s. "1 1^. 3 . d ’ ^ . I / I ■ V PHILOSOPHICAL TRANSACTIONS, GIVING SOME ACCOUNT OF THE Prefent Undertakings, Studies, and Labours, OF THE INGENIOUS, IN MANY Confiderable Parts of the WORLD. VOL. LXL For the Vear 1771. PART L LONDON: Printed fbr L O C K Y E R D A V I S, iil Holhourn, Printer to the R 0 V a l Society* M.DCC.LXXIh / A * f ADVERTISEMENT HE Committee appointed by the Royal Society to direct tthe publication of the Fhilojophical Strajifa5HonSy take this opportunity to acquaint the Public, that it fully appears, as well from the council- books and journals of the Society, as from repeated declarations, which have been made in feveral for- mer ’TranfadlionSj that the printing of them was al- ways, from time to time, the hngle a£l of the re- fpedive Secretaries, till the Forty-feventh Volume, And this information was thought the more necelTaryi not only as it has been the common opinion, that they were publifhed by the authority, and under the di- rection, of the Society itfelf j but alfo, becaufe feveral authors, both at home and abroad, have in their writ- ings called them the T^ranjaFltons oj the Royal Society. Whereas in truth the Society, as a body, nev’-er did intereft themfelrves any further in their publication, than by occafionally recommending the revival of them to fome of their Secretaries, when, from the par- ticular circumftances of their affairs, the TranfaBioiis had happened for any length of time to be intermitted. And this feems principally to have been done with a view to fatisfy the Public, that their ufual meetings were then continued for the improvement of know- ledge, and benefit of mankind, the great ends of their firft inftitution by the Royal Charters, and which they have ever fince Readily purfued. But the Society being of late years greatly inlarged, and their communications more numerous, it was thought advifeable, that a Committee of their Mem- bers fhould be appointed to reconfider the papers read before them, and felect out of them fuch, as they a 2 Ihould ADVERTISEME NT. /hould judge moft proper for publication in the future Tranfatiions \ which was accordingly done upon the 26th of March 1752. And the grounds of their choice are, and will continue to be, the importance or fingu- larity of the fubjedls, or the advantageous manner of treating them ; without pretending to anfwer for the certainty of the fads, or propriety of the reafonings, contained in the feveral papers fo publifhed, which mu ft ftill reft on the credit or judgment of their re- Ipedive authors. It is likewife neceflary on this occafion to remark,, that it is an eftabliftied rule of the Society, to which they will always adhere, never to give their opinion,, as a body, upon any fubjed, either of Nature or Art, that comes before them. And therefpre the thanks, which are frequently propofed from the chair, to be given to the authors of fuch papers, as are read at their accuftomed meetings, or to the perfons through whofe hands they receive them, are to be confidered in no other light than as a matter of civility, in re- turn for the relped ftiewn to the Society by thofe communications. The like aJfo is to be faid with regard to the feveral projeds, inventions, and curio- fities of various kinds, which are often exhibited to. the Society j the authors whereof, or thofe who ex- hibit them, frequently take the liberty to report, and, even to certify in the public news-papers, that they have met with the higheft applaufe and approbation. And therefore it is hoped, that no regard will here- after be paid to fuch reports, and public notices ; which in fome inftances have been too lightly cre- dited, to the dillionour of the Society. CON- CONTENTS T O' V O U LXI. I, J^E MARKS upon the Nature of the Soil of Naples, and its Neighbourhood in a Letter from.the Honourable His Ma- jefly’s Envoy Extraordinary at Naples, to Mathew- Maty, D, Sec. R. S. p. i II, ExtraSl of another Letter, from Mr. Hamilton, to Dr. Maty, an the Jame SubjeB, p. 48 III, A Letter from Dr. Frankly n, F.R.S. to the- Aflronomer Royal 5 containing an Obfervation of the - Franfit of Mercury oroer the Sun, November ^tb 1769 : By John Winthrop, Efq, F. R. S. Hollifiam Frofejfor of Mathematics and Natural Philofophy at Cambridge, New England. p. 5 r , ly. Obfervations on the Heat of the Ground on Mount Vefuvius ; By John Howard, Efq\ F. R. S. Pf'53,; V. D^"* VI CONTENTS. V. Defcription of a Bird from the Eaft Indies j in a Better to James Weft, Efq^ PrefdetJt of the Royal Society j from Mr, George Edwards, F. R. S, P- 55 VI. u:dn FxtraSi from the Regifter of the Parijh of Holy-Crofs in Salop, being a Second^ Decade of TearSy from Michaelmas, 1760, to Michaelmas, j 770, carefully digefed in the follovoing Table y by the Rev. William Gorfuch, Minifer of that Parijh. . _ P* 57 VII. A Letter fro?n Mr. Stephen de Vifme to Mathew Maty, M. D. Sec. R. S. containing an Account of the Manner, in which the Chinefe heat their Rooms. P* 5 9 VIII. An Account of the Kang, or Chinefe Stoves, by Father Gramont, tranjlatedjrom the French, p.6 1 IX. Account of a ronarkable Thunder Storm : In a Letter from the Rev. Anthony Williams, Rebfor of St. Keverne, in Cornwall, to the Rev. William Borlafe, D. D. F. R. S. P* 7^ X. Explication of an inedited Coin, with two Legends^ in different Languages, on the Reverf 'e. In a Letter to Mathew Maty, M. D. Sec. R. S. from the Rev. John Swinton. B. D. F. R. S. Cufos Archivorunt of the Univerfity of Oxford, Member of the Academy degli Apatifti at Florence, and f the Etrufean Academy of Cortona in Tufeany. p. 78 XI. Remarks upon two Etrufean Weights, or Coins, never before publiffed. In a Letter to Mathew Maty, M. D. Sec. R. S. from the Revcrcjid John Swinton, B. D. F. R. S. Cufos Archivorum of the Vniverfty of Oxford, Member of the Academy degli * In Vol. LII, Part i. Art, 25. fee the Firjl Decade. Apatifti CONTENTS. vii ApatiftI at Florence, and of the Etrufcan Academy oj Cortona //z Tufcany. p. 32 XII. Interpretation of two Punic Infcriptions, on the Reverfes of two Siculo-Punic Coins, publified by the Prince di Torremuzza, and never hitherto explained. In a Letter to M. Maty, M. D. Sec. R. S. from the Rev. John Swinton, B. D. F. R. S. Cujios Arcbivoriim of the Vniverfity of Oxford, Member of the Academy degli Apatifti at Florence, and of the Etrufcan Academy of Cortona Tufcany. p. pr XIII. Extradl of two Letters from M. Meflier, of the Royal Academy of Sciences, and F. R. S. to M. de Magalhaens, on a new Comet : Fran dated bv Dr. Bevis, F.R.S. p. 104 XIV. Defcription and XJfe of a new conftriiSied Equa^ torial Felefcope, or portable Obfervatory, made by Mr. Edward Nairne, London. p. jq^ XV. Experiments to fhew the Nature of Auruni Mofaicum : By Mr. Peter Woulfe, F. R.S.^.ii^ XVI. Account of an extraordinary Steatomatous Fu-. mmir, in the Abdomen of a Woman, by P. Hanly, M. D. Communicated by Charles Morton M D Sec.R.S. ' p/131 XVII. A Letter from Dr. Ducarel, F. R. S. and F. S. A. to Dr, "\Villiam V^atfon, M^, D. and F.R. S. concerning Chefnut Frees-, with two other Letters to Dr. Ducarel, on the fame Subjell. p. 136 XVIII. Copy of Mr. Thorpe s Letter to Dr. Ducarel, concerning Chefnut Frees. P-152 XIX. ExtraSi of a Letter from Edward Hailed, Efq-, F. R. S, and F.S, A* to Dr> Ducarel, con^ cerning Chefnut Frees. p. 160 XX. A‘ viil CONTENTS. XX. A Letter from the Hon. Daines Barrington# F. R. S. to Mathew Maty, M, D. Sec. R. S. occa^ fioned by the three preceding Letters. p. 167" XXI. An Account of the Nyl-ghaUy an Indian Animal^ 7iot hitherto defcribed : By William Hunter, M.D. F. R. S. p. 1 70 XXII. Obfervations on the Aphides of Linnaeus, by Dr, William Richardfon, Ripon, Yorkfliire: Communicated by William Heberden, M. D. F. R. S. p. 182 XXIII. Meteorological Obfervaiions at Ludgvan in Mount’s Bay, Cornwall, 1770: By William Bor- lafe, D. D. F. R. S. Communicated by Dr. Jere- miah MHles, Dean of Exeter and F. R.S. p. 1 95 XXIV. Dfcription of a ?iew Hygrometer : By Mr, John Smeaton, F, R. S. p. 198 XXV. Letter from Mr. John Baptift Beccaria, of Turin, F. R. S. to Mr. John Canton. F. R. S. on his fiew Phofphorus receiving feveral Colours^ a?td only emitting the fame. p. 2 1 2 XXVI. Some Remarks on the RffeSis of the late Cold in February laf : in a Letter from the Rev. R. Watfon, Fellow of Trinity College, and Frofejjor of Chemiftry at Cambridge, to Matthew Maty, M, D. Sec. R. S. P- 213 XXVII. A Letter from Thomas Barker, Ffq-^ of • Lyndon in Rutlandfhire, to James Weft, EJq-y Pref. R. S. concerning Obfervations of the ^lanti^ ■ties of Rain fallen at that Place, for feveral Tears, p. 221 •XXVIII. A fecond Letter from Mr. Barker to the Prejidenti on the fame SubjeSl', together with the Deter mi* CONTENTS. Determination of the Latitude of Stamford, in Lin- colnfliire. p. 227 XXIX. Ohfervations on fonie Bivalve Infedis^ found tn common Water ^ by Mr. Muller, of the new Aca- demy of ScietKes in Bavaria, and'the 0cco?2omical So- ciety at Bern ; cotmnunicated by R. H. A. Bennet, Efq\ F. R. S. . ^ p. 230 XXX. A Letter from the Rev. M. Lort, B. D. F. R. S. contaming an Account of a f ngular Fif:^ from the South Seas, by the Rev. Mr. Michael Tyfon. p. 247 XXXI. An Account of Elden Flole in Derbythire ; By J. Lloyd, Efq-, with fame Obfervatiom upon it, by Edward King, Ffq-, F. R. S. j in a Letter to Mathew Maty, M. D. Sec. R. S. p. 250 XXXII. An Account of two new Tortoifes ; in a Letter to Mathew Maty, M. D. Sec. R. S. : By Thomas Pennant, Efq\ F. R. S. p. 266 XXXIII. Meteorological Obfervations at Caen in Nor- mandy ; 1765, 1766, 1767, 1768, 1769: By Nathanael Pigott, Efq-, F. R, S. Communicated by the late Dr. Bevis, F. R. S. p. 274 * XXXIIl. Nydlanthes elongata, nova Planta Indica, qua?n, deferiptione atque icone illufrata^n, illufinf- fimce Societati Regiee Londinenfi reverenter off'ert Petrus Jonas Bergius, M. D. Suecus, R. Soc, Lond. aliarumque Societ. Membr. p. 289 XXXIV. Account of a Mole from North America : In a Letter to Dr. Maty, Sec. R. S. fro77i the Hon. Daines Barrington, F. R. S. p. 292 XXXV. Letter from the Hon. Daines Barrington, F. R. S. to William Eleberden, M. D. F. R. S. giving an Account of fo7ne Experi7ne72ts tnade hi^ VoL. LXI. b North X CONTENTS. North Wales, to afcertain the different ^antities^ of Rniuy which fell in the fame Time, at different Heights. p. 294 XXX VI. A Difquiftion concerning certain Fluents, which are afjignable by the Arcs of the Conic SeBions ; wherein are invefigated fome new a?id ufetul Fhe- orems for computing fuch Fluents : By John La n-- den, F. R. S. ' ”p. 298 XXXVII. A Letter from Mr. John Reinhold Fonder, F. A. S. to the Hon. Daines Barrington,. Vice-Pref. R.. S. on the Management of Carp in. Polifh PruOia. ’ ' p. 310^ XXXVIII. A71 Account of the, remarkable Cold cb- ferved at Glafgovv, in the Month of January,. 1768 ; in a Letter from Mr. Alexander Willbn, Profeffor of Ajlrcitomy at Glafgow, to the Rev. Mr. Nevil Mafkeline, B. D. F, R. S. and Ajh'onomer- Royal. p. 326- XXXIX. Sojne Experiments on PutrefaSUon j by F. L. F. Crell, M. D. and Profeffor of Chemiftry at Brunfwick. P-332 XL. Obfervations upon Five antieiit Perlian Coins,, fruck in Paleftine, or Phoenicia, before the P)-ifflu~ tion of the Perlian Empire. In a Letter to Matthew Maty, M. D» Sec.. R. S. from the Rev. John Swinton, B. D. F. R. S. Cufos Archivoriim of the Univerfjty of Oxford, Member of the Academy - degli Apatildi at Florence, and of the Etrufcan Academy of Cortona in Tulcany. p. 34^ XLl. A Letter Richard Plill Waring, Efq', F. R. S. to the Hon. Daines Barrington 3 on jome Plants, found in feveral Parts c/’ England, p. 359 XLIL^' XI 'CONTENTS. XLII. A Catalogue of the Fifty Specimens of Plants from Chelfea Garden : Prefented to the Royal So- ciety,Tear ly^o^purfuant to the DireSlion of the late Sir Hans Sloane, Bart, from the Society of Apothecaries^ London : By Stanefby Alchorne, Member of the faid Society. . P- 39^^ XLllI. Obfervations tnade^ by Appointment of the Royal Society, at King George’s Illand in the South Sea 5 by Mr. Charles Green, formerly A[Jifdht at the Royal Obfervatory at Greenwich, and Lieut. James Cook, of his Majejiy s Ship the Endeavour. P-397 XLIV. Variation of the Compafs, as obferved on board the Endeavour Bark, in a Voyage round the World. Communicated by Lieut. James Cook, Commander of the fatd Bark. - p. 422 XLV. Tranftiis Veneris & Mercurii in eorum Exitu e Dijco Solis, 4/0 Menfs Junii C? \omo Novembris, 1769, obfervatus. Communicated by Capt. James Cook. _ _p. 433 XLVI. Kepler’s Method of computing the Moon's Par- allaxes in Solar Eclipfes, demonjirated and extended to all Degrees of the Moons Latitude, as alfo to the ajjigning the Moon's correfpondent apparent Diameter, together udth a concife Application of this Form of Calculation to thofe EclipfeS', by the fate H. Pem- berton, M. D. F. R. S. Communicated by Matthew Raper Efq-, F. R. S. p. 437 XLV II. Of Logarithms, by the late William Jones, Efq-, F'. R. S. Communicated by John Robertlon, Lib. R. S. ^ p. 455 b 2 XLVIII. An \ Xll CONTENTS. XL VI II. An Inquiry info the Value of the ancier^ Greek and Roman Money : By Matthew Raper, Efq-, F. R, S’, p. 462 XL IX. Defcription of a Method of mcafuring Differ- ences of Right Afeenfon and Decimation, with Dollond’s Micrometer, together with other ?iew Ap- plications oj the fame: By the Rev, Nevil Mafieelyns, B. D. F. R. S. Afro'.omtr Royal. p. 536 L. A Supplement to a former Paper, concerning Diffi- culties in the Newtonian fheory of Light By the Rev. S. Horfley, LL. B. F. R. S. P* 547 LI. An Account of the going of an Afronomical Clock: By the Rev. Francis Wolla(lon, F. 7^. .6^ LIl. An Account of d pure native crffallijcd Natron, or foffil alkaline Salt, which is jound in the Country of Tripoli in Barbary : By Donali Monro, M. D. Phyfeian to the Army, and to St. George’s Dofpital, Fellow of the Royal College of Pkyfcians, and of the Royal Society. . P- 5^7 Llil. I he ^antity of the Suns Parallax, as deduced from the Obfervations oJ the Lranft of Venus, on June 3, 1769 : By Thomas Hornfby, M. A.. bavilian Profeffor oj AJlronorny in the Untverjuy of Oxford, and F. R. S. p. 574 LIV. A Letter from Mr, R. E. Rafpe, F. R. S. to M. Maty, M'. D. Sec. R. S. containing a feort Account- of fome Bafait Hills Heiha. p. 580 LV. An Attempt to explain fome of the principal P heenomena of Electricity, by Means of an elafic Fuiil: By the Honourable Henry Cavendhb, F. R, S. z p. 584. PRESEN PRESENTS MADE TO THE ROYAL SOCIETY. la the YEAR 1771 > WITH The NAMES of the DONORS. Donors Names- Prefentsmade. Jan. 10. Board ot Longitude. Nautical Almanack fo.r 1772. 8* Blr. J. R.einhold lordei'. \^oyage to China, by Peter Olbeck, 2 vol. 8“^ Mr. J. Wynn Baker. Trafts on Ilulbandry. 8* 17. Sir Wm. Browne, M, D. Lufiis Medici, Lat. 6c Angl. 4® Mr. Humphreys. Conchology', or a nat. hill, of fiidls-, N®. I. ^ _ Fol. 24. Rev.JohnCorharnHuxham,Obferv. Huxhamii de acre & inorb. M. A. 3.1. James Burrow, Efq; Dr. Maty. J Stephen Dcvifme, Efq; Epid. Torn. III. 8" De ulu 6c latione interpungendi, Ed. 2. 4® Almanack pour trouver I’heurc par tons les degres, 4° Blodel of a Chinefe ftove for iwirming., their rooms, and fpeci.meus of coals.. 1 tL • C ] Don®rs Names, Feb. 7. Mr. John Landen. Mr. J. Miller. Mr. Humphreys. John Mills, Efq; ’Mr. T, S. Kudihan. 14. Dr. Limburg. 21. Berlin R. Academy. I March 7. Mr. J. Relnhold Forflcr. J. Fothcrgill, M. D. Prefcnts made. Animadverfions on Dr. Steivart’s com- putation of the Sun’s diftance trom the earth. Syftem of Botany, coloured prints, N° II. Fol. Concholog\-, or a nat. hill, of Ihells, N“ II. Fol. Natural and chemical elcm. ofagrlc. 8° Twelve birds, in fine preiervation ; and alio 2 Iquiirels and 64 moths and files from North America. Diflertation fur les aihnltcs chemiques. 1 2“ Nouveaux amufcmeni des eaux de Spa. 1 2° Traltes des eaux minerales de Spa. 1 2° Dificrt. inaug. fur les eaux de Spa. 1 2° Hlltoire de rAcademlc Royale de Berlin, for 1763. _ 4° Kahn’s travels into N. America, 2d and 3d vol. . 8° Charadler of the late Alex. Rufiell, M. D. 4® 21. Society of Phyficians. Chr. Theo. de Murr. April II. Stockholm R. Academy. Paris R, Academy. 2 5 Rev. R. Watfon Profeflbr at Cambridge. J. Ingenhouz, M. D. May 2, M. Tunllall, Efq; Benjamin Kennicott, D.D. William Brownrigg, M.D. Medical obfervations and inquiries, 4th vol. 8® Nova ARa Phyfico-mcd.Acad. Ctefarea?, Tom. III. & IV. 4° Their Tranfadl. 14 quarterly Numbs. down to 1770. 8® Their IMemoirs, See. 3 vols for i 766, 1767, 1768. 4° An eflay on the fubjefls of cheinilliy 8® An impreffion of a medal, made from the fediment of mineral water, in Ital}". Ornithologia Britannica. ' Fol. The ten annual accounts of the collation of Hebrew MSS. Confiderations on preventing the com- munication of Pellilential contagion, 4" Mr. J. Reinhold Forllcr. A catalogue. of animals of N. America. 8® 9. Tho. Pennant, Efq; Brltifli Zoology, 4 v»)ls. 8® A fynoj>iis ot Quadrupeds. 8® 16. Hon. Dailies Barrington. 'A mole from N. America. M.iy [ XV ] Donors Names. May 30. Richard Price, D. D. Prefcnts made. Obfervatlons on revernonary payments. 3\I. Mcrand, M. D. &Ir. Humphreys. John Ellis, Ell]; 6. L ord Baltimore. Alex. Dalryniple, Efcj; &c. S'* Memoires fur la nature, See. du Char- bon de terre apptete.. 8° Concholog)^ or a nat. hill, of fliells, N° III. Fol. . A turtle of a new fpecies. Tyne 6. L ord Baltimore. Latin Poems. 4° Hiilorical colledlion of voyages and difeoveries in the Ptidfic ocetin, 2 vol. 4° Nov. 7. Sir Wm. Browne, M. D. A.ppendlx ad opufcula. 4° Mr. J. Reinhold Forfler. Flora Americas feptentrionalis 8° Novae fpecies infedorum, Centuria I. 8° George Baker, M. D. Opufcula Medica, 8“ Rev. J. Corham Fluxham. Obfervationes de aere, &c. ift and 2d vols. 8“ American Phil. Society. Their Tranftdions, Vol. I. 4°' M. I’Abbe Rouffies. Memoire fur la Muftque des Anciens. 4°‘ hlr. Flumphreys. Conchology, or a nat. hill, of h ells, N° 4 and 3. 1 ol. hlr. J. Reinhold Foriler. Bolfu’s Travels In N. America, 2 vols. gc- J. Zephan Holwell, Efq; India Trails. 4^ Manner of inoculating for the fmall pox in Eafl India. 8'^ — ■ ■ ' — Hiilorical events relative to Bengal and Indoftan. ■ 8° IVlich. Sarconc, Del contagio del Vaju- ola. * 4® A new chart of the kingdom ot Poland, 4 Iheets. Concholotry, or a nat. hift. of hells.. N^ IV. Fol. . Print coloured of the tea plant, and defcription. ' Fol. Nouveau fyheme de Ledure. Fol. Dec. 5. Sir John Pringle, M. D, IMr. Poezobutz. . jMr. Humphreys. , hlr. J. Miller. . Abbe Maudru. Hudfonb Bay Compciny. . A large colledion of quadrupeds, birds, filh, and other curiolitics, trom Hud bir’s Bay. 12, Dr. Gower. Pdaterials for a new Hill, of Chehrire. 4° J 9. Donakl IMonro, ivl, D. Some fpecimens of native natron, from '.I'ripoli, r HI L I ‘1 » -r* \ *» . . 'I' 'Tv . -J ■ ' * I; ..■i. I • . .i'.tt'i ;l .1 . . y r '• i . -»> ■•■ ' • ^ - .J ■'! ' • . .tnu.' ^ > • . ^ -r .1 . ... • • • • . « * ^ ,t'W •5 '* (, I '-rr y - »3! >• ' ! .« » . i> I. t > .a !/.•' ,i f j . ..-•, f f. .» V ..■> / /' t4|t( i ' -■ ^ 1 / « ' , “■ r**. , ' . ►•*'.1 . ' '. \ 'M'-' I I ‘ ' -i ■' i ■ ■ ft' I . li i' li’- 1 * ,f • • ’ . . , ■ .”j • •'-> 1 •At* 'if V * ' ^-t . u ;' . . X ;v- '..tViir ' r t , <7 -?i.T3r li 1. , 11#' *j" S '■•V • ■ - I ' ,-L > ;'■'••• f ^ •%W > t \ ■ .VJtr ■t -♦# , - ‘ r .1 V , \ I* [ I ] PHILOSOPHICAL T R-A N S A C T I O N S. I. Rema?'h upon the Nature of the Soil of Naples, and its N eighh our hood ; in a Letter from the Honourable William Hamilton, His Majefys Envoy Extraordinary at Naples, to Mathew Maty, M. Z). Sec. R.S. S I R, Naples, 0£1:. i6, 1770% Read Jan. 10. 17. 24. A CCORDING to your defire, JTjL 1^ ^1™^ i*^ fending you fuch further remarks as I have been making with fome diligence, for fix years pafl, in the compafs of twenty miles or more, round this capital. By accom- panying thefe remarks with a map of the country I defcribe, and with the fpecimens of different mat- ters that compofe the moft remarkable fpots of it, VoL. LXI. B Ido I do not doubt but that I fhall convince you^ as I am myfelf convinced, that the whole circuit (lb far as 1 have examined) within the boundaries marked in the map, is wholly and totally the pro- duction of fubterraneous fires ; and that mold probably the fea formerly reached the mountains that lie be- hind Capua and Caferta, and are a continuation of the Appennines. If I may be allowed to compare fmall things with great, I imagine the fubterraneous fires to have worked in this country under the bottom of the fea, as moles in a field, throwing up here and there a hillock, and that the matter thrown out of fome of thefe hillocks formed into fettled volcanos, filling up the fpace between one and the other, has compofed this part of the continent, and many of the illands adjoining. From the obfervations I have made upon mount Etna, VefuvLus, and its neighbourhood, I dare fay, that, after a careful examination, moft mountains that are, or have been volcanos, would be found to owe their exifience to fubterraneous fire ; the direCl reverfe of what I find the commonly received opinion. Nature, though varied, is certainly in general uni- form in her operations ; and 1 cannot conceive that two fuch confiderable volcanos as Etna and Vefuvius fliould have been formed otherwife, than every other confiderable volcano of the known world. I do not wonder that fo little progrefs has been made in the improvement of natural hifiory, and parti- cularly in that branch of it which regards the theory of the earth; nature acls fiowly, it is difficult to catch her in the fadt, Thofe who have made this fubject fubje<^l their ftiidy have, without fcruple, undertaken at once, to write the natural hifiory of a whole pro- vince, or of an entire conuncnt ; not refiedling, that the longed; life of man fcarcely affords him time to give a perfed; one of the fmalleft infeft. I a/n ieniible of what I undertake in civine you. Sir, even a very imperfedt account of the nature of tlac foil of a little tuore than twenty miles rouuvl Naples: yet I flatter mvftlf that my remarks, fuch as they are, may be of fome ufe to any one here- after, who may have leifure and inclination to follow them up. The kingdom of the Two Sicilies offers certainly the faired; field for obfervations of this kind, of any in the whole world ; here are volcanos exift- ing in their full force, fome on their decline, and others totally extindl. To begin with fome degree of order, v^rhich is really difficult in the variety of matter that occurs to my mind, I will drd; mention the bads on which I found all my conjedlures. It is the nature of the foil that covers the antient towns of Herculaneum and Pompeii, and the interior and exterior form of the new mountain, near Puzzole, with the fort of materials of which it is compofed. It cannot be de- nied that Herculaneum and Pompeii flood once above ground ; though now, the former is in no part lefs than feventy feet, and in fome parts one hundred and twelve feet, below the prefent furface of the earth ; and the latter is buried ten or twelve feet deep, more or lefs. As we know from the very accurate account given by Pliny the younger, to Ta- citus, and from the accounts of other contemporary- authors, that thefe towns were buried by an eruption B 2 of [4] of mount Vefuvius in the time of Titus ; It muft be allowed, that wdiatever matter lies between thefe cities and the prefent furface of the earth over them, mufl have been produced fince the year 79 of the Chriftian aera, the date of that formidable eruption. Pompeii, which is htuated at a much greater diifance from the volcano than Herculaneum, has felt the effedls of a fingle eruption only; it is covered with white pumice fiones mixed with fragments of lava and burnt matter, large and fmall; the pumice is very light, but I have found fome of the fragments of lava and cinders there, weighing eight pounds. I have often wondered that fuch weighty bodies could have been carried to fuch a diftance (for Pom- peii cannot be lefs than five miles, in a Ifrait line, from the mouth of Vefuvius). Every obfervation confirms the fall of this horrid flaower over the un- fortunate city of Pompeii, and that few of its in- habitants had dared to venture out of their houfes; for in many of thofe which have been already cleared, fkeletons have been found, fome with gold rings, ear rings, and bracelets. I have been prefent at the difcovery of feveral human fkeletons my felf ; and under a vaulted arch, about two years ago, at Pom- peii, I law the bones of a man and a horfe taken up, with the fragments of the horfe’s furniture, which had been ornamented with falfe gems fet in bronze. The Ikulls of fome of the fkeletons found in the flreets had been evidently fradtured by the fall of the hones. His Sicilian majeffy’s excavations are confined to this fpot at prefent ; and the curious in antiquity may expedt hereafter, from fo rich a mine, ample matter for their dilfertations : but I will confine mylelf to [ 5 ] to fuch obfervatlons only as relate to my prefent fubjedt. Over the ftratum of pUmice and burnt matter that covers Pompeii, there is a ftratum of good mould, of the thicknefs of about two feet and more in fome parts, in which vines flourifh, except in fome parti- cular fpots of this vineyard, where they are fubje<5t to be blafted by a foul vapour or mojete^ as it is called here, that rifes from beneath the burnt matter. The abovementioned fliower of pumice ftones, according to my obfervations, extended beyond Caftel-a-mare (near which fpot the ancient town of Stabia alfo lies buried under them), and covered a trad; of country not lefs than thirty miles in circumference. It was at Stabia that Pliny the elder loft his life, and this fhower of pumice ftones is well defcribed in the younger Pliny’s letter. Little of the matter that has iftued from Vefuvius ftnce that time, has reached thele parts : but I muft obferve that the pavement of the ftreets of Pompeii is of lava ; nay, under the foundation of the town, there is a deep ftratum of lava and burnt matter. Thefe circumftances, with many others that will be related hereafter, prove, beyond a doubt, that there have been eruptions of Vefuvius previous to that of the year 79, which is the ftrft recorded by hiftory. The growth of foil by time is eaftly accounted for ; and who, that has vifited ruins of ancient edi- fices, has not often fecn a flouriftiing fhrub, in a good foil, upon the top of an old wall ? I have remarked many fuch on the moft confiderable ruins at Rome and elfewhere. But from the foil which has grov/a over the barren pumice that covers Pompeii, I was enabled C 6 ] enabled to make a curious obfervation. Upon ex- amining the cuts and boUow ways made by currents ot water in the neighbeurhood of \'^criivius and of oilier volcanos, I liad remarked that there lay fre- qucntlv a ilratnm of rich foil, of more or lefs depth, between the matter produced by the explofion ofiuc- ceeding eruptions; and I was naturally led to think that fuch a flratum had grown in the fame manner as the one abovementioned over the pumice cf Pompeii. Where the ftratum of good foil w.iS thick, it was evident to me that many years had elapfed between one eruption and that which fucceeded it. I do not pretend to fay that a jud eftimate can be formed of the great age of volcanos from this ob- fervation, but fome fort of calculation rrfight be made; for indance, fliould an explofion of pumice cover again the foot under which Pompeii is buried, the flratum of rich foil abovementioned would certainly lie between two beds of pumice; and if a like acci- dent had happened a thoufand years ago, the flratum of ricli foil would as certainly have wanted much of its prefent thicknefs, as the rotting of vegetables, manure, 6cc. is ever increafing a cultivated foil. Whenever I find then a fuccefiion of different flrata of pumice and burnt matter like that which covers Pompeii, intermixed with flrata of rich foil, of greater or lefs depth, I hope I may be allowed rea- lonably to conclude, that the whole has been the produdion of a long leries of eruptions occafioned by fubterraneous fire. By the fize and weight of the pumice, and fragments of burnt erupted matter in thefe flrata, it is eafy to trace them up to their fource, which I have done more than once in the neighbour- hood [ 7-] hood of Puzzole, where explofions have been fre- quent. The gradual decreafe in the fize and quan- tity of the erupted matter in the flratum above- mentioned, from Pompeii to Caftle-a-Mare, is very vifible: at Pompeii, as I faid before, I have found them of eight pounds weight, when at Caflle-a-Mare the largeft do not weigh an ounce. The matter which covers the ancient town of He rculaneum is not the produce of one eruption onlyj for there are evident marks that the matter of fix eruptions has taken its courfe over that which lies immediately above the town, and was the caufe of its deftrudlion. Thefe firata are either of lava or burnt matter, with veins of good foil between them. The firatum of erupted matter that immediately covers the town, and with which the theatre and moft of the houfes were filled, is not of that foul vitrified matter, called lava, but of a fort of foft flone, compofed of pumice, aflies, and burnt matter. It is exactly of the fame nature with what is called here the Naples flone ; the Italians diftinguifli it by the name of /u/a, and it is in general ufe for build- ing. Its colour is ufually that of our free ftone, but fometimes tinged with grey, green, and yellow; and the pumice flones, with which it ever abounds, are fometimes large and fometimes fmall : it varies like- wife in its degree of folidity. The chief article in the compofition of this feems to me to be, that fine burnt material, which is called puzzola?ie, whofe binding quality and utility by way of cement are mentioned by Vitruvius, and which is to be met with only in countries that have been fubjedl to fubterraneous fires. It is, I believe, a fort of lime pre- pared [ 8 ] pared by nature. This, mixed with water, great or fmali pumice ftones, fragments of lava, and burnt mat- ter, may naturally be fuppof^d to harden into a hone of this kind ; and, as water frequently attends eruptions of tire, as will be feen in the accounts I fhall give of the formation of the new mountain near Puzzole, lam convinced the hi ft matter that ilTued from Ve- fuvius,and covered Herculaneum, was in the hate of liquid mud. A circumftance ftrongly favouring my opinion is, that, about two years ago, I faw the head of an antique ftatue dug out of this matter within the theatre of Herculaneum ; the imprehion of its face remains to this day in the and might ferve as a mould for a caft in plaifter of Paris, being as perfect as any mould I ever faw. As much may be inferred from the exa6t refemblance of this matter, or tiifa^ which immediately covers Herculaneum, to all the tufas of which the high grounds of Naples and its neighbourhood are compofedj I detached a piece of it fticking to, and incorporated with, the painted flucco of the infide of the theatre of Her- culaneum, and hiall fend it for your infpedtion It is very different, as you will fee, from the vitrified matter called lava, by which it has been generally thought that Herculaneum was deftroyed. The village of Refina and fome villas ftand at prefent above this unfortunate town. To account for the very great difference of the matters that cover Herculaneum and Pompeii, I have often thought that in the eruption of 79 the moun- ^ This piece Is now in the Mufeum of the Royal Society, together with many other fpccimens, mentioned in this and in the following lewer. M. M. 2 tain [ 9 ] tain mufl: have been open in more than one place. A paHage in Pliny’s letter to Tacitus feems to fay as much, “ Interim e P^cjuvio nwnte phirihiis locis latiJjimcB Jlamma, atqiie incotdia rehicebant^ quorum fulgor et “ claritas tenebras noBh peJlebat fo that very pro- bably the matter that covers Pompeii proceeded from a mouth, or crater, much nearer to it than is the great mouth of the volcano, from whence came the matter that covers Herculaneum. Tins matter might neverthelefs be faid to have proceeded from Vefuvlus, juft as the eruption in the year 1760, which was quite independent of the great crater (be- ing four miles from it), is properly called an eruption of Vefuvius. In the beginning of eruptions, volcanos frequently throw up water mixed with the afhes. Vefuvius did fo in the eruption of 1631, according to the tefti- mony of many contemporary writers. The fame circumftance happened in 1669 according to the account of Ignazzio Sorrentino, who, by his Hiftory of Mount Vefuvius printed at Naples in 1734, has fliewn himfelf to have been a very accurate obferver of the phaenomena of the volcano, for many years that he lived at Torre del Greco, fituated at the foot of it. At the beginning of the formation of the new mountain, near Puzzole, water was mixed with the aftaes thrown up, as will be feen in two very curious and particular accounts of the formation of that mountain,- which I fhall have the pleafure of com- municating to you prefently; and in 1755 Etna threw up a quantity of water in the beginning of an eruption, as is mentioned in the letter I fent you laft VoL. LXI. C year [ 10 } year upon the fubjeft of that magnificent volcano Ulloa likewife mentions this circumftance of water attending the eruptions of volcanos in America. Whenever therefore I find a tufa compofed exadly like that which immediately covers Herculaneuiu, and undoubtedly proceeded from Vefuvius, I conclude fuch a tufa to have been produced by water mixing with the erupted matter at the time of an explofion occafioned by fubterraneous fire ; and this obfer- vation, I believe, will be of more ufe than any other, in pointing out thofe parts of the prefent terra frma, that have been formed by explofion. I am convinced it has often happened that fubterraneous fires and exhalations, after having been pent up and confined forfome time, and been the caufeof earth- quakes, have forced their pafiage, and in venting themfelves formed mountains of the matter that confined them, as you will fee was the cafe near Puzzole in the year 1538, and by evident figns has been fo before, in many parts of the neighbourhood * of Puzzole ; without creating a regular volcano. The materials of fuch mountains will have but little appearance of having been^ produced by fire, to any one unaccuflomed to make obfervations upon the different nature of volcanos. If it were allowed to make a comparifon between the earth and a human body, one might confider a' country replete with combuftibles occafioning ex- plofions (which is furely the cafe here) to be like a 'body full of humours. When thefe humours con- centre in one part, and form a great tumour out of which they are difcharged freely, the body is lels, * Phil. Tranfaa. Vol. LX. p. i. agitated ; [ " ] agitated j but when by any accident the humours are checked, and do not find a free pafiage through their ufual channel, the body is agitated, and tumours appear in other parts of that body, but foon after the humours return again to their former channel. In a fimilar manner one may conceive Vefuvius to be the prefent great channel, through which nature dif- * charges fome of the foul humours of the earth when thefe humours are checked by any accident or fiop- page in this channel for any conliderable time, earth- quakes will be frequent in its neighbourhood, and explofions may be apprehended even at fome diftance from it. This was the cafe in the year 1538, Vefuvius having been quiet for near 400 years. There was no eruption from its great crater from the year 1 139 to the great eruption of 1631, and the top of the mountain began to lofe all figns of fire. As it is not foreign to my purpofe, and will ferve to (hew how greatly they are miftaken, who place the feat of the fire in the centre or towards the top of a volcano, I -will give you a curious defcription of the fiate of the crater of Vefuvius, after having been free from eruptions 492 years, as related by Eracini, who defcended into it not long before the eruption of 1631 : “ The crater was five miles in “ circumference, and about a thoufand paces deepAts fides were covered with brufii wood,' and at the “ bottom there was a plain on which cattle grazed. ** In the woody parts, boars frequently harboured ; “ in the midfi; of the plain, within the crater, w''as a “ narrow pafiage, through which, by a winding path, “ you could defeend about a mile amongft rocks and flones, till you came to another more (pacious C 2 ‘‘ plain [ ] ** plain covered with afhes : in this plain were three “ little pools, placed in a triangular form, one to- “ wards the Ealf, of hot water, corrofive and bitter “ beyond nieafure ; another towards the Welf, af ‘‘ water falter than that of the fea j the third of hot “ water, that had no particular tafle.” The great increafe of the cone of Vefuvius, from that time to this, naturally induces one to conclude, that the whole of the cone was raifed in the like manner, and that the part of Vefuvius, called Som- ma, which is now confidered as a diftinft mountain from it, was compofed in the fame manner. This may plainly be perceived by examining its interior and ex- terior form, and the flrata of lava and burnt matter of which it is compofed. The ancients, in defcribing Vefuvius, never mention two mountains. Strabo, Dio, Vitruvius, all agree, that Vefuvius, in their time, fliewed figns of having formerly erupted, and the firft compares the crater on its top to an amphitheatre. The mountain now called Somma was, I believe, that which the ancients called Vefuvius j its outfide form is conical, its inlide, inftead of an amphitheatre, is now like a great theatre. I fuppofe the eruption in Pliny’s time to have thrown down that part of the cone next the fea, which would naturally have left it in its prefent ftate, and that the conical moun- tain, or exifting Vefuvius, has been raifed by the fucceeding eruptions: all my obfervations confirm this opinion.. I have feen antient lavas in the plain on the other fide of Somma, which could never have proceeded from the prefent Vefuvius. Serao, a celebrated phyfician now living at Naples, in the introduction of his account of the eruption of Vefu- vius [ 13 ] 'vius in 1737 (in which account many of the.phs- nomena of the volcano are recorded and very well accounted for) fays, that at the convent of Dominican Fryars, called the Madona del Arco, fome years ago, in linking a well, at a hundred feet depth, a lava was difcovered, and foon after another, fo that in lefs than three hundred feet depth, the lavas of four eruptions were found. From the- lituation of this convent it is clear beyond a doubt, that thefe lavas proceeded from the mountain called Somma^ as they are quite out of the reach of the exiding volcano. ^ From thefe circumftances, and from repeated ob- fervations I have made in the neighbourhood of Ve- fuvius, I am fure that no virgin foil is to be found there, and that all is compofed of different Ifrata of erupted raatter>even to a great depth below the level of the fea. Infliortjl have not any doubt in my own mind, but that this volcano took its rife from the bottom of the fea ; and as the whole plain between Vefuvius and the mountains behind Caferta, which is the bed part of the Campagna Felice, is (under its good foil) compofed of burnt matter, I imagine the fea to have waflied the feet of thofe mountains, until the fubterraneous fires began to operate, at a period certainly of a mod remote antiquity. The foil of the Campagna Felice is very fertile;,. I faw the earth opened in many places laft year in the midft of that plain, when they were feeking for materials to mend the road from Naples to Caferta. The flratum of good foil was in general four or five feet thick ; under which was a deep flratum of cin- ders, pumice, fragments of lava and fuch burnt matter as abounds near Vefuvius and all volcanos.. The 3 [ H ] The mountains at the hack of Caferta are mofily of a fort of lime -Rone, and very different from thofe .formed by hre; though Signior Van Vitelli, the ce- lebrated architedt, has affured me, that in the cutting of the famous aquedudl of Caferta through thefe mountains, he met with fome foils, that liad been evidently formed by fubterraneous fires. The high grounds which extend from Cafiel-a-Mare to the point of Minerva towards the ifland of Caprea, and from the promontory that divides the bay of Naples from that of Salerno, are of lime Rone. The plain of Sorrento, that is bounded by thefe high grounds, beginning at the village of Vico, and ending at that of Mafia, is wholly compofed of the fame lort of tufa as that about Naples, except that the cinder or pumice Rones intermixed in it are larger than in the Naples tufa. I conceive then that there has been an ex'- plofion in this fpot from the bottom of the fea. This plain, as I have remarked to be the cafe with all foils produced by fubterraneous fire, is extremely fertile j whilR the ground about it, being of another nature, is not fo. The ifiand of Caprea does not fiiew any figns of having been formed by fubterraneous fire, but is of the fame nature as the high grounds laR mentioned, from which it has been probably detached by earthquakes, or the violence of the waves. Ro- vigliano, an ifiand, or rather a rock in the bay of CaRel-a-Mare, is likewife of lime Rone, and feems to have belonged to the original mountains in its neighbourhood : in fome of thefe mountains there are alfo petrified fifii and fofiil Riel Is, which I never have found in the mountains, which I fuppofe to have been formed by explofion. You r ^5 ] You have now, Sir, before you the nature of the foil, from Caprea to Naples. The foil on which this great metropolis hands has been evidently produced by explolions, fome of which feem to have been upon the very fpot on which this city is built ; all the high grounds round Naples, Paufilipo, Puzzole, Baia, Mifenum, the illands of Procita and Ifchia, all ap- pear to have been raifed by explofion. You can trace hill in many of thefe heights the conical flaape that was naturally given them atfirfi, and even the craters out of which the matter iffued, though to be fure others of thefe heights have fuffered fuch changes by the hand of time, that you can only conjedure that they, were raifed in the like manner, by their compoiition being exadly the fame as that of thofe mountains, which dill retain their conical form and craters entire. A tufa, exadly refembling the fpeci- inen I took from the inlide of the theatre of Her- culaneum, layers of pumice intermixed with layers of good foil, juft like thofe over Pompeii, and lavas like thofe. of Vefuvius, compofe the whole foil of the. country that remains to be defcribed. The famous grotto anciently cut through the; mountain of Paufilipo, to make a road from Naples to Puzzole, gives you an opportunity of feeing that the whole of that mountain is tufa. The firft evi- dent crater you meet with, after you have paffed the grotto of Pauftlipo, is now the lake of Agnano ; a fmall remain of the fubterraneous fire (which muft. probably have made the bafon for the lake, and raifed the high grounds which form a fort of amphitheatre round it) ferves to heat rooms, which the Neapoli- tans make great ufe of in fummer, for carrying off diverfe* [ ] diverfe diforders, by a flirong perfpiratlon. This place is called the Sudatorio di San Germane ; near the prefent bagnios, which are but poor little hovels, there are the ruins of a magnificent ancient bath. About an hundred paces from hence is the Grotto del Cane ; I flaall only mention, as a further proof of the probability that the lake of Agnano was a volcano, that vapours of a pernicious quality, as that in the Grotto del Cane, are frequently met with in the neighbourhood of Etna and Vefuvius, particularly at the time of, before, and after, great eruptions. The noxious vapour having continued in the fame force confiantly fo many ages, as it has done in the Grotto del Cane (for Pliny mentions this Grotto), is indeed a circumftance in which it differs from the vapours near Vefuvius and Etna, which are not conftant j the cone forming the outfide of this fuppofed volcano is ftill perfedt in many parts. Oppofite to the Grotto del Cane, and immediately joining to the lake, rifes the mountain called Afiruni, which, having, as I imagine, been thrown up by an explofion of a much later date, retains the conical fliape and every fymptom of a volcano in much greater perfedlion than that I have been deferibing. The crater of Aftruni is furrounded with a wall to confine boars and deer (this volcano having been for many years converted to a royal chace). It may be about fix miles or more in cicumference j in the plain at the bottom of the crater arc two lakes, and in fome books there is mention made of a hot fpring, which I never have been able to find. There are many huge rocks of lava within the crater of Aftruni, and ibme I have met with alfo in that of Agnano j the [ ^7 ] the cones of both thefe fuppofed volcanos are com- pofed of tufa and ftrata of loofe pumice, fragments of lava and other burnt matter, exa6lly refembling the flrata of Vefuvius. Bartholomeus Fatius, who wrote of theadlions of king Alphonfo the firft (before the new mountain had been formed near Puzzole), conjectured that Aftruni had been a volcano. Thefe are his words : Locus Neapcli qilatuor millia pafuum proximiiSy quern vulgo Liftrones vocafit, nos iinum e Phlegreeis Campis ab ardore nuncupandutn putamus. There is no entrance into the crater of either Aftruni or Agnano, except one, evidently made by art, and they both exadlly correfpond with Strabo’s defcn'ption of avenues; the fame may be faid of the Solfaterra and the Monte Gauro, or Barbaro as it is fometimes called, which I fhall defcribe prefently. Near Aftruni and towards the fea rifes the Solfa- terra, which not only retains its cone and crater, but much of its former heat. In the plain within the crater, fmoke ilfues from many parts, as alfo from its lides ; here, by means of ftones and tiles heaped over the crevices, through which the fmoak palfes, they collect in an aukward manner what they call fate armo?iiaco'y and from the fand of the plain they extract fulphur and alum. This fpot well attended to might certainly produce a good revenue, whereas I doubt if they have hitherto ever cleared 200 /. a year by it. The hollow found produced by throwing a heavy ftone on the plain of the crater of the Solfa- terra feems -to indicate, that it is fupported by a fort of arched natural vault ; and one is induced to think that there is a pool of water beneath this vault (which boils by the heat of a fubterraneous fire flill deeper) VoL. LXI. D by [ ^8 ] by the very rnoifl Areara that iffues from the cracks in the plain of the Solfaterra, which, like that of boiling water, runs off a fword or knife, prefented to it, in great drops. On the outfide, and at the foot of the cone of the Solfaterra, towards the lake of Agnano, water ruAies out of the rocks, fo hot, as to raife the quickhlver in Fahrenheit’s thermometer to the degree of boiling water, a fad of which I was myfelf an eye-witnefs. This place, well worthy the obfervation of the curious, has been taken little notice of; it is called the Pifciarelli. The common people of Naples have great faith in the efficacy of this water, and make much ufe of it in all cutaneous diforders, as well as for another diforder that prevails here. It feems to be impregnated chiefly with ful- phur and alum. When you approach your ear to the rocks of the Pifciarelli, from whence this water ouzes, you hear a horrid boiling noife, which feems to proceed from the huge cauldron, that may be fup- pofed to be under the plain of the Solfaterra. On the other fide of the Solfaterra, next the fea, there is a rock which has communicated with the fea, till part of it was cut away to make the road to Puzzolej this was undoubtedly a confiderable lava that ran from the Solfaterra when it was an adive volcano. Under this rock of lava, which is more than feventy feet high, there is a flratum of pumice and allies. This ancient lava is about a quarter of a mile broad; you meet with it abruptly before you come in fight of Puzzole, and it finifbes^as abruptly within about an hundred paces of the town. 1 have often thought that many quarries of flone upon examination would be found to owe their origin to the fame caufe, though lime [ 19 ] time may have effaced all figns of the volcano from whence they proceeded. Except this rock, which is evidently lava and full of vitrifications like that of Vcfavius, all the rocks upon the coaft of Baia are of tufa. I have obfervcd in the lava of Vefuvius and Etna, as in this, that the bottom as well as the furface of it was rough and porous, like the cinders or fcori‘mountEtna is at hand. I am alarmed at the length of this letter. By en- deavouring to make myfelf clearly underflood, I have been led to make, what I thought, necedary di- gredions. I mud therefore beg of your goodnefs, that, fhould you find this memoir in its prefent flate, stoo tedious (which I greatly apprehend) to be pre- fented [ 43 ] fented to our refpedable Society^ you will make only fuch extrads from it as you fhall think will be moft agreeable and interefling^ I am, SIR, With great truth and regard. Your moft obedient humble fervant,. William Hamilton.; G S' RsrsH— f 44 ] Rki-'erence-s to the Map, Tab. L I. Naoles. i £. Portici. 3. Refina, under which Herculaneum is burled. 4. Torre del Greco. 5. Hermitage, at which travellers ufually reft, In their way up mount Vefuvius. 6. St. Angelo, a convent of Calmaldolefe, fituated upon a cone of a mountain formed by an ancient explofion. 7. Cones formed by the eruption of 1760, and lava that ran from them almoft into the fea. 8. Mount Vefuvius and Somma, 9. Village of Somma. 10. The convent of the Madona del Arco, under which lavas have been found at 300 feet depth, and which muft have proceeded from the mountain of Somma, when an adtive volcano. 1 1 . Ottaiano. 12. Torre del Annunziata. 13. Caftel a Mare, near which the ancient town of Stabia is buried, and where Pliny the elder loft his life. 14. Vico. 15. Sorrento, and the plain formed evidently by , fubterraneous fire. 16. Mafia. 17. Ifland of Caprea. 18. The T Uhtlp-y. Tniux 1 . Xiib, i \ « -t 4 1* j<< Souuna Gull' of PUZZOLE and ^AJA l^isida' ^^Procita f '//ti/f. 3*^ I i ■i 1 4 ‘ ( # 1 L f [ 45 ] 18. The Grotto of Paufilipo, cut through the moun- tain anciently, to make a road from Naples to Puzzole. 19. Point of Paufilipo. 20. The Gaiola, where there are ruins of ancient buildings, fuppofcd to have belonged ,to LucuHus. 21. The ifland of Nifida, evidently formed by ex- plofion. 22. The Lazaret. 23. The Bagnoli. 24. Puzzole, or Pozzuolo. ’ ■ 25. The Solfaterra, anciently called Fofum Vulcani : between the Solfaterra and 'the lake of Ag- nano, are the boiling waters of the Pifciarelli. 26. The New Mountain, formed by explofion in the year 1538; the fand of the fea fhore at its bafis burning hot. 27. The lake of Agnano, fuppofed tho crater of an ancient volcano : here are the baths called St. Germano, and the famous Grotto del Cane. 28. Aftruni, which has been evidently a volcano, and is now a Royal Chace, the crater being fur- rounded with a wall. 29. The monte Gauro or Barbaro, anciently a volcano. 30. The lake of Avernus, evidently the crater of aii ancient volcano. 31. Lake of Fufaro. 32. Point of Miferium, from whetice Pliny the elder difcovered the eruption of Vefavius that proved fatal to him ; near this place, in a vault of an ancient building, is a conftant vapour or r 46 ] or mofetej of the fame quality with that of the Grotto del Cane. 33. The Mare Morto, the ancient Roman Harbour. 34. Bai'aj behind the caftle are two evident craters of ancient volcanos. 35. Ifland of Procita, 36. A perfeft cone and crater of a volcano near Caftiglione in the ifland of Ifchia. 37. Lava that ran into the fea in the lafl eruption on this ifland, in the year 1301, or 1302;. the place now called Le Cremate* 38. Town of Ifchia and caftle. 39. Lake of Licola. 40. Lake of Patria. 41. The river Volturnus. 42. Capua. 43. Caferta. 44. Averfa. 45. Mataloni. 46. Acerra. 47. Ifland of Ifchia, anciently called ^Enaria, Inari- me, and Pithecufa. 48. The mountain of St. Nicola, anciently called Mons Epomeus, fuppofed the remains of the principal volcano of the ifland. 49. Caftiglione, near which are the baths of Gur- gitelli. 50. Lacco, near which is that very cold vapour called by the natives ventarole. 3 1 . Ancient city of Pompeii, where his Sicilian ma- jefty^s excavations are carrying on. at prefent. 52. Rovigliano. 53. River of Sarno. 54. Cu- C 47 ] 54. Cuma. 55. Hot fands and Sudatory called Nero’s baths. 56. The Lucrine lake fuppofed to have been here, and of which there is llili fome little re- main. 57. Villa Angelica, Mr. Hamilton’s villa, from whence he has made many of' his obferva- tions upon mount Vefuvius. 58. Cones formed by an ancient eruption called ^iuli j here are likewife cold vapours called ’uentaroli, 59. High grounds, probably feaions of cones of an- cient volcanos, being all compofed oi tufa and flrata of loofe pumice and burnt matter. 60. Plain of the Campagna Felice, four or five feet of excellent foil, under which are ftrata of burnt and erupted matter. i , , , . . Marks the boundary of Mr. Hamilton’s obfervations. II. Extract [ 48 ] II. ExtraB of another Letter^ from Mr» Hamilton, to Dr. Maty, on the famt SubjeB. Naples, March 5, 1771. Read May 30, I had the pleafure of fending you my letter, in which the nature of the foil of more than twenty miles round this capital is deferibed ; examining a deep hollow way cut by the rain waters into the outlide cone of the Solfaterra, I difeovered, that a great part of the cone of that ancient volcano has been calcined by the hot vapours above deferibed. Pumice calcined feems to be the chief ingredient, of which feveral fpecimens of (as I fuppofe) variegated uniform marble are compofed, and the beautiful variegations in them may have probably been occalioned by the mineral vapours. As thefe fpecimens are now fent to the Royal Society, you will fee that thefe variegations are exadtly of the fame pattern and colours as are met in many marbles and flowered alabaftersj and I cannot help thinking that they are marble or alabafter in its infant ftate. What a proof we have here of the great changes the earth we inhabit is fubjedl to ! What is now the Solfaterra, we have every reafon to fuppofe, to have been originally thrown up by a fubterraneous explo- fion from the bottom of the fea. That it was long i an [ 49 ]■ an exifting volcano, is plain, from the ancienf cur- rents of lava, that are ftill to be traced from its crater to the fea, from the ftrata of pumice and erupted matter, of which its cone, in common with thofe of all other volcanos, is compofed, and from the tefti- inony of many ancient authors. Its cone in many parts has been calcined, and is ftill calcining, by the hot vapours that are continually iffuing forth through its pores, and its nature is totally changed by this chemical proeds of nature. In the hollow way, where I uiade thefe remarks, you fee the different ffrata of erupted matter, that compofe the cone in fome places perfedly calcined,’ in others not, accord- ing as the vapours have found means to infinuate themfelves more or lefs. A hollow way cut by the rains on the back of the mountain, on which part of Naples is fituated, to- wards Capo di China, diews that the mountain is compofed of ffrata of erupted matter, among which are large maffes of bitumen, in which its former ffate of fluidity is very vifible. Here it was I dlf- covered that pumice ftone is produced from bitu- men, which 1 believe has not yet been remarked. Some fpecimens ffiew evidently the gradual procefs from bitumen to pumice; and you will obferve that the cryffalline vitrifications, that are vifible in the bitumen, fuffer no alteration, but rem-ain in the fame ffate in the perfed pumice as in the bitumen. In a piece of ffratum, calcined from the out- fide of the Solfaterra, ahe form and texture of the pumice ffones is very difcernible. In feveral parts of the outfide cone, this calcining operation is ffill carried on by the exhalation of conffant very hot VoL. LXI. H and [so] ami damp vapours, impregnated with falts, fulphur, alum, &c. Where the above-mentioned vapours have not operated, the ftrata of pumice and erupted matter, that compofe the cone of the Solfaterra, are like thofe of ail the high grounds in its neigh- bourhood, which I fuppofe to have been thrown up likewife by explofion. I have feen here, half of a large piece of lava perfedlly calcined, whihl the other half out of the reach of the vapours has been untouched •, and in fome pieces the center feems to be already converted into true marble. The variegated fpecimens then, above deferibed, are nothing more than pumice and erupted matter, after having been adted upon in this manner by the hot vapours ; and if you conhder the procefs, as I have traced it, from bitumen to pumice, and from pumice to marble, you will think with me that it is difficult to determine the primitive date of the many wonderful produdfions we fee in nature. I found in the tufa of the mountain of Paufilipo, a fragment of lava: one fide I polifbed, to ffiew it to be true lava j the other ffiews the figns of the tufay with which it is incorporated. It has evi- dently been rounded by fridlion, and mod probably by rolling in the fea. Is it not natural then to ima- sine that there mull have been volcanoes near this fpot, long before the formation of the mountain of Paufilipo ? This little ftone may perhaps raife in your mind fuch refiedlions, as it did in mine, relative to the great changes our globe fuifers, and the proba- bility of its great antiquity. III. A [ 51 ] III. A Letter fr om Dr, Franklyn, F, R. to the AJironomer Royal ; containmg an Obfervation of the Fran fit of Mercury over the Sun, November (^th 1769 : By John Winthrop, Lfq\ F. R, S, Hollifian Pro-- feffor of Mathematics and- Natural Philo^ fophy at Cambridge, New England. Dear Sir, Craven-ftreet, Feb. 12, 1770. HAVE juft received a letter from Mr. Winthrop, dated Dec. 7, contain* ing the following account, viz, “ On Thurfday the 9th of November, I had an “ opportunity of obferving a tranfit of Mercury. I “ had carefully adjufted my clock to the apparent “ time, by correfpondent altitudes of the Sun; taken “ with the quadrant for feveral days before, and with ‘‘ the fame refledfing telefcope as I ufed for the tranfit “ of Venus I firft perceived the little planet “ making an imprefiion on the Sun’s limb at 2^ 52' ; and he appeared wholly within at 53' 58" apparent time. The fun fet before the planet ** reached the middle of his courfe; and for a con- 1 See Phil, Tranfaft. Vol. LIX. p. 352. H 2 p fiderable Read Jan. 10, 1771, [ 52 ] “ fiderable time before funfet, it was fo cloudy, that “ the planet could not be difcerned. So that I made “ no obfervations of confequence except that of the beginning, at which time the Sun was perfedly “ clear. This tranfit compleats three periods of “ 46 years, fince the firft obfervation of Gaflendi at Paris, in 1631.” I am, SIR, With great efteem. Your moft obedient fervant, B, Franklin* IV. Ohfer.^ [ 53 ] I V. Ohfervations on the Heat of the Grotmd on Mount Vefuvius : By John Howard, Efq\ F, R, S, Read Jan. 17, BEG leave to lay before this Society, 1771- fome obfervations which I made laff June, on the heat of the ground on mount Vefuvius, near Naples. On my afeending the mountain, I often immerged the bulb of a thermometer in the ground, but found no fenfible heat for fome time : the iirll: riling in my thermometer, was 114°; every two or three minutes, I obferved the inflrument, till I gained the fummit. At thofe times, I found it riling to 122°, 137% 147°, 164°, and 172°: on the top, in two places, where I made the obfervations, in tlie interllices be- twixt the hard lava, itw'as2i8°. Such a degree of heat, after I had 'overcome the inconvenience of the exhalations, raifed n*y curiolity to know if there was a flill greater degree of heat in the mouth of the faid mountain. Accordingly, I made a fmall defeent, and, by two obfervations I carefully and attentively- made, my thermometer both times flood at 240°. John Howard. P. S. It [ 54 ] P, S. If it flioiild be afked, how a perfon, cither to their feet or in {looping or laying down to make the obfervations, could endure fuch a degree of heat; I anfwer, that the heat, both at top and in the mouth of the mountain, was only in particular places. This was known by the fumes ; the hard maflcs of lava are only warm, and even fo tolerable as to permit me, to lay on them, as I was often obliged to do, when the thermometer was immerged, to make a true obfervation. V. Dc. J^bilvsTraft,/. TahJ^/..55. (f: /./ftur^ /C/t'rifafit ,y.' i [ 55 ] V. Defer ip tion of a Bird from the Eafl Indies ; in a Letter to James Weft, Lfq\ P ref dent of the Royal Society ; from Mr, George Edwards, F. R. S. SIR, Read Jan. 17, 1771. N Auguft laft, a friend of mine car- ried me with him to Valentine Houfe, near Ilford in Effex, the feat of Charles Raymond, Efq; to fee fome curious birds and other animals, from the Eafl Indies j amongft thefe, I difeovered a rare bird, not before known to me It is of a new genus, and the only fpecies of the genus hitherto come to my knowledge. It is about the bignefs of a heron [fee Tab. II.] j- and has a good deal of the appearance of birds of the heron and crane kind, except that the neck is a little fhorter. On hrd: fight, I thought the bird belonged to that genus ; but, on a clofer view, I judged it to be no wader in the water, for though the legs be as long or longer than in herons. See. yet they are fea- thered down to the knees, which we do not find in birds who wade in fihallow waters, to feek their * This bird was deferibed, under the name of the Sagittarius from the Cape of good Hope, by Mr. Vofmaer, keeper of the Statholder’s Mufeum at the Hague, in one of his publications in low Dutch, printed at Amfterdam,i769, in 4to,with a coloured cut of the faid bird. It Teems to feed equally on flefii and fidi ; ’^'hich accounts for his uniting the charadlers of birds of prey, and of waders in water. M. M» food. [ 5^ ] food. The toes in this bird are alfo much rtiorter than ' they are in herons, fo that I tliink it mufl; be placed amongft land birds. The bill is exactly like thofe of hawks, and other birds of prey, which is the only inftance I luve diicovered in any of the long legged kind of birds ; the talons or claws are fmall and unfit for a biid of prey, and the eyes arc of a dark colour placed in fpaces covered with a bare fkin of an oiange colour, on each fide of the head. It hath a beautiful crefl; compofed of many long painted feathers tipped witli black hanging back- ward. The beak, head, neck, back, bread, and upper covert feathers of the wings are of a blueilli afh colour, rather lighter on' the bread; than on the back. The belly, thighs, the greater wing-feathers, and tail, are black, the tail feathers being tipped with white ; the legs and feet are of a reddidi fiefli colour, the claws black. This bird was called a fnake-eater, by thofe who brought it from India. I believe it may prey on fmall lerpents, lizards, and other fmall reptiles. Another bird was brought with this, fuppofed to be the male of this fpecies, which died foon after it was landed Mr. Raymond’s fer- vant told me that it was fomething larger, and the cred longer, the head black, but that in other re- fpeds the two birds agreed. . I am, SIR, Your mod humble fervant, College of Phyficlans, January, 1771. Geo. Edwards. VII. An [ 57 ] An JLxtraB from the Reg’fer of the Tar'f f Holy-Crofs tn Salopj_ being a Second ^ Decade of l^ears from Michelmas, T760, to Michaelmas, 1770, carefully dlgefed In the following Rablci by the Rev. William Gorllich, Mlnfler of that Read January 24, 1771 Parilh. r, ■ , j Males. 1:, . j f Males, huned. , L r c males. 4 •o - t’- [ 63 ] the ftove, and another N outward, which carries off the fmoke. Nothing can be more limple than the effeft re- fulting from the affemblagc of all thefc parts. The heat of the furnace, impelled by the outward air, and attraded by the rarefied air of the ftove, rufhes through the flit, afcends into the tube, fpreads through the ftove by the vent holes, heats the bricks, and from them the whole room. The fmoke, which- has a free paflage, is carried off by the funnels. 2. Admitting this defcription, which explains the model ; let us next confider what is requifite for th« conftrudion of a good Kang. The furnace may be placed either in the room itfelf, or in the next room, or without doors. The poor, who are glad to make the moft of the firing that warms the Kiio-Kang, on which they fit by day, and fleep by night, place the furnace in the fame room j the middling fort put it in an adjoining room ; the rich and great have it on the outfide, and moft com- monly behind the north wall. The furnace muff be much below the level of the flove, that the heat and flame niay afcend with the greater im- petuofity into the condudor, and not drive up the aflies. The furnace is in the form of a cone, fome- what arched, that the adivity of the heat and flame may be all impelled into the ffove, and not fly olf when the aperture at the top is left open. Note,, that the two little moveable flips are planks, that take up occafionally, when people want to go down into the cellar and empty out the aflies. The opening in the furnace is narrow, • and the lower end of the condudor mufl: go quick up into the lloves [ 6+ ] ftove. The condu6lor is to be walled in very clofe on all fides with bricks, and well cemented with mortar made oi^ quick lime. That which the Chinefe iile is made with one part of white lime to two of black. The black lime, of which we fend a fample, is found at the entrance of tlie coal pits, and feems to us to be no other than coals dihblved bv rain waters. We can attelf that this fubdance mixed with white lime makes excellent mortar, nearly rc- fembling cement. It is proof againd rain and fun, and is ufed here to cover and dielter whatever is ex- pofed to the weather. We diould rejoice if this hint could prove ufeful to the Britidi nation. If their country affords black lime, they are polfcdcd of a great treafure. The ground or dooring of the dove may be of beaten clay, or, what is infinitely better, bricks placed cdgewifc, or large paving tiles. The funnel for the fmoke, or rather the two fun- nels, mud be made with great care. Some make them terminate in little chimneys, that carry off the fmoke above the roof. In the model, they open into the room, as the city poor have them ; but in the country, and in gentlemen’s houfes, they are on the outfide. It is of confequence that the little piles which fupport the great fquare bricks of the floor be very folid, and the bricks very thick and perfcdtly fquare. The Chinefe bind them with a fort of cement made of white and black lime, fempered with ‘Tong Teoii^ which is a kind of varnifh. We are apt to think walnut or linfeed oil boiled would do as well. As ■ C 65 ] As foon as the Kang is compleated, fire is kindled in the furnace, to dry it quick and even. Great diligence mud be ufed in examining it, in order to flop up all the little holes through which the fmoke might efcape. The wealthy, to moke their Kang neater, and to moderate its heat, oil the bricks of the floor, and light the fire, to make the oil penetrate deeper, and to dry them the fafler. This oil is again the Tong Teou^ and may be fupplied with walnut oil. 3. The Ti Kang^ or paved Kang, is made like the Kao Kang juft defcribed ; the only difference la, 1°, The pipe for the heat goes on rifing from the mouth of the furnace to the further end of the room. 2°, It does not communicate with a fecond pipe, as in the model. 3°, The vent holes that convey the heat into the ftove are all made narrow next the furnace, and go widening towards the ftove. 4°, The fun- nels for the fmoke always terminate without doors, or end in the little chimneys. 5°, In the Emperor’s palace and thofe of princes, the ftove is covered with two rows of bricks, to confine the fmoke, and to moderate the heat. Note, That the bricks in the royal apartments are two feet fquare, and four inches thick. They coft near a hundred crowns apiece; and are fb beautiful, good and folid, that you can have no conception of any fuch thing beyond the feas. They are grey; but this is owing to the Chinefe 'manner of baking their bricks and tiles, which comes nearer to that of the antients than ours. Theie bricks when coloured and glazed appear as fine as marble. The VoL. LXI. K coloured [ 66 ] To7ig-Ka77g, or the Kang built in the wall, differ from the ‘■Ji-Kang only by its perpendicular portion j the theory is the fame. 4. The Kang is heated by lighting a fire in the furnace. The fmoke and even the flame ruflies violently into the pipe, and is carried off by the vent holes all through the ftove, where, being pent up, it heats the bricks of the pavement in the fpace of five or fix hours ; when a Kang is thoroughly heated, very little fire is required to keep it warm, though here the thermometer is almoft all the winter at 9, 10, and even 12 or 13 degrees below the freezing point (in Reaumur’s thermometer) ; and although all the rooms are on the ground floor, and have nothing but windows, and thole paper windows, all over the front, which is commonly to the fouth, the warmth of the Kang is fufheient to keep up their tempera- ture at 7 or 8 degrees above frofl:, with very little fire confiantly kept up. It feldom rifes to more than 4 or 5 degrees in the Emperor’s apartments, owing to the double row of bricks, but the warmth is very gentle and very penetrating. As a Kang is heated by a furnace, any kind of fuel will do, vi%. wood, charcoal, fea coal, furze, &c. The Chinefe make the mofl of every thing. In the palace they burn nothing but wood, or a kind of coal which neither fmoaks nor fmells, and burns like tinder. The generality of people burn fea coal : the poor in the country make ufe of furze, flraw, cow dung, See. A great faving may accrue from the following ob- fervation •, the Chinefe, to fave coals, pound them to the [ 67 ] the fize of coarfe gravel, and mix them with one third, or even an equal quantity, of good yellow clay. This mixture being well kneaden, they make it up into bricks, which (Irike a greater heat than wood, and come incomparably cheaper. The fea coal thus tempered is far lefs offenfive ; and befides, the Chinefe, in order to draw off the noifom vapours of the air, conftantly heated by the coal fire, always keep bowls of water in the rooms, and renew them now and then. The gold fifhes that are kept in thefe bowls are both an ornament and amufement. In the palace, the Emperor’s apartments are decorated with flower pots, and little orange trees, &c. The Chinefe philofophers pretend that this is the beft way to fweeten the air, and abforb the fiery particles dif- perfed in it. They likewife leave two panes open night and day at the top of each window, to re- new the air, which they think is too much rarefied by the heat. Thefe particulars may appear too trifling to be laid before the Royal Society j but, as they relate to the prefervation of their fellow citizens, we hope the worthy members will make allowances in favour of the motive. 5. The Kang is attended with many advantages and conveniencies. 1°, The rich and great are not expofed to the troublefome attendance on a fire in the chimney, and enjoy all its benefits. 2°, The poor ufe all forts of fuel without any other expence than what the kitchen requires, and have the comfort of fitting warm by day, and lying warm by night. The fire in the furnace ferves to drefs vidtuals, and to heat the ftove. The poor go further flill : they enclofe within the brick work of the Kang a veflel, either K 2 of 6 [ 68 ] . of copper tinned, or of iron, which fapplies them with hot water for their tea. This water evaporates in the night, moiftens the air of the room, and ab- forbs the noxious particles of the fea coal. We cannot forbear dwelling upon thefe little ceconomi- cai obfervations, as our aim is public utility. The Chinefe are wont to fay. The Emperor can build a palace, and cannot make a flirub ; one word from his mouth makes a nobleman of a mere citizen, but ail his wifhes and prayers cannot prolong the lives of his favourites one iingle moment. It is not our part to point out what ufe might be made of the Chinefe Kang beyond the feas j but we apprehend that the Ti-Kang might be a profitable improvement for hofpitals, manufactories, &c. and a pleafing one for the rich. The To?ig~Kang pro- perly managed would do very well in upper rooms, and would afford warmth for the bed-chamber, and fire for the drefling-room. The Kao-Kang feems lefs adapted to the cuftoms and manners of Europe, but induflry might find fome ufe for it in the coun- try. Should the Kang be rejected on account of its novelty, fome hints might ftill be taken from its conftruCtion for the ufe ot feveral kinds of handi- craft. The Chinefe fea coal may give fome infight into the formation, qualities, ufes, and nature of this fingu- ra! folhl; but this would require a feparate paper. All we fliall here obferve is, that, as far as we can, judge from the famples we have feen, it feems for the moft part to be a ftone diffolved by the waters, and impregnated with fulphur. Its hurtful qualities proceed from a mixture of antimony, copper, iron, See. [ ] &c. The beft coal, and that which burns fierceft, is glolTy, hard, and brittle. The Chinefe are very fond of that fort that flies, and fnaps in the fire, to burn in their forges, becaufe it contains a great deal of falt-petre. When the flame is blue, it is very fierce, but it is too dangerous, as the fulphur is too predominant. Peking, 22 Odt. 1769. P. S. If we have expreffed ourfelves improperly, which would not be very furprizing, confidering how little we are verfed in thefe matters^ and how little time we can fpare for Europe, we are ready to re- trad: whatever may be thought amifs, and to give what further informations may at any time be de- fired. Whoever has fo loved the Chinefe for ChrifPs fake as to come and feek them in this far country, has not divefled himfelf of his attachment to Europe, and will ever be folicitous for the welfare of thofe he has left behind, and endeavour to promote it, both by their prayers, and imparting whatever may con- duce to alleviate the mileries of this Ihort life. In what a ftriking light do we here fee the vanity of the world, the intoxication of philofophy, and the wretchednefs of thofe who know nothing of Jefus Chrift ! Learning, vice, and idolatry, go hand in hand in the fandiiary of policy ; which knows nothing but the Creator of the world, whom the Chinele worflflp on their knees, and difhonour in their lives. As [ 70 ] As there is room left in the box that contains the model, we have put in fome little fpecimens of fea coal. N° A. I, 2, 3, different forts of fea coal, or ra- ther ftones diffolved, and turned to coals. N° B. I, 2, fea coal, fuch as is burnt here. N°. 