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Full text of "Tractatus de intensione, rarefactione et condensatione formarum extractus a Gregorio de Arimino et aliis doctoribus"

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vniuerfaUs femg crtt vcra ft femg 
fozmctur cuins imcdiate poftiftas 
fnfintteeius fingularcs cruntfalfe 
ipatttocfft* vmncrfaliin quofo i 



ftattfuturo *>e* cr(t quottefcfictf fox 
mabi tur femp. crit vcra % tn imcoi* 
atepoft iftuo inftans tnfuiitcctus 
fingularescrutfaifcqtlnfinttain 
ftantia qne nuncfuntfutura imcdi 
atc crut pterita^c. £je quo fcquUc 
g> in aUquo inftanti infinttefmgu* 
lares fnciptut eflTe f alfe que imedta 

te poft illud tnftas erfit vcre. vt pa* 

tct oefingularibustllius vnfuerfa 

Us.£K quo fcquttur q iatuctpf t att 
qua ftngularis vntucrfaiis pcederc 
tis efle f alfa quc n5 iucipit ciTevcra 
necoefintteSvera. nec quacuqjoa 
ta tnf initc p:Uis incipicnt cfle faife 
$UIatinftnitepnu0 oefin&eevc 
re $ flla. Sinuliter aliqua vniucr^ 
faliseftimpofttbiUscutus imedia 
tepoft(?oc iftas iftntteflngulares 
erut verc:p5 oe ifta in nullo mftariti 
futuro oeus erir q eft ipdlTibiUe fup 
pofito cp inftantta futuracrunt tft 
imediatc poft tllnd tnftans infmite 
fingulares crut vcrctvt pdtet intuc 
tL& $ mMozi oeclaratfoe notadS 
e q^iftc^ppoe» oeimcdiateficpofi! 
f unt ejrpont vt ifta imcdiatc p^ r?oc 
inftasifinitcnngutarcs crut vere: 
tic poft r?oc inftas inf initcftngula^ 

res erut verett nullu crit iftSs poft 
i?ocinftlsquinintcriU«dtr?oc in 
ftas infinitcf/nguiarcscrOt vere x 
fic p5 qmUt talcs pilt t>ici vcrc. S $ 
vraiiqnaquep:ius oictafijtfintno 
bis magte manifcfta af paliqua. 
£t piio volo 4>bare «pmilla fotma 
c6tinueintedatur.q:feqneretur cy 
aliquafo:macctfozmaiufintta:co 
fcqucs cftfalfnigF- ^aa ^batur. et 
voto # fit tempus vnt*> l?o:ccui^ in 
ftans initias fit ai terminaus fit b 
tncaFftetefnfmttfi minozpars al 
bedinis cyl?cctotaalbedo accjftta 
l b f uf t poft a : ergo r>cc albedo acc| 
fitai b einfinita^baf pna q: cJUbj 
parsalbedinis acquifitapofta cft 


















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aHeutfmaguitudia intffiucttnift 

nirfi aliq e minoziQit illae fnf infta 
^batiuansqtpiufcpi duplo 3ltqu3 
E3 albedia acijfita pofitaemtot q> 
toraalbedo: tgtf uegalima. E»ico 
tn <r bu fequif i ifinttu attq pars al 
bedis acqutfita p 9 a:c minot ergo 
f?ectot3eiitiffnitfi mato:. fi££tff 
dicantr eotra bft fecjtur f fta albedo 
ifntfcutfi matozipiUaeaergo to 
taeinftttita&ico q>ft illacapiafre 
I atiue tp l vera i fupponit cof ufc tm 
U «o valet on4.fi capiatur demon* 
ftrattue bnfeijtut f^ ficitt onB e flm 
ttatansif /tonfeqnter arguif vU 
toendo <pbare ep oiafozma etibtlic" 
gdit a to vel foabutt vltiroii inftana 
fuiee\£targufturfic.fo:maptfbili 
terpoitatevelbabtitt vltimiiiftaf 
poft q$ no quodtj ei* f utt : aliq> tfi 
eiua ratt boc ert£ fuppofito e vua^ 
c6ctuftoncfup*u3 pofita, Srguitur 
ftc.aliquags illluafozmepoftiUuO 
inflaano fuit?aUqfuit:tticcapf3E 
fUa psqpoftiUud inftas nonfuit 
tuciftaparafniftatiafnit zpoftea 

