\ierQov"A Qrja 
226 rjv TtQocpvyyi, XCrjv i\)v%Qr\v r dxrlva Kqovolo, 
Zevg de TQCycovog erj ev 6%rj\iarL rcpde ye \iaQrvg , 
rbv fiCov avrbg e%cov r] xa\ xa&oQcov dLa\ierQog , 
rjXLxCrj \iev TtQcora \ieyav , 7teQL\ir\xea ftrjxev , 
230 bcpQ-aX\iol6L %aQC0itbv td' bcpQV6iv ev aQaQvCaLg , 
[iir\%avLxbv 6v voeL re TtoXvrQOTtov rj TtoXvrXijrov ,] 
[olxov \iev cpd-eCQovra itarQCOLOV , rjde r ^Xltqov , 
og 6xeda6ag bXfiov TtevCrjv oa%dvr\6L dLCOxet,] 



BIBAION E. [ s .] 109 

tr)v d' I8lr\v dx[ir)v cpLliovtL Sidco6LV sqccOtij, 
235 tr)v d' dllov coqy\v avtbg 7to&icov dyartr\6£L, 
£rjkc6o£t dovlr\v d\ r] 4>dktQLav, r] Ttokvxotvov , 

8%%-QOVg d' £X7ttC066£L, tOLg XQ£Ltt06LV aVtLCp£QL%COV, 

xal jtdtQrjg £i%£L, r]d' iv %£ivr\ dLatQLil>£L, 
xal 7tka6tf6L yQacpaig d%£kavv£taL dkko6s yair\g 
240 sig 6t£Lvbv ^corjg Xv7tr\g {lita, talg iitl tiyvaLg 
dkkotQiaig t£ yQacpaig iitLti Q7t£taL , r\ di%a kv7tr\g 
£VtQa7tiXot6i yQacpalg t£Q7tvov fiCotov 6lo6svsl. 



34 r Hvlxa d' dv Mr\vr\ 'Eq [i fj 6tik(3ovtL 6vvd7ttr\ , 

QrjtOQa 6rftiaCv£L, xaC q' iv {iskitr\6L 6ocpL6tr\v, 
245 svyQanpov TtLWtov t\ iv yv^iva6ioLg t l'6ov 'EQ[if\. 



35 UxoQTtCog, AiyoxsQcogxalKaQxivog r)d' &q 

oCl%ftvg 
ix cpokidcov Ttokkcov 6vyxsi{isvoi si6t tb 6c5{ia , 
xal ksTtidcov Ttokkcov ksittcov & dpa xal 7tokv%Qc6- 

pcov' 
iv tovtOL6L tv%c6v IlQi6 flvg xal koiyLog"AQr\g 
250 xal Mr\vr\ xsQar) xal ykavxLOco6a Kv&r\Qr\ 
ipcoQr\v xal ki7tQr\v, dkcpovg, kst%r\vag stsv^av. 

xsvtQCO&slg d'"AQr\gr\v Ttcog cpaivoLto 6vv f EQ[ifj 
'Hskiov olxcp xa&OQc6{isvog , i%&Qbg i% i%&Qco, 
bcp&akiibv piaTttSL) si [iiv &' £va cpco6cpoQov d&Qoi' 
255 sl <f d(icpco xatidoLt\ dkabv xal 7tr\QOV s&r\xsv. 



36 Ei d aya&bg 6cotr\Q cpa£6i[i^Qotog ovQavLog Z,£vg 
av&cpaovg Mr\vr\g VTtodi&tat l£qov b{i{ia, 
aQ%f\ xal 7ti6t£L xal ti^iaig i6t£cpdvco6£V, 
siyLa6L TtoQcpvQiotg ts cpiQst xo6[iov{i£vov dvdQa. 



1 1 MANEO&NOZ ATL0TEAE2MATIKSIN 

37 O KQOvog r EQii£Cav xati%cov Kqlov ivl otxcp , 
26 L frv Mr\vr]v i6C8r] vipcoLi' aviovoav iavtrjg, 

coqovoliov t£XQatf]6L, (3Qa(3£vg xov %v£VLiatog avtcg, 
tQavXov ivl yXco66r], d%aQL f 6tatov ddog £%ovta, 
talg axoffiL fiaQvv xa\ tolg %o6lv r\8\ xa\ aQO-QOLg, 
265 [a6tQoXoyov %cvvtbv xa\ Qr\tOQa xa\ cpLXoLiov6ov , 
Qv&tiotg xa\ LiitQcov 7C0Lrj[ia6Lv £v6toyov dv8Qa, 
6%r]Lia6LV £v&aQ6rj xa\ %QC0Lia6Lv d%Qovor]tov ,] 
[%ovXvyaciov , tixvoL6LV iitcodvvov r]dh %oXvtXav ,] 
£vliov6ov, XcyvQOv, cpLXo%aCyLiova tr) 8LavoC?], 
270 [ov TtoQog i6tl cpv6Lg, r) d' av cpv6Lg i6tlv 6 8aCLiav, 
xa\ 6ocpLr]6L Xoycov cpv6cxcov fiCotov Li£Q-o8£Vcov ,] 
^corjg xal ixov6rjg £v6vv$£tov £lg tb vorpac 
av$oX6yOL6L tQOcpalg r\8* £lv l8Cj]6l Li£XCp6aLg. 



38 Ev6cpvQog *EQLisCr]g r]v Zr\v\ ixovcp 6vvo8svr\, 
275 svitoQog axQL(3r]g t£ cpv6£L , xvxXcov tb voLiL6Lia ' 

6iXLXQoXoyog ycxQ icov %oXXol6i toxotg dvalpaCvu , 

cp£c8coX6g, ipr t <pc6v t£ cpcXaQyvQog r]8£ 8avu6tr]g. 
iv 8h tQCtaLg %coq?]6lv dcp* coqovcliolo tv%r]6ag 

dyQ£vtr]QL XCvcp dv£cpiXx£taL il- aXbg l%&vv. 
280 sl d'"AQr]v i6CdoLg %tvlio?jlisvov ix 8LaLiitQov, 

xa\ SoXCol6l (rQo%OLg oQ£6CtQocpa %dvta xvvrjysl. 



39 "Hv TLa cpCrjv svQ?]g %SQL%Xs%aLisvr]v tbv"A Qr]a, 
\x,OL%ovg xa\ Xdyvovg xa\ %avto%a$sZg i%oCr]6£v. 



40 'Ev TLacpCr]g olxoig 6 Zsvg i%C8o%og v%aQ%SL , 
285 xaC q ovtcog %aQi%sc, r]v xa\ i%C8o\a ta cpcota '. 
IV [dcpvsLoC, LisydXoc, %SQLxaXXssg , 0LiLia6L yavQOL , 
XsvxoC, xa\ %av&ot6Lv i%avtiXXovt£g iovXoLg, 
sv%Q06Lt0L, yXvxsQoC, 6o(3aQoC, %aQC£i>t£g doLdoC , 



BIBAION E. [*.] 111 

sv&mtoi, tclvvtoC, si>6%r\uovsg , aQ%LXvvr\yoC , 

290 ov%l llovov %c6cov ftrjQrjTOQsg , aXXa yvvacxcov, 

diaooXoyoi, SCyaLiOL, dCyovoC & aLia y.al dtitoXlTca^ 
* cpacvoLcsvoL naOiv LiaxaQL^oLisvoC ts.] 
f xal TtaTOfl %aCoovGL, xal sv ^sCvolCl (>lov6lv ' 
f TLLicovTac 6vvs%cog r)d' st, dXo%cov dyaitcovTaL' 

295 f civyov~6LV GTScpavoLg, cpcXCaLg yrj&ovOLv dvdxTCov 
f [la^TvoCaLg do^rjoC t dyaXXoLisvoL 6sXaysvvTaL, 
f Ttsv&SQLXotg &aXaLiOL6c 6lcox6lisvol xa&0QC0VTC(L , 
f r\ xXojtCLicog cp&sCQov6t Xs%r\ idCav 6vvscpr\f$cov. 

[y.dv ccOtsl cpaCvovTat , id' sv 6TQaTLrJ6Lv oQcovTaL.] 
41 Hv ds t s%r\ 6vv6s6liov sit 'HsX lov tiots Mr\vr\, 

301 sx TtsvCrjg itXovTst ts xal sig %svCr\v dvaxaLiitTsc ' 
do^av s%sl TS%vrjg r ExaTrj6Cov slvsxa xsQdovg, 
y.aX LiayLxfj 6vvs6sl itSTtL^sv Ta TtvsviiaTa tpsvysLv, 
xal KQvcpCiiaLg (3C(3XoLg sitccyaXXoLisvog itSQtsCQysL ' 

305 7tC6Tstg lisv 7taQs%SL 6oflaQatg LisyaXr\6L yvvaL%Cv , 
sx ds Tv%r\g LiLXQrjg sjtl iisCtpva %C6tlv oSsvsl. 

xr\v svqt\ Mr\vr\ iiSTa Tr)v Xv6lv a6TSQag s6d-Xovg, 

309 OLTodoTaL, xtC6tccl, iir) cpSLdoLisvoL cpLXoTCcicog 
308 oXfiov xal tcXovtov xal %Qr\LiaTcc %QV6ocpoQr\Ta 

310 sig fiv&ov , sig dvsLiovg dLaTtaL^OLisvot danavco^Lv, 
xatQ0t6LV TtaLiTtav, to 7tXsov ds 7tSQL66a ^idovrsg 
XsCitovTat TtdvTcov sXsovlisvol ovdsv s%ovTsg. 



42 Tdg avTag dvvdfiSLg sIt dvdQa6Lv slts yvvaL^lv 

OxsjtTOLisvog TtQoXsyco , coQr\ ds cpv6Lv SloqC^sl ' 
315 aXXa xal cog Sqsco Totg 6%r\Lia6t xal Ta yvvaLxcov. 
6cocpQovagr\ UacpCr\ olxoLg idCoLg, LiSTa Zr\vog 
svLLOQcpovg, itLVVTag t% r\v xal ZtCX fiovTa xa&- 

svQr\' 
xaL noQvag o Kq 6 vog a6%r\Liova SQycc TsXov6ag, 



112 MANEQSllSOZ AI10TEAE2M. E. [g.] 

iv di&vQoig aUC xe 7tQ0'C6xa\iEvag avacpavdov. 

320 x ex Qa%o6LV %cool6lv el r) 6xEC%ov6a £e Xrjvr], 
et xal xr)v coQr]v iv X£XQa7to0£66L xa^EVQotg , 
aQoqzoLg £QyoL6t \iLaCv£xaL , r)vx' etc EQyotg 
ix 6xo\idxcov al6%Qolg dLa(raXXo\i£vr] xaxocpiq\icog. 
eI 6' AQrjg r]ovg ys \1s60vQavioLXo , XoyC%ov , 

325 r) TtoXXolg \ir)xr]Q etcl ddxQv6Lv e6xev dxExvog. 

el dh K-Qovog JlacpCr]v loCoLg olxol6l xad-£VQ0L, 
xrrv cpa6x?] xCxxelv ix vrjdvog , ov jzoxe xCkxel , 
ijj£vdo{i£vr] d* codtvag dvcodvvog e6xlv dxExvog, 
aXXoxQCrrv xs yovr)v v7toflaXXo\i£vr] xaxoxi%vcog 

330 xa\ xXCva6a di\iag 6xsCQa Xo%6g e6x* etiI xXCvqg, 
xa\ 7tXa6xr) {irjxrjQ £6xr]tyaxo xr)v cpa6LV dyvcog. 



IV 43 "AQEa xa\UacpCr]v 6vvacpalg £VQOv6a2£Xr]v 
'He XColo xoitOLg r] xal 2JxCX(5ovxog iv oLKOLg , 
r]v dLapEXQOv s%r] dvocpsQr)v axxlva Kqovolo , 

335 i6%vr)v xa\ Xv7tQr)v , xaxo7tQY]y\iova xa\ xaxofiovXov, 
av6xr]Qr]v, 7tQ07t£xrj, 7toXv7tQr]y\iova , $a6xavov alsC, 
evxvl^xov, TtQoXaXov xal (5Xr]%Qr)v xal cplXovelxov, 
Xv66ada, %}]X6xv7tov xal dyvco\iova xal TtEQCsQyov, 
7tr)\ia XvyQcp ya\isxr] 6vvaXL%6\i£vov xaxori&Eg ' 

340 aXX' VTto xrjg HacpCr]g d\i(5Xvvo\iivr] \isxa^dXXsL. 



EK TQN JQP0&E0Y. 



H(pcaOTtGjvog rov Srjpcciov €% tov jtqcxitov ttsqI Tmv 
VMTaQyoiv : t% tojv AojQofrtov. 

Kqiog. 
'AQ%aCr\ BafivXcov Tvqlov ByjXolo 7toXL6ua, 
vGzaTa d' 'AQQafiCrjg, ysUcov %&ovog AiyvitTOLO. 

TocvQog. 
0)]q\ d' V7ts6TQcoraL uXCua Mrjdixov 'AQQafiCrj ts, 
r)ds Tcal svficoXoLO xaXov Ttidov AlyvitToio. . 

didvflOL. 

o"E6ti ds cpcovrjsv xXCua KaitTtadoxcov vjto Tcpds, 
r)ds ts IlsQQaificM/ uai (DolvCkcov &sotsvxtcov. 

KcCQKLVOg. 

Tco d* vjto ®Qr\Cxcov ts xai Al^LOitcov aXCua xslTaL. 

Akcov. 
Tcp d' V7t6xsL& EXXag &QvyCrj d' dua nai 6Toua TIovtov. 

IlaQ&evog. 
Tfi d' vito 7ta6a r Podog xai KvxXddsg duuLya vr}60L, 
10 Kai dQvog coyvyCrjg dxQ 'AQxddsg avdQsg sdovvsg, 
xai fla&vdLvrjtao usyag Qoog 'Slxsavoto, 
xai xXCu' 'AftaLLZOv s6xs Aaxcovidog r)ds Aaxcovcov. 
Zvyog. 
xXCua KvQrjvrjg vtco %r\Xalg , 
ha?Jr} ^coQrj ts tcsXsl 7tXcx6TLyyag vit avxdg. 



114 EK TSIN ASIPOQEOT. 

Z~A0Q7lL0g. 

15 * * * vitb 8' avxco ejtXexo ita6a 

KaQ%r\dcov TvQir\g ^didovg vito 6co\xr\%ei6a, 
"A\i\xcovog Ai$vr\, 6vv t' oi'd\iaxt Zi%eXCr\ %&cov. 

To^orrjg. s 

"E6xQcoxai d' vitb xcpde fia&VTtXovxcov xXC\ta TaXXcov 
xal KQr\rr\ KQOvCdao /iibg xQocpbg, r\%i xe \iv6xr\g 

20 aQ7tayC\ir\g v^ivaiog ecpv XQarsQrjg Evgco7tr\g ' 
xcp d' VTto Kt\i\ieQir\ xixaxai %xtcbv r\ 7taviQr\\iog. 



'Ez xcov xov civxov /loQO&tov Tttgl oqicov. 

Kqlos- 
"i££ d' oqCcov e%i%ei poCQag (Daifrcov ivl xovxcp 
xdg TtQcoxag^ \xexiiteixa d' i'6ag Xd%ev r) Kv&iQeia, 
onxcb de UxCXficov xQixaxog , TIvQoeig di xe itivxe ' 
25 xdg d' v7toXeL7to\iivag eXa%ev (fraCvcov i'6a Qovqco. 
TccvQog. 
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ev xovxcp ' 2JxCXf$cov de \iex' avxrjv eXXa%e \ioCQag 
dlg XQetg, otal (frai&cov eXa% bmco\ Ttivxe de (DaCvcov' 
xdg d' v7toXet7to\iivag eXa%ev TlvQoeig ixexd xovode. 
dCdvfiot. 
30 ZJxCXficov iv xovxcp TtQoxi^ag e% eXXa%e ixoCQag, 
xag d' i'6ag ^aid-cov, XQixdxr\ TlacpCr} Xd%e itivxe, 
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KccQ-aCvog. 

Eitxa de xdg itQoxiQag oqCcov \ioiQag Xd%e GovQog 

iv xovxco , txexineixa xal ei~ Xd%ev r\ Kv&iQeia, 

35 xdg 6' i'6ag r EQ\irjg, cpai&cov Zevg eitxd \iex' avxov, 

61 g de dvco itvixdxag eXa%e KQOvog dyavXo\xr\xr\g. 

Ascov. 

*E% d' e%i%ei (Pai&cov TtQoxi^ag \xoCQag evl xovxcp, 



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EK TSIJS 4&P06E0T. 115 

txsvts d' s%SLTLacpCr\' <I>aCvcov8' s%sl STttdiiST avTrjv, 
22; 8' s%sl r EQpsLccg, TtvpaTag 8' s£ sXXa%sv"AQrjg. 
TLctQ&hog. 
40 'Etctcc 8s Tccg TtQotSQag sXa%s 2JtCX(5cov TtdXt TavTrjg, 
xal dsxa KvTtQtg syu [tOLQag, <J>asd-cov 8s [ist avTrjv 
Ts66aQag, stctcc d' "AQrjg' 7tv\ichag 8vo d 9 sXXa%s 

<DaCvcov. 
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f, E§ 8' oqCcov [tOLQag sXa%sv <J*aCvcov svl tovtco, 
oktco 8s 6tCX(5cov aOTTjQ ybsyag r Eg\tdcovog, 
45 §7tTa 8s Zsvg cpas&cov, IlacpCrj 8' l'6ag Xd%sv sitTa' 
Tccg 8' VTtolsLTtoyLSvag 8L66ag Xd%sv"AQSog a6trjQ. 

2-KOQTtLOg. 

r EitTa 8s tol [toCQag oqCcov IlvQOSLg Xd%s tovtov, 
Ts66aQag av Uacplrj, oxtco 2JtCX(3cov, [isTSTtSLTa 
TtsvTS Zsvg cpas&cov, Ttv^iaTag 8' s% sXXa%s OaCvcov. 
To^otrjg. 

50 Acodsxa 8s TtQOTSQag <3>as&cov [toCQag Xd%s tovtov, 
TtevTS 8e tol TLacpCrj ' TQCtaTog 6tCX$cov [isTa tov68s 
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xag 8' v7toXsL7to\is'vag 'Aqt^ Xa%s dlg 8vo {toCQag. 

AtyoHSQCQg. 
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55 STtTa 8s tOL t&asd-cov, dlg ts66aQag rj Kv&SQSLa, 
<EaCvcov dlg 8v' £#^? TtvpaTag cf"AQr\g fca tovtco. 

'TdQOxoog. 
EitTa 8s Tag TtQOTSQag *EQ{irjg Xd%sv ' sha psv avTov 
s\ poCQag KvTtQig ' <&as&cov {iSTSTtSLta Xd% §7ttd, 
TtsvTS 8s &ovQog"AQrjg, Ttv^dtag 8sKQovog Xd%s tcsvts. 

'ix&vsg. 
60 Acodsza 8s 7tQ0TSQag poCQag Xd%s KvTtQLg aTtd^ag, 



116 EK TSIN 4SIP0&E0T. 

dlg Ss dvco Qas&cov , ExClflcov XQslg , svvsa @ovQog' 
xag 6 VTtoksLTtocisvag dtoodg QaCvcov kd%s [loCoag. 



XV 



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KQtog %aLxr'}Sig %s Ascov xo%olo xs r Pvxr)Q 
rjuaxog 'HsXColo , Aiog 8s xs vvxxbg saOLv 

63 aXXaydrjv ' aivog ds KQOvog XQLxdxr\v Xd%sv aioav 
TavQOv ' HaQd-svtxrjg ds xal AlyoxsQco XQaxsovOLv 
r\uaxog 'AcpQoysvqg , vvxxdg bs xs dta £slr\vr\, 
xal XQCxaxog usxa xolOl d-sog iloXsuolOlv dvaOOcov 
sv 6s vv IlaQ&svLitfi MaCr\g TtQoOld^ipavs xovqov. 

70 sv Atdvuotg Zvycp xs xal TdQ0%6cp xqvosvxl 
rjudxLog QaCvcov, dxaQ svvv%og 'AQysLcpovxr\g ' 
xovxcov d 9 vOxaxC)\v KQOvCdr\g LiOLQrjoaxo xd%LV. 
KaQxCvov avxs Xd%sv xal ZlxoQitCov r)ds xs XoCoxtov 
'fydvag r\iiaxlr\ KvrtQtg^ TLvQostg ds xs vvxxeg, 

lb xal {isxd xovg sXixcoTttg s%sl flaoCXLOOa EsXr\vr\. 



Tov (tvxov iv olg yatQovcri tortoig ol aathot^. 

Alqsxol sx xovxcov [idXXov KQovog slv TdQO%r\L> 
Zsvg d svl To^svxfj , xal ExoQTtCcp r\dsxat "AQr\g ' 
KvTtQtg d' sv TavQcp ydvvxat voov, sv ds vv Kovqij 
EQyisCag' slg d' sOxl dopog cpcoOxiJQog sxdoxov. 

TOV aVTOV 7TSQL Vll>G)tldTCj)V. 

80 'Hsfoog Kqlolo xax' svvsa xal dsxa iioCQag 
vifjovxaL, Mrjvrj ds xsql xQLxdxrjv TavQOLo. 
slxooxfi ds iLLr) Zvyov KQovog' AlyCo%og ds 
KaQxCvov sv dsxaitsvxs, xa& spdouddag ds xtxaQxca 
'AQr\g AiyoxsQCO, txsqI d' svvsa XQtoodxL KvTtQtg 

85 'Ix&vOl, naQ&svLXrjg ds XQCxrjv xaxd Ttsvxdda *EQur\g 
al ds xaitsivcoOSLg vtycoiLaOtv sv dcausxQcp. 



EK TSIN ANN0TBISIN02. 117 

EK T£N ANN0TBI&N02. 

lleol uoiQag ciQoGzoTtovGrjg cog 'AvvovfiCcov iv toig 
iXeyeioig. 

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%Qr\ TeTQaycovd <$■' oqccv xal dtdueTQa totccw. 



3n meinent Serlage ifr nun potlftanoia, erfdjtenen uud in aflen 
33ud)l)anbluna,en ju baben: 



kel 

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ben a,en>of>ntid)en a,rted)ifd)en unb tateinifdjen 2Borterbiid)ent unter* 
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23ud)erroefen, Disciplina militaris, Divinatio, (EooS, (Ergieljunct., Exer- 
citus, Geographia, ©ramntattfer, Historia, Judicia, ^ieibung, Ko- 
moedia, ttjrtfctje *)3oefte, Qftar/tjeiten, Musica, 2)h)ti)ologie, Dpfer, 
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lieb , SBinbe, 3 auPerci entftanben. 9(u3 bemfeJben (Srunbe »tr 
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bem trofanifcfyen u„ eine Uebcrftcfyt gccteben. 

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Sftitroirfuna, tucfyticter SMitarbeiter in erfreutidjem Wlayt ju Xfycti a, 
roorben: £r. £>irector (Etaffen in ^ranffurt a. Tt. liefcrte bie $r= 
tifet 93rutu3, %ul\u$ (Safar unb «fJontpeiuS; — bie £erren $ector 
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fd)en 0led)t3s, ©taatS* unb 93rioatattert()itmcr; £err $rof. ©iefert 
in Slltona bie alte ©eoa,rap()ie; £err teonrector @toll tn SBeilbur 
bie antife 9teligion unb 9Jh)tl)otoa,ie unb bie tpi]d)t unb tprtf 
^ocfte ber ©riedjcn; £err *)3rof. Dr. 2Bifjfd)el in (gifenad) iit 
nar/tn ba$ %afy ber bramattfdjcn giteratur unb $unfr; £err ®t)m 
naftadefyrer ^ciit in ©reiffenbera, bearbeitete bie a,ried)ifd)en 8taate* 
unb ^rioatattertr/umer, rocir/renb ber JperauSgeber enbtid) eine 
9ln$at)t ber attgemeinen unb jufantmenfaffenben ^lrtifet, ferner fafr 
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unb anbere 5lrtifel geliefert ^at, bie jur (Ergan^una, ber eintretenben 
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pl)ie u. f. to. ftnb l)ie unb ba 311uftrationen beic^egeben roorben, 
fo loeit e§ bie 9iucfft«()t auf einen btHicjcn ^3rei§ nur irgenb ^ulic^. 

©te bereit^ erfcb^ienenen ctitnfttgen 23curt(>eiiunc3en in ber 3^it s 
fdjrift fitr ©t)tnnafta(roefen 1853 ©. 709 ff., in bem Siterar. (Eentral* 
btatte 1854 9?r. 12, in ben <£eibe(bera,er 3abrbitc()crn ber Siteratur 
1854 9lx. 44, in ber 3l(Igemeinen Sc()u(5ettuttC3 1854 9cr. 114, tn 
ber 3 e iif^ ri fi f" r ofrreid)ifd)e ©untnaficn 1854 u. f. to. (affcn bic 
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ifi, bei 10 auf einmai befteflten (£r,emplaren ein $reier,cmolar ju licfern. 

Seiostg. «8» ©. &tubnev. 



! 



NIKOMAXOT TEPA2HN0T 

nYGATOPIKOY 

API0MHTIKH EEAr.QrH. 



NICOMACHI GERASENI PYTHAGOREI 

INTRODVCTIONIS ARITHMETICAE LIBRI II. 



RECENSVIT 



RICARDVS HOCHE. 



ACCEDVNT CODICIS CIZENSIS PROBLEMATA 
ARITHMETICA. 




LIPSIAE 

IN AEDIBVS B. G. TEVBNERI. • 
MDCCCLXVJ. 



lipsiae: typis b. g. tevbxeri. 



PRAEFATIO. 



Nicomachi Geraseni inlroductionem arithmeticam post- 
quam Christianus Wechelius Parisiis anno MDXXXVIII 
primum edidit, huius saeculi anno XVII Fridericus Astius 
Theologumenorum Arithmeticae edilioni suae ad exemplum 
Parisiense recognitam et codicum mss. Monacensium ope 
emendatam suhiunxit adnotalionihusque latis et verhosis in- 
struxit. qua in editione cum multos locos quos editio prin- 
ceps ineptissimis mendis et corruptelis foedatos praehuerat 
correctos ohferri qui neget nemo sit, Astii tamen quam ad 
Nicomachi textum in melius reficiendum adhihuit ars neque 
sanitatis neque constantiae laude digna potest iudicari. con- 
iunctionem enim quae inter codices et editionem Parisiensem 
intercederet cum nihil curaret omnesque qui ipsi praesto 
erant lihros paris existimaret, accidit ut uniuscuiusque scri- 
pturas ad arhitrium in textum reciperet, quin etiam codice 
m (238) , Monacensium longe optimo , quia cum editione We- 
cheliana saepius congrueret, paene plane neglecto codicem ^ (76) 
quem minimi hahendum esse qui semel inspexerit consentiet 
aeque ac codicem £(482) multo meliorem sequeretur. neque 
minus errauitAstius, cum eas quas Nicomachus exPIatonis alio- 
rumque scriptis adfert sententias, quia memoriter saepissime scri- 
ptorum dicta apud ueteres laudari uideturignorasse, adillorum 
lihros emendare studeret; atque maior eorum est numerus lo- 
corumquos, cumNicomachitextumadsermonisPIatonicielegan- 
tiam quamuis omnium dissuadente codicum consensu redigere 



IV PRAEFATIO. 

conaretur, hac ipsa re corrupit et uitiauit, immemor interesse 
aliquid inter Platonem et arithmeticum noslrum quem post 
quinque fere saecula regio barbara genuit. *) primus tamen 
Nicomachi in Germania Astius restituit memoriam. 

Neque defuerunt qui eius uestigia premerent. li- 
bello enim scholastico scholae episcopalis Cizensis huius 
saeculi anno XVIII Godofredus Mullerus addidit 
^particulam nonam notiliac ei recensionis codicum mss. 
qui in bibliotheca episcopatus Numburgo-Cizensis asseruan- 
tur" in qua scripluram codicis Cizensis quem, „cum omnia 
fere bona cum codicibus Monacensibus haberet communia, 
immo nonnulla sibi propria", dignum iudicauit „qui in 
Jucem protraheretur inque numerum codicum mss. iam 
cognitorum reciperetur", cum edilionis Astianae lectione 



*) Ne de Nicomachi uita et aetate omnino tacere uidear, 
hoc loco quae pro certo dici possunt proponam. Gerasis in 
urbe Iudaeae prope Bostram sita natum esse auctorem no- 
strum testatur Io. Philoponi scholion ad arithmeticae Nico- 
macheae libri I inscriptionem; ast ubi uixerit, ne suspicari 
quidem possumus. anno fer-e centesimo post Chr. n. eum 
floruisse haec testimonia nobis probant: Nicomachus cum 
laudet Thrasyllum mathematieum (enchiridion harmon. I 
p. 24: xcci TtQogsKxrjGccLLS&cc xr)v TIv&ccyoQLY.ov nccvovog koczcc- 
xour)v cc%QL^(bg xccxoc xo ^ovXrjuu xov didccGHccXov gvvxsxsXsg- 
usvr\v ovr oog 'EQCcxoG&svrjg 7tccQrjHOVGSv r] @QccGvlXog, 
ccXX* cog o AoKQog TiLLCCiog %xX.) , quem Tiberii temporibus 
uixisse Tacitus et Suetonius tradunt (Suet. Tib. XIV. — Tac. 
Ann. VI, 20 et 22. — cf. Iuuenal. sat. VI, 576: numeri Thra- 
sylli. — Dio Cass. LV, 11), ipse ignoratur a Theone Smyr- 
naeo , qui Thrasylli et omnium fere priorum scriptorum ma- 
thematicorum saepius (de Musica II p. 74; XXXV p. 137; 
XXXVI p. 145 ed. Bullialdus) mentionem facit; Apuleium 
autem Madaurensem, quem Antoninorum tempore scripsisse 
constat, Nicomachi arithmeticam „Iatino sermone translatam 
Romanis obtulisse lectitandam" Cassiodorus narrat (lib. de 
arithm. sub fin.). — praeter introductionem arithmeticam ex- 
tat Nicomachi sy%SLQidLOv ccQLLOVLY.r)g, quod I. Meursius Lugd. 
Bat. 1616 et M. Meibomius Amstelod. 1652 ediderunt. — 
Fragm. Nicom. de Pythagora apud Iambl. de uita Pyth. cap. 
35. p. 492 Kiessl. — Theologumena Arithmetica quae uo- 
cantur Nicomacho falso adscribuntur a Photio (cod. 187, 
p. 142 Beck.) qui introductionem nostram ab arithmetica 
Nicomachi ipsa distinguit. 



PRAEFATIO. V 

comparauit. quam collationem cum non sine industria insli- 
tueret Mullerus, tanta tamen erat eius imperilia, ut non 
solum quae esset inter libros mss., inprimis inter Cizensem et 
Monacensem 76 ((i) necessitudo eum plane efFugeret, sed 
eliam ut „uero simiJe, immo credibile" ei uideretur „libra- 
rium cui codex ille debetur plura exempla contidisse et 
hinc eorum lectiones quae ipsi probarentur in exemplum 
suum iranstulisse. u recle tamen uidit ab homine Graeco eo- 
que docto codicem C esse scriptum multosque Iocos qui in 
edilione Wecheliana et in Astii codicihus corrupti leguntur 
in libro Cizensi castigatos et emendatos praeberi. 

Quam Mulleri codicis C recensionem post decem annos 
secutum est „specimen arithmeticae Nicomacheae" quod 
Carolus Nobbius Lipsiensis libris mss. quos Aslius igno- 
rauerat Norimbergensi et Guelferbytano in comparalionem 
uoeatis anno MDCCCXXVIII edidit. cum neque codicem Cizen- 
sem neque Miilleri opusculum — quod Lipsiae et typis 
expressum erat et uenumdabatur — cognouisset, Nobbius in 
primi libri capitibus tribus primis quae sola in publicum pro- 
tulit lectioni Astianae codicum suorum scholia et scripturae 
discrepantiam subiungere salis habuit neque ex auctoris 
cuiusdam Halensis anonymi adparalu quem recognoscendum 
acceperat magnum percepit fructum. (quae ante hos quatuor 
annos Nobbius „exlerni cuiusdam philologi ad repostum illud 
opusculum relapsus" edidit codicum NT ad primum librum 
scholia maiore sunt uilitate, quam quae ullum ad Nicomachi 
arithmeticam emendandam usum praebere possint.) 

Is eral adparalus quo adiutus, antequam loannis Philo- 
poni commentarium edere pararem, Nicomachum oblala occa- 
sione ipse denuo recensui (in programmate Gymnasii Wetfla- 
riensis a. MDCCCLXII) codicis Cizensis praeslantiam in lectio- 
num discrepanlia inprimis secutus. sed hunc quoque librum 
mullum abesse ab archetypi textu non potuit fieri, quin paullo 
post inlellegerem. Sauppii enim, u. cl., heneuolenlia mihi 
contigit, ut codice illo Gottingensi de quo in praefalione ad 
scholiorum Ioanneorum editionem meam plura loculus sum 
uti mihi liceret, non anliquissimo solum — decimi est saeculi, 
cum reliqui omnespostsaec. XHI.scripti sint — sed tanlointer- 
uallo omnium praestanlissimo, ut hunc quoad fieri posset praeter 



VI PRAEFATIO. 

ceteros in hac noua Nicomachi editione mihi adhibendum esse 
stalimadpareret. nequecumcodicemGottingensemcumeditione 
Parisiensi ceterisque qui mihi praesto erant Jibris compara- 
rem, potuit me fugere omnes Nicomachi codices in duo disce- 
dere genera quae hoc schemate dilucidissime lectori propo- 
nere posse mihi uideor: 

archetypus 



gen. I gen. II 






G> P Cfi G 2 SH[N]r 

est autem librorum index hic: 

= cod. Go ttingensis , saeculi decimi, membranaceus 
in 4°, foliorum num. 266, nitidissime scriptus, litulis 
minio adpictis, conlinet Nicomachi introductionem cum 
loannis Philoponi commentario quibus Theodori Proto- 
censoris additum est scholion. (de codicis historia cf. 
praef. ad loann. Phil. edit. meam p. 1.) 

G 2 = manus altera, multo recentior, quae codicis 
scripturam ad alterius generis exemplum cor- 
rexit. 

m =z cod. Monacensis 238, saec. XIV, chartaceus in 4°, 
fol. num. 19, exaratus a Boemundo Canonico, continet 
libri primi capila I — XIX Ttgog tc5 oXa. (cf. Arelin, Bei- 
triige zur Geschichte und Litleralur. IV. p. 586. 1805.) 

P = editi o Wecheliana, Parisiis 1538 in4°. — ex satis 
antiquo generis I libro ab homine minus perilo descri- 
ptam esse hanc editionem typographi errores indicant. 
cum enim G, ut unum adferam exemplum, litterarum /3 
et k ubi anle 6 positae sunt candem fere praebeat for- 
mam (u), in P quoque saepius /3 pro x, % pro (3 ponitur, 
ut legalur: £zdo[iog cet. in bibliotheca imperiali qua- 
tuordecim asseruantur codices Nicomachi, omnes recen- 
liores, quorum nullum cum editione Wecheliana con- 
gruere F r i d e r i c u s M a 1 1 i u s , uir doclissimus, qui libros 
illos inspexit, me certiorem fecit. 

C =3 cod. Cizensis exeunte saec. XIV aut ineunte XV scri- 
ptus, chartaceus formae maximae, continet Nicomachum 
in fol. 33, praeterea Ioannis Philoponi scholiorum recen- 



I 
I 



PRAEFATIO. VII 

sionem alterani et ea problemata qnae hnic adiecta sunt 
editioni. (cf. Miilleri notiliam et recensionem codd. Ciz. 
part. IX. Lipsiae 1818. 8; et Praef. ad Io. Phil. p. 1.) 
C 2 = manus altera. 

^ = cod. Monacensis 76, saec. XVI, chartaceus formae 
maximae, summa incuria et neglegentia scriptus, de quo 
cf. Aretin II. p. 41 (1804). — ex cod. C cuius errores 
cum suis coniunctos praebet descriptum esse hunc 
lihrum ueri simillimum mihi uidetur. 

S = cod. Monacensis 482, saec. XIII aut XIV, manu di- 
uersa, homhycinus in 4°, fol.252; a fol.96 Nicomachum 
continet, multis notis interlinearibus etmarginalibus. (cf. 
Aretin VIII. p. 521. 1805*) 
S 2 = manus altera. 

if=cod. Hamburgensis, saec. XVI, chartaceus form. 
max., ah Holstenio bibliothecae Hamburgensi tradilus, ex 
libro Romano aut Tolosano diligentissime transcriptus. 
(cf.Leben desGelehrten LucaeHolstcnii. Hamburg. 1723. 
p. 7, 44, 94.) 

[iV=cod. Norimbergensis, exeuntc saec. XIV aut in- 
eunte XV, bomhycinus in 4°, de quo uide Nobbii speci- 
men 1828. p. 5 et eiusdem edit. schol. 1862. p. 3. — 
lihri ipsius inspiciendi copia mihi non facta est.] 

r z= cod. Guelferby tanus, saec. XV aut XVI, chartaceus 
form.max., neglegentissime scriptus neque dignus quem 
nisi paueis locis adhiberem. (cf. Nobbii spec. p. 6. — 
edit. schol. p. 3.) 

quibus accedit 

Ast. = editio Astiana, Lips.1817, 8°, de qua supra dixi. 
Neque minoris paene momenti quam codices ipsi babenda 

erant ea quae ad Nicomachi libros explauandos et ipsius inter- 

pretes ueteres et alii scriptores arithmetici graeci adtulerunt; 

quorum notae hae sunt: 

Iambl. = IctLifi ki%ov XctXKcdiag . . . tzsql rrjg Nlxo- 
^a%ov aQLd-Lir}TL'K7Jg clgwyoyyrjg . . . Xoyog TiruQrog. 

*) In paginae primae margine superiore leguntur Xs 
Tcoorjyov %xX. quae per errorem in fine huius editionis posita 
sunt (p. 147). 



VIII PRAEFATIO. 

ed. Samuel. Tennulius. Dauenlriae CI3I0CLXVIII in 4°. 
(accedit Ioacli. Camerarii explicalio in Nicomachum. 
Dauenlr. 1667 in 4°.) 

Io.Phil.=Ioaa vvov y QafiLtaT lxov Ake^avdQ ecog xov 
iIotiovov elg xo tvqcotov Trjg Nlkollccxov aoL&Lir]- 
TL'/S]g. primum ed. Ric. Hoche. Lips. 1864 in 4°. — 
cum scholia Ioannea in alterum Nicomachi librum non- 
dum sint edila, codices ipsos inspexi: 

Io. Phil. 1 = scholiorum Ioann. recensio prior quam 

praebent codd. GH. 
Io. Phil. II = recensio allera codicis C. 

Soler. = Tov v.vqlov Zcot7]Ql%ov tov cpLkoGocpov 
Gypkia elg ro qtjtov tov devTeQOv fiifiklov Ti]g aQL&- 
^7]Ti7iijg to ' %QY]6LLieveL de ei'g Te ty]v TlkaTCOvog ipv- 
*fOyoviav y.al elg xa aQLiovLY.a SLaGTYjLiaTa itttvtt 
[II, 2, 3]. inedilum, in cod. H. 

Theodor. = 2%6kL0v QeoScoQov IlQcoToxevGtoQog 
in cod.G, a me editum in praef. ad Ioann. Phil. schol. I 
p. XIV. 

Io. Pedias. c= 'icoavvov tov Tle8 LaG^iiov Gvvoipig 
LieTQr]Gecog v.al LieQLGLiov yfjg, adhuc inedita, de 
qua Friedleinius Onolsbacensis disseruit in lahnii 
nou. annalibus XCII. p. 366 — 83 (1865). praeter 
eos quos ibi (p. 371, 372) descripsit locos in Ioannis 
Pedias. codicibus Monacensibus nullos qui ad Nicomachi 
arithmeticam pertinerent se reperisse Friedleinius pro 
ea quae in ipso est humanilate me docuit. 

Schol. NT = S c h o 1 i a codicum Noriml)ergensis et 
Guelferby tan i in librum primum quae Carolus 
Nobbius ediditLips.1828 (in specimine arithm.Nicom.) 
et 1862. 8. 

Schol. C= Scholia codicis Cizensis ad libr. II, 26,27, 
a me edila in libello scholaslico Welflariae 1863. 4. 

Boelh. s=s Diui Anitii Manlii Seuerini Boetii (!) 
Arilhmctica duobus discreta libris adiecto commenlario 
mysticam numerorum applicalionem perslringenle decla- 
ratn. Vaenundatur apud Simonem Colinaeum e regione 
scholae Decrelorum. Parisiis MDXXI. Fol. 



L 
1 



PRAEFATIO. IX 

quibus accedunt praeter Euclidis elementorum libros: 

Theon. = Secovog E(ivQvaiov . . . tcov aam ccoi&pr}- 

Tixrjv XQr}6ificov elg xr\v tov nXccTcovog avayvcoGiv. 

cum Bullialdi interpretatione latina ed. I. I. de Gelder. 

Lugd. Batau. 1827. 8. 
Psell. == M.i%. KcovGr. WekXov 6vvTay(ia elg Tag Te6- 

aagag (la&JHiaTindg eiti6Tr](iag^ aQL&(ir]Tt,xr}v %tX. ed. 

G. Xylander. Basil. 1556. Fol. 

quae Cassiodorus et Martianus Capella (nupt. libr. VII) 
de arithmetica scripserunt adNicomachi opus emendandum uel 
interpretandum nullius sunt momenti. 

Qui adparatus cum parui non sit aestimandus, quin per- 
fectus sit, multum tamen abest. latent enim adhuc in biblio- 
thecarum puluere non solum ea quae Asclepius Trallia- 
nus ad Nicomachum scripsit scholia (cf. Fabric. bibl. gr. tom. 
IV. p. 5. — C. Miller, Catalogue des Mss. Grecs de la Bibl. 
de 1'Escurial. Nr. 248. — de scholiorum Asclepii et loannis 
Philoponi in cod. (i condicione cf. Aretin II. p. 41 seq. 1804; 
VIII. p. 521 seq. 1805.), sed etiam libellum quo Arabs 
ille doctissimus Thabet ben Korrah Abu 1'Hassan sae- 
culo nono Nicomachi introductionem interpretatus est qui in 
lucem proferret nondum extitit. (cf. Casiri, bibl. arab. hisp. 
Escurial. T.I. p. 390. — Nesselmann, Geschichte der Algebra 
bei den Griecheu. p. 43 et 222.) 

CodicemGottingensem me in hac editione praeter ceteros 
secutum esse iam supra dixi; ceterorum librorum lectionem 
uariam ut totam adderem non erat ex consilio, sedtamen 
editionis Parisiensis et codicum mCSff non erunt multa quae 
desideres. libri autem primi capitibus I — III, ut quae inter- 
cederet inter codices necessitudo lectori adpareret, plenam 
lectionum discrepantiam subiunxi. neque ab ea quae in co- 
dice G reperitur scribendi ratione nisi grauibus commotum 
caussis me abscessisse quis est qui uitio mihi uertat? scripsi 
igitur Taog*), ivag, evaTog (evvdg P evvedg codd. recentio- 
res: — errauit B.Hase in Henr.Stephani thesauro s. u. evdg), 



*) in C ubique legitur l'aog quae scriptura in problematis 
recipienda erat. 



X PRAEFATIO. 

cet. nequc correxi eos locos quibus in G leguntur dven>, 
atet f iav pro av, quibusque coniunctiones idv et oxav cum 
indicatiuo uel optatiuo ex graecitatis recentioris more con- 
iunctae reperiuntur; non recepi quae apud alios auctores non 
leguntur dtdg, (ityfici, xvfiog cet. — ea quae aut ex libris 
deterioribus recepi aut ex coniectura scripsi litteris minutis 
expressa sunt, quae delenda uidentur uncis inclusa. 

De numerorum notis pauca sunt addenda. in codice G 
numeri cardinales qui uocantur aut lilteris uulgaribus puris 
aut lineola directa superscripta significanlur : a uel d, /3 uel jS 
(a~, /3~ ed. P), lineola obliqua (a\ §') nusquam adscri- 
bitur. neque in ceteris quos inspexi codicibus nisi in 
recentissimis Hyt (raro in m qui saepius codicum CS ratio- 
nem sequitur) banc numerorum nolam nunc usitatam re- 
peri; codd. CS autnullumautbocsignum "-- exhibent. miliasin- 
gula (xovxeaxtv ivxbg fivqtdSmv 1, 1G, 3. cf. Hultscb, prolegg. 
ad metrol. script. I, 173) lineola obliqua infra adposita in 
codicibus recentioribus notantur, cum G banc quoque notam 
fere ubique omittat. minime igitur milii erat dubitandum ad 
eam quam in Ioannis Philoponi scboliis edendis secutus sum 
rationem redire, ut numeros cardinales ab 1 ad 900 litteris 
puris significarem , numeris milium lineolam obliquam infra 
praefigerem (a, /3, . . . co, ^ — a, fi, . . . &). numeros 
ordinales quos dicimus codex G aut uerbo integro sine ullo 
scripturae compendio significat (dezaxog) aut eisdem quibus 
numeros cardinales notat litteris puris (t = dexaxog) aut Jit- 
teris linea directa distinctis exitum uerbi supra adscribit: 

7°', %6 , y , la cet. rationem similem codices reliqui se- 

quuntuiMit^nC-Ssicscribant:^ ' la ' (i™, i/^cet. eodemmodo 
numeri multiplicatiui sic scribuntur: xexqav.ig c=s 6 (G) = 

d" (G)= d li (CS) = d' S (CS). quamFridericusHultschius 
adhibet scripturam (cf. scriptor. metrol. I. prolegg. p. 174) 
=ss texaoxov, nusquam reperi neque probandum mihi hoc 
signum ; recte enim cum moneret uir doctissimus lineas duas 
oblique a sinistra ad dextram ductas pro oV poni: f* = xov, 
neqixx = neqtxxov, fugit tamen eum syllabae ov accentu 
non distinctae unam tantum lineolam esse compendium: xqix 






I 



PRAEFATIO. XI 

= xqlxov, ccqxl = aoxiov, lineis aiilein duabus a dextra ad 
sinistram ductis finem slv notari: sl%' = sltcslv , ut @>" 
quod Hultschius esse uult dsvrsQOv uel oVogtov sit dveiv. 
liis de caussis scribendum esse censeo y og , 6 0v , s yts cet., qua 
ex scriptura hunc percipimus fructum haud Ieuissimum, uteas 
quoque fracturas quarum numerator est multiplus binis nu- 
merorum signis significare possimus: jc£ t,b a = sTtrazaLSL- 
%06l si-rj%06ror£raQra (= rQLrov y.al dcodiaarov %al sna- 

f 27 1 1 

ro6rosvsv7jzoarodsvrsQOv. cf. Probi. 6. ^ =— + — -f- 

— .) — quod in problematis proposui signum Q- pro i\^l6v 

ex cod. Gizensi adsumptum est. 

De codicis C problematis quae, postquam abhinc tres 
annos in Gymnasii Wetflariensis annalibus primum edidi, non 
indigna iudicaui quae huic Arithmeticae Nicomacheae editioni 
subicerem plura mihi non sunt addenda; neque de eorum 
auctoribus praeter ea quae Thomas Reinesius, olim codicis 
possessor (cf. praef. ad Io. Phil. p. I.), cuius notas addidi et 
Fabricius in bibl. gr. adtulerunt habeo quae praemiltam. 
quin primum Diogeni Cynico recte adscribi nequeat, neminem 
dubilaturum esse existimo. 

Scrib. Vesaliae Kal. Iul. a. MDCCCLXVI. 

Ricardus Hoclie. 



Ed. 
Par. 

|s NIKOMAXOT rEPAZHNOT 

nTGArOPIKOT 

API0MHTIKH2 EI2ArarH2 

T&N EIS ATO TO IIP&TON. 



5 a. Oi Ttalaiol Kal %qcotol Li£&odev6avTsg sm- I 
GTryiirjv KaTa.Q^avTog TIv&ayoQOv coqC^ovto cpilo6o- 
cpiav slvat cptkCav 6ocpCag , cog xal ccvto to ovoiia 
tLicpaCvsi, tcov TtQO IJv&ayoQov TtdvTcov 6ocpcjv xa- 

XOVLLSVCOV 6vyKS%VLlSVCQ OVOLLCCTL ',, COg7t£Q KOL TSKTCOV 
10 KCcl 6KVT0T0Ll0g KCil KvfiSQVr]Tr]g KCil CiTtXcOg 6 TS%V)]g 

Tivog yj drjLitovQyCag SLiitstQog' ccXX' o ys Tlvd-ayo- 

I. Ioannis Alex. Philoponi Schol. a — 1$. — Iamblich. 
Chalcid. p. 1 — 5. — Anitii Manlii Seuerini Boethii Arithm. 
I. 1. — Scholia codcl. NT in Nobbii spec. p. 7—10. 

1. TEPAEINOT P — 2. I7T<9. GmH TLTOA- 
rOPElOT Nr, om. PCll — 3. slgaycoyfjg om. PN, Boeth. 
stguycoyf] r//// clg. G { ; r in o mut. G 2 slgaycoyr) rr]g ccql&ll. m 
ccQi&LLr]tLY.rjg slgaycoyr] S rov rsQUG. ccQL&u.rjTLY.fjg stgayco- 
yfjg TtQcorov l3l@?Uov li cf. libri II titulum. II, 21, 1. II, 29, 
5. inscr. tuentur Iambl. (jisql rf)g Nly.olicc%ov aQL&LLr]TiY.f)g 
sigaycoyfjg loy. 8); Io. Phil. (sig rb tcqcotov rr)g Nlk. aQL&- 
Lir)TiY.i]g siguycoyf)g). — 4. sig //// 8vo G slg rcc 8vo mll 

I, G. coQioavro H — 9. gvvy.s%. P — cognsQ rsv.r. C — 
10. ccTtXcog] nag add. CaSHT 

NICOM. Ki). HOCHE. 