2 is the beft. N° 3. is the fame coal turned to black lime. This you may be convinced of, by diffolving it in water, and mixing it with white lime. N"* C. I, 2, 3, 4, feveral degrees of bad coal, which produces a dangerous fmoke that occafions fainting fits. N° 4. is the worft, and is ^laid by for the ufe of forges, whenever it is found. N° D. is a kind of Clinker, extradled from the afhes of fea coal. That which produces the greateft quantity of it is reckoned the beft. If the Society fhould be defirous of further in- formations concerning the fea coal, we muft beg to be favoured with particular queftions ; but let it be remembered, that we are not within reach of fuch helps as chemiftry would afford, nor can elucidate the matter by experiments. IX, Account [ 71 ] IX. Account of a rema7'kable l^himder Storm In a Letter from the Rev. Anthony Wil- liams, ReEior of St. Keverne, in Corn- wal, to the Rev. William Borlafe, D.D. F. R. S. Dear Sir, Keverne, Aug. 27, 1770. Read Feb. 7, T HAVE received yours, which, I muft confefs, I ought to have anrwered much fooner. For leveral days before the thunder ftorm which fell on St. Keverne fpire and church, on Sunday the 18th day of February laft, the wind was very hard at North and North Weft, accompanied with violent fhowers of hail, which had done fome damage to the roof of the church, and many houfes in the church-town. On the Sunday morning above-men- tioned, the wind being at North-weft, from five o’clock during almoft the whole day the wind was exceftive hard j and about fix, I faw fome few faint flafhes of lightning, which, as the day came on, if it continued, became imperceptible. The weather being fo bad, prevented a great nurnber of people from coming to church, which in all human probability was a happy circumftance j for, about a quarter • • C 72 ] quarter after a eleven o’clock, while I was in the latter end of the Litany fervice, we had a very fierce flafh of lightning, followed at the difiance of about four or five feconds by the loudeft thunder I remem- ber ever to have heard ; but which did no damage, nor Teemed in the leaft to difiurb any of the congre- gation, though at the fame time the roof of the church was rifling, and the hail made a noife ter- rible to be heard. In half a minute after this, as near as I can pofiibly guefs, the whole congregation, except five or fix perfons, were at once ftruck out of their fenles. I myfelf received the Ihock To luddenly as not to remember I either heard the thunder or fiw the lightning : the firfi; thing that I can recolledl with any degree of certainty is, that I found myfelf in the vicarage feat, which is very near the defk, without either gown or furplice, bearing in my arms as I then thought a dead fifier, and God knows it was a miracle that The was not fo; 1 perceived a very ftrong fulphureous fmell, almofi; fuffocating, and a great heat. At this time the confufion among the congregation was inconceivable, Tome running out of the church for fafety, and returning into it again (for the ftones from the roof were falling on our heads, both in and out of the church) ; fome on their knees, imploring the divine affifiance, giving themfelves up to certain deftrudtion ; and a great many, in different places of the church, lying quite motionlefs, whom I thought then to be quite dead. In the afternoon, my thoughts being a little com- pofed (I believe for full two hours I could not be laid to be rightly in my fenfes), I walked to the church, to fee what damage was done j and fuch a fcene C 73 ] fcene prefented, as is horrible to think of, much more to fee. The church-yard was almoft full of ruins i the fpire, which was about forty- eight feet high from the battlements of the tower, was carried off half way down, and the remaining part cracked ' in four places very irregularly down to the bottom. The north fide of the tower from the battlements to the arch of the bell chamber window was quite out, except the corner fiones, which remained firm and unremoved ; the lead on the top of the tower was greatly damaged, melted in feveral places, and as it were rolled together. The arch of the belfry door, which was very flrongly built with a remarkable hard iron fione, laid in lead, was alfo greatly damaged ; fome of the fiones were cracked crofs-ways, and jufl removed out of their places, others were quite hove out, and the lead between the joints not only melted, but loofened fo as that you might pick it out witlv your fingers. The traces of the lightning were here difcovered along the furface of the earth j the fiones were thrown from the fpire on the tops of many houfes in the Church Town, but did no great hurt; in a gentleman’s houfe, one flone weighing fourteen pounds fell through the roof into the chamber, but did no further hurt than to make a hole in thereof and plaiflering. It is to be obferved, that the fiones from the fpire were fcattered in all diredions, as well againfl the wind as with it, fome of which, but not very large, were found but a little fhort of a quarter of a mile. The fpire from the top fix feet downwards was folid, through which paffed an iron fpill to fix the weather-cock on. Did not the light- ning firfl flrike on this fpill, and was conducted VoL. LXI, L through [ 74 ] through the folid part of the fpire, and, having not iron to condudt it any further, burft in the hollow part of the fpire, and threw the ftones about in all directions ? It is remarkable that the fpill was found in the bell-chamber, and the weather-cock in the battlements j and that the bells were not in the lead damaged, though a deal board, that lay acrofs the beams to which the bells were hung, was fplit long ways in two pieces. The infide of the church dill prefented a much more horrible fpeCtacle j the roof of the church was almoft all gone, and fome of the timber work in the north ifle fliattered to pieces ; every feat in the church had rubbifli in it, fome more fome lefs, and Hones of large fize, fome of 150 pounds weight and upwards, fcattered here and there amidd the congregation, which damaged the feats, &c. but did Ro hurt to the people, though they fat in thofe very feats where the ftones fell. The lightning en- tered at the three ends of the church at Weft, made its way through the body of the church*, and went out through the three ends of the church atEaft ; the holes where it came in and where it went out are not large, neither are the walls much damaged. The belfry window was (battered to pieces, not one whole pane I believe to be found in it j many other win- dows alfo differed greatly, the glafs and munnions being much fhattered. ,.The lightning entered alfo through two places in the roof, one near the fing- ing loft, and ftruck upon the top of a pillar juft by it j the traces of it are to be feen from the top of the pillar almoft to the bottom : there were then fitting by this pillar two young men, one in the fing- ing loft, and other under him in the church, who were [ 75 ] were both lightly fcorched ; he in the loft from head to foot, and the other in the face only : but it is re- markable that his hat, which hung on a nail juft above him, was cut in two pieces. In the other place, the lightning entered juft over the defk and pulpit, and fell in like manner on a pillar that ftands in the vicarage feat j but here it was a great deal more violent, and, as the object of its fury was my lifter, I hope you will excufe my being very particular. Upon this pillar refted a large oak foil, the bottom of which was burft into fix pieces, and one of the pieces, be- ing a very large one, was thrown from its place to the diftance of about 20 feet, and appeared to be burnt, the other pieces did not fall. From thence the lightning came down the pillar with great force, tore the feat into many pieces, knocked down my fifter, and made its way through the bottom of the feat into the earth. She had pattens on, and the wooden part of one of them was broke into three pieces j the holes, through which the ribbon is put . to tie them together, were quite burnt out, and the ribbon found in the feat without the leaft damage, or fo much as the knot loofened j her Ihoe was burnt, and rent from the toe to the buckle j but the buckle, which was of filver, remained unhurt j her flocking was burnt and rent in the foot, juft in the fame manner as her Ihoe, and fcorched along to the garter, and two little holes were burnt through in the leg of it: her apron, petticoats, &c. were burnt through and through, and Ihe had feveral flight burns on fe- veral parts of her body, befides two bruifes on her head and breaft, caufed by the rubbilh that fell into the feat. As Ihe was carrying out of church, flie L 2 greatly [ ?6 ] greatly complained of a deadnefs in her legs, which, as Ihe could not move them at all, I fuppofed were broke j however, they were not broke, only a little burnt, and turned as black as ink ; which, by timely care, not only came to their natural colour by Tuefday noon, but could fupport her alfo to come down flairs ; and, excepting a hurry of fpirits, grew quite well that week. Not more than ten perfons out of the whole con- gregation were hurt, and none of them to any great degree j one young fellow, who was more frightened than hurt, remained ill a long time, but I believe he is now quite well ; the lightning touched his watch in his pocket, the marks of which may be feen on the crydal and filver part of it to this day. Nobody remembers to have heard any more thunder, or feen any more lightning after this, though the weather continued very ftormy all that day ; fo that this thunder ftorm, from beginning to end, could . lafl but a very fhort time. The damage we fuffer by it (which is now repairing), will amount to about 450 1. Thus, Sir, I have given you a particular accouPit of this dreadful accklent, by which a great number of people, had it not been for the favourable, I may fay, miraculous interpohtion of Providence, mufl in- evitably have perilled. It mufl really excite our wonder to confider that not only not one life was loft, but that no perfon was hurt to fuch a degree as to. confine him for more than two or three days, I remember to have feen an obfervation of yours r “ How deplorable would be the confequences of fuch “ blafts of lightning, if they happened where are large 1 [ 77 ] “ large congregations in time of divine fervice!” Here you fee, Sir, they have happened under the very cir- cumftances in which you then thought they muil prove fatal. But Providence has let us know, in this remarkable cafe, that, let the danger be ever fo great, and feemingly to us unavoidable, yet he is willing^ as well as able, to fave us. I am, dear Sir, Your moft obedient, humble fervant, Antb. Williams. X» Letter [ 78 ] X, Explication of an inedit ed Coin^ with two Legends^ in different Languages^ on the Reverfe. In a Letter to Mathew Maty, M. Z). Sec, R. S, from the Rev, John Swinton, B, D, F. R, S. Cujlos Archive- rum of the Univerfity of Oxford, Mem- ber of the Academy degli Apatifti at Florence, and of the Etrufcan Academy of Cortona in Tufcany. Good Sir, Read Feb. 7, ^ | ^ H E Coin I fliall here attempt to explain on one fide (See Tab. III. n. I.) prefents to our view the head of Jupiter, and on the other the prow of a fliip, which in- dicates the place wherein it was flruck to have been a maritime town. Above the prow of the fhip, we fee two characters, that are either Punic (i)or Phoenician. I fay, either Punic or Phoeni- cian, becaufe it may not perhaps be fo eafy to de- termine whether that town was occupied by the (i) From the prefent ftate of the Kabyles we may infer, that the ancient Africans, or Indigenae, their progenitors, muft have been a-very rude uncivilized people, at the firft arrival of the Carthaginians amongft them. It is therefore utterly impro- bable, that they ever ufed any alphabetical chara£l:ers, before the Phcenician letters were introduced into their country by the Carthaginians ; or that any other characters, peculiar to them- felves, and different from the Punic, ever afterwards prevailed amongft them. I cannot therefore but think, that thofe learned men who fuppofe the reality of fuch characters are egregioufly miftaken, as they can have nothing to advance in fupport of fuch an opinion. Shaw, Travels^ (Sc. p, 288, 289, Oxford, 1738. Peller. Suppl, quatr, (S dcrn, p. 55. A Paris, 1767. Cartha- C 79 3 Carthaginians, or the Phcenicians, and the Romansj when the piece firft appeared, Befides the two above- mentioned charad:ers, there is a monogram, formed of the three Latin letters V, A, B, very indifferently pre- ferved, in the exergue, with which the Punic or Phoe- nician elements perfectly correfpond. Forthefecond of thofe elements is manifeftly the moft common Punic or Phoenician form of Beth, and I have many years fince proved the firft (2) to be a form of the Phoeni- cian and Samaritan Vau-, and (3) obferved, that though it fometimes anfwers to V confonant, it is like- wife not feldom taken for Beth, or B. Nor is this to be wondered at, as thofe two letters fo nearly in power approach one another. The middle element of the monogram. A, has nothing equivalent to it in the Punic or Phoenician infcription j that vowel, in conformity to the genius of the oriental orthogra- phy, between the two confonants, being there fupprcffed. But the two Punic or Phoenician cha- radfers, and the Latin monogram, clearly enough demonflrate the name of the town where the piece was flruck. The monogram feems to be preceded by a fort of date in the exergue,, which refembles the charadters l£XI, but, as thefe charadlers are ill pre- ferved and indiftindl, I believe the powers of them will not be fo eafily afcertained. From what has been here laid down, the learned will eafily admit the medal in queftion to have been ffruck at Vabar, a maritime city of Mauritania Caefarienfis, after that place had been ceded to the Romans, and was inhabited by them, and either the Carthaginians or the Phcenicians. Vabars i mention- (2) De Num. quibufd. Sam. et Phcen. Dijferi. ?• 73> 74- Oxon.‘ 1750. (3) Ibid. p. 74. ' 7 ed [ 8o] ed by (4) Ptolemy, but in his days feems to have been a place of no confiderable note. It, however, probably made a greater figure, when inhabited either by the Carthaginians, or the Phoenicians, and the Romans j for that it was occupied by two at leaf! of thofe nations, when the medal before me firfl ap- peared, the legends on the reverfe, though fomewhat imperfedt, render fufficiently clear. That the Car- thaginians were pofiefied of this city in ancient times, is coiifonant to the faith of hi dory ; fince they were niafters of all that part of Africa extending from the pillars of Hercules, or (freights of Gibraltar, to the greater Syrtis, for a confiderable period of time, as we, learn from (5) Polybius. And that the Phoenicians were mafters of it in early times, is equally probable. For that they occupied the fea-coa(f of IVlauritania, from at lead the generation immediately preceding Homer to the time it fell into the hands of the Romans, we are informed by Strabo (6). It cannot therefore be eafily determined, as already obferved, whether the piece in quelfion was ft ruck by the Phoenicians or the Carthaginians. It muft, however, be attributed to die town of Vabar, when inhabited by either the Carthaginians or the Phoenicians, not improbably the latter, and the Romans ; the two legends on the reverfe, as well as the perfedf agree- ment between them, rendering this inconteftably clear. That the piece I am confidering was either of a Punic or an Africo-Phoenician origin, may be deemed probable from hence, that it exhibits a Latin legend (4) Ptol. Geogu Lib. IV. c. ii. (5) Polyb. Megalopolit. HiJioriar.JJih. iii, p. 266, 267. Am- ftelodami, 1670* (6) Strab.G<’e^r.Lib,iii.p.i5p, i5i.Lutetiffi Parifiorum, on [ .] on the feverfe, as do Teveral other Punic or Africo- Phoenician coins. This appears from fome of the medals of the elder Juba, one of Achola, and another of Leptis, now in my fmall colle^lion ; to omit other fimilar iniftances, that might, with great facility, be produced : whereas, unlefs I am greatly deceived, none of the Afiatico-Phoenician coins have ever yet prefented to our.view any Latin charaders. This is an additional proof in fupport of what has been here advanced i and feems farther to ovince, that my medal muft be affigned to the town of Vabar, and was flruck there, when that place was occupied by either .the Carthaginians or, the African Phoenicians, and the Romans j though the time of that operation cannot, with any tolerable precifion, be afeertained. I fliall only beg leave to add, that though Vabar was a place of no great note in the days of Ptolemy, it feems to have been a town of fome confideration in the earlier times, as (7) Dr. Shaw faw fome ancient ruins on the fpot where it formerly flood j that a coin of this ancient city has never yet, I believe, been communicated to the learned world j that the medal before me, which at prefent has a place in my fmall cabinet, is one of thofe very few Punic or Phoenician. coins that are adorned with a Latin legend, * and confequently merits the particular attention both of the curious and the learned; and that I am, with the higheft regard, SIR, Your much obliged and mofl obedient humble fervant, Chrift'Church, Oxon. Sept. 28, 1770. (7) Shaw, ubi fup. p. 89. Oxford, 1738. VoL. LXL M XI. Remarks John Swinton* f 82 J XL Remarks upon^ Two Ltm{c2iViTFeightSy or Coins ^ never before publijhed, Irt a Letter to Mathew Maty, M, D, Sec, R, S, from the'. Rev, John Swin^ toDy R. Li R. R, S, Cufos ^rchivorum of the Univerfty of Oxford, Mhnber of the j4cademy degli Apatifti at Florence^ and of the Etrufean Academy of Cortona in Tufcany. Good Sik, L •Jlead Feb. 7 J771. The firft piece to beconlidered here is sn Etrufean as, (See Tab. HI. n.2.^ or weight, exhibiting on one fide the head of Janus, covered with a cap; and on the reverfe a club, attended by the mark of the As, and the legend I <0 fl j 3 3 m Etrufean charaflers. Between the ^ r^-es of Janus, the head ol a bufolo, or wild ox, prelents itfelf to our view, as does alfo a fort of concha marina, or fea-rtietl,' foihewhat refembling one on a’ didrachm ot Tarentum, in my finall cabinet, and if'’ '7- “‘"s. contiguous to the cap ; teth of which have, not a little; fuft'ered from the injuries of time. The letters on the reverfe are iDorp [ 83 ] 'fnore rude and barbarous than thofe of any fimilar Etrufcan coins hitherto publidied, Vv'hich is an incon- teftable proof of the exceeding high antiquity of this piece. The forms of feveral of them are likewife fome- what different from thofeofthe correfpondent elements on all the other fimilar Etrufcan weights, hitherto com- municated to the learned world. The concha marina, and perhaps the bufolo’s head, is a Angularity that will announce the weight before me an inedited coin. The piece weighs precifely five ounces, and twelve grains; and is, in all refpedts, except what re- lates to the concha and bufolo’s head, tolerably well preferved. The firft riches of mankind were their flocks and their herds, and particularly their (i) oxen. Hence the firfl: money in Italy, from pecus, was (2) called pecunia, and the mofl; ancient brafs coins had the figure of an ox (3 ) impreffed upon them. Hence alfo the Greeks, in the days of Homer (4), eflimated the value of their properties according to the number of oxen they were equivalent to, as we learn from that celebrated poet. For he informs us, that Glaucus’s golden armour was worth an hundred pxen, whereas that of Diomedes, for which it was fi) Erafm. Frolich. Notit. Elementar. Numifrn. Antiqmr. ^c,’ p. 2. Viennae, Pragae, & Tergefti, 1758. (2) Plin. Nat. Hijf. Lib. xviii. p. 98. 1. 6, 7. & Lib. xxxiii. p. 610. 1. 6,7. Ed. Hard. Parifiis,-i723. Fiol. ubi fup. et alib. Una lettera del Annib. degli Abati Olivieri al Sig. Abate . Barthelemy^ (3’c. p. 28, 29. In Pefaro, 1757. Ezech. Spanhem. De Uf, et Prajlant. Num’fmat. Antiquor. Diflert. prim. p. 23. Londini, 1706. (3) lidem ibid. (4} Horn. II. z. 235, 236, 237. Vid, etiam Euftath. in loc. M 2 exchanged, [ 84 ] exchanged, did not exceed the value of nine of thofe'. animals. The figure of the ox on the moll ancient money Teems to have been Toon converted in Etruria - into the Tymbol of the head of that beall connedled with the head of Janus, who is (5) faid to have firfl introduced the ufe of money into Italy. The head* of the bufolo, or wild ox, may, as I conceive, have appeared on Tome of the mod ancient coins of Tuf- cany, and particularly the piece I am at prefen t con- fidcring, becaufe the bufolo was formerly, and is dill,, a native of that country. When I redded there, above thirty years dnce, the w'oods between Leghorn^ and Pifa abounded with them. They were then likewife faid to have been very numerous in other parts of Tufcany, and La Romagna and feveral of them, at different times, both tamed and wild, I’ myfelf have there fecn The reafon here mentioned Teems to extend to other remains of antiquity of the Etrufcans beddes their coins, on which the head of the bufolo appears, as the (6) authors here referred to have rendered fufficiently clear. From what has been obferved, as well as from the thicknefs, high relief, and extreme rudenefs of the workmanffdp, or rather in conjun(dion with thefe, we' may conclude, that our As is either coeval with fome (5) Cytberlus Poet, apod Athen. Deiprtofoph^ Lib. xv. (6) Anton. Francifc. Gor. Muf. Etrufc. Tab. CXXIII. Rami!ton*s Collet, of Etrufe. Gre^k^ and Rom, Antiqu, Vol. 11. pi. 63. 1 havea £ne Etrufean Vas Potoiium, (See Tab. III. n.3.) ending in a bufolo’s head ; which, as I apprehend, fosmcrly be- longed to Caidinat Giiahieri ; as alfa another, terminating in (See Tab. III. n. 4.) the head of a gray-hound, fimilar to one publilhed by Mr. Hamilton, which had likewife a place alBgned it in the Cardinal’s coilcdlion of Etrufean antiquities. I bought Voth of them of Sig. Barazzi, at Rome, in 1733. Han>ilton's Etruf^Greeij amlRom. AutiqwtxVo], 1, pi. 49. . f ^5 ] of the earHefl pieces, or weights, ever ufed in Italy, or but little poherior to them. Father Gori (7) Teems to be of the fame fentiments with me, in this parti- cular; and neither Sig. (8) Olivieri, nor any other writer, has invalidated, or difproved, what has been advanced on this head, by that celebrated author. That the weight here confidered is to be affigned to a maritime town, the concha marina, or fea-fhell, Irre- fragably proves. I Thould therefore, with the very learn- ed Sig. Olivieri, rather attribute it to Volterra, than to Velitr£e(9), at prefent called Velletri, as Father Gori (10) Teems to have done. For Velitras was a town of Latium, and much leTs confiderable than the city of Volterra; which (ij) was the moil: ancient city of Etru- ria,the Teat of a lucumo, and one of the moTt conlider- able places in T uTcany. It was alTo a maritime city ( 1 2), (7) Anton. Francifc, Gof. MuJ, Etrufc. Vol. II. p. 419,.'' «t alib. Florentine, vi 737. ■ (8) Sig. Oliver, Una Letera, In Pefaro, i757." (g) Annib. degli Abati Olivieri, in Efame della Controverfia' htteraria^ fopra il Miijeo Etrufcoy /lampaia- negli Opufcoli Jdentificiy Tom. XXI. et ubi fup. p. 43. , The old Etrufcan word VELATRI, FELATRI, or FELATERI, feems^tohave beer» tolerably well preferved in the name of Monte Veltrajo, or Fcltraio, a mountain in the territory of Volterra, and about cv.'o miles from that city. This, as I apprehend, may be conftdered as an additional argument in fupport of Sig. Olivieri’s and. Monfignore Mario Guarnacci’s opinion. Noti-zie Iftorich. della iltta d'l Volterra^ oper. del Sig: Lorenz. Aul. Cecin. dal Cava/, Fjamin. Dal Borgo, p. 44.J 49.^ In Pifa, 1798. Monfig. Mar. Guarnacci, in Origin, Italich, In Lucca, 1767. (10) Anton. Francifc. Gor. Muf, Etrujc. Vol. II. p. 427. - (11) Chrift pb. Cellar. Geogr. 4nt. Lib. II. c. ix. fedt. 2. p, 573, 574. Llpl'iae, 1731. Vid. etiam Tho. Dempft. De Eiriir, Regal, et Anton. P'ranaic. Gbr. Muf. Etrufc, palT, . (tg) Strab. Lib. V, p. 223. Lutetiae Paniiorum, i620» as [ 86 } as we learn from Strabo, being feated not far from the Vada Volaterrana, near the place w’ere the river' Cascina threw itfelf into the Tyrrhenian fea. I would therefore read the legend, on the reverfe of this coin, ■ FELATHERI, FELATERI, or FELATERRI ; the fifth letter being (13) lometimes endued with the power of T'heta^ and lometimes with that of 'Tau ; and" a duplication of confonants, in writing, having been unknown to the mofi: ancient Etrufeans. That the vowel E, between the fifth and lixth elements of the Tufean legend, on the reverfe hereon, fliould be fup- prefied, or omitted, w'ill not be any matter of furprize to thofe who are apprized, that fuch a fuppreflion, or o- midion, fo confonant to the genius of theHebrew and Phoenician orthography, from which that of the moft (14) ancient Etrufeans could not have greatly differ- ed, in old Tufean words, does not feldom (15) occur. Of this MENLE, HERCLE, MELACRE, PHVLNICE, MENREA, which were read ME- NELE, or MENELAE, HERCVLE, MELE-' ACRE, PHVLVNICE, MENEREA, or MENER- FA (i6), are convincing proofs; to omit many other fimilar inftances, that might, with great facility, be produced. But this is fo fettled a point, that it (13) Anton. Francife. Gor, Muf. Etrufe. Vol. II. p. 408, 409- ( 14) Svvint. De Lingua Etrur. Regal. Vernac. Dijfcrtat. Oxon. 1738. (15) Phil, Bonarot. Tho. Dempft. et Anton. Francife. Gor. ul i fup. pair. Vid. etiam Joan. Bapt. PalTer, Pilaurenf. Hellenifm, Eirufeor, in Symbol. Litteran. i^c. Vol. II. p. 33 — 73. Florentise, 1748, Sc Carlo Antonioli in Antic, Gem, Etrujc, fpiegat. illujlrat. lAc. p. 70 — 78. In Pi fa, 1757. (16) Ildem ibid. 4 will f 87 ] will not be conteiled in any part of' the learned, world. ii:. The fecond piece, or weight, of ‘which I propofe to ’ give an account in- this paper, is a ftips uncialisj (See Tab. JII, n. 5.) as appears both from the weight and fize of it, of the earlielt date. I received it, as a prefent, > from my worthy friend James Gilpin,. Efq; late re- corder of the city of Oxford, with feveral other ancient brafs coins. On one fide it has preferved the head, or rather a full face, . of the ^ fon ; the workmanfhip • of which is more rude and barbarous than that of any other fimilar piece- that ever fell under my view, and done pefeCtly in the mofl ancient Etrufcan tafce. The reverfe had originally on it the prow of a .fhip, which has been fo totally effaced- by the injuries of time, that only a very few exceeding faint traces of if'are now to be feen. The relief on the face -fide iS'-very high, as was undoubtedly at fiffl'that on the- other; but the. reverfe being in a manner* quite I'moothed, nothing there remains but the veftiges of the prow of a fifip, that are barely vifible. How- ever, juff over the prow, we may difcover- clearly enough the legend in Etrufcan charac- ' ters, though but very inditferentiy preferved. That - * We meet with a- full face of the fun pretty much refembling' this on a lienarius of the Plau.ian family, but done in a much more elegant talfe ; which demonftrates it to be valfly inferior, in point of antiquity, to t le piece I am now offering my thoughts upon. Sig. Havercamp. Thi'faur, Morel. Tom. II, p, 329, Amiidaedami, 1734. word- [ 88 ] word is apparently equivalent to ROMA, and con- fequently the piece itfelf muft be deemed an uncia, or Rips uncialis, of Rome, though the globule, or > uncial mark, has not efcaped the ravages of time. That the piece in queftion is an uncia of Rome, ^appears not only from the legend on the reverfe, as juft obferved, but likewife from another uncia of Rome, with the full face of the fun upon it, as here, though done in the more modern Roman ^afte, now in my fmall colledion. That uncia is likewife, I doubt not, in feveral (17} other colledti- onsi being, as I apprehend, a pretty common coin. The fame conclulion is likewife deducible from another Roman uncia, with the word ROMA, juft above (See Tab. III. n. 6.) the prow of the Ihip, on the reverfe, in the very fame fituation as the Etrul- can legend on the weight before me, in my little • cabinet. We may therefore fafely enough pronounce the coin here'deferibed a ftips uncialis of Rome, of -a very remote antiquity, with the Etrufean name of ..that capital of the world on the reverfe. The Etrufean letters were, undoubtedly, the firft alphabetic charaefters of Italy. Nay, they prevailed at Rome, and in every part of Italy, till after the regifuge. This I have fully proved in a Latin (18) (17) Scipionis MafFeii Origin. Etrufe. & Latin, p. 6i. Tab. ' II. Old. II. n. ii. Lipfiae, 1731. •Annib. degli Abati Olivieri in ‘Indice Delle Antichijf. Monete di Bronzo Rotnane lA Italich. ubi -•fup. p. 53. In Pefaro, 1757. See Have rc, in Rom. Tab. III. n. 4. (18) De Prifeis Romanorum Literis Dijfertat. Oxon. 1746. , Many curious particulars are deducible from the point here in- filled upon. To omit others that occur, from hence it plainly follows, that tliofe infcriptions on the Eugubian tables confifting of Latin letters, or the more mpdern charadlers of Italy, /are . * diftertatlon, [ §9 ] diflertatlon, printed at Oxford, in 1746. The piece at prefent engaging my attention is an additional, or rather an apodidtical, proof of the truth of what was there advanced. It demonftrates the Etrufean letters to have been ufed at Rome, in very early times j and confequently evinces, in the ftrongeft manner^ the principal point infilled upon in that dillertation. The time when the medal I have been confider- ing firft appeared, for want of proper chronological charadters, and fufiicient light from hiftory, cannot, with any precifion,be afeertained. But, from a per- ufalof the Imall performance (19) above-mentioned, and what has been offered here, we fhall, I believe, be induced to conclude, that it is at lead coeval with the regifuge, which happened in the year of Rome 245 ; or rather, as I fhould apprehend, that it may be a confiderable number of years anterior to that event. The two brafs coins above deferibed being ex*^ tremely curious, efpecially the fecond of them, an Etrufean coin of Rome having never been heard of before; and many curious points being deducible more recent than the regifuge. Nay, in the dilTertation here referred to, they have been demonftrateJ inferior, in point of an- tiquity, to the Dailian infeription ; and confequently Father Gori muft be egregioudy mittaken, when he makes aj.l the in- feriptions on thofe cables fome generations older than the*Trojan war. See the Unlvcrfal Hi/iory^ Vol. XVI. p. 48. Lond. 1748. It may not be improper to remark here, that the Etrufeans had not the letter O in their alphabet, but conltantly made ufe of V for that element. Flence it came to pafs, that the Etrufean name of Rome was not Roma, but Ruma, as it appears on my very ancient coin. Philofoph, TranfaSi, Vol. LVIII. p. 256. De Pri/c. Romartor. Lit, Dijfertat. p. 6, 7, 8, g, lO. Oxdn. 1746. Vol. LXr. N from [ 90 ] from that coin, which I have not time at prefent even to touch upon ; I was willing to flatter myfelf, that , the fliort account of them, in this paper, would not be unacceptable to the Royal Society, I have there- fore taken the liberty to tranfmit it to you, in order to its being laid before that very learned and mofl: illuftrious body ; and am, with great truth,^ Good Siry Your much obliged, and moft obedient, humble fervant. Cbrift- Church, Oxon, 3ept. 29, 1770. John Svvinton, XII, InUrprz* C 9* ] XII. Interpretation ofl*wo Punic Infcriptions^ on the Reverfes of two Siculo-Punic CoinSy publifhed by the Prince di Torremuzza, and never hitherto explained. In a Letter to M. Maty, M, D, Sec, R, S,from the Rev, John Swinton, B. D, F, R, S. Cujlos Archivorum of the Univerfity of Oxford, Member of the Academy degli Apatifti at / Florence, and of the Etrufcan Academy of Cortona in Tufcany, Dear Sir, Read April II, rnp^ H E two Punic legends, of which 1771* Jl^ I am now to attempt an interpre- tation, have been publifhed, together with five others, by the Prince (1) di Torremuzza, in his volume of ancient inferiptions, printed at Palermo, in 1769. As the coins, on which they have been preferved, feem extremely curious, and' are unnoticed by any other author ; the Royal Society will indulge me the liberty of tranfinitting them my fentiments of thofe very valuable remains of antiquity, in this paper, drawn up in the fhorteft and mofl: concife manner poffible. ( 1 ) Sictl. et oljacent. infular. veter. infeript, nov. coIleSi, dff c. tlair. XX. p. 292, 293. Panormi, 1769. N 2 The C 92 ] I. The firftof thefe minute infcrlptlons, (See Tab. Ill, n. 7.) which is the firft of thofe published (2) by the Prince di Torremuzza, in the place here referred to, adorns a fine Punic tetradrachm,as it fhould feem,,weli enough preferved ; which on one fide prefents to our view the head of a woman, and three fifiiesj but, on the reverfe, the head of an horfe, behind which fiands a palm tree, attended by an infcription, in the exergue, formed of feven Punic letters. The workmanlhip, as well as the types, is probably fimiiar to that of the filver medals of Menas, by me deicribed and ex- plained, in (3) one of my former papers. The firft of the letters, of which this infcription is compofed, will be allowed an Ain of the ufual Punic form. This may be collected from the (4) coins of Menae, juft mentioned, as well as others, that might eafily be produced. The fecond feems to ht Nun» But it has been inaccurately taken, and is in reality Mfm. This is likewife clearly evinced by the (5) legends on the reverfes of other fimiiar Siculo- Punic coins. The third is undoubtedly the Punic (2) Ibid. p. 292. (3) Philofo-ph. "TranfdSl. Vol. LIY. Tab. xi. n. i, p. 99, 404, (4) Phitofopb. 'Triinfail. ubi (up, (5) Philofoph. Tranfaf.U ubi hip. D. Bernard. Aldret. Var. Antiguedad. de Efpan. i^c. p. 177—180. D. Vincen. Juan de I.altanol, Afuf. de las Alednl. dtjeonoetd, Efpan ol, f ab. 45, Eii H icfca, 1645- keJler. Recueil de Adedaill &c. I'orn. Trois. p, pb 88. 1!. 5. A Paris, 1 763. A'Icmoir. de Litterat. de PJeetdem, ties injeript. iff Pell. Letir. isc. Tom. Ticnuem. p, 417. pi. ii. 8, 9» 10, X2. A Parisj 1764. cr TAB.ni.71.2, TAU.m.iu?. ['93 ] orPoenician Samech (6), nearly as it appears In the fa- mous Maltefe infcription, and not unlike the form of that element exhibited by oneof thofe found at Citium, now in the Bodleian Library, Oxon. The fourth and hxth are fo (7) like the Punic and Phoenician Ghimel that they cannot well pafs for any other ele->- ment. The fifth is manifefUy Hheth (8), though it fee ms to have fomewhat fuffered from the injuries'of time. The feventh (9) greatly refembles the -mod: common figure of .and therefore we cannot be much miftaken if we take it for that letter^.. The powers of the Punic charadfers forming the in- icription ffanding thus, we may, I conceive, ^ read the whole AM SEGHEGT, or SEGEGTH, which is but a fmall variation from the word SEGESTE, or SEGESTA, the Greek and Latin name (i o) of a con- liderable maritime city of -Sicily, not far from Eryx, where money was coined, after the Greeks (t i) had pofTeffed thcmfelves of the place. The medal there- fore adorned with this minute Punic., infeription may, without any impropriety, be fuppofed to have been emitted from the mint at Segefta, as the Punic words, AM SEGHEGT, or SEGEGTH, POPVLVS SEGESTANVS, appear upon it, when the Cartha- (6) Fhilcfoph. Tranfa^, ubi fup. VoJ. LIV. Tab. xxii. p. 294* Memoir, de Litterot, ubi fup. (7) Phibjoph. Tranfadi. ubi fup. I'ab. xxiv. p. 408, '4C9. (8) . Philofoph. TrcinjaSi, ubi fup. p. 404. & Tab. xxiv. {9) Philojoph, Tranjadl, Vo!. LIV, Tab. xi. p. qg. & Tab. xxiv. p 404. (10) Chrift. Cellar. Notit. Orb. Aniiq^u. Lib. II. c, xii. p, 397, 398. ril. Parut. La Sul/, 'Num, in Nuir.di Segeft, ginians [94] ginians were mafters of that city, and occupied all the adjacent territory appertaining to it. That the Carthaginians were adtually pofleffed, for a certain period, of that part of Sicily where Eryx and Segefla had their fituation, does not only appear (12) from antient hiftory, Ixit likewife from a long Punic infcription, found at the former of thofe places. This infcription has been (i^) publifhed by the Prince di Torremuz-za, who extracted It from Sig. Antonio Cordici’s manufeript hiftory of Eryx, with a copy of which he was fupplied by Sig. Dominico Schiavo, in the very valuable and learned work men- tioned in the beginning of this paper. That fuch rough and uncouth words as SEG- HEGT, or SEGEGTH, with vowels fcarce fuffici- ent to form, or facilitate, the pronunciation, were not unknown to the Carthaginians, we may infer from the words SBAQirNI, ENGKARA, ESCQVAR, EIEGKV,GHEKQ, IGHASESC, and many others that occur in the remains of the ancient Punic tongue, which (14) at prefent exift in the vernacular lan- guage of the Maltefe. From -what has been here advanced, it is incon- teflably clear, that SEGESTE, or SEGESTA, is a word of a Punic origin j which, indeed, has been obferved by the famous Bochart. That learned au- (12) Polyb. Diod. Sic. Liv. Orof. ,&c. JJniv. HiJ}., Vol. vi. p. 829. et alib. Lond. 1742. (13) Sicil. et objacent. infular veter, infeript. nov. colU:^. i^c. clail. XX. p. 296, 297. Panormi, 1769. (14) Canonico Gio-Pieiro Franceico Agius dc Soldaiiis, in Dworwr, Punico-Ma'ief, pad'. In Roma, 1750. 4 thor [ 95 ] tKor has (15) fufficiently exploded the fabulous ac- count of Acefta, the pretended founder of Segeha, given us by fome of the ancient writers; though, for want of the afliftance of the Punic coin before me, he could not hit upon the true name the city now in view, at lead: when the medal I am con- ddering firft appeared, went under amongft the Carthaginians. As no chronological characters occur on the piece conlidcred here, the time when it was {truck can- not, with any precifion, be afcertained. That ope- ration muit, however, have preceded the conclulion of the fird; Punic war; fince the Carthaginians, by the treaty of peace which terminated that war, ceded the (16) whole of their poiTefTions in 'the idand of Sicily to the Romans. Nay, the medal I ■ am en- deavouring to throw fome light upon was probably prior, perhaps many years, to the furrender of Segefta(i7) to the Romans, in the beginning of the drift Punic war, when the inhabitants of’Segefta put the African garrifon there to the fword, about 258 years before the birth of Christ; the Carthagi- nians feeming never to have been poiTeffed of this ancient city, after that tragical event.- (15) Sam. Bochart. lib. I. g. 27. p. 563, 564. : Fran- cofurti ad Moenum, i68u (16) Polyb. Liv. Orof. Zonar. &c. Univ, Hijl. Vol. vi. Lend. 1742. (17) Polyb. Diod. Sic. Livi Orof, I/wiv. Hij}, Vol. vi, S29, Lend, 1742. II. The [ 9^ J H. Thefecorid of the two abovementioned (See Tar. TIL n, 8.) inlcriptions, which is the fixth of thofe pub- HlLed, in the place above refered to, by the Prince di Torremuzza, is compofed of feven letters. Of thefe the firft and fecond are undoubtedly Ain and Mem^ as we may certainly infer from a fimilar infeription, on the reverfes of other Punic coins, that have been (i8) heretofore explained. The third muft be as it fo (19) much refembles a form of the Greek Epfilon ; the antient figures of the fifth element in the Greek, Phoenician, and Samaritan alphabets having (20) been originally the fame. The fenfe of the inferip- • tion feems likewife abfolutely to require this. The fourth letter is apparently ilfew(2i), as will be al- lowed by every one in the lead acquainted with the ancient Siculo-Punic, and Siculo- Phoenician, cha- ; rasters. The fifth is Hhetb^ or Heth, as we may (Collect from (22) other medals, fimilar to that on (18) Phllofoph. Tranfa^. Memoir, de Litterat. de V Acad, da Anfeript. & Bell. Lett. (Ac. D. Bern. Aldret. E. Vincen. Juan de Laftanos, Feller, ubi fup. (19) Sig. Haverc. de Lit. Grac. Dijfert. p. 248, 249 V'^id. .Syllog. Scriptor. qui de ling. Greec. redl. pronuntiat, (Ac. Lugduni Batavorum, 1736. (20) Vid. Hadr. Reland. D. Bern, de Montfauc. Don Luis Jol'eph Velazquez, Chifli. aliofque Scriptor. quam pluiim. (21) Phllofoph. Tranfa£l. Memoir, de Litterat, de V Acad, des Infcript. (A Bell. Lettr. (Ac. Aldret. Laftanof. Feller. Sec, ubi fup. (22) Philofoph. Tranfadl. Vol. LIV. Tab. xxiv. p. 408, 409. Tab. xi. n. i. p. 99, 40^. which [ 97 ] Xvhicli this legend has been preferved. Part of this element, however, has been defaced by the injuries of time ; which to demonftration appears (23), not only from coins already publifhed, but iikewife from others preferved in the cabinets of the great and the curious, to which eafy accefs may be had* The fixth muft be Nu?i^ as we may conclude from all the abovementioned (24) coins. The draught of it, how- ever, given us by the Prince di Torremuzza, feems fomewhat to refemble- one of the forms of Mem^ and therefore it was probably not taken with the ut- moft accuracy j the Prince, perhaps, not being fo thoroughly converfant with the various figures of the Siculo-Punic, and Siculo-Phoenician, letters, and learned men but little acquainted with thofe figures pretty frequently miftaking one fimilar letter for another. This charader Iikewife is apparently different from the form of Mem, in the fame infcription, and feems not a little to refemble the ufual form of Nu/i ; as will appear to every one, examining it with proper attention. The feventh is T/jau, as will be admitted, I believe, by every one verfed in this branch (25) of literature. The infcription, therefore, of which I am at prefrnt attempting an interpretation, is formed of the two words niHOn DV, AM HAMMA- HANOTH, HAMMEHNOTH, or HAMME- NOTH, POPVLVS MENENIVS, or MENA- (23) Phllofoph. Tranfad. Vol. LIV. p. 99, 404, & Tab. xi. n, 1. p. 99. Memoir, de Liiterat. &c. ubi iup. PJ. 11. n. 7, 8, 9, 10, 12. p. 417. Aldret. Laftanof. Pelier. &c. ubi fup, (24) Phi/oj, Tranf. Menu de Litter at. &c. A!drec. Liftanof. Peller. ibid. (25) Barthd. Peller. &c. VoL. LXI. O RVM [ 98 ] RVM POPVLVS, as we may find rendered incon- tefiable by otfier (26) fimilar coins. In Hebrew tlie prefix n is not feldom added to the (27) beginning of the proper names of provinces, cities, and towns. So AND VIEW- ED AI. Jehof. vii. 2. ‘7:1b JlH IV |D> FROM SHITTIM TO GILGAL. Mich. vi. 5. AND ALL THE CITIES OF GILE- AD. Jehof. xiii. 25. To which I could add many more inftances of the fame mode of expreffion, that might, with equal facility, be produced. As the Punic and Phoenician languages therefore (28) a- greed in mcfi: points with the Hebrew, we may na- turally fuppofe the Phoenician, or Carthaginian, in- habitants of Menae to have imprefled the words n^nisn oy, AM HAMMENOTH, upon their moft ancient coins.^ The medal, which has conveyed down to us this infcription, through fuch a feries of ages, is of the tetradrachmal form, and of a very confiderable anti- quity. It has a place afiigned it in the (29) very valuable cabinet of the Prince di Torremuzza, tliough he has not favoured us with a draught of it. On one fide it exhibits the head of a woman, god- defs, or tutelary deity of the place where it was flruck, with three fillies fporting round it and on {26) Phil. T'ravf Mem. de Litterat, Aldret. Laftanof, Peller. ubi fup. (27) Johan, Buxtorf. Thtfaur. Grammat. Ling, Sau^. llebr, p. 385. Bafilex, (28) Sam. Bochart. Chan. lib. II. r. i. Philofoph. Tranjadl, Vol. LIII. p. 292. 6c Vol. LIV. p. 134. (29) S/f/7. et objacent. Infular. vctcr. infeript, nov. colledl. .'laU', .vx, p. 293. Panomii, 1769. the [ 99 3 the reverfe a hoiTe’s head, under which appears the infcription, that is one of the principal obje » 8 44 24 10 16 45 10 46 3 12 48 58 •9 16 41 39 27 35 40 34 2 21 ^3 7 7 6 6 7 7 S 8 8 56 49 8 56 49 19 24 19 24 37 23 18 30 18 30 9 9 R'.Afcenfiou O ' // 22 27 46 121 47 16 '21 35 31 120 49 lb 120 24 21 84 3 n 84 1 32 80 41 58 80 40 28 80 37 13 80 35 28 72 52 2 72 52 25 72 47 47 72 48 17 72 47 17 72 47 32 No.Declin, o / // 5 5 5 6 6 4 21 36 1 37 15 51 Eftimat® pofition to ^ Hydrae. / Determined pofition by a of the 7th mag. L then unknown, as alfo by ^ Hydrae. By ^ Hydrae. 47‘By the fame if- of Hydrae, repeated. 46 By Procyon. 22 39 22 40 23 45 21 51 25 23 46 51 25 55 25 55 25 5^ 25 56 25 57 25 57 By ^ the South horn of the Bull. By the fame. f By Flamfteed’s 121 of Taurus and the 163 1 of La Caille. By the fame. By the fame if . By a if of the 8th mag. obferved on the merid. By the planet Mars. By the above if of the 8th mag. By the planet Mars. 3'By the above if of the 8ih mag. 4jBy Mars. 25 28 47 46 Such are my obfervations, from whence M. Pingre has deduced the following Ele- ments of its orbit. so'/' Afcending si 3. 18 42 10 Indication of the orbit 31 25 55 Place of the perihelion 8. 28 22 44 Log. of the perihel. dift. 9,722833 Faffed the perihel. the 22d of November, 1770, at 22^^ 5' 48''' M.T. at the royal obfervatory, motion retrograde. He adds, “ that this “ comet refembles none of thole whole elements are determined, “ on comparing its motion with the places of its Perihel and ^2 • it “ is eafy to fee, that it was impolTible to difeover it at Paris before “ the year 1771 ; and it may even be added, that it mull; frequently have paffed in the Sun’s neighbourhood, imperceptible to the ‘ Northern parts of the Earth.” u XIV. I'/n/iKf. Trans. i'^i'l.hXL. Tab- IV jt 1 IhSM f t MM [ ] XIV. Defcription and Ufa of a new con- fruEied Equatorial Eelefcope or portable Obfervatory^ made by Mr, Edward Nairne, London. Read Feb. | ARE Inftrument confifls -of the fol^ ' JL lowing parts (fee the annexed Plate* Tab. IV.) a mahogany triangular Stand AAA, and three adjufting fcrews B B B j a. moveable azimuth Circle C, which is divided into degrees, and by a vernier index to every 6 minutes j above this azimuth Circle is the horizontal plate D, to the under part of which is faftened the vertical conical axis E ; on the middle of the upper furface of the horizontal plate, is placed a ground glafs Level F, by which the plate D is fet parallel, and the pillar E perpendicular to the ho- rizon ; from this plate rife perpendicularly two qua- drants G G, one of which is divided for the latitude into half degrees, and has a vernier index to 3 mi- nutes i the equatorial plate H, with its hour circle* is fupported by the two quadrants G G ; its axis of motion (which is placed near the hours XIL XII.) paffes through the centers of the quadrants, and carries the index I, pointing to the divided quadrant ; the equatorial plate is divided into half degrees, and has a vernier index fliewing every 3 minutes of right afcenfion or 1 2 feconds of time j it is figured to Ihew P 2 both [ io8 ] both degrees and time ; to prevent mlfapprehenfion, it may be right to remark that the hours XII. XII. ought properly to have been placed according to the meridian line j they are here placed otherwife, for the convenience of better feeing the meridian dif- tance flaewn by the vernier j On the upper part of the equatorial plate is the plate K ; upon this plate K, are fixed the two fupporters MM, which fup- port the axis N, under which is faftened the femi- circle of declination O, divided into half degrees, and has a vernier index fubdividing it to 3 minutes ; on the upper part of this axis, is fixed an achromatic Telefcope P, which magnifies about 50 times j to the eye End of this Telefcope, is applied a final 1 refledting fpeculum making an angle of 45° with the axis of the telefcope, whereby objedls that are in the zenith or any other altitude may be obferved, with- out putting the body in any inconvenient pofition ; to the under part of the axis N, is faftened a brafs arm carrying the weight Q, which counterbalances the telefcope, and the brafs work annexed to it; whilft the weights RR counterbalance in like manner the whole of the inftrument that is moveable on the equatorial axis, fo that whatever pofition the inftru^ ment is put in, it will there remain, being perfedly balanced ; the four motions of this inftrument may, when required, be moved extreamly flow, by means of the indented edges of the circle and fe- micircles, and the fcrews or worms to which the- handles are fixed, 'uiz. that for the horizontal mo^ tion marked S, called the horizontal handle, that marked T the handle of latitude, V the equatorial handle, and W the declination handle.. I To.. C IC9 ] To adjuft the inftrument for obfervatlon, the firfl: thing to be done is to make the horizontal plate D level, by means of the fpirit level, and the three ad- juring fcrews at the bottom of the fland ; this being done, move the equatorial plate either with or without the latitude handle, until the index on the quadrant points to the latitude of the place; and then the e- quatorial plate will be raifed, to the elevation of the equator of the place, which is equal to the complement of the latitude (and which, if not known, may like- wife be found by this inftrument, as will appear hereafter) ; and thus the inftrument Is ready for oblervation. The manner of ufing this inftrument for the following obfervations, 1 fhall borrow in part from the words of the late ingenious Mr. Short, in his defcription of his equatorial telefcope*, which,, however, ditfers eflenfially in conftrudtion from this. To find the Hour of the Day, and the Meridian of- the Place. Firft, find from aftronomical Tables, the Sun’s declination for the day; and for that particular time of the day ; then let the declination femicircle to the declination of the Sun, taking particular notice whe- ther it is North, or South ; and fet the declination femicircle accordingly, you then turn about both the horizontal handle and equatorial handle, until you find the Sun precifely concentrical with the field of the telefcope ; if you have a clock or watch at hand, mark that inftant of time, and by looking upon, the equatorial plate and vernier index, you will' find; * Vide Phil. Tranf. Vol. XL. p. 242^. tlic C no ] the exad apparent time of the day, which, com- paring with the time fliewn by the clock or watch, fiiews how much either of them differ from apparent time; in this manner you find the hour of the day. To find the Meridian ofi the Place, [The inftrument remaining as in thelaft obfervation6j You firft move the plate K until the vernier on it cuts the 12 o’clock hour, and, difcharging the fcrew to which the declination handle is fixed, turn the telefcope down to the horizon, and obferve the point which is then in the middle of the field of the tele- fcope, or cut by the interfedlion of the crofs wires, and a fuppofed line drawn from the center of this field, to that point in the horizon, is your meridian line, where a mark may be fet up in order to pre- ferve itj you may likevvife preferve this line, by the azimuth circle, which being made moveable, fhould be turned fo as to bring the o of the azimuth plate to agree with its vernier, when the telefcope is point- ed to the meridian ; this motion in the azimuth plate will be found very convenient, fince you may thus recover the meridian line by it, and it will ihew the exadt azimuth of any objeft the telefcope is diredfed to, without diflurbing any other part of the inftru- ment : the beft time of the day for making this oblervation for finding your meridian, is about three hours before noon, or as much after noonj the meri- dian of the place may be found by this method very nearly, and, if proper allowance be made for re- fradtion, [ in ] fradlion, it may be found to great exadnefs ; this line once fettled will lave trouble aftei wards, and is indeed the foundation of all aflronomical obfervations. ' 'To find a known Star or Planet at aiiy propofed infiant oj timey whether in the day or night. The inflrument remaining redified as in the laft obfervation ; fet the declination femicircle to the declination of the planet, at the propofed infiant, and bring the index of the equatorial plate, to point to the meridian difl^nce of the flar or planet, at the propofed infiant if weflward, or to the complement of the meridian diflance if eaflward of the meridian. (This diftance is found by adding together the right afcenfion of the Sun in time, and the apparent time ol the day, and taking the difference between the fum and the flar’s right afcenfion in time^ when the flar’s ri3^ ] XVI. Account of an extraordinary Steatoma^ tous Tumour^ in the Abdomen of a Wo-- man^ by P. Hanly, M, D. Communka-^ ted by Charles Morton, Af. D. Sec, R, S. Received November 8, 1770. Read Feb. 21, 1771. Mr S. Reily, aged thirty fix years, pale, tall, flefhy, and formerly of a healthy con flit ution, was brought to bed of a flrong, lively daughter, on the twenty third day of May, 1770, in the parifh of St. Anne, Dublin. In the fifth month of her pregnancy, (he felt an uncommon lump in her ftomach (as fhe expreffed it), about the fize of a hen-egg, which did not then give her much pain or uneafinefs, and (he was in hopes that her delivery would carry it off : fhe had towards the end of her pregnancy frequent teach- ings, fometimes puked, and became emaciated } three days after fhe was brought to bed, fhe found the lump and teachings had encreafed ; fhe became very uneafy, and fent for me. Upon examining her abdomen, I felt a confider- able tumour contiguous to her ftomach, which after- wards had greatly encreafed, and was extended ob- liquely to her right fide, as low as her navel ; it lay immediately under the peritoneum and abdominal mufcles, and in the progrefs of its encreafe, I could S 2 plainly C »32 ] plainly feel one large, and other fmaller protuberances of a firm lubftance, in fome mcafure relembling the head and I'uperior extremities of a foetus. It could be eafily moved from fide to fide, without giving her any pain ; but it refificd, and made her uneafy, when I attempted to move it downwards : her ab- domen appeard plump and full, as if flae had not been brought to bed ; but the hypochondres were more prominent and diftended, than the region be- low her navel. I ordered for her the limple bitter infufion with ablorbent powders, and delayed giving deobftruent medicines, till Ibe had recovered her drength after lying-in. I alfo defired her not to fuckle her infant ; but, as her hufband was poor, flie did not comply, by which means (lie quickly be- came greatly exhaufled and emaciated. In a fortnight after her delivery, die got up daily, walked about her room, Ibmetimes went abroad, and continued to fuckle her child ; but the reachings returned at intervals, the tumour increafed in fize, its protuberances became larger and more didind:, die was often rcdlefs, and in pain at night on lying in bed, had a hedic fever, and daily became weaker and more emaciated, with a diarp pinched-up nofe, hippocratic countenance, fmall, quick, weak, thread- like pulfe, lofs of appetite, and night fweats. In five weeks after her delivery, the tumour had greatly increafed in all its dimenfions ; and its pro- tuberances, which to the feel feemed to refemble the head, trunk, and extremities of an extra-uterine fcetus, became more palpable and didind, as the abdominal mufcles from their didenfion became thinner. I brought ten phydcians, furgeons, and ac- coucheurs [ »33 ] coucheurs to vifit her; and we were all fo much deceived as to be of opinion, that the tumour was an extra-uterine foetus: however, we were deterred from attempting the Caefarean operation, from a convic- tion that the was too weak, hedtical, and reduced, to encourage any hopes of her recovery, in cafe it had been performed ; and therefore we determined to leave the event to nature, efpecially as we could perceive no motion of any particular parts of the tumour, though it had greatly increafed, and as it was poffible that it might be fome other tumour. She continued gradually declining ; the tumour and fymptoms increafing, during May and June; and the twenty-third day of July following, I per- ceived a fmall fluduation of water in her abdomen, and gave her an intimation thereof, which deter- mined her to procure another nurfe for her infant; but the afeites daily increafed, and in nine or ten days after, her legs and feet became oedematous, her night-fweats ftill continued, though her dropfy augmented, and flic languilhed under the acute pains, more frequent reachings, hedtic fever, lofs of flrength, want of appetite, and reftlefs nights, except when file took an opiate, which often proved a great relief and refreQiment to her. Her pofture in bed now was half fitting, half lying, which was the only pofition die could bear without great pain and diortnefs of breathing. About feven days before her death, (he was feized with a fmart lax, which, in a few days, carried off part of the fwelling in her left leg ; die became fome- what lighter, and lefs diftreffed in her breathing, which made her vainly hope, that her diforder might be [ *3’+ ] ’be earned off in that iiianner ; but the tumour., ■weaknefs, and other rymptoins encreafed, till the k'cond day of September inrtant when the expired. After her death, on opening her abdomen, in pre- fence of feven gentlmen of the faculty, we found about a gallon of water, and a large fleatomatous tumour juft under the peritoneum, near three inches in thicknefs, feven inches in length from her ftomach to the obtufe angle of her ribs, and in fome places near five inches in breath from her fternum to the vertebras of her back, full of prominences of dif- ferent fizes. It was of a hard confiftence, like tallow in its anterior part, but fofeer pofteriorly, and divided by thin membranes into numerous cells, which were diftended with hard and fofter fat ; it weighed .feven pounds, was of an irregular figure, adhered to, and comprellcd, the anterior part of her ftomach, and was fo firmly united to the inferior furface of the liver, that it could not be feparated from it without force. It preffed and concealed the colon, .and extended from the ftomach by her liver to the right ovarium, and vertebras of her back : the fmall guts were greatly fqueezed, and moftly forced to- wards the left fide ; and the anterior lobe of her liver was fo comprefled between the diaphragm and tumour, that it appeared flattened, fmaller than ufual, and in a withered, decaying ftate. There was nothing praeternatural in the matrix, or any of the other bowels ; but they were greatly compreffed, and the tumour, from its membranes and contained fat, feemed to be a production and diftenfion of that part of the omentum, which ad- Iieres to the ftomach, although it reached and ad- hered [X3S] hered tO' the right ovarium, liver, aorta, and colon, as well as to the ftomach. The operator was for fome time in fearch of the colon, before he found it, adhering to, and almoft forming a part of, the poflerior edge of the tumour. Dublin, Sept. 6, 1779. P. Hanly j M D, L *3^ ] 0 Received P'ebruary 4. XVII. A Letter frotn Dr. D u card , F. R. S, and F. S. A, to Dr. William Watfon, M. D. ai2d F. R. S. concernmg Chef nut Lrees\ with two other Letters to Dr, Du card, o?i the fame SubjeFL Sir, Read Mar. 8, "S' N a letter addreffed to you, on the A ^rees which are fuppofed to be indi- genous in Great Britain, puhidhed in the Philo- fophicalLranfaSiiom'^ , the Hon. Mr. Dailies Barring- ton has attacked a prevailing notion among the learned ; that chefnut trees are the native produc- tion of this kingdom. Mr. Barrington argues that they are not; and his reafonings on this, are now to be confidered. In my Anglo-Norman Antiquities, p. 96. I had obferved that “ many of the old houfes (in Nor- mandy) when pulled down, are found to have a great deal of chefnut timber about them ; as there “ are not any forefts of chefnut trees in Normandy, “ the inhabitants have a tradition, that this timber “ was brought from England : and there are fome cir- cumftances, which, when rightly confidered, will * Vol. LIX. p, 23. I add [ 137 3 “ add ftrength to this tradition } for many of the old “ houfes in England are found to contain a great deal of this kind of timber : feveral of the houfes « in Old Palace Yard, Weftminfter, and in that neigh- bourhood, which were taken down in order to “ build Parliament and Bridge-ftreets, appeared to “ have been built with chefnut j and the fame was “ obferved with regard to the Black Swan Inn, in “ Holborn, and many other old buildings lately “ pulled down in different parts of England.” And to this I had fubjoined the following account in a note. “ Chefnut timber being at prefent rarely to be “ found growing in the woods and forefts of Eng- “ land, many perfons are induced to think that the “ fweet chefnut was never an indigenous tree of this ‘‘ illand : but a little confideration will plainly evince, “ that it always was, and is to this day, a native of “ England. It is generally allowed, that all the ‘‘ ancient houfes in the city of London were built of “ this timber. Certainly it did not grow far off j “ and rnofl probably it came from fome forefts near “ the town j for Fitz Stephens, in his defeription of “ London, written in the reign of king Henry the “ Second, fpeaks of a large and very noble foreft, “ which grew on the North fide of it. Rudhall, ‘‘ near Rofs, in Herefordfhire, an ancient feat of the family of Rudhall, is built with chefnut, which “ probably grew on that eftate 5 for although no tree of the kind is now to be found growing wild in “ that part of the country, yet there can be no “ doubt, but that formerly chefnuts trees were the “ natural growth of the neighbouring wood lands, fince we find that Roger earl of Hereford, founder VoL. LXI. T of [ 138 3 << of the abbey of Flaxley, in Gloucefterfhire, “ by his charter, printed in Dugdale’s monafticon, “ tom. i. p. 884. gave the monks there, the tythe “ of the chefnuts in the foreft of Deane, which is “ not above feven or eight miles from Rudhall. “ l"he words, are Singulis annis tot am dccimam cajla- neariim de Dena. In the court before the honfe “ at Haslev Hall, in VVorcefterfliire, the feat of “ Lord Lyttelton, are two vaft fweet chefnut trees, “ which feem to be at leaft two, if not three hun- “ dred years old ; and Mr. Evelyn, in his Sylva, p. “ 232. mentions one, of an enormous fize, at Tortf- worth, in Gloucefterfhire, which hath continued ‘‘ a fignal boundary to that manor, from King Ste- phen’s time, as it ftands upon record ; and which “ tree is ftill living, and furrounded by many young “ ones, that have come up from the nuts dropped “ by the parent tree. Mr. Evelyn alfo affures us, “ that he had a barn framed intirely of chefnut tim- ‘‘ ber, which had been cut down in its neighbour- “ hood. In the foreft of Kent, adjoining to Sudex, “ there dill remains feveral large old chefnut dubbs, “ which were left by the woodmen as termini, or “ boundaries, either of paridies, or private property. “ Befides this, there are to this day, in the North “ Ead part of Kent, feveral large woods, confiding “ principally of chefnut trees and dubs. In the “ paridi of Milton, near Sittingborne, is a manor “ called Norwood Cadehey, otherwife Chedeney, from its fitnation among chefnut woods, which “ reach to the highway from London to Dover, and “ give name to a hill between Newington and Sit- tingborne, it being called Chefnut Hill, the chef- “ nut [ 139 ] nut trees growing plentifully on each fide of it, « and in woods round it for many miles. And ‘‘ by the particulars for leafes of crown lands in “ Kent, temp. Eliz. Roll III. N° 8. now in the ‘‘ Augmentation ofEce, it appears that there is, “ in the fame parifli of Milton, a wood containing “ two hundred and feventy eight acres and a half, “ called Chefton, otherwife Chefnut wood. To “ conclude, my worthy friend, Edward Hafted, efqj of Sutton atHone, near Dartford in Kent, F.R.S. “ and F. S.A. affiures me that one of his tenants at “ Newington, a few years lince grubbed up forty “ acres of wood, which were intirely chefnut.” In the very out-fet of the argument, Mr. Barring- ton impofes upon himfelf, by changing the terms of the queftion. “ Since you fent me, fays he to Dr. “ Watfon, the fpecimen of fuppofed chefnut, which “ was taken from the old hall of Clifford’s Inn, I ** have been at fome pains to examine the authority “ for the prevailing notion, with regard to this be- “ ing an indigenous tree” (p. 23.) — ^butin p. 24. he fays, “ I fhall begin by confidejing the proofs, w'hich “ are commonly relied upon to the Spa?tiJJ:> or fweet “ chefnut being indigenous in Great Britain.” — though not one word has preceded, though not one word follows, of the Spanifh and the common chef- nut being the fame. He then alledges, “ that the “ very name of Spanifh, feems ftrongly to indicate “ the country from which it was orignally introduced ** here” (p. 24.) This is furely a ftriking inflance of an inaccuracy of language j the whole controverfy between us turns only upon that which is commonly called the chefnut tree, and which is therefore de- T 2 nominated [ *40 ] *ommated Cajianea Vulgaris, by all the ancient Bo- tanifts. It is To called by Dr. Johnfon in his Mer- curius Botanicus: by the fame author, in his Iter Cantianum-, and by Blackftone, in his Specimen Botani- cum ; and in this true view of the controverfy, let us examine the principal parts of it. I have, Sir, in the abovementioned quotation, par- ticularly noticed a large tradt of chefnut woods, to continue to this day near Sittingborne, in Kent; in oppofition to this, Mr. Barrington fays, that he has taken a very minute infpeclion of thefe woods ; and that, “ finding them planted In rows, and without “ any fcattering trees to introduce them, he is con- “ vinced that they are not natives.” (p. 27 and 28) Such is the argument by which my aflertion is en- deavoured to be fet afide. I (hall not here enter into an examination of the four general rules laid down by Mr. Barrington, “ from which it may be decided, whether a tree is “ indigenous or not in any country,” p. 23. That I leave to the confideration of two of my particular friends, who have entered into the Botanical reafons produced by Mr. Barrington, and whofe letters to me on this fubjedl are hereunto annexed. I con- fine myfelf to the fadl. “ Remember, fays Dr. Plot “ in his MS. ColleSlanea of Kent (in the library of “ Edward Jacob, Efq; of Feverfham) the iron oar “ fmelted in Chefnut wood, in the confines of Borden “ and Newington.” Dr. Johnfon, in his Iter Cantia- num, 1632, Ipeaks of the Cafanea Vulgaris inter Sittingbourne et Rcchefler. And this Chefnut wood is equally mentioned- as early as the 2 2d of Elizabeth, under the title of ^icedam Sylm, vocata Chef encode x C 141 ] in a conveyance, which the reader may fee below (i). This wood then is not very modern j and if ever it was planted by any human hand, muft have been planted two or three ages ago ; but it was certainly never planted by any human hand ; the whole wood (i) Ex. Orig. penes Edw. Jacob Arm. de Feverfliam, S.A.S. Nov. 22, 1770. Stiant p’fent. et futur. q’** ego Georgius ClyfForde, p’ochie de Bobbynge in com. Kane. ar. p’ quadam pecunie fumma michi p’fato Georgio p’ Georgium Ffylmer p’ manibus folut. unde fateor me fore folut, et content, didtumq; Georgium Ffylmer hcred. et exec, et admynyftr. fuos fore exonerat, et acquietat. p’ p’fent. dedi conceffi vendidi et hac p’fent, carta mea confyrmavi eidem Georgio Efylmer quinque acr. ter. et bofe. five majus five minus feituat. jacen. et exiften. in pochia de Borden in com. p’difto videl’t ad quandam filvam ib’m, voc. Cheften woode verfus Weft ad ter,* Garret, gen’ j verfus Southe ad ter. hered. Alexandr. Cottye ; verfus Eft ad bofeu hered. Henrici Droumfylde i verfus Northe; Eft et Weft ad bofeu Thome Pettenden, verfus North; H’end. et Tenend. predidt. quinque acr. ter. et bofe. cum omnibus et fyngulis fuis p’tin. p’fat. Georgio Ffilmer hered, et aflign. fuis ad opus ct ufum ipfius Georgii Ffilmer hered. et aflign. fuor. imp’p’etu Caplitib. d’no feodi p’ fervis inde eis prius debit, et de jur. confuet. Et ego p’didf. Georgius Clyfford et hered. mei p’didf. quinque acr. ter. et bofei cum omnibus et fingulis fuis p’tin. p’fat. Georgio Ffilmer hered. et aflign. fuis contra omnes gentes warrantizabimus et imp’petu defendemus p’ p’fentes. In cujus rei teftimonium ego p’didlus Georgius Clyford huic p’fent. cart, mee figillum meum appofui; dat. vicefimo odtavo die Mail anno regni dne me Elizabeth dei gra’ Angl. Frauncie, ct Hib. Regine fidei defenforis, &c. vicefimo fecundo. Georgius Clyfforde, (L, S.) Sealed and delivered in the pre fence of German Wake, & Henry Whithead, * Sic Orig, covers [ 1+2 J covers more than three hundred acres of land. In one part of Chefnut wood, upon the hanging banks of Chefnut-ftreet, and in the way from Kay-ftreet to Stockbury, are now the remains of large chefnut trees and pollards, which w’ere plainly planted by the bold irregular hand of nature. I had alfo mentioned a grant (or rather a confir- mation of a grant) made to the abbey of Flexeley, which was the tithe of chelhuts in the forefi: of Dean ; “ totam Decimam Cafianearum de Dena.” But Mr. Barrington objedls to the fuppofition “ of “ Dena, in the record, meaning the foreft of Dean, “ as there are fo many places of the name of Dean “ in the kingdom.” This however is furely an ob- iedion of no weight. The Ciftertian abbey of Flexe- ley, or Dene, was adually fituated in the foreft of Dean (2), and was anciently called Flaxlyn abbey of St. Mary de Dean (3). This abbey, together with Dean Magna (alias Mitchell Dean), and Dean Parva, all lie in the fame hundred with the foreft (the hundred of Saint Briannell), and are included in the ccciefiaftical deanery, called Foreft: where, therefore can the Dene of Flexely be placed, but at the foreft in which it was fituated, and from which it derived half of its appellation ? And what pretence can a Dene in Hampftiire, or a Dean in Lancaftiire, have to a place in a record, which relates only to the abbey of Saint Mary deDene, in the foreft of Dean? But all fuch reafonings are unnecefiary : the point is afcertained beyond the poffibility of a doubt, by Henry the Second’s confirmation of the original (2) Tanner’s Notitia, p. 147. (3) Atkin’s Gloucefter&ire, p. 288. Edit. 1768. 7 grant, [ H3 ] grant, which may be feen below (4). The king, by this record, confirms to the monks, locum qui dicitur Flexleia (4) Flexleyenfis Ahbatia, in agro Glouceftrenfi. Carta Henrici Nortnannorum Ducis, Donatorum concefliones recitans et confirmans. H. D ux Normannije et comes Andegaviae archiepifc, &c. Salu- tem. Sciatis me conceffilTe et confirmaffe Deo et Sandlae Marise, et monachis ordinis Ciftercienfis, pro falute antecefforum meorum, ct mea propiia, in elemofinam perpetuam, omnes illas dona- tiones quas Rogerus Comes Herefordise eifdem monachis in elemofmam dedit, juxta teftimonium cartarum fuarum, fcllicet, locum quendam in valle Caftiart, quas dicitur Flexleia, ad con- ftruendam abbatiam, et totam terram illam quae dicitur Wafla- dene, quae fuit Walfrici, et quandam fabricam ferrariam apud Edlandam, et totam terram fub veteri Caftello de Dena ad fartandam, et illam quae elt aflartata, et quandam pilcariam apud Redliam, quae dicitur Newerra, et quoddam pratum in Pulmede, et omnia aifiamenta fua in forefta de Dena, et do- minicum totum de Dimmoc, et terram illam quae fuit Uthredi clerici, et terram Ernaldi, et terram Wolfrici, ita fcilicet, quod ipfe Uthredus clericus remaneat in manu abbatis, cum efcambio fuo, fcilicet duabus virgatis terras quod nemini inde refpondeat nifi abbati ; et dimidium nemus apud Dimmoc ; et fingulis annis totam decirnam Cajianearum de Dena^ et terram illam quam adquietavic ipfe Comes Herefordiae de Gaufrido filio pre- difli Wulfrici, et aliam quam ipfe Comes adquietavit de Lef- frico, de Strattra. Quare volo, &c. Nos autem has proedidfas donationes non tantum eis confirmo, fed etiam omnes alias quas idem Rogerus Comes Herefordiae illis in elemofinam datums eft. Teftibus Rogero Comite Herefordiae, Willielmo de Crivecuer, Ricardo de Humet, Conftab. Philippo de Colum- bariis, Roberto de Ivigum, Willielmo de Angervill, Willielmo Cumin, apud Eveftiam. Cart. Antiq. X. Num. 4. Carta regis Henrici Secundi. Henricus, Dei gratia, Rex Angliae, et Dux Normanniae et Acquitannias, et Comes Andegaviae, Archiepifopis, &c. et omnibus fidelibus fuis Anglis et Normannis, tarn prasfentibus, quam . [ *44 ] Flexleia ubi ahh ati a f undata eji^ by the title of Locum quendam in forejla de Lend, He afterwards goes on, to quam futuris, falutem, Sclatis me dedifle et confirmaffe Deo et Beatx Mariae et Monachis meis de Dena, quos in propria pro- tedlione fufcepi, pro falute mea et antecefforum meorum, in elemofinam perpetuam, locum quendam in forefta de Dena, videlicet, totam vallem de Caftiard, et locum qui dicitur Flex- Icia, ubi abbatia fundata eft de ordine Ciftercienfi, in honore bcatoe virginis Mariae, pro amore Dei, et pro anima regis Henrici avi mei, et Comitis Gaufridi Andegaviae patris mei, et Matildis • imperatricis matris meae, et aliorum parentum et anteceflforum meorum, et pro falute mea, et haeredum meorum, et pro ftabi- litate et pace regni Angliae. Conceffi etiam eis et confirmavi omnes illas donationes quas Rogerus comes Herefordiae eifdem in elemofinam dedit ficut cartae ejus teftantur. Praetcrea dedi cis et confirmavi omnia aifiamenta in eadem forefta mea de Dena, fcilicet pafturam juvencis fuis et porcis fuis, et omnibus aliis pecoribus fuis, et ligna et materiem ad domos fuas et ad aedificia fua facienda, et ad alias res ufui fuo neceflarias, fine vafto in eadem forefta mea. Et de eadem forefta dedi eis decimam cajianearum mearum^ et grangeam quae dicitur Wafte- dena, et unam forgeam fcrrariam, ita liberam et quietam et operantem, per omnia, ficut meae dominicae forgeae. Et totam terram fub veteri caftello de Dene ad fartandam, et illam quae eft aftartata; videlicet, centum acras, et quandam pifcariam apud Reidleiam, que dicitur Nolwera, et quoddam pratum apud Reidlciam, quod vocatur Pulmede ; fcilicet quatuor acras, et terram quam illis dedit in elemofinam Lcuvericus de Staura, et grangiam quam eis dedi apud Wallemere, de aflartis meis ; videlicet, ducentas acras, cum pratis et pafcuis, et omnibus aliis aifiamentis, et quatuor acras de Northwoda, et totam dominicatum meum de Dimmoch, et quinque virgatas terrae et dimidiam, prseter dominicatum, et dimidium nemus meum de Dimmoch, et dimidium retium in manu mea, propter aifi- amenta hominum meorum, ea fcilicet de caufa, ut monachi mei habeant fuam partem nemoris in bene et in pace, et fine omni communione aliorum hominum j et firmiter praecipio, ut nullus eos fuper hoc inquietet. Praetcrea dedi eis eflartum quod- dam fubtus Caftiard, quod vocatur Terra Vncentii. Hasc omnia C 145 ] to give them omnia afiamenta in eadem forejia mea de Dend j and then he particularly fubjoins, et de eadem forejia dedi eis Decimam Cajianearum meariim. Can any words poffibly be more explicit than thele ? And can Mr. Barrington aver againil the teftimony of an authentic record? But, though the Dena of the re- cord does mean the foreft of Dean, Mr. Barring- ton has ftill an objedion in referve; and afferts that “ there are not the leaft vefliges of any fuch trees in “ this foreft at prefent.” (p. 29.) But is Mr. Bar- rington fure there are no veftiges of chefunt trees in the foreft ? Did Mr. Barrington infped: into every part of this ample area ? And did no trees, no flumps, no ftools, efcape his eye in this wide un- bounded range ? But the fa£l appears otherwife. There are not merely flumps, not merely flools, of chefnut trees j but adual and abfolute trees of chef- nut exifting at this day, in the foreft of Dean. In a letter to me, dated Dec. 10, 1770, from the Rev. Mr. William Crawley, refident at, and minifter of Flaxley (uncle to Thomas Crawley Bovey, Efq; the prefent owner -of Flaxley abbey) ; is the following account : — “ In this very foreft and near Flaxley is a parcel of land, about three or dedi Deo et beatae Marlas et monachis meis Deo devote fervlen- tibus, habenda et tenenda imperpetuum, foluta et quieta ab omni reguardo et exa£lione feculari. Quare volo, &c. Teftc Ricardo de Humet, Willielmo de Creveca, Philippo de Co- lumbariis, Willielmo de An :ervi!l, apud Evefliam. (Monafticon Anglicanum, Tom. I. p. 884). Pat. 22 R. II. Dart 3. m. 16. per Infpex. Vide Cart, antiq. N. N. 30. Et pat. 27 H, VI. par. I. m. 9. VoL. Lxr. cj four [ 146 ] four hundred acres, which is ftill denominated chefnut : though neither chefnut, nor any other “ kind of tree is to be feen there, excepting what we call underwood or coppice, moftly hazel. In- “ deed in many places of the foreft, I find chefnut “ trees are (fparingly) to be met with ^ but within “ a few yards of the above fpot, in a wood of my “ nephew, are many of remarkable fine growth.’* But, even if the fadl had been as Mr. Barrington hath dated if, the faith of a record attefting the exiftence of chefnut trees formerly, in the foreft of Dean, was fjrely not to be fuperfeded by the non-exiftence of fuch trees at prefent; they might have exifted former- ly, though they do not exifl at prefent. And the record explicitly allures us that they did exift, and as early at lead as the reign of Henry the Second. The chefnut tree, therefore, may dill claim a na- tural relation to this ifland, notwithdanding the two arguments of Mr. Barrington againd it : and if we look into this kingdom, we fee the chefnut tree, not confined to Sittingbourne woods, or to Dean foredj but fcattered with a free hand, through many parts thereof ; fliooting up with all the healthy vigour of genuine natives, and giving denomination to feveral places amongd us. Thus the chefnut wood of Sit- tingbourne, has given the name of Chefnut-dreet, to the neighbouring road ; and the old Saxon half of the name. Street, drongly intimates the other half to be very ancient. The appellation occurs in the fird map, that notices the names of the, roads, the map of Kent by Morden. In Hertford fbi re is a town, called in old writings, Chedon, Chedhunte, Shederhunte, and Cedrehunt j and Norden (in his defcription C H7 3 difcriptlon of Hertfordfliire, p. i 5,) fays, Cur non (5^ Chep^in ? Caftanetum of ChelTe-nut trees ? The Saxons were well acquainted with this tree, and, according to Skinner and Lye, called it Cyprei and Cypz-beam 5 the fame word evidently with our prefent Chef-nut. Dr. Johnfon, in his Mercurius BotanicuSy 1634, remarks the chefnut to have been, not unfrequent in the woods, as well as in the plan- tations, of his own times ; Cajianea Vulgaris in fyhis non72ullis ef viridariis\ — Mr. Dale, in his Hijiory of Harwich, mentions various chefnut trees to be grow- ing in Stour wood, within the parifli immediately adjoining to Harwich. Blackftone, in his Specimen Botanicum, p. 12. fpeaks of chefnut trees growing in (6) Bulwin woods, between Dartford and Bexley, in Kent, plentifully j not twenty miles diftant from London. Mr. Philipot, in his Villare Cantianum, which was printed in 1659, P* ^37* “ There is a manor, called Northwood Chafteners, which^N«. “ name complies with the lituation ; for it ftands North from the town, in a wood where chefnut trees “ formerly grew in abundance.” “ The noble chef- “ nut tree, lays Morton, (Northamptonfhire, p. 397.) belonging to the Wordiipful Thomas Tryft, Efqj of Marford, is the largeff of that kind I have any where feen : the body of it is no lefs than fifteen “ feet eight inches in circumference ; and it extends its branches proportionably.” “ On the outfide of “ the Roman Ration at Temple Brough, near Sheffield, “ in Yorkfhire, fays Gibfon’s Camden, (Vol. II. p. “ 847.) “ is a large bank, upon which are huge trees, and upon the fide of the bank of the highway, (3) Cheflin, (6) Now Baldwyn Woods. XJ 2 there [ 148 ] “ there grew a chefnut tree that had fcarce any bark “ upon it, but only upon Tome top branches which bore leaves; it was not tall, but the bole could “ fcarcely be fathomed by three men.” “ There was “ (landing, fays Evelyn (in his Syha^ Fol. London, “ 1706, p. 223.) an old and decayed chefnut at “ Fraiting, in Elfex, whofe very ftump did yield “ thirty fizeable loads of logs. 1 could produce you “ another of the fame kind in Glouceftcrfhire, which “ contains within the bowels of it, a pretty wain- “ fcotted room, enlightened with windows, and “ furniflied with feats, 6cc.” And to thefe we may add two great chefnut trees flourifhing at Tortworth, in Gloucefterihirc, and at Writtlepark, in Ellex ; the former is allowed, even by Mr. Barrington, “ to be “ the oldeft tree that we have any account of, per- “ haps in Europe.” (p. 30.) And the following de- fcription of both, was publiflied about twelve or thirteen years ago {j)'y “ At the feat of the Lord “ Dude, at Tortworth, in Gloucederfliire, there is now growing an Englidi chefnut, which meafures fifty one feet about, at the height of fix feet above the ground. This tree divides itfelf, at the crown, “ into three limbs, one of which meafures twenty “ eight feet and half in the girt, and five feet above “ the crown of the tree. The foil is a foft clay, “ fomewhat loomy; the fituation is the North Weft “ fide of a hill; this tree was filled, in King John’s “ time, the great and old chefnut tree at Tortworth ; “ fo it is fuppofed to be now above one thoufand “ years old.” (7) London Magazine, 1758, p. 48a. “ There [ 149 ] “ There is another (lately chefnut (8), hut little inferior to that at Torteworth, in Writtle park, “ three miles to the left of Jngateflone, in Eh'ex. The late Lord Petre meafured this tree, and found it forty five feet girth, five. feet from the ground; “ this vaft trunk fupports a lofty head, which, at a “ difcance, affords a noble profpedt, and well de- “ ferves to be furveyed by all that admire fuch “ wonderful produ6lions.” At Little Wymondley, near Hitchin, in Hertfordfliiie, is an old decayed chefnut tree, the trunk whereof (meafured within thefe two years) was found to be forty two feet cir- cumference in one part, and forty eight feet in an- other, as I am credibly informed. (9) And, to give additional force to an argument which is already decifive of itfelf, we may obferve, that in the New Forefi, there are very many chefnuts irregularly fcat- tered among the oaks and other trees j and now to befeen in the road from Limington to Southampton. In this great abundance of chefnut trees formerly among us, we need not wonder that chefnut timber was frequently ufed in old houfes, preferable to oak; it was then the timber mod efteemed by our joiners and carpenters. And, though very lading, yet it has been juftly diferedited, in thefe later ages, for houfes, becaufe, when it begins to decay, the con- fumption commences at the core, and the heart is the firft deftroyed. And we can produce fome (8) In a News Paper, called The Citizen, or General Adver- tizer. Sept. 21. 