n5fit(tcrgot>5vltimti inftaafui el 
Kefpondctur cg allqua cntiraoftli'' 
founecritpoftaxaliqnoertr poft 
a/ficut illa fo:manon*eric. £>tco 
tamenq» null3 entftaa illtua foz^ 
meeftinfnftantiacuwd nkbil fir 
poft a imo cuinfl^ etitatie ipiue foz 
me t a eziftette erit aliqnid p* &%>i 
covlterutsfpfmpoiTibile gpctfe fn 
mereetitatSiiliuafoimeq imedia 
tc no crlt poft a£t ff mf Uf ipolTtbile 
l fumere tota critae foztne a q pcife 
erit imediate poft boc mftls.q: tm 
polTtbilceTigmfieare martma pte 
i\lv> fo:me a q erit poft tlluo inMs: 
qznuUaertt talia. flfGecundo fic 
adidex voloqtf ftt altqd coipus pu 
ta a> % volo g> rnultf plicet fua fpem 
vfq* ad fpeculu i martma Oiftatia t 
qua pot ita 9 caufet fua imaQtnU 



fpcculo x ponatur ty tn iftati icipiat 

eldgaricoriuueafpeculo tucfcquir 
<y i iiio iftdtt tlla imago c % poft non 
eritcuinopofftt traaiozt otftautfa 
caufarc cf Riioctur q> ftl$ argume 
rii l?50ubti:paot>einiagiecGmul* 

u negent ralcs ima^fnea z oiciit <y 
fiit vereres.guco vltcrt^ <y no coa 
remajeimaoiftantta t quaaliquod 
agca poc agcre. i'5 bn mima (aQua 
ndpStqcftmaioiqualj dtftattatn 
quapot.-erquo fequU cp noeoabf 
lia aliqua diftacia i qua a^cs pofttt 
qui matoze poiTir. 1 f ic non I?3berur 
vltimu tuftaa imaginiaif^bene p:f 
ma inftas no eflle qd cft tnftaa i quo 
p:imo guenit ao intma oiftantia iq 
nopor.^rcvoloq^fitaliqdvifibile 

in martma otftantta in qua potcft 
vioerivolovlteri^ g>icipiat cloga 
ricotinue aboculo.notucftq^ vifio 
in mftatii quo viftbile incipit elo^a 
rieft^imeoiate poftbocno erirer 
go !?3bebft v Wmu inftas fut ecjXcf 
ponoetur g akqtiad tppofttfdea.ft 
p:io poniturvna otftictto ^ quaom 
pltcifi potimaginari otftatiaiqua 
agcg ajtt % paffu patitur fctl^ mari 
maiquapot maj:fmaiqua up pot 
mtmaiquapoc:mima inqno pot. 
Cucponuf aliq jppodtioc^rima 
*ru3 agcti5finirfq6a0fti3Uqua 
offtarfflctpotagere imfnote non 
rmiatur ao martmfi i qd pot vtX»^ 
poztatf ua fottia no fmiawr ao ma 
rtmupoousqdfottes pot ponare 
^niftaficerpouitur:fo2tc0po2tat 
marimfipoous -rnopotmaf^pozta 
re tUa Ccfaefalfa eu ^riis po:tatt# 
uafozti6erccoat^tu5rcfiftiua paf 
fi feu ponderf % no \ ioiutfibili igii 
StmUiteroieaturOcviftbUf ty nb 
eftoauda marima diftanttai qua 
vifibile pot vfocri Bnoc ifta fic e%* 
ponitur. vtfibile vfoerur i marima 

oiftaotfa.i.vioetur inmagna oifta 






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tf a.f no pot vioerl i malozi et ifta fc 
ciioaeftfatfa Tebocfoluiturargu 
mcrfi.£ft tti aouerrenou g> ,p viftbi 
If ponimr ta'te ,ppofttfo.?2>abill3 € 
matfmaoiftartatqua vtftbilepot 
vioerf etbocqttvlftbilercceoit ab 