2 NIKOMAXOT rEPASHNOT 

Qag 6v6reCXag ndvrcov ro ovo^a eiti rr)v rov ovrog 
£7iL6rr\ixr\v xal %ardXr\tyLV xal \xovr\v rr)v ev rovrcp 
yvco6Lv rrjg dXr\&eCag 6ocpCav idCcog xaXe6ag eixorcog 
xal rrjv ravrrjg oqe£,iv xal ixeradCco^LV cpLXo6ocpCav 

2 TtQogrjyoaevOev , olov 6ocpCag 6q6%iv. d%io%Q£c6reQog 
de e6rt rcov aXXcog oQL&tievcov, jrao' o6ov idCov 6v6- 
liarog xal TtQay^iarog evvotav dr\Xol' xal ravrrjv de 
rr]v 6ocpCav cboCt,ero eiti6rr\^r]v rr)g ev rolg ov6iv 
aXrfoeCag, e7tL6rr\\xr\v [iev oi6[ievog eivai xaraXr\^tv 
rov vTtoxettxevov diirai6rov xal d\nera%Cvr\rov , ovra 10 
de rd xard rd avrd xal cogavrcog del diarelovvra 
ev rcp xo6>xcp xal ovdeitore rov eivai e\i6rd^eva 
ovde ejtl fiQa%v ' ravra dv eb\ rd avXa xal cov xard 
\jL6T0v6Cav %xa6rov Xoiitov rcov 6ixcovv(xcog ovrcov xal 

:) xaXovixivcov rode tl Xiyerai xal £6tl. rd (i£V yclg Vt 
6couarLxd drjnov xal vXixd ev dwjvexel qv6£l xal 
ueraftoXr] did itavrog e6n ixLixov\i£va rr)v rrjg 6% 
aQ%r\g didCov vXr\g xal vito6rd6ecog cpv6tv xal tdco- 
rr\ra' oXr\ yoQ dt 6Xr\g r]v TQeitrr) xal dXXotcorrj 
rd ds Tte^l avrrjv r\ xal 6vv avrfj &ecoQOV[i6va a6cri- 
uara^ olov TtOLorr^reg , 7to6oTr\r£g , 6%r\ixari6ixoC , {ie- 



1. ndvxcov om. CliSNT — 2. xovxco] ndvxcov add. SHNT 

— 4. y.ai post s lii. om. SHNT — 5. TtQogrjyoQ.] skccXs ■ 
osv NF — aocp. oq.\ Goqp. scpsaiv SHNT op. Iambl. p. 5. 
scpsa. ibid. p. 10. — 6. naQoaov codd. avvsaxaXfisvov add. T 

8 

— 7. ccvxrjv HNT — 11. naxd avxd T — diaxsXstvxa 
G — 12. dcpiaxdiisva SNT — 13. xavx ccv Pm xavxa d' dv 
('(iSHNT — si'rj] r/_ H — %al cov] nai [xa 11] didia, cov 
SH %al didia v.al cov CuT, cf. Iambl. p. 5. — 14. Xolti. s v.. 
NT — oucovvucov m -- ovxcov %al] "xai om. PC(iG 2 T oficov. 
ovxco TiccX. H — 15. Isysxai] stvai add. G 2 H — 17. scxl] 
siac T — 19. dXXoLOJxr]] tlsql xa vXcacc nai acoiiaxcAa add. 
SH {sdsi slnslv xQSTZxLv.r) v.ai aXloicoxitiT] Io. Phil. rj) — 
20. y.ai om. NT 



API0MHTIKH EISAT&rH. 3 

yeftr h {iiXQozrjzeg^ t6ozrjzeg, 6%e6etg, eveQyetat, dtcc- 
p fteoeig* zoitot^ xQovot, Ttdvzcc ditXcog, olg TteQteyeTcct 

4 tft cV exd.6zco 6c6{iazt, vitaoyet xa& eavza dxCv)]rcc 
xccl afLSTttitTiOTtt^ 6viifiefir]x6Tcog ds {isTsyst xal Ttaoc:- 

5 itoXavst tcov tcsqI ro vTtoxeC^ievov 6collcc ita&cov. 
tcov dr) TotovTcov e^atQSTcog e7tt6zrj[ir) e6zlv rj 6ocpCa^ 4 
6v{ij3epr]x6Tcog de xccl tcov iteTe%6vTcov avTcov , o 
Ctfri 6coaciTCOv. 

(5. 'AAA exeivcc ^cevdvXa xal dCdca xcctaTeXevTtjTcc II 
i" xal did rcavTog opota xal cczaQttXXaxTa itetpvxe diate- 
Xslv . cbgavTcog rr/ ccvtcov ov6ta eTttdtaytevovTa, xcd 
excc6Tov avTtov xvQtcog 6v XeyeTat, tk de ev yeve6et 
ze xal cp&OQa xal av%r\6et xal \ietco6et xal [leTafloXfj 
itavTota xal {ieT0v6ta cpaCveTat dtrjvexcog TQeTtoyteva 
m xa\ XeyeTat ycev oucovv^tcog exeCvotg ovtcc, xa&' o6nv 
avTcov iiexeyet, e'6Tt de zfj eavTcov cpv6et ovx ovTcog 
ovza ' ovde yaQ ro $Qayvzazov snl zavzov dtaytsvst, 
dXX' del iiezafiatvet Ttavzotcog aXXa666\Leva* xazd 
z6v TtttQa TLXdzcovt TC{iatov, og cpr\6t' zC zo 6v det\ 2 



II. Io. Phil. ty— xk. - Iambl. p. 6. 7. — Boeth. I. 1. 

Scliolia iVrin Nobbii spec. p. 11 — 16. 



I. 6(iiy.QozriTsg r. Io. Ph. i — laorr\rsg] uviaorrjrsg add. 
HNT, Io. Ph. l — 3. acofiuru T — v.u&' ccvzec C — 
4. 7. cvu^s^rjv.orcog G 2 bis corr. ex avu^s^rjyioru — 7. 6'] 

06U P 

II, 9. usv] vul add. NT — uvXu, uidia C — 11. suv- 
tcov CuSr — diausvovra CfiSHNr — 12. avrcov] uvrov 
1-i'dovg rovrcov u — ru] ravra CuSHNT — 13. xs om. 
HNT — 15. usv] cod. G. ? ex prj corr. — v.u&ooov codd. — 
10. tftq s. cpvascog P — uvrcov tiS — 17. stci tov avrov CuS 
— dtausvrj m — 18. usrafiaCvsi] ustuqqsl SHT (.istuqqsl 
xcfl usrufi. Ast — nuvroicog G 2 corr. ex nuvroiu — 
('(lXu666(isvov S — 19. TlkuTcovu S, cf. Tim. 27. D — ov] 
usv add. CuSHT 

1* 



4 NIKOMAXOT rEPAEHNOT 

yeveatv de ovx e%ov , xcd xi xo ytv6[ievov fisv , ov 
de ovdenore, ro fjtev dr) vor\aet (Jterd Xoyov neoifa]- 
tttoV, del xal xard rd avra 6V, ro d' av do^rj yter 
cciad-rjaecog aXoyov 6o%a6r6v, ytvo\iev6v re xal ditoX- 

3 Xviievov, bvrcog de ovdeTtore 6v. evXoyov aoa xal 
ccvayxatorarov , ei rov 7tQogr]xovrog xal dvd-QCOTtco 
7tQe f 7tovrog reXovg ecpteiAe&a. rovreaxtv ev^coCag (avrr] 
dl did cptXoaocpCag ^iovrjg , vcp' ereQOv de ovdevog 
avvreXetrat' cptXoaocpCa de 7](xiv. y cog ecpr]v , aocpCag 
o'of|tg, aocpCa de e7ttarr]\ir] rijg ev rotg ovatv aXiqd-eCag^ 
ovrcc de rd (tev xvoCcag Xeyoptevcc^ rd 6e Ofjtcovvijtcog)^ 
dxQtficog dteXelv xa\ ducQd-Qcoaat rd rotg ovat av[i- 

4 fieflrjxora. rcov roCvvv ovrcov rcov re xvQCcog xal 
rcov xa& 6ncovv{iCav , 6%eQ earl vor\tcov re xal ai- 
a&Y]Tcov, rd [tev eanv r]vco\xeva xal dXXr]Xov%ovixevcc. 15 
olov £coov, xoaytog. devdQov xcd rd ofiota, ccTteQ xv- 
oCcog xal IdCcog xaleirat ueyed-r], rd de dtr]Qr]ixeva re 
xcd ev TtaQad-eaet xal olov xard acoQeCav., a xaXetrca 
TtXrj&r] , olov 7toCixvr] , drj^iog , acoQog, %OQog xal rd 

5 TtccQaTtXr^ata. rcov aQa dvo eidcov rovrcov e7ttarr]fxr]v 20 
voatareov rrjv aocpCav' ccXX' iicsl Ttdv 7tXrjd-og xat 
Ttav fxeye&og ccTtetQa rv ccvrcov cpvaet e% dvdyxr]g 



1. ovx] fir/ SNT, ovy. in mg\ T — ysvoasvov m — 3. v.al 
0111. S — % «n« P — 4. yiyvoasvov Gm — zs om. HNT 
— 5. 6v] sXsys tccvtu 6 TifiuLog naoa nXdtcovi add. fi. — 

7. avTrj fi — 8. vcp' om. S — 9. rjfiLv] r)fi/// G ; 0111. 11. 
Igzlv CfiSNT — 9.10. oocp. scpsotg H, rin'mg. — 12. Sis- 

Islv] dis£sX&SLv (SlsXslv in mg.) S SlsXslv T, xs add. T — 
do&ocooaL P — ovfipsfiriKOTcog m — 13. cov xoivvv T — 
v.al v,aQ ,> T — IQ.dsvd. YOGfi. SHNT, iidem om. v.al — a T — 
YvgCcog] ts add. fi — 17. ts om. H — 18. Y.aXsLtai] x«I add. 
Gm — 19. %oq. gcoq. CfiSHNT, Boetli.; GTQaxog add. *S' — 
20. dvo a.Qa C — tovt. std. SNT — 21. vofiiGtsov] vor\- 
tsov SNT. — 22. dnsiQOv T — avTcov (l x ¥ suvxcov Sil 



API0MHTIKH EISAriirH. £) 

tatL (ro pev yccQ nXrjd-og d.Tto coQia^hnjg QC^rjg <xq£,c/,- 
ppsvov ov icavezca itQoxoitTOv , xo ds {isys&og c/.Tto 
5 coQta^isvrjg oXoTrjTog dLaLQOv^isvov ovdapij dvvaxai 

TCCCVSLV TY\V TO{lY]V, dXX' 87t' > aTtSLQOV dtd tavta TtQO- 
5 %COQ£l), Cil 6s 87tL6Trj[iaL TtaVTCOg 7t87tSQa6^L8VCOV sialv 

87tL6Trj[iaL, aTtSLQCov ds ovdsTtOTS, cpaCvsTaL drj, otl 
ovts TtSQL a7tlcog {isys&og ovts 7tsQL dnXcog TtXrjd-og 

6V6TCCL7] CiV TtOTS S7tL6Tr]fJLr] (d,0QL6T0V yaQ SXaTSQOV 

xa& savTO s6tl, TtXrj&og {isv STtl ro Ttlslov, peye&og 
io ds STtl to slaTTOv) , dXXd tisql tl aTt d^icpotv dcpco- 
QL6yLSvov, dito [ihv TtXrj&ovg Ttsol to Ttoaov , aito S's 
[isysfrovg 7tsQL to itr]XCxov. 

y. FLaXLV ds fj aQ%r]g , sitsl toi) 7to6ov to 
filv OQaTat xa&' savTo, ^r]ds^iCav TtQog dXXo 6%s6lv 

15 $%0V) OLOV aQTLOV, TtSQLTTOV^ TsXs/OV, TC^ SOLXOTCi , TO 

ds TtQog dXXo Ttcog rjdr] syov xal avv trj TtQog stsqov 

6%S6SL 87tLVOOV(.lSVOV, olov 6L7tXa6L0V^ {ISL&V, sXaTTOV. 

rj[ii6v, fjiiLoXiov, stiCtqltov , Ta eoLXOTa, dijXov otl 
ccqcc dvo {le&odoL eitLXr\^ovTaL e7tL6Tr]\iovLxa\ xal 



III. Io. Phil. h«- X$. - Iambl. p. 6—10. — Boeth. I. 1. — 
Theonis Smvrnaei Arithm.cap.I. — Schol. NT in Nobb. spec. 
p. 16—22. 



1. siat C — yccQ om. C — 4. dtd ravrr\g CpS oV ccv- 
rr)g NT — 5. cci ds al sntar. G, al ds S7ttarr\nat dnstQCov 
8s ovdsnors cpatvsxat, dXXd ndvrcog rcov nsnsQccapsvcov siatv 
8r)Xov dh oxt u — siaiv) sartv P — 8. nors om. PSN — 
sntar. Ttoxs Cyt — indrsQOv] xal adcl. jnPCuS, erasum in G 

— 9. Y.aft' sccvxb sv. r — nXsov HNT — 10. in [i — 
11. t.tsv] yaQ add. S — no60v G. 2 

111,14. avxoP — 15. otov] xsxodytovov ixdd.SHNT, Boeth. 

— 7tSQt66ov NT — -nttl xd G 2 — sofnmxcog m — 16. s%ov 
fjdr) C — 17. 7]fi. nst£. sX. CNT. — sXcceaov H — 18. xat 
xd G 2 — drjXovoxt codd. — 19. ccQd om. CfjtSHNT — oW 
Xtjipovrcct CuGoSHNr — sWr. post us&. CNT 



lll 



6 MKOMAXOT FEPASHNOT 

6LeVXQLV7]60V6L TtaV TO 7t£Ql TOV 7t060V OXB^l^lCC^ «OfcO - - 

(jltjtlxt) [isv ro TteQi tov xa& eavTo. [iov6ixr) de to 

2 rteol tov 7tQog dkXo. Ttdfav de eTtel tov 7tr]XCxov to 
pev eOTtv ev [lov-rj xal 6Ta6eL, to de ev xtvrjaet xal 
TteQLCpoQa, dvo eTeyac xaTa r« avTa e7ti6Tr\\iai axoi- 
(}co6ov6l to 7tr]XCxov^ ro (isv ^ievov xal rjQe^iovv yeco- 
lieTQta, ro de cpeQOfievov xal TteQiitolovv 6cpaLQLxr'\. 

3 oi5x aQa tovtcov dvev dvvaTov tcc tov bvTog eldr] 
a%Qifica6aL ovd' aQa tt)v ev Tolg ov6lv dXrj&eiav 
evQelv, r)g e7tL6Tr\\ir\ 6ocpCa, cpaCveTaL ds, otl ovd' 
oQ&cog cpiXo6ocpeiv ' OTteQ yaQ ^coyQacpCr] 6v\n$dXXeTaL 
Te%vaLg (5avav60Lg TtQog frecoQCrjg opO-or^ra, rouro' tol 
yQa\i[ial xal aQL&{iol xal aQ\iovLxd dLa6Trj\iaTa xal 
xvxXcov 7teQLitolr]6Leg TtQog Xoycov 6ocpcov {ia&t]6Lag 
6vveQyCr\v e%ov6LV, 'AvdQOXvdr\g cpr\6lv 6 IIv&ayoQL- 

4 xog. dXXa xal 'AQ%vTag 6 TaQavTivog do%6iievog 
tov aQiiovLXOv to ccvTo ovtco Ttcog Xeyei, ' xaXcog \iol 
doxovvTL TteQl Ta {ia&7]{iaTa bLayvcoyLevaL xal ovdev 
aTOTtov avTOvg OQ&cog, ola £vtC, TteQl exa6T0v cpQO- 
veecv. Tte^l yaQ Tag tcov oXcov cpv6iog xaXcog 6ca- 
yvovTeg e\ieXXov xal iteoi tcov xaTa \ieQog. ola evxC, 
xccXcog 6^ei6d-aL' Tte^C Te dr) Tag yeco\ieTQLXccg xal 
doid-\ir]TLxag xccl 6cpaLQLxdg itaQedcoxav du{iiv 6acpi\ 



1. ccl 6lsvy.o. Ast. — no60v G 2 — 2. ccvxo CNT — 
xo post Ss om. r — 3. S7ibl\ stcl PS — 5. xcc ora. P xccvxcc S 

— diccx.QLf5caGovOL H — 6. tjqsu. PH oqsu. G, — 9. ccxql- 
Pco6ccl post dvvccxov PC(i ccYQLfic66cc6ftoa H — 10. r) 6oq). H 

— 11 — 15. gwyQCCCpLCC &SCOQLCCg — 6WSQyLCCV S — 12. xoi 

oiii. m yccl add. H — 14. loyov P — 17. xb ccvto om. J/ 

— 18. So-hovvtl] to add. PS tol ??iC[iNr, cf.^Io. Phil. «a 

— ucc&rjuccTixcc P — 19. OQ&dig om. Cu^ — h%cc6T(a H — 
20. Tccg Gm Tccg P Trjg cet. — olcov] allcov m ///llmv G 

— 22. xs] xl G X P — yscousxQiccg G 2 C[iHNr — xccg ysco- 
usxot'ccg y.ocl uov6LY.ug v.cci ccQL&urjxiY.ccg S — 23. xal 6cpcciQ. 

OW.. CtP — CCIXUL H 



API0MHTIKH EI2AI\QrH. 7 

P 

6 dtdyvcoGiv, ov% rjxtGxcc 6e xccl 7teQt [lovGtx&g. xavxa 

yao xd ttccd-rj^taxa doxovvxt e^evcct ddeXcped' 7teQi 
ydo adeXcped xd xov ovxog itQCOXtGxa dvo eidea xdv 
dvccGxQOcpdv e%ei. xal UXdxcov de eitt xeXet xov XQig- 5 

5 xcadexdxov xcov voptov , 07teo xtveg cptXoGocpov eitt- 
yQacpovGtv, oxt ev avxco TteQtGxoTtel xal dtOQt^exat. 
TtoxccTtov %Qr) xov ovxcog cptXoGocpov eivat, dvaxecpa- 
Xcctov^tevog xd dtd TtXetovcov 7tQodtaXe%&evxa xal 
TtQodiafiefiatcoQ-evxa ejttcpeQet * ditav dtdyQatiiia aQt&- 

io ixov xe GvGxr\\xa xal aQ^ioviccg GvGxaGtv uztaGav xrjg 
xe xcov aGXQcov cpoQag xr)v dvaXoyiav iiiav avacpa- 
vY\vat det xco xaxd xQoitov ytav&dvovxi :, cpavrJGexcct 
<T dv o Xeyo^iev OQ&cog, ei' xig eig ev fiXeittov Ttdvxcc 
{lav&dvet' deG^tog yccQ djtdvxaw xovxcov etg dva- 

15 cpavrJGexca' ei de xig dXXcog [iexa%etQierxat cptXoGo- 
cpiav , xv%r]v del xccXelv GvveQyov' ov yaQ dvev 
xovxcov rj odoV itoxe, dXX' ovxog 6 XQOTtog, xavxa xd 
liad-rjiiaxa eixe %aXeitd eixe Qadta, xavxrj ixeov, 
dfieletv de ov dei. xov de xavxa itdvxa ovxco Xa- 

■20 fiovxa , cog eyco Xeyco , xovxov eyco xaXco Gocpcoxaxov 
xccl duG%vQi£o{iat itait^tov xe xal Gitovdd^cov. drjXov 6 
yccQ^ 6xi xXiaccti xiGi xal yecpvQcctg eotxe xavxa xd 



1. {iovglkgjv P txcoGL-nag CfiNT — xavxa 6s P — 2.8. 
usql y. ccd. G { om. — 4. TIX.] epin. 13 — XQigxaid.] l3iL3Xl'ov 
add. r xgsig ytal d. H — 5. ovtzsq CNT — 6. 7isqlgy.otisl 
om*. H gxotcsl SNT — nai diOQL&xai om. PC\i — 7. %Qr\\ 
dsi: PCimH — ovxcag om. PC — 8. xa G, ex xo//// [xovg?] — 
7iQols%&£vxa v.a\ dLaPsfiaLco&svxa SHNT, diaXs%&. (jl, ttqo^. 
C, nQog diaX. %a\ diafi. P — 11. oLioXoyiav CuSHNr, Io. 
Phil. "A.s — iiCav om. Jf, slvaL uiav uai dvacp. (i — 13. 
6 Xsyousvog (i — xa ndvxa SH aTcavxa NV — 14. uav- 
ftavrj NT — xovx. an. SHN xo xovx. aTt. r — 15. aXXog 
mC — xrjv yiX. NT — 17. xavxa ///// xa G, xavxa yaQ 
xa m — 20. xovx. dr) S — xov cocp. H — 21. xs~\ dfia S 
— 22. oxl\ <x>g H — xlglv rj SN ij v.al F — soiv.aGL NT 



uu&tjiiaxa dia($i($d£ovTa tiiv 6luvolccv t]iicov djto tcov 
ai6&r]T(k)V xccl do%u6Tcov inl tu vor]Ta xal i7ti6Tr]- 
liovlxu xal dito tcov 6vvTQocpcov t)luv xal ix floscpcbv 
ovtcov 6vvr]\rcov vXlxcqv xccl 6cqixutlxcov inl tcc atfv- 
wqfhj tb xal eTeQOcpvXu Jtgog Tug uL6d-r]6eLg , ti) 6e 5 
ccvXCa xal didioTtjTi 6vyyeve6TeQu Tulg r)ixexeQULg 
\\)V%alg xal TtoXv tcqotsqov tcq iv avTcclg vot]Tixco. 
xa&d xal 6 TtccQcc HXcctcovl iv ttj ltoXixeCcc XcoxQcarjg 
rou TtQogdiuXeyo^ievov uhCag Tivdg evXoyovg iiti- 
cpEQeiv doxovvTog Toig ijLU%-t]ijLu6Lv, cog ev%Qt]6Tu el6i 
TtQog tov dv$QCQ7tivov fiCov , t) ixev aQl&lU]TlXr] 7tQOg 
Xoyi6iAOvg xal diavorjLag xal 6vvecgcpoQug xal dpeC- 
ipeig xal xoLvcovCug, r) 6e yecoiieTQLa TtQog OTQccToite- 
dev6ecg TtoXecov tb xal lbqcqv 6vyxTL66Lg xal yecouo- 
QCug, 7] de (jlov6lxt] TtQog eoQTug xal &viir]dCug xul 
frecov &Qr]6xeCug , 6cpaLQLxr) de xal u6tqovo\lCu itQo 
yecoQytag Te xal vuvtlXCuv xal vd$ uXXug xaxuQydg 
tcqv itQu^ecov evyeQeCug xal iitLT7]deLOTr]Tccg TtQodrj- 
Xov6a, i%L%X7]TTCQv cpr]6Cv' cog r)dijg ei, otl eoixag 
dedLBvat^ (it) aQa u%QY]6Ta tuvtcc tcc iiad-rj^iccTcc TtQog- 
tcIttolixl ' to de ^6tl TtayydXe Ttov, ixdXXov de ddvvu- 
tov ' oaijLa yuQ Trjg t/jv yi]g vito tcov uXXcqv intTt]- 






1. fjiidiv xrjv 8. S — 4. bvtcov] zxi SNT, bvx. Hti H — 
5. ts] om. NT, {ihv CfiS — 7. uqcoxov P — xcov . . . vorj- 
xl-acov P, t& . . . vorjxco NT — 8. Jllax. cf. polit. VII, 9, 
10. — 10. xoCg pccd: dox. N — slgi] s6xl r — 12. 8iav. 

ee 

xal Xoy. NT — 13. 6XQaxon///8sv6 (j y.a.1 add. CpS — 14. 
6vyxrJ6SLs P 6vyKi6sis S — 16. xcu k6xq. om. S — 17. ys- 
cog///yLccg G -ctv SNT — vavtLliag C — 18. sv%SQSLag Gm 
svxQSiag P, in mg. : yp. svxaiQLag, quod schol. in ceteros 
inrepsit.^ — snLtridsLOxrjxog P — 7CQodr]lov6ai G 2 -0V6ag S 
— 19. sl] co lco6ts add. C Xco~6ts fi — 19. *20. solks dsdis- 
tttL P — 20. ayiQrfitov P — Taura om. a xd ua&. xccvxa 
Nr — 22. xrjg om. C 



API0MHTIKH EISArOTH. 9 

d£vijtdrcov a7torvcpXov\i£vov xal xaroQvrroijtsvov did 
rovrcov ijlovcov dva^cojcvQsltca xccl dveysiQbtca XQ£lr- 
tov ov cSco&rjvac ^lvqlcov 6co[iarLXcov oijLijcdrcov' [tovco 
yccQ avtco r) ttsqI tov itccvtog aXrfteta oQarca. 

d. TCvcc ovv dvayxatov 7tQCorl6rr]v tcov r£66c'c- IV 
Qcov tovtcov u£&6dcov ixfiavd"(xv£tv; ?j drjXovott trjv 
cpv6£L 7ta6cov 7tQOV7tdQiov6av xal xvQtcottQav aQ%r]g 
t£ xal QL%r]g xcd ofovd 7tQog tdg dkkag ixr]tQog koyov 
B7te%ov6av. F6ti dh ccvti] r) ccQtd-ur]tLxr) ov uovov, - 

lo oti £cpau£i> ccvtr)v iv trj tov teyyttov &sov diavoccc 
7tQOV7to6trjvaL tcov dlkcov cogavd loyov tivd xo6ijll- 
xov xal 7taQad£LyLtatix6v , 7tQog ov d7t£Q£Ld6^t£Vog 6 
tcov olcov dr]uiovQyog cog TtQog 7tQ0xivtr]ud tt xal 
ccQietvTtov 7taQc/.d£iyua td ix trjg vh]g ci7tot£l£6i.tata 

L5 xo6i.t£t xal rov oix£lov riXovg tvy%dv£iv Ttoisl^ dXkd. 

XCCL Otl CpV6SL 7tQ0y£V£6t£QCC V7td.Q%£L^ 06C0 6VV(CVCCL- 

Q£t usv savrr) td loLTtd , ov 6vvavatQ£Ltat ft\ ixu- 

1'Oig' OIOV tO ^COOV 7tQ0r£Q0V tov dvxTQCOTtOV Cpv6£l 

itStCv' ccvaiQ£&£vrog yo:Q tov t,coov dvcaQ£trcct xal 6 
iv avd-QCOTtog , ovxirt dh dvaLQ£&ivrog rov ccvd^QCOTtov 
6vvavaLQ£lrccL xal ro t,coov ' xal TtdXvv dvd-Qomog 
7tQoy&vi6r£Qog yQccuuanxov' ur) yaQ ovrog dv&Qco- 
Ttov ovdh yQcci.tuatix6g £<Sn, ur) ovtog ds yQcc^tatt- 
xov dvvatov dv&Qomov sivai' ojgts irtsl 6vvavca- 



IV. Io. Phil. Xy — Xri. — Iambl. p. 10. 11. — Theon. 
Smyra. 2. — Boeth. I. 1. — Schol. NT Nobb. p. 4. 



IV, 6. ty.ucc&stv Cu — 11. hoguiov P — 12. rj 7tagaS. 8 

— 14. dnoxsl. om. P — 15. dnonoousC P ovyy.. CSH — 
16. rcQoysviOTBQOg vtmxqxojv P — 17. uvxfj S — 19. dvtj- 
qy]xccl CS — 6 om. G — 21. GvvavrjQr]xai S dvrJQtjxai C 

— 21. 22. o ccv&q. . . xov yQ. CSH — ' 22. ydo om. P — 24. 
STisi ov ovvuvaiQSixai uS 



10 



NIKOMAXOT TEPA2HN0T 



3 QtL, dlV TOVTO XCU %Qt6^vrtQ0V. 

riov dt vtcortQOv Xiytxai xal v6rtQoytvi6rtQOv , o 
6vvt7ii(pbQtL LLtv iavrco ro Xomov^ ov 6vvt%LcpiQtraL 
dt ixtivcp^ olov 6 [iov6Lx6g' 6vvt7tLcpiQti yd.Q iccvrcp 
Ttdvrcog rov dvd-Qco%ov ' xccl %ccXlv %%%og ' 6vvt%t~ 
cpiQtrai yaQ %dvrcog ro t,coov rovrcp, ovx iiiicaXiv 
di ' £coov yaQ bvr og ovx dvayxalov tivai r i%%ov 
ovdt dv&QcoTCov v7caQ%ovrog 6vvt%LcpiQt6&ai llov6l- 

4 xov. ovrco xccl i%\ rcov %QoXt%fttL6cov i%i6rr]LLc6v ' 
ov6r\g Litv yaQ ytcoutrQLag dvdyxr] xccl rr)v ccQLftLLr]- 
rixr)v 6vvt7CLcpiQt6d-ca ' diia yag ravrrj rQiycovov rj 
rtrQaycovov rj oxrdtdQOV r) tixo6atdQOv rj di%Xa6L0v p 
■rj 6xra%Xc'i6LOV r rj ti^ioXlov rj aXXo xi rotovrov, 6 ytco- 8 
iitrQia Xiyti, xal ovx avtv rcov ixcc6rco 6vvt%LcptQ0- 
uivcov aQLd-Licov i%Lvoti6^ca rd roLavra dvvarai. ' i:> 
%cog yaQ oiov rt rQL%Xcc6c6v rt tivca jj Xiyt6d-ca ar) 
%Qov%oxtLiiivov rot> y ciql&ilov rj oxra%Xa6iov LLr) 
v%oxtLLiivov rov r] ; ^ll%ccXlv dt ttrj dv rd y xal rd 
d xal rd i£rjg llj) ovrcov rcov %ccqcowllcov 6%r]Lidn\w. 

5 6vvavaLQtl aQa r) aQL&LLY]rLxr) rr)v ytcoLitrQiav , aXX" 20 
ov 6vvavaLQtLrai vit ccvrrjg, xccl 6vvt%LCpiQtrcu llIv 
ixtivi]^ ov 6vvt%LcpiQtL dt ccvrrjv. 

V t. TldXiv dt i%l rrjg Lcovcfixrjg ' ov yaQ llovov 



V. 10. Phil. X&— LICC. 



Boeth. I. 1. 



1. 7tQS6L3vTSgog Ast. — 3. xo om. G x m , add. G. z — 
5. ndcvTcc G t m, -cog G % cet. — 7. ovv. G., — 8. 6vvs7tiopsQS- 
xca iiovaiv.6g P — 10. xr^v om. SC — 11. xccvxrj om. SC 

— 12. 8i7tXd.Giov\ r) XQi7iXcc6iov rj xsxQCinXcceiov _add. CS — 

13. rj dv.xcc7t\. om. C — rj r)iii6l. om. H — 0] cov G 2 SH — 

14. Xsycov P — S7icc6Tco/// G [»?] — 15. xcc tol.] tccvtcc CS — 
16. xs] ytcii add. G — rt om. P — 18. vtcohsilisvov om. CS 

19. TOOV Om. P 6 fl (O VVLMOV S — 21.22. 6VVS7tlCpSQSTCCl 

. . . ov om. m — 22. s-x.sCvrf\ vn' sxsivrjg CS 
\\ 23. tiovov om. P 



APIOMHTIKH EISARQrH. 11 

on 7tQoyeve6xeQov xo yv& avxo xov TtQog dkko, 
v.aftditsQ xo [isyu xov ^ieC^ovog xal xo 7tlov6iov xov 
7tlov6Lcoxe f QOV Ycci 6 av&QcoTtog xov TtaxQog, dlk' oxi 
y.cci cci [iov6iY.al 6v\icpcovCai 6lcc xe66aQcov, did Ttevxe, 

° did itaOcov Y.axd ccql%-^l6v eiGiv covo^aa^ievca' 6[ioCcog 
xal xovg aQ^ioviY,ovg loyovg aQLd-[ir}xixovg ndvxcog 
e%ov6iv , i) (iev 6lk xeGOaQcov eittxQLXog^ 1] de Slk 
Ttevxe rniLohog, i) de 6id 7ta6cov di7ckd6iog, XQiitXd- 
6Log de r) did 7ta6cov Sfia yo.1 did Ttevxe, xexQa7tXa6Log 

10 de rj xeletoxdxr] r) dlg dtd 7ta6cov. eYdr]l6xeQov ye 2 
[irjv r) 6cpttLQixr} di' ttQLd-cir]XLxf]g xvy%ttvei Ttdvxcov 
xcov 7tQogi]Yovxcov avttj 6xe^^idxcov ov {iovov, 6x1 
yeco{iexQCag ^iexayeve6xeQtt e6XLv (7) yaQ xCvr]6Lg cpv- 
6eL {lexd xr]v [lovrjvj, ovd' 6xl ttQ^iovCccg ex Ttccvxog 

15 e^elovg xd xcov d6xeQcov XLvr\\iaxa xexev%ev , dll 
6x1 yccI ttQid-ucov TteQLodoLg Ycii 7to6oxr]6Lv dvaxolttC 

X8 Xa\ 6v6SLg Xal 7tQ07todl6^Lol YCcl ttVK7todL6[lOl Y.CU 

e7n7tQogd-}']6eLg yoX cpa6eLg TtavxotaL dLaQ^QOvvxcci. 
cog ovv 7tQoyeve6xeQag cpv6eL Yal XL^iLcoxeQag xal 3 
20 7tQe6(5vxeQug cogavel [irjxQog ycu XL&r\vr]g Y.alcog tcqo- 
xeQttv xr)v xeyyoloyCav V7te6xj]6d{ie&a. xi)v de d.Qp]v 
xr)g xeyvo/.oyCag xov 6cccpovg Xciqlv evxev&ev tcoio]- 
6o{ied-a. 



1. ccXXo] stsqov CS — 4. 5. Si<x] 7] Stcc ter H — 
5. ccqi& G { ubv G 2 — 6voucc6xlkccl superscr. rjtoi ovouccgo- 
uevcu S — 7. s%ov6i G { v Go — 7 — 9. suCtqltov ... tjulo- 

XlOV . . . SlrtluGlOV . . . TQt7tXcC6L0V . . . TSTQCC7tXci6L0V CSH — 

10. xsXsLOTr]xcc P — 11. hntxvy%civ£L H — 12. oxi\ InEidr) 
CS — 13. (pvSssi] V6X8QK add. H — 16. nsQLodov P — 
18. cpcc68LS om. P cpcc///asLg G cpccv6sig m cpccv6sig S lunae 
variaiioyies Boeth. — 19. cpvescog P — xiuicoTccxccg H, in 
rag.: oIuccl xl^loxt\xl — 21. xr\v\ o:vxy H — xsyvoX?\ avxrjg 
add. Cr — sTTS6rri6. S 



12 



XIKOMAXOT rEPASHXOr 



VI g. Jldvta xa xccrd ts%vtxrjv dts^odov vtzo cpv- 

6ecog ev rco xo6ucp dcccreray^ievcc xccrd ueQog re xccl 
oXa cpaiverac xard doLd-[i6v vito rrjg TtQovoiag xccl 
tov rd oXa dr]^LtovQyr]6avrog vov dtaxexQiO&at re 
xccl xexo6ccrJ6d-aL fiefiaLOvuevov rov 7taQadeiy[iarog 
olov Xoyov 7tQO%aQayiiarog ex rou ejte%etv rov 
ccql&iiov 7tQOV7to6rdvra ev rr) rov xo6ccojtOLOv &eov p 
dtavoia, vorjrov avrov ^iovov xal 7tavrdita6LV dvXov, 9 
ov6iav ccevroL rr)v ovrcog rrjv didcov, cva itQog av- 
ro> cog Xoyov re%vcxov cmoreXe6&r A rd 6v\citavra ic 
ravra, %Qovog, xivrpLg^ ovQavog, cc6rQa, etleXcyciol 

2 itccvrolOL. dvayxalov aQa, rov e7tL6rr]ciovtxov r\or\ 
ccQtd-[i6v eitl rcov roLOvrcov vnaQ%ovra xa& eccvrov 

3 r\Qiio6%aL xal ov% vit dXXov, dXX* vcp' eavrov. tcccv 
Se r]Qcco6ccevov e'£, evavricov itdvrcog r]Qcco6rccL xal ov- u 
rcov ye ' ovts yaQ rd ccr) ovrcc aQcio^d-rjvccL old re ovrs 
rd ovra ccsv, ociolcc de dXXrjXoLg, o^rf rd dcacpeQovra 
aev. dXoycc de JtQog dXXr\Xcc' vTtoXeiTterca dr) rd^ ei; 
cov ccQLLo^erac^ xal ovra eivcu xccl dtdcpoQcc xccl Xoyov 

-± TtQog aXXr\Xcc e%ovra. ex rotovrcov aQa xal 6 e%L6rr\- 



VI. Io. Pl.il. up— vcc. - Boeth. I. 8. 



VI, 1. HccvzuG 2 in ras.(-fog?) — 2. xstayusvaS — 5. ao- 
0{irj6&cu P diav.SK. CS -accxccasa. H — diccpip. P — 6. in 
xov pro r», quod in edit. Wetfl. scripsi, e P restitui: ,,eo, 
quod numerus imaginis i?istar est u . ■accl olov Gm; post Xoyov 
add. ■Accl G. 2 nccQttd . s~a xov oiov ccQ%r)g Xoyov noo %ccQttyuccxog 
P oiov ccq%y)v -acci Xoyov nqo%. C, idem omisso olov S ofoi> post 
Xbyov H -accI olov <xo%rjg \6yov xal hqo%. JT sa xov dQ%r)g 
Xoyov -Actl olov 7Cqo%. coni. Ast. principale in animo condi- 
toris exemplar Boeth. — 8. avx6v~\ bvxcc add. CS avxouovov 
G — 9. xr)v aid. Gm -accl aid. C(i om. cet. — 10. ccnoxs- 
Xso&sCr] CS — 12. xbv stcloxJ] •accv avxbv praemittunt Cjjl — 
Yi8rf\ dr) CSH — 15. xb tiqilogu. CS — ndvxcc m — 18. 
uXXoya P — 20. sa xovxcov P 



API0MHTIKH EISATOrH. 13 

uovtxog aQtd-uog" edrt ycco rd ev avrco TtQcoTLOra 
eidr] dvo ovoCav re e%ovra ri]v rijg 7too6rr]Tog xal 
dtacpeoovra dkkr]kcov xal ov% ereQoyevij , TteQtrrov 
xal doriov , xal evakkdt, vrto d-avuacirr)g xal frstag 

5 cpvdecog dtr]QuoOuevcc dkkrjkotg d%coQtOrcog xccl evoet- 
dcog. cog avrtxcc elooue^a. 

£. 'AQL&uog eori irlrj&og coQLOuevov *} uovddcov VI I 
OvOrrjua rj itoo6rr]rog %vua ex uovddcov OvyxeCuevov^ 
rov de cIql&uov TtQcorr] rour) ro uev aQTLOv , ro de 

iu TteQLrrov. eOTL de ^qtlov uev^ o olov re eig dvo iocc 2 
dLaLQed-rjvca uovddog ueoov ur) TtaQeuitiitrovOiqg^ 
7teQLTTOv 8e ro ur) dvvduevov eig dvo ioa ueQLCjfrrj- 
vaL did rr)v itooeiQr]uevr]v rrjg uovddog ueOLreCav. 
ot)rog uev ovv 6 oQog ex rrjg drjucodovg imokrfyecog' 3 

io xard de ro IIv&ayoQtxov aQTtog aQt&uog eOrcv 6 tr)v 
eig rd ueytota xcd rd ekd%tOta xatd tavto rourjv 
eitt^e%6uevog , ueyiOta uev 7tr]ktx6tr]n , ekd%tOrcc de 
TtoOorrjTt, xccrd cpvOtxr)v rcov dvo rovrcov yevcov dv- 
rtjieitov&rjOLv , TteQLOCog 8e 6 ut] dvvduevog tovto 

20 TtafteZv, dkk' etg dvLOa dvo reuvouevog. ereQcp de 4 
tqotico xard ro itakaLov aQrcog eOrtv 6 xal eig dvo 
i6a rur]d-i]vat dvvduevog xal eig dvtOcc dvo . ztkt]v 

VII. Io. Phil. v$—'£u. — Iambl. p. 11 seq. — Theon. 
3—5. — Boeth. I. 3. — Schol. NT Nobb. p. 4. 5. 



2. xr)v xr\g yrjg noaoxrjxu P — 4. Qccvfiaaxov P — 

5. 7}Qll06ll. P SVTjQUOOU. CSH 

VII. IIsql ccql&uov ?n; in G lacuna, quam G.> hisce 
expleuit uerbis : "OQOg ciQi.Q-f.Lov ■aal d lcclqeg l q. — 'Oqol 
cIql&uov kccl xcov s tdcov ccvxov (i — 'OQoguQi&iAOvr 
— 7. ^AtiXcoq yccQ uql&ix. SH — nlfiQ'. coq. r\ om. H rj om. 
S — 8. %vucc G, %v(Jlcc ceteri, cf. Drac. Straton. 57. 6; 95. 25; 
100. 20. — 10. sgxl ds om. S — ccqxlov cf. Eucl. VII, 
oq.Sj £— 11. usGrjg CSH iv (isoco lo. Ph. vd — 12. [iSQiad:] 
dicctosd-ijvcci CSH — 18, xr)v cpva. CSH — 22. xusd-fjvat P 



14 NIKOMAXOT TEPASHNOT 

trjg ev ccvtcp ccQ%o£idovg dvddog ^dteQOV ro dL%ot6cir]\icc 
fiovov STtidsxo^ievrjg to eig l6a^ ev r)ttvt ovv tOLiij Tta- 
geLicpatvcov to etepov eidog iiovov tov doi&iiov, oTtcog 
dv dt%a6d-f], d\ieto%ov rov Xotitov ' 7teQt66og de e6ttv 4 
aQL&nog 6 xad 1 ' r)vtivaovv to^irjv eCg dvi6a Ttdvtcog p 
ytvo^ievrjv d^icpoteQa d{ia ettcpaCvcov td rou dQLd-\iov i ( > 
dvo etdr] ovdejtote dxQatcc aXXrjXcov, aXXa Ttdvtote 
5 6vv dXXrjXotg. ev de tcp oV aXXrjXcov oqco iteQittog 
e.6tiv 6 iiovdot ecp exdtega dtacpeQcov aQttov dQtft- 
^ov, tovte6tiv eitl to Ltel£ov xccl eXattov^ aQtLog de io 
o ^iovddL dLacpeQcov ecp' exdteQov 7teQt66ov aQL&ijLOV, 
tovte6tL ytovddt [ieC£cov xeci ttovccdt eXa66cov. 

VIII r\. Tlag aQLd-ixog tcov Ttao' exdteQa 6vvte^evtcov 

dcicc rjLtL6vg e6tt xal tcov viteQ eva exateQtoftev xet- 
Lievcov u^LOLCog r]LiL6vg e6tL xccl etL tdiv vTteQ exeCvovg n 

2 xal tovto LLe%QLg ov dvvatov. ^iovcotdtr] de r) {tovdg 
d^d to \ir) e%etv exccteQCod-ev ccvtrjv dvo aQL&Ltovg 
fVog liovov tov TtaQaxettLevov rj(it6vg e6ttv' aQ%r) 

3 aQa Ttdvtcov cpv6txr) 7] Ltovdg. xa& v7todtatQe6LV de 
tov aQttov to (iev aQttdxtg aQttov^ to de 7teQL66aQ- x 
tiov , ro de aQttOTteQtttov' evavtCa aev dXXrjXoig 

VIII. Io. Phil. l$—or\. — Iambl. p. -26—29. — Theon. 
5. 8. — Boeth. I. 4—6. — Schol. Nr Nobb. p. 5. 6. 

, $ 
2. j:7iide%0{i8vov G x -oiievog G 2 — Z0 ^V 01U - H — 

5. ////ciQift. G — CCVL60V P — 6. SUCpCiLVOVXCi, XOV CtQ. P 

— 8. cillriXcov] Go del. v. — 9. ciQL\T[Lov om. H — II. t?*a- 

TSQCi C £XUX8QCi XCi USQr) Io. Ph. 'E,Ci — CiQl&UOV 0111. SH — 

12. fiovddi om. P — il. xov tieqlgoov H 

VIII. OXL CpV6SL CiQXrj 86XLV Tj UOVCiq XOV Ci Q L & - 

uov H in mrg\ — 13. sv.clx£Qd\ tKaxtQOv Io. Phil. |/3 
■/.8LU8VC0V add, C — ovvxexreiuevcov S — 14. 15. xat xcov 
.... 86tL om. 6-'[, in mrg. G 2 — 17. civtr)q S — 19. tiovcig 
xciQ-' uvxo- diaiQS6ig ds P 



API0MHTIKH EI2Ar&rH. ]5 

cogTt£Q dxQorr]T£g to dgtiMXig aqxiov xccl ro ccqtlo- 
tc£ql66ov^ xolvov ds clucpotSQCOv cogTt£Q u£6orr]g xo 

Tt£QL66CiQTL0V . 

'AQTLccxcg ovv CiQtLog aQL&uog eGTLv 6 avrog w 4 

5 sig dvo i6a dvvd^isvog §Lya6$Y]va.L xara rrjv tot) 

ysvovg cpv6cv xal rcov iavrov usqcov otcot8qovovv 

tolovtov iycov dCya dLaLQsrov xal Ttdfov xard rcc 

avrd rcov iv ixeCvco u£Qcov oitorsQOvovv sCg dvo i6a 

bcaLQsrov xal [liyQig av sCg rr)v cpv6si dro^iov uovdda 

i«i xaravry\6\i rj rcov dsl VTtO[i£QL6[icov dcaCQscjLg. olov 5 

VTtodsCyaarog yccQiv 6 %d ' rovrov yd.Q rj{iL6vg 6 kfi 

xal roifroL» o tg xal rovrov fjuL6vg 6 rj xccl rovrov 6 

d xal rovrov 6 /?, sTtsira ro rslsvralov uovdg rovrov 

Tjfittisia, rjrcg cpv6sL dro^iog ov6a ovxstl £TtLd£y£Tca 

15 to tJul6v. TtaoaxoXovd-£L ds avrco xaC, 6 tl dv iv 6 

avrco asQog fo]cp&}]* Ttdvrcog d.QTLaxLg cIqtlcovvuov 

slvcu rr)v TtQogijyoQCav , ro ds avro xal tij Tto6oT)]TL 

rcov sv avrcp uovddcov aQTLccxig ccQTLodvvauov, ur]- 

d£TtOT£ 61 £T£QCO y£V£L XOLVCOV£LV £XaT£QOV TOV~ 
.'0 TCOV. UT]TOL 8e d.QCC XCcl TtCCQCC TOVTO aQtidxig aQ~ 7 

TLog cov6ua6rai , otl avrog aQTLog cov xal rd 
usQrj xicl rcc rcov usqcov usqj] usyQi uovddog ccq- 

1. vctl xo] to om. G — 3. nsQLaactQTLOv] xov rs lxqtlcc- 
v.Lg ccqxlov Y.ctl ccQTLonsQiaaov acld. S 

VIII, 4. O q o g tov ciQTidv.tg cIqtlov Ginmrg. UsqI 
d,QTia,Y.Lq ccQTiov CH, cf. Eucl. VII, oq. 7] ; Iambl. p. 37.41 ; 
Io. Phil. '6,7}, praef. p. V. — 5. dL%ctod"r}vca) rftry^^vat SH — 
7. s%ov GP, om. C — ulqstov G y , 6l add. G., — 8. sv 
om. G^P, add. G.>SH — sy.slvcov m stislvovC — 9. cpva/// G { 
cpvasi, G 2 cpvaLv P — 10. vTzodictLQsaLg S — 11. %ctQiv\ 
saTco add. C — xo rjfiLav H^ — 12. rjfitavg om. CH — 13. 6 
^] ncilLv praem. SH — slxct SH — 13. 14. xovxov rjLiiav 
H — 14. nctQu8s%STctL S — 17. rr} nQoqrjyoQLct G>CSH, 
avTfj add. »S — 18. ctQTictYLg om. P — 19. ds om. G — 
•10. (irjxi G. t CSH lit) ctQct Io. Phil. ££ — ctQct om. C — 21. 