1758. (q) This tree is iituate in the grounds, and near the houfe of Little Wymondley Bury, late the eftate of Lord Grofvenor, but purthafed within two or three years by Col. Cracherode. [ >S0 ] • . proofs, additional to the many that have been for- merly produced, of chefnut timber adually em- ployed in buildings. The old houfes in the city of Gloucefter (as the Reverend Mr. Crawley in- forms me that he has often been alfured) are conftrudled of chehiut, derived alfuredly from the chefnut trees in the foreft of Dean.” In many of the oldeff houfes at Feverfliam is much genuine chefnut, as well as oak, employed. In the nunnery of Davington, near Feverilaam (now entire), the timber conhfts of oak intermingled with chefnut. And the great chefnut beam which fupported the leads of the church tower at Feverfliam, when it was lately taken down, was found rotted for many feet at the extremity ; and had, as it were, a mere fhell of found timber remaining about it. Thus have I endeavoured, with all the refpedt due to genius and truth, to point out fome of the mif- takes into which, I apprehend, Mr. Barrington has fallen. I might have dwelt more largely upon the antiquarian part of my fubjeeft; but the botanical was more immedtately my point. And in the exami- nation of this, I have dievvn, that the chefnut tree flouriflies greatly in this kingdom; that it appears wildly fcattered over the face of the country ; that it was adfually fettled among us many centuries ago ; and ufed by cur anceftors in buildings; and that it was even familiarly known to the Saxons. All thele united evidences flrongly co-operate to prove it a na- tive of this illand, and mud; abfolutely be allowed to prove it, till Mr. Barrington, or fome other per- ibn, can produce fuperior evidence to the contrary. I beg I [ *51 ] I beg leave to fubmit thefe obfervations to your confiderations j and have the honor to remain. S I R, Your mod faithful humble fervant. Dbctors Commons,. Jan. 5, 1771.. And. Coltee DucareL XVIII. Copf f [ 152 ] XVIII. Copy of Mr. Thorpe’s Letter to Dr. Diicarel, concerning Chef nut Lrees, Dear Sir, flead March S, T T A VI N G perufed the Hon. Mr. XTjL Barrington’s letter to Dr. Watfon, publilhed in the Philofophical Tranfadions, I find he lays down three or four general rules to determine whether a tree is indigenous or not in any country, as follows : ** t. They mufi: grow in large mafies, and cover ** confiderable trads of ground; nor mufi: fuch woods “ end abruptly by a hidden change to other trees, except the fuuation and ftrata become totally different. “ II, If the trees grow kindly in copfes, and ** (hoots from the ftool, it mufi: for ever continue in “ fuch a wood, unlefs grubbed up, nor is it then “ eafily extirpated. “ III. The feed mufi ripen kindly ; nature never “ plants but where a fucceflion may be eafily con- “ tinued, and in the greatefi: profufion. “ Laftly, many places in every country mufi: re- ceive their appellation from indigenous trees, which “ grow there, 6cc. When the inftanccs of this are “ fingular. 3 C 153 ] fingular, It will prove directly the contrary, as he “ hopes to fliew with regard to the cbefniit, 6cc.”, In anfwer to his objeftions, and agreeable to thefe his forgeoing rules ; 1 ihall endeavour to prove the cheinut to be an indigenous tree, in this illand ; and ifl, Mr. Barrington fays, that he examined the woods near Sittingbourn himfelf j “ and on a very “ minute inlpedtion of them, found thofe parts which confid; of chefnuts, to be planted in beds or rows, “ about five yards diftant from each other ; nor are “ there any fcattering trees to introduce them, &c/’ In what wood or woods, he obferved thefe plan- tations, I mull confets, I am quite at a lofs to find, having never obferved this regularity in any of the woods 1 have been in ; and I very lately afked a per- fon who has lived many years in that neighbourhood, deals largely in timber and underwood, and is over all thefe woods every year, who told me he knew of no fuch regular plantations in any of them ; that the chefnut grew intermixed with other trees, as in all ancient woods. Indeed, the amazing difiance of the plants from each other, which Mr. Barrington mentions^ is fome- what extraordinary ; as the ufual cuftom now, in planting fets of chefnut or alh, for hop poles, is about (even or eight feet difiance, as has been lately done by John Cocking Sole, Efqj in his plantation of chefnuts, at Newington. Tne woods, called the Chefnut wo >ds, the pro- perty of the Earl of Aylesford, which lie in the parifiaesof Newington, Borden, and Bobbing, abound vvith thele trees, which grow promifcuouily with others, both from fiubs and fiools of a large fize j VoL. LXI. X twenty [ '54 ] twenty acres of which are annually felled for poles,' &c. Cranbroke Wood, belonging to Mrs. Mercer, in Newington, has the chelnut in plenty with other trees, which produce poles in abundance, from old flubs and flools. The Squirrel Wood, the property of the Hon., Mr. Roper, in the parifh of Stockbury; thofe called Long Tun and Binbury, contain plenty of chefnut, intermixed with other trees, in which are very large chefnut pollards ^ to appearance fome hundred years Handing ; which grow on a poor foil, and are quite hollow Hiells, having no nourifhment but from the rind or bark ; yet throw out plenty of flioots from the roots. I have a farm in the parifli of Stockbury, called Nettlefled, forty acres of which are tithe free, which portion of tithes belonged to the great monaflery of St. Auflin, fituated without the walls of Canterbury. They were given in very ancient times to the ufe of the almonary or almonry of that-abbey ; as far back as the time of Archbilhop Walter, in the year 1193, how long before is uncertain, and are men- tioned by William Thorn, a monk of that houfe, and publiOied by Sir Roger Twifden, in the Decern Scrip- tores ; part of thefe tithes are woodland, and to this day called Almery or Ambry-Tanton.. In this wood are very old flools of chefnut, fome of which are ten feet circumference, and Hand promifcuoufly withi oak, afh, and other trees. Thefe flools yet pro- duce very good poles, which were felled once in my father’s time, and have twice, fince they have been in my poirefTion,. In; r *55 ] In fliort, all that vaft range of woods, called Stock* bury vallies, which extend from Key-ftreet to. Bin,- bury Pound, produce the chefnut in common with other trees ; the woods formerly belonging to the abbey of Lefnes, founded by Richard dc Lucie, chan- cellor and chief-juftice to Henry II. in the parUli of Earith, ftill called the Abbey woods, having great plenty of chefnut, both timber and ftub wood, and from the humps and ftools of large timber trees formerly felled, which ftools are now' quite hollow and'decayed, except the outward bark or fhell, round the crowns of which arife many ftools, and are cut for poles at the pmper growth. Church wood, in the fame parifti, has the likej and many others in this neighbourhood. In Wrotham parifh above Kemfing, is a wood belonging to a farm, called Cottons, which has chef- nut intermixed w'ith other trees. I could enumerate many more In different parts of this county, was it neceffary ; and I make no doubt, on due infpeftion, the like may be found in other counties of this kingdom: it is moft certain, the chef^ nut does not grow in every wood, but in fuch only, where the foil is adapted to it. Different ftrata will produce different trees ; as for example, the great wood called Jordens, in the parifhes of Bexley and North Cray, the woods beyond Ruxley towards Farningham, have fome acres nothing but birch, fome only hazel, &c. Godden-wood, in the parifti of Seal, is intirely birch. The woods on the Cold hills, of Chelsfield and Nockholt, run moft upon beech; and thofe in the Weald of Kent, upon a clayey foil, are chiefly oak, X 2 In C ^56 ] In anfwer to the' third and laft genera! rule j that the nuts of the chefnut tree ripen kindly, and in great quantity, is manifen; from the numbers of poor people at Earith, and the adjoining hamlet going into the woods at the proper feafon, and gathering fome a quarter, others three facks each, to fat their hogs, elpecially when pulfe and grain are dear. It is true, the nuts are not fo large as on trees which Hand fingle and open to the fun, in parks, court?, &c. Even the oak will not produce acorns in a wood, till it becomes an old treej and then not fo large and in fuch plenty as on old trees and pollards which Hand open in fields and hedge rows. But where the chefnut, as before obferved, Hands fingle and planted for ornament, as in the Wildernefs park, the feat of Mr. Prat, in Seal ; and in Bradbourn park, the feat of Sir Roger Twilden, Bart, at EaH Mailing, and divers other places, the nuts are large, well tailed, and in great plenty, yielding excellent food for the deer. It is well known that trees clofe planted in orchards will not produce fruit fo large and fair, as in kitchen gardens, where they Hand fingle, are often digged about, and manured. Mr. Barrington himfelf fays. Dr. Watfon informed him, “ that in Spain the chefnut trees deHined to “ produce the bell fruit, are engrafted upon the “ wild chefnut ; and that the French call the com- “ mon fort Chataignier, and the improved one “ Maronier,” If fo, the latter may be the fort which are annually brought to England, and fold at all the fruit Hiops, 6cc. and are called SpaniHi chefnut. Mr. Barrington fa)S, “ the very name of SpaniHi, “ fee ms [ IS7 ] feems moft ftrongly to indicate the country from “ which this tree was introduced here.” But why Spanifli? I do not know that it is any where here lo called, and none of the wood-men know it by that name. The old Botanical writer?, John Bauhine, Gerhard, and Parkinfon, call it Calfanea Vulgaris. Calpar Bauhine, in his Pinax, Callanea Sylveftris, the conunon or wild chefnut tree. Ray indeed, in ' his Synoplis, the 3d Edit, publiflaed by Dillenius', p. 449, has the following, “ in fylvis quibufdam prope “ Siitmgburn Cantii oppidum, & Woburn Bedfordiae, “ oblervavimus an fpontaneam, an olim ibi fatam, nef- “ cimus.” It is fomewhat drange that fo celebrated a Botanift fhould treat of it in fo flight a manner, and with feemingly fo little attention, as to men- tion it only in thofe two places. Ladly, Mr. Barrington fays, ‘‘ that many places, in every country, mud receive their appellation from “ indigenous trees which grow there, 6cc.” There are many trees which give few, if anv, ap- pellation to places. It does not therefore follow that they are not indigenous. In ancient time, England abounded more in woods and foreds than at prefent ; and the oak and alh being then two of the mod common trees, occafioned the names of the conti- guous places and paridies to receive their derivation. Notwithdanding his trial of the fpecimens of oak and chdnut, 1 am well adhred many old buildings were, and are, of the latter j elpecially in places where thefe trees dourifhed. When I repaired the old houfe at Nettleded, in Stockbury, in fawing off the end of the main girder, it was decayed at heart ; and C 158 ] and pronounced by the furveyor and carpenter then prefent to be chefnnt, as are the other timbers. Cowded, a very ancient feat in the fame parlfh, is intirely of that wood j and Dr. Stukely, in his letter to the late Lord Hardwick, read at the Society of Antiquaries, and fince publiihed in the Arch^o- logia, p. 44. fays, “ the curious roof of the large hall “ of the manlion houfe at Lefnes is of chefnut, which no doubt was felled in the abbey woods there.” In latter times, the feat called Mount Mafcal, in the parilh of North Cray, rebuilt by Sir Comport bitch, Bart, about lourfcore years lince, the girders and large timber of which are, as I am well in- formed, of chefnut felled in the woods adjoining. And why (hould it not have been iifed in build- ings, feeing it is very durable, and grows to a great lize ? witnefs the tine trees felled lad fummer, to- gether with fome oak and beech, in the park of Penlhurd in this county ; poHibly in length of time, the charatderidick of the chelnut trees decaying Inwardly, might be the reafon of the oaks being modly ufed, as the more durable timber j and the , former found to turn to better account for under- wood and poles; elpecially when hops came into ufe in Henry tlte Eighth’s time, and are the bed for that purpole. Even oak, by reafon of its fcarcity and dearnefs, is now little ufed in publick buildings ; fir- timber altogether fupplying its place. The chefnut tree yet alive in the court at Tort- worth, in Gloucederlhire, fuppofed by Evelyn and Bradley to have been planted in the time of King John, may poifibly be the olded tree of the kind extant in this kingdom ; but is no proof of there not I [ 159 ] not being chefnut trees before that time : Any more than the famous tree called Bears oak, in the park at Penfhurfl; abovementioned ; or the well-known tree called Filher’s oak, in the parifh of Farnborough, in this county ; or that in Welbeck park, the feat of the Duke of Portland, were .fome of the firft trees of that kind here planted j the fituation and orna- ment of thefe trees protected them from the axe. The common elm, Evelyn thinks not to be an indigenous tree, and it may not as it is feldom, if ever, found growing in woods ; but in road ways, hedge rows, &c. j and not in the North of England,, though, as Mr. Ray obferves, fome trees are only found in the North, fome in the South, and others in the Weft j neither does the elm, when an old tree, flioot kindly from the ftool. I agree with Mr. Barrington, that the box tree is an exotick j buf theyewis certainly indigenous, as I think may be eafily proved, and which he affents to, but doubts whether the euonymus or fpindle tree, and liguflrum or privet, are fo ; moft certainly they are, as no flirubs are more common on dry banks, and in hedges, &c. ; but, as he alligns no reafon for their not being indigenous, I fhall dwell no longer on that fubje(3-, and conclude. Dear Sir, Your moft humble fervant,- Bexley, Nov. . z6. 1770. J. Thorpe. XIX. Jixtra6p [ '6o ] XIX. RxiraB of a 'Letter from Edward Hafted, Efq-, F. R. S. and F. S. A, to Dr. Ducarelj concerning Chefnut Frees. Dear Sir, Read March 8, jsj anfwer to *Mi*. B’s I ft rule — I A muft remark, inftances are exceeding frequent of woods and coppices breaking off, by a fudden change, to other trees, and that where the fiutation and ftrata are entirely the fame ; fometimes without any mark of divifion, and fometimes with a ditch only, an old ftnb for a boundary, or per- haps diftinguithed only by the difference in the growth of the underwood, or the like. It is a known facff, that particular forts of frees have grown in large traffs and maftes in a country, which have been in fucceeding times almoft extirpated from thence, either from others being more diligently en- couraged and preferved, or from the prelent deilruc- tive method of too frequent cutting them down ; and only fcattered ftubs or trees have remained of the fort, thinly difperled in woods and hedges. The wich, elm, maple, and others, are indigenous trees ; and yet feldom, if ever, grow in large maffes, or cover confiderable trads of ground; the reafon of 3 which [ i6i ] which is, they never fhoot from the ftool fo as to make any confiderable progrefs. As to the 2d — A tree, or particular wood, may grow very kindly in a coppice, and yet in procefs of time, by the continual felling of the wood, may be entirely worn out, when other forts, which bear the woodman’s cutting-bill more kindly, will increafe, and overrun the former, fo as to fill every vacancy made by it. Befides, there are fome kinds of wood which are poifoned, and in time decay by the near affinity of others. The afli is a particular infiance of this poifonous quality towards other trees. As to the 3d rule of feeds ripening kindly j I mufi difagree in this too, as I find very few, if any, whether indigenous or not, whofe feeds do not ripen here fufiicient to continue the tree eafily ; and where it is not in profufion, the indigenous tree will be found as deficient as fome others, which are known to be otherwife. Mr. B’s lafi rule, of places taking their name from indigenous trees which grow there, may ferve as well to prove all trees whatfoever fo : there being but few trees which have grown in Britain, but our very ingenious etymologifis have derived the names of fome places from them. — Singular infiances, I own, I do not recolleft. All kinds of things in general adopt the name of that country where they grow, or are made in the greateft perfection. — Infiances of this are obvious in every neceflary of life. The chefnut, whofe fruit ripens in Spain in much more perfedtion than in this variable and colder climate, has gained the addi- tional name of Spanifii to it, among the merchants VoL. LXL. Y and C 162' 1 i^nd venders of them, though in the country villages the woodmen will yet talk of the growth of this right English Chesnut, And as to Pliny’s telling ‘us that chefnuts were brought from Sardis to Italy long before his time ; that does not make it leis probable that they might have been the growth of Brita.n, at the very time they were brought from thence to Rome. The ancient Norman buildings are moftly of this wood, wdiich in all probability was fetched from’ this country ; moft of the ftone wherewdth our mo- nafteries and buildings of fuch lort were erected came from Normandy. This feems to have been a mutual traffick for fome centuries between the two countries. How the notion arofe fird, that the fored rnen- tioned by Fitz-Stevens to the Northward of London, was modly of chefnut, I do not know, nor could I ever find any authority for it; though it continues the afiertion of moh literary men. If I might conjedure, I fliould think it to have arifen from a blunder and miftake of the name of Norwood ; there being many decayed flubbs of chefnuts in the archbifliop of Canterbury’s Norwood, not far from London ; which is, no doubt, the place Mr. Miller means, when he mentions fuch having been fcen in the neighbourhood of the metropolis. Mod antiquarians affert that Old London was built of chefnut : that this tree grew near London, has been proved above from Norwood, and may from the name of Chefhunt, in Hertfordlbire ; that it may have done fo in former times in great plenty, might be fuppofed from what I have faid before j but one I reafon [ 1^3 ] reafon of its decay may be afllgned to the great in- Greafe of the metropolis, which confumed moft of the chefniit timber near it; and the dubbs of fuch beiiag much fubjedl to decay, few, if any of them, could naturally lafl; to this time, fo as to bring any profit to the owner, but have been grubbed up from time to time, till they are now almoft totally era- dicated; and I think, there is great probability that the univeiTal decay and deftrudtion of this kind of timber, throughout the realm, appeared in fo ferious a light to the legiflature, as to give the firff rife for our laws for the prefervation of timber in general. Oak timber is fo entirely different from chefnut, in the rings and fpaces, which appear when cut tranfveriely, that it is impoflible to miftake the one. from the other. In a note, p. 96. of the Anglo-Norman anti- quities, mention ia made, of a large tradt of chefnut woods, near Sittingbourne, in Kent (and in the North Weft part of Eafl Kent,- as it fliould be printed); which is certainly right ; thefe woods are a very large tradl, which more or lefs have chefnut flubbs fpread- over the whole fpace of them. They extend fomc miles, from the environs of the town of Milton,, by the old highway (now difufed), leading from, thence to Maidftone. The general name of the- whole tradf, is Chefnut or Cheflney Woods. Tiie 40 acres mentioned in the laid note to have been! grubbed up, were only felled; and were of fuch a lize and growth, as to be moftly ufed as timber. On; the top of Chefnut Hill between Newington and^ Sittingbourne, there ftood a chefnut tree of prodigi- ous fize, which has been felled within thefe few Y. 2 years, > C ] years, the ftool of which may now be feen clofe to the high road. The produdion of nature in this vaft tradl of woods is fo plain, that it would be abfurd to ufe arguments to defend it; nor fliall I bring examples of it from other countries, which might be had : I Hiall only take notice, with Dr. Ducarel, that in the ancient forefts of Kent , which lay to the fouth of it, adjoining to Suffex and Surry, there remain large old chefnut flubs or brocks, now almoft worn out, and peridied, which are left by the woodmen as termini or boundaries, either of pariflies or of private property ; which is the univcrfai cuflom every where made ufe of to didinguifli the wood of dif- ferent owners, and are never cut down or altered; fo that they mufl have flood facred to this ufe, from the firfl introdudfion of private property into this ifland ; and were no doubt even then of confde- rable age, by their being made choice of for this ufe, in preference to any others. But to return to the neighbourhood of Milton. — The manor of Norwood, within that parilh, is called, in the highcfl records we are acquainted with, Nor- wood-Cheflney, Chaflney, and Caflney, no doubt from the great plenty of chefnut within its bounds, even in thofe early times. Nor is this a hngular in- flance of any place in England being named from the chefnut tree ; Chefliunt, in Suffolk ; and Chefliunt, in Hertfordfhire, having both their names from the plenty of chefnuts near them : the lafl of thefe places. Chancy tells us, feems in old time to have abounded with them ; and that mofl of the ancient houfes in that vill were built of them; and in the ve- nerable [ 1^5 ] nerable book of Doomfday, we have an account of a quantityof woodland in this parifh, fufficient for the feeding of 1200 hogs, which fliews us that this conliderable tradt of wood was of fuch fort, as to afford plenty of good food for fwine; as it certainly muft be to afford pannage for fo large a number ; and that thefe woods were chefnuts, may in all pro- bability be prefumed from the above circumflances. The fame venerable record llkewife mentions the village of Box, alias Boxbury, in Hertfordiliire ; which, the learned Serjeant tells us, was fo called from a large wood, which retains the name to this day ; and I have now before me the names of more than a dozen parifhes and places, which have taken their names from the box tree, and retain it to this time. The fir, no doubt, from every evidence that can be had of former times, and by the evidence of our own eyes, from the numbers of them which have been dug up in almoft every part of Britain, was an indigenous tree of this county; notwith- flanding Caefar’s affertion to the contrary, who ap- pears to have been but little acquainted with it, when he tells us, “ this ifland had every kind of “ tree the fame as Gaul, except the fir and the “ beech both of which were in the greateft plenty here at that very time ; the latter was particularly fo within the county of Kent, the only fpot he might be faid to be acquainted with : and yet, after this, no one fure will affert that either of thefe trees are not indigenous ; though the former of them is entirely extirpated (as the produdlion of nature) from the Southern part of Britain, which the chefhut is not; though it is made ufe of as an argument againft its [ i66 ] its being the natural product of this country. The elm bears every mark of its being indigenous j and, according to one of Mr. B’s general rules, it muft be fo, for there are near 40 places in England, which take their name from this tree, mod; of which are mentioned in the book of Doomfday. Whoever has been much acquainted with the woods and tracts of ground lying on our Chalky Hills, will furely never contend that the yew is not the indigenous growth of this country. l am. Dear Sir, Yours, &c. Huntmgfield, in Kent,, Nov. 29, 1770. Edw. HafledL [ 1^7 ] XX. jd Letter from the Hon. Daines Bar- rington, F.R.S. to Mathew .Maty, M.D. Sec, R. S. occafioned hy the three precede ing Letters. Dear Sir, February 15, 1771. Read March 8, 1771. HAVE lately had an opportunity of peruhng three letters from Dr. Du- carel, Mr. Thorpe, and Mr. Hafted, which con- tend that the fweet chefnut is an indigenous tree of this country, and which are intended to be com- municated to the Royal Society. As I do not fee any reafon for altering the opinions which I have happened to form on this fubjedt, from what is contained in thefe three letters, I fhould not trouble the Society with any anfwer to the contents of them, did not Mr. Thorpe contradidt, on the teftimony of another perfon, what I have afferted I was an ocular witnefs of. I mufi: therefore a fecond time repeat, that the chefnut woods near Newington, in Kent, are planted in rows at four or five yards diftance (other trees often intervening) ; and for a proof of this fad, I refer Mr. Thorpe to the woods on the North Eaft of the church } [ i68 ] church* ; as alfo the wood to the eastward of the great road to Canterbury, immediately after you leave the town of Newington. I fpent very near a whole day in the examination of thefc woods ; but I would more particularly re- fer to the two chefnut plantations above fpecified, as they were juft then fhooting from the ftools, when I took this very minute view of them. 1 have already faid, that I am willing to leave the point in controverfy, upon what hath been advanced on the one fide, and on the other. I will only beg leave to ftate a fingle obfervation, together with what Teems to be an inference that is fairly deducible from it, and which is applicable to any difputes, with regard to trees being of native growth, or otherwife. I believe I may fay, that I have been* almoft in every corner of the twelve Welfh counties ; and never faw a beech tree in any of them, which had the leaft pretence to be indigenous. I will fuppofe, however, that a wood of any given number of acres, with beech in it, was found in the central part of the principality ; and that thefc trees were not planted in rows (as at Newington and Sittingborne) ; but difperfed, as happens in other indigenous woods. Could it poffibly be contended, that fuch beech trees had not been introduced by fome planter j notwithftanding it might be proved to be a wood of great antiquity ? ^ I think, I can depend upon my memory fo far, as to fay that the chefnuts I have alluded to, are at the North Eaft of the church j but at all events, they are very near to it. 3 C 169 ] If this was infifted upon, it muft at the fame time be conceived, that when the beech mart was wafted by>^ the wind to fuch a moft feleded fpot, fome preternatural caufe mini; have preveated its being Town in any intermediate place. I am, Dear Sir, Your moft faithful humble fervant. Daines Barrington. Tol.. LXL z XXL Jn C *70 ] Received November 15, 1770. XXL An Accoufit of the Nyl-ghau^ a7t Indian Animal^ not hitherto defer ih ed : By William Hunter, Af. D, F, R, S. Read Feb. 28, A MONG the rlches which, of late *77 »• years, have been imported from India, may be reckoned a fine animal, the Nyl-ghau j which, it is to be hoped, will now be propagated in this country, fo as to become one of the mofl ufeful, or at lead one of the mod ornamental beads of the field. It is larger than any ruminant of this country, except the ox ; its flefli probably will be found to be delicious ; and, if it fhould prove docile enough to be eafily trained to labour, its great fwiftnefs, with confiderable drength, might be applied, one would think, to valuable purpofes. Good paintings of animals give much clearer ideas than deferiptions. Whoever looks at the pidure, which was done under my eye, by Mr, Stubbs, that excellent painter of animals (fee Tab. V.), can never be at a lofs to know the Nyl-ghau, wherever he may happen to meet with it. However, I fliall at- tempt a defeription of the animal ; and then give as much of its hidory as I have been hitherto able to learn. The account will be imperfed : yet it will give naturalids fome pleafure in the mean time to know . i C *71 ] know even a little of a large and elegant animal* which has not hitherto been defcribed, or painted. At firft fight, the male Nyl-ghau flruck my ima- gination with being of a middle nature, between black cattle and deer; fuch an animal as we might fuppofe a mule would be, that was the produce of thofe two fpecies of hearts. In fize, it is as much fmaller than the one, as it is larger than the other : and in its form there is a very apparent mixture of refemblance to both. Its body, horns, and tail, are not unlike thofe of a bull ; and the head, neck, and legs, are very like thofe of deer. Colour. The colour, in general, is arti, or grey, from a mixture of black hairs and white : moft of the hairs are half white, and half black ; the white part is towards the root. The colour of its legs is darker than that of its body ; the fame thing may be faid of its head, with this peculiarity, that there the darker colour is not general and uniform, but fome parts are almort quite black. In fome parts to be mentioned hereafter, the hair is of a beautiful white colour. Trunk. The height of the back, where there is a flight eminence over the flaoulder-blade, is four feet and one inch ; at the highert part, immediately behind the loins, it is only four feet. The general length of the trunk, as feen in a fide view, from the root of the neck to the pendulous tail, is about four feet ; which is nearly the height of the animal j fo that, in a fide view, when it ftands with its legs parallel, its back and limbs make nearly three fides 7j z of C 172 ] of a fquare, and the ground upon which it flands makes the fourth. Round the body, immediately behind the flioulder, it nieafurcs four feet and ten inches; and a little more juft before the hind-legs ; but this laft dinien- iion, no doubt, will vary confiderably, as it happens to be more full or empty of food and drink. Hair. The hair on the body In general is thinner, more briftly, and ftronger, than on our black cattle. On the belly, and upper part of the limbs, it is longer and fofter than upon the back and fides. Mane. All along the ridge or edge of the neck and back, as far as the poftcrior part of the hump which is over the ftioulder-blades, the hair is blacker, longer, and more eredl; making a ftiort, and thin, upright mane. The umbilical and hypogaftric regions of the belly, the infide of the thighs, and all thofe parts which are covered by the tail, are white. The^r<2?- putiutn penis is not marked with a tuft of hair; and the ftieath of the penis projeds very little. Testicles. The tefticles are oblong and pen- dulous, as in a bull. Tall. The bones of the tail come down to within two inches of the top of the os calcis. The end of the tail is ornamented with long black hair, and likewife with feme white, efpecially on the in- fide. On the infide of the tail, except near its ex- tremity, there is no hair; and on the right and left C *73 ] left there is a border of long white hair, which makes it on the infide look like a feather. Legs. The legs are fmail in proportion to their length j more fo than in our black cattle, and rather lefs fo than in our deer. The length of the fore- leg is a little more than two feet and feven inches. There is one white fpot on the fore part of each foot, almoft immediately above the large hoofs j and another fmaller white fpot before the fmall hoofs : above each of the fmall hoofs, there is a remark- able tuft of long white hair, which turns round in a flat curl. The large hoofs of the fore-leg, are of an awkward length. This was very .obfer- vable in every one of the five individuals of this fpecies which I have feen ; yet it was fufpedfed to be the effedl of confinement; and the examination of the hoof, in the dead animal, proved that it was fo. * Neck. The neck is long and flender, as in deer ; and when the head is raifed, it has the double turn of the Italic letter S. At the throat, there is a flaield- like fpot of beautiful white hair; and lower down, on the beginning of the convexity of the neck, there is a mane-like tuft of long, black hair. Head. The head is long and flender. From the horns, it rifes upwards and backwards to join the neck. Its length, from the horns only to the point of the nofe, is about one feet two inches and three, quarters. Nose» I [ *74 ] Nose. The partition between the noftrils was artificially perforated for fixing a cord, or bridle, ac- cording to the Eaftern cuftom of tying up or lead- ing horned cattle. The noftrils are very long, in a diredion almofi; parallel to the mouth, and are widefi: at their anterior end. Mouth. The riSlm orh is long ; and as far as this reaches, the lower jaw is white : fo is the up- per lip, as far as the noftril. Teeth. There are fix grinders in each fide of each jaw, and four incifor teeth in each half of the lower jaw. The firfl; of the incifors is very broad ; and the reft fmaller in gradation, as they are placed more outwards or backwards. Eyes. The eyes in general are dark coloured ; for all of the conjunBiva that can be commonly feen is of that complexion. In an oblique or fide view, the cornea^ and all that is feen through it, is blue, like burnilhed fteel. The pupil is oval, or oblong, from fide to fide ; and the irii is almoft black. Ears. The ears are large and beautiful, above feven inches in length, and fpread to a confiderable breadth near their end. They are white on their edge, and on their infide ; except where two black bands mark the hollow of the ear with a zebra-like variety. Hgrns. The horns are feven inches long; they arc fix inches round at their root, and growing fmaller 3 [ 175 ] fmaller ty degrees, they terminate in a blunt point. At their root they have three flattened fides, divided by fo many angles : one of the angles is turned for- wards, and confequently one of the fides backwards. This triangular fhape is gradually lefs perceptible towards the extremity. At the root there are flight circular wrinkles, in proportion to the age of the animal. The body and point of the horn is fmooth, and the whole of a very dark colour. They rife up- wards, forewards and outwards at a very obtufe angle, with the forehead or face. They are gently bended, and the concavity is turned inwards, and a little forewards. The diftance between them at the roots is three inches and a quarter, at the points fix inches and a quarter, and at their moft hollow middle parts lefs than fix inches. Food. It eats oats, but not greedily; is fonder of grafs and hay * ; but is always delighted with wheat bread. When thirfty, it would drink two gallons of water. D UNG. Its dung is in the form of fmall round balls, of the fize of a nut-meg; and it pafTes a quantity of thefe together, with a rufhing found. Manners. Though it was reported to have been exceedingly vicious, it was in reality a moft gentle creature while in my cuftody, fcemed pleafed with every kind of familiarity, always licked the * General Carnac informs me, that no hay is made in India; their horfes are fed with grafs frefh cut, and a grain of the pulfe^ kind, called Gram. hand [*76] hand which either ftroaked, or gave it bread, and never once attempted to Life its horns ofFenfively. It leemed to have much dependance on it’s organs of fmdl, and fnuffed keenly, and with noife, when- ever any perfon came within fight. It did fo like- wife when any food or drink was brought to it ; and w'as lb ealily offended with a fmell, or fo cautious,, that it would not tafte the bread which I offered, when my hand had touched oil of turpentine or fpirits Its manner of fighting is very particular : it was obferved at Lord Clive’s, where two males were put into a little inclofiire ; and it was related to me by his Lordfhip, thus : While they were at a confidera- ble diftance from each other, they prepared for the attack, by falling down upon their fore-knees ; then they Ihuflied towards each other with a quick pace, keeping ffill upon their fore-knees, and wdien they were come wnthin fome yards, they made a fpring,, and darted againft each other. All the time that two of them were in my ffable, I obferved this particularity, viz. that whenever any attempt was made upon them, they immediately fell down upon their fore-knees i and fometimes they * General Carnac, in fome obfervations which he favoured me with upon this fubjedf, fays, “ All of the deer kind have ‘‘ the fenfe of fmelling very exquifite.. I have frequently ob- “ ferved of tame deer, to whom bread is often given, and which they are in general fond of, that if you prefent them a piece that has been bitten,, they will not touch it. I have “ made the fame obfervation of a remarkable fine ftie-goat,. “ which accompanied me, moft of my campaigns in India; and “ fupplied me with milk, and which, in gratitude for her fer- vices, i brought from abroad with me.” would) [ 177 ] would do fo when I came before them i but, as they never darted, I fo little thought this pofture meant hoftility, that I rather fuppofed it expreffive of a timid or obfequious humility Female. The Female differs fo much from the Makt that w^e fhould fcarcely fuppofe them to be the fame fpecies. She is much fmaller, both in height and thicknefs. In her fhape, and in her yellowifh colour, Ihe very much refembles deer; and has no horns. She has four nipples, and is fuppofed to go nine months with young. She commonly has one at a birth, and fornetimes twins. The young male Nyl-ghau is like the female in colour, and therefore like a Fawn. Species. When a new animal is prefented to us, it will often be difficult, and fornetimes impof- fible, to determine its, ijaecies, by the external cha- radlers alone. But when fuch an animal is diffedted by an anatomift, who is a mafler in comparative ■* The intrepidity and force wi'h which they dart againll any objedf may be conceived from the following anecdote, of the fineft and largeft of thofe animals that has ever been feen in England. The violence which he did to himfelf, was fuppofed to occafion his death, which happened foon after. A poor la- bouring man, without knowing that the animal was near him, and therefore neither meaning to offend, nor fufpedfing the danger, came up near to the outfide of the pales of the in- clofure ; the Nyl-ghau, with the quicknefs of lightening, darted againft the wood work, with fuch violence, that he broke it to pieces; and broke off one of his horns clofe to the root. From this piece of hiftory and farther inquiry, I was fatisfied that the animal is vicious and fierce in the rutting feafon, how- ever gentle and tame at other times. VoL. LXI. A a anatomy, [178] anatomy, the queftion is commonly to be decided with certainty. From the external marks alone, I fufpeifted, or rather believed, the Nyl-ghau to be a peculiar and diftindt fpecies. Some of my acquaintance thought it a deer. The permanent horns convinced me that it was not. Others thought it an antelope. The horns, and the fize of the animal, made me fufped: that it was not^ It had fo much of the lhape of deer, efpecially the female, that I could not fup- pofe it to be of the fame fpecies with our black cattle.. In rutting time, one of the males was put into a paddock with a female of the red- deer : but nothing like attradfion or attention was obferved be- tween them. At length, in confequence of tlie death of one of them, I was afllired by my brother, who didedted it, and who has diire<5led with great attention almod every known quadrupede, that the Nyl-ghau, is a new fpecies History. Of late years feveral of this fpecies, both male and female, have been brought to Eng- land. The firft were fent from Bombay, by Gov. Cromelen, as a prefent to Lord Clive : they arrived in Auguft 1767. They were male and female, and continue to breed every year. Afterwards two were brought over, and prefented to the Q^en by Mr. Sullivan. From her Majefty's delirc to encourage every ufeful or curious enquiry in natural knowledge, * Mr. Pennant, whofe love of natural hiftory heightens the en- joymenit cf an insdependent fortune, in his &ynopfts, publifbecl Jince thfe paper was written, claifes this animal (IVhite-footedy p. 2^.) as a fpecies of the Antilap^i but he now thinks it Wlongs to aaothet GVwzif, aad will clafa It accordingly in hia a«£t editiou. 1 was t *79 ] I was permitted to keep thefe two for fome time ; which enabled me to defcribe them, and to get a cor- redt pidture made; and, with my brother’s affiftance to difTedt the dead animal, and preferve the (kin and fkeleton. Lord Clive has been fo kind to give me every help that he could furnifli me with, in making out their hiftory j fo has General Carnac, and fome other gentlemen. At all the places in India, where we have fettle- ments, they are rarities, brought from the diftant in- terior parts of the country, as prefents to Nabobs and great men. Lord Clive, General Carnac, Mr. Wallh, Mr. Watts, and many other gentlemen, who have feen much of India, tell me they never faw them wild. So far as I have yet found, Bernier is the only author who has even mentioned them In the 4th Vol. of his Memoires, he gives an account of a journey which he undertook, ann'. 1664, from Delhi, to the province of Cachemire, with the Mo- gul Aurengzeb, who went to that terreftrial paradife, as it is efteemed by the Indians, to avoid the heat of the fummer. In giving an account of the hunt- ing, which was the Emperor’s amufement in this journey, he defcribes, among others, that of le Nyl^ ghau } but without faying more of the animal, than * Since the reading of this paper, I have received the fol- lowing information from Dr. Maty. In the fourth Volume of Valentyn’s defeription of the Eaft Indies, publifticd in Low Dutch, 1727, under the article of Batavia, p. 231, I find amongft the uncommon animals kept at the caftle, this (hort indication, “ There was a beaft, of the fize and colour of a Danifh ox, but lefs heavy, pointed towards the mouth, afli- “ grey, and not lefs than an Elk, who^e name he bore.” It was a prefent from the Mogul. A a 2 that [ i8o ] that the Emperor fometimes kills them in fucli numbers, as to diflribute quarters of them to all his Omrachs; which fliews that they were there wild, and in plenty, and efteemed good or delicious food. This agrees with the rarity of thefe animals at Bengal, Madrafs, and Bombay : for Cachemire is the moft northern province of the Empire ; and it was on the march from Delhi to that place, that Bernier faw the Emperor hunt them. Name. The word Nyl-ghau^ for thefe are the component letters correfponding to the Perhan, though pronounced as if it were written NeeUgaw^ fignifies a blue cow, or rather a bull, Ga%v being mafeuline ; and the male animal of that name has a good title to the appellation, as well from the likenefs he bears in fome parts to that fpecies of cattle ; as from the bluifh tindt which is very difcernible in the colour of his body; but this is by no means the cafe with the female, which has a near refemblance, as well in colour as in form, to our red deer. The Nyl-ghaus which have been brought to England have been moft, if not all, of them received from Surat or Bombay ; and they feem to be lefs uncom- mon in that part of India, than in Bengal ; which gives room for a conjedture that they may be indi- genous perhaps in the province of Guzarat, one of the moft Weftern and moft conftderable of the Hinduftan empire, lying to the Northward of Surat, and ftretching away to the Indian ocean, A gentleman * who has been long in India, and has an extenfive acquaintance there, has written to General Carnac, who likew-fe favoured me with the pre- cedinji article uoon the oasne of the ajiicnal. his [ ] bis friends, to collect all the intelligence they can poffibly procure concerning this animal ; and in the courfe of the next year, fome fatisfadory in- formation may. perhaps be received from thence, though the natives of that country, he fays, have - no turn whatever after natural hilfory; and in- deed are very little • inquilitive after any kind of- knowledge,. XXII. Ob^ [ ] XXII. Obfervations on the Aphides of Lin- naeus, by Dr, William Richardfon, of Ripon, Yorkfhire : Communicated by William Heberden, M. D» F,R, S, Read Mar. 14, he learned Limcetis "by his un- wearied application having reduced the various produdions of nature into one regular fyftem, and clearly diftinguidied the numerous tribe of infeds into their diftind clafTes and fubdivihons, feems to me to have laid a more folid foundation for the natural hiflory of thefe minute animals, than any other writer who has gone before him. Difficult, however, as it is to lay fo firm a foundation, the fuperftrudure muff dill be efteemed a more ar- duous undertaking j as it is eafier to diffinguifh the outward form, even of the minutefl infeds, than to difcover their internal nature and difpofition. This is a knowledge not to be attained by any fingle perfon, be his genius and diligence ever fo great ; but to bring it to any degree of perfedion, will re- quire the joint endeavours of the curious in all ages, and in all the different parts of the world. From which confiderations, I am induced to throw in my mite towards promoting fo ufeful an undertaking ; by reducing my obfervations on this furprizing kind of infed, into a more concife and regular form. 4 Though [ i83 ] Though the Aphides are diftinguifhed by Linnaeus ' into more than thirty fpecies; ftlll 1 am fatisfied, from my own obfervation, the diftindl fpecies are even double that number: nor can I altogether agree with this ingenious author, that there are a greater variety of plants producing Aphides, than there are different forts of this infed:. Where plants are of a like nature, they are ufually frequented by the fame infeds ; but many of thefe plants will be found to fupport two or more quite different forts. On the peach and nedarine indeed the Aphides are the fame, nor do I find on thefe trees more than one fort. The plum tree, on the other hand, has two forts, very diffind from each other: one of a yei- lowifh. green, with a round fhort body j the other of a bluifh^green, as it were enameled with white, and the fhape more oblong. On the goofberry-bufh .> and ‘currant the fame Aphides may be found ; but each of thefe is inhabited by two very different fpecies: one being of a dufky green, with a fhort' plump body ; the other of a paler green, the body more taper, and tranfverfly wrinkled. To thefe in- ftances I muff further add, that the rofe-tree fup- ports not lefs than three diffind fpecies : The largeff of which is of a deep green, having long legs of a brownifh caff, with the joints of a very dark brown, as are alfo the horns and antennas > a fecond fort is paler green, has much fhorter legs, and a more flat body i the third fort is of a pale red, its body tranf- ver% wrinkled, and is moff frequently on the fweet- brier. It not being, however, fo much my inten- tion to enumerate the different fpecies of thefe in- feds, as to give fome infight into their extraordi- nary [184] nary nature j the inftances I have already produced •will, I flatter myfelf, be thought fuflicient. The great variety of fpecies which occur in the infeds now under confideration may indeed make an enquiry into their particular natures feem not a little fntricate and perplexed ; having them, however, Ikil- fully reduced under their proper genus, the dif- ficulty is by this means confiderably diminifhed. All the infeds comprehended under any difliind genus, we may reafonably fuppofe to partake of one general nature; and, by diligently examining any of the particular fpecies, may thence gain fome infight into the nature of all the reft. With this view I have chofen, ^out of the various forts of Aphides, the largeft .of thofe found on the rofe tree; not only as its fize makes it the more confpicuous, but as there are few others of fo long a duration. This fort, appearing early in the fpring, continues late in the autumn; while feveral are limited to a much ■fliorter term, in conformity to the different trees and plants from whence they drew their nourifh- -ment. SECTION I. If at the beginning of February the weather hap- pens to be fo warm, as to make the buds of the rofe tree fwell and appear green ; fmall aphides are fre- quently to be found upon them, not larger than the young ones in fummer, when firft produced. But there being no old ones to be found at this time of the year, which in fummer I had oblerved to be viviparous ; I was formerly not a little perplexed by fuch [ *85 ] I'uch different appearances, and almoff induced- to give credit to the old dodirine of equivocal gene- ration. That fhe fame kind of animal fhould, at one time of the year be viviparous, and at another oviparous, was an opinion I could then by no means entertain. This, however, frequent obfervation has at laft convinced me to be fadt j having found thofe Aphides, which appear early in the fpring, to pro- ceed from fmall black oval eggs, which were de- pouted on the lafl: year’s (hoots in autumn : though, when it happens that thofe infedls make too early an appearance, I have obferved the greateft part to fuffer from the (harp weather that ufually lucceeds; by which means the rofe trees are fome years in a manner freed from them. Thofe which wichftand the feverity of the wea- ther, feldom come to their full growth before the month of April ; at which time they ufually begin to breed, after twice cafting off their exuvire, or out- ward-covering. It then appears that they are all females, which produce each of them a very nume- rous progeny, and that without having intercourfe with any male infedt. As I obferved before, they are viviparous ; and what is equally uncommon, the young ones all come into the world backwards. When they fird: come from the parent, they are en- veloped by a thin membrane, having in this (itua- tion the appearnce of an oval egg j which I appre- hend muff have induced Reaumur to fufpeft that the eggs difcovered by Bennet were norhing more than abortions. This egg-like appearance adheres by one extremity to the mother, while the young ©ne therein contained extends the other j by that V ol.LXI. B b means C 186 ] means gradually drawing the ruptured membrane, over the head and body, to the hind feet. During this operation, and for fome time after, by means of fomething glutinous, the fore part of the head adheres to the vent of the parent. Being thus fuf- pended in the air, it foon frees itfdf from the mem- brane in which it was confined’, and after its limbs are a little ftrengthened, is fet down on fome tender flioot, and then left to provide for itfelf. When the fpring proves mild, and confequently favourable to this kind of infedl, I have obferved not only the rofe trees, but various kinds of fruit- trees, to be greatly injured by them. Hence 1 was firfi; introduced to inveftigate the nature of thefe infers ; in order to find out fome expedient, where- by lo great an evil might be prevented. To avoid being tedious by defcending to particulars, I thall recommend the following general rule ; viz. to lop olf the infedled fiioots before thefe infedts are greatly multiplied j repeating the fame operation before the time their eggs are depofited. By the firfi; pruning, you will prevent a very numerous prefent increafe ; and by the fecond, may intirely cut olf the next year’s fiipply. SECTION II. In the fpring months, there appear on the rofe tree but two generations of Aphides, including ihofe which immediately proceed from the laft year’s eggs ; the warmth of the fummer adds fo much to their fertility, that no lefs than five generations fuc- ceed each other during that interval. One is pro- duced C *87 ’] duced in May, which twice cads off its covering ^ •while the months of June and July each fupply two more, which caff off their coverings three or four times, according to the different warmth of the feafon. This frequent change of the outward covering is the more extraordinary, as it is the ofteneft repeated when the infedls come the fooneft to their growth ; which I have fometimes obferved to hap- pen in ten days, where warmth and plenty of nourifliment have mutually confpired. From which confiderations, I am thoroughly convinced, that thefe various coverings are not connate with the infedl ; but that they are like, the fcarf-fkin, fucceffively pro- duced. Early in the month of June, fome of the third generation, which were produced about the middle of May, after cafting off their laft covering, difcover four ercdl wings, much longer than their bodies: and the fame is obfervable in all the fuceeding gene- rations, which are produced during the lummer months j without however diftinguifhing any diver- fity of fex, as is ufual in feveral other kinds of in- feds. For fome time before the Aphides come to their full growth, it is eafy to dilcover which of them will have wings, by a remarkable fulnefs in the bread:, which in the others is hardly to be didin- guidied from the body. When the lad covering is rejeded, the wings, which were before folded up in a very narrow compafs, gradually extend themfelves in a mod furprizing manner, till their dimenfions are at lad very confiderable. But thefe winged ones have this further peculiarity, that the number of them does not feem fo much to depend on their B b 2 original [ i88 ] original flruflure, as on the quantity or quality of the nourifhment wherewith they are fupplied : it being frequently obfervable, that thofe on a fucculcnt flioot have few or none with wings among them ; while others of the fame generation, on a lefs tender branch, are moft of them winged : as if the firfl rudiments of the wings werecompofed in the former, while nature thought proper to expand them in the latter, that they might be more at liberty to fupply their wants. The increafe of thefe Infefls in the fummer time is fo very great, that, by wounding and exhaufling the tender fhoots, they would frequently fupprefs all vegetation, had they not many enemies which reftrain them. To enumerate the variety of other infe(n:s, that in their worm and fly flate are conftant- ly deftroying them, would exceed the bounds of my prefent defign : there is one, however, fo fingu- lar in the manner of executing its purpofe, that I cannot pafs it by without fome further notice. This is a very fmall black ichneumon fly, with a flender body, and very long antennae; which darts its pointed tail into the bodies of the Aphides, at the fame time depofiting an egg in each. This egg produces a worm, which feeds upon the contain- ing infe6f, till it has acquired its full growth ; wlien it is ufually changed to that kind of fly from whence it had its origin. In this, however, it is fometimes prevented by another foit of fmall black fly, wdfich wounds this worm through its pearl- like habitation ; and by laying one of its eggs therein, inlfead of the former fly, produces its own likenefs, A 4 T mufl [ 189 ] I mull: however further obferve, notwithftanding thefe infedts have many enemies, they are not with- out friends ; if we may confider thofe as fuch, who are very officious in their attendance, for the good things they expedl to reap thereby. The ant and the bee are both of this kind, colleding the honey in which the Aphides abound j but with this dif- ference, that the ants are conftant vilitors, the bee only when flowers are fcarce. To which let me alfo add, that the ants will fuck in the delicious nedarj while the Aphides are in the ad • of difcharging it from the anus ; but the bees only colled it from the leaves, on which this honev^dew has fallen. SECTION III.. In the autumn, I find three more generations of Aphides to be produced; two of which make their appearance in the month of Augufl:, and the third ufually before the middle of September. As the two fir ft differ in no refped from thofe which we meet with in fummcr, it would be wafting time to dwell any longer upon them; but the third, differing greatly from all the reft, demands our giving it a more ferious attention. Though all the Aphides which have hitherto appeared were females, in this tenth generation are found feveral male infeds ; not that they are by any means fo numerous as the fe- males, being only produced by a fmall part of the former generation. To which I muft further add, that I have obferved thofe which produce males, previoufly to have produced a number of females j w’hich in all refpeds refembling thofe already de- fcribedj r igo ] fcribed, I fliall decline taking into any further con- lide ration. The females have at firfl altogether the fame ap- pearance with thofe of the former generations ; but in a few days their colour changes from a green to a yellow, which is gradually converted into an orange- colour, before they come to their full growth. They differ likewife in another refped, at leall from thofe which occur in the fummer, that all thofe yellow females are without wings. The male infects are however ftill more remarkable; their outward appear- ance readily diflinguilhing them, from the females of this and all other generations. When firfl pro- duced, they are not of a green colour like the reft, but of a reddifli brown ; and have afterwards, when they begin to thicken about the breaft, a dark line along the middle of the back. Thefe male infedfs come to their full growth in about three weeks time, and then caft off their laft covering ; the whole infedl being after this operation of a bright yellow, the wings only excepted. But they foon change to a darker yellow, and in a few hours to a very dark brown ; if we except the body, which is fomething lighter coloured, and has a reddifh caft. They are all of the winged fort ; and the wings, which are white at firft, loon become tranfparent, and at length appear like very fine black gauze. The males no fooncr come to maturity, than they copulate with the females^ in which adl they are readily difcovered, as they remain in conjundlion for a conliderable time, and are not eafily difturbed. The commerce between them continues the whole month of Odtober, and may be obferved' at ail times [ I9I ] of the day j though I have found it mofl frequent about noon, efpecially when the weather is mode- rately warm,- with the fun overcaft. The females, in a day or two after their intercourfe with the males, I have obferved to lay their eggs; which they ufually do near the buds, when they are left to their own choice. Where there are a number crowded together, they of courfe interfere with each other; in which cafe, they will frequently depofit their eggs on other parts of the branches, or even on the fpines with which they are befet. I do not however find that the eggs produced by thefe in- fedts bear any proportion to the number of young ones which proceed from the females of other gene- rations ; not having obferved any one infedt to pro- duce more than two or three, and that in appear- ance^with great difEculty. Having now traced .their 'progrefs through the different feafons of the year, and obferved the vari- ous metamorphofes which they fucceflively under- go; I cannot help fufpedting the infufficiency of human reafon, in fetting any fcheme to which the different changes of inledts. may be accurately re- duced. Though the indefatigable Swammerdam feems to have been fully convinced that there is no infed, whofe changes may not be reduced to one or other of the four orders he has defcribed ; fill I the infedl now under confideratlon, having at dif- ferent feafons quite different appearances, cannot, I think, with flridfnefs be confined to any of them. In the fpring they feem in fome meafure to coincide with the firft order, though in fummer thofe with wings more properly belong to the fecond ; but in autumn. [ *92 ] autumn, the males may Teem to come under one or- der, and the females under another; or, I fhould rather think thefe infeds are not clearly reducible to any order. E C T I O N IV. Some of the in feds now under confideration con- ‘tinuing to lay their eggs till the beginning of No- vember, I choofe to defer giving a more particular account of them, till the feafon for which they feem by nature to have been defigned. Thefe eggs are of a regular oval figure, being about the tenth part of an inch in length, and the twentieth in breadth ; which, though it may feem a very inconfiderable 'bulk, is certainly large for fo minute an in fed:. When they are firfl; produced, their colour is green, but ,in a few days turns to brown, and by degrees be- comes quite black. The covering of the eggs may be called thick, if compared with its fmall fize ; which at firft is rather of a yielding nature j but, after .being expofed to the air, foon contrads a greater firmnefs. If this covering is wounded, there ifiues .forth a mucilaginous fluid, which is very tranfparent, and in appearance of a uniform confidence. Thefe .eggs adhere firmly to the branches on which they ,are depofited, by means of fomething glutinous \wherewith they are befmeared, and in a mod fur- prizing manner refid all the feverity of the winter. Though I have jud now obferved, the contents .of the eggs to have the appearance of an uniform fluid ; that this cannot in reality be the cafe, fuflici- cntly appears from the Aphides they produce in - the C >93 ] the fpring, uithout any other aid than the warmth of the feafon. Nor is a Tingle infed to beefteemed the whole produd of an egg, fince it has been clearly fliewn, that ten generations fuccecd each other ; the firft rudiments of which mud; have been originally in the egg, as the females have no com- munication with the males but in autumn. The wonder however becomes dill greater, when we con- fider the number of individuals in each generation ; this being, I am fully convinced, at a medium, not lefs than fifty. Whoever pleafes to multiply by fifty, nine times over, may by this means form fome no- tion of the great number of infedfs produced from a lingle egg j but will at the fame time find that number fo immenfe, as to exceed all comprehen- fion., and indeed to be little diort of infinity. How far this can be reconciled with any theory of gene- ration which the ingenuity of man has hitherto in- vented, may be a contemplation not altogether un- worthy our curiofity, though I fear it will not turn out much to the credit of our reafoning faculties. The ancient dodrine of equivocal generation, as alfo that from an admixtion of the feminal matter of both fexes, being now quite rejeded by all mo- dern naturalids ; two other opinions feem to have fprung up in their dead. While one party aderts, that the original organization of the feetus cxifts in the ovary of the female, and that it is vivified by a fubtile fpirit in the fpermatic fluid of the male ; the other lays it down for a certainty, that the eggs of the female are only to be conddered as a proper nidus, provided for the reception of thofe minute animal- cules, with which the male femen is found to VoL. LXI, C c abound C 19+ ] abound. As the former opinion does not appear to have any certain fadt to fupport it, we may well fuf- pedl an infufficiency in the caufe to produce the elfeft affigned j but, fuppofing it adequate to the produc- tion of one generation, who can conceive a fubtile fpirit to remain in force for ten generations, and that through all the various feafons of the year ? With regard to 'the latter, I mud; obferve, that the animalcules of Leeuwenhoek being compared with Malpighi’s firft rudiments of the chick, their refem- blance is not fo ftriking as to afford me the lead: convidlion : but Ihould we allow thefe animalcules requifite to produce the firft generation, how then are the fubfequent nine generations produced with- out them? Not being able lo anfwer thefe queries myfelf, nor expedting them to be readily anlwered by others ; it feems moft prudent to obferve with diligence what nature does, without being over anxi- ous to difeover by what means. Let us reft fatisfied in admiring the wonderful effedfs of generation, while we refer the primary efficient caufe to the e- lernal will and power of an Almighty Creator, Me- Read March 2 r, 1771, XXIII, Meteorological Obfervations at Ludgvan in Mount’s- Bay, Cornwall, 1770 : By William Borlafe, Z). Z). F, R, S» Communicated by JDr» Jeremiah Milles, Dean of Exeter, and F, R, S/ B o B h <75 -c 6fi > O 4-> > 'i u >- &;b o O s ■5 o 2s^ ON c (U •£ rt 3 CT ^ A nj .rT' c G «, o -o >s c « ■S « 10 w u u sz j:; *-* 4-1 S 5 o o S ° CO g OJ JC -o c c cl o HD 'S *-* CS bDn: •P ^ cti (D n3 S E eg 5 4J • ry c J2 .2 ^ ^ u CJ -£ ••' o CO "o c o (S ct; o U J3 __ e; ON CO -I d cf> CO cs T^CX) ej 4J J= > fcO 5 s »-) rl 3 JZ a P«-i »■' r- • J3 >>x: n •-' "3 *-• .3 O' c O'Sk •£ -3 CO -G C 00 (^J ! bO C ^ ON CO «S ei 4 «U >^ ^ t: CS > Cl> S ^ ef -3 2 c ^ •l^ e: jz 2 Vp O ^ is o S c« 'T3 CO O J3 rS C* & "O g: c 'oS o V. G w X g 3 c O . . nr 3 a CT* jC 3 - O CO . Month. Sarometcr. f State of the Weather and Wind. 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"S o CTJ *G & EpJ o c S G4 ^ ^ j-i cj O c GS o -rj (U X w o ^ ^ Vi M G2 o S GiX i> e ^ > c « W3 y 1- a/ h !U JD 4j & ^ i; o M X cS.S G u -a u x; c > « c^ OJ • «% C SJ . •£-S^ CO C ■ >,•'- C/5 -5 -G • \0 ” lU -3 ^ c u s o a> 3 ca 33 ^ JG cG g: -L =* t' ® c '■■« U S -G rj- O '• • O CO lU CS CN ^ rj-co •■‘^ 5: ct; o 4/ (U X > >^ .^O « K O 2> 0 O IN o' x: > 1 m a r Gi rci O 4^ Cw #> O r^ a >- c c5 (Pi o h c o Wc 4> J3 O «ts o Q> ►G E u > o u E V L/ O XXIV, Defer iptUn [ 198 ] XXIV. Defcription of a new Hygrometer tr By Mr, John Smeaton, F. R, S, • Re*id March 2 ^T_T I N G foiTie years ago attempted 1771- -J^ J[ to make an accurate and feniible hygrometer, by means of a hempen cord, of a very confiderable length ; I quickly found, that, though it was more than fufficiently fufceptible of every . change in the humidity of the atmofphere, yet the cord was, upon the whole, in a continual flate of lengthening. Though this change was the greatefl: at hrft, yet it did not appear probable that any given time would bring it to a certainty j and futhermore it feemed, that, as the cord grew more determi- nate in mean length, the alteration by certain dif- ferences of moifture grew lefs. Now as, on conli- dering wood, paper, catgut, &c. there did not ap- pear to be a likelihood of finding any fubftance futficientlv fenfible of differences of moifture, that , would be unalterable under the fame degrees there- of ; this led me to confider of a conftrudtion which would readily admit of an adjuftment ; fo that, though the cord whereby the inftrument is adfuated may be variable in itfelf; both as to abfolute length, and difference of length under given degrees of moif- ture, yet that, on fuppofttion of a material depar- ture from its original feale, it might be readily re- 4 ftorcd ' j r 199 ] ftored thereto, and In conrequence that any numbers of hygrometers, fimilarly conftrufted, might, like thermometers, be capable of fpeaking the fame language. The two points of heat, the more readily deter- nunable in a thermometer, are the points of freezing and boiling water. In like manner, to conflruff hygrometers which fliall be- capable of agreement, it is neced'ary to eftablifh 'two different degrees of a moiflure which fliall be as fixed in themfelves, and to which we can as readily and as often have re- courfe as poffible. One point is given by making the fubftance perfeftly wet, which Teems fufliciently determinable j the other is that of perfe lay the fibres thereof clofe together, and thereby caufing it to lengthen as much as poffible : when the index is thus become ftafionary, which will generally hap- pen in about an hour (more or lefs as the air is naturally more or lefs dry), by means of the peg at top raife or deprefs the index, till it lays over the point o ; this done, remove the inftrument from the fire, and having ready fome warm water in a teacup, take a ‘ middling camel’s hair pencil ; and dipping it in the water, gently anomt the cord, till it will drink up no more, and till the index becomes flationary, and water will no more have effedl upon it } which will alfo generally happen in about an hour. If in this date the index lays over the de- gree marked loo, all is right; if not, flack the Icrew S, and Aide the fcale nearer to or further from the center, till the point loo comes under the in- dex, and then the inftrument is adjufted for ufe : but, if the compafs of the Aide is not fufheient to efteft this, as may pro^bly happen on the Arft adjuftment, Aack the proper ferews, and move the Aiding ftudd I nearer to or further from the center of the index, according as the angle formed by the index, between the points of dry and wet, happeneth to be too fmall or too large for the fcale ; the quan- tity can eafily be judged of, fo as the next time to come within the compafs of the Aide of the fcale j the quantity of Aide being 4 of ^he length of the index, and confequently its compafs of adjuft- ment of the whole variable quantity. Now as ffiding the ftudd I will vary the polition of the in- 7 4 [ 207 ] dex refpeding the point of o, this movement is only to be confidered as a rough or preparatory ad- juftment, to bring it within the coinpafs ol the Hide of the fcale ; which will not often happen to be neceffary after the fiift time j but in this cafe, the adjuflment muft be repeated in the fame man- ner, by drying and wetting as before defcribed. It is to be remarked, that, as the cord is fuppofed' impregated in a given degree with common fait,, and this not liable to evaporate, care muft be taken in wetting, that no drops of wet be luffered to fall from the cord : for, by the obfervance hereof,, the original quantity is preferved in the cord. Obfervations ,mad€ upon two original Hygrometers. Thefe hygrometers were firfl adjuded, after the- impregnation of the cords with common fait, in February 1770 ; they were kept together in a flair- cafe till the fummer following ; they were frequently obferved, and rarely found to differ more than one degree. In fummer, one of them remaining in the former place, the other was removed into a paffage through a building; which having no doors, and the inftru- ' ment being hung fo that neither rain nor the diredl rays of the fun could fall upon it, thereby it became expofed to the winds, and the free paffage of the open air. In thefe fituations the two hygrometers not only differed very greatly in quantity, but even frequently were moving different ways. They were thus continued till January 1771J in which fpace of time I obferved, that the moft ordinary place of the , index. [ 2o8 ] index was between 15° and 25'’ in the open air j that at 40° the atmofphere felt very fcnfibJy moid j but yet it was frequently above 60° j and more than once at 70°, or very near, I have therefore marked the point of o dry \ 20® the mean^ 40° 70® very mojiy 1 00° wet. I do not, however, mean thofe words (that of dry and wet excepted) as of any 'other intent, than that of general diredtion, in like manner as thofe upon the barometer j leaving the relative degrees of moidure to be judged of by the fcale. In the month of January lad, I redored the ex- pofed hygrometer to its former place in the daircafe, when both indruments were again compared together j and they rarely didered more than i degree, and never fo much as 2°. After this, they were both removed together to the out padage 3 and there they agreed nearly in the fame manner, the utmod difference not exceeding 2 degrees. After fome tryal here, one of them was readjuded, leaving the other hanging in its place. On redoring the new adjuded indru- ment to the other, they now differed about 5°, the new adjuded one danding fo much higher. The day following the^ other was readjuded alfo, and afterwards redored to its place with the former, which had been left in the out padage ; and after this readjudment they both agreed to 1°. This be- ing obferved for fome days, one of them was taken down, in order to be packed up for London ; this I have now the honour of exhibiting to the Royal Society ; and I beg to leave it in the Society’s houfe, that in cafe any one diould be defirous [ 209 1 defirous of having an inftrument made on the fame plan, they may have recourfe thereto. It appears from the foregoing obfervations, that, in the compafs of 1 1 months, the cords had ftretch- ed the value of 5° : and I alfo obferved that they both had contraded their compafs about 10°. I would, therefore recommend, that an hygrometer fhould from its firft adjuftment, be readjufted at the end of three months, and again, at the end of fix months from the firft; after that, at the interval of about fix months, to the end of two years from the beginning ; and after that, I apprehend that once a year will fuffice ; the beft time of adjuftment, being ' in the dry and warm weather of July or Auguft: and by thefe means, I apprehend the inftrument will be always kept within 2° of its proper point. Refpeding the fenfibility of this inftrument, it has that in a greater degree than its conftancy to its fcale can be depended upon, which was all that I intended ; where greater degrees of fenfibility are required, to make comparifons at fmall intervals of time, the beard of a wild oat, and other con- ftrudlions may be ufed, with advantage ; this inftru- ment being confidered as a cheque upom them as to more diftant periods. General Condujion, I am aware that an hygrometer actuated by any principle of the kind here made ufe of may not be a meafurer of the quantity of moifture, adlually dif- folved in, and intimately mixed, with the air; but only indicates the difpofition of the air to part with, VoL. LXI. E e or f C 210 ] or precipitate the water contained in its fubdance or, on the contrary, to diffolve and Imbibe a greater quantity : but as it is by feparating the efFedts of na- tural caufes, that we are enabled to judge of thefe caufes, and from thence their effedls when again compounded 5 every attempt to afcertain the operations of a fimple caufe will have its value in the fearch into nature ; nor can we a priori determine the value of any new inftrument; for, if it fliould lead to a fingle difcovery, or even to afcertain a fingle fadt, this may again lead to others of great importance, of which we might have, either none, or an im- perfedt idea of before. For my own part, I have always looked on a thick fog, and the fweating, or condenfation of the water’s vapours upon the walls in the infide of buildings, to be the greatell marks of a moift atmofphere : whereas I have not always found the hygrometer aftedled at thefe times in the higheft degree. On the contrary at the clofe of a fine day, and the fall of the dew on the fud'- den approach of a frofl, I have found the hygro- meter more affedled by moifture than in fome of the preceeding cafes ; and flill more by a falling dew in the time of an hard froft. I juft mention thefe matters of hints for the enquiry of others ^ not having had length of time, fince 1 brought the inftrument to anfwer my iirtention, to mako’ any abfolute con- clu lions. I am forry I have been obliged to take fo much compafs, to defcribe and explain a very limple in- ftrument ; but as I meant at the fame time to give fome idea of what is to be expedled from it, I thought it C 2II ] it more excufable to be prolix than not fufficiently explicit. London, - March 21, 1771. J. Smeatpn. P. S. It is to be noted, that, after each readjuft- ment, though the hygrometers would generally with- in a few hours come near their point, yet it was not till the next day that they could be depended on, as having come to their neareft agreement. XXV_. Lettev^ E e 2 [ 212 ] XXV. ^ Letter from Mr. John Baptifl: Bec- caria, of Turin, F.R.S. to Mr. John Canton, F. R. S. on his rew Phofphorus receiving feveral Colours^ and only emit- ting the fame.