oculo.&anoa t etla mimai qua tto 
poteft aecedeioo ao oculii. G5 no 
€031103 matima iquapotnecmi* 
ni ma i qiu pot «f £c$a .ppofio no 
cfl o3ftoa mattma oiftantta iti qua 
agena pot agercabocloquoooc a 
gente pito mooo ^n iftaftc ejcponi 
tur.foztes tio vtoet £ magna oifta* 
tiam poteft vtOere p maioze vel foz. 
nue no pot poztare boe podu^ x pot 
pozrare maiug. ffjCerria $po nott 
cfi oabfltemnnmaiftantiafu qua 
agena poragerequeftcctponitur 
ffta vtrttia pot in illa offtantta x no 
pottuminozi c£i2t'urta piopoft* 
tto.vlrnmctma termina! ao mmi 
mu tn quo no pot 1 05 fic etponi no 
porfnboczporin quolibet muiu3 
£tfumlitcroiea? oe poreuria palTf 
na refifttuafeo 110 oe po*entf a purc 
p3fliuaquiaiU3nouv;oetur rermi 
nart.£tpcrboepotfoUtt argumen 
tum.tfSeo rcftat pariiuou-num 

vrrualiquoo!ucdapofTtti quolib? 
medtum o/fpotffu que If b$ gradu m 
circa gradu fumu cauforc. TXefpon 
fcerur bzeuircr q> noirqz cap:E illud 
ItimSz captrur lumen qtf eft in fumo 
vPcrgoilludqdcftin fummo ejxc 
dit aliud vf non-Sierccdac vel er/ 
«0 eteedit crceffuofutflbfU vcl in* 
diutfibili. (i oiuiftbili er$o feqiiftnr 
quod potuffl"* $dncl Umitntenfus 
citrafumufietccdatincjtcciru in* 
df/ufibilt.sCoutrauuU^taUs nec 
taUs cft"e^ced?rc-iboc eaptedo pzi 
ma ^pponc* iu feftt copofito. iRa ifta 
everaquclt gradu cftrafumQ coi* 
pua lucfdu p5t 4>ducerc f n \)oc mc* 

dHj.Sjifta eftfalfflpoffibilec-que" 



Ifbet gradu citra fumB 4>ditcerc iii 
fyoc meoium. t£ ijbzobatur pntercp 
fit oabilc mintmii tn remiHtotteqi 
fi ao fequeretnr <p fozma poflct re* 

iiutriiiimfiuirii fcd boccfifalfum 

P5 ona quia cptumcuq^remUtatur 
adbuc ertt altquid rcmtrtendum» 
C£2fttDenir p atiquas .ppoes.ijM 
ma-fozma poteft fimplicucr rcniit 
ttiniftnitu.i.Bpcruo % ctnaliterct 
bec ^jpofttio ^baturlHa dc*?potcft 
DcftrucrcmeoictatSIatituoinis iit 
tenfe altcui* 7 fozme fn vna f?oza : xl 
aUaboiaitKdteratgmeofetatte ct 
iteru tn alia boza meoi ctate medic 
tatis % ftc tn ifinitu- £ ScSa ^ppofi 
tfo.fozrna nopoteft inifinitftrcmft 
tiQa$ensmturalc q ^pofltio fic 
^>oarur:qzft agensnaturalercmit 

ta t fozma i aliqua J2te tpts remittit 
alfquapartffiUFfbzmeifncqli pte 

tpia rcmitttt totavelmaioi? ficq» tl 
la remiflto imtatur. ff^crtia ^>po 
fitio.i remifTioe fo:mc nSfy £ oeuc* 
ntcdii ad remiffnm neq$ ad idttii fi+ 
biIc.£rquo feclrurq^poftquab rc 
mifTacrcmiiTio: tpoftquod^tftas 
in quo l f ozma rcmtffa eft adfpuc rc 
mifltoz. £t quo fec\cur f m cozzclari 
um <p no e dare inftaa iu quo fit re 
mifTii fy ex ifto no fe^rut q» rcmflTio 
ftatiinfinittuLctcrnalner (Bcd ci* 