22. V.CU TCi LLSQY] om. C 



16 MKOMAXOT rEPAEHNOT 

ria del eyec ovouaTL rt y.al dvvdfiW xal eTeQcog Ttdv 
ueQog, o idv eyj t , ttQtidxig Ccqtlov xcctcc tc) ovoud p 
i6tc, to de avto y.ccl cxQticcxLg aotiov i6tt y.atd tr)v n 

8 dvvaucv. yeveatg de tov ccQttccy.ig ccQtCov., cogte ur]- 
devcc dLCccpvyelv , d)X i% evog itdvtccg vitoitiittetv :, 

ccvt[ t . el yevoito dv ovtcog' dito uovddog cog ccito 
QL&]g y.atd tov dt7tld.6tov loyov TtQoycoQOvvtt ueyQtg 
aiteLQOV., oool y.a\ dv yivcovTca. ovtoi TtdvTeg ccqtlcc- 
KLg aQTLOL etOcv. dllovg 61 Ttaocc rovTOvg ccur\yavov 
e6Ttv evQelv, olov TtQog VTtodetyua iu 

a, /i. d. rj. tg. kfi. gd^ Qxr h <7/'g. cpiji 
10 xai ecp' ocjovovv. ey.aOTog dr) tcov TtQOxetuevcov ye- 
yove uev xcctd xov aito uovddog 6iitXa6iova del koyov., 
vTtaQyec de ccQTtdxLg cxQtiog itdincog y.ccl itccv 6\ ue- 
Qog , av evQefrfj eycov . TtdvTcog y.a\ TtccQcovvuov 
i6ttv evog tcov ivtog avtov xal uovddog 6v6tr]ua 
iv tovtco vitd.Qyei toOOVtOV ., 6it66og tcov ivTog ccv- 
tov elg tcg e6tC. y.cctd ccvttiteQL6tcc6tv uevtot y.cci 
duoL$r]v , idv uev cg6lv kqtlol cct ix&etfeLg tcov dito 
uovddog dt7tAcc6tcc6ucov ' utcc uev ovy oTcc te ue6otr]g 
evQe&rjvaL, Ttdvtcog de 0V0, cccp' cov ccQyouevr] 7) 'dv- 
ti7teQL6tcc6tg y.cci duotfir) ueQCOv TtQog dvvduetg y.ca 



1. ctsi om. II — tztQcog] otl atkl. PSH — - 2. tctv GP, 
civ cet. — 3. taTcti H — sart, om. H — 2. 3. ctQTici-nig 
. . . ctvto Kui om. C — 5. diaqpsvysLV H sv.cpvysLV (dLaqpsv- 
^stccl) Io.Phil. o/3 — s'g svbg] s£rjg G 2 SH, tij, sv. in mrg. H 
— navTct H — 6. sl Gm x«t PH, om CS — dnb t.iov. cog 
om. P — 8. Hui om. CSH — ctv om. P — ysvotvxo CS 
yCvcovTCtL H — 10. tativ om. SH — svqslv om. G m — 12. 
8r\ yctQ mC dh II — tcqoy.slu,.] tzqosiqtjusvcdv C — 13. ccsi 



0) 



om. C — Toaovrcov C — 67rd(7or P -cov CSH — 19. llsv 
coaiv\ usllcoaiv P — ctQTtctL S — 20. ov%\ ovv praera. G ly 
del. G. t 



API0MHTIKH EISAr^TH. 17 

8wd[lSC0V TCQug [ISQr] 7tQ0%C0Qr]6SL %a%Sl, TtQCOtOV [ISV 

siti xovg ticiq' sxdtSQa 8vo , sha STtl tovg vtlsqxsl- 

psvovg sxatSQcodsv, [is%Qig av sitl tovg dxQOtdtovg 

dcpixrjtai, cogts xal tb olov dvtLTtaQcovvyLSiG&ai tfj 

5 {iovddL xal tr)v [lovdda tco bkco' olov Xbyov %aQLV, 

sdv tbv qxy] %-co^isv tbv {isyLGtov, aQtLoysvslg s6ov- 

taL avtco aC sx&s6sig tcov oqcov, bxtco yccQ al {is%QLg 

avtov 7ta6aL, xal [iCav \is6otrjta ov% r s\ov6Lv , c}8v- 

vatov yaQ sv aQtCcp, dll' dvayxaCcog 8vo, trjv ts 7] 

10 xal tr)v tg, cutLvsg dvtaitoxQLVovvtaL aXXrjXaLg itaQa 

psQog' tov yaQ okov tov Qxr] bydoov [isv s6tL td 

tg, S[i7tafav 8s sxxaLQsxatov td r]' xal TtQOLOvtsg scp' 

sxdtsQOv tstaQtov pev td A/3, tQLaxo6tb8vov 8e td 

d, xal TtdlLV rjaL6v ixev td £#, s^rjxo6totstaQtov 8s 

15 td /3, xal tslsvtalov xatd tdg axQotr\tag sxato6to- 

SLX06tby8oov psv r) [tovdg, bXov 8s xatd tr)v [iovd8a 

syLTtalLV td Qxrj. sdv 8s sv 7tSQL66olg OQOLg r) sx&s6Lg 11 

ysvrvtaL^ olov sv sittd^ 7tQO%SLQL6a\jbSvcov r)\ncov td £d, 

19 r) tis6otrjg dvayxaCcog \iCa s6taL xatd tr)v tcov 7tSQi6- 

p 6cov cpv6Lv xal avtr) [isv savtfj avtaitoxQLvsttaL 8id 

12 tb 6vt,vyov (irj s%slv , ol 8s sxatSQCodsv avtrjg dsl 

aXXr]XoLg, \is%QLg dv slg td dxQa r) dvta7tbxQL6Lg ts- 

lsvtr]6\]' oiov s^r]xo6totstaQtov [isv r) [lovdg s6taL, 



2. srtl xcc P — slxcc sitl] slxcc vtcsq GmPC slta snl 
xovg vTtSQ sv.sCvovg vtcsqk. S — 6. ccQXLoysvstg] UQXLonXr}- 
ftslg C -nlrjG&SLg (i, -xccystg mST -nccyscg H — 7. ccvxov 
CS — 9. 10. xr)v] xbv bis G Z CSH — dUfjlocL P — U.xcov 
QY.T] P — f 12. s&cud. 7nG 2 — TtQoiovxsg GP (intell. of 
ccQXLCc>iLg ccqxlol . . s%ovol cf. Io. Phil. oy.) tcqolovxl ceteri. 
— 13. skccxsqcc C — TQLCcKOGxodvo G x v add. G 2 — 14. 
s'e > r]Y.ovxaxsxccQT,ov G{P — 15. snccxooxosLKOydoov P — 18. 
7tQ0xsiQr}0cctj,svcov P — 19. fxsooxrjg] nccvxcog add. H — 20. 
ccvxr)] ccvxrj P 

xioom. I.D. hociie. 2 



18 NIKOMAXOT rEPASHNOT 

6'Aov ds xaxd xrjv [lovdda £6% xal rj\iL6v [isv xd A/3, 
XQLaxo6xodvov ds xd /3 , xccl xstaoxov [isv xd tg, sx- 
xaLOsxatov ds xd 6% oydoov ds avsv dvxidiaOtol^g 

12 at;Ta td r\. 6v\i$s$y\xs 6s 7ta6atg tatg sx&s6s6l 6vv- 
ts^si^isvaig 6coQr\d6v i'6aig slvai tcp \ist' avtdg 7caod 
liovdda, cogts dvayxaCcog r) oTtcogovv 6vyxscpakaCco6Lg 
7tsoi66og aQLd-[i6g s6tai' alsl yaQ 6 itaQa \iovdda 

13 i6og tcp aQtCcp 7tsQL66og s6ti. %q7\6l\isv6sl d' r]\itv 
avtr\ r\ S7tlyvcQ6Lg, o6ov ovdsTtco, TtQog trjv tcov ts- 
IsCcov aQL&iicov 6v6ta6LV' VTtodsLyfiatog ds %aQiv 
tcp 6vg ot svtog avtov \is%ql \iovd6og l6oC sl6l 6vy- 
xscpaXatcod-svtsg TtaQa \iCav {iovdda y tcp ds qxy\ tcp 
sv&vg v% avtov ot svtog avtov Ttdvtsg 6\ioCcog sl- 
6lv l6ol TtaQa [iCav \iovdda xal totg 6vvs%s6l ds dsl 
xatd td avtd ot svtog, xa&d xal avtr] r) ^iovdg TtaQa 
[tovdda l6?\ tcp \ist' avtrjv, 6 s6tL tcp /?, xal ot 6vv- 
a^icpotsQOL TtaQa \iovdda tco \ist' avtovg xal ot 
6vvtQSLg TtaQa \iovdda tco s£>rjg, xal tovto sft ditSL- 

14 qov 7tQO%coQOvv d%taL6tov svQj]6sLg. xdxstvo 8s \ts- 
\ivr\6&aL dvayxaLOtatov' sdv \isv yaQ aQtLOL co6lv at 
toi) 7tQoxs%SLQL6\is'vov aQtLaxLg aQtCov sx&s6sLg, Ttdv- 
xcog xo VTto xcov dxQCOv TtQog dlXr\Xa 7toXv7tXa6La£ofis- 



1. nccxcc xr\v (tov. om. SH (lovccdccv P — xcc £# C — 
2. st-nccLd. mG 2 — 3. dvxLdicc6toXrjg] ccvxi G 2 ex al- 
tero dvsv corr. , dia6xoX.r}g SH — 4. r[\ om. G t onxeo add. 
G 2 — ' 6vvxt.&S(i£vccig C — 5. 6coQr)d G t 6v G. ? — i6ccg C 

— slvcu] ivl P svl HT, qui post ixovddcc add. yivse&cci 

— 6. 071060V0VV G 2 07Z06COVOVV S 07C060VV C — 7. S6Xl\ 

s6xccL SH — fiovccd G { -cc G 2 — %QT]6i(isv6r] P — svsl CSH 

— 9. yvoo6ig C — 11. xcb~ [xcov] 6vg G xoov hvg P — ccv- 
xov] nccvxsg add. CSH — cc%qi H — sfci om. S — 12. 
fiiccv om. S — 13 vn] fisx' H — Ttdvxsg] (i£%QL (lOvdSog 
add. H — 14. xcci sv xotg H — 18. 6vv xQsig P(G { ?) — 
20 ccQticci G 9 S — 21. 7tQ0KsxsiQ. om. S — ccqxCov] uql&- 
(iov add. H 



API0MHTIKH EILWI 5>TH. 19 

vav 6vvTeXov\ievov laov sGtccl tc5 v7to tojv \ie6cov Ttoog 
dXkr\ka, edv de 7teoi66ai\ to V7t6 tojv axocov l6ov toj 
dno rov \ie6ov 7to6g eavTO ' dita% ydo Qxrj ev doTCaig 
eK&e6e6iv i6ov e6Ti tcd oxTaxig tg zal iti tc5 dlg %d 
5 xal Ttdfav tcj TeTodxig Ifi xal tovto oV oXov' ev 
de 7teoi66alg e%%-e6e6tv i6ov to dita% %d tc5 dlg A/3 
nal tovto toj TeTodxig tg xal tovto TtdXtv toj oKTa- 
Xig 7} \lOVOV \IS60V TtQOg eaVTOV nollanlaGLa^ousvov. 

&. ' AoTioiteoiTTog de e6Tiv aQLd-\iog 6 toj yevet IX 
10 xal avTog aQTtog &v, dvTLdta6TeXXo\ievog de idLXCjg 
toj 7tQO(pQa6&evTL aQTLaxLg aQTlcp, 6 ty\v \iev elg dvo 
l6a dLaLQe6Lv e7tLde%6\Levog xaTa to kolvov yevog, 
toov \ievTOL \ieQOJV exaTeQOv evd-vg elg dvo l6a aT\it]- 
tov e%03v , oiov 
13 6 g, 6 ^, 6 l6, 6 L7]) 7] h/3, 6 xsr, 

ic ol 6\iolol ' \ieTa yaQ to dL%a6&rjvaL exa6Tov tovtcov 
doi%a6Ta evftvg Ta \ieQrj ei>QC6xeTaL. 6v\ij5ef>rixe de 2 
avTcp Ttav, o edv evQe&ij \ie r Qog e%cov, evavTLcovv\iov 
Ttj dvvdfieL eivuL xal %a6av \1eQ0vg 7to6oTr]Ta evav- 
20 TLodvva\iov toj 6vo\iaTL , \irj6e7toTe de \irjdevl TQOTta 



IX. Io. Phil. o^—nrj. — Iambl. p. 29— 31. — Theon. 
9. — Boeth. I. 7. — Schol. Nr Nobb. p. 6. 



1. SGXL S — VTIO] CC710 P 3. 6 Q-ATl PC SV d.QX.] 

svavxiaig H — 4. iGog PC — 7. na2.Lv om. II — 8. uovov 
G uovov xov ceteri — savxb u — noXkanlaGLa^. P, ante 
uovov G 2 , nolvnl. HT, om. G t mCuS 

IX. IIsql aQTLonsQ igg ov mCuHT IIsql xov clq- 
XLon. 8 — 10. stdiitng CSH — 13. axdxsQov G 2 [a?] — 
svfrvgom. S — 16. 6 ST, O i om. H — 16. v.ai ol ofi. CH — 
17. svQS&rJG&xaL H (svqlg-/,. in mrg.) — 18. av CSH — 
s%ov Gm — 19. slvaL om. H — ndcav [isq. mCS ndcav 
xrjv xov u. G ndcav xr)v xov u. PH — 20. ds om. G 

2* 



10 



20 NIKOMAXOT TEPAEHNOT 

oiJLoysvrj xr)v dvva^LV xov \iSQOvg xco avxco 6vo\naxL 
VTtccQXSiv' olov scp' svog xov ir\ xo [isv x\\il6v ao- 
xLocxcog covo\ia6\isvov v7taQ%SL & , 71sqi66ov xfj dvvd- 

fJLSL^ XO Ss XQLXOV S^LTtahv 7tSQL66C0g OVO[iaX07tS7tOLr}- 

\isvov g ccqxlov xfj dvvd[iSL' xo ds g ov £% ccvxl6xqo- 
cprjg y xal xo & ov /3, TcaTtl xcov sxsqcov 6 avxog 

3 svQsd-rJ6sxaL XQOTtog. \irjxoL ds aQa xal TtaQcc xovxo 
xoLavxrjg 7tQogr]yoQLag xsxsv%sv, oxt aQXLog cov tisql6- 

4 6cov xcov r)\iL6sv\idxcov sv&vg xsxv%r]xs. ysvvaxaL 
ds xai ovxog xcov aito \iovddog dvddL dcacpsQovxcov, 
o s6xl itSQL66cov , svxdmcog sxxs&svxcov , \is%QLg ov 
fiovksL , dvddL 7toXv7tXa6ia6&svxcov ' ot yaQ aTtoxs- 
X0V\lSV0L ySVOLVXO dv xd^SL ovxol 

g, t, ttf, lyj, xfa xg, A, 
%al {is%QLg av 7tQO%coQslv sfrsXrjg' dLacpsQ0v6L ds 
aXXrjXcov xsxQadL of \iSL%ovsg dsl xcov syyvg sXax- 
xovcov ' alxLOv ds xovxov, 6xl ol s% aQ%rjg yvcopovsg 
avxcov^ xovxs6xlv ol 7tSQL66oL\ dvdcJt dXXrjXcov vtcsq- 

5 cpSQOVXsg dvddt s\ir]y.vvd , r]6av , Xva ovxol ysvcovxaL^ 
dvdg ds dvdda 7toXv7tXa6La6a6a xsxQada Ttotsl. sv 20 

OVV XCO CpV6LKC0 VCpSL XOV aQL&\lOV SVQS&Y]60VXaL OL 
aQXL07tSQL660L 7tS\l7tXOL [ISV CiTt' dXXr]XC0V, XSXQa$L d\ 

V7tSQS%ovxsg , XQslg ds vTtsQJraCvovxsg, dvddi ds \ir]- 



i. avxov S savxov C — 3. ovouaou.G — xb ds & 7tsg. S 
6 ds & nsQiooog H — 4. covO[iaxo7tS7toir}usvov G — 5. 8v- 
vctusi Gm (H in mrg.) vTtoGxaGsi PCSH — ^ G x 0V G 2 — 
dvxiGXQOCpov tnC dvaGxQOcpov P dvu6XQ0cprjg S — 6. %~q ~ ov q 

xoi 
— 7. firjxi aQa S — 12. diddi G — nolXanXaG . CS — 
15. s&sloig C ftslrig S — 16. syyvg] \i add. : g%6Uov xtvbg 
dvcovviiov' dvayycaiov xxl. seq. Io. Phil. Schol. nd. — 18. 
v7tSQS%ovxsg C — 19. s///uiy.// '/vv&rjGav G { 1 in r\ mut. G 2 — 
ysvcovTai P ysvvcovrai S — 23. XQStg] XQiadi PH — 
dvddi 8s] ds om. G 






API0MHTIKH EISAI^rH. 21 

XVVO^ivCOV XCOV 7tSQL66C0V y8VVC0\LSV0L. SVCIVU071CC- 6 

dstv ds XiyovxaL rolg aQXLaxLg aoxioig^ oxl xovxcov 
\isv xo ixiyi6xov ccxqov \iovov diaiQSXov , sxslvcov ds 
xo skd%L6xov \iovov r)v ddiaiosxov' xal dr) xaC, oxi 
5 iit' ixsCvcov [isv r) avxiitSQi6xa6ig xcov \isqcov dit 
dxQOxrjxcov sig \is6oxrjxa rj \1s606rjxag ditsxiXsi xo 
vito~ l6ov xcp dito' rj xcp V7t6~' xovxcov ds xaxd xr)v 
avxrjv d\ioifir}v xal i%ixa6LV v7toOL7tXd6LOv xo \ii6ov 
xcov dvo dxQcov 6vvxs$ivxcov , r\ sl dvo slk\ xd \ii6a, 
lo xal avxd l6a d\icpoxsQa xolg dvolv dxQOLg. 

l. nsQL66aQXLog di s6xlv aQLd-pog 6 xo xqCxov X 

p sldog xov aQXLOv i\icpaCvcov , xotvog cov a\icpoxiQcov 

14 xcov SLQrjtiivcov cogavsl dvo dxQOxrjxcov \iCa XLg cov 

avxog \is6oxrjg' o\iOLog yaQ xaxd \iiv xl xcp aQXLaxLg 

15 aQxCcp VTtaQ%sL, xaxd di xt xco aQXL07tSQL66cp, xal cp 

[isv xov sxiQOv a7tr\XXaxxaL^ xovxcp xolvcovsl xcp 

XoLTtco^ cp ds xolvov xl s%sl TtQog sxsQOv, xovxco d^a- 

CpiQSL XOV XOLTIOV. S6XL $£, OXaV aQL&llOg CCQXLOg 2 



X. Io. Phil. n& — He. — Iambl. p. 31—35.— Theon. 
10. — Boeth. I. 8. — Schol. Nr Nobb. p. 6. 7. 



1. ysvofisvoi C (y s vycou,. in mrg.) procreatiBoeih. — 2. dg- 
Tidxoig ccqt. GP — 4. r]v om. SH — 6.7. Toig vnb rj tco dnb 
G 2 ( tco vnb r) dnb C to dno laov tco dnb tco [iEi£(p rj TOtg 
vno tov fiSGovP , in mrg-. f. intellegendum to vnb tcov 
ctKQOTrjTcov Igov to5 dnb Trjg (i sGOTrjTog r} tco vnb 
tcov jLSGOTrjTcov — 7. tovtcov] sn\ praemitt. G 2 H ini 
tcov^ dQTionsoiGGcov add. S — 8. dvTS^STUGiv G % CH %a\ 
v.ctT s^stugiv S — 9. sl om. G,m — r/ jtat dvo sIgC P — 
10. dvo H 

X. nsQ\ nsQiGGciQTiov codd. tit. om. P — 12. 
cov om. CSH — - 13. nQOsiQrjusvcov^ SH — 15. vnuQ%si om. 
H — 16. dnr]lav.Tcu P — 17. co] o H — tov stsqov H 
to C — 18. Xoinov] stsqov SH ' ■ 



sig dvo iocc dLaiQS&ijvca dvvcc[ievog duxiQoviLSvcc OLLoCoog 
xcc eccvxov LLSQrj s%rj , s6tl d' bts xal toov llsqoov xa 
llsqyj^ ll£%Ql llsvtol LLOvddog lll) dvvaLLSVog ty\v toov 
llsqoov XvOiv dyayslv' olog s6tlv 



xd. 



o xr\, o ll 



rjcLL6v llsv yccQ sxa6Tog tovtoov l8lov s%sl xal itdv- 
Toog rjLLL6ovg rjLLL6v' s6tl 6' ots ev avTolg TLg svqC- 
6xst^l xal e%\ Ttkeov tov dL%a6LL0V S7tLds%OLLSVog sCg 
Ta LLS f Qrj^ ovdelg llsvtol to %aoa7tav lls%ql Trjg cpv6ec 

3 aTOLLOv [lovddog Ta llsqij LLSQL6Ta sig rjLLC6rj s%sl. too io 
llsv ovv 7tXsCovag LLLag TOfirjg s%Lds%s6&aL OLLOLOVTaL 
llsv too aQTLamg aQTLQO, dcpi6TaTaL ds tov aorto- 
%sql66ov, too ds llyj ditolrjysLv TtOTS sCg LLOvdda av- 
tov rdg TOLLag OLLOLOVTaL llsv too aQTL07tSQL66oo, dcpC- 

4 6TaTaL ds tov aQTLamg cIqtCov. 6vLLi3sxrjxs d' avToo 15 
llovoo vcp* sv t« maTSQcp sxsCvoov CdCoog 6vLL$s$rjxoTa 
xcci itdfav a {irjdsTSQco' xal yaQ sxsCvoov 6 llsv to 
LLsyt6Tov llovov {iSQog si%s tllyjtov, 6 ds to LLLXQOTa- 
tov llovov cctllyjtov , ovTog o\ ovdhsQOV' itlsCova 
llsv yaQ tov svog TivqiiaTa h xco fisCfrvL lvsqsl s%cov 
OQUtai , nXsCovu Ss xov svog uxfirjxu SV T03 sXaTTOVL. 

5 Xal 7tdA.LV S6TLV SV aVTOO TLVa LLSV LLSQrJ LLrJ SVaVTLOO- 

WLLOvvTa Tcdg 8vvc<,lls6l LLrjd' hsQoysvovvTa JtQog 

1. SiaiQOviisvog P — 2. s%sl P s%cov C — 2. 3. soxl 
8' . . . fiSQrj om. H — 3. u%ql H — llsvxol om. G t ; tuetur 
Io.Phil. hu — 4. XvglvG — 5. 6 ■nd] 6 t/3 praemittit P — 
u] firj PH — 7. sv avxoig] -nal xav iv avxqj H — 8. stcl- 
8s%6(jlsvov P — 9. cpvasL om. H — 10. dxofiov om. S — 
rjULOv P — 11. xofiag H xdg xofidg S — 13. uovudag H — 
16. (iovco om. C — vcp' *sv s%slv xdg svl. sy.sCvco P — 17. 
a\ xd S — firjSsxsQcp) s%slv add. G 2 — v.al ydo] oxl S — 

19. OVTOg Ss OvS.] XOVXCO Ss OvSsXSQOV XOVXCOV V7iaQ%SL P 

id. S, om. xovxcov — 20. xfirjuazog P — 20. 21. sv xco fi. 
, . . dxftrjxa om. G t mP — 21. OQaxai] v7iaQ%ei S — 22. 
j~6x\v] nuvxcog add. G 2 CSH 



API0MHTIKH EI£Ar&rH. 23 

avrdg xar eixova rov aQrtdxtg aorCov , eve6rt de 
itdvrcog xal sreoa evavrtcovv\iov(jteva ereooyevag 
vito rcov dvvd[iecov xar eixova rou aQrio%eol66ov' 
otov ev rcp xd ovx evavrtcovv\Let \iev {leoi] dvvdfjte6i. 

5 reraqrov g, rj\it6v t/3, exrov $, dcodexarov /3, evav- 
rtOTtad-et de rotrov rj , oydoov y, eixoGroreraorov a ' 
xal eitl rcov kotTtcov 7taQaitkr\6Ctog. yevvdrat de 6 
ovrog etpodcp rtvl itoixtXtoreoa arj^tatvcov rooitov rtvd 
xcd ev rfj yeve6et avrov, ort \ity\ia dpcporeQcov eartv ' 

io eTtetdr) ydo 6 (iev dortdxtg dortog e% dortcov vcpC- 

Grarat rcov djto ytovddog dtrtkaoCcov eg deC^ 6 de «o- 

p rt07teot66og dito 7teot66tov rcov dito rotddog itQOtov- 

15 rcov ig deC , dvayxatov rovrov et, dyLCporeocov rcov 

yevcov 6vvvcpaCve6&at, cbg xotvov dpcporeocov. ex&co- 7 

15 [ie&a dr) rovg dito rotddog Tteotrrovg idCa evrdxrcog 
ev evl 6rC%co 

p, € , £, fr, ia, ty, tf, £, i# 
zra ecpe%r)g, rovg de diro reroddog dortdxtg dorCovg 
itdktv ecpe^rjg ev ereocp 6rC%cp xard rr)v rd%tv rrjv 

20 avrcov 

o, >7, tg, A/3, |o\, ox^, 6vg 
xal ecpe^rjg, \te%Qtg ov (iovket. dito OTtoregov dfj 8 
6rC%ov (ddtdcpoQOv ydo) rcp TtQcorcp xetiievco aQt%\xcp 
7tokv7tka6Ca£e £5 aQ%r)g itdvrag e$fjg rovg ev rcp 

25 kotitcp 6rC%cp xal rovg aTtorekovytevovg 6r]\ietov, eira 

2. Y.cu G 2 in ras., hccl ante vnb eras. G — 4. ovv. om. 
G t mP — [isqoq Gm fisgsL S — 6. oyd. y ora. H — 7. 
7taQC£7iXr)6.'] oaoLcos H — Ss] kccl add. P — 8. tlvl om. H 
— 10. yiecl i£ P — vcpLOtdTO mCH nascebantur Boeth. — 
11. dLTtXaaCov G — 13. sg om. m — 14. Gvvvcpccvso&ca G 
GvvvcpLGTccofraL H — 17. i&\ %a, ny, ks, «^ add. H — 
18. ocqtlov P — 19. sv om. G — v.ara ttjv suvtcov tcc^lv 
CSH — 21. o*ri, hvg P cpLp add. CS cpip, axd HT — 
24. noXXanX. S 



24 



NIKOMAXOT TEPASHNOT 



TtaXiv tov ccvtov 6tC%ov tco devTeQtp ccqi&hg) Ttolv- 
7tXa6Ca£e rovg avzovg avco&ev, jie%QLg ov e%eig , xal 
Tovg yivo\ievovg ditoyQdcpov' eha tco tqCtco Ttdfav 
ccQi&inp rovg avTOvg dvco&ev, %ai \ie%QLg av 7tQO%co- 
Qtjg, ovdeveg aXXot 6ol aitoyevvr\OovTai itXr\v ol ite- 
9 QiG6aQTioi. %ccqlv de vitodeCy^iaTog %Qrj6co\ied^a Ttp 
71qc6tco aQL&{icp roi; 6tC%ov tcov 7teQt66cov xal txoXv- 
7tXa6La6co\iev avTco Tovg ev tco eTeQCo 6tC%co Ta%et 
TtdvTag, 

TQlg 6% TQlg rj, TQlg Lg, TQLg A/3, 
xal tovto pe%QLg dneCQOv' e'6ovTaL yaQ 

ifc xd, [irj, 5g, 
ovg del GrnieiaGaG&ai ev evl 6tC%co' efaa aTt aXXr\g 
dQ%rjg Ttdltv tco devTeQcp aQLd-^ico ro avro TtoCeL^ 

TtevTamg 6% itevTamg r\, Ttevrdiug tg, TtevTamg kfi ' 
aTtOTeXe6ftr]6ovTaL yaQ o r Cde 

*5 ^ X, o£ ' 

eha Ttdktv tco tqCtco aQL&\Lco tco £ to avTO TtoCet^ 
eTtTaxLg 6*, eitTamg r\, eitTaxLg tg, eTtTdxtg Xj5' 
ol yd.Q yLVoyuevoC el6LV 

w\, vg, oi/3, 6xd, 
ual xaTa Ta avTa^ [ie%QLg ov flovXeL, 7tQO%coQelv 6v[i- 
<pcovrJ6eL 6ol ' 



10 



15 



2. avzovg om. H — ; 2 — 4. fis%QLg . . . dvco&sv om. P — 
2. ov s%SLg\ otov s%sig C ozov s%rjg H — 2. 3. nai zovg 
ysvvcatisvovg unoyo. post dvco&sv H — 3. ndlLv om. H 

— 4. 7ZQO%coof}g S -i] ceteri. — 5. dnoysvrjaovzai GP — 
6. ^QrjOOfis&a H — 7. azi%ov\ zov acld. S — nolvnlaOLa- 
aousv H — 13. ds£] dr) H — sv zivi azi%cp S — 14. 
noisiv CSH — 18. zoizcp om P — TtoirjasLg CS noisiv H 

— 22. v.ai om. P 



API0MHTIKH EI2Ar&riT. 



25 





7 


• 


t 


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lu 


LV 


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l<5 


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010 


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vary 


cobz 


uiphfi 




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o{3 


(>U<? 


GTCTj 


cpos 


UQV(3 


fix8 




u8 


n~ 


po=r 


xv$ 


y8 


UVTJ 


ficOLZ 



* S ^ ? o 

«.- :L o 2 *•> 

O ^ Q/ 



j^nxoc. 

oxav dr) xovg i% ixaGxov itolvTtkaOLaO\iovg iv CdCcp 10 
io 6xC%cp xdfyjg 7taQakkr\lovg 7tOLOV[ievog xovg OxC%ovg, 
cpavroexaC ool ftavfiaOxcog xaxa \iev xo itXdxog 6v\n- 
flalvov xo xcbv doxLOTteQLOOcov' CdCco^ia^ oxi del xcov 
dxQGJV o iieOog VTtoOLitXaOLog^ el elg eir\, el de dvo 
{ie60L) lOol xaxd 6vv$e6iv ' xaxd de xo \irJKog xo xcZv 
15 aQXLaxLg aQXLcav' xo yaQ vito~ loov xcp dito'^ sl \iCa 
eir] [leOoxrjg, r) xcp vito' , el dvo eirjOav' cogxe xd d\i- 
(poxeQcov LdLc6[iaxa xovxcp \iovcp 6v\i^e^r]Kev^ cog ovxl 
cpvOLKcp \iCy\iaxL avxcov. 

La. Tov de TteQtOOov kol itdAtv Katf vTtodtaCQe- XI 
20 Olv dLaKeKQijievov itQog xov aQxtov kol Kaxd \irjdev 



XI. Io. Phil. *is— 4£. — Iambl. p. 35-37.— Theon. 
5. 6. — Boiith. I. 9. 10. — Schol. NT Nobb. p. 7. 



1—8. Scheraa praebent G^CfiST, cf. Iambl. p. 35. — 9. 
noXvnXu6LU6^ov PCSH — 10. Tafic m sxto^c P svxu^rjg 
S — nuQuXXrjXcog PH — 12. 13. TOts ctHQOig 6 us6og 8l- 
tcXccgsl P — 13. s Irj C r) cet. — 14. i60i~ sfci kuxcc evvft. 
xolg 8v6lv ccHQOLg H — 16. rj xoig vno H — SLr\6uv om. 
H — xu~ xtov add. H 

XI. TLsqI xov n sql66ov GmH, z/ iccCQS6ig xov 
n sqlxxov N, IJsql nsQ l66ov cco l&uov T, om. cet. — 
19. nsQ. ccql&uov nccXLv S — xa^ vno8. om. H — 20. 
8iccnsyiQLuusvov P Slccxqivousvov C 



26 NIKOMAXOT TEPA2HN0T 






XOLVCOVOVVTOg, £v7t£Q ix£LVOg [l£V dL%r) £ig l6a dtCCLQ£ 

to's, ovrog 8% £ig dvo i6a ddiaCQ£rog, TQia o^oicog p 
£i'drj £VQC6x£rai aXXy\Xcov diacp£QOvra, cbv ro [i£v xa- 16 
X£irai tcqqjtov xal a6vvd-£rov, TO $£ aVTLX£Cil£VOV 
rovrcp d£VT£QOv. xal Gvv&£tov , ro dh iv [ierca%[iicp 5 
diicpOLV tovtolv %£cqqov\x£vov cog ii£6orrjg iv dxQO- 
ty]6lv , o xaQ-' iavro ci£v 6£VT£qov xal 6vv&£rov, 
TCQog aXXo d\ itQcorov xal dovvd-£Tov. 

2 TO Ll£V OVV 7tQCQTL6T0V £^Og TO TtQCQTOV Xa\ 

davvd-£TOv yCv£raL , brav aQL&Liog 7t£Qt66og lioqlov io 

Lirjdlv £T£QOV £7tL6£1Y\TaL, £L LIYJ TO TtCCQCQVVLlOV HiVTCO. 

o xal b% dvdyxrjg Liovdg £6raL, olov 

6 y, 6 f , 6 £, 6 t«, 6 t^, 6 t£, 6 */fr, 6 xy^ 6 ;«#, 6 A« * 
rovrcov $£ £xa6rog ovd£LiLa LiYj%av(j £VQ£d-rj6£rat 

£%COV £T£QCQVVLLOV LIOQLOV, dlld LLOVOV TO iaVTCQ 7ta~ 

qcqvvliov xal tovto LLOvdda itdvrcog iv ixa6rcp' 6 
Li£v yaQ y liovov tqCtov [to iavrov TtaQCOWLiov xcd 
rovro Ttdvrcog Liovdda] , 6 d£ £ liovov TtiLiTtrov nccl 
o £ fiovov sfidouov xal 6 ta llovov ivdixarov, xal iv 

3 7ta6L ravra rd LiiQrj Liovdg v7taQ%£L. rir£v%£ dl rov 
ovoLiarog rovrov, otl rcp xolvcq Ttdvrcov aQLd-Licp xa\ 

1. 8icciQ£z6g\ 6 aoxi.og add. H — 2. ovzog Ss] nccvxcog 
add. S — ccSlcclq.] Slcclq. G { — 4. ccvxlkslusvov] ccvxl&s- 
xov S — 7. o om. H 

XI, 2. IJsql n QCOXOV KCCL CCGVV &SX0V C — 11. sccv- 
xov SH — 13. artic. abest a libr. Mon. — 14. ds] yccQ G 2 
in ras., CSH — 15. uovov] uoqlov Ast. — sccvxov SH — 
17. yccQ om. CS — y om. P — xb sccvx. tcccq. om. C, om. 
savx. superscr. S — 17. 18. [zo ... {lovccdcc] delenda 
censeo. — 18. nccvxcog om. CS — 18. 19. xal 6 ^ 
fiov. sfid. C sol. — 19. svdsxccxov] v.ai 6 xqlcc%ovtcc, *sv 

XOLCCY.06X0V flOVOV add. P HCci 6 la XQLCCHOGXOflOVOV SH — 

20. xccvxcc] nccvrcc add. CS — fiovccg] fiovcc Ast, haec (pars) 
imitas Boeth. I. 10 — 21. ccqi&ilco] usxqlo G 2 CSH nullus nu- 
merus metietur Boeth. I. 10, cf. Io. Phil. h? 



API0MHTIKH EISAr^rH. 27 

7tQC0TL6TCp {lOVCcdl \10V7] dvVCCTCCC \L£TQ£L6&aL, ETEQOJ 

de ovdsvc, dkkd xai vit' ovdsvog eteqov d.QL&Liov 
iavTco ovvTEfrevTog y£yivr]TaL, dkkd Liovrjg LLOvddog, 
7tevTamg llev GvvTsb^SLOrjg 6 £, ETtTaxtg ds 6 £, xal 

5 ol XoLTtol xaTa ty]v savTcov TtoaoTrjTa ' aVTCOV LLEVTOL 
Ovvte&evtcov savtolg OvvacvT dv dkkoL ysvs6%ai 
d%6 7t7]yijg cogavsl xai QL%7]g avTcov tovtcov aQ%0LLE- 
vol , dLOTtEQ TtQcoTOi xakovvxac cogavsi aQ%al exslvcov 
TtQOvitoxsCiLEVOL ' dQ%r) ds 7ta6a 6TOL%SLc6dr]g xai 

io a6vvd-STog, sig r]V TtdvTa dvakvsTac xai £% i)g TtdvTa 
6vvC6TaTaL, avxr) ds slg ovdsv xai s$ ovdsvog. 

t/3. /IsvTEQog 6s xai 6vvd-STog s6tlv dQL&LLog XII 
7tEQL66og llsv d^d to s% svog xai xov avrov ysvovg 
dLaxsxQL6&aL, aQXOELdsg ds ovdsv s%cov sv savTco' 
15 6vvTsd-svTog yaQ ETEQOv rcvog ty]v ysvs6Lv avxog 

S6%S ' dtOTtEQ 6V\l$aLVEL aVTtp 7tQ0g xcp TtaQCOVVLLCO 
LLEQEL STL XO,i STEQCOVVLLOV 7] STEQCOVVLLa XEXXY]6ftaL, 

to llev 7taQc6vv\iov xa&d xal siti TtdvTcov LLOvdda 

ELVaL TtaVTCOg, TO 6s STSQCOVVLLOV 7] STEQCOVVLLa Ov8e~ 

•20 TtoTE LLOvdda , dkkd TtdvTCog rj exslvov t\ sxsCvovg. 

LOV 6VVT£d-£VTC0V d7t£Tsks6d , r]. ) OLOV 



Io. Phil. hrj, h&. — Iambl. p. 37, 38. — Theon. 7. — 
Boeth. I. 11. 



2. vn om. H — stsqov om. P — 3. 6vvTS&svTog] av- 
tos^ add. SC — ysvrjrai P — 5. scivtcov] olvtwv PC — 
6. av om. GP — 9. nQOVJiOKSijxsvai PC — 10. 11. dvalv- 
ovTai . . . GvviGTavTat P i£ ov . . avviGTavTai Gm — 9 — 

11. 6TOL%SL(o8sg Y.ttl tt^VvftSTOV , Sig ... Y.ttl S% OV . . ., 

ccvto SH 

XII. IJsqI ft'v.tt.1 6W&ST0V Cfi — 12. 8s v.aV\ v.al 
om. G — 16. itQog om. P — 17. STSQcovvaa] (isqyj add. (i 
— 18. xtt&6 S — 19. slvat om. C — 20. rj skslvo rj S itavt. 
rj snsivoig mv P 



28 



NIKOMAXOT TEPASHNOT 



#, t£, fca, xs, x£, Ay, Af, X&' 
tovtqov yaQ eKa<5rog xal vito [lovddog txeTQelTaL oog 
oC stsqol %a\ TtaQcovv^iov e%ei {isoog oog xdxeZvoL 
dia tyjv tov xolvov yevovg cpvtiiv, et^rjXXayijLevQog de 
xal idiaCreQOv erc ual eTeQQOvv[ioo ijLeQeL r) ixeQe6L 
XQTJTai^ 6 pev & TtQog too evccToo eTL xal tqltqo, o de 
te eTi xal tqCtqo xal 7te\x%Too TtQog too te^ , 6 de %a 
ual efidoyLoo xal tqCtco TtQog tqo eiKoGTOTtQQOToo , 6 dh 

Ke TtQOg TQO eiXO6TO7te{l7tTQ0 TQO 7taQQOVV{lQO eTt %a\ 

2 eTeQcovv{ioo %Qr]TaL too TteyLTtToo. devzeQog ovv Xeye- 
rcxt, otl >.a\ aXXcp 6vv tt\ povdOL ixeTQoo dvvaraL 
XQrj^&aL, xal otl ovk aQ%oeLdtfg , aXX' heQOv TtQog- 
Te&evTog TtQog eavTov r\ 7tQog ereQOv 6vvTe^evTog 
avTog eyeveTo, 6 [iev & tov y, 6 de Le rov e rj vr) 
dCa xov y , %a\ ol S(pe%rjg nard tov avTov Xoyov ' 
6vv&eTog 8e sk TOLavTiqg afoCag, otl OLaXv&sCr} §iv 
elg susCvovg, e\ cqv 6vvs6Trjxsv^ el'7teQ xal (jlstqy]- 
fteCrj dv vn avToov' ovdev de d^aXvTOv a6vv$eTov, 
aXXd TtdvToog 6vv%stov. 
XIII Ly. 'Avtlxsliisvoov dr) aXXrjXoLg toov dvo tovtcov eC- 






XIII. Io. Phil. o—Qiy. — Iambl. p. 38— 41. — Boeth. 
I. 12—14. — Schol. Nr Nobb. p. 7—9. 



3. fisQog] ysvog G — 5. idLccLTcog P — 6. svdxco GP 

STL Y.CCL TQLTCO] %QCCTCCl 7]TOL T7\ TQLttSL S — 7. LS STl] LS 

HCCL TQ. CCflCC C LS CCfJLCC Y,. TQ. S — 8. SKd6[lCp P siv.0- 

6to\lqvco CH — 9. 7tccQcovv[i.] sccvtov praem. CH — 12. 13. 
TtQoqTS&svTog om. CS 7tQ0g sccvtov . . . 6wts&. om. P 
TrpogTf-O'. . . . stsqov om. H — 14. ccvTog] ovTog CS — 14. 

15. SY. TOV S . . SY. TOV y H — 7] VTj AlCC TOV y\ Y.OCL TOV 

y C rj tov y S — 16. TOiccvTrjg] Trjg ccvTrjg CSH — 17. 
sig szslvcc P sig Tovg ccvTOvg H — 6vvs6tt][lsv P — 18. 
ccv om. CSH — vn~\ Trap' H 

XIII. IJSQL TOV %CC%' , SCCVTO [cCVTO [l] flSV 6 V V & S - 

tov, rtQOS [om. fi] aXXo [ccllo [i] Ss u6vv&stov C — 
20. Svo tovtcov om. GmP 



API0MHTIKH EISAP&TH. 29 

dcov xov tc£ql66ov xqCxov dvd [is6ov xi %-£C0Q£txat 
oiovel i% d\icpox£Qcov £tdo7totov{i£vov xo xa& avxo 

(l£V 6£VX£Q0V XoX 6VV&£X0V , TtQOg dXXo d£ 7tQ0JXOV 

xal a6vvd-£xov , oxav dQt&{i6g 7tQog xcp xotvcp {lixQcp 

5 xfj (lOVadi £Xt Xal £X£QCO {l£XQ£LXaC XtVt {lixQCJ XoX 

dtd xovxo dvvd\t£vog xal £X£qcovvixov {i£Qog rj {i£Qrj 
£7ttd£%a6d-at TtQog xcp TtaQcovv^ap^ TtQog dllov xtvd 
oytoCcog iyovxa dvx£%£xa£6[i£vog £VQt6x£xat{irjx£ xotvcp 
{i£XQ(p {i£XQY)&rjvat dvvd[i£vog TtQog ix£tvov, \xr\x£ xo 
10 avxo 6\ic6vv\iov [i£Qog £%cov xccv ditlcog iv £X£tvcp ' 
olov 6 # 7tQog xov x£' ixdx£Qog yaQ xad"' iavxov 
d£vx£Qog £6xt xal 6vv&£Xog , TtQog $£ dXXr\Xovg yto- 

vddt [lOVfl KOLVOJ [l£XQ<p XQCOVXat Xal Ovd£V {lOQtOV 

6\icovv\i£t iv d{i(pox£QOtg , dXXa xo iv xovxcp xqCxov 
15 ovx £6xtv iv ixuvcp ovdh xo iv ixuvcp 7ti\i7txov iv 

XOVXCp £VQC6K£Xat. 

H dh xovxcov yiv£6tg vtco 'EQaxo6$ivovg xaX£t- 2 
xca xo6xtvov , ijtudr) dva7t£cpvQtiivovg xovg 7t£Qt6- 
6ovg- Xa(5ovx£g xal ddtaxQCxovg i$ avxcov xfj xrjg^ 
20 y£V£6£cog [i^&odcp xavxt] dta%coQCt,o\i£v^ cog dt' OQyd- 
vov rj xo6xCvov xtvog xal tdCa \i£v xovg TtQorxovg 
xal a6vv&ixovg, tdCa dl xovg dwxi^ovg xal 6vvfri- 



2. xar' uvto m — 4. holvco u.] ustqco om. S — 5. frc 
om. H — ustqyjtul C usxQOvusvog H — tlvI u.~\ \istqco 
om. C — 8. nuQS^STu^ousvog S s'E,stu£. H — svql6w.ii- 
tul C — 9. 10. zb uvto om. CS — 10. tiuqcovvuov S — 
s%siv SH. — tolv unX. P — 11. skutsq G L og G 2 — 
15. 16. sv tovtco om. H 

XIII. 2. nsQL Trjg y s v scscog xcov tqlcov tovtcov 
sidcov rov tcsqlogov u — 19. luftovxov P luufiuvovTsg 
S — 21. usv G. z ex sg 



30 



NIKOMAXOT TEPASHXOT 



3 rovg, %coQig de rovg [iLxrovg evQL0xo{iev. e6%L de 6 
TQonog rot; koGklvov tOLOvrog ' ix&ifisvog rovg vcko 



5. 


J.J 

e 


b '$ 

3» 5; 


*|l|l 


& 


*l*|*.|i 
- 1 


4? 


-Uj, 


Q/ 


a 


e 1 jj. 


1 ClV 


1 <b | m 




"* i 

Qy 


V 1 > ' ^ 


«, 1 
O 


\ 


*|« 


M* 


H 1 Q/ 




j.j. 




<*> 


*l«"|*|t 


*'l*ttll 


»1*1*1 1: 


*l*l« 


Q/ 


2 1 'a 1 C ~ 


-• fc 1 O 


H*l*lil 



API0MHTIKH EISAr^rH. 



31 



18 xQcddog itdvxag iys^rjg 7t£QL66ovg cog dvvaxov [id- 
h6xa btci {irjxi,6T0v 6xi%ov, do%d\iBvog dito xov tcqco- 

XOV 87CL6K07tCO , xivag OLOg XB 86XL ^LBXQBLV^ xal £V~ 

ql6xco dvvaxov ovxa xovg dvo [ie6ovg itaQaXunovxag 
5 yLSXQELV , {i£%QLg ov dv tcqo%coq8lv e&tkcoyLEv , ov% 



ex eorum, quae in cod. reliquis reperiuntur, numero id suf- 
ficiat adponere diagramma, quod cod. Ciz. praebet: 

XO 'EqOCTOO&SVSIOV V.06V.LV0V. 



V 


s 


E 


y 

\7 


ta 


ty 


y 

£ 


** 


l» 


7 

■KCC 


xy 


s 

X£ 
8 


y 


x# 


Za 


y 

*y 

ta 


£ 


lt 


y 


flCC 


fty 


y » 


tf 


s 
e 


va 


vy 


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7 
t-9" 


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6« 


xa -9" 


£ 
ty 


tt 


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oa 




y Wl 
os o£ 

x£ {iy\ 


0%" 


-9- y 

jra 
-9- *£ 


ny 


W 
ns 

M 


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[«*] 


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1 


[£] [y] 

*ia '/y 

[«] |[i«] 


w 

'/£ 
[•»] 


*£ 



uncis inclusa addidi. de cribro Eratosthenis conf. Mich. 
Constantini Pselli 6vvxay[ia slg xdg Tsoaccgag ua&r]uaxLHag 
S7ii6xr]uccg, ccQi&ur}XiHriv kxX. ed. G. Xylander, Basil. 1556. p.4. 

1. icpsl-rjg'] xovg add. G ccQi&fiovg add. S — 2. 6xCyov 
om. H — 7tQcotL6xov SH Io. Phil. p — 3. olov xs G x m olog 
t£ PG % CSH Io. Phil. q. — usxqslv) sxcc6xog add. PCSH — 
4. dvvarov oi/ra om. C xov uqcoxov rjxoL xov y subiciunt 
PG. 2 CS, praem. H — nccQCcXsCnovxccg recte Ast; nccQccXst- 
novxcc GP StaXsCnovxag C Io. Phil. q. qcc StaXsCnovxa SH 
naQaXinovxag Iambl. 39. — 5. iisxqslv om. H — av om. GP 
s&sXousv P i&sXoiusv C 



32 NIKOMAXOT rEPASHNOT 

a>g exv%e de xal ecxrj ^iexQOVvxa^ aXXa xov [iev txqco- 
xcog xeC[ievov, xovxe6xt xov dvo {ie6ovg vTteQJiaCvovxa 
xaxd xr)v xov tlqcoxC6xov ev xco 6xC%co xeL^ievov tco- 
6oxr]xa nexQ7J6etj xovxe6xi xaxd xr)v eavxov ' xglg 
yaQ' xov d' dit exeCvov dvo OiaXeCitovxa xaxd xr)v 
xov devxeoov xexaypevov ' itevxaxig yaQ ' xov de 
TteQaixeQca itaXiv dvo OiaXeCitovxa xaxd xr)v xov xqi- 
xov xexay^ievov ' eitxdxtg yaQ ' xov de exi TteQatxeQco 
VTteQ dvo xeCpevov xaxd xr)v xov xexaQXov xexay- 
{tevov' evaxig yaQ' xal eit aiteiQOv xco avxco xQonco. 10 

4 elxa {iexcc xovxov ait' dXXr]g aQ%rjg eitl xov QevxeQOv 
eX&cov 6xoitco^ xCvag olog xe e6xi ^iexQetv^ xal evQC6xco 
itdvxag xovg xexQada dtaXeCjtovxag , dXXa xov [iev 
jtQcoxov xaxd xr)v xov ev xco 6xC%co tcqcoxov xexay- 
[ievov ito6oxr]xa ' XQlg yaQ ' xov de devxeQOV xaxd 15 
xr)v xov devxeQOv' Ttevxdxtg yaQ' xov de xqCxov 
xaxd xr)v xov xqCxov ' eitxdxig yaQ ' xal xovxo ecpe- 

5 ^rjg deC. TtdXiv de avco&ev 6 XQCxog 6 £ 6 xo (iexQOv 
TtaQala/jcov uexQr t 6eL xovg £| diaXeCitovxag , aXXd 
xov [iev 7tQc6xt6xov xaxd xr)v xov y 7to6oxr]xa tcqco- 
xov xeipevov, xov ds devxeQOv xaxd xr)v xov e ' dev- 
xeQOxayrjg yaQ ovxog' xov de xqCxov xaxd xr)v xov £' 

6 xqCx\]v yaQ e%ei xal ovxog xd\iv ev xco 6xC%co . xal 



1. TtQcozcog] ccvxcov add. P ttqcqzov H Io. Phil. o — 2. 
zbv dvo m ex zovg dvo corr.G^ zbv zovg dvo PH 3. 4. ksl- 
ix,kvr\v . . {iszqsl Io. Phil. o v.si[isvov Io. Phil. pf? — 4. 
sctvzov] 7io6ozr]rcc add. H — 5. zbv d' cctz'] zbv ds tzsqccl- 
zsqco tiuXlv dn' C — IsCnovzcc Gm — %cczcc zcc m — 7. 
TiSQCCLzsQOv om. CSH — tiocXlv] oc7t' sy.slvov add. SH — 
8. zszccyfisvov] 7io6ozr\zcc add. S — STtzccKLg yccQ om. H — 
10. svvsccnig CSH — 11. tovto H — 12. olov zs GjuP — 

a 
13. zszQccdcc recte Ast, xszqccSl codd. — 15. zqlc G — 
16. 17. zbv ds zq. . . yccQ om. H — 20. to lisv G — y] 
zqlzov m — 22. yccQ G 2 in ras. 