- Clariflimo Viro JoANNi Canton, M. A. et Lond. Soc. Membro* . meritiff. Joannes Baptifta Beccaria, ex Scholiis Piis, S. P. D. Read April ii, r | ^HECAS plures confici curavi ex la- JL mina ferrea cylindraceas intus ni- gerrimas. Operculum late pertufum cryftallo occlu- ditur, colore in theca quaque diverfo. Singulis th ecis offas immili ex phofphoro calcareo-fnlphureo fingulas omnia pares. Hae claufae foli objiciuntur fimul omnes; afportatas in tenebras aperio, atque^ offam, quas per cryftallum viridem, video virefcere;. rubefcere, quae per rubram y flavefccre, quae per flavam cryftallum lucem imbuit : videlicet confit hoc ex- periment jam non quantam folum lucem ebiberit phofphorus, fed et qualem, earn ipfum unice emittere.. Q^d etiam experimentum Regiae Societati obveniet lortafTe non injucundum. Vale. Summo Franklinio obfequium meo nomine, ct falutem plurimam dicas rogo. XXVI. Some [ 213 3 XXVI. Some Remarks on the EffeBs of the late Cold in February I aft : in a Letter from the Rev. R. Watfon, Fellow ^Tri- nity College, and Profejfor of Chemiftry at Cambridge, to Mathew Maty, M,D» Sec, R, S, Dear Sir^ Trin^ Col!. Cam. March 21, 1771. Read April II, 3Sf the 1 2th of laft February, about an hour after fun rifing,. I obferved at Cambridge a degree of cold which is very un- ufual in England, though common enough in more northern climates. Fahrenheit’s thermometer, made by Dollond, as well in the open air, as when covered withfnow, flood as low as 6° above o. The Cam, by no means a rapid river, remained unfrozen j at the tides indeed there was a little ice, and fome fmall flakes floating in the middle. This is no very uncommon phaenomenon. The Seine was not frozen at Paris in 1709, though the cold continued for two days one degree greater than in the prefent cafe. Various reafons have been produced, in order to ac- count for this feemins: deviation from the ufual ccuj*fe. of nature.. It hath, been generally believed that. i [ '2H .] that the flrong current in the Seine impeded the congelation : motion will certainly hinder the parts of fluid bodies from acquiring a regular arrange- ment; but it may be doubted whether it will wholly prevent their coalefcence, in any cafe where the degree of heat is lefs than what would keep them fluid if they were quiefeent. We have frequent in- ftances in chemiflry, of faturated folutions of fdts reti'iaining perfedlly fluid whili^ at reft, and of form- ing thick coagulums upon the leaft motion. Melted metals, glafs, refins, See. appear to continue fluid for a longer time, after being taken from the fire, by having their parts moved, than if they are left at reft ; becaufe the fuperficies which is expofed to the air is conftantly changing, and the whole mafs becomes uniformly cold and fixed at once, as foon as it has parted with the heat neceftary for its fufion. The moft rapid rivers would probably experience a - flmilar change, did the cold in the atmofphere con- tinue long enough to be communicated to the whole body of the water : for upon taking the thermo- meter out of the fnow, which laid upon the bank of the river, and immerfing it into the water, it fuddenly rofe 26°, and flood at 32°, or higher ; fo that the air was very confiderably colder than the water : nor is this at all to be wondered at, when we confider that great degrees of cold may be fuddenly produced in the atmofphere by caufes which do not immediately operate upon other bodies. Thus the influx of colder air from the northern latitudes, or the'delcent of that which always remains exceeding- ly cold in the up(.^r parts of the atmofphere in the fame 6 [ 215 3 fame latitude, may in a few hours wholly change the air of a particular diftrid : or, if from any pe- culiar circiimftance the air flicjlild become unufually dry, and confequently difpofed to difiblve much water, a great degree of cold might be almoO: in- flan taneoufly produced j but which could not be communicated to other bodies, in a little time, by lb rare a fluid as the air. During the forementioned degree of cold, a thick vapour was feen riling from the furface, and marking as it were the courfe of the river. If we attribute the elevation of this vapour to the attradion of the air, rather than to the comparative warmth of the water (for water juft beginning to freeze is oh- ferved not to lofe of its weight by evaporation i/2 va- cuo J the great cold may be thought perhaps, to have proceeded from the folution of water in air which was then carrying on ; for the earth was glutted with humidity, and the air was become dry, having been freed from its water by an almofl; inceflant precipi- tation for three davs, under the form of fnow or •f ' fleet. It is very remarkable, that the extreme cold, of January 13, 1709, came on at Paris, with- a gentle fouth wind, and was diminiflied when the wind changed to the north j this is accounted for by' M. de la Hire, from the wind’s having pafled over the mountains of Auvergne to the fouth of Paris,, then; covered with fnow j and by Mr. Homberg, froini the reflux of that air, which had been flowing, for fome time from the north. I do. not fee from w^hat philofophical principle it can be fuppofed, that the lame air in its regrcfs from a fouthern latitude fliould, b®L [ 2i6 ] be colder than in its progrefs from a northern ; and as to the other opinion, the pha?nomenon of the cold’s increafing upon the wind’s changing from north to louth, hath been taken notice of in other places, where there was no fnow to refer it to. May it not deferve to be confidered, whether the fudden folution of large quantities of aqueous vapours, brought from the fouth into a dry northern air, be not a caufe adequate to the’effedt produced ? The folubili- ty of water in air is diftind:ly mentioned by Dr. Halley, in the Philof. Tranf. N° 192; and in the 6th Vol. of the French Encyclopedic, publifhed in 1756; and more fully and ingenioully treated of by Dr. Hamilton in 1765 : the cold attending the fo- lution is a phaenomenon fimilar to 'that attending many other chemical folutions, and is in a lefs de- gree fenfibly felt by every one who goes into a room newly wallied, or flreet in the fummer time lately watered. Upon taking the thermometer out of the river, its bulb was quickly covered with a thin cruft of ice, which defended it fo much from the cold fubfifting in the atmofphere, that it did not fink two degrees in ten minutes ; whereas, when it was wiped dry after immerfion in water, it funk above 20° in a lefs fpace of time: this circumftance fhews that ice doth not tranfmit cold, and is explained by the ex- periments of M. Richmann, who hath eftabliftied it as a principle, that metallic fubftances are far more quickly afteded in their dimenfions by the tranfitions from heat to cold, and the contrary, than any other bodies yet known. 7 Being [ 217 ] Being defiro'us of obferving the effed of this ex- traordinary degree of cold upon various faline folu- tions, I haftened to my elaboratory, where 1 hap- pened to have a great many folutions of lalts corked up in quart bottles ; the bottles were not all full, but the folutions were perfedly faturatedj the date in which I found them is exprefl'ed in the following table. ^Frozen wholly Frozen nearly Wholly fluid Alum Green vitriol Sea fait Cream of Tartar Blue vitriol Sal gemmae Arfenic Rochelle fait Sal ammoniac Corrof, fublimate Glauber’s fait genuine Volatile alkaline fait Borax White vitriol, a few Fixt alkali per deliq. Nitre glacial fpicula Epfom falts 1 Lyming- Glauber falts f ton. Thefe experiments agree upon the whole very well with thofe of profeffor Braunius, related in the Peterfburgh Commentaries for 1763 : for, though his faturated folutions of Epfom falts, ^nd of fixt alkali, had begun to freeze in a lefs degree of cold, yet it is probable that his Epfom falts might have been different from thofe manufadfured at Lymington, and the folution'of his fixt alkali not fo well faturated as that which is made per deliquium. During the fame froft, I endeavoured to find out the powers, by which different falts, when they are diffolved in water, refift congelation. With this view I diffolved equal weights of falts, equally dry, in equal quantities of water, and expofed the folu- VoL. LXL F f tions [ 2l8 ] jfions, when they were arrived at the fame degree of heat, m veiTels of equal and fimilar figures to the- fame freezing atmofphere ; and accurately marking the times in which they began to freeze, I found them obferving the following order : firfl alum, then Rochelle filt, green vitriol, fugar refined, white vi- triol, vitriolated tartar, Glauber’s fait, mineral fixt alkali, nitre, blue vitriol, volatile alkali, fal ammoniac, lad: of all, fea fait. Thefe experiments were repeated once or twice with feme attention ; yet I would not be thought to propofe the order in which I have- arranged the feveral falts, as wholly to be relied on. It were to be wiflied, that a fufficient number of ex- periments were accurately made upon this fubjedV fome general truths relative to metallic earths, and alkaline neutral falts, would probably be obtained- therefrom, which, however unimportant in them- felves, might ferve, upon fome occafion or other, as connedfiiig links, to extend the chain of our ideas. By this comparifon of equal quantities of different lalts dillblved in equal quantities of water, we might be enabled to fpeak with as much precifion, con- cerning the powers by which they refid congelation, as wc do concerning thofe by which they refill putre- fadion. I know not whether it may not be thought -too curious a remark to obferve, that the Ocean is im- pregnated with that fpecies of fait which refills con- gelation with the greatefl power, and in fuch a quantity as tends not to preferve entire, but to accele- rate the difiblution of the numberlefs animals which are daily dying in it. Beecher, it hath been allerted, was acquainted with tliis property of common fait j but [ 219 ] but he feems only to fpeak of it as a far lefs efilca- cious anti-feptic than fugar ; at leaf:, the honour of afcertaining the proportion in which it adts as a feptic undoubtedly belongs to Sir John Pringle; for Beecher, in his Phyjica Subterraneay lib, I. Je5l, v. cap. i. where he is fpeaking of this matter, fays, “ quod nimius falls ufus corpus putrefeere faciat, licut modicus a putredine praefervat.” To a table exhibiting the relative powers of neutral falts in refifling congelation, another might be ufe- fully added, denoting the powers of all the known acids and alkalies when diluted to a given denfity; as alfo of vinous fpirits, from highly redtified fpirits of wine to water impregnated with the minutefl quantity of fpirit. Not but that it may be con- jedtured a priori, that in this laft cafe the refifiiance to congelation would be diredly as the quantity of fpirit contained in given quantities of water. I made an experiment of this kind with fea fait; in equal quantities of water were diflblved quantities of fea fait, increafing in the arithmetical progreflion, o, 5, 10, 15, 20, 6cc. ; the times in which the folutions began to freeze, reckoning from the time in which fimple water began, increafed accurately in the fame progreffion : hence it may be inferred, that, in fait of the fame kind, the refinance to congelation is in the dired fimple proportion of the quantity of fait diflblved; this conclufion cannot be extended to falts of different kinds, fince water faturated with fea fait is more difficultly congealed than when faturated with various other falts, which it difiblves in greater quantities. F 2 Thefc [ 220 ] “ Tlicfe obfervatlons, which are only propofed as hints to thofe who have more leifure for experimental enquiries, you will be fo obliging as to commu- nicate to the Royal Society, or not,, as you think: proper. I am, Dear Sir, Your mod; faithful’ and obedient lervant. . R» Watfon« I XX ni, ^ [ 221 ] XXVII. A Letter from Thomas Barker, Lfq\ of Lyndon in Rutlandrhire, to James Weft, Lfq\ Pref R, S» concerning Ob- fervations of the i^uantities of Rain falleJt at that Plojce for feveral Tears^. S I Lyndon, March 22, 17710 Read April the Other fide is the quantity of »77i* rain, which has fallen at Lyndon in Rutland, fince May 1736, with a table of the mean rain in the firfi; four or five years, and every ten years fince ; which thews that there has been more rain in the latter part of this period, than in the former. But the leaft four years were from 1740 to 43, little more than i6f inches a year j and the greatefi: four years from 1767 to 70, above 25I inches a year. For comparing of dry feafons and wet ones, I have made a table of the three driefi: months, the three driefi: two months, three, four, &c. to twelve fuc- ceflive months ; and a like table of wet ones : but as the years 1763, 68, 70, exceeded any others, I have made another like table of them. There arc no three months come up to the lafi; quarter of 1770, 2 [ 222 ] 7 1 inches of which came in three weeks, from Nov. 6 to 26; but 1763 and 68, were wetter than 70, except thofe three months : and in this country 63 was the wetteftj yet, by what I -heard, 1 fuppofe 68 exceeded it in many places. In common fpeaking, thofe are called wet years, in which the fummer, the growing feafon, was wet and cold ; and thofe dry ones, wherein the fummer was dry and burning j fo that though 1740, i, 2, and 3, had all but little rain, yet 42 and 43 were not properly called dry years, becaufe the ground never burned long together; and as the different degrees of heat, and frequency of rain, do not appear in this table, one cannot certainly judge, from the quantity of rain, which were the dried: fummers. Thofe complained of for dry, were, 1737, 40, 41, 50, 60, 62, and 65; but the hotted and mod burning were 1750, 60, and 62 ; and 40 and 65 were cold and dry. On the other hand, the wet years were 1738, 39, 51, 52, 56, 63, and 66 to 70 ; but the wetted 175 1, 56, 63, and 68 ; and above all the lad quarter of 1770. Feb. 12 lad, the thermometer abroad, was down at 4 of Fahrenheit’s fcale, which is lower than I have obferved it in above 20 years pad; the lowed I had before obferved, was io|, Jan. 5, 1768. I have therefore given the rife and fall of the thermometer for above a week in the frod. Feb. [ 223 ] Morn Afternoon Feb. 8 27 N.byW. 36 E.N.E. 9 261 N.E. 29i N.E. 10 28 N. E. 33 E.byW.- 1 1 24I E.S.E. 29I S. W. 12 4 W.byN. 31 N. W. 13 w. S. 14 9 s. w. 25 S.S.W. 15 12 s. w. 27I E. 16 3^ E.byW. 35i E. It was remarkable, that as long as the wind continued N. E. the froft was moderate, when it turned S, W. it became very fevere ; and when the wind turned back into the Eaft again, the froft went away. This looks as if the weather was^feverer Southward than here ; as I think was likewife the cafe in Feb. 1754, which was alfo a very cold feafon. I am. Sir, Your humble ftrvant, Tho. Barker. ] :'1on, mean rain at different periods 1 4 4 years ry years .56-40 - 10 years 40-50 io yean 50-60 10 years 60-70 34 years Annual quanti 1 1737 1 1738 ties of 1739 rain. 1740 35 36-70 1736 ) 1 1 . 2'7 i 1. 410 1.722 1.606 1 1-544 0.615 1.788 2.430 0.250 Jan. 4 t : 11.194 0.856 I-. 146 1-7^5 1.234 1.660. 0.568 2.487 o.c6c Feb. h n.roi 1-374 1. 472 1*143 1-303 1.768 1.189 0.814 0.6^2 Adar. P' '1-34^ 1.394 i.,905 1.298 1.510 0.676 1.230 2.585 0.872 April 4 11.408 T. I 96 1.609 1. 661 1.476 0.985 I.ooo. 2.160 1.860 1.026 May Hi ( 1.406, 2.272 2.158 2.614 2.213 0.922 0.720 2.420 1*537 1*430 June 4 '2.623 2.052 2 974 2,478 2.518 6.550. 0.306 0.624 1.965 3.668 July t 3-^74 1.105 2-. 701 2.302 2.194 2.500 6.300 1.418 2.350 2.8co •Aun. ■\ 1 .2. 1 28 I 7^5 1-.370 I-73I 1.694 1.540 3’4^5 2.1 10 1*903 1.620 Sept. c 11.517 1.741 1.561 2.673 1.924 2.350 2.025 1.640 0.522 1.050 oa. w 0.985 1-939 1.614 2-325 1 .820 0.620 9.570 0.692 1*557 1.488 1 . 7 •; 2 J-443 1.898 1.729 1.698 1.500 1.830 1.320 1:540 2.412 D C. 1,9.790(18.547 22.130 23.275I2 1 .1 18 16.967 j ^0-935! 17-159 21,660 ! 17.318 Annual. I 224 ] Anmial quantities of rain at Lyndon, I7-D 1742 1743 1744 1745 1746 1747 00 M i 1749 1750 Jan. 1.088 I-43S 0.406 1.198 0.827 1.758 2,862 0.938 2.483 1. 107 Jan. Feb. 0.618 0.863 0.365 0.941 0.572 1.706 1.2 1 1 0.369 1.017 0.894 Feb. Alar. D.568 0.05s 1-193 1.428 2.541 1.880 1.240 1.946 1.870 1.020 Mar, April 0.270 i.go8 1.252 2-759 1.708 0.762 1.017 1.367 0.548 2.348 April IVlay 0.441 1.546 0.868 1.257 1-137 0.546 2.829 1.178 1.107 0-995 -VI ay 1 une i.366 1,430 0-379 3-479 3-451 2.900 1.562 3-044 3-039 2.069 June July 0.873 3-136 5.230 0.820 0.724 1.442 2.248 3-484 1.049 1.510 July Aug. J-6.33 0.160 1. 124 0-9.57 3-934 0.456 0.071 1-305 0.767 0.640 Aug. Septi 4-935 1.778 0.008 3.298 0.899 1-633 1.922 0-553 0.618 1.003 Sept. OcL 1.460 2.386 3.088 3.142 1,460 2.274 0.582 1.060 1.086 0.875 oa. Nov. 1.960 2.417 0.724 2.276 2.067 1.789 4.920 0.430 0.688 2.124 Nov. Dec. 0.490 0.163 1.427 1,168 1-233 1-279 3.624 1-549 1.674 1.827 Dec. 15.702 17.277 16.064 22.723 20.553 18.425 24.088 17.223 16.946 16.412 Annual quantities of rain at Lyndon, 175^ 1,752 1753 1 1754 1755 1756 1757 1758 1759 1760 Jan, 3.098 2.518 1.692 0.925 1.02 1 2.016 t 2.144 1.867 0.876 1.062 Jan. Feb. 0.924 1-377 1.841 0.887 0-835 0.689 0-594 2.060 0-379 1.872 Feb. ALir. 2.046 1.203 1.172 1.247 1.657 1.370 1-905 1.792 1-874 0452 Mar. April 3.086 0.827 1-395 1-455 1.965 3-899 2.ogo 0-917 3.026 0.389 April Aiay 2.656 2.134 0.980 1.400 1-393 1.258 1-371 1.269 2-739 0.890 May fun( ' 1.847 3.084 1.007 2.883 1.81 1 2-973 0-375 2.160 2 970 2-470 June July 4.989 3.678 2-595 3-849 1-585 3-197 3.002 5-023 ' 0.927 0.89s July Aue. 1-580 1-334 3-380 1.060 2.258 4.257 6.057 1.71 1 3-729 1.644 Aug. Sep: 2.614 0.480 0.706 0.107 2.546 2.080 0.518 1-465 0.854 2-333 Sept. (,)a. 1.819 0.295 1.458 1,866 1.628 1.528 1-954 1.0J2 1.500 2-531 oa. Nov. 1-338 1.090 2, 1 1 2 i.q6o 3-138 0.975 1.498 0.9 12 0 9H0 2.134 Nov. Dec. 1.161 3.127 3-865 2.218 1.408 0.944 2.175 1-386 1.085 1.613 Dec. 27.158 21.147 22.203 19.857 21.245 25.186 23-683. 21-594 20.939I18.285 Annual i ■[ 225 ] Annual quantities of rain at Lyndon. 1761 1762 1763 ' 1764 1 1765 1766 1767 1 1768 1769 1 1770 • • 0.191 1.727 0.600 3*984 »*435 0.164 3*079 2.834 1*194 0.852 Jan. 1.. , 1.469 1 0.968 2.882 i*i34 1.240 2.102 2.002 3.062 1.556 0.736 Feb. . «L • 0.529 - 1*527 0.919 0.829 2.767 0.785 1.052 0-391 : 0.693 : 1*934 Mar. il , 0.490 ^:595 0.692 1.524 2.1 1 1 1*955 0.845 2.023 . 0.843. 1 .906 April yv 2.035 0*738 2-3P4 1.095 0.406 3.286. 2.123 1.622 . i*45i 1*553 May lie • i 3*487 0*764. • 2.4,26 2.182 0.788 2.279 2.163 4.521 4 769. 2.765 June i ;r ^ 1 , 0.566 I.1 19 5*657 4.624 0.582 2.363 3.682 2.402 . 1*994 1.788 July ];v 3.614 3*615 2.929 1.770 2.805 0.409, 1*527 1.720 , 2.36a 2.270 Aug. , 2.349 1*525 3*307 0.830 0.696 1.080 . 0.687 3.025 2.583 1.223 Sept. .• 3*685 4-.I.54 1.606 1*359. 4.842 0.829. 2.822 ’ 3*119 1.202 3.. 1 14 U6t. 1*443 0.923 • 1-894 1.765 1.281 1.938. 0.926 1 4.040 1.224 7.818 Nov. : 1*541' . 0.233 3*525 2.398 1.048 1.776. 0.4C0 2.146 1.608, 2.613 Dec. 21.399 71.888 28.741 123*494 20.001 18.966 21.308 30 905 21.477 {28.566 Three dried feafons from one month to twelve. II 22 S3 <4 S5 6S T7 85 9) It ft Month Sept. 43 Jan. and Feb. 40 Dec. 42-Feh. 43 Jan. — April 40 Jan. — May 40 Feb. — July 41 Dec. 42~June43 061. 39“May 40 0£l. 3Q— June 40 Sept. 39-June 40 Aug. 42-June 43 Aug. 40-July 41 0,008 0.31O 0.9,34 1.814 2.85c 4.136 4.626 6.579 8.CO9 9.912 M-367; ^3-427Pept Mar. Dec. Jan. Feb. Jan. Dec. Jan. Jan, Mov. oa. Sept. 42 42 Jan. 43 — Mar. 40 May 4! — May 41 42—May 43 — July 41 — Aug. 41 36-July 37 40-July 37 40-July 41 59‘.-Aug, 60 0,055 0.569 0,942 I. 897 2.985 4.247 5.224 6.857 8.865 10.174 II. 794 Feb. 40 Feb and Mar. ' — Dec. 42- Dec. 42- Jan. to Dec. 39- Nov. 42- Sept. 59- Aug.42- Aug. 39- Mar. 4c May 41 -Mar, 4c -April 4': June 4C -June 4c -June 4' -May 6( 4.093! July 39-jui 0.060 0.69! 1.279 2.U7 3*379 4.280 5*930 7*cM'5 9.084 10.988 12.262 14.227 VoL. LXL Og Three [ 226 ] Three wetteft feafons, from one month to twelve, except 1763, 1768, and I770> which arc below. t \ 1 Month July 36 6.550 Aug. 37 6.300 2 Aug. Sept, 37 9-765 July -Aug. 57 9-059 3 Aug. Sept.Oa. 37 1 1.790 July Aug •. Sept.36 IC.590 4 July — oa. 36 12.940 April — July 51 12.578 5 April — Aug. 56 15-584 Mar. — July 51 14.624 6 April — Sept. 56 17.664 April — Sept. 51 16.772 7 April — oa. 56 19.(92 Mar. — Sept. 51 18.818 8 Mar. — oa. 51 20.637 Mar. — oa. 56 20.562 9 Jan. — Sept. 51 22.840 Jan. — Sept. 56 21.739 10 Dec, 50- -Sept. 5 1 24.667 Nov. 55- -Aug. 56 24.205 11 Nov. 50- -Sept. 5 1 26.791 Nov. 55- -Sept. 56 26.285 12 Nov. 50- -oa. 51 28.610 Sept. 55’ -Aug. 56 28.379 Aug. 57 July Aug. June July Aug. June — Sept. Aug. — Dec. 37-Jan. May — Nov. July ^7-Feb. July 5y-Mar. Nov. 47— Aug. Aug. 37-June Aug. 57“J“*y 36 56 5^ 37 38 bi 6.057 9.050 10.427 12.507 14.190 5'978 17.179 58|i9-i3i 58120.923 48 38 58 22.175 23-545 27.290 Wetnefs of the Seafons in 1 2 3 4 5 6 7 9 io 1 X 12 Month 1763 July July Aug. July — Sept. June — Sept. May — Sept. July — Dec. July 63-Jan.64 June — Jan. May — Jan. May — Feb. May — Mar. 5-657 8.586 1 1.893 14-319 16.623 18.918 22.902 25-328 27.632 28.766 29-595 Feb, 63-Jan.6432.125 June oa. Sept. Sept. June June June May April Feb. Jan. Jan, 1768 Nov. - Nov. - Dec. - oa. - Nov. - Dec. - Dec. - Dec. - Nov. - Nov. - Dec. 4.521 7-*S9 io*xh4 12.330 14.787 18.827 20.973 22.595 24.618 25.925 28.759 30-905 Nov. oa. oa. Sept. Aug. June June May April Mar. Feb. Jan. 1770 Nov. Dec. ■ Dec. • Dec. Nov. Dec. Dec. Dec. ■Dec. ■ Dec. Dec. 7.818 10.922 13-545 14.768 1 7.038 18.978 21.591 23-144 25.044 26.978 27.714 28.56^ XXVIII. Ohfer- C 227 ] XXVIII. A fecond Letter from Mr.'Q^ixlitr to the Prefdent^ 07t the fame SubjeB ; to- gether with the Determination of the Laii- titude of Stamford, in Lincolnfliire. S I R, Lyndon, June 4, 1771. Read June 13, 1771- I AM glad the letter I fent to you for the Royal Society, was thought worth their acceptance. I have, on the other fide, fent, as you defired, the height my rain meafurer ftands above the ground, which, if you think proper, may be added to my former letter. Mr. Edward Lawrence, who obferved the rain at Stamford part of the time which I have done here, generally found more water in his meafurer which flood on the ground, than I did in mine; but I cannot depend on his obfervations„ becaufe I have been told the fervants at the houfe ufed to play him tricks, and pour into his ciftern more water than fell in, to which a thing on the ground is very liable. Mr. Lawrence alfo obferved the latitude of Stam- ford with a quadrant of Mr. Sifibn’s making ; and as it is ufeful to preferve fuch things, I have extracted the obfervations from his book, and fhewn the lati- tude deduced from them. My rain ciftern has all along flood on the top of a wall, where another meets it at right angles. The top of the ciflern on the North fide, is y feet 3 inches ; G g 2 on [ 228 ] on the Southwefl: fide, 8 feet 6 Inches ; and on the Southeaft fide, lo feet above the ground; it is all open Southward for 25 yards; the North fide is an orchard, but no tree hangs over it. The latitude of Mr. Neal’s houfe, at the South end of St. Martin’s, adjoining to Stamford in Lin- colnfliire, as taken by Mr. Edward Lawrence, in 1 736. , ift. By the Sun’s meridian Altitude Incl. of Eclipt. 23® 28' 20". ^0 f /r May I. Alt. 5? 37 0 0 ’s Decl. N. 18 16 15 0 f /f June 18 Alt. 60 35 p Decl. N. 23 14 28 0 f tr Aug. 7 Alt. 50 19 50 Decl. N. 12 59 16 Alt. of the Equaf. 37 20 45 Equator 37 20 32 Equator 37 20 34 6 56 47 26 19 27 11 July 7 58 20 30 20 59 16 II 49 0 18 II 39 25 37 20 li 37 21 14 37 20 53 13 58 24 30 21 3 10 10 57 46 53 20 25 36 18 46 34 0 9 *3 7 37 21 20 37.21 17 37 20 53 21 60 28 21 23 8 36 15 56*44 0 19 22 45 Sept. 8 38 38 30 I 18 I 37 19 55 37.21 15 37 20 29 June I 60 33 32 23 12 24 17 56 16 26 18 55 16 9 38 16 0 0 54 34 37 21 8 37 2l 10 37 2I 26 2 60 37 2 23 15 49 20 55 33 0 18 11 50 • 37 21 13 37 21 10 grcatcft 37 21 26 mean 37 20 55 'eaft 37 19 55 9 60 49 C 23 28 12 26 53 58 0 16 36 56 37 20 48 37 21 4 2d, By the Meridian Altitude of the Pole ftar. May o f u C 229 3 O / // May 14, Alt. 50 33 o 0£3-. 2g, below 50 33 30 below the Pole 2 5 45 . above 54 44 30 Latitude 52 38 45 Latitude 52 39 o Mean Latitude by the Sun , 5^ 39 5 by three obfervations of the Pole ftar 52 38 55 Mean Latitude of the S. of St. Martin’s 52 39 o St. Mary’s, the middle of Stamford, is half a "1 mile further North,' fherdfore its Latitude is 2° I remain. Sir, With all proper relpe(5h, . i - i ■ > Your humble fervant, I > J • Tho. Barker., r • XXIX. Oh/eri [ 230 3 XXIX. Obfervations on fame Bivalve InfeSlsy fou7td in co7mnon Water] hy Mr, Muller, of the new Academy of Sciences in Bavaria, and the Oecono?nical . Society at Bern ; communicated by R. H. A. Bennet, Efq\ F,R,S. • """ ■ Read April i8,^ H E name, of Bivalve is given ^77«* oj^jy fQ thole, fliell-filli, whofe houfes are compofed of ‘two parts, fuch as mufcles and oyfters. Few of thefe are to be met with in frelh water, whereas a vad: number are inhabitants of the fea. I am acquainted with no more than four different fpecies, like the fea bivalve ; they are found in the waters of Fridrickfdal, near Copenhagen, and amongft them one has hitherto efcaped the re- fearches of conchiliogids. In return, nature has liberally ffocked the fame waters with fmall infedts, much more perfedt than the inhabitants of the fea-lhells, and likewife provided with a double Ihell. It is fufficiently known, that mufcles and oyfters are animals extremely fimple ; lince they want feveral of the mod perfedl organs, and confequently enjoy life in an incomplete manner. The want of eyes, arms, legs, &c. obliges them to lead an idle life, deprived of all the advantages, • which 6 [ 231 ] which arife from fight and motion. Nature, from which they received an habitation fufficient to protect them from external injuries, feems to have fixed for ^ life their abode to one dark fpot. Our bivalve infeds, on the contrary, by opening their two folding gates, enjoy both fight and motion, alternately dipping in . the mud, and darting though their element the water ; whenever they meet with bad company, they hide themfelves in their fhelis, and (hut up the valves, which force and diftrefs attempt in vain to force open. I have difcovered feveral different fpecies of thefe animals in the waters of Friderickfdal, one only of which is known to the naturalifts. Mr. "Baker, of the Royal Society of London, is the firft, that I know of, who mentions itj “ he fays^, that the infedl fwims very fail; that it procures its nourifh- ' ‘‘ ment by means of a whirlpool, which it raifes in “ the water by means of its armsj that, upon meet- ing with a folid body, it flops itfelf by means of its feet; that upon the flighted: touch it fhrinks into “ its fhell ; and laflly that it bears much refemblance “ to a bivalve fhell-filh.” To this defcription he joins a figure, which, though imperfefl •f*, reprefents the infedl. Linnaiis J, and Geoffroi || call it the Mofiocky and without taking notice that Mr. Baker knew it already, they obferve that its antenna are compofed of fmall white threads ; and that the fhell is oblong, fmooth, and greyifh, round on one fide, flat on the * Microfcope made cafy. o. - * t*v " + Tab. XV. f. viii. ' X Fauna Suecicay 1761; 2060. II Hiftoire des infedtes, tom. ii. p. 657. 4*. Other, C 232 ] olhef^ and nearly of the fame lize at each end. None of the above-mentloped writers have had the fatisfaflion of infpedting the inhabitant of the Ihell, which indeed is very difficult. Npw as this infedl: bears a flrong likenefs to the new fpecies, which I am about to defcribe, we ffiall take a view of both ' together. As I was walking in the month of November 1767 along the ffiore, out of the Weftern gate of Copen- hagen, I faw in a ditch of' freffi water, a conferva % which I carried home with me. I imihediately put^ a lump of it to dry upon the, flove j after which, upon Ipoking at it through a glafs, I difcovered here and there feveral fmall white points,^ very fmooth and ffiining.' Thefe I took up upon the point of a pin, and on a clofer vievy found them to be two valved ffiells hardly difcerjnible. The hinge, toge- ther with the opening and figure of them, juffified my opinion* I feparated the valves, and the rifing part of the hinge to the edge ffiewed them to be ffiells. I regretted that the infedf , a fight of which was abfolutely necelTary, to rank them among the teftaceous kind, h^d been defirpyed by' the heat of the flove. The frofi; came on, and prevented ray making any further enquiries* I ffiewed my fliells to three naturalills of known abilities, ,whp agreed in afiliring me that they were of the mulcle kind. I had ftill fome, doubt arifing from tjie recol- ledllon of the infedt above-mentioned •f*., which I had found formerly; and I put off the dccifion, till * Flora Fridrickfdalina, I016. t Fauna Fridrickfd. 851* I had [■ 233 3 I had feen the inhabitant alive. In the beginning of April 1768, ,as foon as the froft broke, I got fome more ot the co?7fervas^ which I djllblved in a glafs of water without diicovering the bivalve 3 nor had I any better fuccefs upon trying the effedl of the flove. During the fpring, I continued my fearch in the country, and found feveral fpecies of bivalve in- fedls, which led me to think the inhabitant of the fliell was like them. At laft, in autumn, after I had given up my hopes, I found it in the Park, at the bottom of a ditch full of Handing waters. The tranfparency of the fliell gave me an opportunity of examining the inhabitant ; and the examination cleared up the doubt I had about its fpecies. ' The new fliell is a bivalve; white, fmooth, fliln- ing, and tranfparent, without the lead: fpot, hair, or down. Its figure is oblong, rounded at both ends, and the hinge fomewhat finuated at the opening, and convex at the fides, in fuch a manner as, when feen out of water, it is very like the feeds of fome plants ; and this is common to all the fpecies of this genus. The fubftanceis coriacious, or like hardened glue ; thin, and very brittle when dryed. When feen by the microfcope, fome of them appear very like net work. The valves are equal, a little broader at one end than at the other, and fomewhat flatted at the dope ; they are not however more elevated at the opening thari at the hinge, but rather the con- trary ; for on the infide they diew another edge, lefs elevated than that of the outfide, and which grow'S lefs and lefs towards the hinge. I call by this name the place, where the valves join, though I have not been able to difcover either the membrane or teeth, VoL, LXI. PI h which [ 234 ] which feem to (hut. the' valves in common niells,- They are however flriclly joined to this place during the animal’s life; which makes one think there is a ligament at the tail of the inhabitant, by which he Ihuts himfelf in. The length of the fheil is half a line, and its greater breadth above a quarter of a line. That fpecies mentioned by the above writers is three times longer before it comes to its full growth. It is hairy, though fmooth to the naked eye, more indented at the dopes where- the valves are projedling, and more deprefied towards the hinge ; it is opaque, and of a changeable colour. Some of thefe infers are of a light and others of a dark green, marked with an oblique ftripe of a lighter than the reft.' Some of thele are bright, and others grey and dirty ; but the down with which the fliell is covered, and to which the dirt (ticks, is only vilible with the microfcope. I have examined feveral of thefe, at different ages, and at different times of the year, and have found them all rough ; whereas- every one of thofe of the new fpecies is fmooth. I fliall call this new fpecies the white fmooth bivalve,, to diftinguifh it from another, the fliell of which is white and rough ; and from tliat of the above mentioned authors, which I call i\\Q fo^’dif in allufioir. to the dirty flaell in which it is often found. I have already obferved how difficult it is to dif- cover the fliape of the inhabitants of thefe bivalves r however, the tranfparency of fmooth white one, gave me an opportunity of examining the lateral part of its inhabitant with the microfcope ; and a happy accident, by which I catched the Jbnlid one at reft upon the back of its own valves, en- abled [ 235 ] , abled me to examine its fore part througli a glafs>. I fufped; that it was fhedding its fkin, and for this reafon was quieter, and had its valves more open than ufually ; be that as it will, I fliall now defcribe the remarkable animal I obferved. The head is broad towards the bottom, but de- creafes gradually in bulk, and terminates in a taper- ing point ; it .has on each fide a fmall long white thread, in the form of antennce. The animal fecms to lower and raife the point at plealhre. The antennc^^ are about the length of the fliell, and reft on a tranfparent cylindrical balis, which ends in white long capillary filaments. They ap- ' pear to be ftuck on at the extremity of the head, but in fail: are tied to the fides, as I have often ob- ferved the animal to lower the point of its head to- wards its breaft, without the antejince following the motion. The fmooth white bivalve has five capil- lary threads at each a?itenna, four of which are at top, and the fifth fomewhat lower. The fordid ap* pears to have ten at each mite/ma ; in feveral, the antennce appear yellowida, and their bafis feems to confift of four rings. It is by means of thefe aJttennce^ which are real fins, that the animal changes its pofition, from one place to another, being able to move them feveral ways j when it has a mind to move faft, they are firft extended ftreightways, and appear like two brifties ; in an infiant the threads are unfolded, and the ani- mal fwims with great quicknefs. As for walking, it fometimes joins the threads, fomctimes unfolds only a finglc one, and fometimes fcattcrs them about all together 3 fometimes it bends them between the H h 2 valves. [ ] valves, which are opened towards the place of the eye; it often hides one or both of them under the breaft between the four legs ; thefe antennce feein to afford as great an amufement to the animal, as they do to the fpeclators. At the place where the head joins the body, to- wards the border of the hinge of the fliell, one may perceive a little black fpot, \vhich is the ani- mal’s eye. This extraordinary fituation of the organ of fight upon the neck feems ahoniflfing ; every thing that is new is fo, but the furprize arifes only from the narrownefs of our ideas. Many people would give very fpecious reafons for this polition ; others might fuppofe, that if the Creator had confulted us upon the matter, the eyes fliouldhave been placed in a quite contrary pofition, towards the extremity of the head. How childifli and weak would this be ! What God does, is undoubtedly mod perfedl ; and what he orders the bed pofiible : but what we term final caufes, are feldom any more than conjectures, though fometimes they happen unexpectedly to be true. Some aquatic infeCts have the eye in the fore- head, others at the bottom, on the fore or back part of the head, at the fide or under it ; nay there are fome, whofe head confids of the eye only. The plain reafon to be given of the different pofitions of the principal organs, is at the fame time the mod probable, or at lead the mod within our compafs. The Governor of the world is pleafed to give in- finite variety to his works, and only obferves the laws of uniformity in the generation of each didinCt fpecies, 6 The [ 237 ] . The bread jets out a good deal towards the open- ing of the (hell, and conftitutes the greater part of the animal’s body. The feet, mouth, and little bridles are placed upon it. There are four feet, whofe pofition refembles a good deal that of quadrupeds, only that their reciprocal bent is more marked. The two foremod are at the top of the bread, in the part where it appears mod doped. I took them a great while for feelers, be- caufe the animal employs them to touch things with; but another ufe it makes of them, together with the dif- coveryof fometrue bridles, makes mejudge them to be legs. They are white, tranfparent, and jointed, bent towards the back legs, and terminated by two points in the daape of claws. The joints have very thin hair on the inferior part. The two hind legs are tied to the lower part of the bread. They are longer than the fore legs. Each joint has a couple of Imall threads at the end, and each leg terminates in a claw fomewhat lengthened ; as to the red, they are like the fore legs, and bend towards them. The bivalve infeft makes ufe of its claws, not only to walk upon the conferva^ fome parts of which' are true labyrinths, and others foreds to him ; but likewife to remove the dirt, to feize its prey, and to faden itfelf to other animals of its kind, or to neighbouring bodies. Under the bread, and near the fore feet, is a black fpot, which is the infeed’s mouth ; it is covered with a fmall tranfparent Ikin, which opens in the middle, and fhews a couple of jaws, marked with a very black fpot at the place where they join. Be- tween thefejaws hang very fmall white beards like thofe t ^3S ] . tiiofe of the tipuh ; and above thefe again, there ap- pears a fmali black tranfveiTal line. About the mouth there are feveral other little beards, fomewhat in the fliape of feet, which are conftantly in motion. There is no doubt but that thefe ferve to procure a free paifage to the water, and to carry the food to the animal’s mouth j which eniployment we can by no means affigm to the hinder legs, as Pvlr. Baker, Y/ho did not fee the parts concealed between the valves of the fhell, has done. The belly is almoft as broad as the bread, but has fcarce above half its length. The breadth decreafes towards the tail. When feen from before, the belly appears compofed of two conical lobes, marked in the middle with a black circle. It moves alternately to, and retires from, the bread. The tail comes out between thefe two lobes ; it is of the fame length with the body, and confids of two dreight white and tranfparent canals, which are joined together till towards the end, where they fe- parate, and each terminates in two curved points. Towards the middle of the tail, there is a little hard bridle, upon cadi of the canals. The animal com- monly keeps this hid under his bread and belly j nor have I ever feen it extend it, unleis when upon the point of wanting the necelfiry water, when the animal brings it out, to put himfelf in an eaher dtu- ation j after which, it is immediately drawn in back again. Upon the back of the in fed, are like wife feen two large round bodies, which I take to be the ovaria. No body, after this defcription, will dilpute the fu- periority which our bivalve infed has over the bivalve IhelMidi, [ 239 1 fliell-fifli, by the wonderful conftrudlon of Its body, and the advantages which arife from it. But the differ- ence of make is not the only one, lince the fliell too is formed in a quite different manner. The feveral hypothefes of naturalifcs, on the for- mation of fhells, are known } fome will have them increafe by intuljujception^ and others by juxtapofition. This latter opinion, which M. de Reaumur patronized,, . and which nature feemed to juftify, became, in con- lequence, the moft general ; but if the friends of the other fyftem wcrethought to lofe their caufe,it was only for want of obferving with a fufficient degree of ac- curacy the operations of nature, whofe variety would have furnifhed them with inftances in their favour.- Our bivalve infedt offers one, which the defertion of the old fliell and the formation of a new one, in pro- portion as the animal grows, put beyond a doubt.^ The fadl itfelf appears, not only from the obfervatioa of empty fhells of different fizes, which are to be met with in waters, and are nothing more than the fpoils of our bivalve infedts; but, from the lingular good fortune I had, in feeing one of the animals drip itfelf, entirely, in my prefence, of the membrane of its fhell, and of the exterior parts of its body, and fliew itfelf at lad before me abfolutely renewed. The exiivice both of the died and the animal’s body were- tranfparent as the brighted c^’yftal. The joints of the anteniKt^ the bridles, the feet, the fmalled hairs, were more didinguidaable than in the animal itfelf.. How infinitely fmall are the organs, which, hid as it were in dieaths and cafes, only become vifible when they are magnified fome thoufands of times ! and •how many are there which efcape the bed microfeope! Ill [ 240 ] In the cleared: water that we drink, one can often fee with the naked eye fpoils of this infeCt, joined to thofe of its fliell, floating along, like fine white cotton. This adhefion proves that the body of the animal is joined to the fliell by fome ligaments, which poflibly too may keep the valves to the hinge, as I conjedlured above. I have not yet fucceeded in difcovering the organs of generation ; nor have I feen the infedts in the adt of copulation (which cannot be lefs extraordinary than that of the other fpecies of the ?no?iocult) : fo that I can fay nothing of their fex, 1 have obferved that they lay eggs, but this does not prevent their being likewife viviparous: I have feen other fpecies of monocuUy fome of which had their ovaria full of eggs, and others of little live bcafts, which at times' they hatched, and at others put down in the fliell. The fordid fpecies is the mofl: commonly met with j one finds it all the year, even in the. time of froft, from under which I have often drawn it. It is found in all pure waters, and even in the little ditches which are expofed to be overflowed by the fea. I have preferved it from May to November, full of life and motion, in a glafs of water, which I did not renew the whole time. The fmooih white iiifedl lives at the bottom of marflies, and pools, in which the conferva I have mentioned grow's. As the entomologifls have ranked the bivalve infedfs under the genus of the ?nonocidi^ I am naturally led -to fay fomething about this genus. Syflema- [ 24-1 ] Syflematical writers have confounded aquatic infedis, very different, both in fpecies and genus, under the general arbitrary name of MonGculus, They have not been contented with giving the lame denomi- nation to feveral fpecics, whole properties and attri- butes did not at all correfpond with the known dia- raders of the genus, but have likewife given as Ipc- cilic marks thole which nature tells us are generic. I liiall only mention at prefent the jlrdid, which farnilhes me with a fl:riking example. M., Geoffroy, as well as Linnaeus, has ranked it under the genus of the monoculi. According to the latter, the generic charader of this, is to have two eves and twelve- feet, hx of which are fixed • whereas the former gives it only one eye and fix feet. Befides the differ- eiice as to the number of eyes, my defeription proves that the number of feet does not agree with this account. Let me add, that the particular make of the antenna;^ the feet, the tail, and the whole body,, give this infeff a claim to form a genus of its own. As to the fpecific definition, Antennis 7nuhipliclhtis capillaceis^ tejia bivahi, and vehatever elfe is laid of it, if one excepts the colour only, belong equally to. all my fpecies with capillary antemue, and conftitu-te rather a defi.itition of the whole genus, tlian of a. particular fpecies. The fame miflake is to he met with in feveral other fpecies brought under this genus ; and the realbn- of it is that the authors, not havinc^ known more than four of all the different fpecies, which I have reckoned up in the following table, have generalized the cha- raders of thefe four, though they were not, well acquainted even with thefe. Vol.-LXL I i The. r 2 4 1 The Kvatcr pan'of^ which is the heft known, both on account of its colour, fometimes red, which makes the vulgar believe that the water is clian2:ed into blood, and from the works of S‘'ccffer Bakery Geoffro)\ and Swammerdam y is reprefented by the latter as herma- phrodite, though it be different in fex, and have the parts of generation double. The knowledge of thefe infedls has been almoft entirely negledled, though in reality very interefting ; not to fpeak of their wonderful make, the difference of their motion, and their fingular mode of copulation, are worthy of our enquiries. Let it be fudicient to fay, that we Iwallow them and their ftiiells, either living or dead, both in our viduals and drink ; fo that I ihould not be furprized, if fome time or other they were found in our inteftines, or in thofe of beafts, and feveral of our difeafes attributed to them. I propofe giving the defeription and hiftory of thde infedfs, with their figures drawn to the life, as feen by the microfeope: this I fliall do in a work which I am projefling. To render it more compleat, I beg the favour of all naturalifts to communicate their ob« fervations, which I ftiall not omit to give them the credit of, and at the fame time, if they ftiould find any other fpecies, to fend them to me. It is very eafy to tranfport thefe infeds, as they live very well in a fmall quantity of water for feveral weeks, without a necefiity of a change. With thefe hopes I have added a lift of the feveral fpecies, which I have met with in the waters of Friderikftall. It is after having examined and compared them, at different in- tervals, at all ages, and in all feafons of the year, that I venture to pronounce upon their fpecific differences. 1 ftiall C 2+3 ] I fhall take another opportunity of fixing the general ones. Gens Monogulorum, aquarurn Friderichfdalenjium^ a Conchacei., ^ Antennis capillaribus fuperis : capite abfcondlto. 1. Antennis binis ; tefta ovata, tomentofa. Fig. V, VI. 2. Antennis binis : tefia ovata fufGa, ciliata. 3. Antennis binis: tefta lubovata, candidiflima. 4. Antennis binis : tefta reniformi, pellucida. Fig. I, II, 111. 5.. Antennis binis : tefta fubreniformi, fufea : fafeiis- tribus albis., 6. Antennis binis : tefta elongata j fafeia viridi. 7. Antennis binis : tefta antice truncata : ftrigis nigris., 8.. Antennis binis : tefta globofa, glaberrima., 9. Antennis binis : tefta globofa,, fafeiis tribus nigris,. * * Antennis capillaribus inferis :. capite exferto.. 10. Antennis binis: cauda inflexa : tefta globofa.. j I. Antennis binis : cauda inflexa : tefta oblonea. O N.B.Duas tantum antennas omni ratione prolpicere licuit, etiamfi quatuor adefle vix dubitem. 12. Antennis quaternis : cauda truncata : tefta globofa. I i 2 13. An^ C 244 ] Antennis quaternls : cauda inflexa lamellata : tdu vcntricoia. 14. Antennis quaternis; cauda ereda : tefla clongata. 1 Antennis quaternis : cauda inflexa : tcfla antiee aculeata. 16. Antennis quaternis: cauda inflexa ferrulata : tefta ventricolb, mutica. 17. Antennis quaternis : cauda redda : tefta univalvi. N. B. Hi potius binoculi Sc ultimus quidem proprii generis. * * Antennis ramofis: capite manifefto. 18. Antennis dichotomis : cauda inflexa: tefta Tub- rhombea mutica. Pulex non caudatus Schseff. monog. t. i.f. 9. 19. Antennis dichotomis : cauda inflexa: tefta gibba quadrangulari. 20. Antennis dichotomis : cauda inflexa verrucofa : tefta poftice aculeata. Pulex caudatus Schteff. monog. t. i. f. i — 8. 21. Antennis dichotomis : cauda inflexa : tefta antiee ferrulata, poftice aculeo longo. 22. Antennis dichotomis : cauda inflexa ; tefta antiee ciliata : corniculis porredtis longis. 23. Antennis dichotomis : cauda inflexa: tefta antiee pilofa: corniculis pendulis. 24. Antennis dichotomis: cauda inflexa appendicu- lata: tefta poftice acuta. 25. Antennis dichotomis: cauda inflexa appendicu- lata : tefta antiee aculeata. 26. Antennis dichotomis : cauda deflexa: tefta mu- tica : corniculis porreSfis brevibus. 27. An- / ly^-. rm. [ 245 3 27* Antennis dlchotomis : cauda redta : tefta cvata mutica. 28. Antennis trichotomis : cauda reSa: tefla angulis anticis fetiferis. ^ b CataphracfU. ^ Antennis binis'. 29. Antennis binis fimplicibus : cauda redta bifurca, 30. Antennis binis fimplicibus : cauda curva bifurca, laciniis pendulis. 31. Antennis binis fimplicibus : cauda bifeta. 32. Antennis binis fimplicibus rigidis : cauda bifida. 33. Antennis binis dichotomis : cauda inflexa. * Antennis quaternis. 34. Antennis quaternis fimplicibus : cauda redla bifida. Baker microfcop. t. 15. f. i — 4. Hafni^£, 24 Nov. 1768. Otto Fridericus Muller. . Acad. Csef. N.C. Sciemiarum Boicae, ac Societ. Oecon. Bernenf. Explanation of the Bivalve Infedf, Tab. VIL Fig. I. The fmooth white infedl as it is naturally. Fig. 11. The fame, feen through the magnifier. Fig. 111. The fame magnified by the microfcope. The tranfparent fhell flievvs the inhabitant lying at its full length ; with the antenn^^y legs and tail, out of the valves. a The edges of the two valves. b The antennce, c The eye. ^The [ ?+6 ] d The head. e The ovaria. - f The fore legs, g The hind legs. b The tail. i The fore part of the bread:, where the beardi and mouth are placed. k The belly. Fig. IV. The fordid fliell of its natural fizc. Fig. V. The lame, as leen through the glals. Fig. VI. The fame, with the Ihell a little opened,, and more magnified. a The rough IhcIl. b The oblique ftripe. c The antcmia, d I’he fore legs. e The hind legs. / The mouth and joints. g The tail. Fig.. VII. The fame, with the ifiell (hut. XXX. A [ H7 3 XXX. A Letter to the Rev, M. Lort, B. D, F. R. S. contammg an Account of a fingu- lar Fijh,^ from the South Seas, by the Rev, Mr, Michael Tyfon. Reverend Sir, Read May 9> ^ | H E Rev. Mr. Farmer, Fellow of 1771- Jl^ Emanuel college, Cambridge, very obligingly lent me a curious fifh, preferved in fpirits, which was brought by his relation Commodore Byron, from the new-difcovered iflands in the South Sea. As I have the greatell; reafon to believe that it has never been figured or defcribed by any author, and indeed never before feen in Europe j I have taken the liberty to fend you the following defcription and drawing of it (Tab. VII. fig. viii.). Icould not count the branchioftegous rays, without greatly injuring the fpecimen j but there is no doubt of its being one of the Perea genus of Linnaaus, It is called by the Commodore the Zebra fifli, he not knowing its proper name. The drawing is exaftly meafured from the real fifla, and is in every part of the fame fize. Pifcis [ 248 ] Pifcls thoracicus. Perea * ^ ^ CAPUT obtufum, antice nudum. O3 afeen- dens, labiis carnofis marginatum, mandibula inferiore longiore. Dentes in maxilla utraque asquales, acerofi, approximati. Sutura maxillariim utrinque obliqua, dentata. Opercula branchiariim fpinis ferrato-ciliata. Nares unic^, rotundae, marginata?. Corpus ovatum, comprelTum, rquamofiim. Pinnae ball fquamolae, margine nigrae, ramentis ultra radios porredlis. Dorfales 2 fubunitae : prima, rotundata, radiis 10 fpinofis, lecunda angulata, radiis 16 mollibus. Pedlorales rolundatas radiis 14. Ven- trales radiis 6. Analis angulata radiis 14, anticis 2 fpinolis. Caudalis rotundata 18. Color grifeus. Fafciae 6 nigrae tranfverrae totum pifeem cingunt : prima per caput ducitur, pone oculos ; fecunda per operculorum njarginem ; tertia angulata, obliqua, inter pinnam primam dorli atque anum ; quarta redta ab unione pinnarum dorlalium ad fpatium pone anum ; quinta arcuata inter pinnam dorlalem fecundam ct pinnam analem j fexta redliui- cula in bafi pinnae caudalis. Diagnofis. o C 249 3 DIagnolis, Perea ^ Plnnis dorfalibus fubunius, cauda ro- tundatd, corpore ovato : fafeiis 6 tranfverlis nigris* I am. Reverend Sir, Your moft obedient humble fervant> Bennet Coll* Camb, March ii, 1771. Michael Tyfon. Vgl. LXh lik XXXI. An- C 250 ] XXXI. An Account of in Derby- fliire ; By J. Lloyd, Efq\ with fome Ohfer- vat ions upon it^ by Edward King, Efqv F. R. s: ; in a Letter to Matthew Maty,. M» Dn Sec,. R, S* To Edward King, Efqj, Dear Sir, Read Feb. 2 1 , 1 H E inclofed is ’(ome account of Jl Elden Hole, in Derbyfliire j withi the obfervations I made, upon being let down into» it, in June laft, at the time I was at Buxton-wells. If you think it any way curious, as a new account,, you will be pleated to communicate it to the Royali Society, I am, Dear Sir, Your much obliged humble fervant, J. Lloyd. Soughton in Flintfhlre, Auguft4, 1770, A De- C 251 ] A Defcription of Elden Hole, in Derbyshire. Having often heard, and feen, feveral account? of the unfadiomable depth of Elden Hole, in Der- byfhire, and being in that neighbourhood, I was inclined ta make what enquiries I could about that noted place, of the adjoining inhabitanrs j who in- formed me, that about fourteen or fifteen years ago, the owner of the paflure in which this chafm is fituated, having loft feveral cattle, had agreed with two men for to fill it up ; but they, finding no vifible effedls of their labour, after having fpent fome days in throwing down many loads of ftones, ventured to be let down into it, to fee if their undertaking was pradicable ; when upon finding at the bottom a pro- digious large cavern, they defifted from their work, as it would have been almoft impoflible to have pro- cured a fufHcient quantity of ftones to have filled it up. Upon enquiry of one of thefe men whether there were any damps at the bottom ; and being affured in the negative ; I procured two ropes of forty fa- thom nearly in length, and eight men to let me down. As the entrance is fo well known, I fhall fay no- thing further of it, than merely, that it lies near North and South in its direction lengthways j and that the opening from one of thofe points to the other, at K k 2 the [ 252 3 the lurfaccy Is about thirty yards, and eight or nine yards broad. For the firft twenty yards I was let down (which was at the South fide), I could alTift myfelf with my hands and feet, as it was a kind of confined dope j but after that, the rock jetted out into large irregular pieces, on all the three fides next me ; and on that ac- count I met with fome difficulty in pafiing, for about the fpace of ten yards more j at which depth the rope was moved at leaft five or fix yards from the perpen- dicular, Thence down, the breadth was about three yards, and the length at lead: five or fix, through craggy irregular flits in the rock, which was rather dirty, and covered with a kind of mofs, and pretty wet, until I came within about twelve or fourteen yards of the bottom, and then the rock opened on the Eaft fide, and I fwung, till I defeended to the floor of the cave, where I perceived there was light enough came from the mouth of the pit (though at the diflrance of fixty-two perpendicular yards) to read any print. When I was at the bottom, I perceived that the cavern confifted of two parts ; the firfi; (into which I defeended, at the place I began to fwing) being a cave, in fliape not much unlike to that of an , oven ; and the latter, a vafl: dome of the form of the infide of a glafs-houfe ; with a fmall arched pafiage from the one to the other, through which a Hope of loofe flones (that have been thro'Ovn in from time to ' timty extends from the wall at the Wefl; fide of the firft dome, to almofl: the bottom of the fecond cave,, or dome, with fuch an angle, that the further end ©f the cave is lower by twenty-five yards, than the- place where I firft landed. The C 253 ] The diameter of this cavern 1 fake to be nearly fifty yards : the top I could not trace with my eye j but had reafon to believe it extended to a prodigious height i for, when 1 was nearly at the top of one of the incrufted rocks, at the height of (I dare fay) twenty yards, I could find no clofure of the dome, though I then faw much further than when Iftood at the bottom. As to the particular curiofities to be met with in the fmall cavern, they are not worth mention- ing ; indeed I did not meet there with any fialac- titical incruftations whatfoever j but the wall confifted of rude and irregular fragments of rock. Amongft the fingularities in the fecond cavern, I. particularly obferved the following} climbing up a few loofe ftones on the South fide, at the place marked= Q^(in the plan fig. II.), I defeended again, through a fmall flit, into a little cave, four yards long, and ir- regular, as to height not exceeding tw’o yards}, and the whole lined with a kind of fparkling ftaladites, of a fine deep yellow colour, with fome fmall fl:alacti- tical drops hanging from the roof. Facing the firft entrance is a mofl: noble column, of the fame kind of incruftation (fee D. fig. II. and IV.) which I could perceive to be above thirty yards high : and proceeding on to the North, I came to a large ftone (marked E. fig.II. and IV.) covered with the like matter} and under it 1 found a hole two yards deep,, lined wdth the fame } from whence fprung a rock confifting of vaft folid round mafles, like the former ill colour, though not in figure, on which I eafily afeended to the height of twenty yards, and got fome fine pieces of ftaladites, pendent from the cragged fides which joined this rock. At the upper part I I perceived: r 25+ 3 •perceived a frtiial] hole, or cleft; but could not, without •being in danger of my liie, get at it; and^IJound .great difheuky in coming; down again. ' After this prt receding forward, 1 came- to another •pile of incruftatinns, different from the two former, and much rougher; and which was not tinged with fuch a yellow, but rather with a brown colour ; and at the top of this alio is a 'final 1 cavern, into which I went. The lafl thing I took notice of was the vafl; drops of ftaladlites, hanging like’icicles from every part of the vault; fome of which were as large as a man’s body, and at leald four or five feet long. I obferved the greatefl part of the walls of the large cavern was lined with incruftalions, and that they were of three kinds: the firft, being the deep yellow flaladfites ; the fecond, being a thin coating, like a kind of light ftone-coloured varnifh upon the furface of^ the limeffone, and which glittered exceedingly by the light of the candles ; and the third being a fort of rough cfHorefcence, every minute (hoot refembling a kind of rofe-fiower. Having fatisfied my curiofity with a view of this aftonifliip.g vault, I began to return (oblerving the whole floor to be covered with vafl quantities of loofe ffoncs); and reafeending that heap, which 1 firft mentioned, and fo returning through the arch which leparatcd the two vaults, I perceived, that though it is now only about three yards high, yet it mull for- merly (before the (lones were flung in), have been a ' very magnificent entrance. Once more^faflening the rope to my body, I gave the lignal to be drawn up, which I found to be a 4uuch more difHcult and dangerous tafle than my • delcent, 3 _ . C 255 1 defcent, owing to my weight drawing the rope into clefts, betwixt the fragments of the rock, which made it ftick; ^and to my body jarring againft the fides, wdiich I could not poffibly prevent w''ith my hands. Another circumfiiance alfo increahd the danger, W'hich was, the rope looiening the flones over my 'head, whofe fall I every inftant dreaded. As L was obliged to keep my face towards the hdc on which I was let down, I could not make any very particular obfervations on either of the rocks on each tide of me, nor any whatfoever on the oppolite one,, except at a few refling places, either in my defcent or afcent. For the fake of conveying a clearer idea of the defcription, I have added two or three drawings, and a plan 3 which are as exaft a refemblance of the place, as my recollection will enable me to give. And, before I conclude, I ought to mention, that under the projection of the rock at A (fig. I.) where the pafiage firfl grows narrow, and which may with difficulty be feen from the top, is the entrance of a cavern, that feems to go a great way ; but I could ‘not get into it, and therefore am not able to fay any thing further about it. P. S. Since wTiting the above, I have been inform- ed, that a gentleman, who lives near the fpot, affirms, there was formerly the mouth of a fecond ffiaft in the flpor of the great cavern, fomewliere under the great heap of flonesj and that it was covered up by the miners, at the time when fo many loads were thrown in from the top. It is reported to have gone dow’n a vaft depth further, and to have had water at [ 256 ] the bottom ; but I did not perceive any remaining appearance of fuch opening myfelf, nor did the miners, who went down with me, fay any thing about it. To Do(5lor Maty, Sec. R. 8« S I R, Bedford-Row, Sept, i, 1770* J Have taken the liberty to fend you, in confequence of Mr. Lloyd’s requeft, his curious and exad: ac>^ count of Elden Hole in Derbyfhire: and I hope it will not be thought improper, if I venture to add a few (hort obfervations upon it. Mr* Lloyd, in his poftfeript, mentions the report of there being a fecond (haft, at the bottom of the great heap of Rones t and when 1 was myfelf in Derby- fhire, about four years ago, and went to view the fpot, I had an opportunity of receiving fome in- formation, from the wife of one of the miners, who had been down j and fhe deferibed the cavei*n in a manner agreeable to fuch an account: for flie men- tioned a very ffeep diclf, or defeent, in the midway j at the bottom of which (Qae faid) her hufband went down again a great way further, till he came to fome water. I do therefore conclude, that there really is fuch a fecond (haft? which having been covered up with large [ 257 ] large flag ftones, or timber (probably by the miners) to facilitate, if poffible, the filling up ofElden Hole, ftill remains buried under the heap of ftones. ' And 1 do alfo fuppofe, that the great flopc of hones, which Mr. Lloyd . defcribes, is not entirely compofed of loofe ffones from time to time flung in ; but that under them is the original fhelf of foiid rock, much fteeper than the prefent flope, and fomething in the diredlion S D fig. V. with the mouth of the fecond fliaft near the end of it. And this fuppofition, together with Mr. Lloyd’s exaft defcription of the parts of the cavern which he faw, will perhaps reconcile all the accounts that have been given of this mofl aftonifli- ing chafm. For, ftones flung down, or let down by ropes, in a proper diredtion, would certainly Aide along the flielf of rock, and defcend into the fecond fhaft, before it was covered up; whereas others would rcfl; at the bottom of the firft flaaft, or in the great cave ; and hence the depths obferved by different perfons, ' at different times, mull have varied greatly from one another. And if it be further confidered, that, in founding fuch great depths, the weight of the rope may often be miffaken for the weight of the plummet ; and that hence the rope may continue defcending, and coiling up, firff at the bottom, and afterwards at other places where it is accidentally flopped, till it be at length hindered in its defcent by fome projedions of the rcyek nearer the mouth of the fliaft ; this will account rfor Mr. Cotton’s letting dowm 884 yards; whilfl the water at the bottom of the fecond fliaft will account for 8o yards being wet ; as fo many '' VoL. LXI. L 1 ' might [ 258 ] mi^bt coll up In the water (let it have been ever fb» fhallow), and as the reft, beyond the real depth of the chafm, might coil up either in the great or little, cave- Again, the many craggs on eacli fide the firft ftaaft, (and probably alio on each fide the fecond) muft retard any ftone in its fall j and by that means will account tor the length of time a body takes in de— fcending ; which muft be a great deal longer than if it fell in open fpace : and hence Dr. Short (who^ has given us a calculation, formed from the time of the defcent of heavy bodies, according to the New- tonian principles of gravitation)* was mifled to con-- elude, though very ingenioufly, that this chafm was. 422 yards deep. And laftlyj the falling of ftones into the water,, at; the bottom of the fecond fliaft, and the increafe of the found made thereby, partly from the reverbe- ration at the fidcs of the great cavern, and partly from the form of the upper fhaft (which is not very unlike that of a fpeaking trumpet, fee fig. I.) might cccalion that aftonifhing noife, which is faid to have been heard at various times formerly, on throwing ftones into this gulph j but which has not been heard of late years,, in a manner at all agreeable to old reports. And now, Sir, I cannot forbear to take notice, that as both Mr. Lloyd, and alio the miner’s wife, from whom I had my information, mentioned there being water at the bottom of the fecond llialt, it ap- pears highly probable, tliat this water is the conti- nuation of a fubterraneous river ; and indeed of that very river which runs out of the mouth of the great cavern. r 259 1 cavern at Caflleton i for it is obferved by the coun^ try-people in the neighbourhood, that there is a large quantity of grit ftone grows in the earth near Eideii Hole, but none near Caflleton ; and yet, on high floods, the river at Caflleton waflies great quantities of fragments of that very grit-flone, out of the mouth of Caflleton cavern. There is alio a tradition, which, however ridiculous it appears at firft fight, ought to have feme little weight ; efpecially if compared with what Keyder and Dr. Brown * relate of the Zirchnitzer Tea in Car- niola. The tradition is this, that many years ago, a poor old woman, hunting her gool'e, it tied from her, and at laft fell down into Elden Hole, to her great forrowj but fome days alter, (he heard it was feen at the mouth of Caflleton cavern, and adlually received it fafe again from thence: the goofe having, by the fluttering of its wings, preferved itielf from be- ing dafhed to pieces in its fall; and having found its paffage fafely through the lubterraneous river. I have added thefe few obfervations, for the fake of preferving the tradition cocerning the fecond fhaft, which otherwile perhaps would very foon be lofl; and alfo for the fake of fliewing how great a pro- bability there is of its being true : and to explain the matter more fully, I have ventured to add a fifth drawing, though merely from conjedlure. But before 1 conclude, I mufl beg leave to obferve, that the difpofition of the mafies ol flaladlites in this cavern, feems to me to ddeive Come attention. Of the three great piles of incruflaiions, two maniferiiy See Keyller’s Travels 8vo. Vol. IV. p. 140, and Lowthorp’s Abridgement of the Philofophical TranlacSlions, Vol. II. r. 306. L 1 2 defeend [ 26o ] defcend from two chafms (H and G fig. IV.) in the fides of the cavern y and therefore feem to have been formed by the water draining, and dripping at times, through thofe chafms, and carrying with it the fialac- titical matter: and it is remarkable that the pile (I, Fig. IV.) from the larger chafm, is coarfer, and rougher, and of a more earthy colour, than that from the fmaller chafm. But the third and largefi: column of fialadlites, fD, Fig. IV.) has no chafm in the rock at its top ; and is of a finer kind than the two others ; and confifts of perpendicular fpires ; whereas the others conlift of large mif-flaapen lumps. And it is niofl remarkable, that this fiands very near the end of the dope of fiones; and conlequently, that fome- where near it muft be the mouth of the fecond fliaft, if fuch really exifis. As therefore Dr. Browne, in his travels (p. 96, 4to.) mentions flaladlites formed on the irons in the cupola of the baths at Buda, by the exhalations from the baths ; and as fo many of the waters in Derbyflfire are warm, and mineral; I would beg leave to fubmit it to the con- lideration of the curious, whether this column, in parti- cular, and the thin coating of fialadlites, on all the walls of the great cavern, mentioned by Mr. Lloyd, were not moft probably formed by exhalations from the fecond fhaft ; whilfi the other two columns, and the ftaladfites pendent from thereof, were formed by water and flaladtitical matter tranfuding through the chafms above-mentioned, and through the pores of the ftone I am. Sir, With great refpe5 Month [ 275 ] Meteorological Obfervations, at Caen in Normandy. 1765- Months Days Barometer Inches Mean Ther. Mean Remarks July 4 7 Gieateft height Leaft ditto 30,28 29,70 29 99 Wind moft in the northern points ; beginning, cloudy Iky ; middle, fun with clouds; end, windy and fun with flying clouds ; 25th at yh. P.M. therm. 77°. >9 25 I Greatelt ditto Leaft ditto 72.0 32.0 67,0 • Auguft 18 22 Greateft ditto Leaft ditto 30,30 29,03 29,66 + Thefe obfervations are from the 10th to the 24th only. Wind vari- able ; the beginning Ihowery; 12th ftormy j end, funlhine and clouds. 23 12 Greateft ditto Leaft ditto 76.0 59.0 67,5 Novembei 21 25 Greateft ditto Leaft ditto 30.27 29,02 29,645 Wind variable : beginning rainy} middle foggy } end^ white froft in the I 23 24 Greateft ditto Leaft ditto 56.0 42.0 49,0 mornings* Decembe/ January 16 1 1 Greateft ditto Leaft ditto 30,34 29,12 29,73 wind chiefly in the Eaft pointt^ beginning frolly ; 5th hard froft 3 8th, 9th, loth, iith, rain; remain- der, almoft conftant froft. Wind chiefly E. S, E. from the flnning till the 20th, foggy and )udv till the toth : 9 1 ft, froft, 29th, ' 8 25 29 2 3 Greateft ditto Leaft ditto Greateft djtto Leaft ditto 30,72 30,03 1766. 30,375 51.0 37.0 44,0 be clc 31 1 1 Greateft ditto Leaft ditto 40,0 ■i7,o 33,5 30th, 72 inches : height of barome- ter carefully fet down. February 19 17 Greateft ditto Leaft ditto 30 61 29,52 30,065 45.0 30.0 37,5 In the beginning wind in the North' points 5 in the middle in the South j at the end to the Northern points ; froft till nth; wind and rainy till the end. ^5 8 Greateft ditto Leaft ditto N n 2 Mete- [ 27^ ] % Meteorological Obfervatlons at Caen in Normandy. 1766. Month Days Barometer Inches Mean Ther. Mean Remarks March 1 7 26 Greateft height Leaft ditto 30,29 28,84 29.565 wind variafle ; ift-, azd^rtormy; 26th hurricane; 23d, 24th, 25th, wind and fnow in the nights. The whole month moftly cloudy : from 25th to 26th, quickfilverfcli in baro- meter 0,67 inches. 13 I 3 Greateft ditto Leaft ditto 53.0 40.0 46,5 April 7 24 Greateft ditto Leaft ditto 30,40 29>35 29,875 Wind variable; mod part of the month rain and wind. 27 I Greateft ditto Leaft ditto 57.0 48.0 \ 52.5 July 4 9 . Greateft ditto Leaft ditto 30,08 29,69 29.885 66,75 Thcfe obfervations from the 2d to the 16th only. Wind variable; cloudy and rainy, 10 3 Greateft ditto Leaft ditto 70,5 63.0 Auoufl: 0 26 22 Greateft ditto Leaft ditto. 30^27 29,86 30.065 Win4 at beginning in the North points; middle variable ; end in the Soiitli points. Clouds and wind al- iiioft the whole month. 9 «7 Greateft ditto Leaft ditto 76.0 64.0 70,0 Septembei ‘7 7 Greateft ditto Leaft ditto 30.38 29,60 29.99 Wind till towards the end varying ; from the 25th S. S. E. Clouds and wind the whole month. 27 16 Greateft ditto Leaft ditto 72.0 60.0 66,0 0(Stober 2 8 Greateft ditto Leaft ditto 29,84 29,27 29.555 Wind modly E. S. E. the end of the mrnlh variable ; clouds and wind; 6th ftormy : thefc obftrvations from the I ft to the lothonly. 5 9 Greateft ditto Leaft ditto 70.0 62.0 66 Mete- [ 277 ] Meteorological Obfervatlons, at Caen in Normandy. 1767. Months Days Barometer Inches j Mean The. Mean 1 Remarks January 21 13 Greateft height Lead: ditto 30,10 29,05 29>575 Wind moftly S. S. E. this month frofty j fometimes /harp and high winds. 30 '3 Greateft ditto Leaft ditto 52,0 30>5 4i>25 February I 2 8 Greateft ditto Leaft ditto 3o>03 29,665 Wind moft in the South points. Rainy and windy from the 9th to the 15th. Thefe obfervations only down to the 15th. ^ 5 10 Greateft ditto Leaft ditto f' 54>o 50,0 52,0 May 24 30 16 4 Greateft ditto Leaft ditto 33»3o 29,42' 29,86 Wind varying the whole month, moftly rainy and windy. Greateft ditto Leaft ditto 62,0 58,5 June 10 3 Greateft ditto Leaft ditto 3°>i5 29>39 29 77 Wind varying. 3d ftormy ; the whole month windy and rainy. 29 3 Greateft ditto Leaft ditto 65^5 55>o 60,25 July 18 21 Greateft ditto Leaft ditto 30,02 29,63 29 825 Wind varying, iift ftormy; from the nth to the 30th cloudy and rainy. Few flies yet in the appartments, and thofe cannot fly. 16 12 Greateft ditto Leaft ditto 67,0 63>o 65,0 Septembei 13 4 Greateft ditto Leaft ditto 30,16 29,62 29,89 Thcfe obfervatlons only from the ifttothe 15th ; wind varying 3 wea- ther changeable. 4 15 Greateft ditto Leaft ditto 72.0 64.0 J 68,0 Mete- V [ 278 ] Meteorological Obfervations at Caen in Normandy, 1767 Months Days Barometer Inches ■ Mean Thet. Mean Remarks • October 8 Greateft height^3o,i6 Leaft ditto 29,68 29 92 Thefe obfervations from the 7th to the aoth only. Wind moft in the North points, chiefly cloudy, fome rain. 8 14 Greateft ditto Leaft ditto 62.0 53.0 57,5 November 28 15 Greateft ditto '30,37 Leaft ditto 29,21 29-79 Thefe obfervations from 14th to 29th only. Wind chiefly in the S. points; 1 8th, 21 ft, zad, fun-fhine and fmall froft. 16th the leaves ftill green on the trees. 27 23 Greateft ditto Leaft ditto ;54,o '47,0 50,5 Decembei f January 3' 20 Greateft ditto 30,44 Leaft ditto 29,19 29,815 23d began to freeze very hard with N. N.E. wind. See an account of this froft lower down, ift, moft trees have leaves, but yellow and begin to fall. 1 3th, the ti CCS ftripped of their leaves. Wind' mofliy in the F.aft pofnts. ift, much fnow : high wind ; hard froft to the 8ih ; 8th, thaws. The reft of the month rainy and windy. 8 '7 5 8 Greateft ditto Leaft ditto Greateft ditto Leaft ditto 30,00 29,10 1768 29,55 '54,0 ,33;0 43,5 30 6 7 Greateft ditto Leaft ditto Cio 37,25 February 6 lO G.cateft ditto Leaft ditto 30,37 29,56 29,965 In the beginning wind in the N, points; at the end in tlie S. This month molily windy, cloudy and rainy. 14 16 4 5 Greateft ditto Leaft ditto 57.0 43.0 50,5 \ [ 279 ] Meteorological Obfervatlons at Caen in Normandy. 1768 Months Days Barometer Inches Mean The. Mean Remarks March 4 11 15 Greateft heighi Leaft ditto 30 39 29 02 29 705 Wind chiefly E, towards the N. greateit pai t of this month frofty. I II 12 Greateft ditto Leaft ditto 57.0 44.0 50,5 Apr il 1 1 29 Greateft ditto Leaft ditto 30,16 29^43 29,795 Wind changing; 6th, ftorm of thunder, lightening, and hail, at 5 h, P.M. lightning fell on the church, called Abbaie aux Dames, ran over the choir with quick ferpentine motion, and then diiappeared without any fur- ther mil'cliicf ; 29th, rain and thunder at I rh. 2 A. M. 17 I Greateft ditto Leaft ditto 61,0 5LO 56,0 May 23 29 Greateft ditto Leaft ditto / 3°’G 29’35 29,76 Wind chiefly in the N. points. This month was windy, and the fun Ihone with white broken. clouds. 5th, at 10 h. P.M. ftorm of tliunder, lightning and rain. 23 2 19 Greateft ditto Leaft ditto 70.0 56.0 63.0 June 21 26 Greateft ditto Leaft ditto 30,15 29)55 29-855 Wind chiefly in the Wefterly points. 7th, at 4h. P.M. ftorm of hail thunder and lightning ; from gth to 22d, windy and rainy ; 24tn, ftormy, with rain thunder and lightning. k 24 20 Greateft ditto Leaft ditto 69,0 62,5 65,8- July 21 7 Greateft ditto Leaft ditto 30.14 29.55 29,845 Wind chiefly in the V''cftcrly points. This month cloudy and windy, with feme rain. I 20 Greateft ditto Leaft ditto 73.0 65 0 69.0 Auguft 9 4 Greateft ditto Leaft ditto 30,13 29^96 30,015 Thefc ohfervations from the 3d to the 13th only. Wind moft in the Wefiern points; Iky partly cloudy, partly clear. 12 9 Greateft ditto Leaft ditco' 70,0 66, c 68,0 Mete- [r 280 J Meteorological Obfervations at Caen In Normandy, 1768. Months Days Barometer Inches Mean The. Mean . Remarks September 14 12 Greateft height Leaft ditto 30.03 29>45 29 74 i Thefe obfen'ations from the 7th to the 15th onlj. Wind unfettled. 12th, fome thunder in the mon.ing j the other days wind, clouds or rain. H 8 Greateft ditto Leaft ditto 65,0 60,5 62,7 + October ' - Oflober 30th, betwixt 12 h, 'and 13 h. at Harcourt, about 5 leagues S, W. of Caen, feveral gentlemen faw a ball of fire of a whitiih colour, apparently of about a foot diameter, which cart a great light in the room, though the curtains were drawn, and there was a great fire and feveral wax lights in it : its diredlion from N. to S. It fell with great velocity, and feemingly about 30 or 40 yards from the room, without any explofion. I had juft left the apartment, but was immediately informed of it ; about 3 hours after, there was a violent hurricane of wind, hail and rain. November 19 23 Greateft ditto Leaft ditto ^0,22 28,60 29,41 Barometer at noon the 21ft 29,43 ditto — — 22d 28,46 fell in 24 hours 0,97 2zd, continued rain j at lo^P. M. fmart fla/hes of lightning with thun- der. Wind varying this month and the weather cloudy, rainy and windy j 15th leaves begin to fall. '5 30 23 Greateft ditto Leaft ditto 0^ 0^ 1 4- 4- 1 _ 4'_i 49,0 December 12 2 Greateft ditto Leeft ditto 30,40 29,14 1 29,77 i 1 Wind chiefly in the Southern points, ad ftorm of wind and rain ; 14th hard froft. The weather this moniii unfettkd. I ^5 Greateft ditto Leaft ditto |S2,0 3^,0 42,0 3 MctC' [ 28i J Meteorological Obfervations, at Caen in Normandy* 1769. Months Days Barometer Tnchc« Mean The. Mean Remarks fanuary H I Greateft heigh Leaft ditto 30,16 29^49 29,825 Wind chiefly in the Southern points. ‘3 22 24 Greateft ditto Leaft ditto 50,0 39’5 44r7 + cloudy, wind and rainy 24th white froft j 22d white froft : the weather this month unfettled. 'ebruary 20 S Greateft ditto Leaft ditto 30,19 29, ah 29,725 Wind moftly in the Eaflern points. 4th at 11 h. P. M. hurricane, morn- ing generally white froft. From the rad to the end of the month, rainy, cloudy, and high wind. 28 I Greateft ditto Leaft ditto 53^0 39^0 46,0 Id arch 3 1 1 Greateft ditto Leaft ditto 30,47 29,20 29,835 Wind in the Northern and Weft points. All this month clouds and wind j little rain. 4 10 31 Greateft ditto Leaft ditto 55>o 46,0 50,5 jpril 0 24 8 Greateft ditto Leaft ditto 30^13 29,0b 29,605 Wind at beginning in the North points j at the middle in the South points j at the end in the North points y 22d, white froft in the morning y the reft of the month chiefly rainy and windy. 28 2-3*4-5-6 Greateft ditto Leaft ditto 62,5 46,0 54>2 + lay — 2 14 Greateft ditto Leaft ditto 30>39 29,50 29 945 Wind varying y 18th, at 3 h. P.M. thundery 20th at 4b. P. M. ram with thunder and lightning y 23d, at llh. P. M. thunder and lightning y 23d, at3h.i P. M. ther.yyOy 27th, at 4h. P. M. a very heavy rain. This month moftly windy and rainy'. 23 13 Greateft ditto Leaft . ditto 73.0 54.0 4 63,5 4oe 1 1 ^5 Greateft ditto Leaft ditto 30,19 29,65 29,92 Thefe obfervations from 2d to the 19th only; wind chiefly in the W. lOints. This, month cloudy, windy ind rainy. * * 9.10.13 ( '5 Greateft ditto Leaft ditto 65,0 6r,o 53,0 O o ’VoL. LXI. Mete- C 282 ] \ Meteorological Obfervations at Caen in Normandy. ' 1769. Month Days Barometer [nchef Mean Ther. Mean Remarks < July 10 8 Greateft height Leaft ditto 30,16 29,04 29,60 Thefe obfervations from 6th to l6th only ; wind variable ; firlt days clouds 5 the laft days clear fun. 7 10 Greateft ditto Leaft ditto 76.0 69.0 72,5 Auouft 0 i8 22 Greateft ditto Leaft ditto 30,12 29,50 29,81 Thefe obfervations from the 74th to the 23d only. Wind chiefly in th« Well points j chnids and wind. ^5 21 Greateft ditto Leaft ditto 70.0 63-5 66,7 + September 16 12 Greateft ditto Leaft ditto 30.17 29,4c Shifting winds; gth, at 3b. 1'. M.a very heavy lliower ot hail from the W. the hailftones about the fize of a mid- dling walnut, of difftreht irregular lhapes ; the larged of fome, brought to me after the llorm, diminifhed in. volume, and weighed dill z penny- weights and z grains ; the ftOrm laded about 4 or 5 mimites. 