to ftnictar puta in tllo inflati i quo 
pzimo nfcbil fozme erit £t fimf liter 
dicatur demotulocalttde fpacfo 
puta q> no i darc ttunimu fpaciu et 
refiue f^^rearguttur fic dabtlis e* 
aliqua afbedo inaliqprc fubiccrt 
f/c^noporeeimtuoztptc fubfecri 

crgoalicui 9 fozmc itcftbiltovclrc 

milTibis crf t dare minimui^zo fo* 
lutioec aducrtenou ^minfmu ali 
cul 9 foime pot capt dnplicftcr. vno 
moOo cp fxcl paruu cp tn talt fozma 
Pin intentbnl no pot cfTe mfn ,? : x fic 

non^darcmutfmu alfcutuo fotme 





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I tC Abftrf rcmifibiraifomo $ fic e" ftla c5t f aIfa.1fU ttle gradua 4 * ** 
Diui cp mln* co fcozfu z otuifim no ftanti ^dncimr no puus f irtt ncq* 
pot ejctftere * *>c ifto £ cotrouerfta. atiquid etue. ff Brsuuur fic vole* 



^iclt ent gregoztus cp fic oabtlc e" 
miutmu.vioeEtu fcot* i fcdo otce* 
reoppofitu.oicit eni q> [5 acttoe fit 
oaremimu nb tu ejtiftettatBboc 
folutf argu metii.£t ,p malozi' oe* 
clarattoe aliquo? f:ip:adtctov po/ 



do ;pbare q> altqua fozma gmanes 
|?abeat vltimu tnftaa f iit e&i capto 
vnitvtfibiletrtcubttfii volo <p tUtt 
opponaf oculo fie. videl^ cp vrta e* 
vocetur 3 % alia b.t alia c. volo vtte 
riua q»foIu3TbopponafocFo xno 



nttvnaresulaq>qngmot*abvua c.notueft cpaalteripti oculioppo 
fozmacotrartalvnafozmaptrari nttttrq>b.ergofntUa£fe oculicau 
fl5tillactibilte cozruptfzaliaeti fabitvifton«quab.tQcvoIo«yiUud 
bilif gencreH tuc crit oare vlttmu I tricubttu motteatur ad ocjrtra par^ 
ftiiGfozmeptioziaiquoeritveruOt te.£6cficvelapofttUud tnftas tn 
cerc bec fozma tota nuc l % poft f?oc quo tncipit mouerlvtdetur vel non 
tota no erin %iW6 iftaa e vlttmu tn* Si 110 babeo intetfi <$ etus er it oa* 
filieno ccfozmcgcncradepurain revIrimufnftaa.Stvfdeaturvrer 
quoniel?tl et^etpoftqtfimcdiatc 50 viderure vifione qua videtur b 
aliijd t&triu Sjoubiuevtrui tali velcalia.lHoperilla quavtdctur 
motu fit trafit e media qz vtdeE of b.qz vifto vnfus rcf nb cft vifio alrc 
cere ariftot elce <$ no pot f iert trlfi rius ref .THec g aliS qz majric eet g 
t* oe ^rrarto i 5rtu nb trafendo per fuamct vf fione.f5 boc eft f alffi qz nb 
tnedta. RndeE ad ill6 q» 05' Itelligi plus opponttur illi partt ocft i quo 
I motu loealf 1 boc naturafr£t aoii crttviftomec e ibt Iinea opameti a* 
te q> qn alf cfc mouef localtf oe e?# tte opoztet ergo oiccre cp tlla vffto 
trcmotc^trcmfifupplenaturaliter trafmuraturoefubtceto l fubieetn} 
trafit oia mcdf a tn no c oarc pzimii fTlp>zo folutioe ponu tur alf que 9 
vrmtutmu medtu ficut UC5 trafcat poee.^gbztma. vifio cft fozma cjcteti 
olamcdtafpaciaitftnullfiepzimut fibiltsqreciptrurtnpotcntta fenft 