API0MHTIKH EISATOTH. 33 

xard rrjv avrrjv dvaXoyCav SloXov cc7taQ£\i7t6dLOTOV 

7tQ0%C0Qr]0£L 601 TOVTO, COgT£ TO [l£V {l£TQ£LV OLaO£%OV- 
TC4L xard TY]V £V TCQ Otl%cq CiVTCQV £yX£L[l£VrjV Ta%LV, 

to dh TtoOovg dLal£L7tovTag xard ty\v aito dvddog 

5 £7t ditUQOv £VTaxTOv tcqv doTLCov 7tQOX07tr]v r) xard 

ty\v Trjg %caoag diTtXaOLccOLv , xa& rjv 6 [1£tqcov t£- 

TaxTca, to dl TtoOaxig xard Tr)v tcov dno TQLCcdog 

7t£QlOOCOV &VTCCXTOV 7tQO%CQQr]OLV. £dv OVV Olf]\i£LOLg 1 

tlOlv £7tLOTL%yg Tovg aQL&novg, £VQt]0£tg Tovg \i£Ta- 
10 Aa{i(5dvovTag to \i£TQ£tv ovt£ d[ia itdvTag tov avTov 

7tOT£ \i£ TQOvvTag , £Otl de 6t£ ovdh dvo TOV aVTQV, 
P ot>r£ TtdvTag aTtlcog rovg £xx£L[i£vovg vTtOTtLTtTOVTag 

19 [1£tqcq tlvI avTcov, dXXd TLvdg {i£v 7tavT£lcog dLacp£v- 
yovTag to {i£TQ}]d-rjvaL vcp ovTLvogovv, TLvdg dh vno 

15 £vog {tovov {i£TQOV{i£vovg, TLvdg d y £ VTto dvo rj xal 
Ttlaovcov. ol [ilv ovv iir]da[icog \i£TQr]d-£VT£g^ aXld 8 
dcacpvy6vT£g tovto txqcqtol £lOl xal aOvv&MOL, cog 
VTto xoOxlvov dLaxQL&£VT£ g , 01 6h vTto Svog {IOVOV 
yL£TQy]&£VT£.g xard rrjv iavTcov TtoOoTrrra^ r £v \i6vov 

20 [IOQLOV £T£QCQVV[lOV £%OVOL TtQOg TCO TtCiQCQVV^lCO^ OL $£ 
VTtO £VOg ^fV, £T£QOV $£ 7tOOOTY]TL XO.I \ir) Tpj iaVTOV 

rj V7t6 dvo 6[i-ov yL£TQr]&£VT£g TtXdova £%OVOL Ta £T£- 

Qc6vV{ia [i£qY] TtQOg TCO TtaQCOVV^CO' ovzoi OVV hovxcu 
Ssvteqol xat ovv&etol. TO $£ TQLTOV \l£QOg TO XQLVOV 9 



1. avtijv G 2 eorr. ex uvtov — 8l olovP — 1. 2. ccnctQU- 
tzoSlotov %(oqt]Gel SH — 3. iyHELfisvrjv oin. CSH — 4. ito- 
6ovs] TooovTovg C — a7t6 G 2 ex vito — 5. tcJv ora. P — 

8. EVTCCHTOv] Elt' OiTlElQOV add. SH 12. KSLflEVOVg H — 16. 

ovda^icog PC — 18. fxovov om. H — 19. [iSTQrj&EVTsg] (is- 
tqov add. H — eccvtov G t sv ccvtcq C — 20. steqc6vv[iov 
oin. C — 21. uev om. (r, — 23. 24. o^rot . . . gvv&etol 
om. GviH tovtol PS ol 8svt. S ovtol ds ndvTsg dsvTEQOL 
Eioi y.ccl gviQ-. C in mrg. — 24. fiSQog] sldog CSH 

NICOM. KD. HOCHE. 3 



34 NIKOMAXOT TEPAEHNOT 

d[i(poreQCov, o xaft' eavro ^iev devre.QOv xal 6vv&e- 
rov, Ttoog dXXo de TtQcorov xal a6vv$ erov , stiovrat 
oC aTtoreXov^evoi doL&iiol xard rr)v eavrov %o6o- 
rrjra TtQcorov xal dovv&erov [ierQr}6avr6g rtvog, el 
rtg yevo^ievog 6vyxQCvotro TtQog dXXov cogavrcog rrjv 5 
yeve6tv eyovra' cogiteQ 6 & (eyCvero ex rov y xard 
rr]v eavrov ito6orr\ra [is rQrjOavrog , rQtg ydo), ei 
ovyxQivotro JtQog rov xe (syCvsTo U rov e xard rr]v 
eavrov 7to6orr\ra (xerQi]6avrog^ Ttevrdxtg yd^)* xot- 

10 vov [ie'rQOv rovrotg ovdev, si [ir} [iovdg. cog d' dv u 
xal {le&odov e%OL{iev 6Layvco6rLxr]v rcov TtQog aXXrj- 
Aovg rjrot TtQcorcov xal dovvd-ercov rj devreQcov xal 
6vv&ercov, 6u exeCvcov [iev xotvov ^terQov [tovdg e6rt, 
rovrcov de 7tQog rrj {lovddt xal ereQog rig aQi\r\Log, 

11 xal Ttolog ovto^ v7taQ%et. el 0QL6d-eCrj6av rjiilv dvo 
7teQi66ol aQL&iioC, TtQoreCvavrog rtvog xal eTtird^av- 
rog dtayvcovat, TtortQov TtQcorot TtQog dXXr\Xovg xal 
a6vv&eroC el6tv rj devreQOt xal 6vvd-erot, xa\ el 
devreQOt xal 6vvfTerot) Ttolog aQt&itog avrcov xotvov 
lierQOv e6rC , %Qr) dvrt6vyxQCveiv rovg TtQore&evrag 20 
dQL&{iovg xal rov eXdrrova d%6 rov [ieC£ovog del 
dcpatQetv, o6axig dvvarov, elra rovrov dcpaiQe&ev- 
rog dvracpaiQelv dno rov Xoltxov, o6axig TtdXtv dv- 



1. 2. ot *ta<i>' savTOvg uhv Ssvtsqol nai gvv&stol, ngog 
aXXovg [aXXrjXovg H] Sh tcqcotol xai aGvv&STOi SH — 4. ng. 
Hcci dovvd". om. C — 6. syCvsTO Gm — xov y\ tov tqC- 
tov P — 8. syCvsTO ix addidi ; syevsTO yccQ xcit ovtog 
s-a tov s CS om. rel. — 10. sv xovTOig C — ovdsv] 
stsqov Igtiv add. CS ov% sgtccl PH — fiovrj fMOvdg CS 
fiovr} i] aov. PH — cogT 3 dv Ast. — 11. (xs&odov] scpo- 
Sov CSH S in mrg\ didaGHctXCag us&odov, cf. Io. Phil. Qiy. 
— 13. aovrj fiovdg C llovov uov. S — 15. vTtaQ%r} G — 
16. tcsqlggol om. C — 22. vcpaLQsCv GpiiP — 22. 23. sfaa 
.... SvvaTov om. H 



API0MHTIKH EISArarH. 35 

vatov' r) yaQ dvtL7teQC6ta6ig a.vtr\ xai dvtacpcaQe6Lg 

dvayxaCcog rjroL eiti iiovuda xataXrjE,et rj eitC nva 

eva xai rov avtov aQL&iiov, dvayxaCcog de 7teQL66ov. 

4 orav {iev ovv eiti Liovdda at acpaiQeGetg 7teQaLco&co6L, 12 

P TtQcotovg xai ddvv&erovg avrovg djtocpaCvovcsi TtQog 

20 dXXriXovg, otav de eitl eteQov nva d.QL$ciov 7teQL66ov 
rtj 7to6otr\tL dtcpoQov^evov , devteQOvg Xeye elvat 
TtQog dXXrjXovg xai 6vv&etovg xai xolvov avtoig 
eivaL LietQOv avtov exelvov tov dicpoQOVLievov aQL&- 

io llov' oiov edv 6 xy TtQoefiXriQ-r] 7]lllv xai 6 ice, dcpeXe 
tov xy aTto tov >ie, XeLcp&ri6etaL x(5' tovtov dvtacp- 
a.LQCov dito tov xy , XoLTtr) Ltovdg ' tavtrjv dcpacQcov 
dito tov x/3, o6axtg dvvatov, eCg iiovdda xataX?]^ecg' 
dLa tovto TtQcotOL xal a6vv%-etOL itQog aXXrjXovg el6i 

io xai xolvov avtcov ccetQOv rj d7toXeLcpd"eC6a Lcovdg. 
eC de eteQOvg aQLd-Liovg TtQO&eCr] rtg, tov xa xai tov 13 
cift, dcpaLQco tov eXdttova dito tov LceCtpvog' XeCitetav 
xr] ' elta TtdXtv ex tovtov dcpacQco tov avtov xa 
(dvvatov yaQ) , XeCitttat t,' tavta dvtacpacQco dito 

•2o tov xa, xataXeCitetat lO' e% cov TtdXtv td £ dcpacQco 
(dvvatov ydo)) XeLcp&ri6etaL J, e(3doLLada de d.7to 



1. aVTL7l£QL6Ttt6ui\ dvTl'^a6ig CSH 2. yidTCxXlj^OL S — 

3^ v.al tov wvtov om. P — 4. uovddog G — 5. dnocpaivov 
slvai PCSH — 6. ots P — 7. tio66t7\tl\ iaozrjzi H — 7. et 

9. dLcpogovasvov] = ileratum. diacpoQovusvov GjnPS, ddiacp., 
in mrg\: yp. dicpOQOvusvov G. 2 H; dicpoQ. C, in mrg. ddLacpOQ. 
(cf. Camerar. explic. in Nicom. p. 12) — 7. XsysL P — 

10. sdv om.H — nQofiXiq&fj PCSH — dcpsXs] dcpSLXov H, in 
mrg. dcpsXs. dcpaiQCo C — 11. sXsLCpftrfiav v.$ S — dv" 
dcpaLQco P dvTacpaLQco C dcpaLQco H — 12. dvTacpaiQco CS 
acpaiQco H — 13. Y.aTaXr]ysv C — 15. avToig S — ustqcov H 
— dnoXiqcpft . C — • 16. itQogfi sdq PS — 17. dcpaiQcov G — 18. 
sIto] sl P — dcpaiQco\ snacp. S — 20. Y.aTaXsinsTaL P 
KaTaXinoLTO G/n XsirtSTUL C XsLcp&7]6STaL SH — tu avTa 
£ CS Ta % S7isl P — 21. XsinsTaL C — sfidoudg . . . dv- 
var,aL SH i%8. P ut solet. 

3* 



36 



NIKOMAXOT rEPALHNOT 



ipdo^iddog ov dvvarov dcpatQe&rjvat ' r) uqcc xardXrjJ-tg 
ccvrcov eig dtcpoQOv ^tevov %ov f eiteQatco^r]^ devre- 
Qovg de xal cjvvd-erovg TtQog dXXvXovg ditocpaivov 
rovg it, dQ%r}g rov xa xal rov fi& xal xotvov avrcov 
{istqov TtQog rfj xa&oXtxf] ytov ddt rov f. 

*' v td. lldXtv de dvco&ev' rcov aitXcog aQricov aQtd'- 

ptcov ot [iev eititv viteQTeXetg, ot de eXXtnetg. xa&diteQ 
dxQurrjreg dvrtxei\ievat dXXr\Xatg , 01 de dvd {leGov 
2 d^tcporeQcov^ o f i xcci Xeyovrcct reXetot. xai eioiv ot 
{Lev dvrtxetcjd-at Xeyo^ievot c\XX)]Xoig vTteQreXeig re ic 
xai eXXiitetg ev rf] rrjg dvtcj6rr]Tog G%e6et dtat- 
QOV{ievoi eig re ro TtXeov xai eig ro eXarrov' 
ereQog yaQ TtaQa ravra TQOitog dvt6orr]Tog ovx dv 
eittvorjd-ett] ^ xa&diteQ oi>t£ xaxia oirrf vo6og ovrs 
dov^t^eTQiaovre ditQeitetaovreTcov rotovr cov exacSrov' u 
ev fiev yaQ rco TtXeiovt a'i re viteQpoXai xal TtXeo- 
ve\Cai xcci viteQexitrc6c5etg xal 7teQi666rr]reg yivovrat, 
ev 6e rco eXdrrovt cd evdetat xal eXXeifyetg xai 6re- 
QrjcSetg xal oXtyoe^iat^ ev de rcp ^tera^v rov jtXeov 
xal tov eXccrrov xet\ievcp, o etirtv tGco, dgstat re xal 



XIV. Io. Pliil. ql8. — Iambl. p. 42. 43. 
Boeth. I. 15. — Schol. Nr Nobb. p. 9. 



['heon. 32. 



2. dupoQOVfisvov GmC StacpoQ. P ddtacpoQ. SH — 3. 
&s Gm q P ovv CSH — dnocpaivopat C -co S — 4. aQ- 
%rjg~\ aQi&tLOvq add. H 

XIV. IJsqI xcov xov ciQxCov sldcov HKTK S S V X s - 
qov [SsvrsQav m\ diaiQsaiv Gm nax' sn td taiQS- 
6 iv C 'Enid taiQsa tq xcov XQtcov. nsQt aQt&{iov xs- 
Xsiov, vnsQxsXovg v.al sXXtnoug S TJsqI xslsicov 
x«l v 71sqx slcov xal sXXtncbv H — 8. avxtv.siusvot aX- 
XiqXotg SH — 9. xsXstot %al siaiv. oi GP — 11. dvtao- 
xrjx G^ og G 2 — 11. dtatoovtxsvov P — 15. ovxs anQsn.] 
7] dnQsn. S — 19. oktysi-iat C — nXsovog P nXsiovog CH 
20. sXdxxovog PCH — taov P 



API0MHTIKH EIEArSTH. ;J7 

vysZaL xal iisTQiorrjTsg xal tVTtQiiteicu xccl y.dllr] xal 

rd oaoia' cov ysvLXcoTarov ro Isy&sv rov aQL&iiov 

sidog ru tsXelov. 

i 'T7tsQrsXr}g usv ovv aQid-^iog 6 v7tsQ rd Ttoogiq- 3 

P xovra avrcp xal E7tL(3dXXovra ^isqyi s%cov steqcc TtXsC- 

21 ova' cog dv si tl £qjov %XsCo6l ueqs6lv ij iieXe6l 

tsIs6lovqyov{isvov sl'r), dsxa [isv yXco66ag syov xard 

rov 7tOLr}rr]v, dsxcc ds 6roiiara, ij EvvsdysLXov r\ tqi- 

6roCyoig XE%Qriusvov 6dov6iv i\ sxaroyysiQOv ij TtXsC- 

10 ovag daxrvXovg sv etsqcc tcov %slqcov syov^ ovrco 
xal si' TLg aQL&iiog itdvrcov rcov sv avrcp usqcov s%s- 
Ta6\tsvrcov xcd sCg sv d&Q0L6cia 6vyxEcpaXaLco&svtcov 
dvTS^Eratlo^svog evqC6xolto TtXsCova rd l'dia uSQr} 
savrov sycov, VTtSQrsXrJg ovrog xaXsZraL' vitSQ$aCvSL 

15 yaQ rr]v roi) rsXsCov TtQog rd savrov {iSQrj 6vuus- 
tqCv.v ' olog s6tlv 6 l(5, 6 xd xal aXXoi TLvsg ' sysL 
[isv yaQ 6 l(3 rj{iL6v g, tqCtov 6% rsraQrov y, sxrov 
/3, dcodsxarov #, ditEQ 6[iov 6vyxEcpaXaLC0&Evra itoisZ 
tg, 0£ TtlsCcov s6rl rov £% aQyrjg //3" rd aQa usQr] 

20 avrov TtlsCova rov oXov vTtaQysL. 6 ds xd sysi xal 4 
avrog ijuL6v, tqCtov, rsraQTov, sxrov, oydoov, dcods- 

XaTOV, ELX06T0TETV.QT0V, CCTtSQ V7taQ%SL 

*A r h s, <?, y> ft « ' 

XIV, 3. IIsqI TOV V7t-SQTSXovg CCQL&LIOV G [tov 

om. mCSHti ccq. om. CSH] — 4. ccQL&Libs] sgtlv add. FCSH 
— 5. stil^ccXovtcc P — 6. ohgccvsi sl' tl P — 7. tsXsglov- 

ov C, 
Qyrjasvov (\ TSTsXsGLOVQyrjasvov H — 8. noLrjTrjv] cf. Hom. 
Od. XII, 89 seq. — TQiGTL%OLg CH — 9. syidToyysLQOv P 
SY.a.TovTix%(LQOv H — 13. LdLcc om. H — 14. ccvtov Cm, 
om. P — huIslxccl] Y.lrjTSO? SH -nXrjTSOv u — v7isq@<xX- 
Xsl S — 16. otoV P — 17. <J] dsvTSQco P — 17. 18. g, 8, 
y, 0, cc om. H post dcod. add. cctcsqsgtl ?, 8, y, 0, cc. — 18. 
oaov] ndvTcc add. S — 20. tov oXov] tov Lp C — 21 — 23. 
rjtiLGv ... a] r)a.L$, tq.t], TST.g, sxt.cj, oyS.y, dcod.fi, sUogt.cc C 



38 



NIKOMAXOT TEPA2HN0T 



6vyKscpaXciLCQ&svxa ds 6vvdysc xov Xg^ og 6vyKQLvo- 
psvog xco i% aQ%rjg xco xd {isC£cov avxov svQi'6Ksrai, 

XaCxOL SK XCQV SKsCvOV [ISQCQV IJLOVCQV 6VVXS&sCg' 

TtXsCova aoa Kclvzavd-a rd ixsqt] tov oXov. 

XV is. 'Elhnrig §s aQL&ixog s6xlv 6 xo svavxiov xolg 

6sl%%sl6l Ttsnov&cog Kal xd savxov ^isqt] 6vvxs&svxa 
vcp sv Kaxd 6vyKQL6Lv savxov sldxxova KSKxy\\isvog, 
cog sl xl t.coov xcov Kaxd cpv6cv {isXcov 7} [isqcqv slax- 
XOVXaL^ rj £i rtg uovocp&ccXuog si'r}, COg XO 

KVKkoxsQy]g d" 6cp%-aXixog ssLg svskslxo [isxcQTtco, 

7] SL XLg IjLOVO%SLQ SlT] 7] SV SXSQCX XCQV %SLQCQV sXaX- 

xovag xcqv s daxxvXovg xsxxr]iisvog sirj rj ayXco66og 
7] xolovxov xlvo\ s6xsQr]tis'vog, sXXL7tr)g dv 6 xoLovxog 
Xsyoixo xal olovsl TtrjQog Kaxd xt]v xov aQLd-^iov 
idLOxrjxa xov s%ovxog xd 1'dLa [iSQrj sXdxxova savxov ' 
olog s6xlv 6 7j, 6 id' 6 {isv yaQ r\ [iSQog s%sl t"]IjLl6v. 
xsxaQTov, oydoov, ditSQ s6xl 

d, /3, a, 
6vyKScpaXaLco%-svxa ds stg xo avxo £ yCvovxaL Kal 
sXdxxova xov s% aQ%rjg' xd aQa ijLSQr] sXXsCitSL itQog 
2 xr)v xov oXov 6v\mX7]qcq6lv. ndXLV 6 lQ s%sl r]\xi6v. 
s(5do[iov, xs66aQsgKaLdsKaxov, ditSQ sl6lv 



XV. Iambl. p. 43. 44. — Theon. 32. — Boeth. I. 15. 



3. uovcov om. P uovov H — ovv&s&sig P 

XV. IIbqI ilXiTtovg ccql&uov Gm [ccq. om. CSH\ 
nSQi ctTsXovg d q. u — 8. cpvoiv] ccvvov subicit H — 
sXccttolto CSH— 9. rj . . . sl'rj CuT — 10. cf. Hes. Theog. 
145. — ustotico P — 11. uovo%slqov P — 12. tcov s 
dctxTvlcov s%cov rj sl ccyXcoaaog slyj C tcov notvTcov dci%Tvlcov 
s%cnv sl'rj rj ccyX. SH — 13. TLvog stsqov S — 15. ISlo- 
Tr}Toc] ouoLOTrjTct CSH — 16. usQog] -r\ SH — 17 — 19. 
otcsq . . . ylvsTCCL SH — 20. sXXsltzsl] sXXLTtfj SH — 7rpog] 
£ig C — 21. uccXlv om. SH — sIgXv\ vtlccq%sl SH 



API0MHTIKH EISAI^rH. " 39 

6v\i7tavta ds 6\iov t, sXdttova tov f'| ccQjffis ' iXXsi^- 

Ttei aoa xal ovtog ev rotg \ieQe6L 7toog ro 6v\i7tXij- 

oco&rjvaL ro oXov e% avtcov. 

p 

22 &g. 'Avr LxeL\i evcov de tcjv dvo tovtcov eidav cog- XVI 

6 avel ev dxQOtrjtcov tQOTta \ie6oti]g cpaiverai Xeyo- 
\ievog teXecog ev l66tr\tL svQL6xo>isvog xal ovts td 
[ieor] eavtov TtXsCova a7totsX(ov avvted-evta ovts 
eavtov peCtpva tolv \isqlov aitocpaCvcov , dXX' alel 

10 l6og tolg sccvtov \isqs6lv vTtaQicov ' to ds i6ov rov 
TtXsCovog xal sXdttovog itdvtcog sv \istaL%\LCco ftsco- 
Qsltca xal e6tLv cogiteQ to \ietQLOV tov v7teQ$aXXov- 
tog xal tov eXXeCitovtog \ieta^v xal to 6\i6cpcovov 
tov o^vteQOV xal fiaQvteQOV. otav ovv d.QL&yLog 2 

15 itavtf , o6a evde%etaL ev avtcj elvai , \iSQrj 6vva%- 
%-svta xal 6vyxscpaKaLco&evta ev 6vy*KQi6si trj 7tQog 
eavtov e%cov \irjte v7teQ(5dXXi] rco nXrj&eL avtd \ir\te 
V7tsQ(3dXXrjtaL vit avtcov, tote 6 toLOvtog teXeLog 
xvQCcog XeyetaL, 6 tolg eavtov \1eQe6Lv l6og cov' olov 

20 6 g xal 6 xr\' te yaQ g s%sl \isqtj r\\JLL6v, rptroi/, 

SXtOVy CCTCSQ SL6L 



XVI. Io. Phil. qlS— qkcc. — Iambl. p. 44-48. — Theon. 
32. — Boeth. I. 15. 16. — Schol. NF Nobb. p. 9. 



3. TzlrjQCO&rjvcu H 

XVI. IJsql tsXeCov ccql%' uov Gmu [ccq. om CSH] — 
5. (ogsl S — 8. nXsCovcc] tzots add. H — cctzotsXsl S — 
9. usC^ovcc om. SH, qui post cc7iocp. add. sXccggco. v.ccl cclsl GP 

— 10. sccvtov] CSCols SH — 11. nXsov kccl sXccttov 8 — 
13. xo om. G t P — svcpcovov S — 15. sccvzco G? — sivaL 
om. H — 16. avyxscpccXccLco&ivzcc om. S — 17. ccvzbv H 

— vttsq&ccXXcov G -sl P — 18. vTTSQ^ccXrjzccL Gm -XXstccl P 

— 19. sccvzov] IdCoLq SH — cov om. H — olog sgtlv CSH 

— 21. sgtl SH 



40 



NIKOMAXOT rJKPASHNOT 



. 7 > 1' a \ 
cHtceq 6vyxecpalaLC0&evxa opov xal yevo\ieva g i6a 

xco £$ aQ%rjg v7taQ%eL xal ovxe itleCova ovxe slax- 

xova' xal 6 xr] ilsq}] [ilv e%et rjiiiov, xsxaQXOv, efido- 

[tov, xs66aQsgxaidsxaxov, eixo6toydoov, aitsQ yCvetac 

id, £, d\ /3, a, 

xcd vcp' sv Gvva&QOitifrevta aTtoxsksl xov xi] xcd 

ovtcog ovxs xa [isqi] TtleCova xov 6'/loi> ovxs xo oXov 

tCOV {ISQCQV. akV 7] 6vyxQL6Lg SV L60XY]XL, OTtSQ xs- 

3 XeCov idLoxi]g. 6v[i(5s(5r]xe ds\ xa&ditSQ xa xald xd 
xs xax ' aQSX7]v 6itdvia xal svaQC&inqta, xd ds ai6%Qcx 
xal sv xaxCa slvca itokvyjoa^ ovxco xal vTtsQxskslg 
{isv xal sXXtTtsig Tta^iTtuXkovg xal dxdxxovg svqC6xs- 
6&aL dxo6[iov ov6i]g xrjg avxcov si>Qs6scog, xslsCovg 
ds svaQLd-^irjxovg xs xal xexaypevovg [iexd itQogr]XOv- i 
xog ocoOfiov' elg (ihv yaQ {tovog evQC6xexaL ev [iovd- 
6lv 6 g, exeQog de [tovog ev dexa6LV 6 xrj^ xQCxog de 
xig ev jiad-^icp exaxovxddcov [i6vog 6 v f 7g, xexaQxog 
6 ev %Lfoddcov oqco, xovxe f 6xcv 6 evxog ^ivQLadcov 6 
t]QXi]' xal TtaQeitexat avxolg [iCav TtaQa \iCav eig 
e%dda rj oydodda xaxaXr\yeLv xal itdvxcog eivaL ve 
aQxCoig. 

4 reve6ig de avxcov ylacpvQc/. xe xal a6cpakr]g ovxe 



2. cctisq 6vy.] a P cc y.cc\ H — 5. slxoGTOoydoov S — 
yivsTou\ sl6l C ytvovTca S — 7. vqp' iv . . . ■nrj] 6vyv.scpcc- 

XcCLCO&SVTCC VCp' Sv 6VVTSlSL CCVTOV TOV V.T] S t>qp' %v v-scpcc- 

XcCLOV CC&Q0L6&SVTCC TtOLSL TOV KTj H 9. 7]7TSQ SH — 12. 

sIvCCl] V7lCCQ%OVTCC H ■ — 14. TSXSLOV (i\TnP 15. USTCC TOV 

7tQ. S — sv TtQogrjyiovTL %66aco H — 18. snccTOVTccdog GmPH 

19. T0VTS6TLV . .. (JLVQ. OlTl. C (IVQLCcdOQ S 20. 71CCQCC 

{liccv] yiccTocXrfgiv add. CSH — 21. sv om. CSH — 22. ccq- 
TLOvg SH 

XVI. 4. nsQL y svs6 scog [tcov ll} Tslsicov Cu Ts- 
Xslcov ysvs6 lq S — 23. ts] Tig C 



API0MHTIKH EIEAr&FH. 41 

7taQaXet7tov6ci xiva xcov xeXetcov ovxe ddiacpoQov6d 
xiva xcov ijtr) xotovxcov xovxco ytvo^tevt] xcp xqotxco. 
ex&e^&at dei xovg aito {tovddog ccQxtdxtg doxiovg 

± 7tQo(3i(3d£ovxa e^rjg ev evt 6x(%cp , \ie%Qtg ov (5ovXet~ 

p «, /3, d, rj, tg, A/3, £o% Qxt], 6vg, cptfi, t a%$, fi^ ^g, 

23 £tr« rcf? xaxd evog 7tQogd-e6tv e7tt6coQevetv, xal 9ta&* 

exd.6xt]v eiti6cjQev6iv 6xo7telv xov ytv6\nevov , (uog 

e6xt' xa\ dv ixev evQtjg TtQCOxov xa\ a6vvd-exov VTtaQ- 

ypvxa, xtj xov e6%dxov TtQogXiqcp&evxog 7to6oxt]xt TtoX- 

iu Xa%Xa6ta6etg avxov xa\ 6 a7toxeXe6%-e\g Ttdvxcog xe- 
Xetog e6xat' edv 6e devxeQov xa\ 6vv$exov^ ov itol- 
Xaitla6ia6etg, aXX* e7tt6coQev6eig xov e%rjg xa\ TtdXtv 
i7tt6xeil>t]i xtg 6 aTtoxeXov^evog^ xa\ edv \iev devxe- 
Qog xa\ 6vv&exog, TtdXtv TtaQccXefyetg xa\ ov TtoXXa- 

15 7tXa0ta6etg, dXX" e7tt6coQev6etg xov e£,rjg, edv de %qco- 
xog xal a6vv&exog, xcp e6%dxco etg xr]v 6vv&e6tv 
TtccQaX-qcp&evxt %oXXa%Xcc6tcc6etg avxov xa\ 6 ytvo- 
ytevog xeXetog e6xai, xa\ xovxo \ie%Qtg d%eiQOv ' %a- 
Qcc7tXt]6tcog Ttdvxag e^rjg d%oyevvtJ6etg xovg xeXetovg 

ao \tt]devog 7taQaXet7to\Levov ' olov xtp a e%t6coQevco xov 



1. ///8i///cpOQOV6cc G dioccpGQOV6cc S — 2. rcov ur) tol- 
ovrcov om. SH — rovrco . . rco] tolovtco yiv. SH — 3. d's 1 
rovg om. P — 4. nQO^L^cc^ovrag PSH — ivl om. S — 
5. 6v?] hvg P — ^^s] vh.^ GP omnes post qy.7] numeros 

Om. HF — G. nQ0&S6LV G t — 7. SKU6T0V SnL6C0QSV0V6LV P 

— 8. Kcti ccv] cog ccv P — 9. noXvnXcc6LCc£sig S — 11. no- 
Xv7ilct6tcc6SLg S — 12. 7CQogs7tL6coQSV6rig S — 14. noXXa- 

7lXcc6lCi67jg P — 15. S7tl6C0QSV67jg P S7tOl6SLg SH — 16. 
S6%CCTCo] V6TUTC0 CSH — 6VV&S6LV] 6Vyy.QL6LV S — 17. 

nccQciXrjcp&svTL CS -XsLCp&svTi cet. — yLvoiisvog] ndvrcog 
a<ld. CSH — 19. nccQccnXr}6L'ov P noicbv add. G % CSH — 
scps^rjg ysvvr\6SLg CS — 20. nuQccXsLnofisvov] dnoXsLnous- 
vov Ast. in omnibus paene codicibus (GmPS) librariorum 
oscitantia buic uerbo eam subiunxit numerorum seriem, quam 
codiees HT recte supra (1. 5.) inserunt. C haecce addit: 
Olov cog sv vnoSsLyaciTL S6rco6civ sops^rjg ot clnb uovddog 



42 



NIKOMAXOT TEPA2HN0T 



/3 XCcl 6X07tCO TO 6VVa{l(p6T£QOV, TiS ccQL&uog SGTl, Xal 

evqC6xco xov y cIqi&iiov, eE, cov jrooajrsdf^x^, TtQco- 

TOV Xal a6VV&£T0V' ETEQCOVVLIOV yaQ LLOQLOV OVX £%£L, 

cllla iiovov xo iavTco TtaQcovvLiov' did tovto avTov 
itoXXaitkaCiia^co Trj tov v6teqov sig ty\v GcoQsCav 
Arjcp&svTog 7io6oTr\TL, tovts6tl tov /3 , xccl ysvvccTaC 
iiol 6 g xal tovtov aTtocpaCvoiiaL svsQysCa TtQCOxov 

slvCiL TslSLOV Kttl S%SLV Ll£QY\ EXELVCi TCC SvdsCOQOV{lEVCC 

tolq ccQLxr[iOLg , i% cov 6vvs6Tr\' iiovdda iisv yccQ ix 

7taQcovv[iov [isQOvg £%el, 6 s6tl rou sxtov, y ds E% 

r)iiC6ovg xaTcc tov (3 frEcoQOviiivov , dvTi6TQocpcog 8e 

5 dvdda ix tqCtov. 6 Se xr\ xal avTog eteqov itQog- 

ETlltfCOQEV&EVTOg TOLg TtQOTSQOLg TOV S yEVVCXTCCL Tfj 

avTtj itpodcp' to yd.Q 6vyxscpcclaCcoiia tcov tqlcov, 

xov TS cc Y.al $ Y.ccl 8, yCvETaL [16 V £, SVQl6XETaL ds TtQOJ- 

Tog xal 'tivv&Etog* [tovov yaQ to 7taQc6wLiov lioqlov 
sitLO's%ETaL ro e^Sollov' d^d tovto 7toXv7tka6Lcitco 
avTov Tij roz) s6%aT0v TtQogXiqcpd-ivTog slg ty\v 6co- 
qeCcw 7to6oTr]TL xal dito^aCvsL liol 6 xr\ Tolg CdCoLg 

LIEQE6LV L60g, £%COV XOL CWTOg EX TCOV TtQOiqyOVLLEVCOV 



CCOTLCCKIS CCQTIOL 6 C£, l3, S, 7], L%, Ifi, |^ V.CCI SCp' OGOVOVV' S7tl~ 

gcoqsvco tolvvv t(o a t/itK. Disponantur enhn omnes pariter 
pares numeri hoc modo: Boeth. I. 16. — 20. (p. 41) olov 

7tQ(OT0V TCO CC STtlGCOQSVCOV H 

1. TOV GVV CiUCpOTSQOLV P TOV GVVCCUCpOTSQOV ThC TOV 

sl- clucpoTSQOV Ast. — Tig . . sgtl om. G qui numerus factus 
sit Boeth. — 2. uql&uov om. CSH — %al $% PG,CSH — 
TzooansdsLX&r]] TtQOXccTrjx&r} G { — ^ nocoTov] svqlgy.co praemitt. 
PG 2 CSH — 3. ccgvv&stov] ovtcc tcv y adrt. C — 5. 
Ttolvnl. S — 6. nccQCilricp&svTog H — 7. uol om. SH — 
g] <Jt? yccQ tqlcc ? add. G 2 S — 8. slvccl om. H — usqt]] 
uovcc add. PSH — 9. gvvsgxl P — 10. sgtl] s% add. H 
— tov ciQL&iiov s-atov C — 12. dvccdcc om. GP (tuetur Io. 
Phil. qltj) dLCidcc G.> — STtLGcoQSvd'. H — 14. avTr}] ccv- 
TO v q^ — us&odcp P — 15. tov . . . 8' om. G { C tov 

d p 3 S 



API0MHT1KH EISATOrH. 43 

xd iv avxco {iSQr\, i\{it6v {isv TtaQa xr)v dvdda, xs- 

xaQXOv ds TtccQcc xrjv iitxdoa^ s(5do[iov ds Ttaoa xo 

p d, xs66aQsgxatdsxaxov ds itaQcc xr\v xov r\\ii6ovg 

24 dvxtdta6xokr\v, sixo6xoydoov ds naQa xr]v avxov ita- 

5 Qcovv[iLaVi r\xtg iv ita6t {tovdg vitaQ%si. svQr\\isvcov 6 

ds xovxcov , iv \isv \iova6t xov g, iv ds dsxa6t xov 

xr\, sig xr]v icps^rjg 7tXa6tv xo avxo 6s dst 7totrj6at. 

ndkiv yaQ im^vv&sg xov i%rjg xov r\, yivovxat oiiov 7 

iS' i7tt6X07tC0V CCVXOV SVQi6XC0 OVXSXt TtQCOXOV Xol 

io d^vv&sxov , TtQog ds xco TtaQcovvtjtcp {lOQtco sxt xal 
TtspTtxov s%st xal xqCxov ixsQcovv^iov' dto ov Ttolla- 
7tka6td£co xcp r\ avxov, dlV iitt^coQSvco xov s%r\g xov 
tg xal ytvsxat 6 Xa ' ovxog ijtstdr) TtQCOXog xal a6vv- 
%sx6g i6xtv , dvayxaicog 7tokv7tka6ta6%-r\6sxat xaxd 

i5 xo xrjg icpodov xa&oktxov TtQogxay^ia xco i6%dxco sig 
xr]v 6coQsiav TtQogkycpd-svxt xcp tg xal ysvr\6sxat 6 
vha, iv ixaxovxa6tv, sitstxa xcp avxcp XQOitcp xal 
6 r\Qxr\ iv %tlta6t, xal dsl ovxcog, \is%Qtg dv svxovfj 
xtg TtaQSTts^&at. r) ccQa iiovdg dvvdiist^ aXX' ovitco 8 

20 i6xl xsXstog ivsQysia ' ix yaQ xov 6xi%ov 7tQaxi6xr\v 
avxr\v sig xr)v 6coQsiav Xaficov i7ts6x6itr\6a xaxd xo 
TtQugxayiia, itoxaitr\ xtg v7td.Q%st, xal svqov 7tQcoxr\v 



2. snxudu] xsxquSu S — 2. 3. nuQU xo 8] uql&ucov 
ovyHScpuXuicoua add. GP, quae e margine in textum inrep- 
sisse Astius recte iudicat; xo nuQU xbv snxu (lovddcov ovy- 

nscpul. G 2 nuQU xo xov 8 ovyxscp. xo nuQU xbv 8 
uoi&uov ovyxscp. SH secundum omnium collectionem Boeth. — 4. 
xr\v uvxr)v xovxov nuQ. C xr)v suvxov nuQ. H — 5. Svqt)- 
g-kousvcov P — 6. 8r) xov xs sv uovdoi xov <; -aul xov lv 
ds%doi CSH — 7. xr)v xdv scps^. CSH — tiolslv CSH — 
8. ouov om. H — 11. If*tfi P — sxsqcowuu CSH — 
noXlvnX. P nolvnl. SH — 14. nollvnl. P nollunl. SH 
— 15. us&odov PC — 16. nuQulrjcp&svxL H — 21. ocozrj- 
qsiuv P — nuQuXuficov H 



44 



NIKOMAXOT TEPASHNOT 



xal cIcjvv&stov' cog aXrj&cog yclo , ov xaxd [i£XO%r}v 
cog ol alloi, TtQcoxrj xe v7ta.Q%£t Ttavxog aQtd-^ov xal 
9 davv&sxog [i6vr\. 7toXv7tXa6td^co ovv avxr]v xcp Xrjcp- 
dsvxt £6%dxcp 8ig xr]v 6coQ£Cav, xovxe6xiv iavxfj , xal 
10 yevvaxaC {iol [lovdg* aita% yaQ a iiovdg. xsXzla 
aQa £6xt dvvd{i£L rj itovdg ' i'6rj yu.Q xolg CdCoLg {ti- 
Q£6i xaxd dvvccfiw avxrj, ol d' dXXoL xax' iv£Qy£iav. 

XVII l£. IlQOX£X£%voXoyrjii£VOv dh rjfilv tC£q\ xov xa& 

CiVXO 71060V VVV {l£X£Q%6{l£&a XOi £7tl XO 7tQ0g XL. 

2 xov TtQog xl xoCvvv 7to6ov dvo af dvcoxdxco y£vtxat 
dtaiQ£6£Lg £L6Cv , t6oxrjg xal avt6oxrjg' Ttdv yccQ iv 

6vyXQC6£L TtQOg £X£QOV &£COQ0Vii£V0V TJXOt t60V VTtaQ- 

3 %£i rj dvt6ov y xqCxov dh TtaQa xavxa ovdiv. xo [ilv 

OVV L60V d-£COQ£LXaL, OXaV XCOV 6vyXQLV0\L£VC0V xo 

£X£qov [irjx£ v7t£Q£yj] iirjx£ iXXevTtrj TtQog xrjv xov 
XotTtov TtaQafioXrjv, otov ixaxov TtQog ixaxov r, dixa 
TtQog dixa rj dvo 7tQog dvo rj iivd 7tQog \ivdv rj 
xdXavxov TtQog xdXavxov rj 7trj%vg TtQog 7trj%vv xal 
xd 7taQa7tXrj6ia ette iv oyxco ette iv iirjxu ehe iv 

4 j$dQ£t £lx£ iv 7to6oxr(tt fjxtvtovv. £6xt de xal tdCcog 
r) 6%£6tg avxrj [r) rrjg loottjtos] a6%t6xog xa& iavxrjv 



XVII. Io. Phil. Qxp — gytr]. — Iambl. p. 48 — 51. 
Booth. I. 17. 18. — Schol. NT Nobb. p. 9. 10. 



3. Xsicp&svTL P — 4. sccvtov G { sccvtco P — 5. ts- 
Xslos CH — 7. r) <T ccXXrj H 

XVII. IIsqI tov tvoos ii Ttoaov GCpH — 8. JToo- 
ts G, 

TS%V. G x TCQOTSXVOloyOV^SVOV S — rjuiv] sv toTs civco&sv 
add. P iv tois ctvco CSH — 9. ustsqxcous&cc P sqxous&cc 
H — 11. slglv om. H — 12. szsqov\ tccos add. SH — 

SL 

V7tccQxrj G -slv P — 13. Trap' ccvtu SH — 21. r) tyjs loo- 
TrjTog CSHP r) tyjs noGOTrjTog GmP glossema arbitror. Tr)v 



API0MHTIKH EI2Ar.QrH. 45 

P 

25 xal adictLQSTog, cog dv dQyjxcorccTr] , • diacpOQav yaQ 

ovds^iCav STtLdsysrai ' ov yaQ s6rt tov l6ov ro fisv 
TOLOvds^ xo ds tOLOvds^ akV svl tqotcco xal rco avrco 
ro l6ov s6tlv. ayLsksL xal ro dv&vjraxovov rco i'6co 5 

5 OV% STSQCOW[lSL TtQOg avro, dlld 6VVC0W^SL^ COgTCSQ 

cpClog, ysCrcov, 6v6TQaric6rr]g^ ovtco dr} xal i6og ' i6co 
yaQ s6tlv L6og. ro ds ccvl6ov xal avro xa&' vnoOi- 6 
ciCqs6lv di%ri 6%C^sraL xal s6tlv avrov to iisv {isl£ov, 
to ds sXarrov, dvrcovv[iov{isvd rs xal dvrC&sra dl- 

io kiqloLg xard 7to6orr]ra xal 6%s6lv avrcov ' ro [isv 
yaQ [isi^ov stsqov TLVog {isl^ov , to ds slarrov sp- 
itakLv stsqov TLVog slarrov sv 6v^xqC6sl, xal rd 
6v6[iara ov rd ccvrd^ dkXa dcacpSQOvra s%u sxdrsQa, 
cog 7tarrjQ xal vfog xal tvtctcov xal rvTtro^isvog xal 

15 didd6xcov xal ^iav^dvcov xal rd o^tOLa. rov ijlsv ovv 7 
[isCljOvog xa& vito8taCQS6Lv dsvrsQccv sCg Ttsvrs sibr] 
dtaLQOv^isvov to ycsv s6tl 7toXla7tlcc6Lov, to ds stcl- 

LIOOLOV, TO 6s STtlllSQSg. TO 6s 7toXlcC7tXa6LS7tLLl6QLOV^ 

ro dt 7toXka7tka6LS7tL^LSQsg. xal rov dvrt^srov ds 8 



xov taov 6%s6iv Io. Phil. q%s. r) usv iooxrjg . . . a6%L6xog 
£6xi Iambl. p. 49. Haec autem pars relatiuae ad aliquid quan- 
titaiis, id est aequalitas , naturaliter indiuisa est Boeth.1. 17. 

1. dictcpdoQCiv m — 3. xco avxco] ai-tic. om, ra avxo G — 
4. laov bis ponunt G.J3 — dusXXsi- P — 5. 6. cog xb cpCX. 
H — 7. yccq] xiq add. C — v.al ctvxo] -na^' ctvxb xcd S 
— 8. Su%f} om. G t mP di%cc£sxcii S — 10. avTcov] dvxcovv 
uovusva SH — 13. sxdxsQov SH — 15. ouoia] CuG. 2 r 
haecce e Iamjblichi commentario (p. 50) sumpta addunt : 
ust^ov usv ovv S6xiv, o nscpvyis usxqovusvov vnb ftaxEQOv 
[xat xd xoiavxa u] %axd [usxa F] uiav naQafioXr)v d%a- 
xausxQrjxov [xi G.^uF] avxov [avTovg u] dnolsinsiv [-Xl- 
Ttsiv G. 2 V] o6ovovv , sXaxxov ds , o usrQrjXLV.6v [ustql- 
v.bv u]^ 6v tov 6v£vyov ulcc TtagafioXf] [u. n. om. T] ttsql- 
6%siv bXov ddvvaxsi. — xov usv] xb usv G t — 16. xa-O" 
vnod. xov usv usl'£. C — dsvxsQav om. C — 17. noXv- 

7lXa6L0V S 



46 NIKOMAXOT TEPASHNOr 

TOVTCO, T0VTE6TL XOV iXaTTOVOg, TtEVTE fJ'dr} 6{loCcOg 
Xa& VJtodLaLQ£6LV 6VVL6TatCCL aVTLX£L[lbVa TOL£ 7tQO~ 
ELQYjllEVOLg TOV yLZL&VOg TtEVTE £L'd£6LV (wg 6X0V 6'AcO, 

ro elaTTOv tco ^leC^ovl^ ovtco xal £xa6Tov Exa6Tco 

T\\ %Q0X£y%-£L6Yl TCC%£L [lETa Tfjg VTtO 7tQOd-£6£C3g dv- 
TLdLa6T£hl6[l£Va), V7t07toXXa7tXa6LOV , V7t£7tL{l6QLOV, 

v7t£7tL^i£Q£g^ v7t07toXXa7tXa6L£7tL^LOQLOv xal VTtOTtoXXa- 

7tXa6LE7tL[lEQ£g. 

XVIII Liq. "Avgo&ev ovv 7toXXa7tXa6LOv e6tlv sldog TOV 

^LEL^OVOg TO 7tQCQTL6T0V XOL 7tQ0y£V£6TEQ0V (pV6£L, CJg 1 
EV&Vg EL^OllE&a, "«' SOXLV aQL\r\Log 6, ETtEtddv £V 
6vy%QL6£L TtQOg ETEQOV &£COQrJTaL , £%COV aVTOV EV 

iavTco oAov TtXEOvdxLg iq a%a%' olov TtQog ty]v [io- 
vdda TtdvTEg ol £cp£%ijg dQL&{iol dno dvddog aQ^d^iE- 
vol 6vyxQLv6{i£VOL Ta tov 7toXXaitXa6 Cov EVTaxTa 1 
Etdr} d7toy£vvco6L t\] olxeCo. axoXov&Ca' TtQOJTog ^lev 
yaQ o /3 §L7tXa6Log xal e6tl xal XiyETaL^ 6 cTe y tql- 



XVIII. Io. Phil. QH&— gXd. — Iambl. p. 51. 52. 
Boeth. I. 19. — Schol. Nr Nobb. p. 10. 



1. xovxco om. S — tovxsgzl] t\xol S — sISl G t — 
2. ovviazccvrciL C — '6. nsvzs om. C — 4. slazzov] drj- 
Xadrj C in mg., quod [i in textum recepit. — 6. vnonoXX.] 

STCL G 2 

xs nai . . . %ai . . . ytai add. SH — v.al vno [iSQSg G vno- 
snL^SQSg S Iambl. reliqua om. G y 

XVIII. IIsql xov no XXanXacCov nai xcov xovxov 
stdcov Cll — 9. 10. xov psLgovog om. C — 10. nQoysvs- 
Gxaxov CSH — 11. xcu sgxlv addidi, cf. p. 47 lin. 5. 6. — 

x G 2 
bP og codd. og.. s%slC— sniSav G — 12. &scoQrj////ai G { 
ftscoQSLxaL P — 13.77 dna'%. cf. lo. Phil. pjiah — 16. dno- 
ysvvcaOL CSH dnoyv[ivOL GmP — d-noXov&sCa G — nQco- 
xov S — 17. Xsysxai] xr)g iLOvddog dr}XovozL add S — y] 

a G % 
XQCxog Gjn 



API0MHTIKH EIVArSrH. 47 

TtXuOLog, 6 6h d rex Qa7tXa6Log, xai i% aTtuQOv' ro 

yd.Q 7tkeovccmg r) ana^ r\rot dlg r\ rQig 6r\uaiv£L rj 

icp£%rjg, ui%QLg ov fiovXu. dvndteoralrca dl rovrco 2 

p ro v7t07toXXa7tXa6LOv xai avrd (pv6£L 7tQc6n6rov 

26 v7taQ%ov iv rco iXdrrovL rrjg dvL6orr\rog uiQ£L^ xai 

g e6rLv aQL&uog 6, iTtuddv \jl£l%ovl 6vyxQLvr\raL, dv- 
vdu£vog [i£rQ£lv avrov 7tXr\QOvvrcog TtX^ovdxLg r\ 
a7ta% , ro dh TtX^ovdxig r\ dna^ aito tov dlg aQ%£rai 
xai iit' a7t£LQOV 7tQO£L6LV. idv ulv ovv dlg UOVOV 3 

10 u£rQr\ rov iv 6vyxQi6a u£itpva, v7toQL7tXa6Log Xiy£- 
raL idicog, cog7t£Q ro a rcov /3, idv d x £ rQig , vTtorQL- 
7tXa6Log* cog7t£Q rcov y ro a, idv dl T£To«3«s, v7tor£- 
rQa7tXa6Log, cog7t£Q ro avro a rcov 6% xai icp^rjg 
ovrcog. y£VLXcog dh a7t£LQOV v7taQ%ovrog ixariQOV, 4 

15 toi» T£ 7toXXa7tXa6tov xai tov v7t07toXXa7tXa6LOv , irL 
xai al xa&' v7todLaLQ£6LV dLacpoQai xai rd £l'dr\ iit 
aTtHQOv cpv6H TtQOLOvra %-£COQ£LraL' ro yd.Q dLTtXd- 
6lov aQ%6u£vov aTto tov /3 dici Ttdvrcov aQricov %q6- 
£l6lv^ dva Tta.Q 1 kva Xaufiavovrcov r\ucov rovg aQLfr- 

20 uovg dito rov cpv6LXov %vuarog ' iv 6vyxQi6u dh 
ovroL 6L7tXa6LOL X£%ftr\6ovra.L TtQog rovg dno [covddog 
i£,rjg x£Luivovg aQriovg X£ xai it£QL66ovg. rQL7tXa6L0L 5 
dh 7tdvr£g £i6iv ol dit d.Q%r\g dvo 7taQaX£L7touivcov 
ixX£y6u£V0L rQiroL rfj ra%u^ olov 



1. 6 ds d tstq. om. H nccl 6 s nivxa.nXd.6ioq add. FC 

— 2. 67}Uulvsl] 6vu§cclvsl H — 3. us %q. ov] nQ0%(OQSLV add. 
CSH — 6. 6 P 6g codd. og . . dvvuxcci C — usClo6i P — 
7. nlrjQovvra G x m — 7. 8. xb ds . . . uncc^ oni. mu — 13. 
tov y to ccvto cc CSH — 14. tov 6 GS — 17. tyj cpv6Si 
CSH — dscoQOvvTcci CSH — 18. dicc] snl S — i9. nccQ' 
svcc] % tcov ccQi&ucov add. H — TOvg aQL&uovg om. P — 
20. cpv6L-/.ov] cpv6SL P — 22. KSLusvovg] aQL&uovg add. H 

— 23. nccvTcog G nccvTsg rel. Io. Phil. Qly. 