6 19 26 Greateft ditto Leaft ditto 71.0 60.0 65.5 October 10 22 Greateft ditto Leaft ditto 30.30 29,66 29,98 Wind variable ; weather unfettled 3 often changing. 19 20 7 Greateft ditto Leaft ditto 63,0 48,6 55.8 November 28 22 23 Greateft ditto Leaft ditto 30.52 29.55 30.03s Thefe obfervations from 18th to 30th only; wind ihifting; igthjioth,. liard frod ; the red of the month, modly wind with fome rain. 27 20 Greateft ditto Leaft ditto 55.0 40.0 47.5 December 4 ^3 Greateft ditto Leaft ditto 30.38 28,69 2959 Thefe obfervations from the 3d to 74th only : the wind aimed always in the South points ; wind and rain ; ; 3dj fqnalls at 8I1. P. M. the baro- meter being at 28,69 bichcj. ^3 8 Greateft ditto Leaft ditto 55.0 43P 49.0 MctC' I C 283. ] Meteorological Obfervations at Caen in Normandy. Inches ^765 Mean height of Barometer Inches Mean height of Barometer. 29,650 January 29>S50 January 1768 29,505 February 2Q 965 February 29,495 March 29,705 March 29,975 April 29 795 April 29,900 May . 29,760 May 30,000 June 29,835 June 29,990 j >^ly 29,845 July 2^5 60 ~i“ Auguft 30>oi5 Auguft 29,645 September 29,740 September N ovemLer 29,410, November 29,730 December 29,770. December 29^655 mean of thefe means 29,828-j- mean of thefe means 3°>375 January 1766 2,9,825 January 1769 30 065 February 29,725 h ebruary March 29>835 March 29,875 April 29,605 April 29,885 July 29 9rS May 30,065 Auguft 29,920 June 29,990 September 29,600 July 29^555 Odiober 29,8 1 0 /Auguft 29,992 — mean of thefe means 29>7^5 29,98 September October 29>575 January 1767 30,035- 29,590 November December 29,665 February 29,860 May 29,805 nacan of thefe means 29,770 June — ... 29,825 July Mean height In the years 29,890 September 29,920 Odtober 29,665 29,790 November 29,922 j 766 29 8j5 December 29,790 1767 29,790 mean of thefe means 29,828 + 29,805 1 768 1769 I ! 29,802 1 mean of thefe means Remarks Thefe obfervations were made at noon, in a South- Weft room, with a barometer, whofe tube is about tV of an inch diameter j in which the motion of the quick- filver, in fqualls and gufts of wind, is extremely perceptible ; yet, for further fatisfadfion, I ordered an- other to be made in London, with the greateft care, by Heath and Wing,, with, a nonius giving the Tw part of an inch. I placed, this barometer by the other, in July 1769; and having compared them every day for a year, I find that the ancient one marks -f|-o of an inch more than the other; there- fore, if from the mean height as above — 29,802 be deduced' — 0,050 the true mean height is 29,752 The greateft height obferved, at noon, was, J'an.aq, 1766,. 30,72-- The leaft, Dec. 23, 1769, at 8 h. P. M. Limits of the motion of quick filvtr 2,03 Yol, LXl O o 2 Hencft- [ 204 '] Hence it appears, that if the mean height of barometers, on a level with the furface of the Tea, be fuppofed, with Dr. Scheuchzer, Piiil. 'I'ranf. N“ 405, 406, 29,993 inches and the mean height at Caen, — ; — 29,752 ditto 0,241 the difF. will be the greater mean weight of the atmofphere at the furface of the fea, then at Caen : and if; with the Do£ior, we allow', for each tenth of an inch depreffion of the quickfilver, 90 feet ele- vation, my room, which is in the highett part of the town, will be about 2 1 7 feet above the level of the fea. Monfieur de Luc, of Geneva, has given a method to meafure the different elevation of places by barometers, grounded on his own obfervations, far more cxa6t than any other before him ; his rule is, “ the difference of the logarithms of the height of “ the quicldilver, in the two places, reduced into French lines, “ and the logarithms carried to five places, including the charac- “ terifficks, will give the dift'erence of elevation in toifes, if “ Fah renheit’s thern.ometer be nearly at 66®; but about -r‘g muft “ be deducted from the elevation fo given, if the tnermometcr “ be at 53° or temperate.” 29,993 Lnglifh inch.= 337,824 French lines log. 25286,8 29,752 ditto =335,1 10 ditto log. 25251,9 difF. 3+59 toifes or 209 4 French feet = 223 Englifli feet nearly ; from which if = 12 I nearly be deducted, 210 \ feet remain for the differ- ence of elevation of my room and the furface of the fea, which differs 6 | feet from the refult given by the firft hypothefis. The grcatefl: height obferved, in thefe five years, with a good Fahrenheit’s thermometer fereened from the fun, in a S. W. room, was as follows at noon : I 765 Auguft 23d 1 1766 Auguft 9th r* 76° 1765 June ythJ the leaft height of ditto Jan. 6th 1768 — — 14 1765 Auguft 23, expofed the thermometer, at noon, to the fun, fufpended on a thread between two flicks, in the middle of my garden at Caen, which may be about two Englilh' acres, fo that the thermometer received the leaft reflected heat poftible in that place; the quickfilver ftood as follows. at C 28s ] at 1'' P, M. 97* at 2 ditto 96 1765 Auguft 26, at a village, called les Iks Bardelks^ 7 leagues from Caen, the fame thermometer, in a South room, from which the fun was excluded by the window (hutters, rofe to 90°. An Account of a remarkable degree of cold obferved at Caen in Norrnandy. 1767 Ther. Hours Barometer December 24 0 + 12 16 h ' at 8 0 at 9 0 Inch. 30,02 30,02- + 18 at 1 1 0 25 + 15 at 12 44 + 18 at 21 45 f little wind at E. S. E. fmall at 22 00 29,9 1. fog. cloudy. + 15 at 10 00 26 + II at 19 CO + 12 at 21 00 at 22 00' 29,67 wind N. E. + 17 at 7 00 ♦ + ibf at 8 00 . + 12 at 10 00 - 2/ + II at 11 00 + 10 at 18 00 + 10 at 20 00 at 22 00 29,49 no wind. + 15 at 8 20 + 14 at II 00 2. 0 + 13 at 19 00 r little wind $. S. E. flying + 10 at 22 00 29,4:61 clouds. + 23 at 7 00 4- 20 at 10 00 30 + 1 1 at 19 00 + 14 at 21 00 at 22 CO 29,84 little wind S. flying clouds An I [ 286 ] An Account of a remarkable degree of cold,obfvrvcd at Caen in Normandy. 1768 Thcr. Hou rs Barometer, January 0 h 9 3 + to at 1 1 00 + 9 at 20 00 + 1 1 at 5 00 * + 10 at 6 00 * ; + 8 at 8 00 4 + 6 at 9 15 0 at 12 — 8 at ^9 30 0 at 21 0 30^03 clear fkv, no wind. at 19 0 30,00 wind W. by S. — ■^2 at 5 3^ 2 at 6 30 • 2 at 8 00 + I at 9 ' 0 at 9 30 — - 3 at 10 00 5 0 at 10 35 0 at 1 1 CO 3 at 19 30 + b at 20 00 + 7 at 21 00 + 8 at 21 30 + 10 at 22 IS A + 14 at noon 6 + 12 at 7 15 + 14 at 8 + 13 at 10 00 N. B. The rign + fignifies, that the degrees marked by thequick- filver were above o, or the beginning of thedivifron. The negative fign — fignifies, that the degrees were below o, or the beginning of the divifions. The thermometer was expofed in the open air to the North. 7'he hours are aftronomical hours. Experi- y C 287- ] / Experim'ents on fome Liquids, 1768 H. M. Jan. 3 II 30 [ placed a wine glafs half full of rack, another half full of rum, in a North window, to the open air : the next day, at the fame hour, the rack was frozen to a thick jelly, with icey particles ; the rum alfo to a j«Uy, but lefs thick. 4 50 [ expofed, as above, a wine glafs, half full of cyder: ditto of beer. Ditto of red wine, called Beaujenci. 5 13 The cyder began to freeze. 6 30 Ditto confolidated. 4 S' S The beer began to freeze. 6 30 Ditto confolidated. 5 i2 The wine began to freeze. 6 30 Ditto nearly confolidated. The icey furface of the cyder being broken, rt froze over again, in three or four feconds, the ice forming, with a progreffive motion, very perceptible to the eye. 5 9 00 I expofed, as above, a wine glafs half full of Malaga wine. Half ditto of Burgundy, called Migraine. Half ditto of Roullillon wine. Half ditto of fpring water. Half ditto of cyder-brandy. 9 15 The water began to freeze. 9 30 Ditto confolidated. 9 30 The Malaga,Migraine,RoufliIlon, began to freeze. 1 1 00 Ditto ditto ditto confolidated. ' N. B, N.B [ 288 ] . The brandy did not freeze; but the 6th at noon, the quantity was diminifhed, and fome icey particles ftuck to the glafs, above the furface of what remained. I found, by weighing the above liquids hydroflatically, in a temperate ftate of heat, that the migraine, cyder, beaujcnci, b*er, and the water, were very nearly of the ' fame fpecific gravity ; and that a piece of gold, which weighed in the water - - 224,25 grains, weighed in the Malaga • - 224,00 ditto, in the Rouffillon - , - - 224,50 ditto, in the brandy - - - 225,00 ditto. XXXIII. Kyc^anthes [ 2§9 ] XXXIII. Nydanthes elongata, nova Planta Londinenfi r ever enter offer t Petrus Jonas Bergius, M. D. Suecus, R, Soc, Lond. aliarumque Sodet, Membr, Read May 9, X S I Botanicls plantarum in India fly 'orientali nafcentium multa dudum meffis fait, tamen non dubitandum arbitror, quin adhuc fatis amplus variis locus detur fpicilegiis. Lo- quor jam potiffimum de oris oceano vicinis, quae plan- tarum curiolis identidem patuerunt ; non de regioni- bus iftius terrae ab oceano remotioribus, utpote quae, a nullo botanico in hunc ufque diem calcatae, adeo non novarum minufve cognitarum plantarum offerrent fpicilegia, fi cuiquam oculatiori contingeret eas adire, ut potius integram atque abundantem earundem fine dubio praeberent meffem. Ut autem harum regionum gaza herbaria admodum foret exoptanda fummoque nifu defideranda, ita nec illarum exilior forte jam re- fidua fupellex ullatenus eft contemnenda, quin potius attentis, quoad liceat, oculis confideranda ab uno- quoque, qui contemplatione nature, uti par eft, de- ledlatur. Ego proinde cupide ac libenter excepi oblatas mihi aliquoties ab amicis, ex itinere Chinenli reverfis, baud paucas ftirpes, in diverfis oceani Indici infulis ' VoL. LXI. pp deprehenfasj [ 290 ] deprehenfas ; quas ubi ftudiofius contemplor, video- euq nonnullas raritate pra^ftantilTmias, atque idcirco novas, quod Botanicorum antea innotucrunt neinini, congruens meis piito ftiidiis eas omnes impenfe ex- aminare apteque defcribere 6c delineare. Casteruin ne haecce res jufto diutius duel per alias meas occu- pationes videatur, occafionein fedabor quam potero primam delicias hafee cum orbe erudito communi- candi. Patiatur itaque Illuftriffima Socletas Regia Londi- nenfis, quod ad ada ipfius nunc illico tranfmittam exadiffimam iconem idoneamque deferiptionem novas cujurdani plantae Indicas, quam ad Nydantis genus amandare debui, etiamli illius habitus fatis abludit a cundis dudum cognitis Nydanthis fpeciebus. Una quidem harum, nempe Nydanthes multiflora, a Cl. N. L. Burmamio, Flor. hid. tab. III. fig. i. delineata, quodammodo cum mea convenit iplo florum fitu ; led tamen valde ab ea diferepat, non folum florum magnitudine, fed etiam foliorum figura 6c reliquo habitu, unde quoque diveiTitas fatis elucet fpecierum. Icon adjunda (Tab. XI.) ramulum refert natural! magnitudine expidum j 6c veto ramulum ipfum ac- cepi ab amico C. G. Kkcberg, ex itinere in Chiiiam domum non ita pridem feliciter redeunte. Nyctanthes (elongataj foliis cordato-lanceolatis acutis elongatis minoribulque, ramis teretibus. Descr. Caulh fruticofus. Rami lubprocumbentes, oppoflti, teretes, inferiores glabri, fuperiores villoli, jamofl: ramulis oppofltis. Folia oppofita, cordato- lanccolata, fubbipollicaria, acuminata, integerrima, utrinque glabra, nervofa, margine paululum undu- lata, faturate viridiaj inferiora ramulorum lenfim minora. Trarts.Tiff. LXT. Tab .’Sly;. Sijc. I I I [ 291 ] minora, Infima vero cordato-ovata, parva. Flores In ramulis termlnales, 5 vel 6 congefti, fubumbellati, breviter pedicellatl. Calycis perianthium mono- phyllum, tubulatum, minimum, pcrfiftens, fex vel feptemfidum : lacinils fubulatls, pilofis. Corolla monopetala ; F ubus cylindricus, ftriatus, longus, pol- licaris, fuperne incraflatusj Limbus odto vel novempartitus : lacinils ovato-oblongis, acutls. Sta- mina, Filamenta bina, brevia ; Anther ce lineares, obtufae, utrinque fulcatas, intra tubum corollas occul- tatas. PisTLLUM. Germen fubrotundum, truncatum, retufum, glabrum. Stylus filiformis longitudine fta- minum. Stigma incraflatum, bifidum. P p 2 XXXIV. Account [ 292 ] XXXIV, Account of a Mole from North America : In a Letter to Dr, Maty, Sec. R, S. from th^ Hon. Daines Barrington, F. R. S. Dear Sir, Read May Send herewith a 1771. I May 15, T771 mole from North America, which Mr. Kuckahn (who hath before prefented feveral birds and infedls to the Society) delires they will do him the honour to place in their Mufeum. This fpecies of mole much refembles that of Europe in its general appearance, except in point of colour : to fhew, however, that there is a very ma- terial and fpecific difference between the two animals, I have inclofed the head of the common EngUfli mole, which contains all the teeth belonging to each jaw. The American fpecimen is not indeed fo perfedt in this refpedt ; but a fufficient number of teeth re- mains, to Ihew the diftindion between thefe two forts of moles. In the European, you will obferve hx cutting teeth in the upper jaw, which are followed by two canine ones. 5 C 293 ] In the American (on the other hand) there are two very long and large cutting teeth* in the cen- tre, calculated to fill the vacancy in the lower jaw, which contains only two fiiort cutting teeth, fol* lowed immediately by two long canine ones. In the lower jaw of the European mole, however, there are eight fmall cutting, without the interven- tion of any canine teeth. I am. Dear Sir, Your moft faithful' humble fervant. Daines Barrington* XXXV. Letter [ 294 ] XXXV. Letter from the Hon. Daines Bar- rington, F. R. S, to William Heberden, M, D. F. R. S, giving an Account of fome Experiments made in North W ales, to af ce7‘tam the different Quantities of Rain^ which fell m the fame Thne^ at different Heights. S I R, December 24, 1770. Rcrul June 6, /\ S I happened to be at the meeting 177 •• /~\ of the Royal Society, when your experiments were read, relative to the different quantities of rain, which fell within receivers of the fame dimenfions at different heights from the ground ; it occurred to me, that the fame trials might be made at more difproportionate heights, though at the fame diflance from the furface of the earth. I accordingly directed two rain-gages of exactly the fame dimenfions to be made by your inftrument- maker, which you was fo obliging as to take the trouble of examining. As I propofed to keep them at the top and bottom of a Welch mountain, and am not ftationary a fuf- ficient time in the Principality to attend to a long courfe of fuch obfervations j 1 fent the rain -gages to Mr. C 29s ] Mr. Meredith Hughes, of Bala, in Merlonethfhire, who is a very ingenious land-furveyor, and, from his philofophical turn, would be pleafed with executing the commitfion, though a very troublefome one. I directed him to place one of the rain-gages at the top of Rennig, which is about four miles Wed; of Bala, and is commonly confidered as the fifth mountain of North Wales, in point of height^. I direded the other rain-gage to be fixed near a houfe, called Bochyrhaidr, at about half a mile’s diftance from Rennig; and fo as that the rain might not be impeded, when the wind blew over the moun- taiin towards the point where the lower rain-gage was placed. Proper precautions were alfo taken, that neither cattle, nor any other accident, fhould in- terfere with the experiment. Being defirous to know with fome degree of pre- cifion the height of this mountain, I direded Mr. Hughes to alcertain it in the common method, by examining the fall of the mercury in the barometer, at the top, when compared with its date at the bottom. Having made this experiment, he informed me, that the difference was one inch and fixten ths, which ac- cording to Dr. Halley’s method of computation, w^culd give about 4 50 yards in height, from the adjacent plain. By the following table it will appear, that the quantities of rain, which had fallen in the two rain- * I rather fuppofe it, however, to be only the fixth, and fliould range them thus, according to their comparative heights : Car- nedd Llevveiin, Snowdon, Caderldrys, Arran JV*owddy, Glider, and Rennig. I place Carnedd Llewelin before Snowdon, bc- caufe I carried a water level to the top of the latter, and con- ceived Carnedd Llewelin to be higher ; perhaps the difference may be only a few yards. gages t [ 296 ] gages were weighed fix feveral times ; In three of which the contents of the upper receiver exceeded thofe of the lower > and in the three others, the quantity in the lower exceeded that of the upper. On the whole, however, the contents of the lower rain- gage exceeded that of the upper above half an inch. This trifling diflference therefore feems to arife from a fliower’s lafting perhaps a little longer on the bot- tom of the mountain, and not from any permanent caufe, as in your obfervations. I am perfuaded, that thefe experiments have been made with the greateft attention and accuracy, as I was at Bala in Auguft laft, and found that all my diredions had been moft pundually followed. The inference to be drawn however from them (fuch as they are) feems to be, that the increafe of the quantity of rain depends upon its nearer approxi- mation to the earth, and fcarcely at all upon the comparative height of places, provided the rain- 'i-ao-es are fixed at about the fame difiance from the ground. Poflibly alfo a much controverted point between the inhabitants of mountains and plains may receive a folution from thefe experiments ; as in an adjaceiit valley y at'kaft, very nearly the fame quantity of rain appears to fall within the fame period of time as upon the neighbouring mountains. I am. Sir, Your mofi faithful humble fervant, Dailies Barrington. [ ^97 ] 1776. From July 6th to i6ch July i6th to 29th July 29th to Aur. loth Sept. 9th both bottles had ’run over. Sept. 9th to 30th 17th both bottles had run over. Odl. 17th to 22d Ot£t. 2 2d to 29th Nov. 20, both bottles were broken by the frofl. Bochyraidr. Grains Inches. 5080 = 0,709 ^5^54 = 2,185 4370 = 0,610 23167 = 5,234 5353 = 0,747 9179 =r 1,281 8,766 ThetopofRennig, Grains. Inches. 4643 = 0,648 15217 = 2,124 4698 = 0,656 17648 = *,464 6336 = 0,885 9944 = 1,588 8,165 NOTE. It may not be improper to Tubjoin to the foregoing actount, that, in the places where it was firft obferved, that a different quantity of rain would be colletEfed, according, as the rain-gages were placed above or below the tops of the neighbouring build- ings, the rain gage below the top of the houfe, into which the greater quantity of rain had for feveral years been found to fall, was above fifteen feet above the level of the other rain-gage, which in another part of London was placed above the top of the houfe, and into which the lefler quantity always fell. This difference therefore does not, as Mr. Barrington juftly remarks, depend upon the greater quantity of atmofphere, through which the rain defeends ; though this has been fuppofed by fome, who have thence concluded, that this appearance might readily be folved by the accumulation of more drops, in a defeent through a greater depth of atmofphere. W. H. Q.q . « Voi. LXI. XXXVI. ^ [ 298 ] \ XXXVI. A Dtfquljitmi cojtcerning certain Flue?2ts^ which are ajjignable by the Arcs of the Conic ScSiions ; wherein are invejii- gatea fome new and ufeful theorems for cotnputing fuch Fluents : By John Lan- den, F. R. S. Read June 6, A /TR. Mac Laurln, In his Treatlfe of 1771- JVJ. Fluxions, has given fundry very elegant Theorems for computing the Fluents of cer- tain Fluxions by means of Flliptic and Flyperbolic Arcs ; and Mr. D’Alembert, in the Memoirs of the Berlin Academy, has made fome improvement upon what had been before Written on that fubjed:. But fome of the Theorems given* by thofe Gentlemen being in part expreffed by the difference between an, Arc of an Hyperbola and its Tangent, and fuch difference being not diredly attainable, when fuch Arc and its Tangent both become infinite, as they will do when the whle Fluent is wanted, although fuch Fluent be at the fame time finite ; thofe The- orems therefore in that cafe fail, a computation thereby being then impradicable, without fome far- ther help. The fiipplying that defed T confidered as a point of fome importance in Geometry, and therefore I 3 ' carneftly . .5- -r I [299']' earneflly wl£hed, -and endeavoured, to accomplifla that bufinefs ; my aim, being to afcertain, by means of fiich arcs, as above-mentioned, the himit of the difference between the Hyperbolic Arc and its Tan- gent,, vvhilft the point of contadt is fuppofed to be carried to an infinite diftance from the vertex of the curve, .feeing that, by the help of that Limits the computation would be rendered pradlicable in the cafe wherein, without fuch help, the before-men- tioned Theorems fail. And having fucceeded to my fatisfadtion, 1 prefume, the refult of my endeavours, which this Paper contains,, will not be unacceptable to the Royal Society, I. Suppofe the curve ADEF (Tab. XII. fig. i.) to be a conic Hyperbola, whofe femi-tranfverfe axis AC is = w, and femi-conjugate = Let CP, perpendicular to the tangent DP, be called p j and put f Then (as is well known) will DP — AD be = the fluent of ‘ - ^ - -j p and 2 being each =- to m when 2f z — A D is := 0. 2. Suppofe the curve adefg (fig. 2.) to be a qua- drant of an Ellipjts, whofe femi-tranfverfe axis eg is itz slfTp and femi-conjugate ac zzz n. Let Q^q 2 C t n. [ 300 ] ct be perpendicular to the tangent dt, and let the ablciffa cp be = « X — . Then will the faid tan- * ml gent d t he = ms mz i and the fluxion thereof will be found , _i . •=: \ mn % X m I rr^ z^ X m%Y v'«-‘ -j- 2/z — x."" In the expreflion yqzll. -j- by I'" c -\r dy n** let c dy a by be fuppofed = z. Then will ^ be => and the propofed expreflion will be u a Tc) * - * X z-^k az — ^ X d — bzV+^- Taking, in the lafl; article, r and s each = |, % ^ — , b=ziy and c-=^ti‘, we have m n , — + > m 1 / 1 1 \ y'^ y f ni^ n—'^ y~^ y i i V *^n^ + 2fy^y^J X « — _ _y m — mnz’~-^z X 1 2 m — z‘ n* + mzY ft C 301 ] It appears therefore, that, y being X I y'^ y 1 i 1 2'2 X V«" -t- 2/> • — y'' 'lf% IS z=z \mn^z ^ z y. m 2I i I X 1 z2 i «" + 7« Z 1 * 4- 2/ Z — Z‘ which, by Art. 2. is = the fuxion of tJoe tang. dt. Confequently, taking the fluents, by Art. i. and correcting them properly, we find DP — AD + FR.~AF=:L + dt. II. —I CP, in fig. I. being cp, in fig. 2. =« X— ' ; CR, perpendicular to the tangent FR == y'^ ; DP — AD = the fluent of • Vn^ + 2/z — a' F R — A F the fluent of ^ — ; V«^ 2 f y — and L the Limit to which the difference DP— AD, or FR — A F, approaches, upon carrying the point D, or F, from the vertex A ad inflttitum. 5* Suppofe y equal to Zy and that the points D and F then coincide in E, the points d and p being at the fame time in e and q refpeCtively. Then c v being perpendicular to the tangent ev, that tangent will be a maximum and equal to eg — ac — 'drn^ ~\-7r ^ n ; the tangent EQj[in the hyperbola) will be=Vw^T^j the [ 302 1 the abfclffa BC = m / 1 + - . " W; the ordinate V m + n BE = ?2 X ^ It. appears, that V + n‘‘ L IS — zE Qj~” 2AE — ev = «-|- -\-?i 2 A E ! Thus the luhnit which I propofed^to afcertain is in- veftigated, m and n being any right lines whatever ! 6. 1 A . The whole fluent of " ^ » generated V 4- 2/z — whilft z from 0 becomes = being equal to T ; and the fluent of the fame fluxion (fuppoflng it to begin when z begins) being in general equal to L + AD — DP = FR — AF — dt ; it appears, that, k being the value of z correfponding to the fluent i 4. AD — D P, wil> be the value of z correfponding to the fluent T -p and FR AF will be the part generated whilft z from 1”.”' -11 becomes = m. It follows therefore, mk nr that the tang, d t , together with the fluent ot X I = generated whilft z from 0 becomes be- equal tilny "quantity k, is equal to fluent oj the fame fluxion generated whilft % from I comes = j c p being taken n x —1 • Suppofc [ 3°3 ] Suppofe k ■=z m n k its value vvull then be ri^ mk — sj m“ -|- ;z“ — Confequently the fluent of VI Z I I- z V «"■ + 2 /’z — 711 ' 11 generated whilfl; % from o becomes , together wflth the quantity Vzzz* -|- n — ;z, is equal to the fluent of the fame fluxion generated whilfl: z from 4" n — — n m becomes = m : and thefe two parts of the whoie Jluent being denoted by M and N refpedively j M will be — AE, and N = -p ii — AE. 7* The fluent of. being JL-j-AD—DP, the fluent of ■ 1 X ^ Vl'^ z V n^-i-2fZ‘~z' +DP — AD—E will he~0,. I I Therefore, the fluent of ^ -{- the fluent of \m~ z~ k 2fz—z‘ *^n‘'-{-2fz — z 4 _ being ziz: the fluent o^lz~^zx^ m it is obvious, that the fluent of \ ^ li^ z~ z V/?" + 2/5 IS z= D P - AD - L + the fluent of i 4; X m — z = D [ 30+ ] r= D P — AD — Z, the elliptic arc dg (fig. 2.) whofe ablfifla c p is ~ « x — ^ m I Confequently, putting E for I of the periphery of that ellipfis, it appears that the whole fluent of rn~- z~ ~ =, generated whllH; z from o becomes V -p 2/z z"’ ' :=^m, is equal to JS— AE — « — 8. • By taking, in Art. 3. q, r, and each =: | j and a =1 — d ~ b — i, and c z=r. we find. 7n mri^-^n^z z z : + y~2y that, ify be = — r— — n +OTZ sf ^ if % — z,‘‘ *dn^-{-2f y — will be r= 0. It is obvious therefore, that the fluent of generated whilfl: 2; from 0 becomes m k 4- 2/2 — z equal to any quantity is equal to the fluent of the fame fluxion, generated whilfl: z from ~r— — ^ be- comes = m. Now, fuppoling k = — \jm n . mn n^k rnk , its value will be m m Confequently, the fluent of “ + 2/2 2* rated whilfl: z from 0 becomes = - IS [ 305 ] is equal to halj the fluent of the fame fluxlonj^enerated whiift z from o becomes rr: m ; which half fluent is known by the preceding article. It appears, by Ar. 4. that I I z is = — iht flux, of the tang, dt; and it appears, by the lafl article, that X _I m~ y y + z IS V -{■ 2f y — y"" V -H 3 fz. — m 71 — 11 y — 11 z — my z being c=: 0, Therefore, by addition, we have 0 ; V X + Z X mzY m — m — y •— — the fluxion of the tangent d t. Confequently, by taking the corretft fluents, we find the tang, dt (=: the tang, fw) =: the arc ad — the arc fg ! the abfcifla cp being ■:= n x — y m 1 the abfciflTa zi ~ n x I- , and their relation ex- »; ■ n^'u'' ^ 1, Z m u z) preflTed by the equation z=Oy u and v being put for cp and cr refpe ‘for C 314 1 , for upon the foil, water, and fituatlon of a pond, the fuccefs in the management greatly depends. The bed: kind of ponds ought to be iituated in a well- manured, fertile plain, furrounded by the fineft paftures and corn fields of a rich black mould, hav- ing either mild or foft fprings on the fpot, or a rivulet that runs through the plain; the water ought to be mild and foft, by no means too cold, or impregnated with acid, calcareous, felenitic, or other mineral par- ticles. The expofure muft be dieltered againft the cold blafting Eaflerly or Northern winds, by a ridge of hills, fituated at fome diftance from the pond, enjoying fully the benign influence of the fun, far from any thick fliady wood, that might intercept the beams of the fun, or where the leaves of trees might caufe a putrefaction, or impregnate the water with aflringent particles. Such ponds as are furrounded by poor, cold, and ftiff foils, are open to the Eafl and North winds, have a wood on one or two fides, and hard or cold water, or fuch as ilTues from mines, moors,, or mofles, are inferior in goodnefs. • . Ponds in a poor, dry, or fandy foil, furrounded by pines or firs, with the jufi-mentioned inconveniences, are confidered as the worflof all. The ground towards the pond ought to have a gentle fiope ; for deep vallies are fubjeCt to great floods, and will then endanger the dikes in a wet rainy feafon ; and often the expectations of many* years are carried away. The foil cannot be altered : it is therefore a chief qualification of a pond, to be contrived in a good foil. The C 3^5 ] The fun is a lefs material article j provided there- fore a pond can enjoy the morning and noon-tide fun, it matters not much if the wood be on one or two of its fides. The water is a material point j but in cafe the fprings that fupply the ponds are very cold and hard, it may be feftened and tempered by expofing it to the fun and air in a large refervoir above the pond, or by leading it for a long way in an open ex- pofure, before it enters the pond. The quantity of water to fupply the pond with, is another requilite j too much water makes too great a canal neceffary, for carrying its fuperfluity off j and this is very expenfive : too little water has another inconvenience, viz. that of keeping the water too long in the pond, and to caufe a ftagnation, without any fufficient frefh fupplies ; and often, in a dry fea- fon, the fcantinefs of frefh water diflreffes the fifb, and caufes difeafes and mortality among them. The above remarks are general, and rauft be ap- plied to all kinds of ponds ; but now I will enter into a more minute detail : it is found by experience moft convenient, to have three kinds of ponds for carp. The firft is called the fpawning-pond ; the - nurfery is the fecond 3 and the main-pond is the third and largeft. There are two methods for flocking the ponds with carp ; either to buy a few old fifli, and to put them into a fpawning-pond ; or to purchafe a good quantity of one year’s old fry, for the nurfery. I will treat of both methods, and will add fomething about the management of carp in the main-pond. S s 2 A pond C 316 ] A pond intended for fpawning, muft be well cleaned of all other kinds of filh, efpecially fuch as are of a rapacious nature, viz. pike, pearch, eel, and trout and alfo of all the newts or larva of lizards, and the dytifei or water-beetles, which frequently deftroy quantities of the fry, to the great lofs of the owner. A rich foil, gentle Hoping banks, mild fprings, or a conftant fupply of good foft water, with a fine ex- pofure in regard to fun and air, are the chief requifites for a good fpawning-pond. A pond of the fize of about one acre, requires three or four male carp, and fix or eight female onesj, and thus further, in proportion to each acre, the fame number of males and females. The befi; carp for breeders are five, fix, or feverr years old, in good health, in full fcale, without any^ blemifh or wound (efpecially fuch as are caufed by the Icrncea cyprini Linn, a kind of cartilaginous- worm) with fine full eyes and a long body. Such as are fickly, move not brilkly, have Ipots as if they had the fmall-pox, have either loft their fcales, or have them fticking but loofely to the body, whofe c}'es lie deep in their heads, are fhort, deep, and lean, will never produce good breed. Being provided with a fet of fuch carp as are here deferibed, and fufficient to ftock a pond with, it is beft to put them, on a fine calm day, the latter end of March or in April, into the fpawning-pond. Care muft betaken, that 'the fifh be not too much hurt by being tranfported in a hogfhead, nor put into the pond on a ftormy day 5 for they are eafily thrown upon C 3'7 1 upon the fliallows on the Tides, being weak and harraiied by being caught, removed, and not yet ac- quainted with the deep holes for their retreat, in the new habitation. Carp fpawn in May, June, or July, according as the warm feafon fets in earlier or later. The warm weather expands and fwells gently the bodies of the fifh ; and their bellies being diftended with roe and, milt, they feel an itching about thofe turgid parts, and therefore fwim to a fhallow, warm, fheltered place, where the bottom of the pond is either fomewhat Tandy or gritty, where Tome grafs and aquatic plants grow, or where Tome ozier branches and roots hang in the water ; they gently rub their bodies againft the ground, the grafs, or oziers, and by this preflure, the fpawn ilfues out; and as the milter, by a natural indin<5t, follows the fpawner, and feels the fame itch- ing, the calls of nature are gratified in the fame manner, and the foft roe or milt is fpread over the fpawn, and thus impregnated. Carp in this feafon are frequently feen fwimming, as if it were in a circle, about the fame fpot, which is merely done with an intention of repeating the rubbing of their expanded bellies. The fined and calmefi: furnmer days are com- monly thofe on which carp fpawn ; providence hav- ing thus made a provifion for the greater fecurity of the fry of fo ufeful a fidi ; as otherwife, in a dormy day, the fpawn would be wadied towards the banks, where it would be eaten up by birds, or trampled upon by men and quadrupeds, or dried up by the heat of the fun, and a whole generation, of carp entirely dedroyed. In a pond of my uncle’s, I frequently found the carp in a warm furnmer evening, round a • Large [ 3‘S ] large ftcne, rubbing their bellies againilthe hard Tandy ground ; I often approached with as much iilence as pofiible, put my hands and feet among the fporJng carp, and had the fatisfa(ftion to fee them pafs and repafs through my hands, without being in the ieafl didurbed ; but at the lead: noife or quick motion oc- cafioned by me, they moved away with furprizing velocity. About the fpawning feafon, great care mud be taken, to keep out all aquatic fowl, wild and tame, from the ponds ; for gcele and ducks not only fwal- low the fpawn, but dedroy dill more of it, by fearch- ing the weeds and aquatic plants. It is therefore a general rule, to fend twice a day, a man round the ponds, to fcare all wild fowl, viz. fwans, geefe, ducks, cranes, and herons. . Sometimes crufians and carp, or tench and carp, being put together in a pond, and the males and females of each kind not being in a jud proportion one to another, the different fpecies mix their roe and milt, and thus produce mules or mongrel breeds. ‘ • The mules, between carp and crudans*, feldom and dowly attain the fize, which carp are capable of; * The fifli thus named is fiippofed to be the fame with the rud or finfcale (See Br. Zoo). Vol. III. p 310 ). Jt is notvciy common in England, and is generally erteemed to be much in- ferior to a carp in point of flavour, which I rather conceive to arife from its being placed in improper ponds, or eaten when it is not fully in feafon, as our countryman Mr. Henfhavv gives the following account of the Icaroufle (cyprlnus caraufius of Linnaeus). “ The crawfifh of tliat country (meaning Den- “'mark) are at lead twice as big as ours, and arc excellent “ mcatj but the cboiccft pond fifh they have, is called karoufe^ C 319 ] they arc very deep, and fhorter in proportion than carp, but of a very hardy nature. The mules between carp and tench, partake of the nature of both fifli, come to a good lize j but fom# part of their body is covered with the fmall dimy fcales of a tench, and fome other part has the larger fcales of carp 5 their fleili approaches nearer to that of a tench, and they are likewife of a lefs tender na- ture than the common carp : this latter kind of mule is called in Germany fpiegel karpe^ i.e. the mirror ~carp^ the blotches with large fcales among the fmaller ones being confidered as mirrors. Whether thefe mules are capable of propagating their fpecies, I cannot affirm ; never having made any experiments on that fubjedt ; nor have I heard any thing faid on that head with any degree of pre- cifion, or founded on experience. In fome ponds in Lancaihire, I was told, by a gentleman of great worth and honour, both thefe kinds of mules are now and then found. I think it, however, not advifeable, to put carp and tench, or carp and crufians, in one pond, unlefs it be done for experiment’s fake; in which latter cafe, a fmall pond, free from other fiffi, with one or two fiffi of each kind, will be fufficient to gratify curiofity, without debafing a generation of carp in a large “ fomewliat refemblirtg a roach, with his red fins ; but it Is near as big as the larpeft carp, and much better meat.” Dr. Birch’s Hift, R, S. Vol. III. p. 187. D. B. The [ 320 1 The young fry being hatched from the fpawn, by the benign influence of the fun, they are left the whole fummer, and even the next winter, in the fpawning-pond, in cafe the pond be fo'deep, that the fuffocation of the young tender fry under the ice in a fevere winter, is not to be apprehended, for it is by no means advantageous to take them out in the firft months of their exiftence. However, if the fliallow- nefs of the pond, its cold fltiiation and climate, make it necelTary to fecure the fry againfl: the rigours of the enfuing winter, the water of the pond muft be let ofFj the fry and old flfli will gradually retire to the canal and ditches, which communicate with the hole in the middle of the pond, and a net, with fmall meflaes, is then employed to catch both the fry and old ones. The old breeders are then feparated from the fry, and both kinds put in feparate ponds, that ' are warmer and more convenient for the wintering of thefe delicate fifh. Care muft be taken, to fix upon a calm, mild day, at the latter end of September, for the catching of the fry out of the fpawning-pond. The nurferies are the fecond kind of ponds in- tended for the bringing up the young fry. The heft time to put them into the nurfery is in March or April, on a fine and calm day. A thoufand or twelve hundred of this fry may be allotted to each’ acre of a pond. The choice of the fry muft be made ac- cording to the above enumerated charafters of good and healthy fifti, and muft be carefully removed from one pond to another It is likewife requifite to fend. people with long fticks, all the firft day, round the pond, in order to drive the tender and weak fry from the Tides into the pond, becaufe they are be- 2 wildered [ 321 3 wildered in a ftrange place, and often become the prey of rapacious birds In cafe the pond be good, and not overftocked before, and the fry well-chofen and preferved, it is almoft certain, they will grow within two fummers fo much as to weigh four, live, and fometimes fix pounds, and to be flediy and well-tafled. A great many Pruflian gentlemen make a good profit, by fell- ing their carp, after two years landing in the nur- fery, and export them even to Finland and Rullia. The main-ponds are the lall kind. In thefe, carp are put, that meafure a foot, head and tail in- clufive. Every fquare of fifteen feet in the pond is fufficient for one carp, and will afford food and room for the fifh to play in. The more room carp have, and confequently the more food the pond affords, the quicker will be the growth of the fifh. The longer the pond has been already in ufe, the longer you intend to keep the carp in it, the more you defire to quicken the growth of them, the more you ought to leffen the number of fifh deftined for - the pond. Spring and autumn are the beft feafons for flocking your main-ponds. The growth of your fifh will always be in proportion with the food they have : for carp are obferved to grow a long time, and to come to a very confiderable fize, and a re- markable weight. I recoiled; to have feen carp above a yard long, and of 25 pounds weight j but I * I have reafon to think that the common carrion crow fhould be added to the lift of birds, which Mr. Forfter hath before fup- pofed deftroy fifh when in {hallow waters, as I once faw this bird taken by a trap, which was baited with a fifh for a heron. D. B. T t had VoL. LXL [ 322 ] had no opportunity to afcertain their real age. In the pond at Charlottenburg, a palace belonging to the king of Pruffia, I faw more than two or three hundred carp between two and three feet long ; and I was told by the keeper, they were between 50 and 60 years ftanding : they were tame, and came to the fhore in order to be fed ; they fwallowed with eafe a piece of white bread, of the fize of half a half- penny roll. During winter, ponds ought to have their full com- plement of water ; for the deeper the water is, the warmer lies the fi(h. In cafe the pond be covered with ice, every day fome holes muft be opened, for the admiffion of frefh air into the pond, for want of which frequently carp perifh. In the fummer, obferve to clean the rails and wire- works, in the water-courfes, of the weeds and grafs, which frequently ftop them up. Birds that feed on iifli muft be carefully kept out of the ponds. In a great drought, provifion ought to be made, to keep the water at the fame height as it commonly (lands in the pond, t. e. between four and five feet. If the water ftagnates and grows putrid, it muft be let off*, and a fupply of frelh water be introduced from the refervoirs. If the weeds, cfpecially reed and flags, and fome of the aquatic gralTes, over-run too much the pond, feithes fixed on poles of 16 or 20 feet, with a lead faftened to them to keep the feithes on the bottom of the pond, are thrown out, and then again drawn to the perfon that works with them, and the weeds will all be cut ; after which operation, they muft be drawn up by long harrows, and fet in heaps on the ftiore for putrefadion, and in length of time, [ 323 ] for manure. This cleaning of ponds, mufl never be done in a fpawning-pond, where it would be the dedrudtion of thoufands of fifh. Autumn is the befl feafon for catching fuch carp as are intended for the market. After the pond has been for five or fix years in conftant ufe, it is likewife time to let the water entirely off, and clear the pond of the mud, which often increafes too much, and be- comes a nuifance. When the pond is dry, it may be ploughed before the frofb fets in, and next fpring oats or barley fhould be fown in it, after a new ploughing; and it will repay the trouble to the owner with a rich and plentiful crop. When the loofe fu- perfluous mud is carried off out of the pond, care ought to be taken not to take the foil below the ori- ginal level of the pond. Some people fow a pond, which hath been laid dry for fome months, with oats ; and when they are grow- ing, they fill the pond with water, and introduce carp for fpawning, and think, by this contrivance, to procure food for the fifii and fomething to rub their bellies againll:. But this pradlice feems to be more noxious than beneficial ; for the growfing oats will putrefy, and communicate putridity to the water, which can by no means be falutary to the fifh. The epicures fometimes feed carp, during the colder feafon, in a cellar. The following method is the befi; that can be obferved for that purpofe. A carp is laid on a great quantity of wet mofs, fpread on a piece of net, which then is gathered into a purfe, and the mofs fo contrived, that the whole fifh be en- tirely wrapt np in it: however, care mull: be taken to give the fifli eafe, and not to fqueeze it, fo that T t 2 it [ 3H 3 it may have room to breathe in this confined attitude. The net with the fifh and mofs is then plunged into water and hung up to the cieling of the cellar. In the beginning, this operation muft be very frequently repeated, at leaft every three or four hours j by length of time the fifh will be more ufed to the new element, and will bear to be out of water for fix or feven hours Its food is bread foaked in milk, which, in the beginning, muff be adminiftred to the fifh in fmall quantities ; in a fliort time the fifh will bear more and grow fatter. I faw the experiment tried in a nobleman’s-houfe, in the principality of An- halt-DefTau ; and during a fortnight, I vifited myfelf, every day, the fifli, together with the young noble- man, my friend, whom I accompanied to his feat from the univerfity, during the Chriftmafs-vacation. After the fifli had been kept in the above manner during a fortnight, it was drelTed and ferved up at dinner, when every one prefent found it excellent in its flavour. At my late uncle’s, I had an opportunity of repeating the experiment on a carp It is known to every one that a carp will live a great while out of water ; but perhaps it may not be fo notorious, that the keeping him feveral hours in the common air, without any pre- cautions, may be repeated from day to day, without any apparent inconvenience to the fifh. There is a fifhmonger near Clare -market, who, in the winter, expofes for Tale, a bufhel at leaft of carp and tench, in the fame dry veflel : but a fmall proportion of thefe can be fold in a day; and I have frequently been informed, that the fifh con- tinue in good health, notwithftanding their being thus expofed to the air fix or feven hours for feveral fucceflive days. D. B. 5 that ' [ 325 ] that had been brought 20 miles wrapt up in wet mofs j but after the fifli had been kept three days in wet mofs, during which it was frelh and healthy, it was employed to regale a friend, whofe unexpected arrival accelerated its fate, before the experiment was finifhed. John Reinhold Forfter^ XXXVIII. An [ 326 ] XXXVIII. An Account of the remarkable Cold ohfervccl at Glafgow, in the Month of January, 1768 ; in a Letter from Mr. Alexander Wilfon, Profejfor of Aftronomy at Glafgow, to the Rev. Mr. Nevil Mafke- line, B, D, F. R. S. ajid Afronof7^er RoyaL Reverend Sir, College, Glafgow, May 29, 1771. Read Nov. 7, T_T A V I N G of late had feme leifure ^771* f I time, I have made out from my minutes, a detail of the remarkable cold which pre- vailed here in the month of January, 1768; the intenfity of which being fo extraordinary for this climate, an account of it may perhaps be thought worthy of a place in the Philofophical Tranfac- tions. Whilft in bed, on funday morning, January 3, 1768, about 8 o’clock, it felt fomehow unufually cold. A little while after, on reaching out for a decanter which I had placed near me the preceding night. f 327 ] night, with fome water in it, I was furprlzed to find the furface of the water frozen over, the like not having happened before in that place. Upon this, I defined my fen to try the cold by a thermome- 'ter, as I imagined it behooved to be very intenfe. The experiment was foon after made, by exppfing a thermometer at a high North window, and free from the walls of the houfe ; in which fituation it had not remained for a quarter of an hour, when we found the mercury had fallen fo low as to 5 deg. of Fahrenheit’s fcale. Although I had expeded a great degree of cold, yet 1 was not quite prepared for fo extraordinary a re- port as that which the thermometer now gave me. My doubts were, however, foon fettled, by examin- ing matters with more attention, and by finding the firif thermometer verified by my ftandard one, which was now hung out befide it. Being thus fatisfied that there was no fallacy in this preliminary obfervation, it naturally occurred, that the cold, however intenfe it now was, might have been much more fo at fome earlier hour of the morning. But how to afeertain this, and to recover the lofi: ob- fervation, was the difficulty. In the eagernefs of our difappointed curiofity, we were difpofed to mag- nify this golden opportunity, which had now efcaped us, and to refled upon it with regret, when luckily a little invention helped us out. A notion fuggefied itfelf, that, if we went very warily to work, we might perhaps furprize thole imagined colds ftill lurking under the furface of the fnow, which at that time lay thick upon the ground. I need c 328 ] I need not mention upon what principles of the heating and cooling of bodies this expedation was founded, as they will readily occur of themfeives. The fadt was, that I immediately repaired to the fields, and fought out a low place, upon which the fun had not then rifen ; here I laid the thermometer in the fnow, almoft upon the very furface, when pre- fently the mercury funk from -|-d deg. to — 2 deg. which therefore I concluded to have been pretty nearly thecoldeft temperature of the air over night. The next thing was, to make regular obfervations with the thermometer, fo long as the cold promifed to continue remarkable. The inflrument was hung upon a pole near to the obfervatory, and to the wind- ward of it, care having been alfo taken to keep it under a proper fliade, fo long as the fun flione out. Regijier of the Thermoyneter^ kept at the M- Far lane obfervatory^ of the college of GlafgoWy on funday 'January 3, and monday Janu- ary 4, 1768. Sunday 10 o’clock -p 5 deg. 7 g The temperature of the fn®w 10 on funday morning, at about ten 1 1 inches below the furface, was near gh to 30 deg. H si 2 li — ' I — morning 1 1 12 afternoon i 2 3 si 4 4l 5 si 6 7 8 — 8f 9 9I 10 io| 1 1 III 12 Monday i morning 2 2^ ■*2 3 3l 4 4f 5 [ 329 ] + 1 o u 7 9 JO 12 Some appearance of clouds in the? S.E., Clouds gathering, and fonae wind: from E. Qiiite overcaft, wind E. Ditto Ditto It was obfervable, that after fun fetting, the atmof- phere had a tendency fonaetimes to turn a little foggy,, and again quickly to clear up, balancing, as it were, betwixt thefe two different ftates. It is worthy of notice, that the minute variations of the thermometer, asfet down in the above regifter, feemed to depend upon thefe different conflitutions of the air; the mercury always riling in the thermometer a fmall matter, when the miftinefs came on, 2ind. vice verfa. In the intervals of obfervations, we made fome other experiments, which the prefent intenfity of the froft fuggefled ; particularly one relating to the evaporation- of ice, which was tried in the following manner.. I took a fquare reflecting metal belonging to my own. two foot telefcope, and expofed it on the baliuftrade. of the obfervatory, till it had acquired the tempera- tore of the place, which was then at o deg. after it?. Yol. LXL, U u, wiifc r 330 ■] •was thus cooled, I breathed on it repeatedly, till its polifhed furface was covered over with an inciudation of ice or frozen vapour, of a very palpable thicknefs. In this condition the fpeculum was replaced in its for- mer fituation, having its incrufled furface expofed to the ftill open air; when, in a little time, w'e found the frozen pellicle begining to difappear at the outer •edge, all around, leaving the metal quite clear. Gradually more and more of the fpeculum was bared in a regular progreflion, from the circumference to- wards the centre; and at laff, in about 50 minutes, the whole furface had parted with "its ice. This ex- periment was repeated when the fpeculum was de- fended from the open air, by a large thin box, with a cloth over it. The event turned out the fame as before, only it required longer time. This progrefs of the evaporation from the outward parts towards the centre of the fpeculum, was likely owing to the original plate of ice being thickeft to- wards the center, a ciixrumflance which might arife from the manner of fixing it at firff breathing on it. Or perhaps it may be imputed to fome more curious caule, and may be lome effedt of the repullive force belonging to the poliflied furface ; but, this point we did not fufficiently examine into, by a due repetition of experiments. I may juft mention, that, partly with a view to this matter, we expofed as above, a fet of bodies, having their furfaces of different de- grees of polifli, and as equally covered with frozen moifture as we could judge. The refult of which experiments feemed to favour the idea of the ice being lefs attached to the more polillied furface than to the coarfer. This appeared particularly in the [ 33* ] cafe of a comparlfoii made betwixt the rpecurum- above-mentioned, and the brafs end or cover of the fame telefcope ; for the ice was found ftill to cleave to its furface a good while after the fpeculum was entirely cleared,. Thefe imperfeft experiments are- only mentioned by the bye, and may perhaps ferve as. hints toothers, who may be difpofed toprofecute this part of natural phiiofophy. Some particular reafons have occurred, which will hinder me from tranfmitting to you the paper on the; folar fpots, till fome time next winter, by which time I fliall have finifhed every thing 1 have to fay on that fubjedl., Widiing to hear from you at your leifurCj. I ever am, with much refpedt. Reverend Sir,, Your moft obedient fervant,. Alexander Wilfon^ Frofeffor of Agronomy at Glafgow:. Fu. z Receivedi [ 332 ] Kcccired November i^, 1770. XXXIX. Some Expertme?ils on FiitrefaBion ; by F. L. F. Crell, M, D. and Profejfor of Chemifry at Brunl'wick. Read TsV*. 7, Y I R HE celebrated lord Bacon [a] has, i without doubt, tliewn a very great fagacity, in pomtingout to poftcrity, putrefadion, as a ubjed, worthy of making further inquiries into j and Certainly, as there happen daily fo many changes, " ot only in the inanimate, hut alfo in the animate World, carried on by its means ; the know- ledge of every thing relating to it muft clear up •a great many points in natural philofophy, not tho- roughly underliood before. But thefe inquiries ought to be dill oF more confcquence to mankind, as health depends greatly upon keeping in due bounds putrelaclion, which the body naturally tends to. For thefe rea'ons. Sir John Fringle deferves, befides his other eminent merits, very gieat praifes, on his hav- ing made many experiments on this fubjedt ; and medicine is indebted to him for conliderable improve- ments refulting Irom them. He has befides opened the [a] Nat. Hifl. .Cent, 1 V. [ 333 ] the way to many other gentlemen, among whom excell Dr. Gaber, and Dr. M‘Bride, whole nume- rous experiments lliew the ingenuity, and fagacity^ they are polTelTed of ; but the I'ubjedt is not yet ex- haulled, nor will it be very ealily. I .have made fome experiments relating to it ; and lliould be very glad, if they threw a new light on fome points of the greateft importance to medicine. Dr. Gaber has proved, by his experiments, the pre- fence of a volatile alcali produced by putrefadlion j but as he did not difeover by the fame proceedings [<^] any in its beginning or end, though there was a very putrid fmell, he denies its exillence in thefe flates, and concludes, that this volatile alcali is not a necef- fary produdl of putrefadlion [c]. This doftrine feemed to me not quite conformable to the phaeno- mena : for, as all fmell, as much as we know at lealf till now, depends on a faline matter, joined with a Acla Taurinenf. Vol. I. p. 78. Cum attegcrint fummum eft’ervefeentiae gradum, continuato ejufdem loci calore eflervef- centiae vim amiferunt. P. 79. Citius pleruinque prodiit foetor, quam alkali, idemque tardius defiit. P. 82. Mafl'am inde relinqui foeteiuiffimam, led emiffo alkali ad eft’ervefccntiani ineptam. Id. p. 83, 13. Q^ium foetcret graviffime refidtjum deftil- lacionis, quamquain omni alkali orbatum, manifeftum videtur, ab alkali foetorem exaitari quidern pofle, 6c magis penetrantem cffici, non autem ab eodem proJuci, quandoquidem fupereft eo fublalo — 16. Videtur is odor a volatilibus admodum paiticulis proficifei, fed quae ab alkali diffimiles funt, plcrumque citius gignantur, tardiuTque diflipentur — alcalefcemia adtife poteft medico foetori conjundla — viciffirn maximus foetor abfque alcali— Kx quibus. differentia inter foetidas alcalinafque partes confirmari videtur. — P.84, 17. Videtur alcali non effe produelum neccllari- iim putrefadlionis neque gradum alea'.efcentiae gradui putrefadii- cnis refpondere, I ' phlogiflon, . [ 334 1 phloglfton, and thefaline matter producing the putrid ftench, was not very likely an acid; I fuppofed it to be a volatile alkali, which, involved in phlogidic matter, might fly off, before the alkali was deve- loped. I wanted to know by experiment, if I was right; for this purpofe, I put, the 19th of June (the thermometer being 58° of Fahrenheit, and con- tinuing between 58° and 62° all the time I obferved), in a pretty large receiver, fome beef cut in very fmall pieces ; I covered the bottom with it thinly, and poured upon it water, about two inches high. The 22d, the putrid fmell was very fenfible: but I let it ifand till the 24th, when I poured off the fluid [^f], adding again about the fame quantity of water to the flelh. I filtrated then the fluid through a piece of fine linen, and mixed with fome of it the fyrup of violets, which it did not alter; neither did it effer- vefe with the fpirit of vitriol, diluted to a fiiarpnefs near that of the vegetable acid. I thought of keep- ing it in digeflion for fome days ; but, for fear that fome little folid particles might have paffed through: the linen, and by that means, in growing putrid, might give fome alcali, and render the trial in- accurate, I diflilled the fluid by a heat of about 160°,. after which, I repeated the trial with the fyrup of violets and the fpirit of vitriol but it produced no^ [4] It requires fome attention to find out the proper time when to pour off the liquor ; if it is done toofoon, it will give too little volatile alcali to be much fenfible by experiments for, though it fmells firongly,it is known how little matter is re- quired to produce a. ftrong fmell. If it is delayed too long, it fliews already figns of an alcali. For that rcafon, I made many, experiments- in vaiw. change.^ [ 335 ] change. I then pnt it, the 25th, into a retort, fitted to it a receiver, applied to the jointure a ringofpafte made of flower and water, covered it with a piece of wet bladder, and expofed it in a balneum aren/^e to a heat of 108° to 116°, till the 29th of June, whe>!\ the whole fluid was diftilled over. I perceived dur- ing this operation, that the liquor, from being quite tranfparent, grew turbid ; the firfl diftilled tranf- parent fluid grew alfo turbid in the receiver, and at the bottom of the retort there was a fmall fettlement of a whitifh earth. The liquor had a particular fmell, but quite different from a putrid one, inclining to the volatile alcali ; and flaewed a flight but Tenfible degree of cffervefcence with the fpirit of vitriol ; and the fyrup of violets was turned evidently green bv it. •/ In the mean time, the flefh with the water con- tinued to emit a putrid flench 5 and the 28th of June I found the fluid colouring the fyrup of violets greenifli, and fliewing a kind of effervefcence with the acid. Both thefe qualities were increafing every day, till the 8th of July, when, on account of a journey, I could not obferve it any longer. I had left the mouth of the receiver open j and on my return the ifl of Au- gufl, I found an exceeding putrid fmell ; 1 covered the veffel ; and the 2d, examined the fluid, but it did not effervelce any more. I then filtrated the li- quor; but the flefh was fo rotten, that a great many particles paffed through the linen, and rendered it turbid. 1 put it into a retort, adapted a receiver, and luted it, as before-mentioned ; the heat was alfo the fame, between 108° and 1 16°. In this warmth it continued for about four days, when the fluid was diflilled [ 336 ] difiilled over. On opening the veflels, the fmell was again entirely changed, not near fo difagreable as be- fore. In the receiver I obtained a fluid, which turned the fyrup of violets green, effervefced very finartly with the very fame fpirit of vitriol I had ufed before j gave the fmell of a volatile alcali, on adding to this the fixed alcali j praecipitated the calces of metals diflblved in acids, and fhewed itfelf by all proofs a true volatile alcali. In the retort re- mained a yellowifh matter, almofl; without any fmell. I put to it fome water ; and after 24 honrs, it gave the herbaceous fmell, but fliewed no figns of any alcali. I let it ffand four days longer; the her- baceous fmell continued ; but there was no alcali to be difeovered. 1 diftilled it with a gentle fire: but neither then did there appear an alcali [^] ; and by applying a flronger fire, I got nothing but a kind of empyreumatic oil. i had poured, the 3d of Augufi, fome frefla water on the putrid matter; its putrid fmell continued; the ytli 1 decanted the fluid, filtrated it, and made it undergo the fame operation, with exadtly the fame elte(fl as before ; which I did again the i ith, with the very fame effedt. I did not repeat it oftener, as I had oGcafion for this putrid fleflt to fome other pur- pofe. Thefe experiments fliew, I think, that the volatile- alcali is prefent as long, at leafi, as the putrid fmell. (’(.’] What this herbaceous fmell drcl depend on, I did not en- quire any farther, as not relating to medicine,, fince a Jiving' body never was found in fuch a ftate : but very likely it depends, •n fome volatile alcali, which is perhaps in fo very final', a quan- tity as not to be perceptible by experiments.. continues,,. [ 337 ] continues ; and that this volatile alcali Ts the bails of it, becaufe, as this was diililled over, the reiiduum, being ilill in intefline motion, got only the her- baceous fmell. The reafon, why the volatile alcali has been diilin(5lly obferved at a certain period of putrefa To this I reply, by an analogous inftance ; a fmali quantity of ferment will bring on fermentation in a large mafs of fermentable matter, and yet as much acid as could be obtained from the ferment, far from exciting an inteftine motion in the fermentable matter, would rather check it; but can it, for all that, be denied, that the involved acid in the ferment is the chief caufe of fetting the whole mafs in fermentation? In the fame way, the alcali combined with phlogiftic matter may produce fuch inteftine motion as the pure alcali cannot ; and very likely the firft would not produce it, if the volatile alcali in it could be changed. To bring this about, the moft powerful means feem to be the ufe of acids; and the moft celebrated phyficians agree in the good elfedt they have obferved from acids in putrid difeafes, and re- commend them flrongly. Dr. M ‘Bride thinks o- therwife, and his reafons are thefe : Ji7'Jl that if the acids came unchanged to the abforbent vefTels, they would not admit of them [k]-, Jeco?idl)\ [/j Huxham on the fore throat, p. 67, 68. Ejufci. ElTay on feveis, p. 1 18, edit. 5. [i] Experiment Eflays, edit. fee. p. 20. The avitlere acid (generated in the firft pafiages of wealdy perfons) is cxacUy in the fame ftate with a foreign acid, for the lactcals will adirfic none of it. X X 2 if [ 340 ] if they did, they would be dangerous [/] j and thirdly that they are quite changed, before they leave the primes wee [m]. As for the firji, I do not know what reafons Dr. M‘Bride founds his afler- tions upon, as acids never are given in fo concen- trick a hate, as by their aftringency to make thefe veflels fhut up their orifice j and as metallic falts themfelves are abforbed in their very compound hate (which (eems clear with regard to the corrolive lublimate, and other fuch faline preparations), 1 do not fee, why the fimple acids could not be abforbed. The fecond reafon fee ms to be founded upon fome of Dr. M‘Bride’s experiments (p. 132, 133), that putrid flefh, fweetened by dillilled vinegar and fpirit of vitriol, was firm ; but on being boiled went quite to pieces, whereas that fweetened by volatile alcali did not. But, I conceive, thefe experiments are not applicable to a living body : for the acid being there mixed with the fluids, cannot adt in this way on the folids, till the fluids are (if I may ufe that [/] Ibid. p. 134. the acids diffolve the elementary earth, and thus deftroy the texture of that fubftance, whofe foundnefs they are fuppofed to reftore. — P. 148. we are not to expedl, that they are to pervade the minute branches of the vafcular fyftem j when indeed it is evident, that they ought not to, be allowed to pafs into the blood in their acid form ; fince it is plain, that, from their diffolvent nature, the body mufl be deftroyed, and its moft folid parts melted down to a jelly, if naked acids were to be received into the general mafs of fluids. [/«] Ibid. p. 148. acids are neutralized during the alimentary fermentation; and therefore they cannot a£l as acids, by fatur- ating any thing of the alcaline kind that they meet with in their courfe of circulation. expreflion) [341 ] cxprefilon) fupra-faturated with the acid [«], which in putrid dileafes cannot be the cafe. And far- ther, a heat of 212° of Fahrenheit never can in- creafe the action of the acids in living bodies, as it did in the experiments ; forj though Dr. M‘Bride denies this confequence, and will prove the contrary, as the flefli with the alcali did not diffolve j yet this circumftance proves nothing more, than that the vo- latile alcali has not fuch power of diiTolving the gluten of animal fibres, as acids have; for, if the cffedt depended only on the adtion of the acids by themfelves, the fleOi would rather have been diffolved when immerfed in them, than when boiled in water. — The Dodor befides feems not quite confident on this head ; for, p. 1 51, he fays, “ Adflringents can only ‘‘ be of importance in thole cafes, where, from “ extreme relaxation and refolution of the folids, the “ diffolved fluids are fuffered to tranfude, and either “ form fpots of different hues, or run off by adtual “ haemorrhage ; here, indeed, the acid of vitriol, as an aflringent, not as an acid, is found of great ufe “ in gaining time.” As the acid could not exert its aflringent power on the veflels, without coming to the fecund^ vice (p. 153.) he feems not afraid, in this cafe, of its melting down the mod folid parts to a jelly. In proof of his third reaforiy he alledges fome experiments ; viz< the third, p. 40, where a mixture ot Jiejh, bread, lemon juice, and faliva, did not effer- vefce, after fermentation with an alcali ; and the 5th, [«] This has, it feems, happened in fom$ rare cafes quoted by Dr. M‘Bride, and Dr. Haller, p. 148. p. 42, [ 342 ] p. 42, where a mixture of bread, water, faliva, and Ipirit of vitriol effervefced fmartly, before the in- tefbne motion j but not at all after it. I could obiedt againft thefe experiments, and efpecially the 5th, that perhaps the proportion of the faliva to the acid was too great, and that a perfon in a putrid difeafc ought to take more .acids than could be neu- tralized by the inquiline liquors. However, I will not infift on this ; and fuppofe thefe experiments to be quite applicable to the cafe : but if thefe mixtures do not effervefee any more, does it follow, '' that “ they are neutralized, and therefore adt as acids, by faturating any thing of the alcalinous kind, that “ they meet with, in their courfe of circulation r” There are fome faline bodies, which do not effer- vefee when mixed together } which will, however, change one another’s nature. Thus J'. e. brimftone, mixed with a flrong fixed alcali, does not effer- vefee [(?], but changes, on being diffolved, the nature of the alcali. A folution of foap does not effervefe on the addition of an acid, but joins with the acid, and neutralizes it. Thefe inffances made me fuf- pedt the conclufion drawn by Dr. M‘Bride from his experiments; and to clear up thefe doubts, in this par- ticular cafe, I referred to experiments. For this purpofe, I mixed, the 4th of Augufl, the thermometer being at 64®, three ounces of faliva, a dram of the liquor of f i] This applies alfo to the folution of brimftone In limewater, (HU of which the lime particles have been precipitated, by the intodudtion of fixed air. putrid C'3'4'3'f] putrid flefli, and a very fmall quanj:[ty of bread : and added as much of the diluted fpirit of yitriol, as to make dt four, and effervefce definitely with the alcali. There was not any fign of inteftine motion till the 7th of Auguft, w'hen from time to time fome air bubbles, and alfo fome folid particles, rofe to the top ; and this continued till the 8th. Not per- ceiving any farther motion, I poured off' the clear liquor, which did not effervefce any more with the alcali. I mixed, the 9th, fix drams of the putrid liquamen, with about the double of this liquor, and put in befides four folid pieces of flefii, which had lain three days in the liquamen ; thele- pieces were of a prodigious flench, and fo rotten, that with the lead force they were torn to pieces.. There appeared no figns of intefiine motion : the- loth, the putrid fmell was very much abated: the iith, it was changed, and there remained only a fmell much like that of found flefii : the pieces were- without any fmell,. and had acquired again fome degree of firmnefs. In this condition they re- mained for a week, and I did not obferve them, any longer. I'his experiment proves, I believe, v that acids,, though changed in the alimentary canal fo far,,, as not to effervefce with alcalies, may notwithftanding, check putrefa^ffion ; and that, therefore, their ufe ia- of great confequence, and ought not to be omitted jn putrid difeafes. Though Dr, 'M'Bride believes that thcfc difeafes may be cured with fermentable lubflances only ; I muff own that Ido nc-t agree with him, and ana not quite convinced of his opi- VoL. LXL. X X 4, mon„ [ 34+ ] nion, that putrefadion depends only on the lofs of fixed air. 1 rather believe this an efiedt than the caufe of putrefadlion j but I lhall refer this lubjedt to another occafion. END OF PART I. PHILOSOPHICAL TRANSACTIOxNP V^)LUME LXL PART 11. .1 i ■ ■ ' vC ITa/v^MAiiTI i ♦ '-. • vi'-v5‘o i ' O ••; 1 ; j i; , . ] iJ / V r J '‘1 ir . - ,< . » f ■ , I •• ■— ^ i A n ^.- -.i. - - » .« f •i T 1 .? J i '■'1 V I - ' J < :■ , f . • 7 !f-?. :;! V' JL r ' t*- > m; I ii .G j*,- O' 1 : l'' :H{j ■ *r ‘ : •- f;t * ‘ • - U ,*, , . *rir: V ■; 1.^... *. i:3 mIi lij : .’ ■/ . . j !) 7 . . ' • ' i t 4 I ir^ ■ • Vt 'o-.l V. i ' — T)l V, •„ I . iL’i-‘" V. j! .1 i".. o» O vi •■? I , A \ * : !: 07 •. . "•']'l !»•, V* L^ :.Y .^ I PHILOSOPHICAL TRANSACTIONS. Part II. ' XL. Ohfey'vations upon Five antient Perfian Coins, ftruck in Paleftine, or Phoenicia, before the T)iffolutio7i of tht Perfian Empire. In a Letter to Mathew Maty, M. D. Sec. R. S. fro7?i the Rev. John Swinton, B. D. F. R. S. Cufos Archivorum of the dniverfity of Oxford, Member of the Acade?ny degli Apatifti at Florence, and of the Etrufcan Academy of Cor- tona in Tufcany. SIR, Read June 20, ^ | H E coins before me, as well as fe- 1771* Jl^ veral others limilar to them, were' undoubtedly llruck, in fome of the cities of Syria, Paleftine, or Phoenicia, before the reduction of thofe provinces, and the conqueft of the Perftan empire, by Alexander the Great. This, if I am not mif- taken, was flrft remarked by ( i) M. Baudelot j who has been lately followed herein by (2) M. I’Abbe Barthelemy, and (3) M. Pellerin. I intirely agree whith all thofe learned men in what they have ad- vanced relative to thofe coins, and fhall now beg leave to fubmit a few curfory obfervations upon five of them (as the fubjedl is extremely curious) to the con- deration of the Royal Society j which may poflibly (1) Baudel. VUtillt. des voyag. See. p. 638. A Paris, 1693. (2) 'Journ. des Sfav. See. X. LIII, Aout, 1760. p. 279, 280. (3) eWer. Recueit de Medail. de Rois, Sec, Explicat. de la Vignette, p. iil. iv. A Paris, 1762. VoL. LXI. Y y ferve ferve to evince the truth of what has been offered by thofe celebrated antiquaries, on this head, and fet this matter in the clearefl light. • I. The firft of the medals to be confidered here (fee Tab.’XIII. n. I.) was given me fome years fince, by my worthy friend, the Reverend and learned Mr.. Thomas Crofts, late chaplain to the Britifli factory at Aleppo, and formerly of Wadham College, Oxford j who brought it with him to England, out of the EafI:.. On one fide we difcover Atergatis, Adergatis, or Der- ceto, taken by feveral learned (4) men, for the Dagon- of Scripture, nearly as we find that pagan divinity defcribed (5) by Diodorus Siculus, and Lucian, with a pigeon before her, and a fifh in her right hand. On the other, we perceive a galley, or fmall veflel, on the fea, with rowers in it ; under which there appears a fea-horfe, or rather a fea-monfter, of a very parti- cular form. Near the face of Adergatis, the two Phoenician letters 'p MA, prefent themfelves to our view. The piece is in good confervation, having fuffered very little from the injuries of time. That this filver medal muft have been anterior to the diffolution of the Perfian empire, we may fairly coiled from the reverfe j which agrees in_ every par- • ticular, but the fea-horfe, with the reverfe of a Daric, that undoubtedly preceded the abovementioned event, and exhibits the very fame Phoenician letters, with which it is adorned. But this will be rendered in- conteftabie by a bare inTpedtion of the draught of that (4) Seld. di Dils Syris., Syntagm. II, cap.- iii. Anclr. Beyer, ad Joli. Seld. ubi fup. p. 300. (5) Diod. Sic. Bihl. Hiji. \\h. II. T.ncian dj Dca Syr. apud Johan. Sdden. ubi I’up. Vid. Athcn. Dd^nofopk, Ub. V'lll. Daric,, [ 3+7 ] Daric, and others of fimilar coins, in the (6) plate referred to here. That this piece was ftruck at Afcalon, a very an- tient and celebrated city of Paleftine, there is, I think, little reafon to doubt. Dagon, or Atergatis, was a deity of the Philiftines, to whom Afcalon ap- pertained, as we learn from (7) Scripture; and there- fore may very naturally be fuppofed to have been worlhiped there, as well as in the other principal cities belonging to that people. We are alTured by (8) Diodorus Siculus, and Lucian, that Afcalon was famous for the worfhip of Atergatis, or Derceto; and the fuperb temple of that deity there. The coins of Afcalon (9) not infrequently exhibit Ater- gatis, with a pigeon, as here; pigeons (10), as well as filhes, having been conlidered as facred animals, bearing a near relation to Atergatis, if not as objedts of religious worlhip, in that city. The reafon of this is given us in few words, by a (i i) very learned author, who fets the point here infilled on beyond difpute. I own, indeed, the divinity in quellion is faid to have had a temple at Hierapolis, and to have been worlhiped there; but this, according to the great (12) Mr. Selden, feems to be a millake. Be- lides, the goddefs of Hierapolis was worlhiped un- der (13) a human form, and not with the tail of a (6) Numifm, Antiqu. &c. a Thom. Pemb. et Mont. Gom. Com. collect, p. 2. T. 75. (7) I Sam. y. 2, 3, 4, 5, &c. (8) Diod. Sic. & Lucian, ubi fup. (9) Joan. Vaill. Nnmifm. Imperator, &c. a Pop, Rom. Dit, Grace loquent. l^c, p. 8i. Henr. Noris, An. et Epoch, Syra~ Maced. p. 510. Lipfiae, 1696. (10) Joh. Selden. ubi fup. p. 192 — 202. Amftelodami, 1680. (n) Id. ibid. (12) Seld. ubi fup. p, 192. (13) Id. ibid. [ 348 ] lifli, as Derceto is reprefented on the medal I am confidering. Nor do 1 remember ever to have feen Atergatis, or Derceto, in that form, or attended by a fidi and a pigeon, as on my medal, on any of the Hierapolitan coins. Laftly, I have a brafs medal of Afcalon (fee Tab. XIII. n.2.), in my fmall colledlion,.. with a galley, or little velTel, on the water, and rowers in it, as we find exhibited by the piece before me, over which the two Greek letters A'^ plainly appear ; which feems moft clearly to evince, at leaft the high proba- bility of, the point in view. It mufi: therefore be allowed extremely probable, if not abfolutely certain,, that the coin confidered here was ftruck at Afcalon, though current throughout Syria, Paleftine, and Phoenicia, before the redndtion* of thofe provinces by the arms of Alexander the Great. As no chronological charadters on the piece in queftion prefent themfelves to our view, it will be extremely difficult, if not impradficable, to afeertain, with any precifion, the time when it firfi: appeared. However, I cannot help thinking it probable, that the coin was firuck about 351 years before the birth of Christ, when the (14) provinces of Palefiine and Phoenicia were fubdued by Artaxerxes Ochus,. foon after they had revolted from him. The people of thofe provinces might then have ufed money fimilar, at lead in fome refpedfs, to that which was current in Perfia, either out of compliment to, or by the pofitive order of, that prince. This, 1 fay, might not improbably have been the cafe ; but that it really was fo, I muff not prefume abfolutely to affirm. Be this, however, as it will, a circuinflance (14) Diod. Sk.BibL Hif, Lib. XVI. 3 will [ 349 ] will occur, In the explication of the fourth medal to be confidered here,, that will bring no fmall acceffion of hrength to the notion I would now recommend to the attention of the learned world. With regard to the two Phoenician letters exhi- bited by this coin, they feem either to form the word N'D, MA, which in Phoenician not improbably denoted WATER, or the SEA, (15) as in Arabic, or to be the two firft elements of the word MAIVMA, in Syriac (16) fignifying likewife WATER, the name of the port and place of the magazine of naval ffores, fuch a port and place having formerly apper- tained both to Afcalon(i7) and Gaza. For thofe two Phoenician letters, preferved on many medals, (18) can fcarce always be looked upon either as the whole or part of the proper name of the place where the coins were Ifruck, as they feem firfl to have ap- ' peared in different towns j though it muft be owned,, that MAIVMA, as applied to the ports of Afcalon and Gaza, was (19) confidered as the proper name of a town, erefted at a fmall diftance from each of thofe two cities. However, I fhould rather take the word MA to have denoted WATER, or THE SEA, as a fmall veffel on the fea is vifible on thefe coins, and the word MAIVMA, as applicable to the ports of Afcalon and Gaza, feems not to have (20) been ufed long before the time of Conftantine the Great: (15) Go!. Lex. Arab. p. 210. Val. Schind. Lex. Pent, p.994.. Hanoviae, 16 1 2. (16) Gothofred. apud Henric. Noris, ubi fup. p, 511. ( 17) Sozom. Lib. ii. c. Henr. Noris, ubi fup. p- 5 1 1, 512. (18) Numiftn. Jntiqu. See. « Thom. Pemb. Mont. Goin. Com. colleif. p. 2. T. 75. n. 7, 8. (19) Henr. Noris,. ubi fup. p. 511. (20) Id, ibid. unleik [ 35° ] unlefs we would luppofe it to denote AN HVN- DRED, and to refer to fome remarkable occurrence, from whence the Perfians dated their computation of time, in the days of Ochus, to us at prefent utterly unknown. n. The fecond medal (fee Tab. XIII. n, 3.) I receiv- ed, as a prefent, from the Reverend and learned Mr. Crofts, who brought it with him from Syria, at the lame time that he gave me the firft. Atergatis, or Der- ceto, on this filver piece, holds a concha -marina^ or fea- Ihell, in her left hand ; but, in all other refpeds, it is fo limilar to the former as fufficiently appears from the draughts of them both, that it may almoft, if not abib- lutely, pafs for a duplicate of the fame coin. The piece, how’ever, has been but indifferently preferved ; fo that without the affiflance of the medal already defcribed, it would have been of no great fervice to the learned world. As the two Phoenician charadlers, that occur on the firft medal, have been intirely defaced on this, by the injuries of time, I can offer nothing relative to them here. It may not, however, be improper to obferve, that neither this nor the former medal has yet, as far as I can find, been ever communicated to the learned world. III. The third medal (fee Tab. XIII. n. 4.) is a very fmall filver piece, and was prefented to me by my worthy and learned friend, the Reverend Mr. Thomas Crofts, who brought it with the other two, above de- fcribed, out of the Eaft. The reverfe, which exhibits the two Phoenician elements MA, and a galley, 2 or C 35« ] or fmall veflel, full of rowers, on the water, almoftin- tirely agrees with that of two Perfian Darics (21), as will appear from an infpedion of the draughts ot them, in the plate here referred to. This indicates the piece to have been flruck in Paleftine, or Phoe- nicia, before the didblution of the Perfian empire, probably at the fame time that the two former firft appeared. On the other fide we obfervea laureated antient head, which I take to reprefent Jupiter Mamas, a deity worfhiped (22) at Gaza, a celebrated antient city, at no great didance, 3 parafangs only, from Afcalon ; who might therefore probably have had divine honours paid him there, as well as at Gaza j and confequently we may attribute the coin to either of thofe cities, though, on account of the head of Jupiter Mamas, I ihould rather prefer Gaza. This, I fay, appears to me extremely probable ; but that either the laureated head really reprefents Jupiter Mamas, or the piece was certainly druck at Gaza, I mud by no means take upon me abfolutely to decide. If the head on this medal diould not be imagined to point out Jupiter Mamas,, the Local deity wor- diiped at Gaza, it may perhaps be fuppofed to re- prefent fome hero, or the founder of Afcalon, or Gaza. Be that, however, as it will, as either this very coin, or one exceedingly dmilar to it, has a place alUgned it in (23) Lord Pembroke’s noble colledion, it can fcarce be allowed to pafs for an inedlted coin. (21) Numlf/n, Antiqu. Uc. a Tho. Pemb. lA Mont. Gom. Com. colleii. p. 2. T. 75. n. 7, 8. (22) Hear. Nor. ubi fup. p. 454. Golii not. ad Alfragan. p. 142. (23) Numifnu Antiqu, 5cc. ubi fup. p. 2. T. 75. n. 8. IV. C 352 3 IV. The fourth (fee Tab. XIII. n, 5.) is a fmall brafs medal, that may pafs for an inedited coin, though one not unlike it has been publill'ied by M. Baudelot. On one fide a human figure, that probably repre- fents a king of Perfia, with a Perfian tiara on its head, in a triumphal car, drawn by two horfes, and driven by a fimilar figure, with a Perfian tiara likewife on its head, prefects itfelf to our view. On the other, a velTel navigated by rowers, refembling that exhibited by the three foregoing coins, may be clearly difcern- ed. The piece has been well preferved, and w’as undoubtedly anterior to the redudion of Syria and Phoenicia by Alexander the Great. For that the perfon in the car is a Perfian, we may infer from the tiara on his head, which occurs on the heads of feve- ral Perfian figures (24) in the ruins of Perfepolis ; and that he was a royal perfonage, appears from hence, that the kings of Perfia only had their effigies imprefl: on the Perfian coins. It is true, fbme of the figures in the ruins of Perfepolis are the produce of the Parthian times, and feveral of them even coeval with fome of the princes of the houfe of Saifan, and confequently of flill a later date. But, notwith- flanding this, the figures now in view were un- doubtedly Perfian, and fully evince the point they are brought to prove ; but had they been Parthian, that would have made no alteration in the prefent cafe, as the Perfians and the Parthians ought to be confidered as one and the fame nation, and their attire as one and the fame. (24) Engelbert. Kasmpfer. AmcenUat, ExotUar, Fafcic. p. 345, 312, 340, &c. Lemgovise, 1712. That C 3 53 ] That the piece theji was ftruck in Paleftine, or Phoenicia, vvhilih under the domination of the Perfians, there is, I think, little reafon to doubt j though it may, perhaps, be not altogether fo eafy to afeertain, with any precifion, the time when it firfl: appeared. There is, however, one period, and one only, as I apprehend, in the Perhan hiftory, to which this may, with the dridieft propriety, be re- terred ; and that is, immediately after the reduftion of Sidon, by Artaxerxes Och.us, when the Phoeni- cians, who had before entered into an alliance with Nedanebus, king of Egypt, and afferted their independency, made their (25) fubmidion to him. This happened in the year of the Julian period 4363, about 351 years before the (26) birth of Chrifl. That prince having then intirely fub- dued the Phoenicians, v.?ho had revolted from him, and reinforced his army with a body of looco Greeks, refumed his defign of invading Egypt; and, (27) after the furrender of Jericho, probably advanced at the head of his forces to Afcalon and Gaza, through which he might have paffed, on his route to that country, though he feems to have un- dertaken the Egyptian expedition, or rather to have entered Egypt, the following year. Upon his arri- val at Afcalon, he may naturally be fuppofed to have- llmck fome of the pieces, at lead, conhdered here; and particularly that which is the prefent objeft of my at- tention, with the reprefentatioa of a Perfian king, in a triumphal car, upon it. For this mud: feem naturally to liavc announced the intire redodion of Syria and, Phoenicia, that had juft before fubmitted to him.. (25) Diod. Sir. ubi fup. (26) Jac. Ufler. Anml. ad An. Jul. Period. 