tnimu fpatia ncc 1 1> are iftas tn quo tiua q cft e^cnffbilie. CT ® c6 ^ X* 

pzimo ^uenit ad alfqtf medtuBeo pofttto.ql5 pars rei vtfe emtfat fnS 

oubiii evtrti i altqno tpe altq fozma vifionl in potitia fenfttiua no quf * 

cottnue acquiratar oonec ad iftae dSvnaergfnvnactc taltapara i 

flTfnfllo inftatf ^(tocatoe^vnum alfapartc/fsqlibet vifto cuiuflibet 

gradfi.vtr6tlla fozma oebeat oicf partfaretviferedpitur tntotapo^ 

CtibiUter ac^fita vP imettbilt^ vel tentf a fenfitfua. £]c qno fcquftnr g? 

vtrubabcatpzimuinftasfui e€vel vnavifioineodJnocftmagiflcrtc 

no.&efpondetur brcuf ter q> oe flla fa q» alfa Ucet vna fit extenftoz % 

vcrfigoiccrccVettmptibilffacdra alta. (£'g:ercit!i t ppo\ficvtretvt(e 

tnr t£ttmtmEttbUiter.x fc^mf?oc fnntfnftnftcpartea fecunotl exten* 

t»ebet afpict quale iftla 05 ftbt oarf fion£ : ftc ipfiue viffonid funt inf fni 

ffcot vicicy illa totafozmat?5 pzt^ tepartes ciufdcm pzopoztfonfs fee 

mu infta6 fuf el afi quliita totano atndum tntcnfionem xcquatca fc*« 

fuftf* no 05 t>ici afi q$ aU4d cl* ct cundum ewcnftonem. quta quclti* 

cuiufl5 q* eft altqd elua pf ucrit qz bet pare pzopoztionabllie viftbfUg: 






, 



eattfat vfffottcmf n toto ocnlo ft3'$ 
vtfio matoiis partis vifiMis erit \> 
fcetioz.£vquofcc|turfoIutio argu 
metl cp rale3 viftocs pnt fuccefltue 
rcmitti.T t$o qh a reoaetur ab oefa 
ti*> vifio fucceffmc oepdf ita q> poft 
eano itapfectcvtdel; S^rcftatvna 
gunoifficult3fl.vtrCifo:m3q remtt 
ttrur fuceefliue ftt itcftoz i quocfiqj 
inftantf q>critpofttuquocunq5 in/ 
ftarf qtfpot occlarari g ptacttca. % 
arguaf w no.qz vUeet g alique gra 
tm pctfe quibaberetiilloiftatt vet 
P nlcbtl fjiiuUulito^eOicedfi igf. 
JSftoef g altqnas ^poes. ijbnafoz 
ma q remtttitur e* fq> tntcftoz i quo 
Itbct iftatt g> erft g* tll6 iftaa £5ctfa 
#po.fo:ma illa no e fic ft€f(o: t inH 
tu2:ercia,|)pa per nullfi gradu ptf 
fe c inrtcfoz $ crf t tmediate p* boe 
inftasp^qzftgueturtUudper qS p 

clfc e intcTtoz ifit a tuc p* tuftas nfi 
cpaerttpcife pdttu crgo nficperftt 
remiffioz-Jtem tpcimediato poft 

timnflAs nicbil cft flli» pcrdita er 
0oeritftatntcfaztHut>p5r oeda* 

rari pcr Wc fSit cni aliqS cozp* cu 
bttalc f u& fpaeium fibi cqle q6 (it a 

t Icipiatmoncrt^fus altlotf part8 
fpacffqfibb.tfitotftatlaine atb. 