48 MKOMAXOT rEPASHNOT 

y, g, #, i/3, t£, t>/, z«, z<5, 
o/g 6vtijiej5r]xev eva tcccq eva aQtCotg te xal 7teQi6- 
6olg eivat^ xal avtol de ev too cctco tr)g (.tovddog 
ccqi&Iioq evtdxtoo tcov ecpel-rjg rcdvtcov tQLTckdoioi ei6i 
7CQO%QjQovvte g , ecp' o6ov flovXetaC tLg icaoaxoXov- 

■6 ftelv. tet Qa7cXa6ioi be ei6iv ol tQicov TtaQaXetTto^e- 
vcov 7tdvtr\ tetaQtoi^ olov 

d, rj, t/3, *g, x, xd\ xrj y X(5 
xal ecpe^rjg, xal ovtoi de tcov dno [lovddog evtd- 
xtcov tetQa7cXa6ioC ei6i TtQOiovteg, ecp' o6ov clv ev- 
tovij tig e7te6&ai ' 6vij,(5e(3r]xe dh xal tovtotg ndvtag 
eivat aQtiovg ' eva yaQ TtaQ eva [tovov TtaQaXetTtteov 
e% avtoov toov avco&ev dtaxexQt^ievcov aQtCoov, cogte 
. dvayxaCoog vitdQ%eiv tolg ankoog aQtCoig 6i7tXa6Cotg 
Liev a7ia6tv shcci, tet Qa7tka6Cotg de eva TtaQ eva xal 
e\a7tXa6Cotg eva TtaQa dvo xal 6xta7tXa6Cotg eva 
TtccQa tQetg^ xal e% dneiQov ovtoog dvdXoyov r) tcqo- 

7 xo7tr\. 7tevta7tXa6iot 6e 6cp&r}6ovtai 01 te66aQccg 
{iev TtaQaXeCnovteg, TteiiTttot Se tetay^cevot aTt dX- 
XrjXcov xal ccvtol de toov aTto iiovaQog e^r]g te- 
tay^ievoov aQi&ijL0ov 7tevta7tXa6LOL , xal eig TtaQ* 
eva 7teQL66og xal aQttog xata tr]v avtr)v toov tQi- 
7tXa6Coov td%LV. 



1. y.8] v.ai i(p8E,rjg add. H — 3. avxol] ovtoi CSH — 

4. xco scp8t;r)g P — sioL om. GmP — 5. L3ovlovrca P — 

5. 6. icp' ooov dv xig svxovfj stzsgtJcci SH — 9. xal scps- 
i-fjg om. C — 10. svxoYr) G — 11. xig om. G t — 10. 11. 
sig ooov (iovlsxcd xig TtaQaYoXov&SLv CSH — 11. 12. ticcgiv 
. . . dgxLOig CSH — 12. uovov om. CS — 14. dvayYalov 
SH — vtzcHq%slv om. SH — 15. sIvccl Ast add. — 15. 16. 
agnsQ y.ccl s^anl. PSH cognsQ st-. C — 16. sgaTiXdoiOL G — 
OYxanXaGiOL GP — 17. dvdXoyog H — 20. sE,r)g xsxayu.\ 
icps^rjg ovvs%cov C. — 23. rat-SLV P 



API0MHTIKH EISAr^rH. 49 

27 l&. 'ETtLLioQLog de £6uv aQL&LLog, TO TOV (ie££o- XIX 

vog devTeoov tjj cpv6eL eldog xal vjj rajjft, 6 e%cov 
ev eavToo tov OvyxoLvoLievov bXov xal lloqlov av- 
tov ev tl. dkV eav iiev tJlilGv r) rd lloqlov , xalel- 2 

5 TaL rjLiLoXLog eldLXoog 6 tcov 6vyxQLVOLLevoov Lieitpiv, 
vcprjLLLofoog de 6 ela66cov, edv de tqCtov , eitCTQixog 
Te xal viteitCTQLTog , ^«t del ovTcog pe%QL itavTog 
TtQO^coQOVvTL 6VLLcpoovr\6eL aoL, cogTe xal TavTa eit 
diteLQOv Ta eldrj 7tQoeL6L xaCTOi aTteCoov TLvog eldr] 

io bvTa yevovg' ro Liev ydo tcqc3tl6tov avToov ro tjlllo- 
Ilov 6vLij5aCveL rovg Liev vitoloyovg e%etv Tovg ditb 
dvddog ecpe^rjg aQTCovg, aXXov de ovdaLioog ovdeva, 
rovg de TtQoloyovg Tovg ditb TQiddog etpe^rjg TQtitla- 
6Covg, alXov de ovdeva. 6v£evxTeov de avTOvg ev- 3 

lbTaxTcog TtQcoTov TtQOJTtp, devTeQOv devTeQoo, tqCtov 
tqCtco, 

tov y tco /3, tov g too 6% tov -fr tco g, 

TOV L$ TOO 7], 

xal Tovg dvaloyovg Tolg 0LL0Taye6LV. edv 6e eitt- 4 
io 6xe^a6^at d-eXoLiev ro devTeQOv eldog tov eitLLio- 
qCov, tovt&6tl to eitCxQLTov (6vve%eg yaQ {leQog av- 
rou tpvOtxoog cceTa rd rjccL6v v7taQ%£L ro tqCtov\ oqov 
llIv avTov e%OLiev tovtov ' aQL&LLog 6 e%oov ev eavTco 



XIX. Io. Phil. qXs — qvz. — Iambl. p. 52 — 58. 
Boeth. I. 20-22. — Schol. Nr Nobb. p. 11—15. 



XIX. IIsqI [xov m\ stvl(ioql'ov GmPC — 2. xccJ-sl 
. . . cpvasL CSH — 4. 5. xl ev uvxov ('SH — 7. vustilxql- 
xog] sccv ds xsxccoxov, S7tLXSxccQx6g xs xca vnsitLxsxciQxog 
add. CSH cf. Iambl. p. 56. — chl om. CSH — 9. xcclxol 
mP, H in mg., Io. Phil. qXs. ////xo// G { dxs G. 2 CSH — 
18. 14. xovg ds . . . ovSivu bis habet G — 16. xq(xco\ y P 
oiov add. CSH — ' 17. xbv y xco ^] xbv xqlxov xco dsvxSQca 
G t — 21. 22. ccvxov ante cpvo. om. SH — 23. 6 om. G 

NICOM. KU. HOCHE. 4 



)0 



XIKOMAXOT TEPASHNOT 



oXov te tov 6vyxQtv6{ievcov nal tieaog avtov toitov 
TtQog tcp okcp. VTtodetypata de avtov evtaxta Xr\- 
cpd-r\6etat f)[ilv ol ditd tetoddog 6vve%eig tetQanXd- 
6101 6vve£evy pevot tolg dico tQtddog tQt7tXa6totg 
oytotayeig 6{iotaye6tv, olov 

6 d tco y, 6 r\ tco g, 6 t/3 tco fr, 

5 xal xatd tavtd ecp o6ovovv. drjXov de\ ott 6 dv&v- 
7taxovcov tco enttQttco, Xeyopevog de 6vv tr\ VTto 
7tQO$e6et viteTtttQttog^ e6ttv 6 e\i7teQte%6^tevog exetvcp 
oXog te %al TtQogett eavtov tQttov^ cog io 

6 [ihv y tco #, 6 de g tcp ^, 6 de & tcp t/3, 

6 xal ot dxoXov&ot tcov 6\notaycov. 7taQatr\Qr\teov de 
to TtaQeitoytevov ita6t tovtotg yXacpvQOv , ott ot [tev 
7tQcotot xal Ttv&yteveg Xeyopevot eyyvg et6tv dXXrj- 
Xcov ev tcp cpv6txcp %v^att^ oi de SevteQOt djto v. 
7tvd~[ievog eva {tovov aQtd^^tov 8taXet7tov6tv , ot 8e 
tQttot dvo, ol 8e tetaQtot tQeig xal ot Tte^tittot te6- 

7 6aQag xal del ovtcog , \ie%Qtg ov (lovXet. ett ye 
}ir\v xat^ ott to ytOQtov, ov TtaQcovv^tog exa6tog e6ti 
tcov e7tt[iOQtcov, ev toig r\tto6t frecoQeitat tcov Ttvfr- 

8 \ievcov , ev 8e totg \KetCp6tv ov8a\icog. ott 8e cpv6t- 
xcog xal ov% f\pcov ftepevcov, aQ%eyovcoteQOv to 



2. ngdg tw oXcq] hucusque cocl. m — Xrjcp^rjoovxaL S, 
H in mg. — 4. ov£svyvv[isvoL S — xrjg dno xq. P — 
6. #] o i<5 xco i$ add. CSH — 10. oXcog G — uvzov SH — 
cog] olov C om. 8 — 15. 16. dnb nv&u. om. S nv&fis- 
viov P — 16. [tovov] fisoov SH om. ap. — 18. ovxcog ccsi 
tiqoiovxi u£%Q. SH — 19. xb G.fi om. reliqui. — 20. twv 
nvftaivcov om C — G hocce adscribit schema: 



rjflLOllOL 


y 


S * 


$ 


LE LY} Y.CC y.S 


■/.'Q X ly Ag Xft u/5 ut 


vcprjfiLoXtoL 


P 


s s 


V 


L L(l lS \ L$ 


ir}\ x | xP"itS x.g kij -l 


SULXQLXOL 


s 


r\ 


tP 


tSJ h \nS\yir\lls |^Sj (i 


(iS 


urj v(i v? | 


vnenLtQtxoi 


7 


S 


# 


l(1 [ ls ! lt; \yia X(? Y.Z, X 


Xy 


X? X& pfi ps 



— 21. oxl] sxl P —22. hftsiLSvcov SH 



AP10MHTIKH EISAr&rH. 



51 



itolkaTtXciGiov xai 7tQS6($vTSQ0v rov stil^oqCov , xal 
sv tolg s%fjg ^sv ttolxl^cotsqov sfaoiisfta, o6ov 
ovitco' xdvrav&a ds 7tQog ccTtXrjv s\xcpa6LV txqo%si- 
ql6tsov xcct svtdxtovg xai itaQa\Xr\Xovg Gxlyovg 

s tovg 7tQOcpQa6d-s'vTag r\p,Tv 7tolka7tka6Covg sloixcog^ 
TtQCotov di7tXa6cov sv svi 6tC%cq, sha sv Ssvtsqco 
TQiitXa6iov , sha TSTQa7tka6LOv sv tqCtco xai [is%ql 
8sxa7tka6LCOv , Xva xai Ta&v xai TtoLXLXCav avTcov 
xai 7tQo(5a6LV svts%vov xai tl tiqotsqov cpv6sc 

10 xaTCdco^isv xai drj xai stsqcc TLva TSQTtvd xai yka- 
cpvQa TtaQOxokov&YiyLaTa. s6tco de to dcdyQaii^a 9 

TOLOVTOV ' 



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SXXSL6&CQ SV LISV TCO TtQCQTCp 6tC%CQ aitO 10 



2. 7t0LY.lX0TSQ0V P 7t0Lr\TLY.(QTSQ0V G 3. Sy%SLQlGTSOV 

S— 5. TZQOCpQMV&SVTCiq G 6. 7. dL7tXcCGLOVg ... TQLTtXdGL- 

ovg ... tsxQduXctGLOvg CSH — 9. zivsg tzqotsqol CSH — 
10. 11. Y.CU 8ij . . . nciQdY.oX. om. C — 13. urJY,og GP lon- 
</i7i4rfoBoeth.24. nXdxog cet. cf.p.52 1.4. — 24. smslg&cqgciv 
CSH — tc5 om. H — 6 addidi, of CSH 

4^ : 



52 NIKOMAXOT TEPAZHNOT 

liovccdog cpv6ixog aottfytos, sira sfcrjg ot xsXsv6&sv- 

11 rsg rcov xov 7toXla7tla6iov stdcov. ovxovv rcov (iev 
itQcorcov 6rC%cov ao%o[isvcov a7to [lovddog sitC rs 
itldrog xal siti ($d&og ya^t^tostdcog of dsvrsQOt scp p 
sxdrsoa xal avrol ya^t^tostdcog djto rsrQadog aQ%6- 29 
{isvoi 7toXXa7tXci6toC st6t xard ro TtQcorov sibog rov ♦; 
TtoXXaitkatiCov , dtitXaGtot yaQ, xal 6 {isv TtQCorog 
zov TtQcorov ytovddt dtacpsQCOv , 6 ds dsvrsQog zov 
dsvrsQOv dvddt xal 6 ZQCzog rov zqCzov rQtddi 
xal zszQadt ot 6vvs%stg xal itsvzaOt ot psz' avzovg u 
xal zovzo yts%Qtg oXov dxoXov&ov svQrJ6stg' ot ds 
tQtrot scp ' sxdrsQa d%6 svddog xotvrjg aQ%6[isvot zcov sv 
zco ccvrco txqcozco 6zt%co xard zo Ssvzsqov sidog zov 
TtollaTtkaGtov rQtTtldatot saovrat 6vvs%sza£o[isvcov 
ccvzotg xal zcov stg zQtdda sxazsQcofrsv %ta6ytcov. 

12 Gv[i7tQOx6ilJSt ds xal rj dtacpoQa rOvrotg xard zr)v zcov 
aQzCcov cpv6tv , • zco {.tsv TtQcozcp dvdg ov6a, zcp 61 
scps^rjg zszQag , zcp ds zqCzco s£dg, tjv xal dtacpOQav 
avzopdzcog rj^ttv -q cpvCtg S(is6s[i(}6Xr}6s {isra%v zov- 
rcov zcov s%sra£o[isvcov , cog sv zco dtayQa^an cpaC- sc 

13 vsrat. 6 6s zszaQzog 6zC%og , ov xotvrj ytsv aQ%i] scp' 
sxdrsQa o tg, oi" ds %ta6{iol itsQatovvrat slg rdg 
zsrQadag, ro rQtrov sidog rov 7toXXa7tXa6Cov dst- 
xvvrsg, rovrs6rt ro rs rQa%Xa6tov , itQog rov avrov 



1. cpvGixoi PH -ais CS — doi&fioi PCH om. S — 
•nalsG^svzsg H — 3. tcqcotlgtcov H — 4. TtlccTog] (irjxog H 
Io. Phil. ou. — y//ccuuosLdcog bis G (erasuni uidetur p) — 
5. bKuxzQov G -ov S — T8TQccd G\ -0? G 2 in ras. — 6. to 
oni. GP — 8. tov ter om. C — 9. 3lo:8l G — 11. olov P 
om. fi Tblovg CSH — 12. tvddog fjP ivvccdog SH svvsci- 
8og C — 13. ccvtgj om. P — 15. kccl tojv} dLcc twv S — 

17. TCOV USV TCQCQTLOV fi — dLocg P 19. TOVTIOV 0111. SH 

— 20. ccvTs£sTcc'c;oustcov SH — 22. irsQCCTOvvTccL H — 23. 

dSLKVVGL C 



API9MHTIKH EISArOTH. 53 

e%eT<x£6(isvoi TtQcoTtOTOV 6tC%ov opoTaycog , 7tQC0T0v 
{iev aQt&pov Ttoog TtQQiTOv, devTSQOv de TtQog devTe- 
qov xal tqCtov TtQog tqitov xal ecpe^rjg' TtdXtv de ai 
tovtcov dtacpOQal TQtdg, e^dg^ efoa evdg , e foa dcode- 

5 xdg xal ai xaTa TQtddog 7tQ0X07tr)v 7to6oTr\Teg' xal 
avTai ev tco tov dtayQa^t^taTog vcpet TtecpcoQavTat 
Ta%ei exxeCpevat vTteQ avTovg Tot)g TeT QaTtkaOtovg 
xal eTtl tcov axoXov%-cov tov TtoXKaTtXaoCov eidcov 
to avdkoyov \ae%Qt itavTog 7tQO%coQet. TtQog de tov 14 

10 ecp' exaTeQa devTeQOv 6tC%ov a%6 xotvrjg aQ%rjg rov 
d aQ%6{ievov , vTteQexTtCitTovTa de xaTa %taO{iuv eig 
idCav exaTeQcov dvdda, oi VTtofiefirjXOTeg Taijet OTiyot 
tou e7tt\LOQCov to TtQcoTtOTOv etdog 7iaQeybcpaCvov6t, 
TOVTeOTt to r)iit6ltov, oytOTayetgTtQog o^OTayetg' ovtco 

15 cpvOet &eCa xal ov voytcp r\\ieTeQco ovde 6vv^r\\ia.Tt 

[teTayeveOTeQOt tcov TtoXkaTtkaoCcov oi eTtt^toQtot^ olov 

6 [iev y tov /?, 6 de g tov d, 6 & rov g, 

6 tfi tov rj, 6 te tov t, 

xa\ (ie%Qt TtavTog' dtacpOQav de xal o^Tot e%ov6t 

20 Tovg a7t6 ytovddog ecpeilrjg aQt&iLOvg, cog oi tiqo 

avTcov. 
P 
30 'ETtCTQtTOt 6V, to tov eTtt^ioQCov devTeQov eldog, 15 

i'6ri Ttvl xal opoCa TtQOxoTtfj 7tQ0%coQ0v6tv aTto 



1. iE,STcc£6{isvov G — ouoTccascog P — 1—3. noooTOv 

flSV MQL&UOV . . . SsVTSQOV Ss . . . V.IXL TQLTOV G 3. 4. CCL 

tovtcov SLCCcp.] ccl Slcccpoqccl tcov sgSTOc^ousvcov S — 4. svccg 
GP svvcig H — 5. tqlccScc G — 9. nQO%coQr}6SL PSH — 
10. xoLVTJg] usv add. G 2 ccno usv n. PSH — 12. sy.ccts- 
Qo//////v dvclS/// G t skcctsqov ttjv SvdScc corr. G 7 SY.CCTSQCO- 
ftsv CH (H in mr^. skcctsqov) — 16. noXvnX. S — olov 
om. S — 17. 18. Ss quater CSH — 19. StacpoQccg H 

XIX, 15. IJsql TOV SnLT QLTOV G — 22. UOQLOV G x 
sni add. G 2 — 



54 



NIKOMAXOT rEPASHNOT 



tov d 7tQog tov y xal r\ TtQog g 

xal l($ TtQog & xal tg TtQog l{>. 

xal dxoXov&cog i6r\v xal tr]v tcov dLacpOQtov av^r]6iv 

16 Xa^dvovtsg. xai STtl tcov Xoltlcov 6%s6scov TtoXla- 
%Xa6Cov ts xal stcliioqCov 6v^icpcova td d%otsXs6\Lata 5 
xal ovda^icog svavtiov\nsva TtQofiaCvcov sit ditsiQov 

17 oiI>sl. xdxstvo ds ovx sXattovog dxQiflsCag tstsv%sv 
sv tcp dLayQa^atL' STttycovLOL psv yaQ avtcov s16l 
liovddsg, r) [isv xat aQ%r)v djtXrj^ r) ds snl tsXst 
tQLodov{ievr],devteQodov[ievaL de ev 0L<p0Qr]6ei aidvo 10 

18 XoLTtaC, cogte aTtoteXetv to vito l6ov tco aito' '. aXXa xal 
sxatSQco&sv l'6r] 7tQofia6Lg d%6 [tovddog sCg tdg dsxd- 
dag xal Ttdhv dvtL&stcog sxdtSQaL al dito dsxddog 

19 7tQO%coQrJ6sLg slg sxatovtdda. xal ol psv dLaycovLOL ol 
dito [tovddog sCg sxatovtdda tstQaycovoL itdvtcog 15 
aQL&iiol C6axLg l6ol {irjxvv&svts g , ol ds sxatSQCo&sv 
7taQa67tCt,ovtsg avtovg stsQO^irjxsLg Jtdvtcog ccvl6ol 
xal {lovddL iJLsCt,o6LV aXXrjXcov TtXsvQatg {irjxvv&svtsg' 
Sgts s% aita% dvo scps^rjg tstQaycovcov xal dlg tov 
dvd yLs6ov avtcov stSQO^irjxovg tstQaycovov Ttdvtcog 20 
a7totsXsL6&aL xal avditaXtv j-fj a7ta\ dvo TtaQaxst- 
[isvcov stSQO^irjxcov xal dlg tov dvd [is6ov avtcov 
tstQaycovov tstQaycovov Ttdvtcog a7totsXsl6^ai. 



1. 2. articulum omnibus numeris add. C — 1. 8] ts- 
tocqtov P — 3. l'arjv] Totg 7cqo ccvtcov add. G 2 SH — 4. Iol~ 
ndjv] 8s add. G 2 SH — 7. 8. tstsv%sv . . . SiayQ. om. C — 
10. tQLCodovfisvrj . . . 8svtsqco8. G x PH — 8LCCCpOQr]6SL PC cf. 
Io. Pliil. Q(jl&, ubi bis legendum 8 icpOQrj 6 si. — 13. ccvtl- 
&ST8Q0V G x — shcctsqccl om. P del. G 2 s*cctsqco6s C -co&sv 
SH — U 8s%cc8cov G 2 — 15. TtdvTsg G. £ CS — 16. cIql&- 
ftoi] s16lv add. C — 1601] l'6cog PS — 17. uvl60ls G CS 

— 18. (iovdd/// G { -6l G 2 — (isitovsg SH — 19. i| oni. P 

— 21 — 23. kccl ccvdncclLv . . . clnoTsXsfa&ccL om. H — 23. 
nccvrcog om. C 



API0MHTIKH EI2Ar^rH. 55 

Kal ereQa itolkd roiavta cpLkoTL\iov\ievog evQOL 20 
ng av tSQTtva e\icpaLvo\ieva rcpde ra diayQa^ari^ 
Tteol cbv ov xaiQog vvv \ir\xvveLV' ovTtcb yd.Q rr)v 
eitCyvcoGiv avrcov ex rr)g eCgaycoyrjg eCkrjcpa^ev^ Sgts 
5 eitl ra etjrjg TQeTtreov' {ierd yccQ rag dvo ravrag 
yevLxdg 6%e6eLg 7tokka7tka6Cov xal eitL^OQCov xal rdg 
avTL&erovg avralg 6vv rfj vito TtQod^eGeL excpeQope- 
vccg dkkag dvo v7t07tokka7tkd6Lov re xal VTte7tL[i6- 
qlov eltilv ev \iev rco [ieC£ovL rov dvCtiov ^ieQec r) 
io e^L^ieQrjg^ ev 8e rco ekdrrovL r) dvrLxet\ievr\ avrr) r) 
V7te7tL{ieQr\g. 

p x. "EGtl de e7tL[ieQr}g \iev 6%e6Lg, orav aQL&iiog XX 

31 roi> 6vyxQLv6ycevov e%r\ ev eavrcp okov xal TtQogerL 

^ieQrj avrov TtkeCova evog' ro de TtkeCova evog ccq- 

i5 %erat ndfav aTto rov /3 xal 7tQoet6Lv eTtl itdvrccg 

rovg ecpe%r\g aQL&yiovg' cogre rov eTtt^ieQOvg 7tvd-\ir\v 

e6TLV eCxorcog 6 TtQog rcp olcp dvo \ieQr\ rov dvrc- 

6vyxQLvo\ievov e%cov xal xkr\^r\6eraL e7tLdL[ieQrjg eC- 

dLxcog, {ierd de rovrov 6 TQCa TtQog rco okco e%cov xkr\- 

20 %r\6eraL e7tLXQt\ieQr)g eidLXCog, xal [lerd tovtov em- 

TeTQa^ieQrjg , eira e7ti7tevra\ieQr\g , xal ovrcog deC. 

rd de \ieQr\ qC&v e%ec xal aQ%r)v dito rov tqCtov ' 2 



XX. Io. Phil. gv£, Qvr\. — Iambl. p. 58. 59. — Boeth 
I. 23. 



1. nolla] xlvcl .S — 2. snLCpaLvousva H — 3. vvv 
om. S — 6. nollankaGLOv y.o.1 stziuoqiov PS, H in mrg. — 
otcd rccg] v.al itl usxa xag SH — 8. ak.Xjjl.ag C — 9. usq 

/?! SL G., 

XX. TLsqX sniusQoyg PCT — 12. ccql&uov G { — 
13. scp suvxbv S — 14. xo] xa P Io.Phil.pf£ — nXsiova] 
tov add. C, — 15. nQOLrjGiv S — 18. sniusQrig P — 19. 

20. 6 XQLa . . . xovxov om. G\ — 20. tdLK<x>g G 2 om. H — 

21. smnsvxau. om. G x — 22. s£sl CH 



56 NIKOMAXOT TEPASHNOT 

ddvvaxov yaQ iv&dds aTto xov r}{iL6v aQ%£6&aL' dv 
yag xaC xiva v7toftco\jL£$a /3 r\\iC6r] £%£lv xov dvxi- 
frixov Ttoog xa 6'A«, &7]6o[i£V iavxovg 7tolka7tka6LOv 
dvxl £7tL^i£QOvg XL&ivx£g' £xa6xov yaQ okov xal /3 
r\\xi6r\ avxov Gvvxifti^va QntXaGiov yCv£xat xov i% 
d.Q%fjg' Sgx£ dvayxaioxaxov aito /3 xqCxcov aQ%£- 
6%-at, £ixa /3 Tti^iTtxcov^ £ixa /3 ifidoyLcov , xal irtl 
xovxoig /3 ivdxcov xaxd xr]v xcov 7t£QL66tov TtQOpa- 
6iv' xd yaQ /3 xixaQxa koyov %aQtv Ttdfav rj\it6v 
i6xt xal xd /3 £xxa xqCxov xal ovxco Ttdfov ijtL^OQLOL 

dvxl iltL[l£Q(OV y£Vrj60VXaL, 07t£Q OV TtQOKUXaL OVX£ 

3 r)\ilv ovx£ xrj xrjg x£%voXoyCag xaxaklr\kCa. \i£xd dl 
x6v ijtL\i£Qrj £v&vg 6vvvcpC6xaxaL 6 v7t£7tL\i£Qrjg^ oxav 
aQL&tiog iv xa 6vyxQLvo\iivcp olog £%r\xaL avxog X£ 
xal TtQogixt TtXuova avxov \iiQrj rjfirjyrjdrj^ if 
xal icp£^r]g. 

XXI xa. Ta&g dh d^icpoxiQOv xal dxokov&og yiv£6Lg 

£VQC6x£xaL, oxav ix&itiwoL xovg dito XQLadog e%ijg 
aQxCovg xal 7t£Qtxxovg dQL&\iovg TtQog xovxovg 6vy- 
xqCvg)[1£V xovg dno 7t£vxddog xa&aQOvg 6vv£%£ig w 



XXI. Io. Phil. qv&— pgy. — lambl. p. 59. 60. — Boeth. 
I. 23. — Schol. Nr Nobb. p. 15. 16. 



1. svTuvftu C — rjfiLGSog S -ovg H — uq%s6&ul om. 
H — uv~\ uvsv P — 4. tl&sllsv H — 5. uvrov P — 6. 
cogts\ uv add. P — 7 — 12. sItu . . . ■nataXXrjlLa om. G t — 
7. 8. unb quater ponunt G 2 S — 7. sndoficov P — 8. IIsq- 
6cov itQ0$\r\6LV P — 9. xa yu.Q d~ brs nuQuXoyov P — 9. 10. 
r]ii. S6tl nuX. G. 2 — 10. tqltov] hul tc\ § oydou tstuqtov 
add. S — snLfiOQtov P — 13. snsnLLiSQrjg P — 14. bXog 
om. SH — s%r\xui om. H — 15. suvtov C — 16. rj scpsg. CH. 

XXI. TIsqI y svsescog snLfiSQCov rs v.ui vn snLfis- 
qcov P — 18. sv.ftsLLSvog H — 19. 6vyy.Qtvofisvovg P 
-ivoiisv S -Cvco H in mrg. llsv. 



API0MHTIKH EISAr^rH. 



57 



7tSQL660Vg {lOVOVg, 71QC0T0V TtQOg TtQCOTOV, olov xov 

s TtQog xov y, xai dsvtSQOv 7tQog dsvTSQOv, olov tov 
£ 7tQog toV o% xai tqCtov TtQog tqltoVj olov TOV & 

7tQOg TOV £, XO.i TSTO.QTOV TtQOg TSTCCQTOV , 0£OV toV 

5 ta #oos ro> g, x«t scps^rjg ttj avTrj to\sl scp 060- 

vovV ovTcog yccQ svTaxTa ta tov STtt^LSQOvg ts xai 

p vTtSTti^iSQOvg si'drj xatd tovg sxa6tov Ttvftyisvag 6r\- 

32 lcQ&r\6staL^ S7tLdL{iSQsg itQcotov, sita sitLtQL^isQsg xai 

STtLtstQa^isQsg xai STtLJtsvta^isQsg xai scps^rjg siti 

10 TtXsov 7taQa7tkr](5LCog' (istcc yccQ tovg Ttv&psvag 

sxa6tov ysvr\6ovtaL oi 6vvs%sig 6L7t\a6La%o\isvcov 

d^LcpotSQcov tcov oqcov rj tQLitXa6La%o\LSvcov xai olcog 

KaTa Ta tov 7tokkaitka6LOv svTaxTa sldrj {isys&vvo- 

psvcov. 

15 OL KV&UEVSg. 



85 



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1. nQog y G GvynQLvcov add. U — 3. otovj cogjrfp H 
— 6. 7. Tf v.ctl vnsn. om. P — 8. 9. xai fVtT. xal £7rt7r.J 
£tra . . . slxcc S — 9. xcri snLnsvxau. om. C — scps^r]g\ 
ouoLtog xat add. SH — 12. TptTr^aoia^.] rj xsxQunluGici^o- 
usvcov 7] nsvxccnlaGici^ousvcov xat s^ijg naxa xr)v xdi-LV xov 
nolkanXaGiaGuov add. S — 15. bis proponitur schema in 6; 
in priore (ot nv&u. om.) subscripta supra leguntur, post se- 
riem perpendicularem decimam f, l8 . . . quarta repetitur; 
pro vs (20) legitur v&, pro ^y, /lg (24) £p\ Ag; abest schema 



58 



NIKOMAXOT PEPAZHNOT 



2 7tQOgsxTsov ds\ otl sx \isv tcov dvo \isqcqv tojv Tioog 

TC5 0X0J SVOVTGJV TOD \ISL%0VL TO TQLTOV VTtaXOVSTaL, 
STtL d£ T03V TQLOJV TO TSTCIQTOV^ STtl 6s TOJV TS66CCQ03V 
TO 7tS\l7tTOV , STtL 6s T03V TtSVTS TO SXTOV XCCl dsl OV~ 

rog, iva r) TtQO^aaig xaTa ty\v 6vo\ia6Cav TOiavTiq 5 

Tig 7] ' STtldlTQlTOg, STtlTQLTSTaQTOg, S7tLTSTQCC7tS\l7tTOg^ 

sha sitiTtsv&SKTog xal 7taQa7tlr}6tojg STtl tcov Xont&v. 

3 Al \isv ovv tov TtQog ti 7to6ov aitXal xal cc6vv- 
&STol 6%s6SLg aWs sl6lv aC 7tQols%%-SL6aL, al ds 

- 6vv&stol s% avTOJV xal olov 6v\i7tlaxsl6aL sx dvotv io 
stg \iLav sl6lv aWs, cov TtQokoyot \isv TtoXXartXa- 
6LS7tL\iOQLog xal 7toXXa7tXa6LS7tL\jLSQY\g^ VTtoloyoL ds al 



£V&V 



g sxaTSQa tovtcov 6vvvcpL6Ta\isvat , 6vv rfj 



aP; ex eorum, quae reliqui codie.es praebent, numero hocce 
ex cod. C desumptum quod proponamus dignum uidetur: 





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1. £* PG^, Iwl 6VSH in ras. C — 6. rt? del. H — 

fTTtO^tTO.] 87TITQIXOS P STUXQIXSTCCQT. OIU. P 7. fTrOC 

om. H — 11. mv om. H — 13. sy.utsqco P skcctsqcc G 2 
cci SCp' SKCCTSQCC H — 



API0MHTIKH EI2Ar^rH. 59 

vtio 7tQ0&s6SL ovoixa^o^svaL , 7toXXa7tXa6LS7tL\xoQCco 

[IEV 7] V7t07t0lXa7tla6lE7tl^l0Qi0g , 7toXXa7tXa6LE7tL\LSQEL 
d£ 7] V7t07toXXa7tXa6LE7tLlXSQ7\g, Xal Xa&' V7todtaCQS6LV 

tcov ysvcov cd sidLxal ralg sCdLxalg av&V7taxov6ov- 
5 Tat, [ista %r\g v%o 7tQO&s6scog xal avtaL ovoixa^o- 
(xsvaL. 

xfi. nolla7tla6LE7tL^LOQLOg {l£V OVV S6tL 6%s6ig, XXII 

otav tcov 6vyxQLVO{iEV(ov 6 [isC^cov TtXsovdxLg 7] a%a% 

s%rj sv savtco tov sXa66ova xal TtQog tovtco (jloqlov 

io tL sv avtov olov drJ7tots. dLttcog ds cog av dr) 2 

Gvv&erog 6 TOLOvrog TtOLxCXXsraL xatd tr)v tcov 6v\x- 

7tXEX0\XEVC0V OVO\xdtCOV Xa& SXatSQOV LdLOt7]ta' ETtsl 

yaQ 6 7toXXa7tXa6LE7tL\xoQLog sx ts tov 7toXXa7tXa6tov 

xal tov E7tL{iOQLOv ysvLXcog 6vyxsLtaL, s%el ev talg 

15 sldLxalg VTtodLaLQE6s6L TtOLXLXCav tLvd xal s%aXXay7\v, 

CdCa \xsv xatd to TtQotEQOv \iEQog tov ovopatog, 

idCa ds xatd to dsvtEQOv^ olov xatd \xsv to TtQots- 

p qov to tov 7toXXa7tXa6Cov to dt7tXa6L0V rj tQL7tXa6LOv 

33 ij tstQa7tXa6LOv r] 7tsvta7tXd6LOV xa\ scps^g y xatd 

20 ds to dsvtEQOv a%6 tov stilixoqCov ysvLXcog td sldLxd 



XXII. Io. Phil. q'%8 — qos. — Iambl. p. 60 seq. — 
Boeth. I. 24. 25. — Schol. NT Nobb. p. 17. 

1. 6vo{iu£ovTcu H — nollanXaoLsnLusQr) G — 2. 3. r) 
bis om. PCH — 5. ccvtccl H. 

XXII. TIsqI noXXanXa6Lsm}.LOQLOv GPCH — 7. 

S6XL Om. G *>%£<>■ Tl ? P — 8. 7toX?.CCY.LQ P — 9. XOVTO Gy 

— 9. avxcp G t — 10. dLTtloag CSH cf. Io. Phil. q'E,s - 8r) 
om. P — 11. dLOvv&STog G — xoiovxog\ XQonog add. P — 
GvuTclaKSVTCOv G 2 SH — 14. ysvixcog] nara xo noXXanXcc6LOv 
xai xo sniuoQLOv add. G 2 — 15. xlvcc om. SH — 16. 17. 
idia bis P ISCav S — 16. nQcoxsQOv P — 17. Ssvxsqov] 
fxsQog xo xov sni!.LOQLOv add. S — 19. scps^rjg] cogxs xr]v gvv- 
&S6lv xoiavxrj xlvl xai-SL nQO%coQSLV add. G cf. p.601in. 2 — 3. 

— 20. ccnb xov] avxi xov S xo xov CH — to: om. GP 



60 NIKOMAXOT TEPASHNOT 

ccvtov evTUXTu ro icprjULofoov, ro iitiToiTov, ro i%i- 
tstccqtov, to iTtCiteuTtTov xccl icpe\\r}g, cogre ty]v 6vv- 

&e6LV TOLUVTTj TLVL TCC&L 7tQO%COQeLV' 
dLTtXatiLeCpYlllLGvg, dL7tXu6Le7tCTQLTOg, 6L7tXu6Le7tLTeTUQ- 

rog, dL7tXa6Le7tL7te{L7tTog, 6L7tXu6Le7tCexTog xal dvd- 5 
koyov, 
xal liTt uXXrjg uQyr\g TQL7tXu6Lecpr]uL6vg , TQLTtkaCi- 

eTtLTQLTOg , TQL7tla6Le7tLTeTaQTOg , TQL7tXu6Le7tL7te\l- 
TtTOg, 

xal ttuXlv dvcod-ev TeT QU7tXu6LecprjuL6v g, TeTQU7tXa6t- io> 

eTtLTQLTOg, TeT QaTtXaGLeTtLTeTUQTOg, TeTQU7tXu6Le7tL- 

7te\ntTog, 
jtul txuXlv uvco&ev 7tevTU7tXu6Lecpr]UL6vg^ 7tevTuitXu6L- 

eTtLTLTQOg , 7teVTU7tlu6Le7tLTeTUQTOg , 7teVTU7tXu6L- 

e7tL7tea7tTog 15 

xul tu TOVTOtg i% ' uTtetQOv dvuXoyovvTu ' 06UKLg 
uev yuQ 6 ueCtlcov tov iXuTTOvu oXov iv euvTco 

e%eL, TtUQU Tr]v T06UVTr\V 7t060Tr\TU 7tUQOVOUU~ 

6d-r]6eTUL to TtQOTeQov ueQog tov Xoyov tcov 6vu- 

TtXeXOUeVCOV iv TCO 7toXXu7tXu6Le7tLUOQLCO, oiov 6*' UV 20 

to uoqlov ro 7tQog tco TtoXXdxtg oXco ivvTtUQjov iv 
tco ueitpvL r) , TtQog ixelvo TtuQcovvuov e6TUL ro dev- 
TeQOv eldog rot) Xoyov, dcp' ov 6vvfteTov ro TtoXXu- 
3 7tXu6Le7tL\ioQLov. vTtodeCyauTu de uvtov' 6 uev e 
tov /3 6L7tXu6LecprjUL6XLog , 6 6e £ tov y 6L7tXu6Le7tC- 25. 

1. ccvtov om. P — Idicc xorl svtccktcc H — 1. 2. to 
om. quater H — tjuloXlov S — 4. 5. dLnla.6LScpr)u. . . . Sl- 

7tXcC6LE7tL7tEU7tT. Om. P 10 12. Y.CCL TCCcXlV . . . TSTQCCTtXct- 

6iS7tC7tsa7tT. om. (i. — 13. ccvca&sv om. H — 14. tisvtci- 
7tXcc6iS7tL7t. om. H r — 15. xcc snl TOVTOig PH — 17. ycio] 
dv add. H — oXov om. C — 18. nccQOvoud.6STccL PS 
— 19. 6vu7tXsyusvcov H to 6vunsnXrjQc6usvov S — 21. 
TtQovTtccQXOv C nQogvnctQX- SH — 22. s6tl SH — 23. si- 
dog~\ usQog SH — 25. dinXcc6LScpr^L6vg G. k CSH 



API0MHTIKH EiEArarH. 61 

TQitoq, 6 6e # rov 6 6i7tla6iE7tiT8TaQTog , 6 ds Ltt 

TOt; £ dl7tktt6L87tL7t£[l7tTOg ' Xttl CCL£L OVTGJg SVTCCKTOVg 

avTovg y£vvr\6£ig 6vyxQCvcov Toig cctio dvccdog i£ijg 
ccQTLOLg xccl 7t£QL06oig Tovg cctco TtzvTccdog xcc&ccQOvg 

5 7t£QL660Vg, TtQGJTOV TtQGJTCd, d£VT£QOV d£VT£QGJ, TQL~ 

tov tqCtoj xal roi)^ akXovg 6[ioTccy£ig Toig opoTccyi- 
6lv^ ccTto dvttdog dh tgjv £.cp£^rjg TtocvTOJv ocqtCgjv ol 

tt%0 7t£VTa8og 6VV£%£ig 7t£VTttdL dLCCCf£QOVT£g dLTtktt- 

6L£Cpri{lL0XL0L XttfroCQOL £60VTOCL 6{iOTccy£ig 6{lOTttyOJV, 

10 CCTtO d£ TOV TQLTOV TtttVTOJV TG3V TQLttdl d LCCCp £QOVTGJV 

ixT&ivTGJv, olov 

y, g, -0-, c/3, tf, m}, xcc, 
xccl iv ttXloj 6tl%oj tcov ocTto ipdo{iccdog ifidoyittdL 

dLCCCp £QOVTOJV £7t CC7t£LQOV ixT £& £VT OJV , oloV 

15 £, t(3, xcc, xr\, Af, ft/3, fifr, 

Xttl 6vyXQLV0^L£V0JV [l£Lll6vOJV ilttTT06L , jrpCDTOU 

TTpCOTCO, $£VT£QOV d£VT£Q0J, TqCtOV TqCtGJ, T£TttQTOV 

T£TCCQT0J, Xttl icp^Yjg, TO 8£VT£QOV £ldog ttVCCCpttCv£TttL 

p TO TCOV 6L7tXtt6L£7tLTQLTGJV {l£Ttt TTJg OLXHttg £VTCC^Cttg 

34 £KX£C[l£VOV. £LTCC Ttttfov CCTt ttXXfjg <XQ%rjg ttV £XT£&r) 4 

21 O TCtfV T£TQCC7tltt6C0JV xcc&ccQog 6TC%og, 

o% rj, t/3, ig, «, ^, »??, A/3, 

£IT« 7tttQ£XT£d-f] ttVTGJ £V ttlloj 6tC%GJ 6 CCTtO Tfjg 

ivccdog ccQ%6{L£vog xcctcc ivccdog 7tQOX07tr]v 6vv£%r]g 

25 CZQld-llOg, OLOV 

#, m?, xg, Ag, f*£, vo\ 

£%0[l£V CCVttCpttLv6^L£VOV TtttXlV TOV £L$Lx6v TtoXXttTtXtt- 



6. ouotccysLg om. Jf - 8. a?r6 tov £ SH — 10. Slcc- 

CpfiQ6vr(Ov\ TtQOXOiQOVVTCOV (' SlCCCfOQCC 7tQ0%.SH 20. 71CCQCC- 

re&fj SH — 23. allog ozi%og ccito C — 6 om. G — 24. 
ivvccdog bis PH svvsdSog C — 24. 25. cvvs%cov ccqi&ucov 
C — 26. v8\ §y, o/5 add. H — 27. tdixov P 



62 



NIKOMAXOT PEPASHNOT 



Otmt^ioQiov , xovxecSxL xbv dLTcXaGiemxhuQxov evxcc- 
xxov' xccl xovxo STttvoeiv 7tccQ€6xc xco ^ovko^evcp 

5 yL£%Qtg cctislqov. xb de sxsqov eidog a.Q%exoiL ditb xov 
XQL7tXtt6Lecpr]HLC3ovg , olov 6 £ JiQog xbv /3 xal 6 cd 
TtQog xbv d xal ttTtkcog ot xcc&' e^do^ddcc ttqo- 5 
%coQOvvxeg TtQog xovg ditb dvddog evxdxxovg d.QxCovg. 

6 eixcc Jtctfov fjj v7tccQ%rjg 6 l TtQog xbv y XQLTtXccOLeTtC- 
XQLXog e6xL jtQcoxog^ 6 de x TtQog xbv g XQLTtXaGLeizC- 
XQLXog devxeQog, xccl ccjtXcog ol 8 exa.it Kd^LOL e<pe%rjg 
TtQog xovg ecpe^rjg xQLTtAcccjCovg' cc dr) dxQLfteaxeQOV io 
xaxLdeiv dvvd[ie&cc xccl XQttvbxeQOv ev xcp TtQoeTtt- 
yvcoGftevxL dtttyQtt[i[ittXL' TtQog fjtev yttQ xbv tiqcoxov 
6xC%ov ol ecpe^rjg xcc%€L 6vyxeC^evoL oIol TtQog bXov 



4. 7tQog xbv tfi f Ttgog xbv /3 P xd Q . . . xd t8 . . . xd 
8 SH — 6. svxrinxovg om. C — 7. slxu om. CSH — xd 
i . . . xd y SH — 8. rtQcaxog . . . tqltzX. om. G { nQCoxog . . . 
Ssvx. om. P — xd 6s v. ... xd s G 2 SH — 9 Ssvxsqo /// G Y g G % 
— 8sY.UTtld<sioi\ SsndSi Stuq)SQOvxsg G., — 10. TQtnXuotovg] 
xqiuSl SiucpsQOvxag G 2 superscr. S StnXuotovg PH. G hocce 
add. diafframma: 













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API0MHTIKH EISArP.rH. 63 

tcc tov TtoXXccitXaoCov evtaxtcc eidr] e% ccTtetQOv 
vitooetxvvovOt 7tadg xov ccvtov ccbI nQtoxov ccTtccvteg 
OvyxQiv6{ievoL, Ttoog de TOi)g vTteQccvco ltccvtccg ecpe^rjg 
etg exccOtog TtQog tov yeCtovcc' tfjg ttQ%rjg r\\ilv ccito 
5 tov davtSQOv ytvopevrjg OtC%ov Ttccvtcc tcc tov eTttyto- 
qCov eidrj xatcc tr)v oixeiav evta^iccv yevvcctcci^ ccito 
de tov tQttov ottyov itQog ccvtov te TtQcotov xccl 
tovg Ovve%etg ccvtco xa& exccotov oi ccito tov neyt- 
Tttov TteQtOOotccyelg Ttctvteg ccvte^et cct,6^evot tcc tov 

10 eTtiyteQOvg Ttccvta eidrj evtccxtcc vTtodei^ovOt' tov de 
TtokkccTtlttOteitt^oQtov cci OvyxQtOetg tcc^tv cpvOtxrjv 
xccl idiccv e%ovOtv, eccv cctxo tov devteQOv Oti%ov ccq- 
%6{ievot tovg ccito tov Tte\nttov OvyxQivco^tev ccQtft- 
{iovg, TtQcotov 7tQog 7tQcotov xcd devteQOv TtQogdev- 

15 teQOv xccl tQttov TtQog tQttov xccl ovtcog e%ijg , TtQog 
de tov tQttov TOt)g ccTto tov efidoytov , TtQog de tov 
tetccQtov tovg ccito tov evcctov , xccl xcctcc tr)v ccq- 
liotlovOttv evtcc^iccv , pe%Qtg ccv evtovfj ttg TtttQeite- 
O&cct. dijXov de\ oTfc oi elccttoveg Ovv tij vito %qo- 7 

so fteoet ttvtovo^tcctlovtttt xccl ev&ccde 7tQog tovg yteitp- 
vccg xcctd tdg eyxet^ievccg TtccOt 7tQogr\yoQiccg. 

35 xy. noXXccTtXccOteTtijieQrjg de eOttv r\ kotitr) 0%e- XXIII 



XXIII. Io. Phil. QOZ— Qha. — Iambl. p. 60 seq. — 
Theodori Protocensoris schol. (cf. Io. Phil. praef. p. XIV.) — 
Boeth. I. 26. 27. — Schol. NT Nobb. p. 17. 18. 