4363. p. 146, t47. Geneva', 1722. (27) Sniin. cap. 33. VTl. LXL Z z [ 35+ ] As therefore the coins in queftion are found In (28), and come from, thofe parts of the Eaft ; I would willingly flatter myfelf, that what is here advanced will meet with the approbation of the learned. There is one farther circumftance relative to this coin, which mufl: not be omitted here. Over the Perfian monarch’s head, at a fmall diftance from it, we may eafily difcover a kind of letter (29), not apper- taining, as it fhould feem, to the Phoenician alphabet ; which, as I apprehend, may be taken for an antient Perflc character. It not a little refembles that en- dued with the power of the fhort A, deduced from the Zend and Pazend, by (30) Dr. Hyde; as alfo (28) Peller. ubi fup. (29) This coin feems to have been ftruck either at Afcalon, Gaza,orAcco; as moft of the fimilar coins hitherto publifhed probably firft appeared in one of thofe cities. But the names of all thofe places begin with an not an Aleph^ and therefore the charadler in quell ion cannot be fuppofed to have appertained to any of thofe names. Whereas Ardfhir, Ardfchir, or Artaxerxes, the name of the king, in whofe reign the coin feems to have been ftruck, has for its firft letter, an Aleph^ not an Am ; and therefore the character on this piece may be pre- fumed, after what has been faid, to point at that name. And this will be rendered ftill more probable by the pofition of the Perlian charadter I am here confidering. It is placed over the head of the great perfonage in the triumphal car, or rather almoft: contiguous to the tiara with which it is covered. This appears to me almoft decifive in favour of what is here advanced. If any learned man, however, fhould diftent from me in this par- ticular, I ftiall not quarrel with him for adhering to his own opinion. Baudel. Peller. pafT. Barthel. Schikard. Profap. Perf. Proem, et alib, Tubingte, 1628. (30) Vid. Lit. in Libr. Zend & Pazend, juxta apographum D, Hyde, ufttat. &c. apud D. Hyd. in Hijf. RcUg. Vet. Perf. Ed. Oxon. 1760. Memoir de Litterat. Tom. XXXI. p. 358. A Paris, 1768. That the Perftans ufed the Aftyrian letters in the days of Herodotus, we learn from that celebrated hiftorian. But, notwithftanding this, they might likewife have ufed other antient alphabetic charadlers, at leaft in feme part of the inter- twe [ 355 ] two Others belonging to two of the antient Perllan al Chamasmorus minor repens C.B, ? Plentifully on a wall of the caftle at Whittington, Salop. Ghamaemorus Gerard has the Knot or Cloudberry twice, under the feveral articles of Ghamaemorus and Vacinia nubisj and in Phyt. Brit, it is feverally underftood’ under thofe of Ghamaemorus, Ger. and Vaccinia nubis, Ger. et Ghamaemorus ejufdem, the former of which, ac- cording to Gerard and Phyt. Brit, after him, is “ upon Stanmore, . between Yorklhire and Weft- “ moreland,’’ the other, according to Ph. Brit. “ upon the tops of the high mountains both of the “ North and in Wales.” Parkinfon makes two fpecies or varieties of Ghamaemorus, viz.. Ghamaemorus Anglica, and Ghamaemorus Cambro-Britannica,five Lancaflrenfe Vaccinium nubis, and fays, “ Dr. L’Obel found the laft growing in Wales, and the (hires near' “ thereunto, as well as in Lancalhire:” but L’Obcl has not given a figure of either. Parkinfon’s figure of the former is like that of Rubo Idaso minori aifinis Ghamaemorus J. B. Ghildrey, [ 366 ] Childrey, In Brit. Bac. fays, the Cloudefberry is peculiar to the top of Pendle-hill in Lancafhire, and I do not know that any later author places it in Wales. Upon the lOth of Auguft laft, I found about Cader Vron-wen, the higheft point of Berwin’ mountains, in Denbighdiire, one fpecies of Cha- inasmorus in vaft abundance. The principal ftalks, and the bofoms or wings of the footftalks of the leaves, were like thole of the figure men- tioned ; but the leaves like thofe of Chamaemorus Cambro-Britannica Park, The calix, or rather the perianthemum, in fome plants, had five, in others only four divifions. Not only the flowers were paft, but the berries were fallen or had been gathered. Clematitis fylv. latifol. five Viorna Park. “ Ubique “ in fepibus,’* Merr. Pin. I have not obferved it more Northward than between Stouton and Per- fliore, Worceflerfhire j and between Plumb-park corner and Cuttle-mill, Northamptonfhire. Cochlearia rotundifol. minima. Park* In the grafs, near the top of Snowdon. Conyza major Matthioli, five Baccharis quibufdam, J. B. More fparingly in thefe than In the more Southern counties. In the inner court, and the walls above the leads of the caftle of Ludlow, Salop, and along the highways, many miles about that town ; alfo about Stretton in that county : in the road about a quarter of a mile from Denbigh toward Llanfanan, and on a rock almofl: at the bottom of Snowdon (near Llyn, fynnon glas). Conyza [ 367 J ' Conyza paluilrls ferratifol. C. B. paluftrls major Park. By the Eaftern fide of the river Dee, juft above Eaton-boat, Chefhire, fparingly. Coronopus vulgaris five Cornu cervinum, Park. In this part of the county, I have not feen it far from the fea. Cratregus fol. laciniato Tourn. Sorbus torminalis, C. B. ' Crataegus fol. fubrotundo, ferrato, fubtus incano Tourn. Sorbus fylveftris Aria Theophrafti didla. Park. I have not obferved either this or the former in this part of the kingdom ; though Gerard fays, Sorbus (he feems to mean Sorbus fativa, CB. which is ftill more rare, if at all of natural growth in this land) and Sorbus tormina- lis grow “ in woods and groves, in moft places ‘‘ of England.” Crataegus Fennica Kalmii, Lin. FI. Suec. On the wall of Caftell Dinas bran, Denbighfhire, two plants in 1764, and in 1770, a few younger, but. the larger of the two former then dead. Cruciata vulgaris. Park. From fome particular native places mentioned by authors, it feems not. to be common in the counties about London : but there is fcarcely any herb' more fo in this part of the kingdom. Cyanus fl. albo, maculis coeruleis five purpureis no- tato, ftaminibus coeruleis. About St. Edmund’s- bury. Cymbalaria, C. B. On many walls, befide thofe al- ready mentioned, by the Thames-fide j particular- ly from Mill-bank to Weftminfter-bridge, and at Lambeth, oppofite : at-^the Savoy,, and on Somer- fet-houfe ' , t 368 ] fet-houfe garden-wall. On the brick-walls at Brinkinnalt, the feat of lord Dungannon, in Den- bighfhire, abundantly. I could learn only, that it was known to have been there above fifty years. Dipfacus minor feu Virga paftoris, Ter. Emac. In humidis et aquofis, ad fepes et rivulos.” R. Syn. We have it hereabout, and I have feen it in a few places in Denbighfiiire and Shroptlrire. It is ■ however far from being general. Echium vulgare, J. B. &c. “ Secus vias et femitas, ‘‘ inque muris non raro, et arvis fterilioribus nimis “ etiam frequens.” R. Syn. By the road-fidc, about a mile from Hamftead (toward Wolver- hampton) StafFordihire, and at Wrine-hill, Che- fliire j not elfe where, that I have feen, nearer this way, than Broadway-hill, Worcefierlhire. Elaphobofcum Matth. By the fides of Stanny-brook, in many places toward Ince, Chelhire. Equifetum (ylvaticum tenuifiimis fetis, C. B. By the road-fide (between Trevalin and Hope, Flintlhire) in the townfhip of Llai, Denbighfiiire. -Erica vulgaris hirfutior. Park. That on one of the Camp-hills, StafFordihire, feems to be intirely fuch (though not on the adjoining hills), and it is very frequent, with the common fort, in many other places. Erica baccifera procumbens nigra, C. B. On Sala-' tin-mountain, Salop; on the dried: parts only of the mountain called Gwern-to in Flintfliire, and on the bog at Willowbridge, StafFordfliire. -Euonimus vulgaris. Park. “ In fepibus frequens.” R. Hift. It is very infrequent this way. I have Jeen it growing lingly, not in many places, in Shropfhirc, [ 3^9 3 Shropihire, and in one place only In this county of Flint. Fagus, Park. “ This grovveth through moft woods in England.” Park. Not through many in this ’ part of England, though I have fomedmes, even this way, feen a young tree, fpring from the fallen inaft, among old ones, that had been planted i and this being more frequently the cafe in fame parts, where the foil is more fuitable, the obfer- vation of Caefar may ftill be juft, that in his time there were not any trees of this kind in Britain. Flos Adonis, Park. Plentifully on the ground among the ruins of the Abbey, at St. Edmund’s- bury. Foeniculum fylveftre. Park. & vulgare ejufdem ; for according to R. Hift. they do not differ. On the caftle-bank at Shrewlbury \ in the trench within the caftle of Ruthin ; about the gravel-pit at Hyde-park corner; and in the year 1756, almoft all over the church-yard of Warden in the ille of Shepey. Frangula five Alnus nigra baccifera, Park. “ In “ fylvofis, udis perfa3pe reperitur.” R. Hift. Though pretty common in fuch places about London, and in fome parts of Kent, efpecially about Tunbridge-town and Wells, I have not ob- ferved it this way, except in the coppice, called the park, at Willowbridge, Staffordfliire, where there is a good deal of it in a very dry gravelly foil. Fumariacum capreolis, J. B._ On Caergwrle caftle- hill, and on other hills there-about in this county; on the Wreken, and on Arcal-hill, near it; under -a rock in the Foreft De-la-mer, and on VoL. LXI. B b b Hel% [ 370 '] « Helfby Tor, and moft abundantly among the oak-bu£hes on two fmall hills at the foot of the Tor, Chefhire. It ftill grows where Mr, Ray obferved it, near Bala, and alfo in many hedges about that town and neighbourhood; and ‘ in and about Dolgelle, the roofs of many build- ings are covered with it. Fungus albusovum referens R. Syn. oviformis Merr. ovatus, J. B. Martyn, in his Tranllation, &c. of Tournefort’s Hiftoire des Plantes aux env. de Paris, fays, he found it in great plenty at Chefterton, in May, and J. Bauhin fays, it appears in April. We have it plentifully every year on the grafs-plots about this houfe, and I have feen it in two places in Denbighfliire ; but never earlier than Septem- ber, or later than November. Fungus mufcarius, Park. Fungi mufcas interficlentis 4. fpecies, C. B. &c. R. Hift. venenati, mufcarii di£li, quarta et elegantiflima fpecies J. B. About two beech-trees on the common oppofite to Hayes near Ofweftry, Salop ; on Auger-heath, Cheflaire ; and moft abundantly in a grove at the top of lord Chetwynd’s garden at Mare, or Meer, Stafford- fhire, and in the coppice, called the park, at Willowbridge in that county ; in Odtober. This is the moft beautiful Fungus, I have feen;, and I do not know that it has before been men- tioned as of this land, though Parkinfon generally fays, “ in the woods that have been felled." Per- haps this, that I have met with, is a variety of the above cited authors ; for the ftrias, or lamella?, are white ; whereas, according to J, Bauhin and Mr. Ray, they are black ; and the pedicle, of which C 371 ] which they give us only the dlmenfions, is alfo w'hite. Fungus angulofus et velut in l^Jcinias re in 'the Park at Willow bridge, and on Heyley-cafUe-bank, Staf- fordfhire. Fungus pyriformis, Merr. Pin. In paftures hereabout. September. Fungus pulverulentus, Crepitus Lupi didus, major, pediculo longiorc ventricofo, R. Syn, In paftures hereabout, at the end of March, and in Septem- ber. Fungus phalloides, J. B. ftetidus, penis imaginem re- ferens, C. B. 1 fuppofe, it is common in Septem- ber, in moft counties, though oftener fcented than feen. It is hereabout known by the Welfli name, Gingrocn, or Cingroen. Gtniftelk tindoria, Ger. “ In pafeuis nimis fre- ^ quons.” R, Sya.' I have not fcen of it in this 2 county C 373 3 county, though I have often in thofe of Chefter and Stafford. Geniftella aculeata, Park. Not fo frequent this way as about London. Abundantly about Horton, near Malpas, Chefhire, and between Dolgelle and Feftiniog. Gentianella fugax autumnalis elatlor, Centaurii mi- noris foliis, R. Syn. Variat floris colore, carneo, coeruleo, albo. On the bank at Clomendy in Llanveras, Denbighfhire. It feems to differ only in fize from Gentianella autumnalis Centaurias minoris foliis Park. Geranium batrachoides, J. B. In the field, which is next above the bridge, called Pont-llong, and be- tween the rivers Alen and Terrig in this townfhip, Leefwood j on the bank at Clomendy in Llanveras, and in the church -yard of Llanveras, Denbigh- fhire, and mofi abundantly about the Derbyfliire end of Burton-bridge. Groffularia, Park. Not unfrequently in hedges and thickets and upon walls. Helenium, five Enula campana, J. B. I have feen it in a few fields in this county j in fome wafte places about Frelh-water, and elfewhere, in the Ifle of Wight; but no where fb plentifully as in the fields and lanes about Aber in Carnarvonfliire. Herba Paris, J. B. Sparingly in a wood in Treithin, and in one in Broncoed, both near this place, with 4, 5, and 6, leaves. Hippofeiinum five Smyrnium vulgare. Park. ^ In “ mofi: places of England.” Ger. It is certainly very rare, I have feen of it only in the two inner courts of the cafile of Ludlow, Salop ; near St, Edmund’s- [ 37+ 3 Edmund’s-bury, in a field at the angle between two roads leading to Newmarket and Farnham, where it grov/s abundantly; between the tov/n and cliff of Harwich, as mentioned -by Mr. Dale; and Iparingly by the Thames-fide between the planks fupporting the bank at Slangate, Lambeih. llorminum fylv. Lavenduls flore, C. B. “ In gla- “ reofis frequens.” R. Syn. In this part of the kingdom I have fecn it only on Denbigh cafile hill. Hypericum pulchrum Traji, J, B. Plentifully on the hills about Cader Uronwen, Denbighfhire. Hypericum maximum, Androfa:mum vulgare diftum ■R. Syn. In a thicket at Hays, Salop, and elfe- where; but not common. Hypericum elegantiflimum non ramofum folio lato, J. B. Upon an hour’s fearch, I found only two plants of it, where Mr. Ray obferved it near Denbigh. Juniperus vulgaris baccis parvis purpureis, J. B. I have not feen it more Northward than between Woodlfock and Enfion, though I have heard that it grows on fome mountains in Wales; nor could I find Juniperus Alpina, J. B. upon Snowdon, where we read it grows. Laureola, Park. “ In fylvis et fepibus fatls frequens,” R. Hift. Though frequent in fome counties; I have not feen it this way. Liguftrum, J. B. “ In fylvis, vepretis et fepibus fre- “ quens.” R. Hifi:. It feems to be rare in thefe counties. In fome hedges about Bridgenorth, Salop; between Ivetfea-bank and Canock-heath, Staffordfhire. I have feen only three or four fhrubs, and thefe in one hedge, in this county of Flint. Litho- . [ 375 ] Lithofpermum majiis ereftiim, C. B. ** Ad vias et “ fepes.” Cat. Angl. I have met with it but twice in this county, and not often elfewhere. Lychnis, Saponaria dida, R. Syn. Among the ruins of the monaftery at Greenfield in this county ; on the caftle-hill at Denbigh; by the road- fide be- tween Llanamonerch and the new-bridge, Salop, and in a gravel-pit near the end of St. Edmund’s- bury, toward Sudbury. Lyfimachia purpurea trifol. caule hexagono Spigel. Ifag, Much more frequent than the quadrangular about Ince, Thornton, Stoke, and Stanny, Chefhire. Some of the ftaLks are pentagonal, and have their leaves fingly at the joints, alternate. The quad- rangular have only two oppofite leaves. I have alfo obfeived fome diftindtly heptagonal ; appa- rently only fo, with four leaves at a joint : but I fufpedl that they were in reality odlagonal. All the other varieties frequently rife from one root. Lyfimachia lutea, J B, By Thornton-brook in two places between the Mill and Ince-common, Che- fhire. The fide flioots in pairs, in threes, and in fours: but fo, as far as I obferved, indifferent plants. Lyfimachia fpeciofa, quibufdam Onagra didta, fili- quofa, J. B. . Chamaenerion flore Ddphinii, Park. . Par. On the left fide of the hollow road juft beyond Knowles-park, between Sevenoak and Tunbridge. Mentha cattaria, J. B. It is common in a chalky foil : but of thefe counties I have obferved it only in Shropfhire, and there about Shifnal, Norton, Atcham, Neffcliff, Ofweflry, and on the brow of the [ 376 ] the hill above the river Ceiriog on the road from Ofvveftry to Chirk, Mentbaftrum fol. rugofo rotundiore fpontaneum, fl, fpicato, odore gravi, J. B. By the high- way «lidc near, and Southward of, this houfe, plentifully. Menthalfrum fpicatum fol. longiore candicante, J. B. By the brook-fide, in a field called Maes-Madoc ilTa, near this place, plentifully. Mefpilus vulgaris, J. B. Between Tunbridge- town and wells, and I heard it was common in woods thereabouts. Myrrhis major, vel CIcutaria odorata, C.B. magno femine, longo, fulcato, J. B. Major, five vulgaris, Park. In Hafiia circa Calfellas fponte provenirc Myrrhidem referebat Gilleniiis. Hsec, ut ait Lobelius, nonadeofrequensaut procera occurrir, “ fed raro et in pratis, Fertur autem apud Ger- ‘‘ manos in pratis alicubi nafei, Dodonaeo perhi- bente, ciim apud Belgos hortenfis tantummodo “ fit.” I. Bauhin. “ It is thought to grow wild in fome fields In “ Germany j but I doubt the report.” &c. -Park. Theat. Dr. Hill, in Br. Herb, has given a figure of garden Myrrhis, and alfo one of garden Chervill. It is hard to know which he intends for this. The firfl he has left undeferibed : the other he has given fome account of, under the name of Chx- rophyllum fativum, which, he fays, is fo called by C. Bauhine, and, by our gardeners. Sweet Fern. But Chaerophilum fativum, C.B, is an annual. This, though E 377 ] though the flialks are annually removed, has a per- ennial root. “ In the forellof Savernac (Wilts) grows a kind of fvveet fern.” Brit. Bac. Whatever that may be. This grows plentifully here for the length of about 300 yards on both lides of the brook Terrig, in a field called Y Parki, and fparingly by the fame brook, at a confiderable diftance below, in a field called Maes-Madoc. The foil of a dry fand, but fometimes overflown, I have alfo feen it fparingly in the church -yard at Kilken, .in this county, and abundantly among the ruins of the Abbey of Llanegwafi or de Valle crucis, in Den- big hfii ire. Myrtus Brabantica, five Elceagnus Cordi Ger. On a bog near the road from Mold to Northop, in this county ; and on one near the Decoy, between Ofweftry and Babln’s-wood, Salop. Narcifllts fylv. pallidus calyce luteo, C. B. 1 have feen it often in wafte places j but never, as I re- member, far from a houfe. Oenanthe aquatica minor. Park. Common in marfli ditches, and there I’eem to be fome varieties of it. Orobanche, five Rapum Geniflte, Ger. &c. “ Not “ to be found, but where broom doth grow.” Ger. “ More often where no broom groweth.” Park. I have not feen it in this neighbourhood, where we have no broom : but it may be found at Hayes in Shropfliire, with broom, and very plentifully with furze, where there is no broom, over the fand rocks at I nee in Chefhire. VoL. LXI. C c c Pedicularis [ 3?8 J Pedicularls pratenfis fl. candidis, C. B. quibufdani Crida galli flore albo, J. B. Hereabout, and elfe- where, with the common red fort, fparingly. Pentaphyllum, vel potius Heptaphyllum, fl. rubro, J. B. “ No where near London." Martyn on Tourn. Par. On the bog at Willowbridge, Staf- fordfhire; and on the mofs near Hampton, Salop. In pits about Stoke and Stanny, Chefliire, plenti- fully. Phyllitis multifida, Ger. I have fometimes feen it on moiH: and fhady rocks, in this county, and in Denbighfhire. Whether fpecifically diflindt from the common fort, or not, I cannot determine; but in fome places where the common is in great plenty, and 1 have obfcrved it many years, it has not varied in any one inflance. Populus Though Populus tremula, G. B. feems not to be very common, I believe but fel- dom planted, I have reafon to think that we have it of fpontaneous growth ; but I am not fo well fatisfied with regard to any other fpecies of this genus. Pul monaria anguftifol. rubente coeruleo flore, C. B. foliis Echii L’Ob. Icon. Among the ruins of Greenfield monaflery in this county. Pyrafter, feu Pyrus fylveflris, J. B. “ In fylvis et. “ fepibus paflim.” R. Syn. I have but very rarely feen it. Ranunculus montanus Aconki folio, fl. globofo, C. B. Heileborus niger Ranunculi folio, fl. globofo majore Tourn. About Dolgelle, Feftiniog, Llanrhwfl, &CC. in Merioneth and Denbigh fhires, and in the meadows at Hayes, Salop, plentifully. 4 . Rhamnus [ 379 ] Rhamniis catharticus, J. B. “ Locis fentlcofis, fepi* “ bus et fylvis non raro.” R. Hift. I have met with it moft often in our Southern counties ; fel'** dom in Shropdiire, and not at all in this neigh'« boLirhood. Rorella longifolia perennis, R. Hid. fi non Rorelk longifol. maxima ejufdem ; plentifully, but lefs fo than Ros foils fol. rotundo, C. B. on the hillocks, called Triddle-bogs, on the great bog at Willowbridge, Staffordiliire. Rofa fylv. frudu majore hifpido, R. Syn. Almofl as frequent. as the common hep-treCb Rofa Pimpinellze folio, Ger. fylv. pomifera minor^ C. B. “ In fabulofis et petrofis frequens." R, Hid. Not generally fo j on Twittenham-common, among the furze plentifully, and on other com- mons in Surry : the hedges along the road from the nth to the 12th mile-done from Worceder toward Kiderminder, are almod intirely of it j and ’ it is almod all over the rocky-hill by the North- wed fide of Denbigh. Rubus Idasus fpinofo frudu rubro, J. B. Very com- mon in thefe, and I have often feen it in woods and thickets in fome of the Southern counties. Rufeus, Park. “ groweth generally throughout this “ land, in copfes and upon heaths and wade- grounds.” Park. On the fides of the road, fre- quently, between Bromly-town and common, and between that common and Farnborough, Kent. It has not been my hap to meet with it ellewhcre. Sambucus vulgaris. Park. “ groweth not wild, but “ is planted in all places, to ferve, &c.” • Park. It ■ is certainly wild in woods and thickets, and not C c c 2 ' unfre- [ 380 J unfreqnently even in the clifts of rocks and upoa walls. Sambacus humills, five Ebulus, C. B. At Fern-hill near Whittington, and about Whittington-callle,. Salop ; about a mile from Hamifead toward Wolverhampton, fparingly j on Tamworth caftle- bank, plentifully j on the walls of Colchefter- cafile ; in the ditches at the entrance of Long-Mil- ford (from Sudbury) ; in Durfon-field near North- ampton, and on Slaton-hill at the crofiuig of Watling-ffreet, between Northampton and Da- ventry ; between Newport and Carefbrook-callle, Itle of Wight ; fparingly by the ditches between Kennington-common and the Afylum. Mr. Blackfione, in his Specimen Botanicum, fays, “ near the upper gate in Cuper’s-gardens ab- undantly.” 1 fearched diligently, both within and without the gate, September 16, 1759, found not one plant of it ; but within I found fmall plants of Sambucus vulgaris among the large, in vaft abundance ; yet I hardly think he could miftake one fpecies for the other. Sedum minimum, fl. mixto ex albo et rubro, Merr.. On rocks, walls, and dry banks, almofi: throughout Carnarvon and Merioneth fiiires; and on and about; Caftell dinas-bran, near Llangollen, and in other parts of Denbighfhire adjoining to thofe two counties. Senecio hirfutus vifcidus major odoratus, Ji B. On. dry banks, walls, and rocks, at Ince, Chefliire. Solanum lethale. Park, Within the remains of Ha- vv ar den- call le, and abundantly in and about Hope in this county j about the Abbey de Valle crucis, 2 and [ 38i ] and at Vron, and other places near Chirk-caftle, Denbighfliire,. and by the brook under the North- weft fide of the town of Denbigh, Sorbus fylv. foliis domefticae fimilis, C. B; Ornus Dod. live Fraxinus fylv. Park. “ In montofis “ et uliginofis in Cambria et Septentrionali Anglias parte.” R. Syn. I may add, in the South too, having feen it in abundance even in the moft fouthern parts of Kept and Suflex. Sphondylium majus aliud laciniatis foliis, Park. “ found by Mr. G. Bowles in Shropfliire, as 1 take it.” Park. On both fides of the dingle, in' the lower part of the wood, at Hayes, near Ofweftry j it feems to be as common as Sph. vulgare; than which, fcarcely any weed there is more fo, though in other parts of that wood, where the common fort is no lefs plentiful, this is hardly to be found. 1 have not feen it elfewhere. The apparent dif- ference is fo great, that I cannot but fufpecft them to be fpecificalJy diftin(5t. 1 have the feeds of both now upon trial. Parkinfon’s figure of this plant is very bad, and I know none other of it. Taxus, Park. “ This groweth in many places of this “ land ; but planted in all, whether at home, or “ abroad.” Park. It is very common, of natural growth, not only in woods and thickets, as well as in hedges, but upon rocks and walls. Telephium vulgare, G. B. Fan from being univerfal. Abundantly about Llangollen, and in Carnarvon and Merioneth (hires. - Tilia — I do not believe that any fpecies of this genus is wild in this part of the iftand, however it be in other parts». Tithy- I 382 ] . 'Tithymalus linifol. Cam. An Tith. fegetum llnifol. R. Syn. With the oats hereabout. 'Trachelium majus Belgarum, Park. In (hady places hereabout, and eliewhere in Mold’s-dale ; but moft abundantly in a field here, called y Parki, through which the Terrig runs ; alfo about Egluy- feg and Llangollen, Denbighfifire. Trachelium majus fl. purpureo, Park. Par. In Shrop- Ihire toward Tenbury, as well as beyond, in Wor- •cefter and Hereford Ihires, plentifully 5 in thickets among the rocks by Clomendy in Llanveras, Denbighfliire. I am not certain of Trachelium minus, Park, which is • faid to be common : but there are cer- tainly in this ifland, and even in this neighbour- hood, many fpecies of this genus, that I cannot find to, have been defcribed or mentioned. Trichomanes, five Polytrichum, J. B. “ In petris “ iimbrofis et rofcidis, inque aggeribus umbrofis et “ muris antiquis magnus ejus per toiam Angliam “ eft proventus.” According to my obfervation,. it is rare in moft of the Englifti counties ; but common hereabout, and much more fo in fome • parts of Wales. The walls of the bridge and the walls and roofs of fome houfes at Bethgelert in Carnarvonftiire, are almoft covered with it. • yaccinia nigra vulgaris. Park. Frequent on moft heathy hills j but, as far as I have obferved, more on dry than wet. It is fcarcely two inches high on the moft barren ground toward the top of Snowdon, with an extremely fmall leaf, having frequently a large red excrefcence, the nidus of an infeift. Vaccinia . [3^3 ]_ Vaccinia rubra buxeis foliis, Park. On the fummlt only of the mofl; pointed of tbe Camp-hills, StafFordflfire, in a dry gravel. This too is very minute in all its parts upon Snowdon, and fo it is- about Cader Vron-wen, Denbigh. Verbafcum, fi. albo parvo, J. B. Abundantly along the roads about Gresford and A6ton, Denbigh- fhire. Verbafcum nigrum, fl. parvo luteo, apicibus pur- pureis, J. B. By the highway and park-hde, al- mofl: oppofite to Shavington (vulgb Shenton) hall,, Salop, for about loo yards, plentifully; rather above a mile beyond Hamflead, toward, and near. Bar, Staffordfhire ; in many places between Sud- bury and St. Edmund’s-bury ; at the defcent from-. Gerard’s Crofs, and alfo in many places between the Chalk-hills, fhort of Loud- water, and a mile- or two beyond Weft-Wickham, Bucks. Viburnum, Park. “ In fepibus paffim,” R. Cat,, Angl. I have not obferved it more Northward than about Southam, and between Stratford upon, Avon and Henley, Warwickfhire, and Ibmewhat (hort of Hifham, Northamptonfhire. Viola montana lutea grandiflora, C., B. Pretty plenti- fully on the mountains about Llanarmon, Dyffryn. Ceiriog, Denbighfhire, and thence about half way to Oiweftry ; fparingly about mid-way between. Ruthin and Llangollen ; between Bala and Felfi- niog, in forne places, and abundantly between Feftiniogand Dolgelle. Virga aurea anguftifol. minus ferrata, C. B. Plenti- fully throughout the park at Willowbridge, Staf- fordfhire, and in rocky places at Ince, Helfby, and - Frodfham,. [ 384 ] ■ Frodlliani, Chelhire j alfo, but a mudi more humble growth, on dry Tandy banks about Deref- bury, Norton, and Halton, Cheihire. Virga aurea latifol. Terrata, C. B. With the former at WHlowbridge, but lefs frequent. Ulmus . I have not been able to ailure my- felf that any fpecies of this comes up fpontaneoully with us. I need not except the cafe of fuckers ; . they being, till removed, but parts of trees, and many of the kinds, frequently planted, are fo pro- . dudliv^ of fuckers, even from the extremities of the roots, that one might expedl thefe trees to be much more general than they are. It is certain, there are many very extenlive v/oods without any of them. , I have often fown the feeds of fome kinds (that have vifible feeds, which, I think, is not the caie of all) and ever without fuccefs : but, having been informed that fuch have been raifed this wav, I mention my difappointments only as ibme kind of tedimony, that they are not apt to be increafed from feeds that cafually fall, and I have not obierved fuch oifspring. Umbilicus V’^eneris, Ger. Much more common in Shropthire, Staffordlhire, Chefliire, and in thjs county, than more Southward ; dill more in Den- bighlhire, and on almod every rock and old wall in Carnarvon and Merioneth Ihires. Umbilicus Veneris minor, Ger, Umbilicus Veneris, 2. Hid. des Plantes de I’Europe. Alter Cam. in Matth. 6c Matth. in Diofe. Cotyledon minus montanum Sedi folio L’Ob. Icon. 469, where the figure of this and that of Umbilicus Veneris are j _ ■ • • * « * tranfpofed. This is a fpecies of jSaxifraga. An Saxifraga C si^s ] Saxifraga Sedi folio anguftiore, ferrato Tourn. ? X believe, it is not now to be found on Biellon-caftle, Chelhire, where Gerard fays he found it. In this Catalogue, I have thought it needlefs to mention, except comparatively, the particular native places already pointed out by others. I have pafTed over the maritime plants, unlefs found alfo in inland places ; becaufe fuch as I have obferved, are not pe- culiar to any part of our coaft ; and I have endea- voured to avoid a needlefs multipicity of fynonyma, uhng generally the fhorteft name, if fufficiently de-. fcriptive, or that ufed by the author, whofe icon, or defcription, Teemed to me to be the beft ; and there- fore I have not adhered to any one fyflem. Upon the whole, it may be difficult to determine what plants, if any, arc originally Britifh. With regard to biennials, if there has been im- memorialiy a conftant annual flowering in wafte places, or in ground that does not appear, or is not known to have been cultivated for the pur- pofe, it may perhaps be reafonably prefumed that they are the natural and fpontaneous prodiid: of fuch places j for, in this cafe, I underftand natural and fpontaneous, according to common acceptation, to be fynonymous, and applicable to any feminal pro- duction, however happening, or effected, without the affiflance of art, whether from feeds depofited there, or in that foil, at the creation, or from fuch as are conveyed by the wind, by birds, or any other cafual means, Otherwife, in ftriCtnefs, there may be no fuch thing in nature as a fpontaneous produ(Sion ; for as to the old doctrine of equivocal generation, I fup- VoL. LXI. D d d pofc [ 386 ] pofe it to be univerfally exploded j though I do not difpute that the ftamina, or firft rudiments, have exifted, in the parent plants, from the beginning of all things, the vegetative principle being latent, till prepared to exert itfelf. And upon the firft conjedure, a difficulty may arife. It is, perhaps, not eafy to conceive that the fe- cundity of feeds, once perfeded, can be retained inert through many ages. Our experience feems to fliew, that there are fome kinds of feeds, that, at a certain age, or nearly fo, either vegetate or perifh ; that, if kept out of their proper matrix, or in it at too great a depth, beyond that time, whatever we do with them afterward, will not grow j and if there be really fuch (fo depofited ab origine) thofe kinds cannot, even in that fenfe, and in that cafe, be faid to come up fpontaneoully. Befides, if the feeds were fo depofited in the earth, and in a perfed ftate, fo numerous as they muft be ; the larger kinds, efpecially, could not efcape our notice. As to the antediluvian nuts, cones, and ftone-fruits, that, we hear, are fometimes found at vaft depths within the earth, however they may fuit the cabinets of the curious, I fear they are too antique to be • in the other way, the feeds may be conveyed, from whatever diftance, in different years (for aught we know they are in every, year), to the places where we fee the plants; and not only thither,. but to many places, that are not proper to receive and. cherifli^ them. prolific But It C 387 ] It Is evident that the oak, afh, and other bur moil; common trees, are not naturally increafed in any other way, except fuch as are produdive of fuckers at a confiderable diftance from the flems ; and many of thefe do not generally perfed their feeds : to fay nothing of inferiour plants, that fome- times, in the phrafe of gardening, lay themfehes. But thofe fuckers, till parted from the parent trees, and removed from the place, are not often better than underwood, which may be one reafon, why thefe kinds do notincreafe fo extenfively as the former. And if our forefathers had not induftrioufly raifed and increafed (if not previoufly introduced) the moft common and moft ufeful trees, perhaps we ihould not obferve them to increafe naturally more, or have found them more numerous, than many that we know to be exotic, and yet are as eafily increafed, and do of themfelves increafe as faff, proportionally, and are as hardy, as any trees we have. Yet it is not to be expeded, that thefe of exotic origin, more than thofe that have been long familiar to us, flaould increafe alike in all foils, or in all counties, fince there are fome foils that are far from being general. Mr. Da Cofta, in his Nat. Hift. of Foffils, obferves, that “ Chalk is found chiefly in the South-eaft part “ of this ifland,” fo that, “ if a ^raight line were drawn from Dorchefter (in Dorfetlhire) to thecoaft •“ of Norfolk, it would almofl; include our chalky ftrataj” and I believe his obfervation to be juft, except that, though the line be drawn even to the moft Weftern part of that coaft, this foil extends conftderably beyond it, into Wiltfl;iire. D d d 2 We [ 388 ] ' We know, that of all foils this is the moll fa- yourable to beech, white-beam, juniper, viburnum, traveller’s-joy, and to many of the herbaceous tribe; tiiOLigh not only fuch, but many foreign plants, will increafe alfo in foils that are not the moll fuitable to them. In the woods here*, and at a diftant place, I find, not unfrequently, feedlings of the Scotch-pine (which whether indigenous of Scotland, or not, may be doubtful), fpruce-fir, horfe-chcfnut, walnut, and perhaps more than I can at this time recolledl. Of the four kinds mentioned, fome trees, notwith- fianding the tread and the browfing of cattle, now grown to a confiderable height, I am certain were not planted. Of the three firft there are many not far off, that were planted, and probably may in moft feafons bear perfedl feeds : but of the walnut I do not know that there is, or has been, within half a mile of the firfi-mcntioned woods, a tree that has produced a nut mature enough for vegetation. It is, however, cafy to conceive, that the nuts may have been brought from a much greater difiance by- birds, or other animals, and dropped accidentally, or hoarded and forgotten, or perhaps not needed. In a fhrubbery, many years left to nature, I have obferved very numerous progenies of various foreign fhrubs, both from the feeds and roots ; and it is well known to gardeners, that many of' their once choice flowering herbs are apt to multiply in the way of fuckers, while the feeds of others fow themfelves fo plentifully, , as not eafily to be kept within bounds. . 4 N C 389 ] It, therefore, feems to me not unlikely, that all thefe kinds, and many more perhaps yet unimported, may in future ages be fo far naturalized as to be deemed indigenous of this land. But this conjedure, and the former, are offered, with fubmifTion. .. I am, . SIR,. Your moft obedient », and moft humble* fervant,- Leefwood, Dec. 24^, 1770. R. He Waring^, XLII. A [ 39° 1 XLII. A Catalogue of the Fifty Specimens of Plants^ from Chelfea Garden : prefented to the Royal Society^ for the Tear 1770, purfuant to DireBion of the late Sir Hans Sloane, Bart, frotn the Society of Apothecaries London : By Stanefby Al- chorne, Member of the faid Society. I Read Dec. 6, 240 1 /I d T H U S A, Cynapium, Lin. /I j Spec, plant. 367. i. Cicuta minor petrorelini fimilis. Bauh.pIn.i6o. 5402 Ajuga, reptanSy ftolonibus reptantibus. Lin. Spec, plant. 785. 4. Confollda media pratenfis ccerulea. Bauh. pin, 260. 2403 Anemone, nemorofay femlnibiis aeutis, follolis inciiis, caule unifloro. Lin. Spec, plant. 762. 15. Anemone nemorofa flore majore. Bauh. pin. 176. 2404 Anemone, ThaliStroideSy foliis caulinls fimpllci- bus verticillatis, radicalibus duplicato-ter- natis. Lin. Spec, plant. 763. 21. Ranunculus nemorofus aquilegiae foliis virgl- nianus afphodeli radice, Pluck. Aim. 310. tab. 106. fig. 4. £405 An- [ 391 ] , . . _ 2405 Antirrhinum, bipunSlatum, folila iinearibus glabris, jnferioribus quaternis, caule eredto paniculate, flojibus fpicato-capitatis. Lin. Spec, plant. 853. 13. Linaria lutea parva annua. Bauh, hift. III. 457. 2406 Antirrhinum, Oroniium, corollis ecaudatis, flo- ribus fubfpicatis, calycibus digitatis, corolla longioribus. Lin. Spec, plant. 860. 36. Antirrhinum arvenfe majus. Bauh. pin. 2 12, 2407 Apium, graveolenSy foliolis caulinis cuneifor--- mibus, urnbellis feffilibus. Lin. Spec, plant. 379- I- Apium paluftre live Apium. officiharum.. Bauh. pin. 154. 2408 Berberis, vulgarisy pedunculis racemofis. Lin, Spec, plant. 471. i. Berberis dumetorum. Bauh. pin. 454. 2409 Bryonia, alba,- foliis palmatis, utrinque callolb-- fcabris. Lin. Spec, plant. 1438. i. Bryonia alba baccis nigris. Bauh.. pin. 297.. 2410 Bu-x.\JiS^fempervire?2S. Lin. Spec, plant. 1394. i. Buxus arborefeens. Bauh. pin. 471.. 2411 Gentaurea, Cyanus^ calycibus ferratis, foliis Iinearibus integerrimis, infimis dentatis, Lin. Spec, plant. 1289. 14. Cyanus fegetum. Bauh. pin. 273. 2412 Cheiranthus, Cheiri, foliis lanceolatls acutis glabris, ramis angulatis. Lin. Spec, plant. 924. 2. Leucojum luteum vulgare. Bauh. pin.. 202, 241-3 Chryfanthemum, Leiicanthemum, toliis am- * plexicaulibus bblongis, fuperne ferratis, inlime dentatis. Lin. Spec, plant, 1251. 4. Beilis [ 392 3 Beilis fylveftris caule foliofb major. Bauh. pin. 261. 2414 Convallaria, n)erticillata^ follis verticillatis, Lin. Spec, plant. 451. 2. Polygonatum anguftifolium ramofum, Bauh. pin. 304. 3415 YXWCiz'y NyBelea, Lin. Spec, plant. 1662. i. '2416 Eryfimum, ojicinale filiquis fpicae adpreflis, foliis runcinatis. Lin. Spec, plant. 922. i. Eryfimurh vulgare. Bauh. pin. 100. 2417 Tragaria, vefcaj flagellis reptantibus. Lin. Spec, plant. 708. i. Fragaria vulgaris. Bauh. pin. 326. 24 1 8 Glecoma, h^eracea^ foliis reniformibus crenatis. - Lin. Spec, plant. 807. i. Hedera terreftris vulgaris. Bauh. pin. 306. 2419 Halefia, tetraptera^ foliis lanceolato-ovatis, pe- tiolis glandulohs. Lin. Spec, plant. 636. i. Halefia frudtibus membranaceis quadrangulatis. Phil. Tranf. LI. 931. 2420 Helleborus, fatidus, caule multifloro foliofo, foliis pedatis. Lin. Spec. pi. 784. 4. (^, Helleborus niger trifoliatus. Mor. Hiff. Ill, 460. 2421 Hypoxis, ereBdy pilofa, capfulis ovatis. Lin. Spec, plant. 439. r. Ornithigalum herbaceum luteum parvum vir- ginianum foliis gramineis hirfutis. Pluk. Aim. 272. tab. 350. fig. 12. 2422 Lamium, alburn^ foliis cordatis acuminatis pc- tiolatis, virticillis vigintifloris. Lin. Spec, plant. 809. 5. Lamium t 393 ] Lamium album non foetcns, folio oblongoi Bauh. pin. 231. 2-423 Lamium, piirpiireum, foliis Gordatis oBtufis- petiolatis. Lin. Spec, plant. 809. 6. Lamium purpureum fcetidum folio fubrotundo. Bauh. pin. 230. 2424 Laurus, 7iobilis^ foliis venofis lanceoLtls p^nis perennantibus, ramulis tuberculatis cicatri- cibus, floribus racemolis. Lin. Spec, plant. 529* 5* Laurus vulgaris. Bauh, pin. 460. 2425 Ligufticum, Scoticimy foliis biternatis. Lin. Spec, plant. 359. 2. Ligufticum humilius Scoticum, Pluk. Aim,. 217. tab. 96. fig. 2. 2426 Myrfine, Africana. Lin. Spec, plant. 285. i. Buxus africana rotundifolia ferrata. Pluk. Aim. 74. tab. 80. fig. 5. 2427 NarcilTus^ mnor^ Ipatha uniflora, ncdtaria obconico eredto crifpo fexfido aequante petala - lanceolata. Lin. Spec, plant, 415. 4. NaroifTus parvus totus luteus* Bauh. pin. 53. 2428 Narciffus, Ffeudo-NarciJfiiSy fpatho uniflora, nedfario campanulato eredto crifpo aequanta petala ovata. Lin. Spec, plant. 414. 2. Narciffus fylveflris pallid us caly ce luteo. . Bauh^ pin- 52. 2429 Ononis, crifpa^ fruticofa,. foliis ternatis fub-- rotundis undulatis dentatis vifcofo-pube- fcentibus, pedunculis unifloris muticis. Lin'; Spec, plant. loio. 14. 243O' Peltaria, alliacea. Lin. Spec, plant. 91Q. i.. Thlafpii Voi.. LXLv E e e. [ 39+ ] Thlafpi montanum glafti folio majus. 'Bauh. pin. 106. .3431 Potentilla. Anferina^ foliis pinnatis fcrratls, caule repente. Lin. Spec, plant. 710. 2. Potentilla. Bauh. Pin. 321. 243^ Primula, veris, foliis dentatis rugofis. Lin. Spec, plant. 204. i. y. Verbafculum fylveftre majus fingulari flore. Bauh. pin. 241. .2433 Ranunculus, bulhofiis^ calycibus retroflexis, pedunculis fulcatis, caule eredto, foliis com- pofitis* Lin. Spec, plant. 778. 25. ’Ranunculus pratenfis radici vcrticilli modo rotunda; Bauh. pin. 179. 2434 Ranunculus, Illyricus, foliis ternatis integerri- .mis lanceolatis. Lin. Spec, plant. 776. 17. .Ranunculus lanuginofus anguftifolius grumofa radici. Bauh. pin. 18 1. 2435 Rhexia, Virginiana^ foliis feflelibus fcrratis, calycibus glabris. Lin. Spec, plant. 491. i. Lyhmachia non pappofa virginiana tuberarise foliis hirfutis flore tetrapetalo rubello. Pluk. Aim. 235. tab. 202. fig. 8. 2436 Rumex, acetofa^ floribus dioicis, foliis oblongL fagittatis. Lin. Spec, plant. 481. 24. L Acetofa montana maxima. Bauh. pin. 1 14. 2437 Rumex, acetofella, floribus dioicis, foliis lan- ceolato-haftatis. Lin. Spec, plant. 481. 25. Acetofa arvenfis lanceolata. Bauh. pin. 1 14. 2438 ^ambucus, mgra^ cymis quinquepartitis, caule arboreo. Lin. Spec, plant. 385. 3. Sambucus frudtu in umbella nigro. Bauh. pin. 456. 2439 Sa [ 39S ] 2439 Saponaria, orientalisy ■ calycibus cylindricjs villofis, caule dichotomo eredo patulo. Lin. Spec, plant. 585. 5. Lychnis orientalis annua fupina antirrhini folio,, jflore minimo purpurafcente. Dil. Hort. Elth. 205. 2440 Scandix, cerefoliiim^ feminibus nitidis ovato,- fubulatis, umbellis fcffilibus lateralibus. Lin.. Spec, plant. 368. 3. Gha^rophyllum fativum. Baub. pin. 152. 2441 Scilla, bifolia t radice folida,. dpribus erediuf- culis paucioribus. Lin. Spec, plant. 443. 6., Hyacinthus fleilaris bifolius germanicus. JBauh. pin. 152; 2442 S\{ymhnumy Sophia, petalis calyce minoribup, foliis decompobto-pinnatis. Lin. Sp, pL 920, 18.. Nafturtium fylvedre tenuiffime divifum.. Bauh. pin. 105. 2443 Swertia, perennis, corollis quinquefidis, foliis- radicalibus ovalibus. Lin. Sp. pl. 328. i. Gentiana paluftris latifdlia.. Bauh. pin. 188. 2444 Syringa, laciniata, foliis lanceolatis, integiis^ diffedifque. Lin.. Spec. pi. 12. 2./^. Lilac laciniato folio. Mill. Did. pi. 164. 2. 2445 vulgaris, fDliis ovato cordatis- Lin.. Spec. pi. 1 1. I. Lilac fore faturate purpureo. Mill.. Did. P- 563V 2446 Trifolium, Melilotus-ccerulea, fpicis oblongis,. leguminibus feminudis mucronatis caule eredo. Lin. Spec. pi. 1077. j.. Lotus hortenfis odorata. Bau.h, pin. 331.. E e e 2 ^447 Vinca-. C 396 ] 2447 Vinca majory caulibns eredis, folils ovatis» floribus pedunculatis. Lin. Sp. pi. 304. 2. Clematis Daphnoides major. Bauh. pin. 302, 2448 Viola, canina, cauie adultiore adfcendente, foliis oblongo-cordatis. Lin. SpcC. plant. ^ *324- 9; . Viola martia inodora fylvedris. Bauh. pin. T99.- 2449 Viola, hirki, acaulis, foliis cordatis pilofo-hil- pidis, Lin. Spec. pi. 1324. 6. Viola inartia hirfuta inodora. Mor. Hid. II.. .P'-475- 2450 Zinnia, multifloray doribus numeroCs. Lin. Spec. pi. 1 269. 2. Zinnia doribus pedunculatis. Jacq. Obf. 2. tab. 40. XLin. I^ran^ [ 397 ] XLIII. Obfervatmts made, by appointment of the Royal Society^ at King George’s Ifland in the South Sea ; by Mr. Charles Qreen> formerly A[Jifla7it at the Royal Obfervatory at Greenwich, and Lieut, James Cook, of his Majefly s Ship the JEndeavour, Read November 2r, 1771* 1769 April ^ 2n anchor In Royal Bay In King YV George’s ifland. Fixed upon the North point of the bay, which is the moft Northern point of the ifland, for the place of obfer- vation ; here we built a fmall fort, to fecure us againft the natives, which we called fort Venus : it was not finilhed and the inftruments fet up in proper order until the 10th of May, therefore the time for all obfervations made before this day, was taken by a watch with a fecond hand, the going of which was afcertained by altitudes of the fun as often as were necefTary. The aftronomical clock, made by Shelton and furnilh- cd with a gridiron pendulum, was^ fet up in the middle of one end of a large tent, in a frame of wood made for the purpofe at Greenwich, fixed firm and as low in the ground as the door of the clock-cafe would admit, and to prevent its being difturbed by any accident, an- other framing of wood was made round this, at the diftance of one foot from it. The pendulum was ad- jufted 1 [ S98 ] jufted exa£l]y to the fame length as it had been at Green- wich. Without the end of the tent facing the clock, and 12 feet from it, flood the obfervatory, in which were fet up the journeyman clock and aftronomical quadrant : this lafl, made by Mr. Bird, of one foot radius, flood upon the head of a large cafk fixed firm in the ground, and well filled with wctt heavy fand. A centinei was placed continually over the tent and obfervatory, with orders to fuffer no one to enter either the one or the other, but thofe whofe bufinefs it was. The telcfcopes made ufe of in the obfervations were — Two refleding ones of two feet focus each, made by the late Mr. James Short, one of which was furnifhed with an objedl glafs microrneter. Thus furnifhed, the following obfervations were made. Obferva- [ 399 ] ^^vatlons of equal Altitudes of the Sun for the Time, niadc with the Aflronomical Q^drant. jjjTime per .clock of the Sun’s Liliib paffing the Wires at equal Altitudes. Obfervatory Side of the Remarks. • i clock. |r h / // f n / /; r n / // / // Mean noon Baro. Th. Baro. Th 9 39 5% 41 43 42 20 44 23 45 00 47 425 per clock. ,30 '8 8 b -.0 1 9 82 1 no i 2 04 uf 2 35 CO 57 I 58 53 58 18 55 34i ^50 'b 83 3° 15 82 C. G. jii 51 38-1 51 39, 51 3«l 51 39 51 39 51 38f 1 I 31 38,7 1 1 1 9 09 08 II 3$ 1 2 09 14 00 ■14 35 17 01 1 ho 22 8o 30 20 84. 1 jClondy 2 30 0$ 29 36' Cloudy 27 10 24 45 , 30 29 S3' 30 14 88 C. G. II 50 52 5^ 52I 50 52| 50 53 1 1 30 52,5 9 r I 38 14 04 14 40 16 31 '7 04I i 19 33 '30 35 89 30 i3js6 I 10 1 2 29 22 26 58 26 24 too late tor ihefe wires. 30 I. 83 qo oq 85 C. G. 50 30 p 31 30 32 II 50 31 9 39 23 42 cS 42 47 44 52 45 30 48 1 6 '30 1 6 87 3^ 14 86 14 Cloudy I 55 24 ;,4 4^" I 52 00: 30 2086 30 19 88 C :. G., II 30 08 30 08 50 08 11 30 08 jt I 9 15 34 18 05 18 40 20 36 2 1 M 23 44 fl 1 2 23 14 20 43 20 09 18 12 >7 38 15 05 II 49 24 49 24 A 9 24I 49 24 49 24! 49 24I 1 1 49 9I 1 9 27 30 30 31 05 33 09 33 455 36 23 30 19 88 30 15 84 2 10 27 7 5P 7 14 5 9i 4 33f '30 11 87 iO 00 8i C. G. U t iLtJJI II 49 9I 49 ic> - 49 9i 49 9I 49 9i II 49 9>55 1 0 { 8 21 02 23 15 23 45 25 27 23 36 28 1 1 None a ^ Cloudy 14 00:: 12 >3: II 43 Cloudy good but II i8 II 48 5i| 4^ 521 4,8 51 48 5°l 1 1 48 51,4 ihc firO, 8 36 3ii 48 47 49 19 41 C5 41 36 43. 53 30 1082 30 lO 84 reft in a 3 01 II 2 59 00:: 58 26:: Cloudy 56 o6i;: 53 52:; 30 00 82 30 08 86 confufeJ B^ng od n 48 51I 4» 53,3 48’ 32,5 48 Sif 48 32.3 1 1 48 51,2 J haze C G 9 44 P 47 44 48 23 50 39 51 19 54 17: I 51 07 48 1 2 47 27 . 45 19 44 36 41 42 1 “ 47 59 47 58 47 55 47 S9 47 57I 47 59-2- CT| CO 10 3 39 30 25 81 30 22 84 I 32 17 30 19 82 30 17 87 C '. G. II 47 58 ‘I 47 58 9 12 24 14 59f 15 34 17 33 17 20 20 43 30 20 84 30 12 83 2 22 27 19 54 19 20 17 20 14 1 1 30 17 B2i 30 1 1 82 C. G. 53 II 47 25I 47 26|- 47 27 47 26^ 47 27 II 47 z6| J 9 30 4^i 33 31 34 07 36 16 36 33 39 421 - 2 03 57 I '5 2 00 39 58 28 57 52 55 05 II 47 47 23 47 23 47 22 47 23I 47 23i II 47,22,8 Obfcrvatioiis [ 400 '] Obfervations of equal Altitudes of the Sun for the Time, made with the Aftrono* mical Quadrant. Time 1769 May Reading ofF a ^ With flop per clock 0 h / ff 7 43 17 3 5^ 01 11 47 9 8 05 29 3 28 $2 n 47 io| f the Su . f ff 45 26 48 52 47 09 7 39 26 41 47 10 n’s Liml / // 45 55 48 26 47 i°i 8 10 26 1 1 47 102- ) palling the / // 47 33 46 45 47 09 9 52 24 29 ■ 47 io| Wires a / // 48 02 46 16 47 09 10 21 23 59 47 10 t equal ^ n 50 10 44 09 47 9l .2 33 21 49 47 II Altitudes. Mean noon per clock. II 47 9f II 47 10,4 Obferv Baro. 30 19 30 13 atory Th. 82| 80 Side 0 , cloc Baro. 50 12 30 07 ‘ the k. Th 77? 83 Remarks. < . J. C. • U 25 10 04 2lf I 29 ^2 11 46 56I 7 415 2612 46 sf| 8 2^i 25 27 |6 56I II 02] 22 49 46 55 1 II 5oi 22 03 46 56I 15 16 Cloudy 1 1 46 56,55 30 19 30 07 81X 80 30 15 30 10 8i4 82 J. c. h 27 8 I^ 59 j 16 51 II 46 25 18 20 14 33 46 18 42 H 7 46 24j 20 351 12 21 46 28A 21 II 1 1 46 46 2 8| 22 20 9 35 46 2yi II 46 26,7 30 21 30 18 82 84 30 15 30 14 8o| 86 C. G. G 28 8 41 17 2 51 17 n 46 17 43 45 48 49 46 17 44 9 48 25 46 17 46 0 46 31 46 15! 46 38 45 54 46 16 48 57 43 37 46 17 1 1 46 16,6 30 24 30 20 82 82 30 17 30 17 81 1 86 C. G. D 29 9 0^ 39 2 26 25 II 46 02 8 18 23 46 46 02 8 44-1 23 20 46 02| 10 48 1 21 17I 46 03 1 1 28 20 39 46 03I 13 57^ 18 18 46 2\ I I 46 2| 30 28 30 20 84 79 30 23 30 17 82 88 At ah. 3«* P.M. woundup >the clock and put it forward 10' C7". C.G. Beading off ^ 50 9 19 13I 2 34 28 II 56 50I 9 36 52 2 16 38 ” 56 9 5^ 57 > 57 38 ” 56 47i 21 55 31 4^ 56 5'l 39 48 «3 47 56 47i 59 54 32 56 494 22 23 31 18: 56 5of 40 i6i •3 19 56 47l 59 4°i late 24 23r 29 16 56 49z 42 27I 1 1 07 56 47l 10 02 02i 51 36 56 49? 25 04I 37 56 5o| 43 n 10 24 56 47 2 50 50 48 56 49 27 45 26 o6| 56 50I 45 53 too late 5 50 47 48 56 49 II 56 50I II 56 46,9 II 56 48,8 30 29 30 24 78 79 30 22 30 16 80 8ii J. C. '8 30 09 3 13 01 u 56 35 9 36 08 217 3i u 56 35l 32 30 20 40 56 35 38 59 '4 13 56 36 33 7 20 04 56 35f 39 29 '3 43 56 36 34 42 i8 27 56 34? 41 39 1 1 32 56 35l 35 I7i 17 53 56 35? 42 2l| 10 51 5^ 36? 37 3' 15 39 56 35 ..5 06 08 06 56 36 II 56 35 II 56 36 30 28 30 21 8o4 79* 30 21 30 16 78 82 I. c. June 11 1 8 24 00 3 28 51 II 56 2Si 25 19 27 33 56 26 26 46 26 06 56 26 28 31 24 21 56 26 29 06 23 46 56 26 31 18 21 34 56 26 II 56 26 . 30 24 30 32 891 30 17 30 20 7^j 84 j. c. Obfcrv&iioiU [ +0* ] Obfervations of equal Altitudes of the Sun for the Time, made with the Aflronomici;| Quadrant. tj Tim 1769 June ? 2 ; per Clock h ' n 7 39 46 4 12 II 56 14I 7 54 39 3 57 54f 11 56 i6| of the S r // 41 48 10 43 56 iSi 56 52 55 42 56 17 nil’s Limb t // 42 12 10 18 56 15 57 17 55 17 56 17 pairing / /' 43 52 8 37 56 i4| 58 59 53 34 56 i6| the Wirt t n 44 24 8 6 56 15 59 32 53 02 56 17 :s at equal / // 46 29 6 I 56 IS 8 01 38 50 55 56 i6| Altitudes. Mean noon per clock II 56 IS II s^ 16,8 Obferva Baro. 30 22 30 l8 • tory Th. 8o| 81 side of clock Baro. JO 1 2 30 15 the rh. 7 si 82| Remarks. J.C. h 3 7 36 43 4 15 17 11 56 00 7 46 20 4 5 40 II ^6 00 39 01 13 00 56 oo| 48 32I 3 28 56 oo| 39 25 12 35 56 00 48 57 3 05 56 01 41 03 10 57 56 00 50 38^ I 21 55 59i 41 37 10 26 56 oii 51 10 00 50 56 00 43 42 8 22 56 02 53 15 58 45 s6 0 I I ^6 OOy II 56 00-,V 30 20 30 20 86i 36| 30 13 30 15 75 98 Note, the clol was expofed the fun from- > or 10 o’clock; the morning ( 4 in the aft' noon. J. C. With flop 0 4 With flop 8 II 43 3 39 58 II 55 8 29 50 3 21 50 II 55 so 14 02 37 40 55 51 32 13 19 28 55 5°i 14 26 37 16 55 51 32 38 19 04 55 51 16 12 35 29 55 5oi 34 28 17 13 55 5°i 16 45 34 56 55 50§ 35 02 16 39 55 50I 18 ;6 32 45 55 50I 37 i6f late II S5 5=>s II 55 S°i 30 22 30 20 80 m 30 15 30 13 77i 86i 1 The obferva ons of both 3 flerday and I day are as gc as can be mat J.C. 3> 5 9 II 41 2 39 28 II 55 34l 14 15 36 53 55 34 14 45 36 22| 55 34? 16 47I 34 20 55 33l 17 16 33 52 55 34 19 47 31 21 55 34 // > to reduce .1 journeyman ^ j clock to the + 7 J other clock. II 55 38.1 30 19 30 17 83 80 30 14 30 15 83 84 C. G. S 6 8 13 19 3 37 3*5 II 55 ^7f 16 I 44 57 55 29 17 48 33 10 55 29 18 22 32 37 55 29I 20 34: 30 26 55 30 II S5 29 30 18 30 14 79 81 30 16 30 10 80 88 C. G. ’ S 7 8 58 22 2 52 13 II 55 172 00 45 49 53 55 17! 901 12 49 24 55 *8 3 09 47 25 55 17 3 44 46 St 55 17? 6 10:: 44 26;: 55 18:: II 55 17I 30 20 30 .17 85 82 30 18 30 16 83 86 C. G. n 8 7 47 45- 4 02 34 II 55 49 57 00 20 55 8| Cloudy 3 59 57 52 58 14 55 09? 52 36 57 41 55 o8| 54 40 Cloudy II 55 09 JO 20 30 17 84 82 30 17 36 14 83 83 C. G, 9 9 9 50 00 I 59 49 II 54 54§ 53 02 56 44 54 53 53 35 56 ; I 54 53 56 04 53 46 54 55 56 47 53 02 54 54f 59 48 SO 00 54 54 II 54 54 30 19 30 II 81 79 30 17 30 14 84 83! C. G. 1 j 0 II 9 57 43 1 51 38 11 ^4 40i ^ Clout ly in the afternoon. • II 54 40I 30 24 74 30 20 74 C. G. ! i 1 VoLi LXI. F f f Obfervati, o [ 402 ] Obfervatlons of equal Altitudes of the Sun for the Time, made with the Agrono- mical Qt^rant. Time per Clock of the Sun’s Limb paffing the Wires at equal Altitudes. 1769 h r // / \ // / // / // r // f // Mean noon June 7 5^ 56 55 33 55 36 S7 52: P er clock 7) 12 3 56 14 53 35 1 1 54 35 54 34 1 1 54 34.5 9 14 52 17 34 18 02 20 06 20 45 S 2 34 10 31 28 30 59 28 54 28 15 1 1 54 31 54 31 54 30 2 54 30 54 30 1 1 54 3oi 8 34 03 36 31 36 57 38 49 39 23 41 40 51 H 3 14 37 12 to 1 1 45 9 54 9 2 1 late 1 1 54 20 54 20| 54 2 1 54 2>i 54 22 1 1 54 21 8 •5 31 17 52 18 15 Cloudy 20 36 22 47 Cloudy 3 30 04 29 4' 27 52 Cloudy 25 07 h 17 53 58 53 58 53 57 [ I S3 57.7 8 29 32 31 59 Cloudy 34 16 34 48 37 05 Cloudy 3 15 55: «5 33” 13 40: •3 06 late 53 57 53 58 53 57 1 1 53 57.3 9 13 48 16 32 16 59 19 04 19 42 22 »7 © 18 2 33 48 31 05 30 39 28 32 27 55 25 20 1 1 53 48 53 48i 53 49 53 48 53 48I 53 484 1 1 53 1 8 55 55 28 55 55 57 49 58 25 9 00 50 D 19 2 ^4 30 5« 30 49 34 48 57 46 33 1 1 53 42I 53 42f 53 4if 53 41 53 41I 1 1 53 41,8 8 13 26 15 47 16 1 1 18 00 18 33 20 47 20 3 33 45 ' 31 24 3> 00 29 1 1 28 38 26 25 35.6 1 1 53 3 5-5 53 j5 2 352 53 35^ 53 3>2 53 36 II 53 7 49 01 51 »5 51 38 53 22 53 54 56 01 21 3 57 50 55 35 55 1 2 53 27 52 55 50 49 1 1 53 25I 53 25 53 25 53 24I 53 24I 53 25 1 1 S3 25 8 25 23 % 22 3 2 1 14 > Cloudy in the afternoon. 1 1 53 i8i 1 1 53 i8| 7 57 50 8 00 07 .0 30 2 JS 2 49 4 58 h M 3 48 10 45 54 45 3> 43 46 43 1 2 4> 01 1 1 53 00 53 00^ S3 oof S3 004 53 oo4 53 014 1 1 53 ooi- Obfervatory Side of the Remarks. cJoclt Baro. Th. Baro. Th Uj 0 K) 0 7S4 30 15 77 30 '7 8o| 30 12 82 C. G. 30 16 82 30 16 83 C. G. 30 16 81 30 10 80 30 16 82 30 12 87 C. G. 0 0 CO 71 30 04 70 30 lO 83 30 05 80 C. G. 30 26 78! 30 14 79 30 14 76 30 10 77 C. G. 30 >7 74 30 13 72 G i P • 1 30 12 76 30 10 79 30 12 77 30 I 0 77 30 18 84 30 08 83 C. G. ^0 07 70 30 07 70 30 10 78 30 12 8n C. G. 30 17 82 30 16 80 C. G. 30 16 80 30 I I 74 30 11 78 30 oS 82 C. G. Obfervations L [ 403 ] Obfervatlons of equal Altitudes of the Sun for the Time, made with the Agro- nomical Quadrant. Time f 1769 June 0 25 >er dock of h f n 10 06 49 I 39 00 ” 52 the Sun’ ! n 10 12 3S 31 52 5'l s Limb r n 10 50 34 55 52 52I paffing t / n >3 35 32 10 52 52I be Wire t n 14 27 31 20 52 53f 3 at equt r n 17 SO 27 53 52 5«4 il Altitudes. Mean noon per clock. II 52 52I Obferv Baro. 30 18 atory Th. 84 Side 0 clod Baro. 30 15 f the c. Th. 81 Remarks. C. G. ^ 27 9 27 17 2 17 S3 3S 30 10 13 01 52 35z 3^ 39 H 33 52 36 32 49 12 21 52 35 33 31 II 39 52 35 36 15 8 56 52 35I If 52 357 30 14 30 07 78 78 30 13 30 10 78 80 C. G. July 0 2 8 02 29 3 41 JO “ 49t j- Clout 3y in th< afterno on. II 51 49f 30 iS 30 15 76 83 30 12 30 II 75 84 C. G. > 3 ^ o-j 13 2 36 10 II 51 4ji 9 S^ 33 34 42f 10 19 33 06 5» 42§ 12 21 31 02 51 41I 13 00 30 2^ 5‘ 42I 15 3‘ 27 52 51 4i| II 41 42 30 18 30 14 82 81 30 II 30 II 82 86 C. G. ^ 4 7 33 21 4 09 43 II 51 32 35 33 7 31 51 32 35 SS 37 36 5 27 51 3i| 38 07 4 57 51 32 40 13 2 50 SI 31I: II 51 3i»8 30 II 30 10 7' 84 30 11 30 13 70 84 C. G. n 6 7 29 44 4 12 35 II 31 09I 31 57 10 24 5‘ 32 19 10 03 51 11 34 01 8 19 51 10 II 51 io| XO 2Z 30 18 72 78 30 13 30 17 71 80 C. G. h 8 Took down the Clc the Bob remair icks^and ted as at Obfervj Greenw itory j the Pend dch. ulum vibratec 1° 55' on each S de t le Center, F f f i Account [ 404 1 Account of »hc going of the Allronomical clock at King George’s Ifland, deduced from the foregoing Obfervations. Day of Correfled Clock Clock Inter- the Month noon per clock Mean Time flow for lofes val of M T. • 1769 H. M. s. H. M, s. M. S. M. S. Days May 10 12 13 11 1 1 II 50 so 44,8 S^>3 36*7 I'l 1 1 11 56 55 55 2,8 59,7 59,0 4 5 5 18,0 »,4 22,3 0 0 0 43,4 20,9 22.7 2 I I J4 1 1 SO 13.7 1 1 55 58’7 5 45>o f ? *7 1 1 49 15,0 1 1 56 1,4 6 46,4 Q ^ >7* I 18 11 48 56,4 1 1 56 3,4 7 7,0 1 21 23 1 1 1 1 48 47 3.0 29»4 1 1 1 1 56 12,5 21,4 8 8 9,5 52,0 0 0 42,5 20. C 2 I 24 1 1 47 i4»i II 267b 9 12,5 0 18,7 I 25 II 47 I, I 1 1 56 32,3 9 31,2 0 2 27 1 1 46 28,1 II 56 45,2 10 17,1 0 14.. 6 I 28 29 II II 46 46 20,7 6,3 1 1 1 1 56 57 52,4 0,2 10 10 3>,7 53,9 0 22>2 I The clock was put forward 10' 57 • 0 19,0 I June 30 31 1 1 1 1 56 56 52,5 39,0 1 1 1 1 57 57 8,4 i7,» 0 0 15,9 38,1 0 0 22,2 IQ»0 1 I 1 1 1 56 29,1 1 1 57 26,2 0 57,1 0 I q>6 1 2 1 1 5^ 18,9 1 1 57 35-6 I 16,7 0 2C»C I 3 4 1 1 1 1 S^ SS 3,2 53,3 1 1 1 1 57 57 45,4 55,6 1 2 42,2 2,3 0 0 20,1 2 ^0 1 I 5 1 1 5S 40,8 1 1 58 6,1 2 25,3 0 20,8 I 6 1 1 SS 30,9 1 1 58 17,0 2 46,1 0 22-^ I 7 1 1 SS 19,8 1 1 5« 28,2 3 8,4 0 7Q,2 1 8 1 1 Si 1 1,0 1 1 39,6 3 28,6 ,*> 26,5 1 9 1 1 54 56,1 1 1 58 51,2 3 55,; 0 2 j I 1 1 54 42,3 1 1 59 14,9 4 32,6 0 18,7 1 12 1 1 54 35,8 1 1 59 27,1 4 51,5 0 16,4 1 *3 1 1 54 3>,8 1 1 59 39,5 5 7,7 0 22,2 I 14 1 1 54 22,1 1 1 59 52,0 5 29,9 I 2,0 3 *7 1 1 S3 58,1 0 0 30,0 6 31,9 0 22,0 I 18 1 1 S3 48,9 0 0 42,8 6 53,9 0 19,8 I 19 1 1 S3 42,0 0 0 55,7 7 •3,7 0 to, ? I 20 1 1 S3 35,6 0 I 8,6 7 33,0 0 23,6 1 21 21 24 1 1 1 1 1 1 S3 S3 S3 24,8 18,2 0,0 0 0 0 I I I 21,4 34,2 59,6 7 8 8 56.6 16,0 59.6 e 0 0 19,4 43.6 20,q 1 2 I 25 1 1 52 51,7 0 2 12,2 9 20,5 0 2 27 1 1 52 34, J 0 2 37,1 10 3,0 I 45,6 5 Ju!y 2 1 1 51 47,5 0 3 36,1 1 1 48,6 0 18,9 I 3 1 1 5* 39,7 0 3 47,2 12 7.5 0 20. Q 1 4 1 1 51 29,6 0 3 58,0 12 28,4 0 42, c 2 6 1 1 5^ 7,7 0 4 18,6 13 10,9 Daily lofs of clock S. 20,9 22.7 20^5 20,6 20.8 21,2 20,5 18.7 22,9 14.6 22,2- i9>o IZyZ 19.0 19.6 20.1 23.0 20.8 22.3 20.2 26.5 18.7 18.7 16.4 22.2 20.7 22.0 19.8 19.3 23.6 *9.4 21.8 20.9 21,2 21, r 18.9 20.9 21,2 Hence the daily rate of the clock’s lofing on mean time, by a mean of thefc 40 refults, is 20,8 feconds. By the firft and lall days obfervations compared together, the clock loft 19' 49, "9 on mean time In 57 days, which is at the rate of 20, "8 8 or 20,^9 per day. The fwing of the pendulum [ 40S ] pendulum on each fide of the perpendicular during this time, varied between i° 50' and l° 5 5'. Remark. The fame clock, when fixed up at the Royal Obfervatory at Greenwich, before the voyage, with the pendulum of the fame length, got at the rate of 1' 45,8" per day, on mean time, between April 19 and July 18, 1768. Therefore the force of gravity at Greenwich is to that at King George’s Ifland, as 1000000 to 99707];. N. M. Obfervations of meridian zenith diftances of the fun and fixed ftars for finding the latitude of the Obfervatory. Day of Name of the Meridian Latitude Mean the month objeft zen. did. South 1769 D. M. S. D. M. S. May 6 Sun’s lower limb 34 33 7 17 29 17 May ^7 Sun’s upper limb 38 39 10 17 27 52 May 28 Ditto 38 so 0 17 29 9 29 Ditto 38 59 G 1-7 29 2 30 Ditto 39 8 12 17 29 26 31 Ditto 39 16 21 17 29 1 1 June "r t Ditto 40 3 32 17 29 29 8 Ditto 40 9 0 «7 28 42 ' 9 Ditto 40 13 a •7 27 51 // 10 Ditto 40 17 0 17 27 54 . 0 1 1 Ditto 40 21 0 17 27 21 S>i7 28 20 12 Ditto 40 26 0 28 42 13 Ditto 40 29 0 17 28 28 15 Ditto 40 34 0 n 28 14 17 Ditto> 40 36 30 17 27 10 18 Ditto 40 38 30 17 27 59 >9 Ditto 40 39 0 17 27 48 t 20 Ditto- 40 39 30 17 27 54 22 Ditto 40.39 30 17 28 27 25 Ditto 40 44 56 17 27 48 27 Ditto 40 30 0 17 27 33 ' June 21 37. 53 0 '7 30 29 « 22 » Arflurus 37 5° 0 17 27 29 ’ 17 29 0 July 24 37 51 40 17 29 9 4 37 52 0 17 29 29 June 24 27 1 « Lyras 56 56 3 3 20 0 '7 17 29 53 29 33 ] 17 29 43 June 24 28 ■ • y Aquilae 27 27 00 0 17 17 28. 29 45 13 1 17 28 39 June 28 X Aquilae ^5 44 30 17 28 20 17 28 20 June 28 0 Aquila; 23 19 0 17 28 30 17 28 30 June 24 28 ] « Cygni 61 61 56 0 ^4 40 17 17 29 36 28 16 28 56 The [ 4o6 ] 1'lie fup and foregoing ftars pafled the meridian to the North ; the ' following liars palled the meridian to the South above the pole. Day of the month Name of the objeft Meridian zen. dill. Latitude South Mean T769 D. M. S. D. M. S. a ! n June 23 Fomalhaut 1 3 20 0 17 29 37 17 29 37 June 2; .-e Crncis 4.4 20 0 17 28 44 28 44 June 23 y Cruois 38 19 0 17 29 50 17 29 50 June 21 23 j '/3 Crucis 40 54 30 40 54 45 17 30 56 17 30 21 j 17 30 28 June 22 1 a Centaurl 42 22 0 42 21 40 17 29 59 17 30 19 J 17 30 9 June 21 24 27 1 (3 Centauri 41 44 10 41 44 26 41 44,32 17 30 9 17 29 53 17 29 47 |i7 29 56 June z. 24 1 B Gruis 30 33 40 30 3.5 0 17 30 18 J7 28 r8 I 17 29 3« June 23 B Hydri 61 r i 5 17 29 54 17 29 54 June 24 28 j « Pavonis 39 57 3^> 39 44 17 28 5 17 28 57 1 27 28 31 I The mean of the lev’en mean refults from the fun and fix liars, to the North, gives the latitude ry® 28' ^1" S. The mean of the nine re- fults from the nine liars to the South, gives the latitude 17° 29' 38" S. The mean of thefe two means is t7° 29' 15" S. which may be taken for the latitude of the obfervatory. N. B. Before any obfervations were made with the quadrant, the line of collimation was adjulted, by means of a diftant objeft, by inverting the quadrant. Remark. It mull be confefled, that the refults of thefe obfervations (moll of'which were made by Mr. Green) differ more from one another than they ought to do, or than tliofe do made by ptlier obfervers, with c]uadrants of the fame fixe, and made by the fame artill, the caufe of which, if not owing to want of care and addrefs in the obferver, I don’t know how to allign. N. M. Lonar C 407 ] Lunar Obfervations for the Longitude. Month d « Time per clock Alt, or Z.D. of 0 or ;jc Alt. or Z.D. of the S Dilt.of S a.0 or J) and 4: Whether .41f.or Z.D. and whatLimb Error of Quadrant Apparent Time cor. Longitude given . Mean of each days fets 1769 April D 30 16 h / n 22 17 30 22 18 46 22 27 54 0 ' // 49 34 00 31 10 00 52 16 40 0 / // 54 30 50 32 00 10 49 52 50 » / // S7 31 30 26 40 23 55 0’s Alt. L.L. D ’s Alt. U.L. / n j ]) an. 0— 2 30 5 — 5 30 h i n 22 23 40 37 24 46 24 0 / n 149 23 15 20 20 25 45 •j 0 / ff 23 ic| May Regains $ 9 52 57 10 02 34 10 12 57 27 29 40 24 58 20 22 34 20 79 54 00 77 5‘ 40 73 21 CO ’s N. L. 52 33 00 52 38 10 33 01 03 4: ’s Altitude S ’s Alt. L.L. 4c ^ 2 00 • lo 03 19 1 2 36 23 19 148 39 00 149 14 13 39 H9 17 3^1 Antares $ x6 10 44 26 10 59 00 11 09 48 25 17 17 22 07 40 19 51 00 68 14 00 64 33 00 62 27 00 ♦ F. L. 46 44 27 40 00 37 CO ’s Zen. Dili. S ’s Alt. L.L. 4c’sZ.D.-}-2 00 to 54 48 11 09 22 II 20 10 H9 34 15 49 15 07 50 “I '1? M9 20 3c!i ^ R.egulus *7 8 05 46 21 54 30 03 47 28 30 44 35 00 43 06 40 26 33 10 23 23 30 21 II 30 64 29 30 34 55 38 10 4c ’s Altitude D’sZ.D.U.L. 4c ’s Alt. — 2 00 8 1621 22 20 40 38 H9 57 30 43 30 150 30 15 ' '} '50 03 43 3 1]) and 0 '? 26 21 28 51 42 29 55 34 38 22 00 40 31 20 42 25 40 26 35 10 24 03 30 21 03 40 100 37 03 30 45 24 40 G’s Alt. L.L S ’s Alt. U.L. O’s x41r. — 6 00 S ’s Alt.— 5 00 21 43 22 21 55 59 22 09 04 148 or 45 21 43 27 30 548 17 30, -ii IS and 0 CG 28 22 24 35 29 51 39 >9 44 4^ 51 33 43 50 00 46 24 00 47 21 op 47 52 20 48 22 20 32 16 30 31 06 00 28 37 20 27 40 40 26 08 20 75 25 3C 23 50 ’20 10 18 20 15 4c 0’s Alt. L.L. D’s Alt. U.L. S — 4 00 S and 0 + I 00 t 22 38 30 43 46 53 14 5^ 43 23 03 28 149 52 00 30 00 4‘ 45 3c 30 21 50 /I '1 ‘‘ '! 149 33 09 ' Aquilse . S 29 18 49 32 56 38 43 12 20 41 56 20 52 33 40 34 06 40 67 03 30 05 '26 4c ’s AFituce J’s Alt. L.L. S an i 4c -j- I 30 S ’s-Alt. — 4 00 18 32 44 59 50 '49 54 15 50 15 149 32 13d and 0 D 29 22 10 57 18 03 25 28 30 46 35 53 42 36 20 43 36 20 44 29 00 45 lo 20 45 48 00 45 37 40 44 05 -40 42 32 20 41 28 50 40 28 20 62 31 50 20 20 27 40 25 20 23 50 O’s Alt. L.L. S’sAit.U.L. I) ’s Alt.— 4 00 ]) and 0 + I 30 22 I 4 09 21 15 28 46 33 5S 59 05 1 30 03 1 5 149 36 30 28 1 3 42 30 34 30 ■t ■ lit 149-41 24.; 1 June p S and 0 p 1 2 4 18 53 28 1 2 37 56 13 36 00 II 37 00 9 39 50 42 32 20 40 36 40 38 24 00 III 32 30 31- ic 36 2C O’s Alt. L- L. 1) ’bZ.D.U.L. J ’s Alt. — 3 CO D and O + i 30 4 24 17 33 5^ 43 20 131 03 GO 130 19 30 1*8 2 0 150 33 4c p P 13 3 17 21 22 54 29 43 44 3^ 50 48 25 56 40 24 35 50 23 23 40 20 25 20 19 07 00 66 39 40 63 03 20 63 33 20 60 01 40 58 34 4c 122 20 .45 24 20 26 50 32 10 3i CO O’s Alt. L.L. D ’sZ.D.U.L. , 3 22 53 28 23 35 M 50 08 36 20 !i48 43 30 149 35 20 2 2 2 0 08 13 29 00 l^ i.- 1 49 ‘ 5 4 if 5 . *■ Morul /, [ 4o8 ] Lunar Obfervatlons. for the Longitude. h ,, Month , 1769 Spica h ■ , k Fomalh. I I « Aquilae ’ h '■.r '■'I I .! Note. Every line of the Lunar Obfervadons is the mean of three, which we call a fet iVe take three or five fuch lets at a time, and calculate the mean of each feparately. The ground where all the Altitudes were taken, is 13 feet 6 inches above the horizontal level : :he zenith diflances are all taken with the Aftronomical Quadrant. Thefe diftances of the Moon from the Sun and fixt liars, were obferved with a brafs Hadley’s fextant, fitted with ;dge-bars, made by Mr. Kamfden. >N .TJ Q Time per clock Alt. or Z.D. '4 0 or Alt. or Z.D. of the J) Dift.of ]) a.0 or ]) and >}t Whether Alt. or Z. D. and whatliimb Error of Quadrant Apparent rime cor. Longitude given Mean of each Days Sets h t // £> f n 0 / // 0 / // / n h t // 0 / // 0 > // 10 09 3+ 47 59 40 14 26 40 55 33 20 4: ’s Altitude 4c ’s Alt. 4 ^ 00 10 15 40 149 00 51 20 14 45 26 10 I 2 14 00 36 50 J ’sZ.D.U.L. ©and 4: 4 I 30 26 20 '7 30 <7 28 34 43 30 00 10 36 20 40 00 34 40 39 CO 149 18 55 * N. L. 13 27 30 46 46 00 68 20 00 63 08 20 4; ’s Zen. Did. '3 3 3 46 .50 O! IS 38 49 44 20 26 65 53 00 5 10 D ’s Alt. L.L. P and 4: 4 I 30 45 05 26 00 iS 46 56 42 36 00 64 >5 20 3 30 1 2 10 15 150 12 30 * F. L. 15 10 21 51 09 20 27 08 40 51 oi 00 ’s Altitude 4e’s Alt. — 3 00 IS 17 26 150 15 30 20 04 49 5‘ 40 25 24 40 3 03 I)’sZ.D.L.L. P and 4c 4 > 30 27 09 149 52 00 24 27 32 48 22 40 24 02 00 4 47 34 57 46 00 149 57 50 21 46 12 38 41 20 30 49 20 79 45 3« 21 53 37 149 29 00 54 20 39 53 40 29 08 00 42 20 0 ’s Alt. L. L. P’s Alt. — 3 00 22 01 45 34 IS 26 59 42 40 39 00 28 00 10 40 20 D’s Alt.U.L. P and 041 30 07 07 23 15 22 4 03 41 12 20 27 05 00 38 10 1 1 28 33 30 7 4iJ 41 40 00 26 17 20 0 0 IS 13 10 IS 149 26 03 20 36 16 26 56 00 50 01 20 66 54 10 20 43 47 149 09 45 44 07 28 23 20 48 56 20 50 30 Alt* La. i-i. P ’s Alt. — 3 00 51 38 43 00 37 50 3‘ 29 31 40 48 00 40 49 20 p’s AU.U.L. P and © 4 1 30 58 02 12 IS 55 3' 30 25 20 47 14 40 47 26 * 21 03 02 27 45 59 52 31 09 40 46 34 40 45 40 07 23 30 00 149 24 33 21 13 57 33 43 20 40 28 00 39 06 10 O’s Alt. L.L 21 21 44 149 52 30 1 . . 30 23 52 35 24 00 40 4; 40 02 07 p 'sZ.O.cent. 31 39 150 14 45 30 12 [36 2S 20 41 00 20 00 10 * 37 59 10 ‘5 150 05 50 i I Mean of thefe Obfervadons gives George’s Idand to be in Long. 149® 36' 38^' W. of Green-i wich Obfervatory, at J ’s fort. 1! Obfervatiopitf [ 409 ] Obfervations of the Eclipfcs of Jupiter’s Satellites, with refleding Tele- fcopes of 2 Feet Focus, and the Longitude of the Obfervatory thence deduced. 1769 Time clock jer Apparent time cor. h / // h ' K May 10 10 02 30 i6 11 I 16 03 3C Capt. Cook 16 12 I 12 10 27 55 10 37 6 10 28 05 Capt. Cook 10 37 16 27 1 1 1 1 44 44 04 05 II 57 39 ' Capt. Cook II 57 40 pverv clear 1 1 47 15 12 00 51 44 1 1 48 08 Capt. Cook^ 1 2 I June 4 TO 41 19 10 45 31 10 41 28 Capt. Cook 10 45 40 7 02 45 7 08 19 7 02 45 Capt. Cook 7 8 16 18 27 21 14 33 36 H 28 09 Capt. Cook 14 34 24 20 8 55 15 9 I 43 2J 8 46 45 8 53 22 8 47 44 Capt. Cook 8 54 21 July 27 10 48 45 10 56 15 4 12 42 40 12 51 16 6 7 09 20 7 18 16 7 09 25 Capt. Cook 7 18 21 Phenomena and Sat. Emerf. of the ifl; Sat. Ditto Second Satellite Third ditto Firft ditto Ditto Ditto Ditto Second Satellite Firft ditto Ditto Ditto Time at Green, per Naut. Aim. Long. W. of Green, in time 20 44 39 9 59 4 17 6 31 9 58 14 24 31 4* 9 57 41 19 0 2 9 58 19 20 ^3 43 22 47 33 17 16 05 9 57 28 9 56 17 9 57 47 Eclipfe of the Moon. June 18 8 CO 5 8 24 M 00 II 52 30 1 1 58 44 1 1 52 10 1 1 58 24 II 55 37 12 I 48 11 55 10 12 I 21 Beginning of the eclipfe End of the eclipfe Ditto by Capt. Cook The D clear of the penumbra Ditto by Capt. Cook. Mean of the feven obfervations of the firft Satellite, rejefting thofe of the loth and 12th of May, as too near Jupiter’s oppofition to the Sun, gives the longitude of Venus’s Fort 9*' 57' 50"= 149° 27' 30". Add 20" for the correftion of the times in the nautical almanack, as found by the obfervations of March 29 and April 12, at Greenwich, the true longitude will be 9** 58' 10"= 149° 32' 30". Ggg VoL. LXI. Tranfit [ 410 ] . TranTit of Venus by Mr. Green, with a reflecting telefcope of 2 feet focus, magnifying power 140 times. Time per clock h / // 9 21 45 Light thus on the O’s limb, Tab, XIV. fig. 1, 22 00 Certain, fig. 2. 39 20 Firft internal contaCI-of ? ’s limb and the© fee fig-4. 40 00 Penumbra and 0 ’s limb in contaCl, fee fig. 5. r Firft contaCl of penumbra, undulating, but the 1 3 °5 1 thread of light vifible and invifible alternately J 10 53 Second internal contaCl of the bodies 27 30 Second external contaCl 28 16 Total egrefs of penumbra, o’s limb perfeCl App. time J une 2 21 25 40 21 25 55 21 43 15 21 43 55 June 3 3 14 3 3 14 51 3 31 28 3 32 14 Tranfit of Venus by Capt. Cook, with a reflecting telefcope of 2 feet focus, and the magnifying power 140. Time per clock h t n •\ App. time June 2 9 21 50 39 20 40 20 3 10 15 10 47 27-24 28 04 r The firft vifible appearance of ' ? on the G ’s I limb, fee fig. i. f Firft internal contaCt, or the limb of ? feemed I to coincide with the g’s, fig. 2. / A fmall thread of light feen below the penum- I bra, fig. 3. f Second internal contaCt of the penumbra, or the 1 1 thread of light wholly broke J / Second internal contact of the bodies, and ap- | I peared as in the firft J Second external contaCl of the bodies Total egrefs of penumbra, dubious 21 25 45 21 43 15 21 44 15 June 3 3 H 13 3 H 45 3 3^ 22 3 32 2 The firft appearance of Venus on the Sun, was certainly only the penumbra, and the contaCl of the limbs did not happen till feveral feconds after, and then it appeared as in fig. the 4th ; this appearance was obferved both by Mr. Green and me; but the time it happened was not noted by either of us ; it ap- 7 peared 1. I ! C 4” ] peared to be very difficult to judge precifely of the times that the internal conta£ls of the body of Venus happened, by reafon of the darknefs of the penumbra at the Sun’s limb, it being there nearly, if not quite, as dark as the planet. At this time a faint light, much weaker than the reft of the penumbra, appeared to converge towards the point of contadi, hut did not quite reach it, fee fig. 2. This was feen by myfelf and the two other obfervers, and was of great affiftance to us in judging of the time of the internal contadls of the dark body of Venus, with the Sun’s limb. Fig. the 5th, is a reprefentation of the appearance of Venus at the middle of the egrefs and ingrefs, for the very fame phaenomenon was obferved at both : at the total ingrefs, the thread of light made its appearance with an uncertainty of feve- ral feconds ; I judged that the penumbra was in contact with the Sun’s limb 10" fooner than the time fet down above ; in like manner at the egrefs the thread of light was not broke off or diminifhed at once, but gradually, with the fame uncertainty: the time noted was when the thread of light was wholly broke by the penumbra. At the total egrefs I found it difficult to diftinguifli Venus’s limb from the penumbra; which of courfe made the fecond external contadl a little doubtful, and the pre- cife time that the penumbra left the Sun could not be obferved to any great degree of certainty, at leaft by me. Some of the other gentlemen, who were fent to obferve at different places, faw at the ingrefs and egrefs the fame phaenomenon as we did j though much lefs diftindt, which no doubt was owing to their telefcopes being of a lefs magnifying power ; for the penumbra was vifible through my telefcope during the whole Tranfit ; and Dr. Solander, whofe telefcope magnified more than ours, faw it, I have reafon to think, diftindter than either Mr. Green or my- felf; though we both of us faw enough to convince our fenfes, that fuch a phaenomenon did indifputably exift, and we had a good opportunity to obferve it, for every wifhedTor favour- able circumftance attended the whole of that day, without one fingle impediment, excepting the heat, which was intolerable : the thermometer which hung by the clock and was expofed to the fun as we were, was one time as high as 119®. The breadth of the penumbra appeared to me, to be nearly equal to f th of Venus’s femidiameter. G g g 2 Tranfit [ ] Tranfit of Venus by Dr. Solander, with a 9 feet refle£ting tclefcope. Timepei clock h ' >' 9 22 II 9 39 33 9 40 07 3 27 5^ 3 28 15 Firft external contadt plainly convex, a wavering haze feen fome feconds before Ingrefs, light feen glimmering under Venus ? ’s free from the O ’s limb ? *s true limb out g ’s atmofphere out App. time 21 42 28 21 44 2 3 3* 49 3 32 13 Obfervations of the Tranfit of Venus, made by Mr. Charles Green, with Dollond’s micrometer fitted to a refledling tele- fcope of 2 feet focus. June 2 1769. In. pts. ver. In. pts. ver. 0 10 24' 1 0 10 5 ) 0 10 24 ' Venus’s di- 0 10 / Venus’s di- 0 10 24/ ^ ameter mea- 0 10 42 I ameter mea- 0 15 ^ fured off the 0 10 4 r fured on the 0 10 24 i fcale. 