f uov cubirovlpoc pofito i bocifta* 
tt i quo boccozp* tovlrimu cjcrff ei 
sicfpftmoucricorinueX'fiisb cox* 
pue motu I55 torii fpac fi 9. t imedia 
tepoftbociftaanonbebit bocrotS 
fpaciu5a.b5tnali<id fpaciia.ergo 
ali(jo oe fpacio q6 no babuit p*>boc 
M& f>* cttam a!f <f d oe fpado a qS 
babutr. £t ofco q> nkbil a b* n«c oe 
fpacioa.cui c nict?tt babebitp*boc 
inftfomec potfumtqdpctfebabuft 
q6 poft imcdisitc no babebitmec ta 
leoCuouir.fitOiVOicaEccfozmaq 
corfnue rcmitttf vtdeh q> in iftaftc" 
intcfioKZ imediate poft f?abebi t aU 



<Jd qS babuit in f ftatf t alf cj d c defi 
bitu qd pcife no eft oabile:ncc oeus 
nouit iHut>.T[S>:o matozioeclaratio 
neaItquo9itip:3dtctc? mouentur 

attquc parne oubitatione3»ctl^»"t 

ma-vtrum atiquta Iapis que To:tea 

por poztare pofTtt t atu augert iv nd 

pofTit plu3 portarc.£t arguic q» no 

qzcapiotlludtp3inquofo:tc0 pot 

po:tarclaptde:i capto tpa i quo no 

pot poitarert capto inftas cotinuaa 

Ulaouotpa.vFergotn tUo tuftanti 

potpoztarevel non: ft pot po:tare 

crttoabilis macim^tapfaquc for. 

potpoztarclRecc oicedu cp no.q: 

fcp fo:tcs aii i\\$ inflas potuit poz*5 

tarcr^tnact^in tllotftatinoco^ 

miwta x nicfyil lapidf s e hc q$ pzP 

n5 fnit i$r ♦Rfiocf q' i itlo iftati non 

p5t tdo arguinetu bn 4>bat q» e oa* 

remimfiiq^ no pott x>ico q^t tllo 

iftatt lapte e aucms.tnu^pzi^ftc 

fttit anctu3.vt , nrtq' piius futt tatus 

iHcccftoabflis graous pcifc p qu« 

fuitmctnstnecoe^cosnofcttqz ni 

cbil&tfpofftbtleSoarc tatcgradn 

CfScda bifficnUaovrru altq6 vifi 

btleq6novtdetur pofTtttmpttnue 

augicriqfipoftea pofTitvide:i : aar 

cpnoqtcaptaHllfitpsiquonopot 

videri ttpa Cqtto potvtderuT iftag 

corifiuas ilfa ouo tpa vV in tllo ift3 

r i vidctur vcl no :no i tHcidd no/qi 

eflctoabilcmarimiiviftbtleqtS no 

por.ncc c x>ic£du q» poff it.quta cffet 
oarc mtnimumvifibilc in qd potefl 
qdcftfalfu.lHIftvirtuevtftua pof 
ftrtnaliquoopotadbuctn minozi; 
mdef q> in tlto tftati no vtdetnr vt 
* pofteavfdebF. E»tco vlterius cpi 
Oabilcmartniftvtfibileq5no pot. 

qdDotfatisofteot B^ta^pofcnoia 
cndcdo poictozia fuccefliue oc eo* 
oevcrif icari x ifta ftibtilif ont afpf cl 

£t^> roaiozi oeclarationeponuw 





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aliq pponce t»c marfmo t mini mo 
^ztma^pS.nocftoabtlemajcimu 
tps c qtf alfqtffuturfi potecfuturfi 
vr no c oabilc rnatf mfi tpa |> qt5 ot* 
esiudtclfpoceTutur^q: illo tpe 
oato pftt oari maf * i$ f f iiiti no crit 
ma;rfm5.fl'f5ct$a 41po.no eftoare 
miuimfi fps p q6 oies f udtdt no po 
tefteefurar*.nafic crponif.oabtle 
caliqdi)imtp0lquooic6uidicti n 
por ce f utur*:t I mtozt pot cc futur* 
£je quo fcc\t cp no g oabtlc tps ma* 
jctmfi p qi3 potcrit e5„f 5 bn € oabtle 
minimfie q6n6poteritec\£;e quo 
fccjmr vltcrt* # no e oabilc pzimu^ 
litfiae f uturfi in quo tu porerio efle 
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