1. sn cxnsiQOv om. H — 2. ccnccvxtt G x — 5. yivocis- 
vov GP — 7. nocoxov add. Ast — xal om. G — 8. av- 
xov G — cxno nsvxs S — 10. dnodsi^ovGi CS — 14. nQCo- 
xov 7tQc6xcp . . . Ssvxsqov Ssvxsqco H — 15. xqixov] GxC%0V 
add. G. 2 — 15 — 17. artic. ante xqCx., sfid., xsx., sv. om. H — 
20. iv4ads] svdda G { -~ 21. SMSiiisvtts G 2 — 7ttt6ccg H 

XXIII. FLSQi 7tOlltt7t?.ttGLS7tLllSQOvg GPH — 22. 

oi Xoi7tr\ G 



64 NIKOMAXOT TEPASHNOT 

<5i$ tov dQL&\iov ' avtrj ts xa\ r) 6vv tf] vito tiqo- 
&s6sl dvtovo\ia^o\isvr] avtfj tonv, ot«v aQL&iiog tov 
6vyxQLVoLisvov doi&fidv oXov ts 8%]] sv savtco itXso- 
vdxLg rj dita^ (tovts6tL o\g r) tolg r\ o6ax.Lgovv) xal 
Ttoog tovtco {1801] iwd avtov TtXsCova svog r) /3 rj y 5 

2 r) d r) s xal scps^rjg. tavta ds ovx s6tt \isv r)\iC6r] did 
td TtQoXsft&svta rjtoi ds tQLta r) tstaQta r) TtsiiTtta 

3 xa\ xatd tr)v 6\ioCav dxoXovd-Cav. ov %aXs7tov ds sx 
tcov 7tQocpQa6d-svtc3v vorfiaL xa\ td tovtov sldr}, obg 
6\ioCcog xa\ aTtaQaXXdxtcog tolg %qo avtov tiolxCX- io 
kstaL, dL7tXa6LS7tidipLSQvg, sita dL7tXa6LS7tLtQL\i8Qr)g^ 
slta di7tXa6L87tLtstQa\isQr]g , xa\ dvdXoyov ' olov 6 
liev rj tov y 6L7tXa6L87tL6LiiSQr\g xa\ 6 tg tov £ 6l- 
7tka6iS7iLdiLLSQr)g xa\ xa&oXov ol aTto oydoddog oydo- 
ddt dLacpSQOvtsg tcov dito tQtdoog tQLaOi OiacpSQOv- 15 
tcov, oiiotayslg 6\iotaycov , xa\ S7t\ tcov Xolticov si- 
dcov OvvaLt dv tig dxoXov&cov tolg 7tQOSLQr]\isvOLg 
svqC6xslv tr]v svta%Cav' xdvtavfta Os 6vv tf] vito 

7tQOfi-S68L VOYjtSOV 7tQOL0V6aV XCCL 6VLLLl8Xa(laXXo\l£- 

vr]v ti]v tov 6vyxQLvo\isvov dvtovo\ia6Cav. 90 

4 Kal ovtcog aC dsxcc aQL&\ir]tLxa\ 6%s6SLg TtSQag 
7]lilv trjg frsooQCag, cog sv TtQcott] Xa\ij5dvov6Lv sCg- 
aycoyfj ' s6tL os tLg yXacpVQcotSQa scpodog xa\ dvay- 
xaLOtdtr] TtQog 7ta6av tr)v tcov oXcov cpv6LoXoyCav, 
rjrig 7]lilv 6acps6tata xcd dva^xcpLXsxtcog 7taQC6tr]6tv^ 25 

1. avTri S — 1. 2. ai . . . dvrovoua£ousvaL GP — 2. 
s6tlv addidi — 3. TtoXXdyag P — 6. zavra om. S — 
10. rocg tov tzqo SH — 12. 8L7tXa6L87tLTSTQa(i.] slra dmXa- 
Gi?7Ti7isvTa(i8Qrjg add. C v.al ndXiv TQmXa6iS7ii8i\isQr\g, tql- 
7tXa6 1 stiit QipiSQrig , TQL7tXa6LS7ttTSTQaasQr]g add. SH — 14. 
Y.aQ-6Xov P — 16. 6uoTaycQv\ di7tXa6iS7tLdLU8QSLg sl6l add. C 
— 19. 6VU7tQ0LOv6av SH — 6v(jL(3aXXousvr]v C — 20. avTO- 
vo(jLa6Lav d — 22. tj(ilv Tr\g om. CSH — XaufidvSL H — 
23. yXacpvQOTSQog d — 24. nu-jav om. C 



API0MHTIKH EISAr^rH. 65 

ort 7tQc3tov pev to xakov xai coQL6[ievov xai vTto 

e%t6tr\\Xr\V TtLTttOV CpV06L 7tQOy8V86tSQOV tov aoQi- 

6tov xai aTtSQiX^Tttov xai al6%QOV, slta ott xai ta 
tov ajtsiQov xai aoQtGtov {isqy) xai ei'dr\ vit exeC- 

5 vov [iOQ<povtat xai TtSQaivstat xai tov 7tQogr\xovtog 
xo6ixov xai evta%Cag tvy%dvet xai cogTteQ vtxo 
OcpQayidtrJQog ttvog r\ pstQOv Ttavta td e^tTtCTttovta 
fjLetaXaii(>dvsi trjg 6\iOLOtr\tog xai opavvijLLag' ovtco 
yaQ evloycog xai to tr\g tyv%r\g XoyLXov tov akoyov 

10 xo6^r\tixov s6taL xai 6 frvixog xai r\ STttftvyila ev 

tolg trjg dvL6otr\tog bvtiiv sl'6s6l tstay^tsva vTto 

p tov dLavorjtLxov evtaxtr\%r\6ovtaL cog vito ttvog l6o- 

36 T^rog xai tavtotr\tog. sx ds trjg a7tL6co6scog tav- 5 

tr\g oQ&cog r\(xlv a7to$r\6ovtat cd Xeyo\xevat r\d-Lxai 

15 aQStai, 6acpQ06vvr\ , dvdQsCa, 7tQaotr\g , syxQatsta, 
xaQtSQta xai aC opoLaL. 

Osqs ovv iitiGxeilHDiis&cC) TtotaTtov to eig td 6 
tpv6Lxd tavta 6vvtslvov %-ecoQr\ixa' s6tL ds aTto- 
OSLXtLXOV tov a7t t6otr\tog \xovcotdtr\g xai TtQcotC- 

20 6tr\g olov {ir\tQog tLvog xai QL%r\g yevva6^aL Ttdvta 
t« trjg dvL6otr\tog TtotxCXa ei'dr\ xai slScjv dLacpOQag. 
7tQOXsC6d-co6av yaQ t)ixlv sv tQL6iv OQOLg I60C tLvsg 7 
dQL&ixoC, 7tQc3tov ixsv \iovddeg, sita dvddsg sv dllotg 
tQL6Cv, sita tQLadsg, xai' s^rjg tstQadsg , STtetta Ttsv- 

2btddsg, xcd toi)to [ie%QLg ov fiovlei' ovtco yaQ trjg 



1. coqlgusvov) xo loov add. S — 2. uinxov GPC — 4. 
ycu doQ. usq. Kcti om. C — vtc'] sti S — 10. SGxi S — 
11. xoig dviooig GP xolg xr)g ccviGoxrjxog CSH Io. Phil. 
QOr}. has quodammodo inaequalitatis formas Boeth. I. 27. 
— 15. ccvSqlcc P — 16. KCCQXSQiu om. S — 17. 18. sig cpvo. 
xoiavxcc H — 18. cc7Co8sly.xly.6v] uovccdLnov S — 19. lgco- 
xrjxog G — y.ccl 7ZQcaxLGxr]g om. P — 20. XLvog om. P — 
24. yiccl £|. xsxq. om. G — 25. touto om. C 

NIC^I. ED. HOCHE. 5 



(36 NIKOMAXOT FEPASHNOT 

tovtcov sx&s6scog &sico ttvl xul ovx uv^QcoTttvcp 
Xoycp^ dXX' d%6 cpv6scog ccvtrjg ysyovviug TtQcotot 
\isv ysvr\6ovtut 7toXXu7tXd.6tot , xal tovtcov avtcov 
Y\yY\6stat \l\v dt7tXu6tog , iist' avtov ds tQt7tXu6tog, 
STtl 8s tovtcp tstQU7tXa6tog\ situ 7tsvtu7tXu6tog, xul 5 

XUtU tfjV 7tQOS7ttyVtQ6$SL6UV Y\[ltv tU%LV STt' UTtSt- 

qoV dsvtSQog ds STtt^iOQtog^ xul tovtov TtdXtv Y\yr\- 
6stat to 7tQc6tt6tov sidog YjiitoXtog^ STtl tovtcp ds to 
{ist' uvto STtttQLtog^ STtl ds tovtotg 6 td^SL s%rjg 
STtttstUQtog xul S7tL7ts\i7ttog xul scpsxtog xul uvd- 10 
Xoyov S7t UTtstQoV tQttov ds ro S7tL[iSQs'g , xul Ttd- 
Xtv avtov tovtov S7ttStiiSQsg iisv i)yr\6stuL, sTtstca 
8' sv&vg STtl tovtcp to sTtttQtiiSQSg , sltu ro STttts- 

tQU^lSQSg , V.CCI SV&vg TO STtLTZSVTCCLLSQSg, xul {is%Qtg uv 

8 7tQO%coQY\ ttg dxoXovfrcog totg Sil7tQ06&SV. TtQOg- 15 

tdyytutu ovv ttvu dst s%slv olov voiiovg cpv6cxovg 

uTtUQsyxXttovg xal aTtuQu^dtovg^ olg 7tu6u y) TtQoXs- 

%&St6U 7CQ0fiu6Lg Xul 7tQO%c6QY\6tg UTtO tYJg t6otr\tog svo- 

dco6sL iir) XsLTtotuxtovyiSviq' tuds7tQogtdy\iutatuvtd 

SCiti, 7tQCOtOV TtQCOtCO 160V 7tOLY\6UL, SsVtSQOV 8s TtQCOtCO 20 

uiicc xu\ dsvtSQcp, tQLtov ds TtQCOtcp xul dv6l dsv- 
tSQOtg U[IU XUL tQLtCp' ysvotto yuQ iistu tovtcov 
tcov voyicov 7tXu66ovtt 6ot svftvg iisv tu rot; TtoXXa- 
7tXu6i'ov ccTtccvtcc sl6y\ tci%SL sx tcov tr\g i6otr\tog 



1. S"Ao.Gxr\g sh&sg. SH — 2. dno\ vno' S — ysyovccg 
P — 4. fisz' ccvtov\ llstcc tovtov H — 9. lvst' CCVTOV CSH 
— T.ovTOig] -ov S ~(p H — 10. sItcc stiiti. CSH — v.ort 
scps%Tog om. H — 11. sn' om. G iis%Qig oltcslqov CSH — 
12. tovtov om. H — stySTca CSH — 13. sitl om. H — 

14. "Aa\ . . . stiltcsvt. oiii. G — sv&vg] tovtg) acld. H — 

15. dxolov&cov P — 18. svdcoasi P — 20. sctccl H — ttol- 

, „ ,0 

rjoov S — 22. yccQ] ccv add. Ast — 23. tcXccggcovti G — 
gol] (iol C — 24. Trjg lgot. om. P 



API0MHTIKH EIEAr&TH. 67 

tQtcov ixxauivcov oqcov otov fiXu6tdvovtu xui ix- 

<pv6[i£va, aov fi-rjdsv i7tttrjd£vovtog [iqdh 6vXXu\ifici- 

vovtog ' xui ix plv t6otr]tog £v&vg to 6t7tXu6tov^ 

P ix d£ 6t7tXu6iov £vd-vg tO tQi7tlu6lOV, ix dh tQtTtXcc- 

37 6tov i£,rjg to t£tQU7tXu6tov xui ix tovtov to Ttevtu- 

6 7tXu6tov £vtdxtcog xui tovto yti%Qtg u£t. ix dh uv- 9 

tCOV tOVtCOV tCOV £VtUXtCOg 7toXXu7tXu6icOV UVU6tQU~ 

cpivtcov £vftvg y^wcovtut cpv6£t ttvi uvuyxuiu dtu 
tcov uvtcov tQtcov TtQogtuy^tdtcov ot i7tt[i6Qtot, xui 

io ovtot ov% cog £tv%£V ovdh utdxtcog^ dXXcl tfj TtQog- 
rjxov6rj uxoXovftiu' ix yt£v tov TtQCOtov 8t7tXu6iov 
clvu6tQucpivtog 6 7tQcotog r]\itoXtog , ix dh tov dzv- 
t£QOv tQtitlu6tov 6 iv ix£tvotg d£vt£Qog iitttQttog^ 
£ttu iitttituQtog ix t£tQuitXu6iov. xui uTtlcog £Xu6tog 

15 aTt ixdvov, cp 7tuQcovv[i6g i6ttv. uTto dh uXXr\g uq- 10 
%rjg uvtcov tcov iTtt^iOQtcov ixx£L k u£vcov, cog7t£QXui uv£- 
cpvr\6ccv , uvu6tQocpcog [livtot, y£vvcovtut oi cpv6£t 
\L£t uvtovg i7ti\jL£Q£tg ' uTto u\v tov r)\itoXiov i%t- 
dt{i£Qtjg^ ccTto dh tov iTtttQitov i7tttQt\i£Qr)g xui iitt- 

20 t£tQU\l£Qi)g ix tOV ilttt£tUQtOV XUt ilt U7t£tQOV tfj 

avtfj uvuXoyia. ptr) uvu6tQ£cpo{iivcov de, uXX' 6q- H 

ftcog ixX£t{l£VG)V tCOV £VtUXtCOV iTttfiOQicov y^vvcov- 
tut dtu tcov uvtcov 7tQOgtccy\idtcov oi TtoXXuTtXu- 

6t£7tt\lOQtOt' dt7tXu6i£Cpr\\ll6vg {l£V ix tOV TtQCOtOV 

•x fjiitoXiov, 6t7tXu6t£7titQttog 6% ix rov 0£vtiQOv im- 
tQitov, dt7tXcc6t£7tititc4Qtog de ix rou tQitov i7ltt£- 



1. xqlcov om. P — 3. xrjg i6ox. S — 4. xov dml. . . . 
xov xQinl. SH — 5. s^r)g\ om. S svftvg H — xo om. <iY 

— %ai £H ... nsvxanl. om. H — ns vxccnl. j sv&vg add. S 

— 6. svxctHxoav GH - 7. avTi6Tocc(psvT(av H — 12. nQcu- 
TL6Tog S — 13. SKSivrjg, ov H — 15. S6xiv\ 8s G — 10. 
KSiLisvcov H — 17. dvxL6XQOcpcog PH — 18. inLdLUSQSLg G 

— 21. CiVS6XQCillLlSV(OV SH 22. Y.SIUSV(0V H 



68 NIKOMAXOT TEPA2HN0T 

12 tuqtov, Kui dsi ovTcog. sk ds tcov s% dvu6TQ0cprjg 
tojv s7tL[ioQCcov ysvvrfosvTcov , tovts6tl tcov stcl^is- 
qcov, Kui tcov {irj s% dva6TQ0cprjg , tovts6tl TtoXXu- 
7cXa6LS7tL^OQicov, tiuXlv Tco uvtco TQOTtco 8lu tcov uv- 
tcov TtQogTaypaTCOv uTtoysvvcovTUL OQ&cog ts ksl^is- 5 

VCOV Kui UVU6TQSCp0{lSVC0V ol Tug loLTtug 6%S6SLg S[l~ 

13 CpULVOVTSg UQL&iloC. TtUVTCOV 6s TCOV 7tQOSLQr}{lSVC)Vi 

ysvs6scog ts uvtcov kul Tu^scog, oQ&oTrjTog ts Kui 
uvu6TQ0cpr]g vTtodsCyfiuTu uqksltco r)\ilv TtQog vtxo- 

14 [IVYJ6LV TU T06UVTU. SK [isv Trjg sv r]\iLoXCoLg 6%s- 10 
6scog Kui dvuXoyCug dvs6TQu\ifisvrjg sk tov \isCt,ovog 
oqov 6vvC6tutul 6%s6Lg sv STtL[iSQS6L XoyoLg STttdC- 
TQLTog, U7t6 ds tov sXuTTOvog KSL\isvr\g oQ&cog TtoXXu- 

7tXu6LS7tL\l0QL0g 7\T0L dL7tXu6LSq)lj\lL6vg^ COg UTtO TOV 

#, sr, o 15 

7]T0L 

-O", LS, KS 
7] 

<J, t, KS' 
sk ds Trjg sv imTQCtOLg uTto \isv tov iisC&vog S7tL{is- 20 
Qrjg tJtol TQtgs TtLTSTUQTog . u%o ds tov sXu66ovog 
dL7tXu6LS7tCTQLTog, cog sk rov 

tg, */3, & 

7]T0L 

tg, Ttrj) fi-d" 25 



#, xa, {i& 



1. ccvTi6TQ0cpfjg P — 3. xcci tcov (irj ... noXXccnX. om. 
CH — 6. Kcd firj clvaCTQ. H y.cti (ir) ccvTL6TQScpo(isvcov ot 
TCi sl'8r\ tt]s Xoinr)g 6%s6scog i(icp. ccq. tovtsgti Trjg noXXcc- 
7tXa6Lsni[iSQ0vg C — 11. xat dvccXoy. om. C — ccvts6tqcc(L(i. 
H — 13. OQ&rjg GC — 20. sntTQLTrjg G — snifiSQrjg SH 
snLTQifiSQrjg GPC — 21. sniTQiTSTccQTog C 



API0MHTIKH EisArarn. 69 

p 

38 sx ds trjg sv STtttstaQtOLg cctco iisv tov v7tsQS%ovtog 

S7tLitSQr]g rjtOL tstQaxLgs TtCTtsiiTttog , sx ds tov sldt- 

tovog 7tokXa7tka6LS7tLiioQLog r]tOL dLTtlatiLSTtLthaotog, 

cog sx tov 

5 x«, a, tg 

rjtOL 

xs, «£, Tta 

n 

tff, Ag, jt«. 

io fjrt Ttaacov ds tcov dLa^sv%^SLC5cov xal dcp' r)g diicpo- 15 
tsoaL, 6 lisv s6%atog tstQaycovog 6 avtog lisvsl, 6 6s 
TtQCotog sCg tov sldttova LtstafiaCvsL , Ttdvtcog ds ol 
dxQOL tstQaycovoc aXXa Lir)v xal stSQcog sx tcov 16 
stclllsqcov oi 7toXXa7tXa6LS7tLLLSQstg xal stSQoysvslg 

15 sTtL^SQSlg dvacpaCvovtaL , olov sx llsv trjg dtgsTtt- 
tQLtov d%6 llsv tov skdttovog oqov r) dL7t\a6Ca xal 
SLgsTtCtQLtog' sx ds tov LLsCtlovog r) tQtgsTtCTtsiLTttog, 
cog sx TTOU 

#, fc£, XS 

20 YjtOL 

1\ 

n 

xs^ 4 u, £d* 
sx ds trjg tQLgsTtctstaQtov sx llsv tov lllxqo^sqov r) 
25 6LitXa6Ca xal tQigs7tLtstaQtog , sx ds tov tisC^ovog r) 
tstQaxcgscpsfidoLLog, cog STtl tov 



2. inifiSQSLg G r) iniLL. H — inLTSTQcinhLinTog C — 
4. £k Trjg S — 8. 9. ry . . . nu om. H — 10. 8lu£sv%%8l- 
cd>v\ intell. 6%£G£cov cf. Io. Phil. qtcZ. Iambl. p. 70. — ccll- 
cpOT£QCu\ dficpoTBQCt GP intell. G%s6Big yivovTdL — 15. hm- 
Sltqltov C — 17. dinlct6L£nLdLTQLTog C — eniTQtnsLMTog 
C — 18. i* Tt)g & H — 22. 23. r} xs rj ll rj £d P — M. 

SnLTQLTtTCCQTOg C 25. d LnlcC6L8nLTQLT$TUQT0g C — 26. inL- 

TETQcctfidouog C — inl Trjg S 



70 NIKOMAXOT TEPASHNOT 

ig, xrj, n& 
r\roi 

tg, ftd, qkcc 

n 

{id 1 , og, QKCC. 5 

17 Ttahv de ix rrjg rer QccKtgeTttTteitTtrov^ olov rrjg 

KS, [16, Tttt, 

ttTto {iev rov elccaaovog r) dtTthccGtcc kccI rer QccKigeiti- 
Tte^iTtrog ev rolg 

Ke, o, o^g, - io 

ttTto de rov {iet£ovog Ttccfov eni^ieQr]g r\ 7tevrccKigs7te- 
vccrog cog ev rotg 

Tttt, p^g, q*is, 
Kccl Kccrcc rcc £%rjg eit ccTtetQOv ccvccXoycc kcc\ evccQixo- 
arcc evQr\6etg. 15 



6. £7ZLT&TQUYLgEnL7Z&(l7ZT0V GP — 7. Y&, (l&, TtCi iuuei'SO 

Ord. GPH 8. dLnXu6L&nLTSTQUn&(inT0g C — 9. sv Tolg] 

olov C — 11. S7tL7lSVTSVVCCTOQ C — 12. cbg &V TOLg] olov C 

13. nu,(i&. y& r^add. G x P{om.r}) — 14. tcc&E,. PH — 15. svQt]6&Lg] 
CSH[N]V (£ 2 adscholiaIo.Philoponi cf. p.XVed. meae)haecce 
addunt: snl nu6cov (ievtol tcov syhel(i&vcov &&6&cov [&Y&&- 

6&C0V G.,Sr] TtCCVTCOg OL UYQOL T&TQCCyCOVOL &L6LV' OL 8& (1&60L 

-COV 

&y tcov nX&vQcov ccvTcov ETt uXXrjXoig [-ccig G.> -ccg C -ug F] 
yiyofi&vcov [y&v. G 2 S] yu\ 6 (i&v TtQcoTog [a G. 2 ] Trjg unoysv- 
vco6rjg stg tov sXuttovu [&Xu%l6zov C] Trjg yzvofisvrjg (i&tu- 
^ulvsl, sv ccLLCpOTSQULg Ss Tccig y&.vvr}&&L6ULg 6 &6%UT0g YUL 
(iel£cqv T&TQccycovog 6 uvTog &6tlv [coguvTcog sl6lv r]. his 
additamenti uerbis cum codicum lectione eompositis (§ 15) 
Astius hanc proposuit scripturam: snl nu6cov ds tcov syy&l- 

(l&VCOV 6%&6&C0V , TCOV SlU^SV^frsi^CQV Y.UL UCp' r)g UfJLCpOT&QaL, 
nUVT&g 01 CCYQ0L T&TQUyCOVOL SL6LV, OL 3s (1&60L &Y TCOV TZl&V- 

q£v uvtcov &nuXXf]Xcov yCvovTUL • yul 6 (i&v nQcoTog Trjg ccnoy&v- 
vco6r\g slg tov &Xuttovu Trjg y&vvcou&vrjg ll&tu^ulv&l, Iv u(icpo- 
T&QUig d& Tutg ysvvrfo&L^ULg 6 &6%UTog yul (i&l^cov T&TQuycovog 
6 umog &6TLV. — In omnibus fere codicibus Nicomachi praece- 
pta exemplis quibusdam inlustrantur, e quibus ea, quae cod. 
Gotting. adscripsit, lectori proponere satis habuimus: 



API0MHTIKH EI2ArarH. 71 

1. (§. 8): oqcc, ncog sk rrjg loorrjtog dnoysvvcovraL rd 
t,ov noliccnlccGiov svr ccy.ru sidrj • 





cc 


cc 


u 


dtTT?.. 










cc 





d 


tqm\. 










cc 


y 


» 


rsrQccn?.. 










cc 


s 


i? 


7tSVTCC7Z?.. 










cc 


s 


H£ 


s'6,ccn?.. 










cc 


s 


?.s 


snrccn?.. 










cc 


t 


ufr 


OKTCCn?.. 










cc 


n 


ga 


svccn?.. 










cc 


& 


ncc 


bsv.an?.. 










cc 


L 


Q 



2. (§. 9): oqu, ncog ot tjulo?.lol ccno rcov din?.cc6i(ov ccvcc- 

OTQCCCpSVTCDV ' 

8in?.cc6L0L ccvcc6TQCccpsvrsg d |3 a 
[tjllloXlol] d g %' 

oqcc, ncog ol snCrQLTOL anb roiv TQLnXcc^Ccov, dvu6TQCcopsvTcov 

Y.UL TOVTCOV' 

TQin?>U6L0L UVU6TQUCpSVTSg -fr y a 

SnLTQLTOL -fr 10 L$ ' 

oqu, najg ■x.cci 01 snLrsruQTOL ccno rcov TSTQun?.tt6icov dva- 

OTQUCpSVTCOV' 

TSTQttnltt6L0L LS d tt 

SnLTSTCCQTOL 15 X KS ' 

ncog y.ccl sx. rcov nsvrccn?.cc6Lcov ol snCnsunroi ' 

v.s s a 

Y.S X ?.$' 



ncog sy. rcov stj,an?.tt6LC0v ol scpsv.T0L ' ?.? g cc 

lS uP u&' 



ncog sy. rcov snrccn?.tt6Ccov ol scpsfidouoL ' u& £ cc 

U& V? £8 ' 



72 



NIKOM. rEPAS. API0M. EI2AI\ 



KUL £K TCOV 0YTUnXu6LC0V OL inoySoOL' ^S Y] Ci 

ld ofi nu' 

y.ccl iv. tcov ivunXu6Lcov oi insvuTOL ' nu & cc 

TCCC h Q' 



Y.UL SY TCOV SsYUnXu6LC0V OL iniSsYUTOL' Q L U 

Q QL QYU. 

3. (§. 10): oqu, ncog uvu6TQOcpcog iYYsCusvoc ol inLUO- 

QLOL UnSySWr\6UV TOVg S7tLU£Q8Lg' 

TCC sl'Srj TOV irtLUOQLOV ' 

t)uloXlol 

UVU6TQUCpSVTSg STtLTQLTOL iltLTSTUQTOL 

<5 S t? i§ & ks % lZ 




SCpSYTOL 



scpsfidouoL 



YS u& us X<s £S vz u% 



STtLTtSVTUUSQSLg 
1% £* QY.U 



scps£ausQSLg 
u& hu oljff 



SCpSTtTUUSQStg 
gS QY. 6Y.S 



inoySooL 
TtU ofi £< 



STtOYTUUSQStg 



inSVUTOL STtLdSYUTOL 

Q h 7tU QY.U QL Q 



STtSVUUSQStg 



TtU QVy 671$ I Q Qh t'S,U 



iitLdsYuusQSLg 

QY.U 6lu VUU 



(in exemplis tribus extremis cod. G articulum adponit: ol 
inoyS. cet.) 

TsXog P. TsXog tov uqcotov uQLd-urjTiYrjg SL6uycoyi)g 
slg Svo tov rsQU6vvov u. TsXog tov nQcoTOv @l()Xiov HT 



Ed. 
Par. 

fi NIKOMAXOT TEPASHNOT 

nTGArOPIKOT 

APieMHTIKH2 EI^ATOrH^ 

T<>N EI2 ATO TO AETTEPON. 



10 



a. 'ETtetdr) 6xot%etov leyexat xal e6xtv , e% ov I 
eXa%t6xov 6vvt6xaxat xi xal eig o ekd%t6xov avakv- 
exat (oiov yQa[i{iaxa [Cev xrjg eyyqappaxov cpcovrjg 
6xot%eta Xeyexat, e% avxcov xe ydg r) 6v6xa6tg xrjg 
6v\i7td6r]g evaQ&QOv cpcovrjg *ul stg uvtd so%utu dva.lv- 
szcu- cp&oyyot de [leAcpdiag anaGrjg, dcp' cov aQ%exat 
6vyxQtve6&at xal s£g ovg dvakvexat' xotvfj de xov 
xo6{iov xd keyo\ieva xe66aqa 6xot%eta ditkd VTtaQ%et 



I. Io. Phil. Schol. inecl. rec. I (codd. fjfH) u — 6; rec. II. 
(cod. C) u—d. - Boeth. II. 1. 



1. TEPAZINOT P — 2. T1T0 om. P Hv&uyoQSLOV 
S Tov uvxov Cr Tov uvtov stg dvo dsvtsQOv [i — 3. 
stguycoyrjg om. P — 4. etg td dvo S — fiifiXiov dsvt. 
(om. tcov stg dvo) H 

I. 6. sXu%LGt. GVVlGt.] TtQCOTLGXOV UQ%StUL C — sXu- 

%LGtov] yQ. so%utov P in mrg. — * 8. ydg om. G — 9. x«t 
. . . uvuX. om. GP — : 10. ucp' cov] cpcovrjg P — 12. otoi- 
%slu\ cItisq add. C — unXcog P 



74 NIKOMAXOT TEPASHNOT 

Gc6{iaTcc, tcvq, vScoq, dr]Q, yrj ' ex yaQ jiqcotiGzgjv 
avTcov r) 6v6ta6Lg tov TtavTog cpv6LoloyetTaL xal etg 
avTa e6%aTa eitivoeiTai r) avalv6ig\ aitodel^ai 6e 
fiovl6}is&a, otl xal r) L6oTY]g 6TOL%etov e6TL tov Ttoog 
tl 7to6ov' tov yaQ aitXcog xccl xa& avTO 7to6ov \io- 5 
vdg r)v xal dvdg t« aQ%LXCOTara 6T0L%eta. e% c6v 
ela%C6Tcov xal eit dneLQOV del 6vvt6TaTca xal av%e- 
2 TaL xal eitl to txetov dvaXvo\ievov r i6TaTaL. cclld Tr)v 
\iev e%\ Tr\g dvL6oTY\Tog 7tQOX07tr)v xal e7tav£,r]6LV 
aTtedeC^a^ev dito L6oTr]Tog yLvopevrjv eTtl 7ta6ag 10 
anXcog Tag 6%e6eLg [ieTct TLvog evTa^Cag d^d tqlcov 
TtQogTay^iaTcov' Ioltiov 8\ iv' cbg aXr]&cog 6TOL%etov 
r), aTtoOeLKvveLV, otl xal al avaXv6eig e% avTrjv 
e6%aTr]v TteQcaovvTai ' ecpodov i6Teov tolccvti^v xa- 
ftoXixrjv. ' .15 

H /5. zlod-evTcov 6ol tqlcov oqcov ev (itlvlovv 6%e6ei 

xal dvaXoyCa^ ehe 7toXXa7tXa6Ccp ehe eTtL^ioQCcp ehe 
emijLeQet ehe 6vvd-eTcp aito tovtcov 7toXXcc7tXaGts7tLLLpQLco 
7]toi 7toXXa7tXa6Le7tL\ieQet , ixovov %va ev tco avTco 
Xoycp \ie6og TtQog t6v eXccTTOva frecoQrJTaL, ev cp 20 
{ieC£cov TtQog tov \1e60v r) dvaTtaXLV , alel tov iXdt- 
Tova dcpcaQeL dno tov \1e60v, edv Te TtQcoTog r) xeC- 
\ievog edv Te e6%aTog , xal TCftei cwtov [iev tov 



II. Io. Phil. rec. I s — 1(3; rec. II s—lcc. — Soterichi 
Schol. ined. (cod. H) — Boeth. II. 2. 



8. clvccXvollsvov G -llsvcc PSH — 9. snl om. H • — 
av^rjGiv H — 12. 13. XoLTtov, lv' cog aX. y, ccTtod. ctl 

GTOL%SLOV SGTL Y.CCL OTL Y.UL CCL UVuX. C — 14. SCpodov] OW 

add. P ds H — v.u%oXLVicog P 

II. H tcpodog P — 16. g%sgsl] &sgsl G t ; g%sgsl tue- 
tur Io. Phil. rec. II. s — 18. stilgvv^stco H — 7toX7.cc~ 

7tXcCGlTtlLL0QLCp 0111. GPH 



API0MHTIKH EI2ArOTH. 75 

ela66ova tcqcotov oqov^ to de leup&ev dito rov 

p devTeoov \iera rr]v ayaiQEGiv devreQOv ra66e oqov, 

40 evog de tolovtov tiqcotov xal dvo tolovtcov devre- 

qcov dcpaLQe&evTCOv dito rov XoLTtov , rovre6TLV aTto 

5 tov \ieC£ovog rcov do&evrcov 6ol, ro XetTto\ievov TtoCet 
tqCtov oqov xal eOovTaL al yLvo\ievai ev dllr} tlvI 
6%e6ei TtQoyeve6TeQa xard cpv6LV. Ttdhv de dit 2 
avrcov tovtcov tco avTco TQOTtco dv dcpeXyg oqov to 
Xetito^evov r , ot TQelg oqol dvaTteTto6i6\ievoL 6ol evQe- 

io %-r\6ovraL eig Ttvd-\ievLXcoreQOvg dllovg TQeZg, xal 
tovto del dxolov&ov evQt]6eLg yLvoytevov, \ie%QLg dv 
eig i60TY]Ta dva%ftco~6LV' e% ov Tta6a dvdyx?] d?]Xo- 
votl djtocpaCve^d-aL, rr)v i6or?]Ta tov itQog tl tco6ov 
6tol%£lov JtdvTCog eivat. TtaQeiteraL de t?) TOLavr?] 3 

i5 ftecoQCa e^\LOv6oTaTov tl d-ecoQ?]\ia xal %Qr]6L\icoTarov 
eig Te rr)v IHarcovLX?)v ?\)v%oyovCav xal eig rdJicQ- 
[lOVLxd dLa6Ti]{iaTa Ttdvra' xelevo\ied-a yaQ exel 
Ttvxvcog koyov %cxqlv dito6TT]6aL ecpe£r)g dvo r)\ito- 
XCovg Xoyovg* r) TQelg r) re66aQag ?} Ttevre r) eit* 

20 ccTtsiQOv r) dvo ertLTQCTOvg r) ejtLTeTaQTOvg r) e%oy- 
doovg r) oiovg drjitote £TtL\ioQCovg xal xafi-' £xa6rov 
avTcov r) TQelg rj Te66ciQag r) TtevTe r) \ie%QLg o6cov 
TLg TtQogTa66et. evloyov de £6tl, \ir) idLcorLXCog xal 4 
dv£TtL6TY]\)b6vcog , £6tl de orf 7ud 9 dtr]\iaQTr]\ievcog ro 

25 tolovtov Ttoistv , aAA' evre%vcog Te xal dTtraC6rcog 
xal rd%L6ra ecpodco rotavr?]. 

1. xbv 8s Isicp&svTcc S — 3. Ssvtsqcov om. H — 5. 
goi om. G — 7. ccn] ht S — 8. clcpskrjGL ctnb rcov av- 
xcov oqcov P — 11. av] ov S — 14. nccvTog H ~ stvcci 
om. S — 15. smiovGcoTCCTOv P ts Y.ccl yXcccpvQCOTOCTOv add. H 
sv{xovg6t. S nt ait Nicomackus svvoiocpccxov &sc6q. IJoetli. 

— XQTiGifisvsi Sotericli. — 16. ipv%coyoviuv PS, cf. Plat. Tim. 

— 22. ogov P — 22. 23. oocov ccv ng UQOgTccGGoi cov ccv 
tig TCQogTocGGi] S ccv ogcov ng sniTcc'6,^ H — 26. scp' odco P 



76 NIKOMAXOT TEPA2HN0T 

III y. r 'A7tag 7toXXa7tXa6Log xo6ovxcov eTtLiJLOQCcov 

r)yr\6exaL Xoycov dvxLTtaQCOvv^icov avxco , 07to6xog dv 
avxog cov xvy%dv\\ d%6 txovddog , ovxe de TtXeLOvcov 

2 ovxe eXaxxovcov ovde^ita {ir)%avf]. di7tla6ioi pev ovv 
rj^itoXCovg cpv6ov6Lv, 6 Ttocoxog eva, 6 devxeoog dvo, 5 
6 xoCxog XQelg, 6 xexaQXog xe66aQag, 6 TteixTtxog 
Ttevxe, 6 exxog e% xal ovxe TtXeCovag ovxe eXdxxo- 
vag, aXX' e% dvdyxrjg 7ta6r\g, oxav xrjv 6v(i[iexQ0v 
7to6oxr\xa a7toXd^co6LV oi yevvrfoevxeg eTtLfiOQiOL i6a- 
ql&iiol yevopevoL xolg yevvrJ6a6L 7toXXa7tXa6CoLg y xoxe 10 
dr) ex XLvog daL^iovCag ^rj^avrjg evQC6xexaL 6 itdvxag 
TteQaCvcov aQL&ijLog dve7tCdexxog cov <pv6et exeCvov 

XOV [IOqCoV, Xa& TtQOeXOTtXOV OL eTtL^LOQLOL' C/7t6 

de xcov XQL7tla6Ccov ol ItiCxqlxol ndvxeg 7tQOx6\^ov6L p 
xal avxol lodQL&yLOL xolg yevvco6LV ol yevvcoixevoL 41 
xal 7teQaLOV[ievoC ye [lexd xr)v avxaQxeLav xrjg TtQO- i6 
xojtrjg eCg aQL&iiovg [ir) eTttdexxLXOvg xqCxov' xal eitt- 
xexaQXOL de xaxd xavxov ex xexQanXa6Ccov eTtixoQv- 
cpco6LV Xanfidvovxeg aQL&tiov [texd ^xrjv avxccQXf] 

3 7tQo(la6LV xexaQxov [ir) eTtLdexxLxov. olov 6L7tXa6Ccov 20 
^iev vTtodeCyixaxog %aQLv L6aQC%-^ovg yevvcovxcov 
rj^iLoXCovg 6 [iev dvco 6xC%og e6xaL 7toXXa7tXa6Ccov 6 
TtQcoxog 



III. Io. Phil. rec. I, ly — 1£; rec. II, i& — is. — Iambl 
p. 72. 73. — BoSth. II. 2. 



III. Ms&odog, bncog 8st sx taiv nollanlaa icov 
tovg snitiOQLOvg svql6y.slv P — 2. dvtLnaQwvvixovv- 
tcov H — onoaog H — 3. tvy%dvsi P -01 C — 1.6 
s-At. sij, om. H — 9. sm^LOQiOi om. PC — 12. nsQaiaiv PC 
— 14. TtQOXontovoi H — 15. yivotisvoi, om. ol C — 16. fist 
avtrjv avtdoxr} avtrjg uqok. P — 17. aQi&fibv <SH — sm- 
8sytiy.cc G dsv.tLY.bv H tqltov dvtm8sy.Ti-A.6v S — 18. ns- 

QLHOQVCftOGLV H — 20. 8SKT.LY.OV- H 



API0MHTIKH EI2Ar^rH. 



77 



a, /3, o% >?, tg, A/3, |# ' 
ind de 7tQcoz6g eGzlv 6 /5 ftera r?}i/ yLOvdda, evog 
xcctccq%sl ovtog t)\iloXCov {tovov rov y, ogug fjpfaovg 
ijudextixdg ovx &'6tlv , Xva xal dXXog avTov yevrjTai 

5 fiyLiofaog ' 6 TtQGJTog aoa diTtkaGuog £i/6g [iovov yev- 
vYjTixog eOTiv v\\lioXCov , 6 df oWrsoog 6 $ dvetv 
yevvr\TLXog y\\iloXCcov , avTOv \iev yao 6 g, rov #£ g 
6 #, rou $£ # ovz e6Ttv aXXog, rj\iL6v yao ovx e%eL' 
6 de 7] TQLtog cov dL7tXa6Log tqlcov t)\iloXCcov e6TaL 

10 jr«rr;o, evog fiev rov t/3 TtQog avTov , heQOv de roi; 
n; jroog rov t/3, tqCtov de tov x£ itQog tov lyj, TeTaQ- 
rov de ovxeTL 6lo. ro xa&oXLXov, 6 yaQ x£ y[\jll6v 
ovxeTi i7tLde%eTaL' 6 de tg rfWorog cov dL7tXa6Log 
Te66c/Qcov 7jyrj6eTaL y)\iloXCcov^ roy Te x6 , roiJ Ag, 

15 rou vtf ^at to£ jra TeXevraCov, lvcc tWotO;itOf. dvdy- 
xaCcog co6l Tolg yevvY\6a6LV, 6 yaQ Tta ovxeTL ij\iL6v 
cpv6eL i7tide%eTaL' xal tovto \ie%QLg dneCQOv tcqolcov 
ccvdXoyov evQY\6ecg. olov VTtodeC^ecog evexa ye- 
yQacp&co ovTcog 6L7tXa6Cov dLayQa\i\ia' 



20 



/JLnXaaCcov 8iuyQU{i(iu' 
hktcc zo nXuTog di7tXa.Gi.ov. 


a (i | 6 | ij 


>s 1 


V 1 & 


^ 1 y 1 5 1 4 


! *<> ! 


M 1 ''5 


^ . | & | «i 


U 


ofi ! £ud 




\ *$ 1 
na I 


?'/ 1 oig 
Q;(i | rxd 
o,»y 1 vng j 


^ | v ' x & ! 



o 

'8-1 



1. |^j qxt} add. C — 3. olq^bl S — tiovov] Xoyov S, 
om. C — 6g H — 4. vit ccvtov S un avtov H — 5. 
ytviqTiKoq G — 6. eotul C — Svsiv G — 7. tjuloXColv S 

10. 8UVTOV *S 12. 6 yUQ] 6 (ISV G 13. £7tLd8%£TUL] 

Zvu y.u\ uXXoq vn uvtov ysvrjTUL t]ul6Xlos add. S — 16. 
tc5 ysvvrjauvTL ig C — 16. 17. qpva, rju. ovx. imd. H — 

18. vno8ELy(iUToq yuQiv CS — svsksv H — iyysyQuqp&co S 

19. dLnXuoCoiv H '— 20. schema om. PJf; CS sic inscri- 



78 NIKOMAXOT rEPArHNOT 

IV d. TQtitlacjtov ds vTtodstyixa TtaQaitliqatov dta- 

yQacpstv dst' 

TQiTtkciGiozv 8 LuyQUUuu' t 

v.uxd ulv xo nXdxog xQtnXuGLOv. 




mc tfjfy ,£td 

qy.i) yofi 

sv cp xixxd zavzd oi^ojis^a rov iisv tiqcqtov xov y 
svog [iovov STttTQttov rjyov[isvov Xoyov tov d TtQog 
avTOV, ogrtg aito^Xstst sv&vg stsqov ysvsdtv 6[iotov ' 
tqCtov yaQ ovx sittds%srat 6 #, ovz c<Qa ovd' sitt- 15 
TQtTOV s%st' cJsvTSQOg 8s TQtitXdcjtog SdTtV 6 #, did 

TOVTO dvStV ilOVOJV STttTQtTOV OCCCTCiQ^St XoyOJV TOl) 

xs t(3 TtQog avTOV xat roi) tg TtQog tov t$' o ^ tg 
dvanoitrst rrjv TtQofiacjtv Xotitov^ tqCtov yaQ ovk 

SOTtV SlttdsKTtKOg, dtOTtSQ Ovds STttTQtTOV TtVCC S%St 20 

sv savTcj. s^rjg ds TSTaxrat TQtitXdatog 6 x£ sv 

TQtTft CiTtO {lOVadog %cSqCC TQtTtXdCjtGJV 7tQO%03QOVVTCOV 



IV. Io. Phil. rec. I, i£, irj. — Iambl. p. 72. 73. — 
Boeth. II. 2. 



bunt: dmluGioi kuxu nXdxog — ^llloXlol zcov sndvco ot xdxco — 
tQLTtXdciOL ol dLaycoviOL ndvxsg; idem codd. seriem perpen- 
dicularem oetauam addunt: 0x77, q*i/5, cni], vXfi, %lly], C^op\ 
uvvr\, fiQitt;. 

IV. 1. XQLTtXaGLcav H — nuQudsLyuu om. H — 3 — 11. 
Diagramma om. PH; codd. CS, in quibus series septima 
i/wfr... dhz abest, basce praebent inscriptiones: xqluXugiol 
naxu nXdzog — snlxQLXOL xcov sndvco ol kuxco — xsxQunXu- 

GLOL Ot ClLUycOVLOL 12. XUVXOV P 14. unO%XsiGSL P — 

16. s%st H ~ 17. 18. xovxsgxl tfi P — 19. xqixov G — 
20. XLva om. H — 20. 21. s%sl suvxov C — s£sl uvxov H 
— 22. xQinXucicog CH 



APIOMHTIKH EIZAr&rH. 79 

or, y, fr, *£' 

j, (Wi rouro tqlcov fxovcov xcctc^q^sl xccl ccvTog stiltqC- 

42 tcov Xoycov, txXslovcov 6s ovdaixcog ' ccvtov usv yccQ 

TtQCOTog 6 Ag, tovtov ds dsvTSQog 6 {ir}, TQLTog ds 

5 TOVTOV 6 £#, Sg OVXSTL TQLTOV [ISQOg S%SL, §LO Ov8" 
ETtLTQLTOV SsXTLXOg, XCil 6 TSTCCQTOg TS66CCQC0V r)yS~ 

ucov s6tl Xoycov xal 6 7ts\L7tTog 8i]Xovotl tisvts. ro 3 
ds vTtodsiyna rotoi)rov ' xal STtl tcov Xolxcov 6s 7to- 
XvitkccOLCOv o ccvTog tcov diccyQccfipdrcov sotco 6ol 
io TQOTtog TtaQaTrjQOvvTL , otl xal svTccvfta r) cpvtiLg, 
cogitSQ xal sv TOtg TtQOTsyyoXoyrfosL^LV svqo^lsv^ 
TtQoysvsaTSQOvg f][iLV TtaQS\LcpaCvsL dcjtlaaCovg jiev 

TQL7tXcc6CcOV. TQL7tXa6CoVg ds TSTQCC7tXd6CcOV , TOVTOVg 

6s TtsvTanlcccjCow , xal dsl ovTcog {is%ql TtavTog' ol 
io \khv yccQ sitl TtXdxog 6tC%ol ol dvcoTaTco^ sdv co6l 8l- 
7iXcc6lol, opoCcog r s%ov0L Tovg vit ccvTOvg 7taQaXXr ( Xovg 
xsiusvovg, Tovg ds vitoTsCvovTag dcaycovCovg tov 
avTOV ysvovg ro 6ws%sg xccl ^ovddc ijlsl£ov sidog, 

O S6TL TQL7tXccaC0Vg , SV TtCCQCcXXr^XcO S%STCi6SL dsCO- 
80 QOVUSVOVg ' SL S' OL STtl TtXciTOg SLSV TQL7tXa6L0L y 

TtdvTcog ol diaycovLOL sdovxai tstqchiXccGlol, sl ds 

SXSLVOL T8TQCC7tXd(lLOL, STjftvg OVTOl 7tSVTCi7tXcc6LOL. 

xccl tovto us%Qig ccsC. 



6. dsY,XL*6g] sgxl atld. H — r]uc6v G\ — 7. sgxul SH 
— 10. nagaxrjgovvxi] gol add. S — t 11. cognsg hccl] v.a%d- 

7tSQ S SVgLGY.OUSV H 15. CtVCQXCiXOL S — 16. TtUQCiX- 

XrjXcog P — 18. fiovddog P, om. C — 19. sv nag. . . . 
ftscoQovu. 0111. S — 20. slsv] slgC H — 23. Diagrammata, 
quae supra adposuit, hie repetit codex G sic iuscripta: 1. 
XQinXcxGLOL ncivxsg ot diaycoviOL — r)ui6XiOL xoav avco ol 
Ycixco. 2. xsxganXciGiOL navxsg ol dLaycovioi — snlxgixoL xcbv 
avco ol Y.axco. 



80 NIKOMAXOT TEPA2HN0T 

V e. AotTtov SeC^ 6acpr]vC6avtag tdg tcov Xoycov 

6vvd-e6etg^ tCvoov eteQcov aTtodottxaC si6t, {ista/irjvat 

2 £7tl ta trjg stgaycoyr]g dnoXovfta. oi TtQCOtoi toivvv 
tov sth^loqCov dvo Xoyoi 6vXXr]cp&svtsg stg to avto 
ysvvco6t tov tov 7toXXa7tXa6Cov 7tQcotov Xoyov, tovt- 5 
s6tt roV di7tla6iov' Ttag ya.Q 8i7tXa6tog 6v6trj^ia 
e6tai r)[iLoXCov xal eititQCtov xai Ttag r)^iokiog xal 
eTtCtQitog 6vvted-evteg aTtodotwol evog 8i7tXa6Cov 
Ttdvtcog e6ovtai' olov S7ts\ 6 y r)\noXLog tov /3, 6 de 

d ertCtQitog tov y , e6tai tov /3 6 $ 8t7tXa6tog 6vv- 10 
%etog cov i% r)inoXCov xal STtttQCtov ' TtdXtv STtst 6 £ 
dt7tla6t6g s6tt tov y, evQr]6o\iev dvd [ie6ov avtcov 
aQifriiov tiva tetay^ievov , og «| dvdyxrjg TtQog pev 
tov eteQOv tov eTtCtQitov 6co£et Xoyov, TtQog de tov 
XotTtov tov r)iii6Xtov ' 6 yovv d dvd [is6ov xeC[ievog 15 
tov g xal tov y TtQog {isv tov y a7todCdco6t Xoyov 

3 eTtCtQitov, TtQog de tov g tov rj^itoXtov. oQ&cog aQa 
ele%&Y}, dtaXvo^isvov [iev tov dt7tXa6tov slg r)\ii6Xtov 
%a\ STtCtQitov dtalve6d-ca, 6vvn&eiievcov ds Ttdvtcog 19 
r]{itoXCov na\ STtitQCtov [tovov 6vvC6ta6&ai OtTtXd- p 
6tov %a\ td tov stililoqCov dvo 7tQc6ti6ta sl'dr] 6vv- 43 
ts^svta TtoiYjtiKa slvai tov tcov 7toXXa7tXa6Ccov 

4 7tQCOtC6tov sldovg. TtdXtv ds s% dXlrjg aQ%rjg to 
ysvvrjd-sv tovto tov 7toXXa7tXa6Cov 7tQc6tt6tov eldog 
[ietd tov TtQcotov tcov e7tt[iOQCcov eidovg aTtodotiXov 25 



V. Io. Phil. rec. I, l&, ■*; rec. II, tS, i£. — Boeth. II. 3. 



V. 1. 2. Aontbv 6r) ... usTafirjvai dsov C — 1. ngo 
6a(pr}VL6avzag PCSH — twv dvaloyitbv loycov G — 5. o 
S6ZL SH — 8. 6vvzlQ-£vzs<s G — 9. ndvT,o<s G navrog P 
— 12. sva tLvd SH — 14. 6C06SL S — 19. 6vvtsd-si(is- 

VOV P 6VVTL&SUSV0V S — 21. Svo Om. C 6VVTL- 

ftsvTa G 



APIOMHTIKH EISAT&rH. 81 

yCvbtai tov 6[ioy£vovg avtcov 6vv£%ovg sldovg, tovt- 
£6zi roi) devteoov TtokkaTtkaoCov , OTtsg s6tl tQL- 
7tka6Cov' ix yaQ itavtog dntla6Cov xal f]iiLokCov 
6vvt£%ivtcov tQi7tla6L0v £% dvdyxrjg cpvstaL' olov 
5 £7t£L tov g di7tkcc6Log 6 t/3, avtov 6h tovtov fftiLO- 
?uog 6 lt}, £v&vg xal tQL7tla6Log 6 lt] tov g' xal 

£t£QCO tQOTtCO itXV uf] tOV l{3 ftikcO ^L£60V 7tOL£LV, 

dkkd pdkkov tov tov g fjULofoov tov #, ro avto {iol 
dztaQakkaxtov xal 6vucpcovov 6vu^r]6£tat' tov yaQ 

10 & 6 LY] dl7tla6L0g COV tOV tQL7tka6LOV koyOV 6C06£L 

TtQog tov g' i% 7]ULokCov aQa xal 6t7tka6Cov tiqco- 
tcov £L6cov imuoQCov xal 7tokkaitka6Cov 6wC6tatat 
ULyivtcop to d£vt£Qov £idog rot) 7tokka7tka6Cov ro 
tQL7tka6Lov xal £Lg avtcc d K £ Ttdvtcog dvakv£taL. idov 5 

15 yccQ 6 g rov /3 tQL7tka6Log cov ei%£i {ii6ov tov y, og 
6vo koyovg TtaQad £C$£L, tov [i£v fj{iLokLOv TtQog tov 
/3, 7tQog iavtov dh dL7tka6L0v tov tov g' idv dl 
xal 6 tQi7tkd.6Log ovtog 0£vt£QOv eidog cov tov Ttok- 
ka.7tka6Cov 6vvt£%-\] imtQCtcp d^vtiQcp £i'd£L ovtL 

20 tov iTTLuoQCov yivoLt dv i% d^LCpOtiQCOV to 6vv£%£g 
tov 7tokka7tka6Cov £idog, tovt£6tL ro t£t Qa7tka6L0v^ 
o xal dvayxaCcog s£g d^icpot£Qa dvakv%f]6£taL xatd 
tfjv avtf]v tolg 7tQod£d7]kco^i£voLg cpv6LV' to 61 te- 
tQaitka6L0v TtQogkaflov ro inLtitaQtov 7tOL7]tix6v 

25 £6taL tov 7t£vta7tka6Cov xal Ttdhv ix£lvo 6vv tco 



1. ccvzco C — 2. o sari CS — 4. avvri%svrcov G — dvcc- 
cpvsTcti H yCvsxcu S — 7. [isaonotsiv P — 10. aco^sc CH 
— 11. 12. nocorov sidovg iniiiOQiov v.ccl Ttgcorov sidovg no- 
Xv7tXaaiov S — 13. noXvnX. S — 15. rov (3] rov dsvrsgov 
G — 20. ysvoivx G — 21. rsToctn}.ctaiov\ rQinlctaiog ds 6 ? 
rov $ [snsl yccg 6 ? rov |3 tqmX. H] snCrgtTog [ds H] 6 rj 
rov ?, 6 r\ ccqcc tov @ TSTQanldaiog add. SH — 24. nQog- 
Xaficov P 

NICOM. ED. HOCHE. Q 



82 NIKOMAXOT TEPAZHNOT 

87lL7t8{l7tT(p XOV £%U7t Xtt6 COV , Xttl ZOVXO \t>i%QL TtttVXOg, 
LVCC £VXCCXXOL OL 8% CCQ%rj$ 7toXlcC7tXtt6L0L {ISXCi £VXCC~ 
XXCOV XCOV £% CiQXfjS eitL^OQLCOV CCTtoSoXLXol £VQL6XCQV~ 
XCCl XCOV £7tl XO [l£LCl0V 6VV£%C0V 7toXXcC7tXcc6LCOV' 

dL7tlu6Log [i£v yciQ n£&' rjiitoXCov XQL7tkci6LOXiqXOg 5 

7lOLT(tLx6g^ XQL7tlu6L0g $S \l£X* £7TLXQLXOV X£XQU7tlu~ 
6L0X7]X0g, X£XQCC7tlci6L0g d£ \l£x' t7tLX£XUQXOV 7t£VXCC~ 

7tXu6LOxr\xog xcd, £cog 7tQO%coQ£lv ftikHg, ovdhv p 

V7t£VUVXLOV 60L 6V\JL$CCLV0V CfUV£LXCCL. 44 

VI g. Mi%QL \l£V OVV XOvd£ LXUVlOg 7t£QL XOV TtQOg 10 

£X£QOV TtCOg £%OVXOg 7t060V dL£LliyyL£&U 6V{l{l£XQr}- 

6u\i£V0L xax' ixkoyrjv xu 7tQogr\xovxa xccl £V7t£QCkr\- 
Ttxcc trj xcov ccqxl Uguyoyuivcov £%£L' xcc yccQ £Cg xov 
xoTtov xovxov vTtoloLTtcc 7tQog7tXr]Qco&r]6£xciL dcah- 

TtOVXCOV TtttlLV TjlJLCOV Xttl 7tQOX£%VOloyr]6ttVXCOV £X£Qtt 15 

XLva TtQOVQyLccLxiQttv xrjv 6xiijjLv iyovxcc ix xcov 
6viip£f5r}x6xcov xcp xcc& ccvxo 7to6 cp xccl (irj xco TtQog 
£X£q6v Ttcog iyovxL, ccCel yccQ Sl' alXr\lcov cpcXtf Ttcog 
dLttQd-Q0v6d-ttL xccl 6acpr]vC^£6d-ttL xcc iv xolg {ia&rj- 

\ltt6L d-^COQrJllCCXCC ' tt $£ %Qr) 7tQ0£7tL6X07trJ6CCL Xttl 20 
TtQO&eCiGCi&frcU, £6XL 7t£QL X£ y Qtt\l\lLXCOV UQL&ilCQV Xttl 



VI. Io. Phil. rec. I, «a — nrj; ree. II, irj — x«. — Iambl. 
p. 80-82. — Boeth. II. 4. 



3. svql6hovtcu P — 8. ecog ccv . . ftsXrjs SH' — 9. 60l] 
uol C, om. P — 6vu@c(tvctt, P — cpavrj6Exca H — codices 
Nicomachi uerba schematibus inlustrant huncce in raodum 
compositis : 

P y 9 

jqULoL/^huTQ^ ^^^ 
dL7llci6. 