0 10 4 1 fcale. 0 10 24 1 0 10 5 \ 0 10 24. 1 0 10 4 J Meano IQ 24,14 Mean o 10 4,50 Half the difference of thefetwo means is + 9,82 ver. = + 8,4'' the correction of the adjuftment of the micrometer to be added to all obfervations made on the fcale ; and half the fum of the two means is 10 pts. 14,31 ver. zz 54,97" Venus’s apparent diameter. After the above meafurements of Venus’ diameter, I fixed my telefcope on an equatoreal ftand, which was ferewed down to a large calk filled with fand and water ; and by repeated trials a day before, an objeCl (as the fun) would move on along the wire a quarter of an hour without any fenfible difference. Thus equipped, I took the following obfervations, a careful perfon noting the time by the clock and another writing down. By re- peated [ 413 3 peated trials fome days before, I found the telefcope at diftimfl vifion, when it ftood at O on the fcale j therefore I put it to this before I meafured Venus’s diameter. I read them all off myfelf and faw each written down. Time by the clock Apparent time Mcafure by micrometer D°,red.&cor. in min. & fee. H M s H M s In. pts. V. M s 22 35 28 22 39 24 0 50 18 3 57-A 22 41 0 22 44 56 0 5° 15 0 0 S4»8 Difference of declination between the 22 45 34 22 49 30 0 SO 12 3 52.3 ►North limb of Venus and the North limb 22 5° 54 22 54 50 0 50 20 3 59»i of the Sun. 22 57 44 23 I 40 0 50 8 3 4«:8 J Dilfance of the Eallern limbs of the Sun 23 6 47 23 10 43 I 75 2 12 37>7 and Venus in lines parallel to the equator; 23 II 5 23 15 1 I 75 18 12 51^4 ,or rather the tranflation of Venus, in order 23 14 51 23 18 47 I 80 7 13 3’3 to produce an artificial internal contact with the Sun to the Eafi. 23 18 36 23 22 32 2 35 19 17 8,5. Diftance of the Weftern limbs of the Sun 23 23 21 23 27 17 2 30 i6 16 44,5 ^and Venus in lines parallel to the equator. 23 25 49 23 29 45 2 30 0 16 30.8 J 23 31 9 23 35 6 0 55 24 4 23,8 Difference of declination between the 23 35 50 23 39 47 0 60 3 4 27,3 ^Northern limbs of the Sun and Venus. 23 40 9i 23 44 6 0 60 5 4 29,0 23 45 2 23 48 59 3 75 12 27 0,5 Difference of declination between the 23 47 53 23 51 50 7 kJ 75 27 2,2 ► South limb of the Sun and the North limb 23 50 0 23 53 57 0 0 75 7 26 56,2 J of Venus. 1 I I now took my telefcope from the equatoreal (land, and placed it on its own proper ftand and took the following obfervations. June 3 . 1769 0 2 10 0 6 7 0 80 3 5 52,7 Neareft diff. of G ’s N. limb from ? ’s S. limb 0 7 53 0 1 1 5° 0 0 75 2 26 51,9 Greateft difi. of G ’ s S, limb from ? ’s N. limb 0 1 1 42 0 IS 39 0 80 2 5 51,8 Neareft difi. of G ’s N. limb from ? ’ s S. limb 0 14 17 0 18 14 3 75 3 2b 52,8 Greateft dift. of G ’ s S. limb from ¥ ’s N. limb 0 18 19 0 22 16 0 80 0 5 50,1 Neareft dift. of Q’t N. limb from ¥ s. limb 0 20 14 0 24 1 1 3 70 16 26 42,5 Greateft dift. of O’i ;S 1 imb from ¥ ’s N. limb 0 23 13 0 27 10 0 80 t 5 5S>2 Neareft dift. of G ’s N. limb from ¥ S. limb 0 25 281 0 29 25 3 70 18 26 44-2 Greateft dift. of G ’ sS. limb from ¥ ’s N. liub 0 27 37 0 31 34 0 80 5 5 54,4 Neareft dift. of G ’s N. limb from ¥ ’ s S. limb T me [ 4H ] Time by the clock 1 Apparent time Mcafure by micrometer D°.red,&cor. in min. & fee. H M s H M S In. pts . V. M s 0 29 35 0 33 32 3 70 20 26 45»9 0 34 18 0 38 *5 0 80 5 5 54'4 0 36 59 0 40 56 3 70 19 26 45,1 0 38 c* oX 502 0 42 50 0 80 3 5 52t7 0 40 37 0 44 34 3 70 24 26 49’3 0 42 19 0 46 16 0 80 4 5 53’5 0 44 34 0 48 32 3 70 23 26 48,5 0 46 12 0 50 9 3 75 0 26 50,2 0 48 1 1 0 52 8 0 80 0 5 50,1 0 58 '3 I 2 10 0 75 25 5 4I>6 1 0 55 I 4 52 3 75 10 26 58,8 ' I 3 4 I 7 I 0 75 9 5 36>5 1 5 51 1 9 48 3 75 25 27 3,0 I « 2l| 1 12 19 0 75 2 5 3°»5 I 10 47 I 14 44 3 75 21 27 8,2 f 12 34 I 16 3* 0 70 21 5 25t4 1 ^5 57 t ^9 54 3 80 8 27 18,3 < I »7 12 I 21 c j 0 70 16 5 21, J 1 19 34i I 23 32 0 70 15 5 20,2 At the * - O '' I ~ j aft obfervation 1 looked at Greateft dift. of 0 ’s S. limb from ? ’s N. limb 1 0. iimotrom ¥ s iimo N, limb from ? ’s S. limb was 1 1 3 degrees high. , I meafurcd the following horizontal diameters of the With my lelefcope as before Sun and Venus. ■ 4 35 24 4 35 24 4 40 o 4 40 o 4 35 24 4 35 24 4 40 o The Sun’s horizontal diameter. Mean 4 35 24,43 31 27,4 0 10 24 *1 0 10 3 0 10 23I Venus’s diame- 0 lO 4 Venus’s diame- 0 0 ^ tir meafured off O 10 4 | - ter meafurcd on 4* 0 0 I.H M 0 0 the fcale. 0 10 5 j 0 10 6 ' 0 lO 3 the fcale. Mean o lo 24 Mean o 10 4,16 Half C 4*5 ] Half the difference of thefe two means, is -f 9,92 vern. = -|-8,5" the correction of the adjuftment of the micrometer, which only differs -rVth of a fecond from what was found by the meafures of Venus’s diameter before. Half the fum of the two means is 10 14,08 = 54,77" Venus’s apparent diameter, which was found before C4,97". The mean of the two refults is 54,87" or 54,9". After the laft meafurements of the Sun and Venus’s diameters, I replaced my telefcope on the equatoreal ftand, and took the following obfervations. lime by Apparpnt Meafure by D®. red. & cor. the clock time micrometer in min, & fee. H M S H M S In. pts. V. M S 1 59 37 2 3 35 0 85 2I| 6 29,9 Dift. of W. L. ofO and ? in lines paral). to the equat. 2 6 32 2 10 30 3 45 0 24 42,0 Dift. of E. L. of 0 and ? in lines parallel to the equat. 2 lO 44 2 14 42'o 05 10 7 2,8 Diff. of declin. of N. L. of 0 and $ 2 14 30 2 18 28 3 25 4 23 20.0 Diff. of declin. -of S. L. of 0 and ? 2 17 55 2 21 53 10 2 7 ^7»3 Diff. of declin. of N. L. of 0 and $ 2215 2 25 3 3 25 I 23 i7’5 Diff. of declin. of S. L. of G and ? 2 24 7 2 28 50 75 20 5 45.9 Dift. of W. L. of 0 and $ in lines par. to the equat. 2 27 54 2 3* 52.'3 65 0 26 7,4 Dift. of E. L. of 0 and ? in lines par. to the equat. Here follows the Table of the value of the fcale of the objeCl glafs micrometer, wliich was delivered in by Mr. Short, together with the telefcope, by which the reduCfions of the foregoing obfervations were made. Table for the objeCt glafs micrometer j the focal length of which objeCl glafs is = 482,867 inches. Inches Correfponding angle in min. and fee. Dec. of an inch Angle in min. and fee. Parti of the ver. Angle in feconds / // / // n 1 ' 7 7.2 >05 0 21,4 I 0,9 2 H *4>3 ,10 0 42,7 2 *./ 3 21 21,4 .15 I 4.1 3 2,6 4 00 00 "0 ,20, I 25.4 4 3.4 5 00 to to I 46,8 5 4.3 .30 2 8,1 6 .35 2 29.5 7 6,0 ,40 2 50.9 8 6,8 .45 3 12,2 9 7.7 >50 3 33.6 10 8,6 .55 3 54.9 1 1 9.4 ,00 4 16,3 12 10,3 .65 4 37.6 13 1 1,> .70 4 59.0 •4 12,0 .7 5 5 20,4 1 5 12,8 ,«o 5 41.7 10 •I 3,1 .85 6 3.1 17 14.5 ,90 6 24.4 1 8 15.4 .95 6 45.8 19 16,3 20 17. t 2 1 18,0 22 18,8 23 ‘9.7 24 2^.5 Obfervations [ 4i6 ] -Obfervations on the Tranfit of Venus, June 3, 1769, by Dol- lond’s micrometer fitted to a reflecting telefcope of 18 inches focus, by Capt. James Cook, Venus’s diameter, foon after the ingrcfs. OIF thefcale On thefcale In. Dec. Ver. O 10 4 o 10 3 o 10 4 o 10 4 o 10 3I In. Dec. Ver. o 10 4 o 10 6 o 10 6 O lO 5 o 10 si By thefe meafurements the correc- ^ tion of adjuftment of the micrometer — o| of a divifion of the vernier, and ? ’s diameter 10 d. 4§ v. = 56,8. June 2 Time per Gl. b / 23 23 23 23 I 46 8 36 lO . H ^ 23 24 36 23 26 38 .23 29 38 23 31 54 Appar. Time In. D. V. M S h ! / 23 6 57 3 20 20 28 6,6 23 10 42 3 20 18 28 4,6 23 14 4 3 20 IS 28 1,4 23 18 32 3 20 10 27 56,2 23 28 32 0 55 23 5 8,8 23 30 35 0 60 3 5 14,0 23 33 35 0 60 4 5 i5»i 23 35 5» 0 60 9 5 20,3 Greateft diflajice of f and O in outer contadl. Leafl: diflance of ? and O in outer contact. OflF the fcale Venus’s diameter June 3. On the fcale In. D. V. o 10 2 1 2 2 In. D. O 10 V. By thefe meafurements the cor- redlion of adjuftment is — 25 and Venus’s diameter 0 10 4 = 56,"28. Mean o lo i| o 10 6| The Sun’s horizontal diameter at 0'' 22'. In. D. V. 2 60 18 16 '9 17 The C 417 3 The Sun’s horizontal diameter at o'* aa'. la. D. V. 16 17 20 18 17 20 21 In. D. V. Mean 3 60 18 From which fubtra£l 2| leaves 3 60 15I Time per Cl. App. Time Meafure by micrometer D°. red. and corrected h t // b / In. D, V. M s 1 4 29 I 8 26 3 10 li ^■7 7 17 I II 14 10 18 27 ii^S 8 33 I 12 30 3 10 23 27 16,3 1 14 16 I 18 *3 0 60 IS 5 25,1 15 45 I 19 42 0 60 IS 5 2S’I 16 55 1 20 52 0 60 9 5 18,8 I 25 25 I 29 22 3 '5 18 27 37>2 I 27 29 I 31 26 0 55 18 5 2,3 1 32 15 I 36 13 3 20 I 27 45G 1 34 12 I 38 10 0 55 4 47^7 1 5 1 40 3 3 20 10 27 54.9 I 38 19 I 42 17 0 55 0 4 43’5 I 40 5 I 44 3 3 20 IS 28 0,1 1 41 48 I 45 46 0 50 21 4 39.4 I 43 24 1 47 22 3 20 22 28 7.4 I 46 c I 49 58 0 50 IS 4 33’i The Sun’s diameter at 2 60 18 18 1 1 Grealeft diftance of ? and O in outer contadf. Leaft diftance of $ and O in outer contadt. Greateft dift. Leaft diftance Greateft dift. Leaft diftance Greateft dift. Leaft diftance Greateft dift. Leaft diftance Greateft dift. Leaft diftance of the limbs of the Sun >and Venus meafured ex- ternally. 2^ I o'. i6| 17 17 20 16 Mean 3 60 i7| from which fubtradl 3I leaves 3 60 13I VoL, Lxr H h h Vcni's’i [ 418 ] Venus's diameter. 0 10 2 0 10 8 5 24 6 S 24 8 10 0 8 0 0 0 0 10 7| By thefe meafurements, the corre£lion of adjuftment of the micrometer, is — 3I and Venus’s diameter 10 D. 3I V.:=^6",o2. The mean of the three feparate dcdu<5tions of Venus’s obferved diameter, is 56", 4. A T ABLE for reducing the foregoing obfervations deduced from the meafures of the Sun’s horizontal diameter, fuppofed =31^ 3*^^* lacbet Angle Decimals Angle of an In. 9 99 M S I 00 .05 0 26,1 2 17 22,2 ,ro 0 52,1 3 26 3,3 I 18,2 ,20 I 44,2 j25 2 10,3 j3o 2 36.3 »3S 3 2,4 ,40 3 28,5 j4S 3 54.5 4 20,6 »SS 4 46,6 ,60 5 12,7 5 38.7 j7o 6 4,8 »75 6 30,8 ,80 6 56,9 .85 7 22,9 ,90 7 49.0 • >95 8 15,1 1,00 8 41,1 Div. of Vern. 2 3 4 5 6 7 8 9 10 11 12 *3 H 15 16 *7 18 19 20 21 22 23 24 25 Angle s i»o 2.1 3.1 4.2 5.2 6.2 7.3 8.3 9.4 10.4 *1.5 12.5 13.5 14.6 15.6 16.7 17.7 18.8 19.8 20.8 21.9 22.9 24.0 25.0 26.1 N. B. The obfervations made by Mr. Green with DoIIond's micrometer, particularly thofe concerning the difference of decli- nation of Venus and the Sun’s limbs, and the diftances of Venus from the Sun’s limb in lines parallel to the equator, will be better underftood by confulting a paper intiticd Dire£lions for obferv- ing the Difterences of Declination &c. with DoIIond’s Microme- ter, by N. Maflcelyne, Aftronomer Royal, a copy of which was given to Mr, Green, before his departure from England ; which will appear in this volume, Obferva- 7 [ 4»9 ] Obfervatlons on the Dipping Needle. Time when Place where. Dip of the North or South pOiUt 1768 Sept. 13 In Funchal Bay, dip of N. end of needle 0 / 77 .. Oilober 23 Crofting the line in long. 30° 18' W. ofGr;enwIch 26 to 28 N. point 1769 January 10 At fea in lat. 52° 54' S. and long. 63° 10' W. 63 S. point 20 Good Succefs Bay in Straits Le Maire 68 51 Ditto 24 On board the fhip at anchor in the above bay 65 CO Ditto 30 At fea in lat. 60° 04' S. long. 74° 10' W. 65 17 Ditto March 3 Ditto, ditto, 36 49 S. ditto iii 54 W. 65 52 Ditto 13 Ditto, ditto, 30 46 S. ditto 125 28 W. 64 25 Ditto April 5 Ditto, ditto, 18 25 S. ditto 140 5^ 30 00 Ditto N. B. Each of the above Obfervations is the mean of ten, twelve, or more ; with the face of the inftrument turned alternately Eaft and Weft : thofe made at Tea are a little dubious on account of the motion of the fiiip ; but, by means of a fwinging table we had made to fet the compafs upon, we could, in a tolerable fmooth Tea, be certain of the dip to a degree, or at the moil two, by taking the mean of a great number of trials. 1769 May 30 George’s Illand 26 South point Face Eaft Weft 40 Eaft Weft 29 29 30 10 31 45 31 00 31 00 30 30 40 30 18 30 2^ 30 21 30 40 31 00 30 42 30 45 31 30 31 50 30 16 30 16 30 48 31 45 Eaft Weft Eaft Weft Eaft Weft Eaft Weft Eaft Weft Eaft Weft Eaft Weft Eaft Weft Eaft Mean 3° 43 H h h ;; Obfcrrationt [ 420 ] j77<5 January ig, in Queen Charlotte’s Sound, lat. 4.1® 5' S. long. 184 3^ W. The dip of the South end of the needle 54° 40'. Obfervations on the Dipping Needle. O t May I Botany Bay Lat. 34 00 S. Long. 208 37 W. 67 20 66 40 66 5^ 67 08 South Point Face Eaft Weft Eaft Weft Mean 67 or July 18 Endeavour River Lat. 15 26 S. Long. 214 48 W. 36 K South Point Face Weft 40 Eaft 06 Weft 35 14 Eaft 35 14 Weft 36 00 Eaft 00 Weft Day of the month 1769 June 4 6 9 10 12 *7 18 19 20 Mean 36 o James Cook. Obfervations on the Tides at K. Georges Ifland. Time of low water Time of high water Height of tides The moon pafTes The moon paffe* the inerid. above the merid. below the horizon | the horizon H M H M Inches H M H M 6 0 A. M. Noon 0 36 P. M. 6 0 A. M Noon I 40 P. M. 7 30 A. M. 2 40 P. M. 8 0 A. M. 1 43 P. M. 9 3 34 P. M. 8 41 A. M. 2 10 P. M. Si 4 25 P. M. 8 42 A. M. 3 1 5 P. M. 95 1 2 P. M. - 4 0 P.M. Si 5 57 P. M. 5 oP.M. 7 23 P. M. 7 41 A. M. 8 ^9 A. M. 8 40 A. M. I 16 P.M. 9i 10 30 A. M. 8 50 A. M. 1 1 40 A.M. 1 0 1 1 38 A. M. 8 10 A. M. 0 15 P.M. 9 0 ^7 A. M. 8 0 A. M. 0 30 P. M. ' w atcr ftands water ftands at f inches at 14 inches 1 ^ I 26 P. M. fOn mark on mark Obfervations [ 421 ] Obfervaiions on the Tides at K. George’s Wand. Day of the month Time of low water Time of high water height af tides The moon paffesj he merid. above the horizon The moon pafles the merid. below the horizon 1769 H M H M Inches H M H M June 21 7 30 A. M. water at 5 in. 2 4 P. M. 22 8 30 A. M. water at 5 in 2 50 P. M. ^5 10 15A.M. 5 8 P. M. 27 7 0 A. M. I2| 6 19 A. M. 28 8 0 A. M. •3 7 II A. M. July 2 6 30 A. M. Noon II 13 A. M. 3 6 30 A. M. 0 30 P. M. 1 water at water at f* 0 15 P. M. 3 inches I 3 inches 4 7 15 A.M. I 0 P. M ] water at water at r I 13 P. M. 3 inches 13 inches 5 7 30 A. M. 2 7-P. M. water at 3 inches Hence the mean height of the fides is about lo inches, and the greateft height fcarcely exceeds one foot, in the middle of this wide-extended ocean ; which falls far Ihort of what might have been expeded from phy- fical principles. The caufe of this remarkable differenee deferves farther inquiry. The time of high water alfo appears to precede the moon’s pairing the meridian by 45 minutes at a medium, and the time of low water to precede the fame, by 6*' 31'. But the mean difference of high and low water, Ihould be 6'’ 12', which fubtraded from b** 31’, leaves o'’ 19^ by which the time of high water fliould precede the moon’s pairing the meridian ; the mean of this and o'* 45' is 32', by which the time of high water precedes the moon’s palling the meridian, by a medium of all the obfervations. The times of high and and low water feern to be fubjed to great irregularity on particular days ; no dou-bt owing to the fmall rife of the water, and the fmallnefs of its force in confequence, which renders it more liable to be difturbed by the adion of the winds and other caufes ; part of the irregularity may be attributed to the difficulty ot obfervmg the time of the liocd or ebb, with any degree of certaimy. N. M. N. B. The llland here named King George’s Wand, is called by the natives Ota-hcite, by which name it wiil henceforth be calkd, the name of K. (leorge’s Wand having been given before to another ifland in lar. 148. difcovered by Commodoie Byron. Mr. Green ha-ing died at fea in the palTage home from Batavia, all the altronpmical and other obfervations were partly arranged by Capr. Cock, and partly ty the Aftronomer Koyal, from the original manufeript-, and calculated by the latter. Real 6' C +22 ] Read November 21, 1771# KLIV, V ariationof the Compafs^ as obferved on hoard the Endeavour Bark^ in a V oyage round the W irld. Commtmkated by Lieut, James Cook, Cotn?7tander of the faid BarL ^ N. B. TH‘E day of the month is noted according to the nautical account, which therefore in all the oblervations noted P. M. is one day for- warder than the civil account. I'he latitude in is deduced from the laft preceding meridian altitude of the fun ; and the longitude in is corrected by the laft obfervations of the diftances of the moon from the fun and ftars. Time 1 Lat. in ' 1768 Auguft 8 September 5 6 7 P A M. 1 ..M. J P. M. 1 A.M. J 9 ic II 20 22 North Long, in Variation Weft Weft from Greenwich lannel Englifli C C. Fineftre S. by | W. 6 leagues 42 40 29 37 4 36 46 35 40 34 58 34 20 9 xo 1 1 1 1 ^3 '3 50W 1 1 34 58 4 50 How found I Means 14 20 Funchal ifland of Madeira 32 33 33h<5 49 Funchal idand of Madeira N. 76 E. dirt. 19 leag. Salvages S. dirt. 9 or 10 leag. pr. Azimuths Azimuths Azimuths Azimuths Azimuths Amplitudes Azimuths 1 & Amplitudes J pr. Azim. & 1 pr. Amplitudes J pr pr pr, pr pr pr, pr. Azimuths pr, A:^imuths 23 o W, 18 42 21 40 21 4 19 50 21 19 20 39 18 32 17 27 15 30 16 30 17 50 Remarks From the Downs to Madeira Thefe are taken from Dr. Hebrr- den, F. R. S. who rcfidcd upon the illand. Time Time Lat in Lon. In 1768 North Weft September 0 f 23 29 40 15 30 P. M. Do. A. M. 29 7 15 50 24 P. M. 1 Pico Teneriff N. i8 E Diftance 140 miles 24 A. M.^ z6 50 17 12 25 P. M. 25 20 18 50 28 J A.M. 20 56 20 40 1 P.M. 19 33 20 50 29 < P. M. Ddfober 18 38 21 0 I jP.M. 15 40 22 0 lAM. 14 35 22 8 by another Compafs 3 12 24 22 22 5 P. M. 1 1 53 22 0 6 A.M. 9 45 22 20 8 r P. M. 9 42 22 19 1 A.M. 8 46 22 4 r P.M. 8 12 22 4 9 1A.M. 8 6 22 *3 10 P. M. 7 48 22 13 ^3 P. M. 7 13 22 33 lb P. M. 6 50 23 46 21 3 4 26 30 22 A. M. 2 0 27 55 25 P. M. 0 55 28 55 C 423 ] Variation How found Means { pr. Amplitudes pr. Azimuths 1 pr. Azimuths J pr. Amplitudes Ditto pr. Amplitudes pr. Sev. Azim. Ditto pr. Azimuths Ditto Ditto Ditto Amplitudes J } pr. Azimuths pr. Amp. 5 59 pr. S. Az. 6 21 Ditto Ditto 8 12 7 47 Ditto 8 22 8 20 pr. Amplitudes 7 48 pr. Sev. Azim. Ditto Ditto Ditto Amplitudes ' 3 ^3 pr. Azimuths 3 21 . pr. Am. 2 16 ■ pr. Azimuihs Ditto 2 33 1 ^7 17 17 18 16 16 15 14 'S 12 12 12 10 10 1 1 8 30 W. 00 15 30 30 43 46 58 I 46 43 33 37 o 40 49 6 10 8 Si 9 o 8 o 8 2I| 7 48 8 39 8 54 8 40 4 i 3 17 2 24I Remarks Found by taking the 0’s Azim. at /equal Altitudes, before and after- *' noon. Paffage to Rio de Janeiro. Towards Ri» Janeiro. Ttlne [ 42+ ] Variation Time Lat. in lion. in 1 How found j Means 1768 Odober 0 / 0 / 0 / South Weft 27 A. M. 2 3 31 0 Ditto 2 48 W. 29 P. M. 3 59 32 30 Ditto 2 25 30 P. M. 5 46 32 48 pr. Sev. Azim. I 31 31 P. M. 7 30 33 4 Ditto 0 *5 November r P.M.l 9 22 33 Ditto 0 58 Ha.m.j Ditto 0 18 2 P. M. 10 3 33 0 Ditto 0 34 E. 3 P* 12 27 33 0 Ditto 0 47 4 P, M. 15 25 33 40 Ditto I 23 7 P. M. 18 30 36 10 Ditto 4 41 J P. M. ^ lA.M. 20 4 37 ^8 Ditto 5 26 21 16 37 50 Ditto 7 52 J2 P. M. Cape Forio W.N.W. dift. leagues 6 40 13 P. M. f Entrance Rio de Janeiro 1 1 W.N. W. dift. 5 leagues J 7 34 December ^ fP. M. 25 44 41 4 pr. Amplitudes 8 40 1 A. M. 26 0 41 20 pr. Sev. Azim. 8 23 J3 P. M. 26 34 41 33 Ditto 8 23 16 P. M. 30 20 41 49 Ditto 9 3^ 18 P. M. 32 30 42 48 Ditto II 3 19 P. M. 32 54 43 38 Amplitudes II 3 20 P. M. 34 34 f5 38 pr. Sev. Azim. 13 44 f P. M. 22 15 I LA.M 37 8 49 I pr. Amplitude J 16 I f P. M. 37 8 49 0 rpr.Az.i c24't Amp. 16 5 J 15 45 1 A. M. 36 46 49 2 pr. Amplitude pr. D®. 16 I2'| 15 30 29 P. M. 41 40 5^ 25 pr. Azimuth > 16 22 t6 32J pr. D°. 18 44^ 18 36 31 P. M. 42 40 60 25 pr. Amplitude ? 1 18 22J Remarks }In foundings off the coaft of Brazil. PafTage to Terra dell Fuego. In foundings off the coaft of South A- mcrica. Time [ 425 ] I ime iy6g January 5 P-M. 9 P. M. 10 P. M. 1 1 A. Al. 2! A.M. 22 A. M. 24 25 A. M. 28 P. M. 30 P. M. February 1 P. M. 3 P- M. 13 P. M. f P. M. *51 A M. Lat. ill South 48 42 51 30 52 40 54 o Lon. in Weft 60 51 63 30 6jj 20 67 30 Variation How found I Mean } 57 o 60 10 59 23 58 30 49 ^3 48 56 48 10 21 A’. M. 44 39 23 P. M. 39 43 27 A. M. 39 43 March 4 P. M. 36 49 8 P. M. 37 8 9 P. M. 37 24 10 P. M. 35 30 1 1 Ditto 34 0 12 Ditto 32 40- M. 3* 20 23 1 A M. 30 56 pr. Am. 20 o 'Amp. 20 9 pr. Several Az. ■ Ditto Ditto 10 leag. from Terra del Feugo J Strait le Mare Ditto 65 45|per Several Az. Near fome ifle on the coaft of Tertadel Feugo E. of C. Horne.. 56 7 55 40 55 40 •ditto 20 4fE 22 21 24 57 23 30 24 25 21 9 4 69 o 74 26 i 76 45 80 58 89 36 91 27 92 o 103 o • 05 5^ no 2^ III 54 1 16 8 117 41 119 30 121 123 124 40 123 20 pr. everal Az. Ditto Ditto Ditto Ditto Ditto Ditto Ditto Ditto pr. Amp. 2 pr.Azim.2 24 >7} 24 J Ditto 2 Amp. 2 46J pr. Several Az. Ditto Ditto Ditto Ditto Amplitudes pr. Azimuths 21 i6 22 27 24 24 17 12 a I 6 5 o 9 53 4 o o o 3® 34 20 I ' z 2 26 13 41 42 I2 23 20 O HetnaUcs ■ Here the varia- tion feems to be afFedled by the land, as thele ob- fervations were well nude. Paflage from Cape Horne to Ota-hicee. ( Mean rcfult of I .many.azim.ihefea b calm and fmooth. f Pafrage from Cap4 ■j Horne to Ota* t hitee VoL. LXI. li i 1 ime \ Time Lat. in Lon. in 1769 March 0 / 0 f icJ rp. M. South 30 30 126 0 *51 LA. M. 29 36 126 50 i6- [P. M. 29 32 126 48 La. m._ 29 28 127 4 17 P. M. 29 10 127 16 19 A. M. 27 40 129 20 21 A. M. 25 21 129 28 3 2' Ditto 25 21 129 32 28 P. M . 21 14 127 38 29 P. M. 20 29 127 44 3^ P. M. 19 30 129 lO April I P. M. 19 7 131 40 J r p. M. 18 46 138 0 + 1 L A. M., 18 36 139 .10 P.- M. 18 36 139 40 8 P. M. 17 48 143 50 9 P. M. 17 36 14s 30 10 P. M. 17 42 146 i'6 1 1 P. M. 18 0 147 59 Auguft 17 29 149 30 10 A. M., 17 15 151 41 13 Ditto 21 20 151 15 ^5 P. M. 22 8 1-50 55 A. M. 23 37 150 37 .8] r p. M. 26 10 149 46 lA. m. 26 30 Ditto 23 P. M. 30 43 148 0 24 A. M. 32 40 147 14 27 Uitto 33 8 H7 25 30 Ditto 38 3 147 6 September 5 P- M. 38 29 145 32 *3 Ditto 33 0 153 [ 426 ] Variation ' Remarks How found Means pr. Azimuths 0 r 3 45 E. r Ditto 3 22 pr. 21 Azimuths I 30 Ditto 2 18 1 Ditto 3 27 Ditto 3 H Amplit. 3 o\ pr. Azim.3 43/ 3 2i| Azimuth 3-10 Amplitudes 3 56 1 pr. Several Az. 2 27 Ditto 2 25 Ditto 2 32 Ditto 2 54 Ditto 2 54 Amplitude Several Azim. 3 30 6 32 4. 54 Ditto Ditto 5 41 ' On fliore at Fort’ Ditto 6 30 4 45l Venus by four of Meridian line < Ur.Knight’scom- pafles, which pr. Several Az. 5 50 appeared to be alli Ditto ? 40 good. Amplitude 5 37 From the Society Hies to New Zeland.- Ditto 6 7 Ditto 8 8 Ditto 7 58 f Azimuths 7 30 Ditto 7 ^8 Ditto 6 40 Ditto 7 9 Ditto 7 0 Ditto 8 8 Time [ 427 ] Time Lat. in 1769 September e / South JP. M. 29 0 *9 lA. M. 29 0 25. P. M. 33 30 October 3 P.M. 36 50 4 P. M. 37 6 Jp.M. 38 33 Ia.m. 39 0 7 P. M. 39 11 15 P. M. 39 37 17 A. M. 40 0 November 9 36 48 25 35 50 26 35 15 28 35 0 December 8 34 42 10 P. M. 34 40 1 1 P. M. 34 40 25 A. M. 34 0 1770 January 6 A. M, 35 8 JP. M. 38 12 ^ 1 A. M. 39 0 14 P. M. 39 40 I ^ A. ivi . 40 30 February II A. M. 41 0 12 P. Ad . 41 26 14 Ditto 42 8 Variation Lan. in How found Means a ’ 159 4'z 159 25 163 40 pr. Amplitudes pr. Sev. Azim, Ditto 8 36 E. 8 29 10 48 173 46 174 46 179 o 180 o 180 30 182 30 182 o Ditto Ditto Ditto 12 50 1 Amplit. 12 48 J I Ditto Azim. 41 Ampl. 15 5 J Azimuths Ditto 13 22 12 48 ‘2 59 14 2 15 4i 14 10 10 22 184 12 185 15 Ditto 185 30 Several Azim. Ditto Amplitudes pr. Azimuths 11 9 12 40 13 10 II 45 185 30 186 15 186 45 1 88 o pr. Amplitude Azim. 12 40 Ampl. 12 40 Amplitude Several Azim. } 12 51 12 40 12 20 II 25 188 o 185 3 Ditto Ditto 186 o pr. Ditto' Ditto Ditto Amplitudes Azimuths 12 26 '5 o H 15 13 o 13 5 183 o 184 , o 184 15 pr. Amplitudes Ditto Azim. 15 8 1 Amp. 15 o J •4 14 o o 4 Remarks In light of the Eail coaft of New Zeland. Eaft coaft of New Zeland. On ihore in Mer- cury Bay, N, W. coaft. Off" the Northern K parts of New Zeland. ' Weft coaft. li i 2 Time C 428 ] Variation Time Lat. in Lon. in How found j Means 1770 I'ebruary 0 / 0 / 0 f South 17 A. M. 44 0 186 30 Ditto 14 3^i 1 Ditto 14 16 J 14 24 E. 18 Ditto 45 0 186 15 pr.. Amplitudes 15 36 March I P. M. 47 34 187 30 pr. Azimuths 16 34 4 A. M. 46 30 189 0 Ditto 16 16 / P. xM. 7 lA. M. 4^ 54 191 0 Amplitude 15 10 47 0 Ditto pr. Azimuths *5 5^ 9 P. M. 12 191 30 pr. Amplitudes 16 29 15 P. M. 45 0 192 30 Ditto '5 2 16 Ditto 44 27 191 *5 pr. Azimuths *3 48 25 A. M. 40 30 186 0 pr. Amplitudes 12 20 April 7 P. M. 37 15 196 40 Several Azim. 13 50 8 P. M. 37 40 197 40 Ditto 13 56 10 A. M. 38 45 202 23 Ampl. II 25 1 Azim. II 20 i II f P. xM. 39 ^5 203 40 Amplitude 1 Azimuth J 12 £5 lA. M. 39 23 204 0 Ditto I2 29 14 P. M. 39 24 204 4 Amplitude II 28 A. M. 39 23 ■ 204 15 Azimuth 11 go 20 A. M. 37 0 2ia 0 Ditto 10 40 21 P. M. 36 35 210 0 Ditto 10 42 22 A. M. 35 35 20Q 2q Ditto 9 50 24 Ditto 35 35 209 0 Ditto 7 41 rp. M. 35 18 209 I I Ditto 9 *5 ^5|a. M. 34 0 208 50 Ampl. 9 36 1 Azim. ^ 7 j J 9 2 1'f 26 P. M.- 34 18 208 49 Several Azim. 8 48 May Ditto f P. M. 7 1 A. M. 33 50 208 37 • 8 0 33 22 2q8 20 D®. with needles >7 56 8 P. M. Ditto Ditto Azimuths 8 25 10 33 13 207 20 Ditto 8 0 n A. M. 32 40 206 36 pr. d°. .and Amp. 9 10 18 26 20 206 46 pr. Azimuths 8 40 fP. M. 25 34. 206 45 Ditto ■8 36 '9|a. M. ^5 24 206 38 pr. Amplitudes [ pr. Azimuths j 8 2lJ Remarks > £a/l coaftt I" Weft coaftj Between New > Zeland and New Holland. CoaftofNew South Wales on the Eaft coaft of New Holr land. Mean of all the Compaftis. Time C 429 ] Time Lat. in Lon 1770 May 0 / 0 20 P. M. South 25 12 22 • fP. M. 24 34 307 L A. M. 24 25 208 26 P. M. 23 24 209 3 June A. M. 20 20 211 5 A. M. 19 18 212 6 A. M. 19 4 212 rp. M. 19 0 213 7] LA. M. 18 52 213 9 A. M. Auguft 23, P. M. 27 A. M. 28 P. M. September 2 P. M.. 3 Ditto 4 P. M. 9 P. M. 10 A. M. 13 Ditto 14 Ditto 17 P. M. 24 Ditto 27 Ditto 1771 January 27 P. M. February 3 P- M. 7 P. M. J4 P.'M, in 59 10 36 to 3 9 51 7 39 7 2 6 18 9 36 9 '50 9 40 9 5P 10 8 1 1 10 III 10 10 IS 52 18 34 21 56 213 20 30 50 15 35 55 Variation Flow found Means 219 8 220 45 221 5 222 40 222 30 222 10 232 13 232 57 235 45 235 45 236 o 241 30 246 50 256 32 264 36 274 50 287 10 pr. Azimuth pr. Amplitude Azimuths Ditto Ditto Amplitude Ditto Amplitude Ditto Ditto Amplitude Ditto Ditto Ditto Ditto Ditto Azim. o 12 Amp. o s Ditto Amp. I 10 Azim. I 27 Amp. and Azim. Amplitude pr. Several Azim. Ditto Ditto Ditto Ditto Ditto 8 45 E. 8 3 7 50 7 28 57 35 31 25 o 53 Remarks 2 54 2 30 2 SI 2 34 2 4 2 30 o 8|W, i8| 4 49 44 10 51 56 3 24 4 10 Strait between New. Holland and New. Guinea. Coall of N. Guinea. A Between N. Gui- nea and Tinoor. Eaft coaft of TI-- tnor. (fland of Savrc. } South coaft of Java. Time [ 430 ] Time Lat. in Lon. in 1771 February 0 / • / P. M. South 23 20 - Weft 297 18 20 P. M. 24 57 304 31 23 P. M. 26 59 311 28 25 « 'P. M. 27 55 314 0 A. M. 28 40 316 0 26 P. M. 28 54 316 30 March 4 P. M. 31 s' 326 30 8 A. M. 34 20 333 c 10 P. M. 35 40 337 10 12 P. M. 34 54 339 0 n n • April P. M. 1 able 1 27 12 ► ay, Cap 349 30 2-3 1 L A. M. 26 34 250 32 24- fP. M, 26 12 350 46 L A. M. 25 26 351 28 P. M. 19 50 357 0 29 Ditto 18 30 359 6 5 May A. M. 15 25 7 0 .7 Ditto 12 30 9 45 9 P. M. 10 24 12 0 *3 A. M. 3 18 17 46 19 Ditto North 4 20 21 51 23 Ditto 7 40 26 0 26 Ditto 10 38 29 22 31 Ditto 18 25 35 30 1 Tune A. M. 20 0 36 30 2 Ditto 21 4 38 0 4 Ditto 23 30 40 0 6 Ditto 25 40 43 Variation How found pr.Several Azlm. Ditto pr. Amplitude pr. Azimuth pr. Amplitude Azimuths Ditto Amp. z8 30 "I Azim. 28 8 J )r. Amplitude ' Ditto Amplitude Azimuth Amplitude Amp. and Azim. Azimuth Ditto Ditto Ditto Ditto and Amp Azimuth Amplitude Azimuth Ditto Ditto Ditto Ditto Ampl. 5 5 Azim. 6 4 Means lO 20 W. 12 IS n 30 24 20 24 o 26 10 25 35 28 19 24 o 22 30 20 30 17 18 17 17 H 13 40 37 30 o 53 13 ICJ 12 50 1 1 00 10 00 7 40 9 40 6 30 5 9 6 40 5 4 4 30 5 34i Remarks Java head to the > Cape of Good Hope. By feveral obferva- tions. From the Cape of Good Hope to England, 7 Time [ 431 ] Variation Lat. in Remarks How found Means 1771 June 0 / 0 / 0 / North Weft 7 A. M. 27 22 43 43 20 Azimuths 5 20 w. 8 Ditto 28 30 43 42 Ditto 5 24 • ^ 9 Ditto 29 51 44 9 Amp. 7 3I Azim. 7 30 J 7 17 ■ 10 P: M. 30 26 44 IS Ampi. 9 18 4 Azim. 9 — J 9 9 12 P. M. 32 16 45 14 Amplitude 7 0 A. M. 32 40 45 0 Azimuths 6 55 1 'P. M. 33 44 53 Azim. and Amp. 8 23 ... n\ A. M. 33 S3 44 25 Ampl. 8 15 1 Azim. 8 14 i 8 14I 14 P. M. 34 36 Ditto Amplitude 8 14, 17 Ditto 38 26 40 20 Azimuth 9 I isJ P. M. 39 12 39 0 Azim. 14 13 1 Ampl. 14 18 J 14 i5i La. m. 39 22 38 0 Amplitude 14 24 30- \P. M. 43 55 17 16 Azimuth 18 30 1 A. M. 44 30 16 18 Ditto 19 30 July fP. M. 44 40 15 44 Azimuths 23 0 I ^ lA. M. 44 50 16 10 Ditto 22 50 3 P. M. 45 - 13 0 Ditto 20 36 15 Azimuths 1 4< P. M. 45 30 10 45 2 Amplitudes J 21 25I A. M. 45 20 9 37 20 Amplitudes 1 12 Azimuths J 21 10 7 P. M. 45 45 8 38 Amplitude 22 39 J Extrafi. [ 432 3 Extfaffc from Capt, Cookes Journal. Nov. 9 At 8 A. M. Mr. Green and I went on fkore, to obfcrve the 1771 Tranfit of Mercury, which came on at 7'^ 20' 58" apparent time, and was obfcrved by Mr. Green alone ; 1 at this time was taking the Sun’s altitude in ordor to afcertain the time. f -if // Mr^ Green J Infiernal contact 12 8 58*1 External contaft — • 9 55 C. Cook 1 Internal contaft 8 45 [ External contact — 9 48 J Lat. obferved at noon 36* 48' 28", the mean of this and yefterday obfervations gives 36° 48' 5§" South, the latitude of the place of obferviation. The variation of the compafs was found to be ii® o' Eaft. Thefe obfervations were made by the help of a Graham’s watch with a fecond hand i corre^d by obferved altitudes of the Sun. XLV. Tran/ilus [ 433 ] XLV.' Tranfitus Veneris M Merciirii in eoru7n Exitu e I^ifco Solis, A^to Me7tjis Jiinii ^ io?no Novembris, 1769, ob- fervatus. Commmikated by Capt, James Cook. i<^ Read Nov. 2i,l~NSTRUMENTA quse obfervandis hifce phaenomenis utrilque deftinave- ram, erant fequentia : horologium nempe Aftroiio- micum a Domino Shelton fabrefadum, fed pendulo & anchora Domini Graham inftrudlum : quadrans porro aftronomicLis, cujus radius eft 2| pedum, a Domino Dolhid confedus : telefcopium denique Gregorianum trium pedum, micrometro objedivo five heliometro inftrudum, atque ab eodem confedum, quod maxime excellit. Quod ad pendulum fupradidum, quo fere per feptennium ufus fum, motus ejus ofcillatorius, qui motum fobs medium exade fequitur & indicat, quemque per plures altitudines aequales foils & fixarum, ante & poft habitam obfervationem denuo examinavi, in metiendis minutis fecundis vere eft, et in eo ita uniformiter procedit, ut ab uno folftitio ad alterum vix tribus fecundis ab illo .recedat. VoL. LXI. K k k Quadrantera L 434 ] Quadrantem porrd probe examlnatum, qui in ejufmodi quoque obfervationibus magni momenti eH",, & ab aftronomis vulgd applicari folet, huic ipfe obfer- vationi eum in finem deftinaveram, ut in horologio' differentiam temporis elapfi inter mutuos limborum Iblis & planetarum contadlns ad fila ferica^ in com- muni vitrorum foco tenfa, habere atqueeo ipfo difFcr- entiainaltitudinis Sc azimuthi inter foils Sc planetarum centra determinare poffem ; obfervato enini tem- pore elapfo inter contadlum limbi foils Sc planetae ad unum idemque filum, concluditur inde differentia altitudinis eorum, h nempe fuerit filum horizontale differentia verd azimuthi inter utrumque eodem modo concludetur, fi filum fuerit verticale. Denique ex obfervata ejufmodi differentia altitudinis Sc azimuthi inter centra foils Sc planetce, ipfam quoque differen- tiam longitudinis Sc latitudinis inter utrumque, tem- pore obfervationis habitae, deducere licet. Sic equidem methodo praedi6fa fitum Sc motum^ Veneris ac Mercurii, non tarn in difco Solis, quam in ipfa eorum orbita, ope quadrantis determinare ftudui. Illud ipfum verd prasprimis ope micrometri objedlivi efficiendum putavi, ut nimirum diftantias planetae a proximo limbo Solis in ejus difco fucceffive metiri poffem j a quo elemento caetera pendent : quam qui- dem methodum prae ccateris exadam praeferendam duco. Interim eventus fpem fruftravit; vota Sc conamina in utroque cafu irrita fuere, neque unicam ejufmodi five Veneris five Mercurii obfervationem in eorum^ tranfitu obtinere potui j ccelum namque minus fere-- num jam ab exoriente Sole ad horam ufque 0(5lavam (in tranfitu Veneris) mutabikm valdc faciem pnt- bebat,. [ +35 ^ bebat, et allquando nubibus prorfus obdu<^lum erat-s fed faciem brevi port; mutavit, Solifque imaginem, quae antea vix per aliquot minuta diftinfte videri po- terat, nunc ad finem ulque phaenomeni pleno quad jubare confpiciendam dedit. Coelo ita favente, exitum Veneris e difco Solis, telefcopio fupra didlo, clar^, diftinde, nec minus accurate, hunc in modum obfervari : 1769 4junii ante me-' ridiem Conta£i;us interior five initium exitus videbatur Conta£i:us exterior five exitus totalis vifus h f >f 8 30 13 8 48 31 Eadem coeli facie ferena, eodemque fucceflii exitum quoque Mercurii obfervare licuit : nempe 10 No '] interior five initium exitus ^ videbatur Contadlus exterior five exitus totalis vifus 7 33 32 7 35 I t vembris ante me- ridiem J Tempora in utroque tranfitu hie hdtata, ubique tempus verum indicant. Cseterum plura de his videantur in uiBis Sociefatis Scientiarum Batavee^ quse Uarlemi floret [rz], Situm geographicum obfervatorii non ita pridem exftrudi, five ejus latitiidinem Sc longituainem^ exade (ni fallor) determinavi. Prior five Elevatio Poll Ant ar Bid in illo, per plures altitudines Solis meridianas & quidem folftiti- ales, nec non fixarum aliquot, determinata quam proxime accedit ad 6° 10'. Poflerior autem, five dlffereijfla merldlanorum hoc inter & Regium obfervatorium Parifienfe, per aliquot immerfiones & emerfiones primi fatellitis Jovis, per eclipfes binas lunares, atque per occultationem fixae ^ Vol. XII. A. 1770. p. 123. Kkk 2 ’ Luna, [ 436 ] Luna, determinata, inventa fuit 104° 30', five iii tempore 6^ 58'. Obfervationes eum in finem habitas, nonduni quidem in Europam tranfmifi, brevi autem Sc infra paucos dies ad Societatem Batavam, volente Deo, tranfmittentur. Bataviae, in Obfervatorio 1 25 Decembris reccns exftruito. J 1770. Johan Maurits Mohrj V.D.M. Senior, & Socictatis Scicntiarum Bauvo-Harlemenfis Membrum. Received [ 437 ] Received December 5, 1771. XL VI. Kepler’s Method of computing the Moon s Parallaxes in Solar Eclipfes^ de- monfir ated and extended, to all Degrees of the Moon s Latitude^ as alfo to the afign- ing the Moon s correfpondent apparent Diameter^ together with a co7^cife Appli- cation of this For77i of Calculation to thofe Eclipfes ; hy the late H. Pemberton, M*D^ F. R. S. Co7n7nunicated by Matthew Raper, Efq\ F. R. S, Read Dec. 5, H E calculation of folar edipfes' 1771. having been generally reputed a very operofe procels, from the repeated computations, required of the moon’s parallaxes by their continually varying during the progrefs of the eclipfe, I was once induced to confider Kepler’s compendium for performing this, delivered in his Rudolphine tables, of which he had given a demonftration in his treatife entitled jf^jiro77omice pars optica. But this demon- ftration is perplext, and the method itfelf wants cor- rection, to render it pcrfeCt. Both thele defedts I endeavoured to fupply by the following propofitions,, ■ by C 438 ] by v.'bichmaybe determined with fufficlcnt exadlnefs the moon’s apparent latitude, not only in ecliples, but in all diftances of the moon from the ecliptic. But to thefe proportions I fliall here premife the method I have generally uled for computing the nonagefime degree, and its diifance from the zenith ; this form of calculation not being encumbered with any diverfity from the difference of cafes. L E M M A. To find the nonagefime, or 90th degree of the ecliptic from the horizon, and its diifance from the zenith, the latitude of the place, and the point of the equinodial on the meridian being given. In Tab. XV. Fig. i. 2. 3. 4. let A B be the equi- nodial, A C the ecliptic, D the zenith, D E the meri- dian, and D F perpendicular to the ecliptic, whereby F is the nonagefime degree, and DF the diifance of that point from the zenith. Then from D E, the latitude of the place, and AE the difcance of the meridian from Aries, the arch of the ecliptic AF, and the perpendicular D F may be thus found. Let I be the pole of the equinodial, and H the pole of the ecliptic. Then A E augmented by 90® is the meafure of the angle D I H, or of its comple- ment to four right angles : And the Iquare of the ra- dius is to the redangle under the lines D I, I H, as the fquare of the fine of half the angle D I H, or of half its complement to four right angles, to the redangle under the radius, and half the excels of the cofine of the difference between D I and 1 H, above the cofine of D H, or the fine of D F. 4 In Fbaof-Triu^.Tol.XK!.TA£.Xr.^i..l3e. [ 439 ] In the next place, the arch A D being drawn, in the rectangular triangle AED, the radius is to the cofine ofDE, as the cofine of A E to the cofine of AD j and in the rectangular triangle AF D, the cofine of D F is to the radius, as the cofine of AD to the cofine of AF ; therefore, by equality, the cofine of D F is to the cofine of D E as the cofine of A E to the cofine of AF [<3], the arch AF counted according to the order of the figns being to be taken fimilar in fpecies to A E : For when AE is lefs than a qua- drant (as in fig. I ), AF will be lefs than a quadrant;, and when AE fhall be greater than i, 2, or 3 qua- drants, AF counted according to the order of the fig-ns, fhall exceed the fame number of quadrants. For, fince DE and DF are each lefs than quadrants, when A E in the triangle DEA is alfo lefs than a quadrant, the hypothenufe A D is lefs than a quadrant, when in the triangle DF A the legs DF and F A. are fimilar, that is, F A will be lefs than a quadrant ; (as in fig, 1.) but if AE is greater than a quadrant; (as in fig. 2.) that is, diflimilar to DE, the hypothe- nufe DA will be greater than a quadrant, and the arches DF, FA likewife diffimilar, and AF greater than a quadrant ; alfo in fig. 3 and 4, the arches AE, AF counted from A^ in confequence, will be the complements to a circle of the arches AE, AF in the triangles A DE, ADF. For an exampje, let the cafe be taken in Dr. Halley’s aftronomical tables, where an occultation of the moon i with a fixed fiar is propofed to be computed, the lati- \ a~\ The fame may be concluded from the f. HD being to . f.TDas f. HID. to f. IHD, [ 44° ] tude of the place being 65“. 50'. 50'^ and the point of the equinotflial culminating 25°. 36'. 24'', from the firft point of Aries. This cafe relates to fig. i. and the computation will ftand thus, For the diftance of the nonagefime degree from the zenith. Diftance of E in confequnce from A, the equinoctial point J 25'3^’^4 Add 90- o- ° Gives the angle HID 1 i i;. 36.24 Half HID 57.48.12 HI, the obliquity of the ecliptic! ufed by Dr. Halley J ID, the complement of the latitude 24. Q.to Natural number correfponding o.i 1676 Its double, to be deduCled from 0.23352 the nat. cofmeof ID:/3 1 H(o°40'.io".) 0.99993 leaves the nat. cofine of HD (39. 58. o.) 076641 Therefore DF is 50. 2. o. For the arch AF Coftne of DF, or fine of HD (co. arith.) Cofine of the latitude, or fine of ID Cofine of A E Cofine of thelong.of the90thdeg.(54°.56'.24".) L. Sines 9.92749 992749 9.60041 0.6; 190 9.06729 Sum, thrice rad. deducted 0.19223 9.61 i9r 9‘95SI0 9.75924 The arch HD might have been computed by the verfed line of the angle HID. But I chufe the me- thod above ; very few logarithmic tables having the logarithmic verfed fines. Sir J. Moore, and Sherwin have given indeed fuch tables, but they are imperfcdl, extending only to a quadrant. o Moreover, [ 441 i Moreover, if* a table of natural fines Is not at hand, the arch AD may be found logarithmically thus [^?]. Take half the film of the four firQ lo- 'j garithms in the preceding computation ol ^ 19.53364. H D, viz. ] Dedudt the fine of half DI co IH 7.76675 the remainder This remainder fought in the table' of logarithmic tangents gives the cor- refpondent fine This fine deducted from the firdi number leaves the fine of half HD, that i is, 19°. 59'. o". J PROPOSITION I. 1 1.76689 9.99994 In fig. 5, 6. Let BCA be the ecliptic, E the moon appearing in the ecliptic in C, from the place of the earth whofe zenith isZj B the nonagefime degree,’ the arch ZB being perpendicular to the ecliptic, ZE C the circle of altitude ; E D the moon’s latitude, the arch DE being perpendicular to the ecliptic CB-j and DC the parallax in longitude : then D E is to the horizontal parallax, as the fine of Z B, the diftance qf the nonagefime degree from the zenith, or the altitude of the pole of the ecliptic, to the radius ; alfo DC is to the moon’s horizontal parallax as f B C X cof. Z B to the fquare of the radius. The arch C E is to the moon’s horizontal parallax as f. Z C to radius, and D E is to C E as f. Z B to f. Z C j whence by equality D E is to the horizontal parallax as f. Z B to the radius. See Philofophical Tranfadtions, VoU LI. Pi II. p. 927? 928; VoL. LXI. L 1 1 [ 442 ]■ Again-, f. ZB is to radius as the tangent of ZB to the fecant of ZB- i therefore DE is to the horizontal parallax, as t. of ZB to fee. ZB: but DC is to DE as f. BC to t. ZBj whence by equality DC is to the horizontal parallax as f. BC to the fee. ZB, or as h BC X cof. ZB to the fquare of the radius. COROLLARY. If the point S be taken 90 degrees from the ap- parent place of the moon, and the ar-ch SZ, be drawn, in the fpherieal triangle SBZ, the ef. ZB x cf. BCS, that is,, ef. ZBxf BC is equal to rad. xcf. ZS : therefore DC is to the horizontal' parallax as cf. ZS, or the fine, of the diftance of S from the horizon to the radius. And if the point S is. taken in conle- quence of the moon,, it will be above the horizon,, when the nonagefime degree is alfo in confequence. of the moon other wife below. PROPOSITION II. Let G be the apparent place of the moon out of the ecliptic in the circle of latitude CK, K being the pole of the ecliptic, and H her true place. Then RF, the difiance of the moon from the circle of her apparent latitude, when fiie is feen in the ecliptic, is equal to HL, her difiance from the circle of her ap- parent latitude, when her apparent place is G. If a great circle EHT be drawn through E and H, till it meet the circle of the apparent latitude in T, the four great circles CZ, GZ, CT, ET, interfeefiing each other, the ratio of f. ZC tof. CE is compounded . . 2 of C 4+3 ] of the ratio of f. ZG to f. GH and of the ratio of f. SHT to f. ET [a]. But CE and GH being the parallaxes in altitude at the refpedtive diftances from the zenith ZC, ZG, f. ZC is to f. CE as f. ZG to f. GH : therefore the fine of HT will be equal to the fine of ET, and the arches HT, ET together make a femicircle ; whence ET is equal to HL, COROLLARY. The arch KH being drawn, the parallax in lon- gitude, when the moon is in H, will be to HL as rad. to f. KH, or the cofine of the latitude ; and EF, or its equal HL, to CD as f. KE to the radius. Therefore the moon’s parallax in longitude, when in H, is to the parallax in longitude, when fhe appears in the ecliptic, as the fine of KE to the fine of KH, that is, as the cofine of the latitude, when the moon appears in the ecliptic, to the cofine of her latitude in H. PROPOSITION III. When the moon appears out of the ecliptic, if her latitude is fmall, the difference of the moon’s latitude, when the moon appears in the ecliptic under the fame apparent longitude, if both latitudes are on the fame fide of the ecliptic, otherwife their fum, will be to the moon’s apparent latitude, nearly as the fine of the moon’s diftance from the zenith, when appearing in [a] Ptolem. Almag. L. i. c. 12. Menel. Spheric. L. iii. pr. z. L 1 1 2 the {[ 444* J Hie ecliptic under the fame apparent longitude, to the fine of the correfponding apparent dlftancca Fig. 6. When the moon appears out of the eclip- tic in G, the four great circles CZ, GZ, CT, FT, in- terfecfling each other as before, the ratio of f. CZ to f.. ZE will be compounded of the ratio of f. CG to fi EHj or of CG to EH in thefe fmali arches, and of the ratio of f. HT to f. GT, which lafi ratio, when the latitude is fmali, and HT near a quadrant, is nearly the ratio of equality. Now in the triangle EKH the arch EH exceeds the difference of KE and KH, that is, the difference of the latitudes, when both the latitudes are on the fame fide of the ecliptic, and their fum, v/hen the latitudes are on. the oppofite fide?.. But here the excels will be inconfideraWe. There- fore if an arch X, be taken, wlpfe fine lhall be to the fine of the difference, or fum of the latitudeSj^ as f. ZC to f. ZE, X flaall be nearly equal to CG, the ap- . pjirent latitude in Gi COROLLARIES, 1. If the arches DE, BZ be continued to K, the- pole of rile ecliptic, the four great circles CB, CZ> DK, BK, will interfecf each other, and f. .BD will be to the fine of BC" in the ratio compounded of the ratio of f. ZE to f. ZC, and of f. DIG to f. EX, the kaft of which ratios, the arch DE being fmali, and DK a quadrant, is nearly, the ratio of equality : therefore f. BD is to f. BC nearly as f. ZE to f. ZC i, fo that f. BD will be to f. BC nearly as the difference- of the moon’s true latitude, when fih'e appears in G, from her Latitude DE, wherewith (lie would appear 4' in [ 445 1 in the ecliptic, if the points H and E are both on the fame fide of the ecliptic, or as the fum of thofe lati- tudes, when H and E are on different fides of the ecliptic, to the moon’s vifible latitude. 1. The moon’s apparent diameter, is to her hori- zontal diameter, as the fine of her apparent diftance from the zenith to the fine of her true diftance. Therefore, when the moon is in C, her apparent- diameter is to her horizontal diameter as f. ZC to f ZE, and f. ZC being to f. ZE nearly as f. BC tOv f BD •, the moon’s apparent diameter in C will be tO- her horizontal diameter nearly as f. BC to f. BD. Again, the ratio of f. CGtof. EH is compounded' of', the ratio of f. ZG to f ZH, and of the ratio of 1. CT to f. ET ;• and is alfo compounded of the ratio of f. ZG to f. ZEs and (f the ratio of f GT to f. TH ; but the fine of ET is equal to the fine of TH; the arches ET'and TH compofing a femi-circle ; alio . the fine of CT there differs little from the fine of GT j-t therefore f ZG is to f. ZH, tliat is, the moon’s appa- rent diameter, when in G, to her horizontal diameter,^ nearly as f. ZC'tof. ZE, or nearly as f. BC to * CBD. 3. In all latitudes of the moon, EH will not greatly ,.- exceed the difference, or fum of the moon’s latitude,- jnH,, and the latitude wherewith fhe would appear in the ecliptic. Therefore the ratio of f. ZC to f. ZE . being compounded of the ratio of f CG to EH,, a.nd of the ratio of f. IIT to f. GT, if X be taken, . that its fine be to the fine of tffe difference or fum. of. the latitudes, as f. ZC to ZE, f X will be nearly to . f. CG-as f. HT to f. GT. Elence the difference of: f. X, and f. GtC will be to f. CG, nearly as the differ- [ 446 ] ence of f. HT and f. GT to f. GT, HT not lenfibly differing from TL. Now FT and TL together make a femi- circle, and the fum of FG and GL is twice the difference of TL from a quadrant, and the difference between FG and GL equal to twice the difference of TG from a quadrant, alfo the difference between the fines of TL and TG is equal to the difference of the verfed fines of the differences of thofe arches from quadrants ; and moreover the redt- angle under the fines of two arches is equal to the reftangle under half the radius, and the difference of the verfed fines of the fum and difference of thofe arches : therefore the difference of the fines of X and of CG will be to the fine of CG as the redfangle under the fine of half FG and the fine of half GL to the redf angle under half the radius and the fine of GT, and in thefe fmall arches the difference of X and CG will be to CG nearly as the redlangle under the fines of FG and GL to the redlangle under twice the radius and the fine of GT, or even twice the fquare of the radius, this difference being to be added to X, when the moon’s apparent latitude, and that by which fhe would appear in the ecliptic, are on the fame fide of the ecliptic, otherwife dedudled from X for the final corredlion of the apparent latitude. And in the laft place this corre(ftion will be always fo fmall in quantity, that in computing it CF may be fafely fubftituted for GL. 4. Moreover, the excefs of the moon’s apparent diameter, when feen in G, above her apparent diame- ter in C, bears a lefs proportion to her horizontal diameter than the rcdlangle under the fine of her horizontal C 447 ] horizontal parallax, and twice the fine of half the ap- parent latitude CG to the fquare of the radius. The fine of CE is to the fine of ZC as the fine of the horizontal parallax to the radius ; and CE, the dif- ference of ZC and ZE, being very fmall, the differ- ence of the fines of thofe arches may be efteemed to bear to the fine of CE, the ratio of the cofine of ZC to the radius ; and thus the difference of the fines of ZC and ZE, will be to the fine of ZC as the rectangle under the fine of the horizontal parallax and the cofine of ZC to the fquare of the radius. And in like manner the difference of the fines of ZG and ZH, will be to the fine of ZG, as the redtangle under the fine of the horizontal parallax and the cofine of ZG to the fquare of the radius. But f. ZE is to f. ZC as the moon’s horizontaf diameter to her ap- parent diameter in C, and f. ZH to f. ZG as the moon’s horizontal diameter to her apparent diameter in G. Therefore the difference of the apparent diameter in G from the apparent diameter in C, is to- the horizontal diameter, as the redfangle under the fine of the horizontal parallax, and the difference of the cofines of ZC and ZG, to the fquare of the, radius. But in the triangle CZG, the difference of ZC and ZG is lefs than the third fide CG : therefore the chord of the difference of thofe arches, and much more the difference of their cofines, will be lefs than, the chord of CG, or twice the fine of half CG, Hence the ratio of the augmentation of the apparent diameter in G to the apparent diameter in C, will bc‘ lefs than the redfangle under the fine of the horizon^- tal parallax and twice the fine of half CG, the appa-c- r.cQt latitude, to the fquare of the radius,. Morar [ 44S ] More accurately, the chord of the difference of ZG and ZG being to the difference of their cofines, as the radius to the cofine of half their fum, the difference of the moon’s apparent diameters in C and G may be confidered as nearly bearing to the horizontal diameter, the ratio of the parallelopipedon, whofe altitude is the fine of the horizontal parallax', and bafe the redlangle under the chord of CG and the cofine of ZC, to the cube of the radius ; the cofine of ZC being to the cofine of ZB, the dilfance of the nonagefime degree from the zenith, as the cofine of BC, the apparent diflance of the moon from the nonagefime degree to the ra- dius. But this difference can never be any fenfible quantity, 5. When the moon is in the longitude of the nonagefime degree, the parallax in longitude ccafcs, and the apparent latitude is the difi'erence of the moon’s apparent diffance from the zenith, and the diflance of the nonagefime degree from the fame. But now fince DC is to the horizontal parallax ns the redlangle under the fine of BC, and the cofine of ZB to the fqiiare of the radius ; if an arch be taken to the horizontal parallax as f. BD x of. ZB to the fquare of the radius, this arch will differ but little from the parallax in longitude, and is ufed by Kepler as fuch ; however, it ought to be correefed by adding it to BD, and taking an arch to this in the proportion of tlie fine of BD thus augmented to the fine fimply of BD ; and this laft arch will be equal to the parallax in longitude without fenfible error. Again, DE taken to the horizontal parallax as the fine of ZB to the radius, is conlidercd by Kepler as the [ 449 3 the moon’s parallax of latitude in eclipfes ; but this be- ing deduced or added as the cafe requires gives EH, which being augmented in the proportion of the fine of BD-|-DC to the fine of BD, gives truly the apparent latitude without fenfible error, when the latitude is fmall : But, when greater, requires to be corredled by adding together the logarithmic fine of the latitude now found, the fine of EH and the logarithm of DE, tht fum of which is the double of the corred:ion re- quired. In the laft place the moon’s horizontal . diameter augmented in the proportion of the fine of BC to the fine of BD exhibits the moon’s apaprent diameter. And here the calculation will proceed thus : In the example above chofen for computing the nonagefime degree. The moon’s longitude is given from T 6l*. 2/38" The longitude of the nonagefime degree was found above to be Therefore BD = 7. 6. 14^ ~ -its fincj BZ, as found above, 50°. 2'. 0''. its cofine The horizontal parallax in feconds 9.09226 9.80777 3-52387 » ■ O / // 4.25 This added to BD gives 7. 10. 39 Its fine 2.42390 9.09673 Diff. from the firft fine This added to the log. of 4'. 25", gives the* log. of 4'. 28", for the moon’s parallax in lon- gitude, fuch.as is derived from the parallax in altitude by the parallactic angle, , J 447 2.42837 VoL. LXI. M m m Again, C 450 ] Again, The fine of ZB. 50*. at'. 0". Horizontal parallax 55' .4)", = 3341 feconds Their fum, rejedingthc radius, gives DEr=42'.4o" The moon’s latitude 4*. 50'. 18" Their fum, (EH) the lat. being fouth, 5®. 32'.58" Its fine From the preceding calculation For the apparent latitude, were the T o moon’s. lat. fmall J ^ ‘ But the moon’s latitude being here great, the numbers markt A, B,C, being added together, give twice the correction. Its half o9 .o'.iz" This deducted from N®C, thci moon’s latitude being fouth, r gives for the apparent lat. ^ Laftly, From the moon’s horizontaN parallax her horizontal dia- V meter is ^ The number from the firft calculation The moon’s apparent diameter 1856^" or3o'.j6i" ► 0*^. o'. 2 4" 5^36'. 1 3|" o‘.3o'.37i" or 18371" 9.88447 3.52387 3.40834 A 8.98546 B 447 8.98993C 1.38373 3*26423 I 447 I 3.26870 NOW In folar eclipfes the moft regular method of treating them would be to confidcr the vifible way of the moon from, the fun, as a line of continued curva- ture, which it really is ; and as it differs not greatly from a ftreight line, an arch of a circle may fafely be ufed for it. But’ to form a computation in the fpherc upon this principle would require a procefs fomewhat intricate j but all the particulars ufually inquired into in folar eclipfes may readily be affigned graphically with fcale and.compals after'this manner. •- Firft, find the time nearly of the conjunction of the luminaries, without being felicitous to, triveftig.ate the time C 4SI ] time with exaftnefs. To this point of time affign in fome crude manner the moon’s parallax in longitude, by which a time may eafily be*afrumed, not very diftant from the vifible conjun(5lion. This may very .commodioufly be performed inftrumentally by the propofition, with which I ihall conclude this paper. ' To this point of time compute the place of the fun and moon, alfo for an hour before and after, or rather for fuch an interval'of time as may include the whole ^ipfer-and not too much exceed, of which an efti- mate.^may eafily be made by the forementioned pro- pofition here fubjoined. But all thefe places of the luminaries may- be deduced from the calculation for finding the true conjundtion, by means of the horary motions^' In’ the next place, to each of thefc points of time compute the diftance from the zenith and the place inithe ecliptic of the nonagefime degree. Then from each pofitioii of the nonagefime degree, compute by the method deferibed, the moon’s parallax in lon- gitude, her apparent latitude, and apparent diameter. ” Fig. 7. After this, affuming upon anyftraight line, as AB, the point C for the fun, from thence lay down for the three points of the ecliptic, for vyhich the pre- ceding computations were made, the three diflances CD, CE, CF, which fhall be the meafures in feconds, taken from a fcale of equal parts fufficiently large, of the diftances of the moon from the fun in each, com- pounded with their refpedtive parallaxes in longitude, ib as to reprefent the refpedlive apparent diftances of the moon from the fun in longitude. Upon thefe points eredtthe perpendiculars DG, EH,,FI, for the moon's correfpondent apparent latitudes, and deferibe through thefe three points thearch of a circle, asreprefentingthc vifible way of the moon from the fun during the ecUpfe. M m m 2 Then [ 452 ] Then If from C the line CK be drawn from the centre of this circle, K will be the place of the moon at the greateft obfcuration. The beft method for alligning this point K is to defcribe the arch of a circle to the center C with any interval, whereby it may cut the arch GHl, as in N and O; for the point K bifefts the intercepted arch N KO. Again, if CL, C M be applied from C to the arch I H G, each equal to the fum of the femidiameter of the fun, and apparent femidiameter of the moon, L will be the place of the moon’s center at the beginning, and M the fame at tlie end of the eclipfe. In the laft place, for finding the time, when the moon fhall be in each of the points L, K, M, mea- fure the chords of the arches HG, HL, HM, HI, as not fenlibly differing from the arches themfelves. Then A denoting H L or H M, and B the fum of G H and H I, the time fought for the greater chord may be confidered equal to X the time of the moon’s pafling from G to H, or from H to I. The time for the leffer chord will be^x 3^ 2O ^£>1 J3 X the time above named j and in the laft place, the time of the moon’s paftage between H and K equal to HK_Hk b GHc/jHI ' X 2IJ 2^ B X the time fpecified. This calculation I deduced from Sir Ifaac Newton’s Differential Method j and in the laft cafc' — ^or K X , &c. is to be taken, as K fliall fall within the greater or leffer of the arches G H, H I : but for the moft part the term may be wholly omitted. If [ 453 ] If this method be applied to the occultation of a ftar, the diftances CD, CE, CF muff be the paral- laxes in longitude computed according to the firfi: of the preceding proportions united with the refpedlivc diftances of the moon from the ftar in longitude, con- tracted in the proportion of the cofines of the moon’s latitudes, or at leaft of the flar’s latitude to the ra- dius. Alfo the moon’s apparent latitudes mult, for the moft part, be corrected by the third corollary of the third proportion, and the apparent diameters, if the' correction could amount to any fendble quantity, by the 4th corollary. t THE proportion, I made mention of above for efti- mating the diftance of the true conjunction from the virble, is this. Fig. 8. In any circle, whofe diameter is AB, let the arch AC meafure twice the comple- ment of the declination of any point in the ecliptic CD 5 in like manner meafure twice the complement of the latitude, and AD, BD being drawn, let DE be the verfed fne of the diftance in right afcenhon, of that point of the ecliptic from the meridian taken to a radius equal to the perpendicular let fall from C upon the chord AD j then BE will be the hne of the diftance of the point affumed in the ecliptic from the horizon,’ to a radius equal to the diameter of the circle. Therefore, if the diameter of the circle be the mea- lure, upon any fcale of equal parts, of the moon’s ho- rizontal parallax, and the point taken in the ecliptic be 90° diftant from the moon’s apparent longitude the right afcenfion and declination of this point be- ing 6rft taken from tables of right afcenhon and decli- na.tion» C 45+ ] nation, BE, found as above, will be the meafure of the parallax in longitude, as afligned in the Coroll, to Prop, I. and if the point afTumed in the ecliptic be po° diftant from the moon’s true place, BE will ap- proach near enoughv to that parallax for the purpofe intended, " After the fame ipanner may the parallax in longi- tude be found for any other time aflumed. Alfo if the arch AC be taken equal to twice the comple- ment of the obliquity of the ecliptic, that is, BC equal to twice that obliquity, BE will be nearly equal to the parallax in latitude, provided DE be taken equal to the verfed fine, to the like fcale, as before, of the complement of the right afeenfion, of the point of the ecliptic on the meridian. And thus may be found the fittefi: interval of time for the three calculations of the parallaxes, Sec. I have above propofed in general an hour ; but in great eclipfes it would be beft to af- fume this interval fomething greater, and in fmall eclipfes lefs. Moreover thefe conftrudlions may be performed with very little trouble, any fmall fe^or being fufii- cient for the purpofe. XLV. Of f [ 45S ] XLVII. Of Logarithns^ hy the late William Jones, Efq\ F, R. S. Communicated hy John Robertfon, Lib, R, S, Read Dec. ^ | i H E following paper on the nature ^771* Jl^ conftrudion of Logarithms, was communicated to me many years fince, by that eminent Mathematician the late William Jones, Efq. . The familiar manner in which he explains their na- ture, and the great art with which he obtains the modes of computation, not being exceeded, if equaled, by any writer on this fubjedt, may claim a place in the Philofophical Tranfadions, to be pre- lerved among the multitude of excellent papers, of which that mod invaluable work is a fafe repo^ fitory. Of Logarithms. I. Any number may be exprefled by fome Angle power of the fame radical number. . For every number whatever is placed fomewhere in a fcaleof the feveral powers of fome radical num- ber r, whofe indices are m—iy m—2y m — &c. where not only the numbers r”, 5^0. are exprefled j but alfo .any intermediate number x is reprefen ted by r, with a proper index z, VoL. LXI. - M m m 4 The [ 456 ] The index z is called the Logarithm of the num- ber X. 2. Hence, to find the logarithm z of any num- ber X, is only to find what power of the ‘radijca! number r, in that fcale, is equal' to the number x ; or to find the index z of the power, in the equation X —r^. 3. The properties of logarithms are the fame with, the indices of powers ; that is, thp fpm or difference of the logarithms of two numbers, is the logarithm of the produdl or quotient of thofe numbers. And therefore, ?i times the Jogarithm of any num- ber, is the logarithm of the nih. power of that number.. 4. The relation of any number Xy and its loga- rithm z being given; To find the relation of their leaft fynchronal variation x and z Put 1 radical number of any fcale, and n 9=T+-n Let j y — ~- Then / x—xz fliews the relation required,. For x = r'^=i-{-r^"'» Now, let X and z flow lb that x becomes x~^x, at the fame time as z fhall become Then x x= i i x i =xy. i-\-zq-\-lzf -\-^zq^-\-\zq*y^c. Therefore x=zxz'aq-\-lq^-\--^q' -{-\q*y bcc. 7=zxza=:x zx~* Confequently /'x=zxz. [ 457 ] 5- If as in the common logarithms of Briggs’s form, Then a will be found to be 2,302585092994, &c. And/— .... 0,43429448190325, &c. If I =y, the form will be that of Napier’s lo- garithms. 6. Let B, 6, be the logs of the numbers a:, ia the form /=— , a And N, N, the logs of the fame numbers, in the form (b~—, » Then B?=N/; Ba=Na; BI^=NBj For B:N::(/x-:?X :: B: N:: 5;i:: B:N. If ;c = 10 5 B — 1 j rr: 2,30258, &C. | or / — 0,43429, &c. j a =

q .iq—^q 4? 5^ := +N- |N^+ iN^+4N’-^N^&C.y/. For .i = L, AT = L, 5^ + -i; = 7'x — = /x iv , y, r. q I. L=?=(L,-^=)(i-Pz=/xN + |N^+;-N^-f For L, — ^ — =/ X q — V q' — V II. L,r=:(L/-^=)R— Q=/x N-iN'+^-N'— i N-+,N',fcc. =/X. For L. l±Z=fy. q q V ,IM.L,:=:2/xV4-X = R-P-2/xN -^-;N^_}-.'N^ + -;-N/+^-N^6CC.=:z2/Z. Where N ^ ^ Or, I. r + p L, t±f = R _ p For I p q—V q V 2/Z. , V 2/ q 'V q q — V V 9. Hence, [ 459 ] 9, Hence, in two quantities, r the greater, p the lefs. Putting A=2yNj B=AN% C=BN*> D=:C'N^&c. And S== A + 4.B+ ;C + |P, &c. Then L, 1 = S j Or R — P == S. P Or, putting N = ^ ; A =r /'N, 6cc. Then L, — — 2 S. P Where ^ — i j N — - ~ - ; let A — 2 y~N, 6cc. Then L, r = S. Or, in this cafe, puttingN— Aj B— AN% &c. Then L, r = 2/S. Where p=i, and f~i : let A= 2N, &c. /• + 1 Then L, r S. I N n n 2 10. la [ 4^0 ] ro. In three quantities'/^', q, r, increafing by equal differences, the logarithms of any two of them being given, the'Iogarithm of the third is alfo given. ' I. For L, ii = 2/xV — X = 2Q^^F4-R &e: = 2/Y. Where N = I^. r + p Or L, --if— = 2/Y — 2Ci~P4n?^ pr qq — VV ^ ^ ‘ Becaufe L, — ^-1 — 2 fx — — — qq — VV qq — vv II. Putting N = = (where ‘um) — - — ; qq+pr qq + rp ^ A=/N} B=r:AN^ 6cc. Then L, ”=2S=:2Q-’R^; Or 0_i±Z=S. pr I ^ ^ For fince vv — qq — pr ■=. i ; put qq for r y pr for y. Then r — pz=.qq — pr — vv=. \ 1 r-\-pz=.qq-\-pr» III. Putting N=-=:A, &CC. a—\. And M=^A-f 6cc.; S=|R-f-P; A=:|R-P, Then Qj= 2 + ^ For — P— yv — a; R — Pzrr2jfZ=:2A; ' but I -j- M 1= p > Therefore, 6cc.* 2 2 II. Any C 46X ] II, Any numbers A $'> many ratios b, c, &c. compoled of them, the difference of whofe terms is i ; as alio the logarithms A, B, C, &c. of thofe ratios, being given : To find the logarithms P, Q, R, &c, of thofe numbers, where the form is i. For inflance, if p~2, §'=3, ^=5, Now, the logs A, B, C, of thefe ratios, c, being found, the log. of either 2, 3, 5, or of any number compounded of them, may be found diredlly, by making each fuccef- fively equal to a^yby^c’^. Thus, for the log of io=:2.5. 2 .V 2 « Let ab^c^ = 1 x X -i- 3 y y s5 s5 2 3-5 3 -2 3* ''.2~3^ X X 5* *.3—*'. 23 *1=2.5, Therefore 3^-3* — i x 3^^~->'— *x i. Confequently aj/^^x — 3s — 1=0; 2x — -y — z:^o; 2z~y-iro Therefore at = lo 3 y— 135 z — j i and a^° x X ff = (2 x 5 =) lo* Therefore 10 A -|- 13 B 7C=;log. of 10, to the form r. Or, fince — Tj b z=z — ^ c — 2^ 3.5 3.2^ Therefore A-r2Q—3Pj B— 4P— Q^R; C—2R-Q-3P. Confequently P=:3 A-f-qB-f-^Cr^log. of 2 "I Q= cA-}-6B-|- 3C=:log. of 2 ito the form i. R=7A+9B+5C^log. of 5J Therefore P-j-R— loA-pi^B-j-yC— =log. of (2 X 5—) to. And J^P, y^Q, yR) are the logarithms of 2^ 3, 3, relpec- tively, in the fcale of logarithms whofe form is /. VoL. LXI. N n n 3 XLVIII. An \ [ 46* ] XL VIII. An Inquiry into the V alue of the ancient Greek and Roman Money: By Matthew Raper, Efq\ F. R, S. Introduction. Read Dec. | 1HE firfl writers, who, after the- J|_ revival of learning in Europe, made the Greek and Roman money an objedl of their in- quiries, took great pains to colled: and explain fuch pafTages in antient authors as related to it ; but very, little to difeover its true value. In fo much, that fome of them have fuppofed the Roman Aureus to have been lieavier than the Greek Philippic (i) > and others, that the Denarius was heaver than the Attic Drachm ; but moft of them agreed in this,, that the two laft mentioned coins were exactly equal. All which, opinions are proved to be erroneous by the coins themlclves now« in being. (^i); S«e Gronovius, de pecunia veteie, 1. ii. c. 8* [ 463 J Our learned coiintrynian John Greaves, was, I believe, the firft who difcovered that the Attic Drachm was heavier than the Etenarius (2). He teems to have examined a g;reater number of Greek and Roman coins than any other writer on the fub- jed. His balance turned with, the 80th part of a grain (3); and his weights were corredly adjudcd- to the Englifh ftandard (4), as appears from the comparilon the Royal Society of London caufed to be made, in the year 1742, of the Troy Ounce with that of Paris, which was found to agree precifely with what Greaves had fo long before determined (5). His care and diligence in weitrhins: the coins, and: his fidelity in reporting them, have never beea doubted; but he is not always fufficientJy explicit as, where he fays he had perufed many hundred Denarii Confulares, and found the befl: of them to •amount to 62 grains Englifh (6); it is probable he found many fuch, for there are many of this weight and upw'ards in that noble repofitory the Britifh jMufeum ; but when he fays in the Erne paragraph, that, weighing many Attic Tetradrachms, he found, the befl of them to be 268 graij}?, he may mean only one, for very few come up to that weight. Nor hath- he given a particular defeription of this [2) See the d&dication of hts hrifeourfe of the Roman Fotit and Denarius,, printed in the year 164,7, and reprinted, with other of his works, by Dr. Birch, in 1736.. I quote the original edition, which contains 134 pages numbered after the. dedication. That of Dr. Birch, begins at p. 18 1 (excluding the dedication), and. eiids at p. 356. (3) Ibid. (4) See his Difeourfe, P. 61. (c) Philofophical Tr.an factions, N° 465, (6) p. 61. heavy [ 464 ] heavy Tetradrachm, but Teems to think the weight of that coin was in all ages the fame, which pro- bably it was not. He allows that fiiver is more liable to be overfizcd at the mint than gold (7) ; yet he determines ilie weight of the Attic Drachm from the Tetradrachm to be 67 grains (8), though no gold coin, he ever Taw, comes up to it by a quarter of a grain in the Drachm (9). He hath likewife made his Denarius above half a grain heavier than any he had perufed, to agree with Villalpandus’s weight of the Congius (1); which led him to fuppolc, that the Roman Aureus was juft double the weight of the Denarius (2), con- trary to the expreis teftimony of Pliny. And he hath not given a clear account of the Confular Aureus. In the year 1708, John Cafpar Elfenfchmid, of Straiburg, publiflied his book de ponderibus & men- furis veterum, 6cc. He is an. accurate and a faith- ful writer, but wanted materials. He ufed Paris weights, which feem to have been correcftly ftzed to that ftandard. Having feen no Roman gold older than the reign of Tiberius, which was nor too im- perfedt to difeover its original weight (3), and find- ing the moft perfedl Confular Denarii to be very unequally fized, he took a mean from a pretty large heap of fuch as he thought unexceptionably perfect., rejeding fome, which, though apparently fo, were (7) P. 103. (8) P. 66. (9) P. 72. (1) Compare p. 94 and 120, with p. 61. (2) P. 103. ^3) Eifenl'chmid, p. 34. very [ 465 ] very deficient in weight, and thence determined the weight of the Confular Denarius to be 74.* Paris grain?, equal to 604..^ Troy (4). But, as he hath jrct told us what number of pieces his large heap contained, nor the weight of the heavieft and lighteft of them, his conclufion is not fatisfadlory. Having no perfeft Greek coins, either gold or filver, except one very ancient Attic Tetradrachm weighing 333 Paris grains, he derived the weight of the Attic Drachm from his Denarius, by a pro- portion between the Roman Pound and the Attic Talent, mentioned in the 38th book ofLivy’sHiftory, which happened to agree with the weight of his an- cient Tetradrachm, giving a Drachm of 83I Paris, grains, equal to almoft 68_ i Troy (5). : ' Neither be nor Greaves have taken notice of the Roman Scrupular gold coin, nor made fuch ufe of the Conftantinopolitan Solidus, as might be expedled, from the great number now remaining in the moft perfect prefervation, though the latter hath given the weights of 29 of them. Greaves, very juftly, obferves, that, gold coins “ are not fubjecT to be confumed by time and ruft, “ but only ex inter trimento ; and therefore we may ‘‘ the fafelier give credit to them. And becaufe “ the difference, though but of a grain, is of fome confideration in gold, the mafters of the mint ufe to be more circumfpedl about them : whereas, in “ filver coins, fince it is hardly worth the pains to Rand precifely on the cxcefs or defedt of a grain, “ there are few of thefe fo exadt, but either exceed (4) P* 33* (5) P- 40 and 42. VoL, LXI. O o o ‘‘or [ 466 ] “ or want in the very mint one or two grains, and “ fometimes more (6).” I found, the heaviefl: of twenty new guineas, of the year 1768, frefli from the mint, to outweigh the lighted; grains. The didrachmal gold of Philip and Alexander is about 4 grains heavier than our' guinea j and I never found the difference be- tween any two of them, that appeared to be perfedt and unworn, amount to two grains. The filver,. likewife, of thefe two Princes is more corredtlv fized, than any other ancient filver money I have leen. The Roman Confular Aureus is between 3 and 4. grains lighter than a guinea, and is not fo corredtly fized as the Greek gold ; but much more fo than the Denarius, which is fo unequal, that the Roman mint-mafters feem to have contented themfelves, with , ftriking a certain number of pieces out of the pound of filver, with very little regard to their equality. Therefore, as far as the difcovery of the weight of the Roman pound depends on their coin, it muft be obtained from the gold alone. Eifenfchmid fuppofes, that gold coins may have loft a fenfible part of their original weight, though no appearance of wear can be difcovered on them,, even with a glafs (7), On the contrary, I have found guineas of'George II, and Ann, wdaofe wear, on themoft prominent parts of the head, was vifiblc at the firft' glance of the naked eye, which were above ftandard weighty therefore, where no appear- ance of wear, or other diminution, can be difcovered i (6) Greaves, p. 103. (7) Eifenfchmid, p. 34, 35. on [ 4^7 ] on a coin, I fee no reafon to fuppofe it hath lofl any fenfible part of its original weight. In the following dilcoufe, I have colledled the moll authentic evidence I could find, 'of the weights of the Attic Drachm and the Roman Denarius > part of which I have taken from that very valuable pub- lication of the Pembroke collection of coins. But, valuable as it is, it would have been more fatif- faCtory to the accurate perufer, if the Noble Editor had diftinguiflied the degree of prefervation the fe- veral coins were in, and given the weights of the molt perfect, nearer than to half a grain. In the year 1759, by the favour of the learned and ingenious Dr. Gowin Knight, Principal Libra- rian of the Britifh Mufeum, I weighed a confidera- ble number of the moft perfeCt Greek and Roman coins in that noble Repofitory. The fcales I ufed were good workmanfhip, of the ' common conftruCtion, made by Read j the beam 8 inches, and they turned freely with lefs than the 20th part of a grain. To avoid any error, I weighed each piece in both pans. My weights were moft accurately fized; and, upon comparing the Troy ounce I ufed, with that in the archives of the Royal Society, in an exquifite balance of my late much efleemed friend. Dr. Henry Pemberton, it was found to be ^ of a grain heavier, which I have al- lowed for in the following difcourfe. This effay hath received very confiderable ad- ditions from the ineftimable treafury of ancient coins, in the pofiTeflion of the learned Matthew Duane Efq; who moft obligingly afiiftcd me in taking the weights of fuch as were for my purpofe. And it O 0 o 2 was [ 468 ] was from the coins in this collodion only, that I difcovered the Eginean Talent to have been the money-ftandard of Macedon, before Philip changed it for the Attic. Dr. Hunter, likewlfe, very politely favoured me with the infpedtion of his curious cabinet of ancient coins, fome of which I fliall have occafion to men- tion in the following difcourfej as well as fome brought from Greece, by my learned friend James Stuart, Efq; who, it is hoped, will foon favour the Public with the fecond volume of his Antiquities of Athens. § I . Of the Attic Drachm, *■ THE Greek coins were not only money, but weights. Thus their Drachm was both a piece of money, and a weight ; their Mina was i oo Drachms as a fum, and the fame number as a weight ; and their Talent contained 6o Minas, or 6000 Drachms, both by weight and tale. . This way of reckoning 100 Drachms to the Mina, and 60 Minas to the Talent, was common to all Greece ; and where the Drachm of one city differed from that of another, their refpedive Talents differed in the fame proportion (8). Of all the Greek cities and free ffates, both in Europe and the leffer Afia, that of Athens was the mod famous for the finenefs of their filver, and the (8) Pollux, L. IX. c. 6. § 86. juftnefs [ 4^9 ] jullnefs of Its weight (9) : Xenophon -tells us, that whitherfoever a man carried Attic filver, he would fell it to advantage (i). And their money deferves our more particular attention, both becaufe we h^ve the mod: unexceptionable evidence of its ftandard weight; and what little we know of -the money of other Greek cities, is chiefly by comparifon with this. The current coin of Athens, was the fllver Drachm, which they divided into 6 Oboles, and flruck filver pieces of 1, 2, 3, 4, and 5 Oboles, of half an Obole, and a quarter of an Obole (2). Their larger coins above the Drachm were, the Didrachm, the Tridrachm (3), and theTetradrachm ; which lafl: they called Stater, or the flandard. It does not appear that they coined copper till the 26th year of the Peloponnefi’an war, when Callias was a fecond time Archon (4^. It was foon after publickly cried down; and the conclufion of the pro- clamation was to this effedt, that, filver is the lawful (9) See Ariftophanes, Ranse ver. 733. Polybius, in Excerpt. Leg'. § 28. AoTWffav Js AIVwAoj dfiyvpi'tiv ’ArlixS X. T. A. and § 35. ’Apyup/a Jotw ’Avt/o;^©> ’At7jkou a^ffov, X. T. A. (1) Xenophon arep) mpocrc^uu. c.. 3. Ka» ot xpyvpiou xaXrjv ipiTToptxv E^ayo'.crtv’ oVoo yap- dv ttuXuo-iv auxo, -sravTap^ou ■stAhov tou xp^ai'ov XxjU^ochc\j(riv. (2) The piece of 50 gr. in P. II. T. 48. .of the Pembroke coliedlion, feems to be a Pentobolon and the firft in that plate a Hemiobolion. Mr. Stuart brought both half and quarter Oboles of filver from Athens. (3) Pollux, L. IX. c. 6. § 60, There is a half Tridrachm of ^Alexander in the Britifti ?vluleum. (4) See the Schol. on ver. 737 of Ariftophanis Ranse. money , [ 47° ] money of Athens (5). But they Teem to have had copper money not long after; for Theophraftus, I^emohhenes, and fome of the Comic Poets, quoted by Athenaeus and Pollux, mention theChalcus, which was the name of the copper coin (6). Many pieces of Attic copper are now in being (7); and Vitruvius fays, they coined copper Oboles, and quarter Oboles (8). Authors differ in the value of the Chalcus ; fome fay, it was the fixth part of an Obole (9), others the Sth (i)i Pliny (fpeaking of it as a weight) the loth (2) ; and Vitruvius, in the place before quoted, fays, ibine called the quarter of an Obole Dichalcon, others Trichalcon. According to Polybius, it feems to have been the Sth part, for he makes a quarter of an Obole equal to half a Roman ^^5(3); but the De- narius palling for 16 AJJes^ and the Drachm for 6 Oboles, if a quarter of an Obole was equal to half an the Denarius fliouldbe greater than the Drachm, which it never was. Polybius, therefore, gives this (5) Ariftoph. Ecclef. ver. 8iO and the following. (6) Theophraft. Tsip\ ccttovoix;, and Demoft. henes c. Midiam. Athenxus, L. III. c. 32. and elfewhere. Pol- lux, L.