VI. 10. ovv om. C — 14. TtQognXr^oco^rjeovTaL C — 

20. ftecooovuFvci H — 20. 21. S7il6%otc. hul d~£tt6a6&uL S — 

21. yQuuuL////>td>v G 



APIOMHTIKH El2Ar&rH. 83 

eTttTtedcov xal 6reQecov , xvfltxcov re xcct 6tpatQtxc6v, 
xcd laoTtXevQcov xal 6xaXr\vc6v , TtXtvd-tdcov re xcd 
doxtdcov xcd 6cpr\vt6xcov xal rcov olloCcov, a dfj tdCcog 
{iev ev r\] yecoLierQtxr) TtaQCcdCcJorat eigaycoyfj tov 
5 nr]XCxov olxeioreoa ovtcc, 67teQLtccrtxc6reQOv de Jtqog- 
TtccQccXaLt^dvercct ev rr\ aot&inqrtxrj cogdv Ltr]TQt xai 
do%eyovcoreQa exeCvr\g' LLeLLvrJLie&cc yccQ, ort tcqo 
fiQa%e'og rotavrt] rjLttv ecpdvr] 6vvavatQ0v6cc Ltev rd.g 
aXXag e7tt6rr\LLag eavry^ ov 6vvavcctQ0VLtevr] de 
10 exeCvatg , xal eLtTtaXtv 6vve7ttcpeQ0Ltevr] Ltev exeCvatg 
dvayxcdcog, ov 6vv?7ttcpeQ0v6a 8e avrdg eavrr). 

IlQoreQOv de eTttyvco6reov, ort exa6rov yQaLttia^ 2 
cp 6r]LietovLte%-a «otofyioV, olov ro t, a3 rd dexcc, ro x, 
cp rd etxo6t, ro ca, cp rcc oxraxo6ta, vollco xcd 6vv- 

15 ^rJLLCcrt dv&QCOTtCvco, 0.1.1? ov cpv6et 6r\LiavTtx6v e6rt 
rov aQt&Ltov, r) de cpv6txr\ xal aLie&odog xcd dtd 
rovro a7tlov6rdri] 6r\LteCco6tg rcov aQt&Ltcov el'r] dv r) 
rcov Liovddcov rcov ev exa6rco ov6cov 7tccQCiXXr]Xog 
exfre6tg ' oiov tttdg llIv Ltovddog yQcccpr) dtd rov 

•20 evog dXcpa 6r]Ltetov e6rca toi) evog , dvetv de llovcc- 
dcov TtaqaXXiqXcov ^ TOurfVrt dvetv aXcpa ex&e6tg 6r]- 
Ltetov e6rca rrjg dvddog^ tqccov de eit ev&etag aXXrj- 
Xotg xetLtevcov rqtddog e6tat %aQaxtr\Q xcd re66ccQcov 
e% evftv rer ayLievcov tetqd.Sog xal Ttevre Ttevrddog 

25 xcct det ovrcog ' dtd ydq rrjg rotavrrjg yqcccprjg xccl 
6r\Ltdv6ecog r) rcov cpQa6&r\60Ltevcov ejttTtedcov re xal 



1. -xvPav H — ts\ cprjiiL add. C — 2. gy.ccXlvcov P cf. 
Eucl. I, oq. x? — 3. acpiqviKOiv GP 6cp. >tal GcprjKL- 
6K(ov H — _ 7. ciQ%aLyov(ox£Qa S — 11. dvayaaicog om. 
C — 14. oo xci efx. om. P — 17. bltj dv~\ oQ&ag add. 
SH ^ — 20. uXcpci] 8x&s6Lg add. C — 22. ccUrjloLg} nao- 
alXr]XoLv S 



84 NIKOMAXOT TEPASHNOT 

6t£Q8cov 0%r]LiaroyQacpCa rQavco&rjvaL dvvair' dv 
Liovcog xal Oacpr]viod-i]vaL, olov 
iiovdg iihv a, 
dvdg dh aa, 

tQidg de aaa, 5 

rsrQag dl aaaa, P 

7tsvrdg ds aaaaa, 45 

3 xal stg TtXuova del dvaXoycog. iorac ovv r) iihv lio- 
vdg Or]Li£Cov roTtov £7t£%ov6a xal rQoitov aQ%r) liIv 
bia6rr\\idrcov xal aQL&iicov, ovitco 0£ dia6rr]iia ovdh 10 
dQL&Liog, cog to Or]LL£tov aQ%r) Li£v yQaLiLirjg xal dca- 
orr]Liarog, ovitco d s £ yQaLiLir) ovds dLccOrr]Lia' dciiXu 
ovr£ 6r]fi£Ccp Or]LL£tov Ovvrs&lv itknov rt 7tOL£t, 
dbidorarov yaQ ddLaOrdrcp Ovvr&lv dLaOrr]Lia ov% 

£%£L, COg7t£Q £L Tfcg TO Ovd\v Ovd£VL 6VVr£&£V 6X£~ 15 

TTTonro, ovdhv yaQ tcol£l' xard ravrd yaQ icpaCv£ro 
xal iiti rr]g ioorr]rog r]Litv iv ratg 6%£6£6l, Oco&rac 
{liv yaQ dvaXoyCa, cog 6 TtQcorog 7tQog rov d£vr£QOv, 
ovtcog 6 6£vr£Qog TtQog rov r^Crov^ ov \ir)v dLaOrr]Lia 
y£vvaraC rc rotg dxQOLg TtQog aXXrjXovg, Sg7t£Q ini 20 
rcov aXXcov rcov %coQLg Co6rr]rog Oiio^cov TtaOcov' 
t6i/ avrov dr) rQOTtov xal ciovdg ix itavrog ccovr] rov 
aQL&Liov iavrrjv TtoXXaTtXaOLaOaOa ovdlv TtXiov iav- 
rr\g y£vva ' ddcdorarog aQa r\ iiovdg xal aQ%o£L- 
drjg, 7tQcorov dh dLaOrr]Lia £VQCox£raL xal cpaCv£raL 25 



8. %al sl nXsiova sl'rj dvaX. C v.al sl sni nXsov sir\ 
dvaX. S Y.a.1 sni nXsiov dsi dv. H — ovv] rjiiiv arld. H 
— 9. zonov . . . zgonov] Xoyov . . . zonov S — 10. dcaaxrj- 
paxa ovds P — 13. 14. nXsiov . . . avvxs&sv om. P — 14. 
ddiaoxdxco] r)xoi dusgsg dusgsi add. S — 15. ax£i/>otTO P 
snLOKsnzoLxo H — 16. ■aaxd ravra yao] xat x. y. Ast xd 
avxd ds H — 19. ovxcog H sol. — 21. dlkcov zcov om. 
H — 23. nolvnlaGidaaaa S nXsovdaaaa C 



API0MHTIKH EISAr^rH. 85 

iv dvddc, tix iv rot«6% sha iv tstqccSl xal s%f t g iv 
rotg dxoXov&OLg' dtdatrjiia ydo iat/ dvstv oqcov to 
\ista%v dscoQov\isvov. TCQCJtov ds dicccrrjfia yQa\i\ir] 4 
XsystaL, yQa\i\irj yaQ ititi to icp' sv dca6tatov' dvo 
5 ds 0La6tr\\iata iitLcpdvsLcc , iiticpdvsia yccQ iatt to 
di%rj dcaatcctov' tQia ds dLa6tr\\iata atSQSov , 6ts- 
qsov yaQ i<5ti to tQL%r\ duc6tatov xal ovx scstiv 
ovdcc\icog iitivostv 6tsQsov , o TtXsovcov tstsv%s dia- 
6tr\\idtcov rj tQicov, (idd-ovg, itXdtovg^ \ir\xovg ' tov- 

10 tocg yaQ at Xsy6\isvaL itsol Ttav 6co\icc vitc'iQ%SLv s% 
7tSQL6tdasLg OQLC^ovtccL^ xa& dg a[ xcctd toitov xlvtt\- 
GsLg dLazQLVOvtaL, itQoGco, 07tL6c0j dvco^ xdtco^ ds^td^ 
ccQL6tsQcc' sxcc6tcp yaQ $La6tr\\iatL dvo i£ dvdyxrjg 
7tsQL6td6stg TtccQSTtovtccL aXXrjXaLg dvtCd-stOL , svl \isv 

15 al dvco xccl xdtco, stSQcp ds al 7tQo6co xal 07ti6co, tcp 
tQLtcp ds cd inl ds&d xal ccQL6tSQa. xal 6v\ij3aCvsL 5 
Ttcog ovtcog dva6tQScpSLV tov Xoyov' sl ti yaQ 6ts- 
qsov i6tLv, ixstvo tdg tQstg §La6tcc6sLg Ttdvtcog s%sl, 
\cr\xog , ficc&og, Ttldtog xccl s\i7tccXtv , sl tL s%sl tdg 

20 tQStg dLC(6tcc6SLg, ixstvo Ttdvtcog 6tSQs6v s'6tLv, dXXo 
d' ovdsv. ovx aQcc to dvo \iovov s%ov 6ia6ta6SLg 6 
s6tccl 6TSQS0V, aXX' iitupdvsLcc^ avtr\ yccQ dLcc6tr\\id- 
tcov iTtLdsxTLxr) dvstv i6TL \iovcov' xccl i% avtr\g 

p dvVCiTOV O^LOLOTQOTtCOg aVTL6TQSCpSLV tOV XoyOV , &1tl- 

46 (pdvsLa Ts yaQ OQ&cojg to dc%rj Slcc6tcct6v xccl ticcXlv 



1. sv dvudi, slx' om.P — 2. dvo H — 3. 6s] yuQ GP 
— 4 — 6. dvo . . . diaozuxbv om. C — 7. 8. Aa\ ovxi soxiv 
ovduuov S — 8. axsgsov om. H — 10. ut Isy.] htlayops- 
vui P — 15. stsqco] sxuxsqo) P — 16. ul om. GP — 
Ss£,iu y.uc uqloxsqu P — 17. uvxiaxQ. H iii mr^. — 19. 
urjY.., fiu&., nl. om. H — 21. uovov\ uovug H — 22. 
saxtv H — 23. dsHxi%ri H — 24. oybOioxQonog G ouoicog S 
dvaaxQ. H (in mrg. uvxlcxq.) — 25. OQ&oog] vyicog CH — 
sutiuXlv S 



86 NIKOMAXOT TEPASHNOT 

7 xo dL%rj dicctitaxov Ttdvtcog eTtLCpdveLa s6tat. evl aga 
8ia(5ti]iiatL rjkattootaL eTtLcpdveLa 6teQeov, evl de xal 
yQa^ijLr) eTtLCpaveCag ov6a to ecp' ev §La6tatov xal 
evog piovov tetevyvla 0Lw.6tr\\iatog , KeLTtoijLevr] 6e 
6tegeov dv6l dta6tr]ijLa6L' tavtrjg d^ avtrjg leCitetaL 5 
evl $La6ti]\LatL to 6t][ietov' $La tovto 7tQoele%d'}] 
elvaL aOLa6tatov 6teQeov \xev tQL6l 6La6tr]\ia6i Iel- 
Ttopevov, eiticpaveCag de dv6C, yQaij,{irjg de evC. 
VII J. "E6tvv ovv 6r]{ietov do%r) dLa6tr]\iatog, ov dtd- 

6rr]{ia de, to 8' avto xal aQ%r) yQc^fjLixrjg^ ov yQaijLijir) io 
de' xal yQaix[ir) d.Q%r) eTtLcpaveCag^ ovx eTtLCpdveia de\ 
xal aQ%r) tov di%rj dLa6tatov, ov 8l%y] de 8La6tatov. 

2 xal elxotcog v eittcpd.veLa aQ%r) (jLev 6c6\iatog , ov 
6co[ia de\ xai r) avtr) aQ%r) ixev tov tQL%rj dLa6tatov^ 

3 ov tQL%rj de 8ta6tatov. ovtcog 8r) xal ev totg aQL&- io 
potg i] \iev {tovdg aQ%r) Ttavtug aQL&jjLOV ecp ev 8^d- 
6tr]{ia xatd [iovdda 7tQO^L^at,o\ievov^ 6 8e yQa\i\iLXog 
aQL&{iog aQ%r) eitLTtedov aQL&yLOv ecp' eteQOv 8id- 
6tr]\ia eitL7te8cog 7tkatvvo[ievov, 6 8e eTtCjtedog aQL&- 
[idg aQ%r) 6teQeov aQL&ixov em tQCtov 8La6tr]\ia 20 
TtQog td e% aQ%r)g (Id&og tt 7tQogxtcoiu,evov ' olov xa& 
v7todtaCQe6Lv yQaijL\iLXol \iev el6Lv cIql&ixoI d.Ttlcog 
ditavteg ol dito 8vd8og aQ%6[ievoL xal xatd ixovd8og 
7tQ6gd-e6LV ejtl ev xal to avto 7tQO%coQOvvteg §La- 
6tr]iia , e7tC7tedoL 8e 01, dno tQtddog aQ%6\ievoL aQ%L- 25 

VII. Io. Phil. rec. I, v.ft, l; rec. II, x0, y.y. — Iambl. 
$>. 80 — 82. — Io. Pedias. in Iahnii nou. ann.XCIL p. 371. 372. 
— Boeth. II. 5. 6. 

1. eotaL om. PH — 2. sXaxxovtca H — 5. avtf}$~\ 
trjg yganfirjg H — 7. Xsinofisvov G Xsi.7iov[i8vov P 

VII. 11. xat yg.~\ ygaufir) om. G, ri ds yg. SH — 14. 
77 avtb G — 17. 7tQo(iiPago[ievr] H — 20. smtQLtov P — 
21. Tigog] TtaQa H — fid&r] GP 



API0MHTIKH EISArOTH. 87 

xcotdtr\g Qi&jg xal dtd to3v §£rjg 6vve%cov aQid^^oov 
TtQOtovteg, Xa\a$dvovteg xal tr]v e%covv\iiav xatd 
tr]v avtrjv td%tv' itQCOtt6tot ydo tQiycavoi, elta \net 
avtovg tetodycovoi, elta \iet' avtovg Ttevtdycovot, 

5 elta eitt tovtoig e%dycovot xal mtdycovoi xa\ eit 
aitetQOv' TtQogayoQevovtat de\ cog ecpa\tev, a%o tcov 
dito tQtddog ecpe^i]g xeiiievcov aQi&yicov. aQytxcota- 4 
tov aQa 6yrj\ia eitiiteOcov xal 6tot%etco8 e6tatov to 
tQtycovov evQtCxetat' xal yd.Q ev totg yQa\i\ttxoig 

io ejttTtedotg edv aito tcov ycovtcov eiti td \ie6a ev&eiat 
dy&(b~6t, kvd-rjaetca exa6tov ev&vyQau\iov 6%rjua 
Ttdvtcog eig tQtycova toGavta, o6atiteQ clv avtov 
tvyydvcoatv ai TtlevQai , avto de to tQiycovov to 
avto tolg dklotg Tta&ov eig eteQov tt ov uetajte6ei- 

15 tat, dl)i eig eavto' 6tot%etov aQa xal ev exeivotg to 

p tQiycovov' eig avto yaQ td akla ndvta dvakvetat 

47 dvayxaicog , avto de ovx eig eteQOv' ex tovtov dv 

xal Gvtitairj td kotitd^ avto de e% ovdevog' 6tot- 

%eiov aQa tovto toov dllcov, avtov de ovdev. xdv 5 

20 totg aQtd-\irjttxoig de eittiT.edotg tcqoicov 6 Xoyog jre- 
Paico6et ro keyouevov. 

)]. TQiycovog ytev ovv e6ttv aQtd-uog 6 dta?.vo- VIII 



VIII. Io. Phil. rec. I, Xa, 1(1; . rec. II, ytd. - Iambl. 
p. 82. 83. — Theon. 18. 19. 23. — Io. Pedias. 1. 1. — 
Boeth. II. 6. 



3—5. hasce addunt codices figuras: A 



\a a 



uel 



^ 



accaacccxcccc //^ \a a\ \ t < tv | \g „/ 

8. sninsdtov om. H — 9. yag om. G — 9. 10. snl rcov 
yQau.[ir/.cov smnsdcov S cf. Eucl. I, og. x. — 11. s-naarog G 
— \%. rooavru] rco aQL&Lico, onoaa add. S — 14. srsoov 
dUo S — 16. ste o CSH — Xvsrai SH — 17. e/g dllo SH 
VIII. IJsqi rgiycovov HT 



88 NIKOMAXOT TEPAZHXOT 

psvog slg [lovddag xal rrjv xar' STtCnsdov &s6lv rcov 
{ioqCcov lGotcXsvqov 6%r\iiaroyQacpcov sig rQLycovL6iiov, 
ov vTtodsCyixcma 6 

/, g, t, fc£, KCl, TCYj 

xal ol scps^rjg' 6%r\LiaroyQacpCaL yaQ avrcov svraxroL 5 
s6ovrca rQCycovoC rs dcia xai l6o7iXsvqol, xal ro 

TOtOlJrOl/, {lS%QLg OV fiovlSL, 7tQOK07trCOV rQLycovL^o- 

lisvov svQ7]6sLg TtQO Ttdvrcov 6roL%SLad s6rarov rdr- 
rcov ro sx Liovddog yLvoLisvov^ r Cva xal rQCycovog dv- 
vcclisl cpaCvrjrac r) Liovdg , svsQysCa ds TtQcorog 6 y. 10 

2 7tXsvQal 6s 7taQav^,r]d-rJ6ovraL rco 6vvsysl aQL%LLco, 
rou \lsv yaQ dvvdicsL TtQcorov 7tlsvQa [lovdg, rou ds 
svsQysCa TtQcorov tcXsvqcc dvdg, rovrs6rc rov y, rou 
ds svsQysCa dsvrsQOV TtXsvQa rQtdg^ rovrs6rL rov g, 
rov ds r^Crov TtXsvQcc rsrQag xccl rov rsraQrov 15 

3 Ttsvrdg aal rou TtsiiTtrov s\dg xal dsl ovrcog. ysv- 
varcu ds roi? cpv6LX0v aQL&Liov 6roL%r]dov sxrs&svrog 
xal dsl aTt aQ%rjg tgjv 6vvs%cov xard sva 6vvrL&s- 
iLSvcov , xard yaQ sxa6rr\v 6vv&s6lv xal 7tQog6coQsv- 
6lv ol svraxroL rQCycovoc 6vvrsXovvrca' olov sx lisv 20 
to£ cpv6cxov 6rC%ov rovrov 

«> & y? °% £ 5 s 5 £> n-> #> h ia -> i $-> *y> ^ t£ 

T02/ lisv 7tQc6ri6rov Xaficov s%co rov dvvaLiSL TtQcorov 

2. uoqicov] uovclScov CS — LOOTcXsvQcog C — 3. 4. ov 
. . . y] vnodsLyua y S — 5. 6. svzanzoi soovzca] so. xoi- 
avzac SH — 6. 7. zo zoiovzov om. H — 7. tcqo-kotczov C 

— 9. yivousvov] avynsiusvov H — dvvdusi] uovcxSi G 

— 11. ovvs%rj G dico [v7to H\ zov ovvs%ovs doi&uov SH 

8s G 2 

— 12. 7CQcozov G { — 12. 13. zovzo svSQy. G { — 14. ttIsvqcc 
om. H — ZQidg post g GP — 15. zqlzov] zov Sf-aa add. 
CSH — 17. cpvGiY.6v G — 6zi%r\86v PC — 19. snciozov SH 

— 20. svzav.zoi] ovv&szol add. S — 21. zovzov om. CSH — 
22. la . . . ls om. H — is] 6 a, y, g, i } ls, Ka, y.r\, Ag, us, 
vs, £?, orj, *ia, qs. qk add. C — 23. s%cov PH 



API0MHTIKH EISAr^rH. 89 

TQiyavoV) Trjv {lovdda f 1 ] , eha tov 6vv£%r\ avTcp 

£7tL0C0Q£V6ag £%C0 TOV £V£Qy£ia TtQCOTOV TQiycovov , /3 

yaQ xal a 6 y £6tC, xal Ttj y£ 6%rjfjtaToyQacpCa ovTcog 

6vvC6TaTai' £%l \xta (jtovddt dvo (jtovdd^g 7taQaXXr\- 

5 lot v7tOTtd-£VTat xat TQtycovC&Tat 6 y aQtd-Liog [* 2 ] * 

£tTa £%rjg iitl TovTotg 6 y 6vv£%r]g rtQogOcoQW&dg 

zal c^aitlco%-£Cg y£ £tg ytovdda xal 6vvT£%-£tg tov g 

ditodCdco6L 6£vt£qov £V£Qyua TQCycovov xai TtQoght 

6%Yi{LaToyQacp£t [ 3 ] ' xal itdXtv 6 cpv6£t dxoXov&og 6 

d £7tl TOVTOtg 6coQ£v&£tg xal Ltovadt6Tt vTtoyQacpdg 

tov £VTaxTOv {i£Tcl Tovg £tQr\LL£vovg aitodCdcoOt tov 

t nal TQtycovt6TC y£ 6%rj{iaTC%£TaL [ 4 ] * %a\ 6 £ £7t\ 

tovtco, £LTa 6 g, £LTa 6 f xal ol £%rjg dnavT£g^ cogT* 

14 £LiiL£kcog 7ca\ Tag 7tl£VQag £xa6T0v to6ovtcov dvat 

p ytovddcov, 07t66ot7t£Q aQtd-[io\ 6vv£T£^r\6av ix tov 

48 cpv6txov 6tC%ov £Lg rr]v avTov 6v6Ta6Lv [ 5 fi 7 ] ' 

[5] 



10 



m m 



[3] 



/cc 
/cc cc 





4. uuc jti.J xfi li. S — 6. ovvs%6g G { om. H — 7. fto- 
vddccg H — s] otl'xov P^ — 9. oxrjfiaToygdcpSL GP — 12. 
Gxrjfiari&L CS — 13. slza 6 £ om. H — ■aal ol lomol 
ndvTSg scps^rjg H — 14. ifisXcog G — 15. onoooncsg] dv xat 
add. SH — 1G. otl'xov] ^v/xarog H — sig] ngbg S — sav- 



90 



NIKOMAXOT TEPAEHNOT 




IX <&•. TeTQuycovog de itixiv 

aQtd-^tog 6 6vve%r)g tovtco 
kuI {irjXETi Toelg, cog 6 ttqo- 

G&6V, allu T806UQUg bV Tfj 

HUTuyQuopfi ycovtug UTtodt- 
dovg, iv i60TclevQ(p {livTot 
tcuI avTog 6%i]iiaTt6^co^ olov 

a, #, #, tg, xe. Ag, ^#, 



;d, ;£« 



5 P* 
Ui XUTUyQU- 



tovtcov yuQ 

(pUi i607tleVQOi T6TQUyCOVi- 

6{iol ovtco Ttcog ytvovTut' 









a a a\ 


a 


a 




a a a 


a 


a 




a a a\ 



\a 


a 


a 


a 


a 


a 


a 


a 


a 


a 


a 


a 


a 


a 


a 


a 



a 


a 


a 


a a 


a 


a 


a 


a a 


a 


a 


a 


a a 


a 


a 


a 


a a 


a 


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a a 



IX. Io. Phil. rec. I, ly, 16; 
rec. II, %s . — Iambl. p. 83—85. 

— Theon. 11. 15. 19—21 25. 28. 

— Boeth. II. 7. 



xov GP — figuras non habent 
PH; G hoc addit schema, 
quod nos margini adposuimus, 
(simile F) : 

IX. TIsqI xsxQaycovov H 
-cov r — 1. Tgcycovog P — 
3. uai om. SH, del. C — cog 
Ttgoad: H — 7. avra G — 10. 
xovroig S — -naxayacpal G — 
figuras om. GP 



API0MHTIKH EI2AF5>rH. 91 

xal scps^rjg ovtcog, {is%Qtg ov fiovlet. xal tovtotg de 2 
6vuf}efirixev, cogTteQ xal tolg tcqo avtcov^ tr]v tcov 
itlevQcbv 7tQ0Jia6iv xatd tov cpv6tx6v aQi^aov tzqo- 
xoittetv' tcp {iev yaQ dvvduet TtQcotcp tcp evl TtlevQa 
5 ixovdg , tco de eveQyeCa TtQcotco tco d TtkevQa dvdg, 
tco de svsQysCa dsvtSQco tco & TtksvQa tQtdg , tco de 
ust' avtov svsQysCa tQCtcp tcp tg itkevQa tetQa.g xal 
tcp tetccQtcp Ttsvtdg xal tco TtsuTttcp s%dg xal xafto- 
lov s%ijg toig scps^i]g. ysvvdtat ds xal ovtog 6toi~ 3 

10 yr\$6v sxtsd-svtog cpv6txov aQt&ijtov tfj uovddt siti- 
6coQSV$svtcov ovxstt tcov scps^rjg tolg scpsi\\r)g ^ cog 
dsdstxtat, akld tcov TtaQ* eva xstusvcov itdvtcov, 
tovxs6tt tcov 7teQi66cov' TtQcotog yaQ 6 a dvvdust 
TtQcotog tetQaycovog , dsvtSQog 6 a xal y svsQysCa 

15 TtQcotog tstQaycovog^ tQCtog ds 6 a xal y xal e svsq- 
yeCa dsvtSQog tetQaycovog^ tetaQtog de 6 a xal y xal 
e xal £ svsQysCa tQCtog tetQaycovog xal 6 s%rjg totg 
TtQotSQOtg 7tQog6coQSvd-svtog tov -fr yCvstai xal 6 
usx avxov tov ta TtQogxs&syxog xal ovtcog dsC. xal 4 

20 STtl tovtcov ds 6vufisfir]xs to6ovtcov uovddcov tr)v 
sxa6tov TtXsvQav sivat, 07to6ontsQ dv co6iv of slg 
tr]v avtov ysvs6iv S7ti6coQSV&svtsg aQt&uoC. 

1. ovrcog om. H — fis%. ogov H — 3. 4. v.6titslv P 

— 4. nQcorco] uovco C — 6 — 8. xco ds ust . . . s^ocg] 

V.CCL TCp TSTCCQTO) TSTQDCg Y.Ccl TCp TtSlMTCp USVTCtg YCcl TCp ? 

si-cig S — 9. cd scp_s'E,rjg T.otg scp. C ol scpst-fjg Toig s^rjg S 
oi scps'%i]g H — ovTog] cxtco tov adcl. CSH — 6TLxr\8bv C 

— 10. STCLGcoQSv^svTog P STtiGcoQsvousvcov CH — 12. dsdsi- 
htccl] stcl tcov TQLycovcov add. aS — 14. cc] TtQCOTog G — 
17. 6 ante si\r\g om. GP — uQOTSQOcg] TtQcoTcog P tcqots- 



qov C, om. H — 17. TtQogGcoQSv&svTcc G — 22. gvggco- 
QSv%svTsg SH — scliema, quod GT adponunt, lioe est: 

(i d ' g q i tfi t d tg t tj x 

I ccql&uol nsQLTtoC' j cc \ y j s \ £ | ft | toc j ty [ i£ | t£ iQ- 
; TSTQccycovoL • j cc | d i & \ i<5 \ v.s i X? \ u& £d nu q 



92 NIKOMAXOT TEPASHNOT 

X l. Tlsvtdycovog de iativ doL&tidg 6 xal avtog 

xatd tr)v s\a7tXco6LV tr)v sig {lovdda 6yr\\iatoyQa- 
cpov^isvog STtLTtsdcog sig TtsvtctycovLXOv 6%rj\ia Ttctvtrj 
i607tlsvQ0V) olov 

a, f, t/3, jc/3, Af, i/«, o 

2 xal ol dvdXoyoL. dXX' s6tL tov \isv TtQcotov xat 
svsoysLav, tovts6tt tov s sxa6tr\ TtXsvQa dvdg , \io- 
vdg [iev yda tov dvvd\iEL 7tQcotC6tov Ttsvtaycovov 
V7tdo%SL tov svog, tov ds tcov exxel\jlevcov dsvtsaov 
tov t/S TtAsvod tQLag xal tov \ist' avtov tov x(i ts- 10 
tQag xal tov §£ijg tov Xs Ttsvtdg xal s^dg tov STtl 
tovtco tov va xal dsl ovtcog' xa&oXov yaQ to6ov- 
tcov \iovddcov r) 7tXsvQa s6tLv , o60L7tSQ slg trjv 
avtov 6v6ta6Lv 6vvs6coQEv&r]6av ctQi&fiol sxXsysv- 
tsg sx tov xatd cpv6LV 6tOL%r\d6v exxsl\lsvov aQL&- 
\irjtLXOv %v\iatog ' 7taQa7tXr\6LCog yaQ xal 6\iOLOtQ07tcog 
E7tL6coQSVovtaL aXXrjXoLg sig nsvtaycovov ysvs6LV ol 
dno [lovddog dvo dLCtXsLTtovtsg scp' o6ovovv, tovts- 
6tLv ol tQLctdL dXXrjXcov V7tsQE%ovtsg' r) \isv \iovdg 
dvvd\isL TtQcotog xal 6%rj\iatoyQctcpSLtctL ovtcog [*], 6 20 
ds s dsvtEQog sx tov a xal d 6vvts^svtcov 6%rj\ia- 
toyQacpov\isvog xal ctvtog ovtcog [ 2 ], ds ifi 6 tQLtog 



X. Io. Phil. rec. I, Xs — A£; rec. II, xg, x£. — Iambl. 
p. 85. — Theon. 26. — Boeth. II. 8. 



X. IJsgl n svt aycovov H -cov r — 2. iiovddag PC 
secundum unitatem Poeth. II. 8. — oxrjuaToyQacpousvog P 
— 6. dvdloyov CSH — 7. tovtsotl \ rjyovv H — sndoTOv 
P, om. H — 9. svog] uqcotov S — 12. 18. y.ci&. yctQ yial 
snl tovtcov T06. H — 13. s-acIotov SH — sotccl H — 
14. snXsyovTog P — 15. GTi%r\8ov PC — 21. su tov 
tcqcotov v.a\ TSTCiQTOV G — 21. 22. G%r\uaToyQacpovu. . . . ov- 
Tcog om. H — 22. 6 ds i(i 6 om. H 



API0MHTIKH EISAr&rH. 



93 



ex re tcjv dvo TtQoreQCJv xal 
tov £ irtiaojQsvd-evTog avrotg, 
Tva xal avTog TQtdda nlevQav 

6%fh OJgTQiOJV GVVTS&EVTGJV etg 

5 T7jv avTOV OvGraOiv, cog xal 6 
7tQ0 avTov u £ dvdda TtkevQav 
el%ev ex dvo GvvTe&eig, r) ds 
G%r\\x,aToyQacpia avrov TOtavTrj 
eGtlV [ 3 ] 

M 




10 ol de eitl Tovroig yevr\Gov- 3 
rai xa^e%r\g 7tQogOcoQevo{ievcov 
tcjv xard TQiddog v7teQ0%r]v 
evrdxTCJv [ierd rrjv e^do^idda 
ovtcjv, olov rov 

15 t, ty, tg, t#, x/3, y.e 

xal eit* diteiQOv' eOovrai yaQ 

xfi, Af, va, 0, ^f/3, Qit, 
xal tovto ^le%ql ltavrog. 



2. e'xrj SH — 5. Syccdi H — 
10. TOVTCp H — 14. ovxcov] ov- 
rcog G — olov tov om. H — in co- 
dice G (T) baec adposita sunt: bgcc, 
ncog ex tov cpvcr/.ov xvficcxog cIuotb- 
Xovvtui ol 7Z£vTccya>voi (u. mrg.) • 




94 



NIKOMAXOT TEPASHNOT 



XI ta. 'E^dycovoi de xal §itxdycovot xal ot §£rjg xccxd 
xr]v avxr]v ecpodov TtoofiifiaG&inGoviai d%6 xov cpv6t- 
xov yy\nccxog xov ccql&iiov 6xot%r)dov exxe&evxog 
aiel xaxd tjtovddog 7tQog&e6tv xcov ditooxdcsecov yt- 
vo\ievcov' cog yaQ 6 \iev xQtycovog xovg \iovddt dta- 
cpeQOvxag , \irjdev TtaQCcketTtovxag eig xr]v GcoQetav 
de%6{ievog ditexeXetxo , 6 de xexQaycovog xovg dvddt 
[iev dtacpeQOvxag, eva de naQaketitovxag, Ttevxdycovog 
Oe dxoXovd-cog xovg XQtdSt \iev dtacpeQOvxag, dvo de 
itaQaketitovxag , ovg xal aTtedeC^aytev v7todety\iaxa 
ccvxcov xe xal xcov aitoxeXovyiivcov ex&eixevot e% av- 
xcov^ ovxcog xal §%dycovot yvco\iovag e%xrv6i xovg xe- 
XQadt [iev dtacpeQOvxag, XQetg de TtaQaletitovxag , e% 
cov 6vvxeftevxcov ocoQrjdov ditoxelovvxat^ olov 

«, f, #, ty, tf, xcc 
xal ecpe^rjg, tva ot a7toxelov\ievot e\dycovot cbotv 
a, g, te, xr\, \ie, |g 
2 xal det, yt§%Qtg dv xtg ^ekr}. ot de xovxotg dxoXov- 
#m §7txdycovot xovg \iev yvco\iovag eyov6t Ttevxddt 
[iev dtacpeQOvxag, xexQCidt de dtaXetTtovxag, otov 
a, g, t«, tg, xa, xg, la, Ag 
xal ecp' o6ovovv, ccvxol de ot 6vvt6xd- 
\ievot et6tv 




XI. Io. Phil. 

x-d". — Iambl. p. 
Boeth. II. 9. 



rec. I, Xrj- 
85. 86. - 



-fia ; rec. 
Theon, 



ii, *n, 

27. — 



XI. 1. Y.afts'&,r)g H — 2. ccvtgjv G — 
3. rov ccg. . . . inrsd'. om. PC — GTL%r]d6v 
H — 10. V7C£dsi£a{isv CH — 11. &siisvol 
H — 14. olov] rovg add. P — 18. av\ ov 
HS — &i Xol P 'frilsi SH— G hanc adseribit 
figuram (u. marg.) : — oi\ sl G — 19. T^ovgl 
C Io. Phil. rec. I, [i 



API0MHTIKH EISAr&rH. 



95 



«, £, irj, Xd\ ve, Ttu^ ot/3, Q\ir] 
xul rovro \is%ql itccvrog. oxrdycovoL ds xccru rrjv 3 
p avrrjv xd\iv rolg rs yvco\io6Lv s%u8l dLUcpSQOvrsg 
50 TtQOKOTttovGc xccl rolg 6v6rrj\iu6LV uvuXoycog. lvcc ds 4 
-5 S7tl Ttdvrcov TtUQurrjQOvvrt rovro xu&oXlxov 6v\icpco- 
vov 0, sxu6rov itoXvycovov rovg yvco\iovugdLUcps- 
qslv dXXrjXcov dvddt sXccrrovcog , r\ xuru rr]v sv rcp 
6v6{iart 7tO(Sorr]ra rcov ycovLcov, rovrs6rL \iovu6l \isv 
rov rQtycovov, dvccdi Ss rov rsrQuycovov, rQLudL ds 
io rov Jtsvrdycovov , rsrQccdL ds rov s%dycovov xul 
itsvruQL rov sitrdycovov xccl dsl xccru 7taQccv^r]6LV 
ovrcog. 

t/3. Kal TtsQl {tsv rrjg rcov TtoXvycovcov cpv6scog XII 
rcov S7tL7tsdcov lxccvu rccvrcc cog sv 7tQcory SLguycoyfj' 
15 otl ds 6v\Lcpcovordri] 6*l0u6xuXlu r] TtsQL uvrcov rr] 
yQUMiLxfj xccl ovx u7tddov6u, drjXov uv sly] ov \iovov 



XII. Io. Phil. rec.I, [1$—, ud ; rec. II, X— Xy. — Iambl. 
p. 86—101. — Boeth. II. 10. 11. 



1. gifi, qut) om. H — 2. oxtciycQVLOi H — haec sche- 

mata adponit G : 



a $ y 8 8 5 £ ri & i icc t/3 ty id ls is i£ ir\ i$ x xa 





5. to ccvxo SH 

XII. 15. Gvucpcovozuros H 



TtCiQ CiVtCO 



V C 



96 



NIKOMAXOT TEPA2HN0T 



ex rrjg 6%r}^turoyQU(piug rrjg xa^^ , exu6rov, uklcc xu- 
xet&ev' Ttav rer Quycovov 6%rj[iu dtuycovicog dtutQe- 
&ev eig dvo rQtycovu Iverut xul itug rerQuycovog 
uQL&iidg eig dvo rQtycovovg 6vve%elg Xverut xul e\ 
uqu dvo rQtycovcov 6vve%c3v 6vve6rr\xev' olov rQi- 
ycovoi pev ei6iv 

«, y, g, t, t£, z«, xrj, Ag, ft£, ve 
xul o£ e%rjg, rerQuycovot de 

«, d, #, tg, ^£, Ag, fi#, £d, 7tu, q. 
dvo drj, ovg uv d-eArjg, rQtycovovg 6vve%elg ullr\koig 
6vvdslg Ttuvrcog rerQuycovov %oir\6eig xul ovrtvovv 
rer Quycovov uqu diulv6ug dvvrj6r] dvo ait avrcov 
rQiycovovg 7totr\6ut' xul ituhv Ttuvrl rerQuycovcp 
6%r\\Lari rQtycovov 7tQog£ev%d-ev o&evovv itevruycovov 
Ttouel, olov rco d rerQuycovcp 6 u rQtycovog TtQog&v- 
%&elg rov e itevruycovov Ttotet xul rco & ra e£rjg 6 
e%rjg TtQogre&eCg , dr}Xovort 6 y, itevruyoovov rov t/3 
Ttotet, roo de tg ovrt uxoXov&oo 6 g uxoXov&og eitt- 
6vvre$e\g rov x[5 uxoXov&ov a.Ttodtdco6tv xui roo xe 



15 



3. hocce schema codicis G: 
xsxQccycovov 



sig 6vo 



dict- 



Xvofisvov 



xqi- ycova. 

— 5. Gvvsaxr] H — 7. {is, vs om. H — 9. ncc, q om. H 

— 10. s&sloig C — 12. ccvxov S — 14. xQtycovov a%rjua 

sv G 2 
ov£sv%&sv H — 7rQcoTccycovov G t — 15. S] xsxccqxco G — 
7iQog£sv%&slgl[ TCQogTS&sig S ovvxs&slg H — 16. £ om. P 

— 16 17. 6 S^ijg om. P xco s'%. xco & b s£. xQixog nQogxs- 
frsig xbv s£rjg nsvxccy. t/3 S xco si-rjg XQiycovog 6 y xbv s^rjg 
xbv ifi Ttsvxccy. H — 18. ccxoXov&cog H 



API0MHTIKH EISAr.QrH. 97 

6 v xov Is xal dsl ovxcog. xaxd ds xd avxd xav 3 
xolg TtsvxaycovoLg ot XQiycovoi TCoogxi&oivxo xfj avxr^ 
xo\sl, xovg svxdxxovg ysvvrJ6ov6Lv s%aycovovg xal 
Ttdfov sxsCvoLg ol avxol TtQogTtlsxousvoL xovg iv 

5 xd%£i sTtxaycovovg 7tOLr\6ov6L xal usx' sxsCvovg xovg 
oxxaycovovg xal xovxo stx\ cctihqov. TtQog d£ VTto- 4 
uvy]6lv sxxsC6%co6av r)utv Ttolvycovcov Gxiyoi 7taoaX- 
Xrjlcog y£yoan{i£V0L oWs, o 7tQcoxog xgCycovcov , o 
usx ccvxov xsxQaycovcov, usxd ds ducpoxsQOvg 7t£vxa- 

io ycovcov , sixcc £%aycovcov , slxa £7txayc6vcov , £lxa , £l 
id-£?.OL XLg^ xal xcov £%rjg TtoXvycovcov ' 
{irjnog "Aul Ttluxog 



TQiyCOVOi u 


7 


■ 


z 


H 


XO! 


xr? 


A=r 


US 


V8 




TSTQCiyCOVOL Ci 




e- 


ts 


y.8 


1« 


u# 





*« Q 


Ul 


TteVTCr/COVOL Ci 


£ 




%p 


i* 


va 





•tf 


0t£ QUS 




st-uycovoi a 


s 


u 


*n 


tt£ 


e* 


fl.tt 


qx 


qv/ q h 


aa. 


r 

STZTUyCOVOL Ci 


t 




18 


»>£ 


7tc<: 


*tf 


9,ury 


Q7t& ols 





p £%£6xl d y £ xccl xcov ecpe%ijg Ttolvycovcov xrjv sx$s6lv sv 
51 7taQa?.lrjXoLg ovxco 6xC%0Lg 7tOLrJ6a6d-ccL. xa&ofoxcog 5 
20 yaQ svQrjdsLg rot)g v it£i/ xsxQccycovovg xcov vtcsq av- 
rot)g 6v6xrjua ovxccg ouoxccycov XQLycovcov xal sxl 
xcov vTtsQXSLUsvcov sxsCvoig ouoysvcov, OLOV 



ov 
1. TCi uvtu] tuvtu S — 2. si TQiycov TtQogTS&oivTO S 

ei TQ>'y. TTQOgTL&SVTCU H — 3. 4. Y.UL TtCiltV ust' H — 6. 

OKTuycov. om. H — tovto] ovTcog H — 7. s-aheioiTG) S — 
TtUQCillriloL H — 8. oids om. CH — 8. 9. 6 ust' uvtov] 
6 dsvtEQog II — 9. uucpoTSQU G — 10. sltu sh,r\g s^uy. H 
— 11. ftslsL SH — 13—17. schema om. PH — 18 s£eoti 
. . . nolvy. om. H e£sotl yuQ -auI ttjv tovzcov ehiTeolv C — 
iv om. H — 19. ovtco om. C — 6ZL%0Lg\ cognsQ tcov tiqo 
uvtcov add. SC — tioislg&ul H — 20. 21. uvTovg] nsius- 
vcov add. S — 22. vitSQy.SLU.] v7tSQ SHSLvovg v.s>usvcov H 

XICOM. f.d. HOCIIE. 7 



98 NIKOMAXOT TEPAZHNOT 

xov d xov y val a, 

xov ft xov g val y. 

xov ig xov i v.a\ g, 

xov v.e xov te xal *, 

xov de Ag xov v.a y.al te 
val ue^Qig dei ovxcog' xovg de Ttevxaycovovg xcov 
vtcIq avxovg oiioxaycov xexQaycovcov 6v6xy]ua ovxag 
xal TtQogixi xcov itQcoxoyevcov xQiycovcov , 0601 ei6\ 
uovddt ekaxxov ouoxayeig, oiov 

6 uev e xov d xal a. 

6 6e ifi xov 0- y.al y. 

6 61 x(i xov tg v.al g. 

6 de ke xov y.e y.al 1 

6 yal del ovxcog. itdhtv de ot e^dycovot xcov viteQ 
avxovg o^ioxaycov Ttevxaycovcov y.al xcov TtQoexxe&ev- 15 
xcov XQiycovcov oiiotcog, olov 

g xov e xal a, 
6 te xov ifi xal y. 
6 de y.)] xov v.fi v.al g, 
de ue xov ).e v.al t 

7 %al tie%Qig ov flov),ei. xcov de ejtxaycovcov 6 avxog 

XQOTtOg ' 

6 uev yaQ £ 6v6xr]ua xov g v.al a, 

6 de 11} xov te v.al 7, 

6 de ).d xov v.)} val g 
y.al 01 ifcijg dv.olovd-cog. i'va ev.aOxog itokvycovog 6v- 
6X7]ua i] xov xe vrteQ avxov ouoxayovg uovddt e).dx- 



1. a~\ xov a eodd. — 3. ?] xov ? codd. — 5. xbv 8h 
?.? ... tf oni. H — 6. iiiiQiq om. H — v.av xotg rrsvxayco- 
voig svgoig S — 8. nQCoxoycovcov S — 9. ilaxxovsg SH — 
14. dsl ovxa;] usyQig ov fiovlsi P — 15. rcsvxaycovcov om. 

6 
SH — 7tQ087i&&VTCov P — 16. olov om.SH — 2~.avxcoG 



API0MHTIKH EisArara. 99 

rovog 6{ioycoviov xal xov dvcordrov roiycovov rov 
[{tovddt ikdrrovog] oporayovg itao' sv xstusvov. 
sixorcog ccga 6rot%stov Ttokvycovcov ro rgtycovov xal 8 
iv yQaytytatg xal iv ccQtd^^totg' xal yaa xal xard 

5 pd&og xal xccrd Ttkdrog iv rcp dtayQcaiiiart svQt6xov- 
xat ol 6vvs%stgaisl aQt&ixol xccrd TOi)g 6ri%ovgavrovg 
syovrsg dtacpoQag rovg svrdxrovg rQtycovovg. 

ty. Evrsvdsv 7]dr] Qadtov 6vvtdstv, rtg rs 6 XIII 
6rsQsog ccQt&uog xai Ttcog i6o7tksvQcog 6 rotovrog 

10 TtQOXOTtrst' 6 yaQ TtQog rotg dv6t dta6rrjua6t rotg 
iv rfj iittTtsdco 6%r]^taroyQacpta &so.iQOV{LSvotg iit\ 
uijxog xal iicl itkdrog rQtrov dta6rrj^ta TtQogstkrjcpcig^ 
6 rtvsg {isv /3a#og, rtvsg ds 7td%og xakov6tv , svtot 
ds vipog, ixstvog dv sl'rj 6rsQs6g aQt&iiog 6 rQtyrj 

15 dta6rarog xal sycov iv savrco txrjxog, fid&og, Ttkdrog. 

IlQc6rt6ra ds ovrog cpavrd&rat iv ratg Xsyo^is- 2 

vcctg 7tvQaat6tv. ccvrcct ds ytvovrat ix TtkatvrsQCOV 

(5a6scov ^tstovQt^oixsvat sig o^stav xoQvtprjv, TtQcorov 

{isv xard rQtycovt6(iov dito rQtycovov f)a6scog, dsv- 

20 tSQOv ds xcctd tstQaycovt6a6v dito tstQaycovov fid- 
6scog, iijrjg ds TOifrotg xcctd 7t£vtaycovt6u6v aito 



XIII. Io. Phil. vec. I, us, tig; rec. II, X8, Xs. — Iambl. 
p. 131—138. — Theon. 28—30. — Boetb. II. 12—14. 



1. biioycoviov] -covov H noXvycovov C — ocvcotcctov 
om. C — 2. [tiov. sXcctt.] delenda censeo; librarii negle- 
gentia repetita sunt. — 7rao' ?v v.slusvov] tco noXvycovco 
TQiycovov CH, om S — 5. vccl v.. nXccTog, quae Ast deleuit, 
tuetur Io. Phil. I, u8 (II, Xy) — 6. val vcctcc G 

XIII. TLsol gtsqscov Cu — 9. ioo-itXsvQog P — 14. 
OTSQSog om. P 

XIII. 2. IJSQL 71 V Q CCUld COV Cu 17. nXdTVT.] STtL- 

Sl 

nsScov ficco. add. H — 18. uslovql^ousvcov GS uvovqi£6- 
usvccl C — 20. PctGscog om. H dsvzsQog . . . ficcGscog om. S 
21. s£fjg . . . uitb om. P 

7* 



100 



NIKOMAXOT TEPASHNOT 



irsvraycovov pa6scog, sira dvdXoyov dno i^aycovov p 
xccl iitraycovov xal oxraycovov xal dsl sit cmstQOv. 52 
8 xa&aTtSQ d{isXst xal iv roZg yscoytSTQtxoZg 6rsQsoZg 
6%r]\ia6tv dito TQtyorvov itioitlsvQOv idv rtg sv&slag 
ivvor]6r] TQStg d%o rcov ycovtcov rco \ir\xst i'6ag rccZg 5 
rov TQtycovov itXsvQaZg xa& vipog 6vvvsvov6ag sig 
sv xccl to ccvro 6r]\isZov , 7tVQa(ilg clv ccTtorskscj^si)] 

VTtO TS66aQC0V 7tSQtS%0{lSVr} TQtycovcov iGOTtlsVQCOV TS 

xal Icjcov dXXr]Xotg, ivog [isv rot; £§ aQ%rjg TQtytovov, 
TQtcov ds rcov TtsQtyQacpsvrcov vTto rcov Xs%&st6cov 10 

4 TQtcov sv&stcov. xal TtdXtv dito rsrQaycovov iittTts- 
dov idv rtg rs66aQag svdsiag Xoyi6r]rat rcp \ir\xst 
i'6ccg raig rov rsTQaycovov itXsvQaZg ixa6rr]v ixd- 
6rrj TtdXtv xard ro vipog 6vvvsvov6ag sig s x v xccl ro 
ccvro 6r}[iSi0v, TtvQa^ilg dv ditorsXs^^sir] dito rsrQa- 15 
ycovov {3a6scog rsTQaycovtxcbg {istovQt£o{isvr], 7tSQts%o- 

{ISVrj 6s. VTtO TS66aQC0V [ISV TQtyCOVCOV i607lX£VQC0V, 

5 ivog ds TSTQCcycovov roi} e% aQ%rjg. xal dito itsvrcc- 
ycbvov ds xal i^aycovov xal iitraycovov xal \is%Qtg 
ov fiovXsrai rtg 7tQO%coQsZv, rcp ccvrcp TQOTtcp sv&stat 20 
faccQi&poi rcctg ycoviatg ait avrcbv rcov ycovtcov dv- 
systQO[isvat xal sig sv xal ro avro 6vvvsvov6at 
6r\asZov TtvQaytida a7toxoQVcpov6iv 6vo\ia^o\isvr]v 
ccTto itsvraycovov fia6scog rj i^aycovov r) ijtrccycovov 



1. TtsvTctycovov fictcscog om. P — TtsvTcty.^ XQiycovov G 

— 5. irtLvoiJGr) CSH — tco urj-nst om. H — 8. vtco t, 
nsQis%. om. H — 10. TtctQCtyQCtcpsvTCov G — 12. XoyrJGr/Tca 
GP — 15. clv cinoTsl. om. S — 16. TSTQCcycovLHwg om. H 

— urjOvai£. G uvovqi^. C — G adponit hasce figuras: 



17. iGOTclSVQCOV OlTl. H 20. &0VlSL C 7tQ0%COQ0VGL H 



AP10MHTIKH EISAr^rH. 101 

rj dvdloyov. ovtco de xcci ev totg ttQtd-iiotg ditb 6 
iiev {lovccdog cog ditb Grj^tetov ltccg yQcc^t^ttxbg rjv^rjd-rj 
ccQt&tiog, olov 

a, /3 y, <J, s ^ 

5 xcci ot e^rjg ert ditetQOv' dtt ccvtcov de tovtcov 
yQcc^tiitxcov bvtcov xcci ecp' ev dtccGtcctcov Ttcog Gvvte- 
%evtcov xccl ov% cog etv%ev ot TtoXvycovot xcci e%i- 
itedot ccQtd-{ioi itXttGGovtcct , tQtycovot [tev 7taQ<x iir]- 
devcc Gvvte%evtcov tcov yvcoiiovcov , tev Qccycovot de 

io TtccQtt evcc, nevtdycovot de TtccQtt dvo xcci dei ovtcog. 
tbv ccvtbv dr) tQoitov xcd ccvtcov tovtcov tcov eittite- 7 
dcov Ttolvycovcov ttQtd-ficov eTttGcoQevoytevcov dlXr\loig 
xcci cogccvei ejtotxodo^toviievcov cct biioyevetg exdGtco 
TtvQcc^ttdeg yevvcovtat^ r) [iev ditb tQtycovov jidGecog 

15 dit ccvtcov tcov tQtycovcov , r) de ditb tetQccycovov 
fittGecog dit ccvtcov tcov tetQccycovcov^ r) de ditb itev- 
tccycovov ttTtb tcov itevtccycovcov xcci r) ditb e%ccycovov 
ttTtb tcov e\\ccyc6vcov xcci tovto dt' olov. etGiv ovv 8 
ccl fiev ditb tQtycovov pttGecog evtccxtot ccvtcct 

20 «, tr\ t, x, /U, vg, Jtd 

2. yQccu(i,LHcog GP (-6g tuetur Io. Phil. I, (i? (II, Aa) — 
3 olov om. H — 6. Slugtutov C — 8 — 10. ZQtycovog . . . 
zstQccycovog . . . nsvTuycovog H — 11. tovtcov om. H — 
13. cog uv sn. S — snLxodou. G svoly.oS. H — 14. uno- 
ysvv. H — 15. civtcov om. S — ot ds G — 16. fidoscog 
om. H — uvtcov om. SH — 16. 17. (iuGscog . . . nsvTCc- 
ycovov om. G — 17. y.ul r) . . . s^uycovov om. H — 18. G 
adscribit: 

nQcoxrj nvQuaCg. Ssvtsqcc nvQUuCg. [tqCttj nvQuuCg. om. G] 
cc cc ct 

a u a 

uu ua uu 

uuu uuu 

uuu uuu 



auuuu 
uuuuu 



102 NIKOMAXOT TEPASHNOT 

xicl i(p£%rjg, cov r) yiv£6Lg ccvrol ol TQCycovoL alliq- p 
loLg i7tL0coQ£v6^i£voc^ TtQcorog [i£V 6 «, £lxu 6 ccy, 53 
£Lta 6 ayg, £lra TZQog rovrotg 6 l xccl icp£%rjg 6vv 
rolg 7tQ06&£v 6 L£ xcct iitl rovroig 6 xcc xul i%fjg 6 
9 xr\ xccl iit o.%£lqov. dr)lov $£, ort xal 6 ^Ct^cov 5 
rcov ccql&iicov xarcorarog vo£ltccl^ ccvrog yccQ fiu6Lg 
£VQL6x£raL, 6 6h £v&vg {i£r' ccvrov VTt£Q avrov 
xccl 6 ftfr' ix£lvov v7t£Q rovrov , £cog ccv r) fiovccg 
inl rfj xoQVcprj cpccvfi Kai d>gccv£L £Lg 6rj{i£iov ccTto- 
H£L0VQL6tj rr)v t£Xuco6lv rfjg 7tvQcc^tCdog. io 

XIV l6. Al dh i£rjg TtvQcc^iCd^g £L6lv ccl cctio T£TQa- 

ycovov ficc6£cog 6{iOL06%rj{i6vcog dvL6rd\i£VttL icp' £v 
xal ro avro 6r]{i£tov' ccvtccl dh rcp ccvrco tqotxco 

7tXcc660VTttt Tttlg 7tQ0l£%&£L6CCLg TQLyCOVLXttlg' rovg 

yccQ ccito povttdog £vrdxrovg T£TQccycovovg 6roL%r]cl6v i5 
ixd-i^i£vog 

a, <?, #, tg, x£, Ag, ft^, ^, 7T«, q 
xccl xovg i£,fjg txccXlv 6coQr\6ov iTttrC^r^it dXXr]Xotg 
xccrd pdd-og ccvTovg^ roV cc iTtdvco rov d, xul yCv£TttL 
7tVQa[ilg r) £ iv£Qy£Ca 7tQc6rr] dito T£TQuyc6vov $d- 20 
6£cog , dvvdfist ydQ 7tQc6rr\ xccl ivrav&cc r) [lovdg. 
2 Ttdhv d' uvrr)v rccvnqv^ cog £%£l, rr]v TtvQu^iCdtt rfjv 
ix 7tivT£ ytovddcov i7tLTC&r}[iL olr]v rcp & T£TQuyc6vco 

XIV. Io. Phil. rec. I, fi£, \ly\; rec. II, Xe — X£. — Iamhl. 
p. 131—138. — Boeth. II. 14. 15. 



2. iniGOQ. G — 7. ev&vg vn uvtov H — 8. ev.eivov] 
nul add. G — ecog [cog H] uv elg SH — 9. dnoavov- 
QLdtj C\ H in mrg: dvvaxai ■xul ovrcog unoyivaov.tG&ea' 
unofivovQiGrj. 

XIV. 12. iGzutievui S — 15. svzd-nrag H — gxi%y\- 
Sov PC — 19. yivovtUL C — 20. tu s C — §uG£(og] 
TtlsvQuv i-rovGu ndvzo&L [-&ev H] dvudu add. CH — 
21. dLvufitL G — TZQCOzrj'] u P — 21— (p.l03;2. dvvuueL . .. 



API0MHTIKH EEEAT&rH. 103 

xccl 6vvC6tcctuC ixot r) td 7tvQaijttg djto T£TQuyc6vov 
fiu6£cog Ttksvoav £%ov6u 7tdvTO%t TQiddu. xr\g ttqo- 
taoag dvccdcc £%ov6rjg zrjg f, trjg dh dvvdijt£t ttqcotC- 
OTrjg txovddu' 8el yuQ xccl iv&dds toOovtcov ixcc- 

5 6ty\v tiX^vquv rjgTtvogovv TtvQuciCdog {lovddcov sivat, 
oaot7t£Q £t(5t roi/ ciQL&fiov ot £t'g 6v6Tu6tv avxrjg 
6v66coQ£vd*£vx£g Ttolvycovot. Ttdhv yuQ XY\V td itv- 3 
Qa^ttdcc 6vvoXr\v fia6tv £yov6av t6v & X£XQaycovov 
£7ttTt'&r]Ht xco tc; T£TQayc6vco xul UTtox£k£txuC ixot r) k 

10 TtV Qaytlg TQtT7] xux' £V£Qy£tCCV xcov uTto T£TQaycovov 
fiu6£cog ov6u' zjj d* ccvxrj xd%et xcct uycoyrj xccl dito 
7t£VTuyc6vov fiu6£cog xccl ccTto £%uycovov xccl £7txccyc6- 

VOV /}d6£C0g XUt £7tl 7tk£tOV U£t 7tQ0%C0Q0VVT£g 7tV~ 

QuixCdug 6v6Tri6oii£d-a xovg dvakoyovvxag £xu6xr\ 
15 Ttokvycovovg £7tt6coQ£vovx£g dkkrjkotg dito ytovdoog 

UQ^6yi£V0t COg CCTtO £ku%C6T0V Xtcl 7tQ0XC0Q0VVT£g 

rjL£%Qtg u7t£tQ0v xu& £xu6xr\v. xul ix TOVTOv Srjkov 4 

ytV£TUt, OXt 6T0t%£tC0d£6T£QU XU TQtyCOVU' 7tU6Ut yUQ 
CC7tlc6g CCt d£tXVV^l£VCCt Xul CpUtv6yt£VUt 7tVQUlJttd£g 
20 UTtO XCOV XCC& £XU6XYjV TtokvyCOVCOV l3u6£COV XQtyCO- 
VOtg \L£%Qt XOQVCprjg 7t£Qt£%OVTUl. 



{3u6Scog om. H, qui haec sola scribit: slzu l3" nvQUulg 6 id. 

G adscribit: u u 

aa aa 

aa aa 

aaa 

aau 

ctaa 

2. Tidvzo&sv S nuvzuy^oftsv H — ZQidSog P — G. 
zcov uql&ucov G — uvzov GP — 7. GV6C0Q. GP ubique; 6co- 
Q8V&. S — 8. olrjv H — 9. t?] s£,aY.uihsKuzcp G — uoi 
om. C — 13. Pu6ecoq om. CSH — 14. s-AU6zovg P — 17. 
zovzcnv 8s 8. H — 18. 6zoi%icoS. G — 19. unXcog om. S 

— VCpULVOUSVUL GH 



104 NIKOMAXOT PEPA2HN0T 

5 "Iva de \ir) dvqxooL co\iev koIovqcov xa\ 6lkoXov- 54 
qcov xccl tqlkoXovqcov 7tVQa\iCdcov^ cov zolg 6v6[ia0LV 
evTev£,6\ied-a ev 6vyyQa\i\ia6L \idXL6Ta TOlg ftecoQr]- 
HaTLitoig , l6ts'ov, otl, edv 7tVQa\i\g dcp' r)gTLVogovv 
fiatiecog, tovt^gtlv ovTLvaovv TtoXvycovov e%ov6a (5d- 
6lv ehe TQLycovov ehe TeTQaycovov ehe irevTaycovov 
ehe tcov e%rjg TLva tcov 6\ioyevcov TtoXvycovcov, xaTa 
GcoQelav av^rjd-eltia \ir) titl \iovdda \ieL0VQL6ftrj , xo- 
XovQog ditlcog XeyeTat e6TeQr]\ievr] Trjg cpv6Lxrjg %a\ 
TtaGLv e7tLfiaXXov6r]g xoQvcpco6ecog ' ov yaQ elg tov io 
6vvd\ieL itolvycovov Tr)v {lovdda TeXevTa avTr] cog 
elg ev tl 6r]\ielov , aXX' eCg eTeQOv eveQyeCa, %a\ ov- 
xeTL \iovdg xoQvcprj , aXX' ejtCitedov avTrj to TteQag 
yCveTat C6oyc6vLOv ttj fia6eL' edv de TtQog tco \ir) eig 
{tovdda TeXevTav §tl xa\ \ir) eCg rov TtaQa tyjv \io- 15 
vdda eveQyeCa tiqcotov TeXevTr]6\], dLxoXovQog Xeye- 
TaL r) TOLavTr] ' edv de %a\ eTL jir) e%i] tov eveQyeCa 
devTeQOv ltoXvycovov iitl tco 6v\iTteQa6\iaTL , dXXd 
\iovov tov VTt avTov, TQLXoXovQog xexXr]6eTaL xa\ 
TeTQauoXovQog ye, dv na\ tov \ieT' melvov \ir) eyjj, 20 
na\ TtevTanoXovQog naTa to e^rjg %a\ de\ \ie%QL 
(iovXei TtaQeTiTeCvetv to 6vo\ia. 

XIV, 5. TLsqI koXovqcov SH — 1. civsiv.ooL G — 
3. &ea)Qr]TiKOis P &8oXoyiKOig S (cf. Io. Phil. rec. I, urj: 
S7tsidrj7tSQ roig xoiovzoig ovouccglv, olcc slkos, evrsvtzous&oc 
sv fiifiXiOLg riol &scoq r\riv.o ig — xat ccvrog yccQ usyi6rrjv 
nQuyficirsiccv fteoXoyLy.rjv roLCCvrrjv syQUipsv — sltzcousv ktX. 

— rec. II, A£: cogrs ur) ccvevvorjzovg rjuccc rovrcov slvcci tiocv 
rccTictGi, cprjaiv, cog STtSLdrj7tSQ roig roiovroig ovolxccglv svtsv- 
^ous&cc sv fii(HioLg tlgl & scdqt] (jlcct lxo ig , tovtsgtl &sco- 

QrjlXCCTOC LlCC&rjUCCTLKCC 7lSQlS%0VGl ■X.CCL ccvxog yCCQ 6 NlKO- 

uoc%og usyicrrjv TiQCcyuccTsiccv tzsql tovtcov £yQ<xipsv — SLnco- 

LLSV XT<1.) — 4. OgTLVOgOVV (i 7JVTLVCC0VV C — 6. SLT8 

Txsvr. oin. S — 7. rbv s!-. P^ — 8. ur)] hccl G — uvovql- 
Gftfi C (isiovQrj&fj S — 9. U7ilog P — 10. e7iL(}odov6r}g P 

— 15. Y.ul sig, 0111. (ir) GS — 21: psxQig ov PCH 



API0MHTIKH EI2Ar5>rH. 105 

LE. Kal i) LIEV TCOV L607tkEVQCOV 6TEQSC0V aQid*- XV 

ljlcov TtvQa^iosidcjv ysvs6ig xal TtQOxoTtr) xal ETtavfy]- 
6tg xal (pv6ig roiavxn] 67tEQLia xal qC&v s%ov6a rovg 
Ttolvycovovg avrovg xal rrjv sxsCvcov svraxrov siti- 

5 6coQsCav , srsQa ds TLg 6tsqecov srsQoysvcov svra%Ca 
s6rl rcov IsyoLiEvcov xvficov^ doxCdcov, 7tlLV&Cdcov. 
6cpr\vC6xcov, 6cpaLQLXcav, 7taQaXkr]XE7tL7tsdcov^ rr)v rijg 
7tQofia6scog ra%LV s%ov6a roLavrrjv tlvcI. ol %qo- 2 
cpQa6d-svrsg rsrQccycovoi 

io «, d, #, tg, **, Ag, ii&,- £6 

xal oi sE,r)g di%rj ovrsg 8ia6Tarol xal sv rfj ETtLTtsdco 
6%\}iiaroyQacpCa Ltrjxog xal Ttkdrog liovov E%ovrsg sn 
xal tqCtov TtQogkri^ovraL dLCi6rr]Lia xal s6ovraL 6rs- 
Qsol xal TQL%rj OLa6raroC , sdv rr) CdCa TtXsvQa sxa- 

15 6rog 7tolla7tla6La6&r), 6 liev d dlg j3 cov Ttdhv dlg 
ysvoLisvog , iva oydodg a7tOTEAE6&(], 6 ds & TQlg y 
cov Ttdhv TQLadL sit dllo dLa6rr]Lia av%r]d-fj xal ys- 
vr\taL 6 x£, 6 ds cg rsrQaxLg d v7taQ%cov Ttdfav rs- 
TQCidi r?) avrov TtlsvQa Lisysd-vv&f] xal ysvrjraL 6 

20 £<5, xal ol s^rjg 7taQa7tXr]6Ccog {ie%ql Ttavrog. ro6ov- 3 



XV. Io. Phil. rec. I, u#, v\ rec. II, Xr\. — Iambl. 
p. 137. 138. — Boeth. II. 16. 



XV. 2. nvQccuiScov P -uidcov H — ysvvr{Otg H in 
mrg. — 2. 3. snccv^rjotg %a\ cpvatg P snccvi-rjotg, cpvoig G 
snav'%r\ascog cpvotg CSH snccv^rjotg cpvoiv.r) Ast — 5. /Ispi 
■xvficov, SoylScov. atprjvtOY.cov v.cci nXiv% CS cov H — 
stsqojv C — STSQoysvcov om. P — 7. ocprjvLY.cov C — 10. 
i-S om. PCH — 11. ovtsq] snl urJY.og r/ nXaTog add. S — 
14. nXsvQcc] nccXtv add. H — 15. noXvnX. H SinXaGLtt- 
G&ij S — Sig] sv.ccGTog S — 16. ysvousvot C — ttnoTsls- 
o&sirj H — 16—18. 6 Ss & ... v.t om. C — 19. Trj 
avrfj CSH — 18. 19. d «£ . . . ysvr\Tai om. P — 
19. o om. G — 20. nccvTog] v.v$oi qvtoi nccvTsg xccXovv- 
tcci add. C 




106 NIKOMAXOT TEPASHNOT 

xcov de xal iv&dde {lovddcov aC itXevQal e6ovxca, p 
o6cov7teQ r\6av xal at xcbv xexQaycbvcov, dcp' cov iye- 
vovxo, exa6xog acp' excc6xov , aC iiev xov r\ dvddcov, 
o6cov xal al xov #, aC de rov x£ XQiddcov., o6cov xal 
al xov -fr, aC de xov %$ xexQadcov, o6cov xal aC xov 
tg, xal xovxo icpe^rjg^ cogxe xal r) xrjg dvvdiiec xvfiov 
iiovddog 7zXevQa [lovdg e6xai itavxayo&i, o6r\7teQ xal 
4 r) xrjg dvvdiiet xexQaycovov ^iovddog. xa&olov de 
exa6xog xexQccycovog ev [iev iittTtedov io~xi, ycovtag 
de "e%ei xe66aQag xal itkevQag xe66aQag, exa6xog de 10 
xvfiog rjv^rj^ievog cov i% exa6xov xexQaycovov xrj CdCa 
TtXevQa itokv7tla6La6&evxog iitCiteda [ihv e^et itdv- 
xcog £'£, cov exa6xov i6ov xcb itQoyovcp avxov xexQa 
ycovco, TtlevQag de dcodexa, cov excc6xr\ l'6r\ xal [io 
vddcov ye xcov avxcov xr\ xov TtQoyovov xexQaycovov « 
TtkevQa, ycoviag de oxxco 6xeQedg, cbv exa6xr\ iteQie%e- 
xai VTto xqicov itlevQcbv , ouc i6xlv exa6xr\ xcbv iv 
xcb TtQoyovco xexQaycovco. 
XVI jg. 'ETteidr) ovv 7tdvxr\ i6oitlevQOv iitl [irjxog xal 



XVI. Io. Phil. rec. I, vcc, v$; rec. II. *#. — Theon. 29. 
Boeth. II. 16. 



1. uovddi P — 3. fixaCTOffJ zxocoz G -ov P — 5. at 
nXsvQui tov & H — 6. cogrs] o&sv H — ,7. navTU%6ftsv 

P — OGT]g7tSQ (jSH 061} P 06Y]71SQ C — 12. noXXunX. S 

— s%st H — 13. i'|] i| P — 14 — 10. uovddcov ys to6uv- 

TCOV, 067] TOV TCQOy. TSTQCCy. TtkSVQCC P, LLOV. yS T06UVTC0V, 

O6cov [xal C~\ r) tov 7tQoy. tstq. nXsvQu CH — 17. nXsv- 
qcov] tolovtcov | scil. ycovLcov] Ast. secl intellegendum yQuULti- 
kcov, non snntsdcov; Io.Phil. uocem tcXsvqcov hoc loco ignorauit 
cf. rec. I, v: vnb y 8s tlvcov yQccfiLLcov diqXovoTi' tC- 
vcov yccQ ccXXcov; cci- lisv yctQ sv tco STttnsdcp ycoviccL s%cc6Tr\ 
VTtO L3 yQCCUtlCOV nSQLS%STCU, fioc&vvousvov ds tov STtiTtsdov 
TtQog tccls l3 rrjg ycoviag yQCCLtuaig yiai y*l avracg nQogri&s- 

tccl r) tov (id&ovg. — rec. II, Xrj: yivsrac 6tsqscc yco- 

vicc nsQis%ousvr\ vnh y sv& sttov. — tv om. P 



API0MHTIKH EISAr^TH. 107 

pd&og xal TtXdrog 6%rJLtcc 6reQeov v7taQ%et 6 xvfiog 
xtd ent rdg XeyoLtevag ££ 7teQt6ra6etg tGodidozaxov^ 
dxoXovd-ov doa e6riv , avrtxet6\tat ccvrcp ro Lirjdaiirj 
i'6ccg e%ov xdg dtcc6rcc6etg dXXrjXatg, dXX' dvi(5ov zr]v 
5 rov fid&ovg xrj tov itXdrovg xai exaxeoa rovrcov rr]v 
tov cirjxovg , olov dlg rolg rerodxtg rj dt£ rergdxig 
oxrdxtg rj rotg itevrdxtg dcodexdxtg rj xard rtva dXXrjv 
dvtOoriqra rotavrrjv. rd de rotavra areoea G%r\iiara 2 
Xeyerat 6xaXrjvd anXcog^ cov Ttdvrr] rd dtccarrjicara dvtCa 

io dXXrjXotg eari' TtvegdeavTa7tcoXvcovvLLCog6cpr]vi6xovg 
xakovGt, xal yao xal oC 6cprjveg dvt607tXevQ0t Ttav- 
ra%rj rexrovtxoi re xal oixodoiitxol xal %aXxevrtxol 
xal oC rcov aXXcov reyycov 7tXa66ovrat dno otjvreQov 
dxQOv dtadvvetv dQ%OLievot xal cciel LLaXXov TtXccrv- 

15 voiievot dvoLLoicog xard Ttdvra rd dtcc6rr]Liara ' rtveg 
de rovg avrovg 6cpr]xi6xovg xaXov6t^ rotovrog yaQ 
xal 6 rcov 6cpr]xcov LidXt6ra oyxog d7to6cptyy6aevog 
xccrcc Lte6ov xccl rr]v Xe%&ei6av OLtotorrjrcc eLicpccivcov' 
TtccQcc rovro eixog xal ro 6cpr]xcoLca covoLcc'c6&at, 

20 evfta yaQ % dv cc7to6cpiy^t] , rr]v tov 6cpYjxog evTOLLrjv 

LLiLLetTCCt' ereQOt de rovg avrovg f>coLii6xovg 7tQog- 

P ccyoQevov6tv dno oixeiccg eixovog, ot yaQ TtaXccto- 

56 TQOTtot ftcoLioi, LidXt6ra de icovtxoi, ovre ro TtXdrog rcp 

fidfret our£ 6vvccLLcp6reQcc rcp LLtjxet t6a e%ov6tv otjre 

25 ty]v fic'c6tv rr] xoQVcprj, dXXd Ttccvrr] ei6iv e\r]XXayLie- 

XVI. 3. dga om. S — urjSaucog PSH — 4. s%cov P 
— dvLGov] s%ov add. H — 5. 6. snaTSQav ... xfj S — 6. 7. 
olov 8lg s, TSTQjCiHLg s, 7] 8ig 8, TSTQctv.Lg 8, 6-nxdnLg 8, rj 
TQig y, TTsvxccALg y, dcodsKcimg y rj v.ctxct . . P 8\g tqicc ts- 
TQciyiLg r} dlg 8 OKTaxig r} TQig s 8co8sKczKig C — 10. acpr]- 
vaig G — 16. GcpriviGKOvg -acu Gcprjx. H — 17. uccXigtu 
om. .S — clnoGcpiqyyou,. G clnoGcpLyyousvoi P — 18. ctvo- 
(lOLOTriToc H — 22. naXaLOTSQOL H — 25. s^Xayu. P 



108 NIKOMAXOT TEPA^ttNOT 

3 vol xalg dia6td<5£6iv. cog ovv a7CQOxr)xcov dvo xvfiov 
xe Tcal 6xaXr]vov , xov [iev Tcax ' L6oxr]xa di£6xcoxog, 
xov de nax' avi6oxy\xa Ttdvzr], \ie6ot eioi 6xeo£ol 
doi,&[iol ol Xeyo^ievoL 7taQaXXr]Xe7tC7tedot, cov xa\ xd 
eitCTteda exeQO[i7]xetg v7td.Q%ov6tv «otafytot, cogneQ xa\ 5 
xcov xvficov avxcov xexQaycovoi cIql&^iol i\6av xd e%C- 
Tteda, cog edeC%d-r]. 

XVII tt,. IldXtv ovv dvcod-ev exeQO[i7]xr]g aQL&[idg Xe- 
yexai, ov emitedcog 6xy]\iaxoyQacpr]d-evxog xexQaitXev- 
Qog (iev xa\ xexQaycoviog yCvexai r) xaxayQacpr), ov io 
(it]v i6at dXXr)XaLg ai TtXevQat ovbe xo {irjxog xco 
TtXdxet i6ov, aXXd TtaQa yLOvdda, olov 

6 /3, 6 g, o t/3, 6 k, 6 X, 6 [i(5 
xa\ oi e^rjg' dv yaQ avxovg eittTtedcog dtayQacpr] rtg, 
itdvxcog ovxco %oir]6ei' 15 

cc7ta% /3 /3, d\g y g, XQtg d t/3 
xa\ roi)g e%rjg dvaXoycog' 

xexQaxtg £, Ttevxdmg g, e^dxtg £, eTtxdxtg r] 
xa\ eit ditetQOv , jiovov Zva \iovddt {ieC£cov r) exeQa 
TtXevQa xrjg Xot7trjg r), aXXcp de \ir]dev\ aQL&[icp ' edv 20 
de aXXcog TtaQa xr)v povdda dtacpeQco6tv dXXrjXcov al 
TtXevQat, otov dvddt, XQtddL^ xexQadL rj ecpe^rjg, 
cog xd 

d\g d r) XQtg g r) xexQaxLg r\ 



XVII. Io. Phil. rec. I, vy — v£; rec. If, 11 — [i(i. — 
Iambl. p. 102 seq. — Theon. 24. 29. — Boeth. II. 17—20. 



8. Ttavtf] om. S 

XVII. IIsqI s xs qou rjnovg GP — S. srsQoajjztg 
— 10. rsxQccycovog C — 14. diccyocccpsi P — 15. ovrco om. 
S — 16. p . . € . . i§ om. H — 17. ccvccloyov H — 18. £, 
7tsvr. om. P — 20. ovSsvl SH — 21. ccllcoq] ccXXco H — 
22. dvccdi 7] rQ. r} rsr Q . SH — 24. rQig rj, GPH cf. XVIII, 2. 



API0MHTIKH EirAF.QrH. 109 

r) OTtcog %ots ovv STSQcog, ovxstl xvQtcog 6 xoiovtog 
sTSQO^xiqg xXr\ftr]OsTaL, aXXa 7tQoar]xr]g' stsqov yaQ 
xccl STSQOTrjTa ov TtaXaiol oC TtSQt ts IIv&ayoQav xccl 
Tovg sxsCvov diado%ovg Ttvd-^isvtxcog ivtij dvccdi s&sco- 
5 qovv^ TavTov dl xccl tccvt6ty\tcc sv t fj uovddc^ cog sv 
dvolv ccQxcctg tcov oXcov' svQt6xovTat ds avTat {lovddt 
pdvov ccXXrjXcov diacpSQ0v6at, cogTsxatTO stsqov OnsQ- 
LtaTtxcog Liovddt stsqov sOtl xal ovx aXXco ccql^lico ' 
Slotcsq xccl Ovvrj&cog snl dvotv, aXX' ovx sitl TtXsLO- 
io vcov to stsqov XsysTac TtaQa Totg OQ&cog dtaXsyoLis- 
voLg. ccXXd lly]v xal ^iovccdt [isv sCdoitOLStO&aL ccits- 
dsL%d-r] 6 TtSQLOdog Ttdg aQL%uog , dvddt ds 6 aQTLog 

p Ttdg ' O&SV SLXOTCOg TOV USV TtSQLGOOV Trjg TCCVTOV 

57 CpVOSCOg SQOVUSV LLSTS%SLV , TOV 6s aQTLOV TY)g d-CCTS- 

15 QOV, XCcl ytXQ dr) XCcl XCCTa OCOQStaV SXCCTSQOV CCTtOTS- 

XOVVTCCL CpVOSL, CcXX^ OV% r){lCOV &SUSVCOV, Ttj LISV TOV 

dito {lovddog tcsqlOOov sit djtsiQOv r] TSTQaycovcov 
cpvOtg^ t\] ds tov ccno dvddog aQTtov 1% ditSLQOv 7] 
tcov STSQO{Lr]xcb~v. TtaOcc ciqcc dvdyxr], tov u\v rsTQa- 

go ycovov oisO&ca itccXtv Trjg TavTOv cpvOscog ^lsts%slv ' 
tov yaQ ccvtov Xoyov xccl o^lolov xccl ccitccQaXXccxTOv 
xcct sv iooTr]TL xslusvov aC tcXsvqccI cwtov djtodst- 
xvvovGt TtQog savTag, tov ds STSQO^rjxr] Trjg &ccts- 
qov ' ov yaQ ijLOvdg TtQog dvdda TQOitov TtaQrjXXa- 

■2-> xtcci uovddt uovr] dLacpSQOvOa, tovtov xccl TtavTog 
STSQoarjxovg aC tcXsvqcci itQog dXXrjXccg dcaXXdooov- 



2. ETsgoarjyieg G — 7TQoar]KLg G — 5. 6. cog . . . aovddi 
om. P — 6. Svglv] dioocctg CS — 9. itcl Sv.] iorl' 6v. H 

— 12. 6 7tSQLG6og om. H — 6 ante aprtog om. GH — 13. 
T,r)g tov xctvzov S — 17. tSToaycovov P — 20. ctVTOvP — 

U8TS%SLV] SCVCiL SH — 25. UOVOV S TOVTO P TOVTCp S 

TTCCVTOg] TlCtVTL G TOV S 



110 NIKOMAXOT TEPA2HN0T 

6lv, r\ stsqu rrjg hsQug ^lovu6l [tovov 6lu<psqov6u' 
olov sxxsl^lsvov {lol ro^ cctco [lovudog 6vvs%ovg s%r\g 
uql&[iov sxXst^u^LSvog Idiu psv rovg 7tsQL66ovg 
ra66co sv svl 6tL%<p, idiu ds rovg CCQTVOVg SV STSQCQ, 
xul yivovTui {ioi dvo 6Ti%oi xolovxol • 

a, y, e, g, #, iu, cy, is, tg, t#, xu, xy, xs, Jcg* 
/3, #, g, 17, t, t/3, t#, tg, wy, k, ^/3, ^d, jcg, fcty 

4 «p^ ^f^ Ol3l> TOV TCOV 7TSQL66COV 6TL%0V 7\ {tovug 
6(iOySV7]g TS 0V6U XUL T7\V TOV TUVTOV CpV6LV s%ov6u' 

Olo ovts suv ts suvttjv 7toXv7tXa6Lcc6r\ STtLTtsdcog r\ 10 

6TSQSC0~g, STSQOLOVTUL OVTS ClXXoV OVTLVUOVV S%i6T7\6l 

rot) s% uQ%ijg, ccXXu ttjqsl uvtov sv tuvtco' to ds 

5 TOLOVTOV TtSQL uXXoV CCQL^^LOV SVQSLV CcdvVaTOV. TOV 

#' uXXov 6Ti%ov uq%sl 7] dvccg opoysvrjg uvtco ov6u 

XUL STSQ0T7]T0g XUTUQXTLXfj ' SLTS yUQ SUVTTjV SLTS 15 
U.XXOV 7toXv7tXu6LU6ELEV , £X6TU6lV TtOLEL, OLOV 

dlg /3, dlg y. 

6 "Chav ds 7) 

oxTuxcg 7] dlg 7) rotg, 
tcc toluvtu 6tsqscc 6yr\\jbUTu TtXLV&idsg XsyovTUL i6u- 20 
XLg i6ol sXuTTovuxLg' suv ds xul [isi^ovu tcc vt\)7\ tco 
TSTQuycovco 7tQogysv)\TUL, doxidsg ol tolovtol ccql&[ioI 
XsyovTUL, olov 

TQlg y sitTuxLg r\ ox.TU.XLg 7) svaxLg 



■ 



ify— 9ft 



2. [toi om. P, rjuiv SH — 6vvs%cog H, om, C — 4. 
TK66C0V S — 5. dvo om. S — xolovxol CSH — 8. ocq%sl 
P — 9. xr)v xov ocvxov P xr)v xccvxov S — 10. dionso H 
— iccv xs om. CH — ccvxwv H — 7iolv7t\cc6icc6cc6cc CH — 

11. SXBQLOVXCCL P 12. XOV f£ UQ%.] X7\q CCQ%. H — 14. Cck- 

Xov] sxBQOv S — <XQ%r) S — 15. sccvxov GP — 16. ccllr\v 
H — 18. 77 om. SH — 21. 22. xcov xsxQCcycovcov SH — 
22 ; ysvTqxcci S TCQoqycv. H — 24 — (p.lll)l. SittditiQ . . . 
fxovov] xsxQccxig rj 7csvxccy.lq rj s'S,ccyl<; r\ STCxccYig r] oeccYigovv 
[ioqlov vnsQ$. S — 24. svvccv.tg P svvsccYig CH 



API0MHTIKH EI2Ar&rH. 111 

rj o6axLgovv uovov VTtSQ^aXXovxcog ' s6xl ds doxlg 

ciQi&uog factxig ioog usi&vdxLg' oi ds ys 6cpr]- 

vl6xol r]6av avi6ay.ig avi6ot avc6axig xal oc xv(5ol 

i6ay.ig i6oi l6c'c/.ig. ccvxcjv 6s xcov xvficov 0601 TtQog 7 

5 xco i6ay.ig 1601 i6ay.ig slvccl sxl s%ov6l xccl xo aisl 

xaxaXrjysLv xaxcc %a6a.v 7toXv7t.Xa6Ca6LV sig xo avxo\ 

p dcp' ov7tsQ ?iQ%avxo, 6cpaiQiKol xccXovvxaL, ol d' 

58 ccvxol xal cc7toy.axa6xaxixoc\ SgTtSQ dusXst 6 aito xrjg 

s TtlsvQttg xal 6 dito xrjg g' o6cag ydQ dv av%r\6s- 

10 6tv ccv^rJ6co xovxcov sxdxsQOv, sig xo avxo 6vu7tSQcc- 

6ua dsl xsXsvxy]6sl Ttdvxcog , 6 usv cctco xov g sig 

ccvxo xo g, 6 ds cctco xov s sig avxo xo e' olov txsv- 

xdxLg s sig xo s xsXsvxr]6sL xal xovxo Ttsvxdxcg xal 

si 6S0L Ttttfav TtSVXttXLg xovxo Xttl US%Qig d.TtSLQOV 

15 sxsQa xtg xsXsvxr) ov% svQS&r]6sxaL, 7tXr)v si {ir) rj £, 
xccl dito xov g xov avxov XQOTtov r) g xal d.XXr\ ovds- 
uCcc' Sgxs xal r) uovdg dvvdusL 6cpaLQixr\ s6xl xal 
tt7toxaxa6xaxLxr] , xo yaQ civxo 7ta6%SL toiJto, chg 
sixog, Ttdd-og xo itsol xdg 6tpaLQcxg xccl xovg xvxXovg' 

20 SXSLVCOV yttQ SXaXSQOV , 0%-SV ttQ%SXttL, sxsl xal xs- 

Xsvxa TtSQLy.vxkovusvov xal 7tSQL6XQScpousvov. cog 
xccl ol Xs%&svxsg ovxol ttQL&uol uovcoxaxoL xcov dXXcov 
xcjv L6dy.Lg 16COV xaxa6xQScpov6LV sig xr)v avxr)v do%r]v, 



2. iaov P — 5. too] xb G — sxl] sl add. H — 6. 

TtoXvitXuGLOV P 9. OGUL P UV 0111. H 12. 13. 7Z8VX. 

?] x? add. S — 13. 14. v.ui xovxo . . . xovro] v.ai xovxo 
Tidliv nsvxuv.iq sig xo avxo xslsvxrjosi v.cci tkxIlv xovxo 
nBvxciv.Lq v.ai sl dsoL 7TuIlv nsvtdv.Lg xovxo v.al u,s%Q. C xca 
ndl. xovxov Ttsvxd-JL. v.ai slc, xbv avxbv xsXsvtiq6SL tiuIlv qv.s 
v.ui usxq. S v.ui xov Ttsvx. Ttul. qv.s sl$ xo avxo xsl. V.UL 
ttuX. xov 7tsvxdv.Lg v.ui usxq. H — 14. xovxo scripsi pro s {GP) 
— 15. si uij om. S 6 s CH — 16. o g C — 19. rb TtaQU P 
xco 7tSQi C — 23. iacov v.ui sig, om. v.uruGxoscpovOLV P — 
sig . . . UQxr\v\ slg xovg uvrovg S 



112 NIKOMAXOT rEPASHXOT 

o&ev rJQ^avto, Katd 7tcc6ccg tclg uv%rJ6£Lg' uXX* ccv 
[isv iitiitidcog dv6t dtcc6trj[icc6t 7tQ0K0il)C06L , kvkXlko k l 
XiyovtuL, cog 6 

cc, K£, Ag 
ix tov unu% a Kui rou 7t£vtuKtg £ Kui tov £%uKLg g* 
idv de tQtcc duc6ttj[iata £ico6lv rj iitl TtXiov tov- 

tCOV 7toXXuitXcc6LU6%C06L, 6(fULQLKoi 6t£Q£oi XiyovtuL, 

cog 6 

tf, QK£, 6tq 

rj uXXcog 

«, %K£, u6h$. 



XVIII LY}. Kul 7t£oi (l£V 6t£Q£C0V UQL&iKOV LKUVU iv tCO 

TtCCQOVtL KUL tUVtU ' i7t£L dl CCQ%dg tCOV oXcOV OL t£ 
CpV6LK0L Kui OL i% tCOV ilCcd-YjilUtCOV OQ[lc6[l£VOL tO 

tccvtov Kui ro £t£QOv Xiyov6Lv, aTtsdsfyfrrj dh to tccv- 15 

TOV \l£V V7tUQyOV6U r) \10vdg Kui 01 KUtU £Ld07tOLr]6LV 

ccvtrjg 7t£QL66ot\ TtoXv dh ituXXov ol ix tovt cov 6v6- 
6coQ£VO{iivcov 6vvL6td\L£V0L t£tQuycovoi cog ccv dr) 
L6otrjtog iv tcclg 7tX£VQcclg \i£ti%ovt£g, £t£QOv dh 
dvdg t£ xcci 6 vTto tccvtrjg £ido7tOLOvii£vog Ttug uq- 20 
ttog , iid,XL6tcc dl 01 V7td tovtcov 6v66coQ£vo\iivcov 

6VVL6tUll£V0L £t£QO\lY\K£Lg SlCC tO 7tQCQtYJ£ UVL60tY]t0g 






XVIII 

102 se 



I. lo. Phil. rec. I, vr\\ rec. II, [iy, fid. — lambl. 
:q. — Theon. 12—14. 17. 21. — Boeth. 11,21.22. 



2. y.vy.Ioi S — 6. xovxov P — 7. tioIvttX. SH — 
G<pcuQiY.oi~] xoxs praemittit S — 10. allcog] ndliv S 

f 

XVIII. 13. oXcov] ovxcov C — 16. sl G — 17. avrr)g] 
agi&uoi add. H — 18. avviardfjisvoi om. S — 19. laoxr\ra 
G — 20. sl8onoiov\k,svoi aonoi S — 21. xovxcov] -co P 
-ov H — acoQSVofxsvcov S -ov H — 22. did xo v.ai xrjg 
7tQ(6zrjg dvia. S Sid xb nQCOxcog xfjg dvia. C 



APIQMHTIKH EISAFP.rH. 113 

xccl itEQOtt]tog iv tr] toov 7tl£VQOov dtacpoQa uEti%£Lv, 

sn tovto anodELXtiov dvayxaLOtata^ itoog iv ducpo- 

rEQOtg rovroig oog iv ccQ%aZg xal 67tiQua6t dvvduEL 

itdvra rd tov aQL&uov idLoouatcc TtQovitoxeirai ei- 

5 dcov t£ avrov xal v7to8tatQi6£orv 6iz6£cov r£ 7ta6orv 

xal Ttokvycovcov xal xcov TtaQaithpCcov. txqoxeqov dl 2 

6ia6xalxiov r)utv^ t) duxcpsQH 7tQ0ut']xt]g dQifruog ir£- 

p QOprjxovg' ix£QOurjxt]g u&v yd.Q £6riv , oog TtQOEli- 

59 %&rj, 6 yLvousvog vTto cIql&uov rov uovd&L iavxov 

10 \JLEi\ova 7toXv7tXa6ia6avrog, olov 

6 g vno xov dlg y, 

6 l(5 VTto xov rolg 6, 

7tQoatjxt]g di E6nv 6 vTto dvo uev ccql&uoov diacpE- 

Qovrcov ouoCoog xal avxog yivouEvog , ov ur)v uovddL 

15 ys, dkkd uEitpvi xlvl aQi&uoo, olov 

dlg 6% r^lg g, XEXQoixtg >/, 
xal ol 7taQa7tlt]6iOi rco utjxEt TtQOitETtxooxoxEg XQOitov 
nvd xal v7t£Qfi£fit]x6x£g rt]v xrjg uovddog dtacpOQav. 
ouxot}v 6n uev ol r£r Qaycovot vrto rtvcov aQL&ucov 3 
20 lSlco utjxEL ut]xvv&£vroov yCvovxai , xavxov E%ovx£g 
xo urjxog xoo TtXdxEL, CdLOurjxEig dv xvQLoog xal xav- 
rourjxELg XiyoLvxo, olov 

dlg /3, r^lg y, XEXQaxtg d 
xal ol Ecpst.rjg ' sl dh xovxo, imd exxlxol Ttdvtoog xav- 
~>bt6tt]tog xal L6ott]tog^ Slotxeq ooql6uevol t£ xal txe- 
QaCvovtEg' to yaQ t6ov xal xo xavxov ivl xqotcoo 



1. nXs vqcov] nccXuLcov S — 2. uvuyAULOT. om. 8 — 7. rjy.iv 
om. SH — ■>/] xivi S — 8. STSQOurjY.SLg usv G — 9. xov 
uov. H— 10. noXXunX. H — 13. soxiy om.SH — 19. 
uql&ucov om. «S - 20. yivSTca C - xo uvto H — 21. 

— 22. olov om. H — 



nXcxTog tco ur\Ysi SH — lSlcou7]y,. G — 

24 b7tLdsLY.TLY.0l SH — 26. TO ttVTO H 



NICOM. ed. H0CHE. 



114 NIKOMAXOT TEPAIHNOT 

xccl coQt6\ievcp toiovtov' ort de xui ot eTeQO\ir\xetg 
uQt&\iot ovx tdCtp [irjxsi) cM 9 bxbqov \irjxvvd-evTog 
ctTCOTeXovvtat, eTeQO\irjxetg Te dtcc rouro xccl stsqo- 
4 TrjTog STttdsxTtxol uTtstQucg Te xal ctOQtCTtag. rf] ds 
uqu dt%o6TUTst xccl dtuvsvs\ir]Tut xul svccvtCu dXXrj- 5 
kotg tpuCvsTcct td ts tov UQtd-\iov tcccvtcc xccl tu ev 
xo6\icp 7tQog tccvtcc ditOTsXs6^svTu xul xccXcog ot 
Ttcclcctol cpvcjtokoyetv uQ%6\isvot vr\v TtQohrjv dtccC- 
QS6tv Tr)g xo6\io7totCug tavtrj itotovvTut' TlXcc- 
tcov \isv Trjg tccvtov . tpv6scog xccl Trjg &utsqov 10 
6vo\icct,cov xccl Ttultv trjg u\isqC6tov xccl del 
xcctu tu uvtcc s%ov6r]g ovtitug Tr)g ts ccv \isQt- 
6Tr)g ytvo\asvr\g , OtXoXuog ds uvuyxcctov tcc sovtu 
TtuvTcc si\isv r\TOt uitetQcc rj tcsquCvovtu r) tcsqccC- 
vovtcc u\icc xul uTtetQu, oxcsq \iullov 6vyxccTUTt%e~ 15 
rat eivcct, ex ltsQutvovTcov u\iu xccl cctisCqcov 6vvs- 
6tuvcu tov xo6\iov , xut stxovcc dr\XovoTt TOt) 
uQtd-\iov' xal yuQ ovTog 6v\iitccg ex \10vudog xccl 
dvccdog 6vyxetTcct ccqtCov te xul tcsqcttov^ cc drj t6o- 
TrjTog tb xul dvt60Tr]Tog s\icpuvTtxu TccvTovrjTog Te 20 
xccl eTeQOTrjTog TtSQuCvovTog ts xccl cctcsCqov coqc- 

6\ISV0V TB XUt CC0Qt6T0V. 

XIX td-. r 'lvcc ds xccl evuQycog itst6ftoj\isv TtSQi tcov 
Xsyo\isvcov , on uqu ex \iu%o\Jtsvcov xul svccvtCcov 

XIX. Io. Phil. rec. I,v#— gtf; rec. II, us. u?. — Iarabl. 
p. 102 seq. — Boeth. II. 22. 23. 



1. oxl ds Y.ai\ sxl ds CH — 2. sxsgqj S — 3. xfj 8s\ 
r) ds P ovxcog H — 9. YoaucortOLLag G — xavxrjv Ast. — 
mdxcov] cf. Tim. VIII (p.35A) — 13. ^tloXaog^ cf. Stob. 
Eclog. phys. I. p. 454 Heer. — dvayYrj H — sovxa om.G 
ovxct S — 14. ncivxct om. P, omnia quae sunt Boeth. II, 22 
— sliisv\ slvca P riiisv C m. 2. sl ulv H suusvcn T — 
18. ovxcog G — anag S — 20. sucpav///xtY.d G SY.qpavxiY.ee H 

XIX. 2+. ua%ousvov h«i svavxiov S 



API0MHTIKH EISAT^rH. 115 

6VVS6TYJ TCi OVTCC XOA SLXOTCOg CiQyLOVLClV V7ts6s%