-IX. c. &. § 65. (7) Pembroke Coll. P. II. T. 48. (8) Vicruv. L. III. c. 1. (9) Suidas, V. ’06oX«f. V. TacXccvrov. and one of the fragments in the appendix to Stephens’s Greek Thefaurus, col. 217. (1) Pollux, L. IX. c. 6. § 65, 67. Suidas, v. TertxpTfifjio^iov, The fragments aferibed to Galen and to Cleopatra in Stephens’s Greek Thefaurus, col. 215, 217. That aferibed to Diofcorldes fays, the third part. Thefe fragments fpeak of it as a weight, not a coin. (2) Pliny, Nat. Hift. L. XXI. near the end ofthelall chapter. (3) Polybius, L, II, p. 103. of Cafaubon’s edit. for . [ 471 J for the neareft value of half an As in Greek money, as it was if the Obole paffed for 8 Chalci j but had it paffed for lo, he would have faid one 5th of an Obole, which is nearer to the true value of half an As', or had it paffed for 6, he would have faid one fixtb, v/hich is ftill nearer j in either cafe, he would not have -faid one fourth, as neither 1 o nor 6 admits of that di- vifion. But though, when Polybius wrote, the Obole might pafs for 8 Chalci, it is not impoffible that at different times, or in different places, it may have paffed for 6, 10, and i2. It is a common opinion, that the Athenians coined gold, for which I can find no good authority j and^ from the bed: information I have been able to get, there does not appear to be any Attic gold coin now remaining, that was flruck while they were a free and flourifhing people. The lexicographers, indeed,, tell us, the Xpv4)iS55i [ 480 ] Seven perfedl tetradrachms of Alex- ander, out of a much greater number, in Mr. Duane’s colledlion,give a mean Didrachm of a little more than 132I grains, as in the margin ; which anfwers near enough to the gold coins, to prove, that the Drachm was the common flandard, both for the gold and filver money. Mean I (hall now Hiew, that this was the Attic Drachm. The lilver Stater, or Tetradrachm, is the mod: common Attic coin now remaining, and fome of them are in very perfeft prefervation. They all have the head of Minerva on one fide, and an owl on the other, with the infeription A0E. Difenfchmid obferves, that they appear, by the workmanOiip, and other circumftances, to be of different ages (7). The mod; ancient are very rude work (8), of a fmall diameter and thick. He had one of them in the mod: perfedl prefervation, weighing 273^ Troy grains 5 and there is one like it in the Britidi Mnfeum of 272 -%. grains. The fecond fort is fomewhat better work, though rude, and the owl dands in a fquare; but in other refpefts is like the former. The eighth and ninth .coins P. II. T. 48. of the Pembroke collection, (7) Eifenfchmid. p. 44. (8) See Eifenfehmid’s figure, and c. 7. of P, II. T. 48. of the .Pembroke colle«dion. feem [ +Sr ] 'ifeem to be of this fort. The eighth weighs 266 grains; and by having the weight put to it, and not to either of the other two in the fame plate, I fuppofe it is well preferved, and perhaps perfect. Thefe and the above mentioned have an olive branch coming from the edge to the owl ; and both, by the rudenefs of the work, fhould be older than the time of Pericles, under whofe adminiftration fculpture flourilhed at Athens. The work of a third fort is more elegant, though not highly finifhed. Its diameter is equal to that of an Englifh half crown. The face of Minerva is beautiful; the owl Hands on an oil bottle, and is en- compalTed by two olive branches, and, befides the in- fcription AGE, hath fome monograms and lymbols near the owl. A fourth fort, of the fame lize, is generally higher finifhed ; and befides the infcription AGE, hath inftead of the monograms, a name or names about the owl, perhaps of the mint-mafters, or, as Mr. Stuart con- jectures, of the owners of the mine that produced the filver. Thefe like wife have commonly fome fymbol near the owl. Some of them have a letter on the belly of the oil bottle, and two letters under it, as it were in an exergue. They feem to be of a later date than the laft mentioned ; for none that I have feen have the E for H, or the O for Xi in the names, though they retain the E in AGE; but the long vowels did not come into ufe at Athens till after the Pelo- ponnefian war, as appears by inferiptions now remain- VOL. LXI. Qji q ing. [ 4«2 ] ing (9), therefore, thefe rauft have been ftruck after that timei and if any nowremain, that were ftruck dur- ing that war, they muft be thofe v/ith monograms. The Attic money is not fo equally fized as the Philippic filver. Mr. Duane hath a Tetradrachm with the letter K on the oil bottle, and AI under it, infcribed MENTXIP MOSXIXIN, which weighs 271 1 grains, and another with the fame letters on and under the oil bottle, infcribed KAEOOANHS EniOETHS, in- as perfect prefervation, which weighs but 265 grains. An Attic Tetradrachm in the BritiHi Mufeum, which appears to be but little worn, and not other- wife diminilhed, weighs but 247I grains.. We can hardly fuppofe, that this was ftruck to the fame ftandard as Eifenfchmid’s ancient Tetradrachm of above 273 grains. That in the Pembroke colledUon, of 207 grains, hath probably been filed on the edge. There are, however, a. confiderable number of Atiic Tetradrachms, that anfwer in weight to thofe of' Philip and Alexander, as nearly as can be expected, from coins fo unequally fized. Mr. Stuart brought a very ancient one from Greece, weighing 265! grains; Mr. Duane hath one of the like age, which weighs 2651 ; they are both well preferved, and can have loft very little of their original weight: one, with a monogram and fymbol, of 2665 grains; another,,, infcribed -)-ANI of the fame weight, two of 265 grains, and one of 265I. Thefe anfwer fo^ nearly (9) See Montfaucon’s Palaeographia Grasca, p. 1 35. and the Mar- mor Athenienfe, lately publifhed by Mr. Chambeif. The Scho- liaft on ver. 688 of Euripides’s PhcEnilBe dates the introdu cation , long vowels into Athens, in the Archonfhip of Euclides. to C +83 ] to the weights of Alexander’s Tetradrachms, that we cannot doubt of the equality of his ftandard to that of Athens. And the gold Philippics of him and his father are fo correce; for he tells us, that, in his time, a Drachm was always underftood to mean what the Romans call a Denarius (7). The Drachm of this Mina fhould weigh 84 grains. Laftly, Feftus fays, the Alexandrian Talent con- tained 12000 Denarii (8). If by Denarii he meant Attic Drachms, this Talent fliould be jufl double the -Attic. None of thefe talents could be the ftandard of the Ptolemaic money. Though, if Galen’s Alexandrian Mina weighed 160 ancient Attic Drachms, its Drachm would weigh io6.1 Troy grains, which comes near to the Ptolemaic ftandard. But the coins require a greater weight, and the Eginean Mina diould weigh 1 66.1 Attic drachms. The Euboi'c Talent certainly came from Afia ; for, Herodotus tells us, the Kings of Perfia weighed their gold by that Talent (9). In the fame place he in- forms us, that the Babylonian Talent weighed 70 Euboic Minas. Pollux fays, it weighed 70 Attic Minasi(i). Therefore the Euboic Talent lEould be equal to the Attic. But iElian tells us, it weighed (6) See the word Mva in the index to Stephens’s Greek Thefaurus. (7) Tlpo^nKov oTi xiyouSpj vwj tv Toiovroif oi’KO.friv, oTTip P'upt,x7oi Sluudpiov ovopccl^ov(Tiv. Galen, L. VIII. De compof. medicam. as quoted by Gronovius, L. II. c. 6. De Pecun. Vet. (8) Feftus, De Verborum Signif. v. Talentum. (9) Herod. L. III. § 89. (i) Pollux, L. IX, c, 6, § 86. 72 [ 4*^7 T 72. Attic Minas (2)} and if fo, the-Euboic Talent' Ihoiild be heavier than the Attic, in the proportion of 72 to 70. An article in the treaty between the Romans and Etolians, recorded by Polybins (3), whereby the lat- ter were to pay a certain number ofEuboic Talents, in filver of Attic finenefs, feems to favour this ine- quality of the two Talents : for, had they been equal, , there would have been no occalion to fpecify the quality of the filver by the ftandard of one country, and its weight by that of another. But, if the EuboicTalent was the ftandard u fed in the commerce between Greece and Afia (as it feems to have been)* both countries were concerned to keep it up to its juft weight ; which was a fufficient reafon for the preference given to it by the Romans, on account of its authenticity, wliether the Attic Talent was equal to it or not. And there is a circumftance very ftrongly in favour of their equality, which is, that it Philip changed the inoney-ftandard of his own country, with a view to the invafion of Afia, (as is highly probable), he cer- tainly adopted the ftandard ot the Daric, which was the Euboic Talent, by which the Kings of Perfia weighed their gold. But his money anfwers to the Attic Talent, as I have ftiewn above. Pollux no where mentions the Euboic Talent; and if he took his eftimate of the Babylonian Talent from H erodotus, he certainly thought the Euboic Talent was equal to the Attic. (2) Var. Hift. L. I. c. 22. (3} I'y'yi^* Excerpt. Legat. § 28. But [ 4«S ] But the numbers in the account Herodotus hath given of the revenue of Darius, as they now ftand,, difagree with each other, and muft be faulty in more places than one ; and as probably in his value of the Babylonian Talent as elfewhere. He tells us, the King of Perfia weighed his filver by the Babylonian Talent j therefore, that muft have been reckoned the filver Talent of the empire, and was probably the ftandard of their filver coin, Xenophon, in his account of the expedition of Cyrus, fays, the Afiatic Siglus was worth yl Attic Oboles j(4). This coin feems to have been the Drachm of the Babylonian Talent; and if that Talent weighed 72 Attic Minas, the Siglus was really worth but 74. oboles ; but the place Xenophon here fpeaks of was near Babylon, where the Attic money was unknown and confequently undervalued in common currency, This however (hews, that, if the Babylonian Talent ■was the ftandard for the filver coinage in Perfia, its weight probably exceeded 70 Attic Minas. The lame author tells us, that Cyrus paid Silanus the Ambraciot 3000 Darics for ten Talents. There- fore, the Talent of filver was worth 300 Darics. And if 3000 Darics were coined out of the Euboi'c Talent of gold, 300 weighed fix Euboic Minas: and fup- pofing the Babylonian Talent to weigh 72 fuch Minas, the price of gold, at that time, was twelve times its weight in filver, as Plato, who was Xenophon’s con- temporary, tells us it was (5). By the former of thefe paffages, it appears proba- ble that the Babylonian Talent weighed above 70 (4) Xenoph. Expcd. L. I. (5) Plato, in his Hipparchus. ' Attic 2 C 489 ] Attic Minas; by the latter, that it weigheJ above 70 Euboic Minas ; and if Pollux took his value of the Babylonian Talent from Herodotus, as the text now ftands, andiTlian his value of the fame, from a more correft copy of that author, or from Ibme better authority, the Euboic Talent muft have been equal to the Attic. § III. Of the Roman Money. PLINY hath given the following hiflorical ac- count of the Roman coinage : “ Silver was firlt coined at Rome in the 485th year of the City, when Ogulnius and C. Fabius were Confuls, “ five years before the fird Punic war. And the “ denarius was made to pafs for ten pounds of cop- “ per; the quinarius, for five; and the fefterce, for “ two and a half. But the weight of the As was reduced in the firfi: Punic war, when the republic, being unable to defray its expences, refolved to “ coin fix AJfes out of the pound; whereby they “ gained five parts, and paid their debts. The ‘‘ damp of the As was a double-faced Janus on one “ fide, and the prow of a fhip on the other ; on the triens and quadrans a boat. After this, when they were preffed by Hannibal, Quintus Fabius Maxi- “ mus being diftator {about the year 537], the As “ was reduced to one ounce, and' the filver denarius “ made to pafs for 1 6 Affes ; the quinarius, for eight ; “ and the lefterce, for four. And the republic gained one half {upon the copper moneyX. But in the pay VoL. LXl. K r r “of «c [ 490 ] “ of the army, the foldier always receiVed a filver “ denarius for ten JJfes. The ftamp of the filver money was a chariot and a pair, or a chariot and four horfesj whence they were called and ^adrigatt. The As was foon after reduced to half an ounce, by the Papirian Law. What is now “ called the VidoriatjWas coined by the ClodianLawj before which, it was imported from Illyricum as merchandize: its flamp is a Vidory, whence it takes its name. The gold money was coined fixty two years after the fiver, and the fcruple paffed for twenty fcfterces, which, as the fefterce was ** reckoned at that time [z| Afffes'], made the pound of “ gold worth nine hundred Jilver denarii (i) [of i6 “ AJjeseach\. It was afterward thought proper to coin forty pieces out of the pound of gold. And our Princes have, by degrees, diminifhed their weight to 45 in the pound (2).” Thus far Pliny, whofe date of the firfl coinage of filver is confirmed by Livy (3). The Denarii now remaining are of various kinds. The mofi: ancient are the Bigati and ^adrigati^y\v\x\g^ on one fide the head of a woman in a helmet, with (1) The common reading is feftertios DCCCC, which I fliall confider hereafter. (2) Plin. Nat. Hift. L. XXXIII. c. 3. In moft editions of Pliny before Hardouin, the numbers 40 and 45, are thus writ- ten X. XL. M. and X. XLV. M. whence Agncola and Snellius have fuppofed the M. after the former number, to be a miftake of the tranfcriber for II. and that after the latter for III. But Hardouin in his note on this pafTage hath fliewn the M. in both places, to be fuperfluous. In the laft claufe, I read minutijjhne verOf not minutijffime Nero, (3) See the epitome of L. XV. the C 491 ] the infcription ROMA, and the mark of the Dena- rius X or X, and fome few XVI, and a Biga or Qua- driga on the other. The next to thefe in antiquity- have the head of Roma, or fome other Deity, on one fide, and on the reverfe, the name of the mintmafler, or mintmafiers, with hiftorical or emblematical fi- gures. Many of thefe have the X or X, which con- tinued to be the mark of the Denarius long after it pafied for 1 6 yljjes j whence fome have concluded that it was reduced again to ten AJfes^ contrary to the ex- prefs teftimony of Vitruvius (4) ; and Tacitus tells us that the mutinous legions in Pannonia demanded, to have their pay raifed from ten AJfes^ to a Denarius. A third fort hath the head of a Conful or a General on one fide, with an hiftorical or emblematical reverfe. Few, if any, of thefe have the mark X or ^ upon them. Thefe three forts are called Confular Denarii, as having been ftruck during the republican govern- ment by Confuls. The Imperial Denarii have com- monly the head of the reigning Emperor, with his name and titles on one fide, and fome emblematical figures on the reverfe, with a fuitable infcription. The Romans coined their firft gold money by the Scruple, as appears from Pliny’s account, which is confirmed by the coins j for he tells us the Scruple pafied for twenty Sefterces, and the reare gold coins now remaining with the numerals XX, and XXXX, ' which anfwer to the weight of one, and two ancient Roman Scruples. Thefe have the head of Mars on one fide, with the numeral letters denoting their value, (4) Vitruvius, L. III. c. i. So like wife Volufius Maitianus. Taciti Anna!. L, i. § 17. & 26. R r r 2 and [ 492 ] and, on the reverfe, an Eagle landing on a Thunder- bolt. The latter coins of this fcrupular ftandard are like the Denarii of the age in which they were flruck ; as was the gold of the different ftandards that fucceeded it. The Romans did not ufe the Denarius for a weight, as the Greeks did their Drachm ; till the Greek phy- ficans coming to Rome, and finding the two coins nearly equal, prefcribed by it, as they had been ac- cuftomed to do by the Drachm in their own country. Neither did the Roman Pound depend on the weight of the Denarius, as the Greek Mina did on that of the Drachm ; but the weight of the Denarius depend- ed on the Pound. The antient Roman Pound was divided into iz Ounces, and the Ounce into 24 fcruples (5). And we learn from Celfus and Pliny, that 84 Denarii were coined out of the Pound of filver(6)j therefore, if we knew the true vveight of the Roman Pound, wc Ihould thence know that of the Denarius. There are many antient Roman weights now re- maining, from under an Ounce to too Pounds j Ibme of them with infcriptions have the appearance of Ifandards. Lucas Paetus, from an antient weight of 10 Pounds, another of 4 pounds, and a third of i pound, infcribed EX. AVC.D.CAS. in letters of filver, befides three fmaller of 3, 6, and 9 ounces, all fix pcrfed and (5) Varro de Re Ruftlca, L. I. c. lO. Collumella, L. V. c. i. and Volufius Mcecianus. T Medicina, L. V. c. 17. Pliny, Nat. HiR. L. aXaIII. c. 9. (7) See Thef. Antiq. Roman. Vol. XI. col. 1661. agreeing C 493 ] agreeing together, determined the antlent Pound to contain ii ounces, lo fcruples, modern Roman Weight (8). But where he gives the weight of Vefpaiian s Congius (9), he makes ten antient Roman Pounds to weigh ^ pounds 6 ounces 10 fcr. 10 gr. modern weight. The modern Roman ounce con- tains, like the antient, 24 fcruples, the fcruple 24 grains. ^ Therefore, according to this determination, the antient Roman Pound Ihould weigh 1 1 ounces, 10 fcr. 154 gi*. modern weight, which is equal to 50124. Troy grains, if the exaa weight of the mo- dern Roman ounce be 438 Troy grains, as Greaves reckons it. Bi*t Paetus ufed a Reelyard, which is a very fallacious inftrument. Gruter hath exhibited a confiderable number of ancient Roman weights(i). Such of marble, from I to I o pounds, as were intire, have neither mark nor infcripiion. His two heavieR weigh p pounds 8 ounces each, modern Roman weight, which give an antient Pound of 5081 Troy grains. Such of the reR as are fuppofed to be intire, make it under 5000. His lefler weights vary confiderably. The Triens of RuRicus gives a pound of 5092 Troy grains ; his Sextans one of 5246. Among the brafs weights are twoinfcribed AD. A VG VST. TEMP. C.P. One of five Pounds, weighing 5 pounds 2| ounces, makes the ancient Pound equal to 5475 Troy grains ; the other is a Triens, and weighs 3 ounces, 19 fcr. 4 gr. which gives 4992 Troy grains for the Roman Pound. » (8) Thef. Antiq. Roman. Vol. XI. col, 1619. (9) Ibid. col. 1635. (1} Gruter’s Infcriptions, p. ccxxl. Fabretti [ 494 ] t Fabrettl blcimes PjEtus for n^aklng the ancient Roman Pound lighter than the modern (2), and pro- duces ten ancient weights, to prove the contrary. Three of them are of brafs, and by their infcriptions have the appearance of public ftandards. One, with the mark X, weighs 10 pounds ^ oz. 14 fcr. modern Roman weight, which, reduced to Troy grains, give 5500I for the antient Pound. Another, marked V, weighs 5 pounds, 2| oz. and gives 5475 Trey grains for the antient Pound. A third marked II, weighs 2 pounds, I oz, p fcr. which makes the ancient Pound amount to 5557 Troy grains. His white marble weight hath no other infeription but the mark I,- for one pound, and weighs 13 ounces, i| fcr. equal to 5721 Troy grains. The reft of his weights are from five ounces to three fcruples, and give an ancient Roman Pound from almoft 5500 Troy grains -to above 5780. At the end of Eifenfehmid’s preface, we find two AJjes libraleSj one equal to 5407I Troy grains, the other to 5315I-; and a ^ladrujjis of 21351 Troy grains, which gives a pound of 5337I. According to Fabretti’s weights, the ancient Roman Pound could not weigh lefs than 5475 Troy grains, which is much greater than can be derived from any other evidences, as I ftiall ftiew hereafter. But, as many of the abovementioned weights have the ap- pearance of public ftandards, I have thought proper, to take more particular notice of them, than writers on this fubjed; have commonly done. Both Villalpandus and Greaves relied on the Congius of Vefpafian for the ftandard weight of the (2) Fabretti infeript. p. 523. Roman C 495 ] Roman Pound, not doubting ‘its authenticity, though the note in Gruter lays, fome have fuTpcded it (ri). What foundation they had for fuch fufpicion, does not appeal i but it is very difficult, to counterfeit the genuine cracks and corrolions of antiquity, in a veflel of this kind i and Greaves tells us, that while he was in Italy, there was found, among the ruins at Rome, a ScMnicongius in brafs, of the fame figure with this of \efpafian, the lides much corroded with ruff. This he alfo meafured, and found it to be half of Vefpa- fian’s Congius (4). But weights are eafily counter- feited ; and when the remains of antiquity were fo eagerly fought after, that artiffs found it worth their while to counterfeit the ancient coins, others mi^ht counterfeit the weights. ^ The Roman Congius contained ten Pounds weic^ht of wine (5). Vefpalian’s ffandard is of brafs; Pjetus, Villalpandus, and Greaves, have given drawings of it; and Gruter tells us, the infeription was in letters of filver. PtEtus filled this veflel to the narrow part of the neck whh rain water, and weighed it with a ffeelyard. But this inff rument is liable to great errors ; therefore his weight, which wants 5I modern Roman ounces of what Villalpandus found it, is of fmall authority. Villalpandus filled it to the fame height with fpring watei , and found it to contain juft ten modern Roman pounds, which are equal to 52560 Troy grains. Auzout, filling it likewife to the fame height with fpring water, weighed its contents twice; and the near (3) Gruter’s inferiptions, p. ccxxiii. (4) Greaves, p. ga. in a note. (5) Feflus de verb, fignif. v. publica Pondera. agreement 3 [ 496 ] agreement of its capacity deduced from his weights, with Greaves’s meafure,by Millet (6), is a proof of their being very near the truth. Auzout’s greater weight was 63024 Paris grains, equal to 516994. Troy j his lefler, 62760 Paris grains, equal to 514824. Troy (7). It is not laid, at what time of the year either of thefe weights was taken ; but the heat in fummer, and the cold in winter, might have made a much greater difference between them. The mean between both is 51591 Troy grains, which, divided by 10, give 5159 -Vfuch grains for the weight of tl^dncient Roman Pound. Fabretti infiffs, that this veffel ought to have been filled up to the brim (8) j but the part above the neck feems to have been defigned, either to prevent the liquor from fpilling when poured out, or for a fccurity againft the diminution of the flandard, which Ibch a finifhing rendered imprafticable. Several objedions have been made to this Pound derived from the Congius, of which the following are the moft material. Firft, whereas the fide of the Quadrantal contain- ing 8 Congii, fhould be equal to the Roman Foot; the fide of a cube, containing 8 times this veffel, exceeds the moft authentic meafures of that foot now remaining. But, as this relation of the two ftandards to each other was of an ancient date, when all work- (6) See Philofoph. Tranf. Vol LI. p. 790. (y) Divers ouvrages de Mathematique & de Phyfique par Meir. de 1’ Academic Royale, Paris, 1693, in folio, p. 366. 371. (8) Fabretti infeript. p. 527. mznfhip [ 497 ] man/hIp was probably very rude and inaccurate al Rome, we cannot wonder at fuch a driagreeiiaent 5 efpecinlly as both the thape of this veilci and the infeription fhew it was not adjufted by the foot mea- fure, but by weight. Secondly, the fame bulk of any liquor being found to weigh more in winter than in fummen, we cannot determine the precife weight of the Roman Pound from the contents of this vede), unlefs we knew the feafon of the year in which it was originally adjufled. Thiidly, Villalpandus fee ms to have made -his ex- periment carefully (9) ; but his weight exceeds Auzout s lefler weight by above 1000 Troy grains j though both Lifed fpring water. Now if two curious perfons, who endeavoured to difeover the exad: weight of the antient Roman Pounds could differ fo. much in weighing the contents of the fame veflei, can it feetn improbable, that the Roman officer, to whofe department the adjuffing this Ifandard might happen to belong, ffiould differ as much from its jufl weight ? But if he happened to be a perfon of accu- racy, he would take care, that the ftandard of a meafure of capacity ffiould not fall ffiorttaf its ancient dimenfions, which is extremely unpopular 5 and, though he might endeavour to be exadt, he would radier chufe to err in excels than defe^a. Thei'efore, this veffel is more likely to give too great a Roman Pound, than too fmall a one. Fourthly, this veffieJ was by law to contain ten Pounds weight of wine; which being lighter than water, the weights above-mentioned muft be too (9) Sev Greaves, p. 02. VoL. LXR S s 6 great* C 498 j great.. But probably the Romans of that unphllo- fophical age when this ftandard was firft eftablifhed were ignorant of this difference > and it might not be generally known, or not attended to, even in Vefpafian’s time; for Remnius Fannius, who lived long after, treating of the weights of various liquids, fuppofes the weight of wine to be equal to that of water, Nam librae, ut memorant, beflim fextarius addet, Seu puros pendas latices, feu dona Lyaei, And though he afterward tells us that fome wines and fome waters are heavier than others, he does not fay that water is in general heavier than wine. And even at this day, when the fpecific gravities of different liquors are fo generally known, our books of Phar- macy call a wine pint of any liquor a pound. There- fore it is not improbable that this ftandard was ad- jufted by fpring water in the reign of Vefpafian. But if it was really adjufted by wine, the difference- may be conftderable ; for, according to Eifenfchmid's table of the fpecific gravities of various liquids (i),. that of pump- water is to Burgundy wine in the pro- portion'of 371 to 3.55 ; and Auzout’s mean weight of 5159 Troy grains diminifhed in this proportion, gives but 49361 fuch. grains for the antient Roman* Pound. All the above circumftances confidered,.it fcems more probable that this ftandard fhould give too great a Roman Pound, than too fmall a one. But as no- (1.) Eifenfchmid, p, 174., 175. ' • , ‘ thing ' t m ) ’ thing certain can be determined from it, we rnurt have recourfe to the coins, efpecially the gold, which though not fo corredly fized as the Greek Philippics* are much more fo than the filver Denarii. Pliny tells us, that when the Romans firft coined gold, they made the Scruple pafs for lo Sefterces. In the tables VI, VII. and X. of the Pembroke colledion, we find nine pieces* weighing ly prains 261, 33l>5ii,53> 105, 107 twice?, ' That this was the fcrupular coin mentioned by Pliny appears from the numeral letters XX for 20 Sefterces, on the fmallefl, and XXX on that of 33 1 grains, which fhould be its double; and all the reft are multiples of fomewhat between 17 and 18 grains, except the fecond, which is a Scruple and half. What the mark ^ X on that of 51I grains denotes, I cannot tell. Savot* and Hardouin(2) call this figure vV a V, and fay VX flood for 15; but though the Greeks often placed their numerals from right to left, I cannot find that the Romans ever did. Thefe nine pieces fhould contain 34! Roman fcruples ; Their weight amounts to 608 Troy grains, which, divided by 34-, give 1744 for the Scruple; whence the Roman Pound fhould weigh 507,544. (2) Savot, P. III. c. 7. Hardoain’s note on Pliny. Thi* piece is 3 Roman Scruples, which valued at 60 Sefterces of 2-| AJfes to the Sefterce, was worth i^oAffes, or 9 filver Denarii and 6 AJes^ wanting hut 2 AJfes of 9I Denarii. Now in Ptolomy’s geo- graphical tables, where the degree is divided unciatifn^ after the Roman manner ; this charafter ftands for one half; theretore being placed before the X (as on the coin) it might denote 9^, as I before the X ftands for 9. But Mr. Duane hath a gold coin with the fame mark, and of the fame impreftion as this, which weighs but 45^ grains, though it feems to beperfedl. S s s 3 But C 5-co ] But thefe pieces are toa fmall, and too few in number, to determine this point. Mr. Duane hath that of one Scruple, in fine prefervation, weighing almofl i7§ grains. Mr. de la Nauze hath given the weight of the piece of 3 fcruples with the mark X* in the French king’s cabinet, which he fays is exadly 64 Paris grains, (3), equal to 52 1 Troy, and gives 17I grains for the Scruple. This fcrupular ftanckrd Teems to 4iave continued till Sulla introduced one which Pliny hath not mentioned, on account, perhaps, of its fliort duration. It was probably occafioned by the rife of the value of gold; for when the fcrupular ffandard was hrn: edablifhed, gold was worth but about ten times its weight in filver, as I fliall fhew hereafter; but in Sulla’s time it was much dearer. Cicero plainly alludes to this alteration in the coin, when, fpeaking of his kinfman Marius Gratidianus,., he fays, that time the money avas in fucb a JiuSluating Jiate that no man knew what be had (4.) : and both he and Pliny relate, that the law Gratidianus made in Sulla’s abfcnce, from Rome, for the regulation of tlie coin, was fo popular, that ffatues were ere<5ted to him in every fireet, and incenfe. burnX before them (5). The intent of this law feems to have been, to relfore- the ancient ftaHda-rd'in oppofition to Sulla; for it fo :• provoked him, that, on his return to Rome, hecaufed all the ffatues to be thrown down (6), and Gratidi- - (3) Ai'lemoires de 1’ Academia des Infcriptions, Vol. XXX,. P- 359- (4) Cicero de Officiis, L. Ill, § 2O, f5) Cicero, ibid. Pliny, Nat. Hift, L, XXXIII. c. o., 6) Pliny, L. , XXXIV. c. 6. anus [ ] anus to be cruelly butchered by the hand of Catir- line (7). Three coins in the Pembroke colledtion bear the name of Sulla, and weigh 166, 167, and 168 grains (8). Bouteroue mentions one of 204. Paris, grains (9), equal to 1674 Troy. If thirty of thefe were coined out of the Roman Pound, the heavieft: of the four pieces gives a Pound of 5040 grains.. The ftandard of forty in the pound, mentioned by- Pliny, feeins to have fucceeded to this of Sulla, and continued to the- edablifhment of the monarchy- under Auguflus; for Pliny fays, Pri?icipes imminiiere pondus and the two heavieft pieces lean find of this* ftandard, are, one of Pompey, in whole time it feems* to have been introduced, the other of Antony and 0(ftavius, ffruck after the expiration, of the Triumr- virate, which differ but the tenth part of a grain irit weight. They are both in the Britilh Muleum, ih.- hne prefervation.. The former is like coin 4 Tab. XI. of the Pembroke colledlion ; the latter, like coin i u Tab. XII. Butfuch as bear the name Augulfus, which, be aflumed with the monarchy, are lighter than thofe of the Triumvirate. - Pompey’s coin weighs 1 2 8:| Troy grains, the, other- 328^. Mr. Duane hath both thele coins in fine prefervation, the former weighing 1261 grains, the latter 127. Thofe in the Pembroke Collcdtion weigh, 1 25 grains each, (7) Seneca de Ira, E. HE c. i8'j (^) Tab. Vllf., (9} Recherches curieufes des monuoyes de France. P,a-ris,, j666. in folio, The.re- [ 502 ] There are befides, in the Britifh Mufenm, two of 125 grains, like c. 2, and 4. in Tab. IX. of the Pembroke colledlion j one of 1244 3* all very little worn; and a fourth of 1244 gi’ains, like c. 4. Tab. VII. which feems to be perfedl. Dr. Hunter hath two perfeft gold coins, one like c. 3. Tab. VIII. weighing 125I grains; the other like c. 2. Tab. IX. which weighs 125!. Thefe ten coins give a mean Aureus of 1264^ grains. The Pembroke collection contains forty Aurei, from Pompey to the end of the Commonwealth. One of them weighs 127 grains; two 126I; fix 126; and the reft from 125 1 to 123; except two of 121, which, being probably fomewhat worn, or otherwife diminifhed, may fafely be rejected. The remaining 38 added to the ten above-mentioned, give a mean Aureus of 1 254^ grains. But confidering that thirteen of the forty-eight weigh from i28f to 126 grains, and that many of the reft are probably fomewhat worn, we may fairly take 1 26 grains for the ftandard weight of this coin ; and the number of pieces under 1 25 grains, that are vouched for perfeCl, will not allow it to be greater. Bouteroue mentions two perfeCt Aurei of Julius Caefar, each weighing 152 Paris grains, equal to 1 24-^ Troy. And Greaves in his firft Table hath marked three of Julius for perfeCl, which weigh 122I, 1234-, tnd 124I grains. If the Aureus of forty in the Pound weighed 1 26 Troy grains, the Roman Pound muft Weigh 5040. The weight of this coin was gradually diminifhed by the Emperors, till in Pliny’s time forty-five were ftruck [ ] flruck out of the Pound. He died in the reigh of Titus j and the mean Aureus of Greaves's table from Nero to that Prince, inclufive, is under 1 1 2 grains. That of the Pembroke ColIe6tionfor the fame period amounts to 113; but Nero’s coins (contrary to Hardouin’s reading of Pliny’s text) appear to have been heavier than thofe of Vefpafian or Titus. Snellius, in his book De re numaria^ hath given the weights, of eleven Aurei, from Nero to Commodus, which he fays were all as perfeft as when they came from the mint. The lighteft weighed 149 Dutch grains, the heaviefl 153; which anfwer to iio| and 113I Troy. The mean taken from all the eleven, is almoft 1 12 Troy grains. Bouterouefound the Aureus from Nero toSeptimius Severus, to weigh from 133 Paris grains to 138; that is, from 109-^ to 1 13I Troy. The mean of thefe two weights is 1 1 grains. This ftandard continued beyond the reign of Sep- timius Severus ; and the Pembroke coins from Nero to that time, give a mean Aureus of almoft 1 1 2 grains. But we cannot fuppofe all of them to be perfe<5f. Greaves’s tables make it 113* for the fame period; but four of his pieces of Hadrian and the Antonines weigh from 117I to 12 1 grains; which is an un- common weight for that age, and might poftibly pro- ceed from an alteration of the ftandard, which did not continue long. ^ Excluding thefe four, the reft, give a mean Aureus of 1 121 grains. Eifenfchmid weighed a great number of fuch as feemed perfeft to the naked eye, and found the beft of them to exceed 136 Paris grains, or 1114. Troy. Butj upon examining them with a glafs, they all ap- peared C 504 ] peared fomehow damaged ; which, fays he, in' To ^heavy a metal, might amount to the lofs of a grain or. two (i ). But the lofs of lels than a grain is very 'difcernible, without the help of a glafs. Upon the whole, if the ftandard weight of the imperial Aureus of forty-five in the Pound, did not exceed 112 grains, the Roman Pound will weigh 5040 Troy grains, as we found it from the con- fular Aureus. Alexander Sevcrus coined pieces of one half and one third of the Aureus, called Semifles, and Tre- inifies (2).;. whence the Aureus came to be called SoJidus, as. being their integer. Soon after the reign of ti)is prince, the coinage bc-» came very irregular, till Conlfantine entirely new modeled it, by coining 72 Solid! of four Scruples, oiit of the Pound of gold (3), and for the Denarius fubfiituting the Miliarenfis, of which I fliall igive 'fome account hereafter. Greaves’s fecond table exhibits twenty-nine of thefe Solid! from Confiantine to Heraclius, weighing from 671 grains to jo\. The mean from the twenty- nine-pieces is 69 grains, which, multiplied by 72, gives but 4968 grains for the weight of the Roman ' i (1) EtfenTchtnicj, p. 34. (2) Lampridius, in Alex. Severo. (3) Siquis tolidos appendere voluerit, auri co£li VI folidos ■quaternorum fcrupulorum, noftris vultibus* figuraios, adpendac pro fingulis unciis, XII pro duabus : eadem ratio fervanda & li materiam quis inferat, ut folidos dedifl'e videatur. Cod. Theod. de Ponderatoribus, § i. Again, IlluJ autem cautionis adjicimus, ut quotiefcunque certa fumma .folidorum pro tituli quantitate •debetur, & auri mafia tranfmittitur, in LXXII folidos hbra feraiur accepta. Cod. Juftin. L. X, Tit.70. de Sufceptoribus, § 5. Pound, [505] Pound. But if the ftandard weiglit of this coin amounted to 70 grains, the Pound will weigh C040, agreeable to what we found it from the Aurti. . P^^brohe Colledion contains o of thefe pieces from Conftantine to Juftinian. Five of them amount to 70 grains, and 29 to 69 ; the reft are lighter, even to 64 grams. But we do not know what prefervation they are in. And uulefs tlie ftandard weight of this com amounted to 70 Troy grains, Conftantme s Pound muft have been fomewhat de- ncient of the ancient Standard. Having thus given as Compleat an account of the Roman gold, as I have* been able to collea from authors of credit,^ and my own obfervation, I fhall proceed to examine the evidence we have of the vveight of their filver money. The C^fular filver is fo unequal, that the Ro- mans muft have been very negligent in fizing their ^eces.^ Villalpandus tells us, that weighing many Denarii of the fame form, infcription, and apparent mapitude, and fo like to each other, that they feem to have been ftruck, not only in the fame aee but even on the fame day, he found them to differ in weight, 5, 9, or lo grains from each other (4). There^ a piece in the Pembroke Colledion, Coin Roma, and X, the mark of the Denarius, on one fide, on the other (4) Cum plures Denario^ appenderemus ejufdem Form* in. fcripnonis, & pene magnkudinis, atque ita fimiks, ut non fo!u?n eoderti tempore, fed codem prorfus die, percuflbs fuilTe conjicerei? tamen eos deprehendimus quinis, novenis, aut denis grand p^n t L/ tTr & "“’PH. P- 357* -t en Roman grains are equal to about 7 f Troy. VoL. Lxr. T 1 1 "^Csftor r 506 ] Caftor and Pollux,, with ROMA In the exergue*- which weighs 81 grains. Another with the like imprefs on each fide, and V the. mark of the Qui- narius behind the head, which weighs 33 grains. A third in the fame page hath the mark XVI behind: the head of Roma, a biga on the reverfe, with ROMA in the exergue, which weighs but 54 grains. As thefe pieces feem to be exhibited, chiefly on account of their uncommon weight, we muft fup- pofe the lightefc to be perfect. In the Britilh Mufeum is a coin like the tenth in. P. 3. Tab. 2. of the Pembroke Collection, which weighs above 73 grains. Another like the fecond in P. 3. Tab. 1 8, which weighs 66| grains; and a third, which feems perfeCl in all refpeCls, with the head of Roma and X on one fide, on the other a Quadriga with the infer! ption C N.G E, which weighs- but 55 grains. It is difficult to account for thefe differences in the- v/eight of the fame coin, efpeclally as Pliny feems to, have been ignorant of fuch inequalities ; for he tells us of anEaftern King, that wonderfully admired the- juftice of the Romans in coining all their Denarii of the fame weight, though the impreffes ffiewed them to be the money, of - different Emperors (5). Perhaps the King only admired the -invention of coining, which was not known in his country ; but Pliny, who tells the ftory, certainly fuppofed all the Denarii, were of equal weight. , Perhaps the heavy pieces of 73 and 81 grains . were ftruck at the mint for private perfons, to give (5) Pliny, Nat. Hift. L. VI. c. 22. . aw.iy>- t 507 ) dway m prefents on Birth»days, and New-year’s, as v/as the cuflom at Rome j and fonie of them may be modern forgeries : but the light pieces of 54 and 55 grains, imill have been owing to the negligence or roguery of the coiners j though fome ofthefe too may be counterfeits. The, following Table exhibits the weights of forty- fix of the faireft Denarii in the Britifh Mafeum, Such of them as are marked w'ith two dots, ai'e a, little worn, though very little. The Biga:i and Quadrigati arc didinguidied by the letters B. aidQ. 66.5 : 66,1 04.15 : ^3^33 63.15 : 63.07 : 63^05 62.7 62,43 62,27 6i,95 61,93 6x,8 ; 61.8 61.73 61.73 61,55 61,52 61.5 : 6r,5 61,35 6i>33 61,2 Troy Q_ B Q. Q, grams 61.15 61,12 : 61,12 61.1 : Q 61,07 : B 60.85 ; ^0,75 60,5 : B ,60,33 ; B 60,3 ; QL 60.2 B '60,05 '59,95: 59.15 : B 58,92: (T 58.85 : 58,67 : Q. 58.2 58.15 57’37: 5(5,87: •56.55 CL 55 >0 CL 46)2803,86 Sum total. 60,95 Mean Dei arius. T t t 2 The _ [ 5o8 3 The mean weight of the Denarius from all thefe pieces is 60,95 grains j therefore, had all of them been perfedt, it might have exceeded 61 grains. But the mean from the twenty-one that are fo, amounts but to 60,92. Either of them comes very near to what Eifenfchmid found it by the like method; though he rejeded fome pieces for no other reafon but becaufe he thought them too light. But a mean from pieces fo unequally fized is not to be relied on. And it may be queftioned whether thole of above 63 grains ever palTed as common coin. Greaves, who had examined many hundred Denarii Confulares, fays the bell amounted to 62 grains ; but had he met with any of 63, or even of 62I, it cannot be doubted that he would have mentioned them in fupport of his Denarius of 62^ grains from the Congius. Therefore the pieces of 63 grains and up- ward mull be very uncommon, whereas they make above a feventh part of the number in this table. Hence I conclude, that the mean derived from this table is of very fmall authority. But if we take 5040 Troy grains for the weight of the Roman Pound, as determined from the Gold coins ; the fcruple will weigh 17I grains ; the Con- fular Aureus, 126; the Imperial Aureus^ ii2j and the Solidus, 70 : all which are probable weights of the feveral Coins; and the Confular Denarius of 84 in the Pound will weigh juft 60 Troy grains. And this muft be very near its true ftandard v/eight; for were we to add only half a grain to it, the Conlular Aureus would exceed 127 grains, which is certainly too great a weight for. that coin. 4 Though [ 509 ] Though Pliny gives no particular account of any alteration in the weight of the Denarius, it was un- oubtedly diminished by the Emperors as well as the Aureus, though by what degrees is uncertain 5 for Oalen tdls us, that the writers on weights and mea- fures ^ffered in the number of Drachms [Dei?arii\ theyaffigned to the Ounce; moftofthem making it to contain yf, fome but 7, and others 8 (6). The later writers make it contain 8 Denarii, of 3/ fcruplej each (7). J t Gi eaves found by examining many Imperial Denarii, that from Augustus’s time to Vefpafian “ they continually almoSl decreafed, till, from being “ the feventh part of the Roman Ounce, they came now to be the eighth part : and therefore 96 were “ coined out of the Roman Libra, whereas before, under the Cbnfuls, 84. From Vefpafian to Alex. “ beverus, as far as he had obferved, the Silver con- tinued at a kind of Stay in reSpedl of weight, ex- cepting only fuch coins as upon fome extraordi- “ nary occafion, both then, and in the firSt Emperors time, were Stamped, either in honour of the Prince “ or of the Emprefs and AuguSta familia, or elfe in, memory of fome eminent adtion. Thefe laSt mod: « ufually were equal to the Denarii Confulares, and « many of them had thefe charadters EX. S. C, or Under Severus and Gordianus, “ the Denarii began to recover their primitive weight, “ but most commonly with a notable abafement’ ‘‘ and mixture of allay (8)..” Eifenfchmid hath (6) Galen, de med. comp. fee. genera, L. III. c. (7) Rhemnius Fannius, Cleopatra, Diofeorides, Sq; Greaves, p. 113. ‘ 3- &c.. C 510 ] 'given'the like account of the Imperial Denarius, and lays he found its weight from Nero to Sept. Sevcrus, to be to the Confular Denarius in the proportion of :? ^ (9)* Having determined the weight of the ancient Roman Pound from the gold coins, to be 5040 ^Troy grains, it feems requifite to fay fomeihing con- ■cerning the heavy weights exhibited by Gruter and Fabretti, which are irreconcileabie to every other •evidence. Thofe with infcriptions are not older than the reign “of Auguflus^ but neither bis coins, nor thofe of his fucceffors, will by any means anfwer to fuch flandards, Fabretti’s mean pound of 5500 Troy grains, ex- ceeds Auzout’s mean Pound from the Congius by above three fourths of the antient Roman Ounce, though that velTel is greater than can be derived from the greateft probable meafure of the antient Roman foot. The weight of fpring-water contained in the cube of half that.foot (which was the legal meafure of the Congius) is thus determined. According to Eifenfchmid’s Table of fpecific gra- vities (i), a cubic Paris inch of fpring-water fhould weigh 374 Paris grains in winter, when liquors are heavieft. Therefore the cube of half the Paris foot (or 216 cubic Paris inches) muft weigh 80784 fuch grains. The greateft probable meafure of the antient Ro- man foot, does not exceed 974 fuch parts as the Paris foot contains 1065:^ (2). (9) Eifenfchmid, p. 33. (i) Eifenfchmid, p. 175. (a) See the Difcourfcon the Roman Foot, Phih Trauf.Vol.LI . ' Aud L 511 ] And as the cube of the Paris foot, is to the cube of the Roman foot, fo are 80784 Paris grains, to 61725! fuch grains, the weight of the fpring- water contained in the cube of half the Roman foot, . But 617251 Paris grains, are equal to 50634, T roy ; therefore the Roman Pound, according to this calculation, fliould weigh 5063* Troy grains, ex- ceeding that derived from the coins, but by 23^ fuch. grains. If, on the other hand, we take Fabretti’s Pound of 5500 Troy grains (equal to 67045 Paris) and reckon the weight of a cubic Paris inch of fpring-water 374.; Paris grains (as before), a Congius of ten fuch Pounds will require a Roman foot of 1 001 fuch parts as the- Paris foot contains 106544 which exceeds any pro- bable meafure of that foot. Thus thefe heavy weights neither agree wjth the- Roman money nor with the Congius which is a- circumftance not eafily to be accounted for,, as the authorities for the larger Pound are indifputable, and’ we do not know that the Romans ufed two weights like our Troy and Averdepoids. The Denarius continued to be the current filver money of the Empire,, till Cjuftantine fubftituted the: Miliarenhs in its dead. The price of gold had been increafing a confider- able time before his reign, which made a new regu- lation of the money, necelfary. For this purpofe,, Conftantine divided the Pound of gold into feventy— two Solid! (3), which was a more commodious. (3) See the Theod, and Juftiaian Codes quoted in p. 504. ' numbes^' [ 5^2 ] number than either 40 or 45, as It divided the Ounce and half Ounce without a fradion. He likewife altered the weight of the filver coin, and fixed the price of the Pound of gold at 1000 pieces of his new filvcr, which were thence called Miliarenfes (4). This he feems to have done in imitation of the ancient coinage j for when the Aureus of forty in the Pound paired for 25 Denarii, the Pound of gold palTed for 1000. ^ But It was attended with this inconvenience, that his Solidus could not be exchanged for its true value in filver; for 1000 divided by 72 is 134.; but itpalTed for 14 (5), which was more than it was worth, and made two prices of gold at the fame time ; one the legal price of 1000 Miliarenfes for the Pound; the other, the current price, of 14 for the Solidus, which muft have occalioned dilputes in the payment of fmall fums. To remedy this inconvenience, it was thought pro* per to alter the weight of the filver money, and hav- ing fixt the price of the Pound of filver at five Solid! (6), to coin 60 pieces out of it (7) ; which (4) M»X»ap)iVjov, TO jj'iXiorov T»k Ta %puo-« x/rpas’ puX») yap c! P«p.a»o» T« ktu yt^txfpfxxTUtrav to ts6(tov rrii rpotff iva J'» O.UT8 (ru^vjxi t« fAiXixpn(TKX,f «Vi vojUjTjwa Xaf^avftv puAiapnina iS . Glollse nomicae, quoted by Gronovius, L. IV. c. 16. de pecunia vetere* (5) See the preceeding note, (6) Jubemus ut pro argenti fumma quam quis thefauris fuerit illaturus, inferendi auri accipiat faeultatem, ita ut pro fingulis libris argenti, quinos Solidos inferat. Cod. Theod. Dc argenti pretio, & Cod. Juftin. L. X. Tit. 76. (7) Gum publica celebrtntur ofEcIa, fit fportulis nummus argenteus,— nec majorum argentcum nummum fas fit expendere, retained C 5^3 ] retained the name Miharenfes, though the Pound of Gold was worth but 864. A fchguaft on the Bafilics tells us, that << One n ‘s "'“‘‘th 1 2 Folles {of copperX or „ “ Miharenfis : therefore izSiliq^s are half a Sohdus, for the whole Solidus is worth 1 2 Mi- harenfo, or 24 Siliquas (8).- The R6man Pound f'ln ‘r^c rj?^ Sihquas (9), therefore there were 72 of th^e Solid! in the Pound; and each of them being worth 12 Miharenfes, the Pound of fiver which was valued at 5 Solidi, muft have contained 60 Miharenfes. How many Miliarenfes Conftantine coined out of^ the Pound of filver is no where faid j but if the price of Gold was nearly the fame in his reign, as when 5 Sohdi were worth a Pound of filver, the Pound mu/l have been worth 144 Pounds of fiver* and 1000 divided by 14.^, gives 694 for the number of^ Miharenfes coined out of the Pound. Therefore It IS probable Conftantine’s number was either 60 or 70. If the former, each piece fliould wei^h 72 « Troy grains; if the latter, 72,4. ^ Eifenfchmid found the larger filver of Conftantine to come up to 90 Paris grains, or 72_!j_ Troy : but the fmaller (which fhould be its half) feldom a- mounted to 40 Paris grains, or 3 24 Troy ; which quam qui formari folet, cum argenti libra una in ar^enteas fexa- ginta dividitur. Cod. Theod. De expenfis ludorum. ^ ^ (8) X,,' ?r, A % Ki,drm f&XH, «V1 .S', W. TO Tp.,0-0^ .S' ir. riSl .ixsV.o, voiAKrfj.a, iysi fMXKx,pr, quantity of gold from Gaul, that he fold it through- out Italy and the Provinces for 3000 nummi the Pound (5). 3000 nummi make 750 Denarii j and 750 is to 84, as 844 to I. This was its price as merchandize, when the market was overfiocked, and the feller in hafte to difpofe of his goods y but what etfedl it had on the coin, we do not know* By the diminution of the Aureus for above half a century before the reign of Conftantine (6), the price' of gold appears to have been rifing, till it came to. above 1 4 times its weight in filver j for five Solidi of 72 in the Pound, being valued at a Pound' of fil- ver (7), the proportion between the two metals was. ag 144 to I.. § V. Of the of the ancient Greek and Roman money. IT does not appear that either the ancient Greeks, ©r, Romans allayed their money, but coined the (^c) Suetonius in Julio, c. 54. (6); See the Pembroke Collection, from Tab. XX. toXXIV., f7) S.ee. Ccxl. Jufiinian. L..X. Tit.. 76.. quoted above. metals I C 523 ] metals as pure as the refiners of thofe times could make them : for though Pliny mentions two inftances of the contrary at Rome (i), the example was not follovvcd, till the later Emperors debafed the coin : and his expreffion, rnifceiiiur cera faljce monetce^ (hews he thought the pra£lice illegal. Though the ancients had not the art of refining fil- ver, in fo great perfedlion as it is now pradlifed, yet, as they mixed no bafe metal with it, and effeemed what they coined to be fine (ilver, I (hall value it as fuch. Sixty-two Englifli Shillings are coined out of 1 1 ounces 2 p. wt. Troy of fine (ilver, and r8 p. wt. allay. Therefore, the Proy grain of fine (ilver is worth ^V-rths of a Farthing. Hence the Attic Drachm of 66 1 grains will be found worth a little more than Ninepence farthing j the Obole, a little more than Three halfpence ^ and the Chalcus, about ~ of a. Farthing. Buj, for the redudfion of large fums to Englifli money, the following numbers are more exa6t. The AtticgDrachm The Mif]a . . The Talent £• . •S’* . o . o . 9,286 • 3 • ^ 7 • • ^3 ^ • 3, • Hence the Mina exprefied in Pounds Sterling and decimals of a Pouna will be jT, ^,869 j the Talent 4'' 232,15. ^ The Romans reckoned by J/Jh before they coined filver, after which they kept *their accounts in Sef- terces. The word Sefiertius is an adjedive, and figni- (i) Pi'iny Nat. Hift. L, XXXIII. C. 3. ,?C C. 9. X X X 2 [ 52+ ] fies two and a half of any fubdantive to which It re- fers. In money matters its fubftantive is either As> or pondus ; and Seftertius As^ is two Ajjes and a half; Seftertium pondus, two pondera and a half, or 250 Denarii. (2). ^When the Denarius paded for ten AJJes^ the Sef- tercc of 2 1 AjJes was a quarter of it; and the Ro- mans continued to keep their accounts in thefe Sef- terces long after the Denarius pafled for fixteen Ades ; til, growing rich, they found it more convenient to reckon by quarters of the Denarius, which they called Nummi, and ufed the words Nummus and Sedertius, indifferently as fynonymous terms, and fometimes both together, as Sedertius nummus ; in which cafe, the word Sedertius, having lod its ori- ginal fignification, was ufed as a fubdantive ; for Sedertius nummus was not two Nummi and a half, but a fingle Nummus of four Ajfes. They called any fum under 2000 Sederces fo many Seftertii, in the mafculine gender; 2000 Sef- terces they called duo or bina Sedertia, in the neuter ; fo many quarters making 500 Denarii, which was twice the Sedertium ; and they faid dena, vicena, 6cc. Sedertia, till the fum amounted to a thoufand Sedertia, which was a million of Sederces. But, to avoid ambiguity, they did not ufe the neuter Seder- tium in the fingular number, when the whole dim amounted to no more than 1000 Sederces, or one Sedertium. They called a million of Sederces Decies num- mum, or Decies Sedertium, for Decies centena mil- (2) See Gronoviiis, Dc pecunia vetere, L. I. c. 4. lia 2 [ 52S ] lia nummofum, or Seftertiorum (In the mafculine gender) omitting centena millia, for the fake of brevity : they like wife called the fame fum Decies Seftertium (m the neuter gender), for Decies centies Seftertium,omittingCenties for the reafon above-men- tioned or limply Decies, omitting centena millia Seftertium, or centies Sellertium j and with the nu- meral adverbs, Decies, Vicles, Centies, Millies, and the like, either centena millia, or centies, was always underftood. ^ Thefe were their moft ufual forms of expreffion, though for Bina, Dena, Vicena Seftertia, they fre- qu^ently faid, Bina, Dena, Vicena millia num- mum (3) i and Cicero, in the paffage quoted in the margin, hath ufed Mille Seftertia, for Decies Sefter- tium. But Gronovius fays, that expreftion is not to be found elfewhere, and fuppofes it to be a falfe reading. If the Confular Denarius contained 60 Troy grains of fine filver, it was worth fomewhat more than Eightpence farthing and a half Sterling j and the of fixteen to the Denarius, a little more than a Half- peny. To reduce the ancient Sefterces of 2| AJfes, when the Denarius paffed for 16, to pounds Sterling,, mul- tiply the given number by 5454, and cut off fix' figures on the right hand for decimals. To reduce Nummi Seftertii, or quarters of the; Denarius, to pounds Sterling ; If the given fum be Confular money, multiply by 8727, and cut off (3) Suetonius in Julio, c. 3S. Cicero in Verrem, L. T., § 14- f 526 ] fix figures on the right hand for decimals ; but for Imperial money, diminifli the faid prodiid by one eighth of itfelf. For example, Cicero fays, Verres had received Vicks, ducenta triginta quinqe millia, quadringentos decern^ feptem nummos, or 2.235.417 Sefterces : this being Confular money, multiply by 8727, and cutting off fix figures from theprodud:, 19508,484159, or 19508 /. 9 j. 8 d. will be their value in Engliili money. Again, Suetonius relates, that when Vefpafian came to the Empire, ‘he found the treafury fo' ex- haufled, that he declared Quadringenties millies, or 4.0.000.000.000 nummi, were wanted to fupport the Government (4). This was Imperial money, w'hich, multiplied by 8727, and cutting off fix figures from the produ6l, gives 349.080.000 One eighth of which, 43.6^5.000 being fubtraded, leaves^. 305.445.000 PountlsSterllng. But Budajus fuppofes, that for §luadringenties mil- lies, we ihould read ^adragies fnillies, which re- duces it to 30.544.500, and is a much more probable fum. Il the Miliarenfes of 60 in the pound were fine filver, and weighed 84 Troy grains, they were worth 46,918918. .. Farthings and decimals, or almofl 1 1 pence 3 farthings Sterling ; and the Solidus paf- fing tor 1 2 of them, was worth a little more than 1 1 5. 8 d. 3 /. The Found of gold was worth 864 of thefe Mili- arenfes, amounting to 40537,94 Farthings and de- (4) Suetonius, in Vcfpafiano, c. 16. cimals. [• 527 ] elmals, which, divided by looo, give 4o,c_58, or above lo pence and half a farthing for the value of Conftantine s Miliarenfis in Englifh money. Conflantinopolitans kept their accounts in Solidi, which are reduced to pounds Sterling, by muU number by 58648, and cutting oft five figures on the right hand for decimals. \ Conclusion. THE Greeks had no money at the time of the Trojan war 5 for Homer reprefents them as traffick- ing by barter (i), and Priam (an Afiatic) weighs out the ten talents of gold, which he takes to ranlom his fon’s body of Achilles (2). This ponderal Talent was very fmall, as appears from Homer’s defeription of the Games at the Fune- ral of Patroclus, where two Talents of gold are pro- pofed as an inferior prize to a=mare with foal of a mule.. Whence I conclude it was the fame that the Doriam Colonies carried to Sicily and Calabria ; for Pollux tells us,» from Ariftotle, that the ancient Talent of the Greeks in Sicily contained ’24 Nummi, each of which weighing an Obole and a half, the Talent muft have weighed fix Attic Drachms, or three Darics ; and Pollux elfewhere mentions fuch a Ta-- lent of gold. But the Daric weighed very little more tl^n 'Our Gmneaj and if 2 Talents weighed: about 6 Guineas, vve may reckon the mare with foal-: worth 1,2. j which was no improbable price,, fmee.- [ 528 ] we learn from a' pafTage in the Clouds of Arlftophanes, that, in his time, a running horfe coft 12 Minas, or above 46 pounds Sterling. Therefore, this feems to have been the 'ancient Greek Talent, before the art of ftamping money had introduced the greater Talents from Alia and Egypt. Herodotus tells us, the Lydians were reputed to be the firfl; that coined gold and filver money (3) j and the Talent, which the Greeks called Euboi'c, certainly came from Afia. Therefore, the Greeks learned the ufe of money from the Afiatics. The Romans took, their weights and their money,, either from the Dorians of Calabria, or- from Sicily s for their Libra, Uncia, and Nummus, were all Doric words, their Denarius was the Sicilian AszocXiJ^ov ; and Pollux tells us, from Ariftotle, that the Sicilian Num- mus was a quarter of the Attic Drachm (4) j and the Romans called a quarter of their Denarius by the fame name. The weights I have produced of the Greek and Roman coins, fo fully prove the ancient Attic Drachm to have been heavier than the Denarius, . that it may feem fuperfluous to quote any authorities in fupport of their evidence : nor Hiould I do it here, but in order, at the fame time, to anfwer an objedion which may be made to the weight I have afiigned to the Attic Drachm. In the treaty between the Romans and Antiochus; recorded by Polybius and Livy (5), the weight of (3) Herodot. L. I. § 94. ' ■ (4) See Pollux, L. IX. c. 6. § 80, 81. 87. & L. IV. c. 24. § 175. (5) Polybius, Excerp, Leg, § 35. Livy, L. XXXVIIL c. 38. the C 529 ] the Euboic talent Is fet at 80 Roman Pounds. The Talent is not, indeed, called Euboic, in the Treaty, which was fuperfluous when its weight was fpeci- fied ; but both hiftorians, in relating the, terms offered by Scipio to Antiochus, on which this treaty w'as founded, call it fo(6). Therefore in Livy’s recital of the treaty, for yirgenti probi XII milUa Attica ta~ lenta, we fhould read, with Gronovius, Argmti probi Attici XII millia talenta. In § II of this difcourfe, I have endeavoured to prove that the Euboic Talent was equal to the Attic j and if fo, it contained 6000 Attic Drachms j but 80 Roman pounds contained 6720 Denarii; therefore, according to this treaty, the weight of the Attic Drachm muff be to that of the Denarius, as 6720 6000, And, even if the Euboic Talent was heavier than the Attic, in the proportion of 72 to 70, the Attic Drachm would ffill be heavier than the Denarius ; for in that cafe, the Euboic talent fhould contain 6171 Attic Drachms, and the two coins would be in the proportion of 6720 to 6171. But an anonymous Greek fragment publiffied by Montfaucon (7), makes 100 Attic Drachms equal to 1 1 2 Denarii; which proportion of the two coins being the fame with that of 6000 to 6720, feems to have been taken from this treaty ; and if it was, that ^ writer certainly thought die Talent therein mentioned, equal to the Attic* t6) Polyb. Exc. Leg. § 24. Livy, L. XXXVII. c. 45. (7) Anale6ta Gr«ca, p. 393. Paris, 1688, in Quarto. VoL. LXI. Y y y This [ 53° ] This proportion, however, doss not agree with -the weights I have alTigned to the two coins j for if the Denarius weighed 6o Troy grains, and 'the Attic Drachm 66|, 6650 Denarii Ihould weigh 6000 Attic Drachms, o-r a Talent; but tliis number of Denarii is deficient of 80 Roman Pounds, by juff 10 Ounces. Now, this adjufitnent of the Talent to Roman Pounds, w'as probably cccafioned by the Greeks at- tempting to impofe light weights upon th$ Romans, w'ho finding the Talent to exceed 79 Pounds, might take what it wanted of 80 in their own flwour, t.o punidi the Greeks for their unfair dealing. Or, the flandard the Romans pitched upon for the Euboic Talent might be fomewhat over-weight ; and the Coin of Lyfimachus above-mentioned, makes this conjedture not improbable j for that in the podefTion of Mr. Duane weighs 537,6 Troy grains, which di- vided by 8 gives a Drachm of 67,2, exadly the weight required by this treaty, fuppofing the Dena- rius to weigh 60 grains. But the gold coins of Philip and Alexander are fo perfect, and fo correctly hzed, that their authority is indifputable ; and if the mean Drachm of 66| grains derived from them were fomewhat too fmall, it cannot be increafed by ^ above a quarter of a grain. Therefore, I fuppofe the great weight given to the Talent by this Treaty,, may arife, partly from too heavy a flandard, and partly from .the Romans taking the turn of the fcale in their own favour. After the Romans became maflcrs of Greece and Afia, the Athenians might find it their interefl to lower their Drachm to the weight of the Dena- rius, [ S3I ] rlus, long before they were reduced Into the form of a Roman Province, by Vefpafian. When they did this, and whether they did it gradually, as may feem probable from fome Tetradrachms now remaining, is uncertain ; but that they did fo, fooner or later, can- not be doubted. Pliny and Scribonius Largus exprelly fay, the Attic Drachm was equal in weight to the Dena- rius (8) : and A. Gellius, who, having refided long at Athens, could not be ignorant of the value of the current money of that city, fays loooo Drachms were in Ropaan money, fo many Denarii (9). And the Attic gold coin above-mentioned, in the Britifli Mufeum, is a proof of their having reduced their money to the Roman ftandard. Thefe are the moft authentic teftimonies that the two Coins ever were equal ; for though all-.the Greek writers of Roman affairs, call the Denarius, Drachma, it is no proof of their equality ; for one being the current coin of Rome, as the other was of Athens, and not very unequal in value, a Greek might confider the Denarius, as the Drachma of Rome, and tranflate it by that word, which was familiar to his countrymen j as we call the French Ecu, or the Roman Scudo, a Crown j which hath . no more affinity to the French or Italian names> either in found or fignification, than Drachma hath to Denarius. (8) Pliny, Nat. at the end of L. XXI. Scr. Largus, i|t his Preface. (9) A. Gellius, L. I. c. 8. Hoc facit nummi noftratis Dena- rium decern millia. Y y y 2 But [ 532 ] But the opinion that the ancient Attic Drachm was really equal to the Denarius, hath occafioned much confuhon in the writers on this lubjedh. Hence it is, that Rhetnnius Fannius hath told us ot an Attic Libra, or Mina (for he calls it by both names) of 75 Drachms ; for the Roman Pound being reckoned to weigh 75 ancient Attic D.achms, Fannius, fuppofing them to be equal to fo many Denarii, concluded it rwufl: be an Attic weight, as it could not, on luch fuppolition be the Roman Pound. An anonymous fragment lays, The Attic Mina * weighs 12 Ounces^ the other 16(1): the lormer was the Roman Pound ; the latter, tlie ancient Attic Mina. Which makes it probable, that when the Athenians reduced their money to the Roman ftandard, they adopted the Roman Weights ; and this may have occafioned many midakes in the later writers. The great difproportion between the copper and ' filver money, when the Romans fird coined the latter, hath induced many to believe that the fird Denarii mud have been heavier than the eighty -fourth part of their Pound ; thinking it incredible that filver diould ever be valued at 840 times its weight of copper. But they can produce no ancient author of credit, in fupport of this opinion. On the contrary, Dionylius of Halicarnadus, who made diligent enquiry into the antiquities of Rome, while all, or mod of the evidences relating to then> were in being, giving an account of the fird indi- i \ ) See the Appendix to Slcphcns’c Gicck ThcfatiPus, tut ion [ 533 } •tution of the ClafTes by Servius Tullius, hath valued what the Romans called centu7n millia o‘ris^ or looooo Pounds weight of copper, no higher than too Mi- nas (2), which is at the rate of a Drachm for every 10 Pounds of copper j and this valuation he muR have taken from the price of copper when the Ro- mans firH; coined filver, reckoning the Denarius of that time equal to what it was W'hen he wrote. Btit had the firfl Denarius been Didrachmal or Tetra- drachmal, fo well-informed a writer inud have known it, and would have valued the copper money accordingly. Neither is it probable that Pjiny,, who- hath given fo particular an account of the diminution of the As^ fhould omit that of the Denarius. But it is not impofhbie that fiiver might be fo- fcarce at Rome when it was hrfi; coined there,, as to- bear the above-mentioned proportion to copper; and the Romans, not being a trading people, might have no regard to its value elfewhere. It is likewife pro- bable, that,, through ignorance and inexperience in. money matters, they fet too high a value on it at firfl ; which feems to have been the cafe,, by its quick: redu<. r I ] i i * 1 ;l i A 1 i y i [ 547 ] L. A Supplement to a former Paper^ concerning Difficulties in the Newtonian Theorjr of_ Light : hy the Rev, S. Horfley^ L L. B, F, R, S. Problem I. Read Dec. 1,9, ^ P ARCKL of equal Circles being dlf-' /L pojed upon a plane Jurface, of any figure whatfioever, in the clofiejt arrangement po[]ihle^ to determirw the ultimate proportion of the fpace covered by all the Circles^ to the fpace occupied by all their InterficeSy when each circle is inpnitely fmally and the fpace y over which they are difpofedy is of a. fake magnitude. The clofeft manner, in whiclr a parcel of equal' circles can be difpofed upon a plane, is when the centers of every three contiguous circles are htuated’ at the angles of an equilateral triangle, which hath * each of its fides equal to a diameter of any one of the circles. A number of circles, thus difpofed', may be di- vided, as Tab^ XVII. lliews,. into feveral. rowTS of circles, having their centers ranged upon parallel right lines, AG, IIP, Q.X, r 'Zi 6cc. Every, 4 ^ 2 .circle,. . , C 548 ] circle, which is not in an outermoft row, or at the extremity of any other row, touches fix others, namely two in its own row, and two in the row on either fide of its own ; and each adjacent pair of thefe fix do alfo touch each other. In the outer rows, every circle, which is not at one extremity of its row, touches four others, two in its own ; row, and two in the row next befide it ; which laft two do Hkewife touch each other. A: circle at either extremity of an outer row, touches only a fingle circle in its own row, but ^either one or two in the row next befide it. The. bare infpeftion of the figure (Tab, XVII.) will make thefe aflertions manifefi-. Now, imagine the equal circles, exhibited in the figure, to be each i infinitely fmall, the number of them being infinitely great, and the whole fpace over which .they are difpofed being of a finite magni- tude. . The ultimate proportion of the fpace covered by all the Circles, to the fpace occupied by all their Tnterfiices, is that of | the area of one of the circles to the^ whole of one interftitial area, /. e. the pro- portion.of 39 to 4 very nearly. Demonstration. The circles ranged along the parallel right lines A B, H P, form two rows of interfaces ; the row marked a, c, d, 6cc. and the row marked a, /3, y, S, &c. and, in like manner, two rows of interftices are formed by every two contiguous rows of circles. Now, the numbers of the circles ranged along the feveral parallel right lines, AG, HP, Q^X, &c. are either equal or unequal, according to the figure of the fpace over which they are difpofed. I Cafe I. . C S49 3 Cafe I. Flrfl fuppofe, that an equal number of circles is ranged along each of the parallel lines ; in which cafe, the figure, in which they are included^ mufi: be a parallelogram. The number of circles, rang- ed along the parallel right lines A G, H P, being equal, the number of interftices in each of the rows, h, Cy dy &c. ay I3y y, Sy 6cc. IS Icfs by unity than the nurpber of circles upon either line, AG, or HP, be that number what it will. Thus the two circles A, B, upon the line AG, with the two circles H, K, upon, the line HP, have the fingle interfiice in the row a, by Cy dy 6cc. and the fingle interftice a, in the ^ row a, /Q, yy $y &c. Again, the three circles A, B, C, upon the line AG, with the three, H, K, L, upon the line H P, have the two interftices Cy by in the row by c, dy &c. and the two a, (3, in the^ row ccy (3, yy J', &c. And univerfally, if the num- ber of circles in each row be w, the number of in- terftices, in each of the two rows of interftices, will, be w — I. Confequently, the whole number of interftices formed by thefe two rows of circles is. ' 2 w — 2. In like manner, the two rows of circles HP, QX, form two more rov/s of interftices. Andt the number of circles upon each line, H P, QX,, being w, the number of interftices in each row is , m— I, and the whole number in both rows 2w— 2,. Therefore, the whole, number of interftices formed by the three rows of circles, AG, HP, QX, is zm — 2 twice taken, or 2 m — 2 x By the fame reafoning, if a fourth row of m circles, rX be added, the num- ber of interftices formed by the four rows is^, — 2 X 3^ And univerfally, if there be 7r.rows - off [ 55° ] of equal Girelbs, and w circles in each row, the number of interftices- formed by all tlie rows is zm — 2 X n — 1. Now, when the circles are in- finitely fmall, their diameters are infinitely fmalL Therefore,, the fpace which they cover being, of finite magnitude, it is necefTary, that both the number of circles in each row, and the number of rows, that is,- that each- of the numbers, m and fliould be infinitely great. But when m and n are each in- finitely great, zm — 2*x n — i, that is,, the num- ber of interdices, becomes ultimately zmn\ and the interdkes being all equal one to another, if the area of one be called P„ the fam of their areas will bo zvm X P. But the number of circles in n rows, each rov/ confiding of 7n circles, is mn'y. ajid the circles being equal, if the area of one be called A, the dim of their areas will be mn x A. " Hence the fpace covered by all the circles is to the fpace covered by all their interftices, when the magnittftie of each circle is infinitely diminidied, and the number of them fb infinitely augmented, as that they diaFl cover a fpace of finite magnitude, ultimately, as to 2W72xP, that is, as A to 2 P, or as ^ A to P, that is, as £ the area of one circle to the whole area of one interdice. Cafe 2. Now, fuppofe, that unequal numbers of circles are ranged along the feveral lines AG, HP,, QX, &c. which mud always be the cafe, if the figure of the fpace, in which they are contained, be any other than a parallelogram ; and let the number upon AG be the greated of all, and call that num- ber, as before, m. If from the row HP, the ex-’ tremc [ 5SI ] treme circle P be taken away, all the reft being left, the interftice f will be taken away, and all the other interftices, formed by w circles upon HP, with m -circks upon AG, will remain. If again the circle O be taken away, befides the interftice f already taken away, the two e, f will difappear ; and every circle more that is taken away, of thole remaining upon HP, from the extremity of the line, two more interftices will difappear. If from the row of circles HP, the extreme circle H be taken away, the two interftices a, will difappear. And if the circles Iv, L, M, be taken away fuccelTively, every new circle that is taken away, two more interftices will difappear, of thofe formed by the two rows AG, HP. Again, if the two circles P and H be taken away, the three interftices a, will difappear; and every circle more that is taken away, from either extremity, two more interftices will difappear. Hence whatever number of circles be taken away out of m circles upon H P, provided they be taken fuccef- fively, from either or both ends of the row (and when the number of circles upon H P is fuppofed lefs than that upon AG, the deficiency muft be at the end, not in the middle of the row, otherwife the circles remaining would not be in the clofeft arrangement), it is evident that the number of interftices which dif- appear, of thofe which would be formed by m circles upon H P, with 771 circles upon A G, muft be either double the number of circles taken away, or lefs than the double of that number by i. That is if m — a be the number of circles left upon 'HP, the number of interftices formed by them, with 771 circles upon A G, is left than the number which would be 2 formed [ 552 ] formed by m circles upon HP, with m circles upon AGf either by 2 a, or by 2 <2 — i. The number of interftices formed by w circles upon each row" would be, as hath been fliewn in the preceding cafe, 2 w — 2. Therefore, the number formed by circles upon AG, with’/w— circles upon HP, is either 2m — 2 — 2a, or 2w — 2^ — i. That Is, ulti- mately (when the number m^a is infinitely in- creafed) 2 m — 2 a. Now, fuppofe the number of circles upon to be m — a — b. The number of circles upon the two rows AG, HP, is 2 ;/z a, Upon the three rows A G, H P, QJC, the number is 3 w . — 2 a — b. And if the number of circles upon V X, be m — a — b — €, the number of circles upon the four rows A G, H P, QJC, r S, will be 4;;? — 3^ — 2b — c. And, univerfally, the num- ber of rows being n, and the number of circles upon the feveral rows, m^a — b, m-^a-^b—c, m — a — b — c — d, &c. fucceflively, the whole number upon all the n rows will be hc correfponding pofitive term of the former., "by a number wUi^vaniflies with refpedl to either of thole cor- refponding terms, when it becomes infinite. Therefore, when M becomes infinite, the whole of the latter expreflion becomes . 'the double of the whole of the former. Hence the conclufioii, is a4 before. The [ 555 ] , The area of the triangle, AHB, is equal to^the areas of the three feftors A TO, BOT, H'^'T, aoded to the interftitial area TOT. But the triangle APIB is equilateral. Therefore each of the feftors A TO, EOT, H T T is of the circle to which it belongs : and, the circles being equal, the three fedbors are equal to the half of any one of the circles. Therefore, the area of the triangle AHB is equal to | the area of one circle ^as of A) added to the intcilditial aiea yOT. Tlierefore, from the area „of the triangle A H B take | the area of the circle A, and there will remain the interftitial area TOT. Now, if the sadius AO be put zr; i, each iide of the triangle AHB will be 2. Therefore, the area of the triangle AHB| _ ^ - q- will be . . -> But the radius being J, | the area of thed^^^^^g circle A is The difference is 0,1612 And this is, the interditial area TOT, the half area of the circle A being Therefore, the femi- circle is to the interftice as 1,5708 to 0,1612, or as 9,74 to I, or as 39 to 4, very nearly. Corollary. If a parcel of equal circles be fo difpofed upon a plane furface of any figure whatfoever, that the centers of every three adjacent circles are fituated at the angles of equal equilateral triangles, having Tides greater than the diameters of the circles, but greater in a finite proportion, the ultimate proportion of the fpace ^ 4 B 2 covered [ 556 ] covered by all the circles to the fpace occupied by all the interftices, when each circle is infinitely dimi- nilhed, and the number of them fo infinitely in- crealedj that the /pace over which they fpread is ot a finite magnitude, is that of | the area of one circle to the whole area of one interftice. And the area of any one interftice is equal to the difference of the area of the equilateral triangle, formed by the right lines joining three adjacent centers, and i the area of one of the circles* Problem II. To determine the greateft pofible denfity of an in- fnitely thin cruji compojed of equal JpheruleSy having their centers all in the fame plane. i From the number 39 fubtrad its. third part. To the number 4 add the third part of 39. The re- mainder is to the fum, that is,, 26 is to 17, very nearly, as the fpace occupied by all the matter to the fpace occupied by all the pore, in an infinitely thin cruft, of the greateft poffible denfity, compofed of equal fpherules, having all their centers in the fame plane. Demonstration. Upon a bafe of innumerable infinitely fmall circles, arranged in the dofeft manner poftible, (according to Prob. I.) imagine right cylinders to be ereded, each cylinder having one of the little circles for its bafe, and its altitude equal to the diameter of its bafe! Thefc 3 [ 557 ] Thefe cylinders are in the clofeft arrangement pof-- fible for equal cylinders ; and the fphercs, which they circumfcribe, are in the clofeft arrangement poflible for equal fpheres, which have their centers in the lame plane. The folid fpace occupied by the cylin- ders, is to the folid fpace occupied by their inter- ftices, as the furface covered by their circular bafes, to the furface covered by the interftices of their bafes : That is, as 39 to 4, very nearly, by the firft Problem. But the Ipheres contained within thele cylinders are each- but 4 of the containing cylinder. The folid con- tent therefore of all the fpheres is but 4 of the folid content of all the cylinders; and the remaining third part of the folid content of the cylinders, together with the interftices between the cylinders, makes up the whole of the interftices between the fpheres. Therefore, the fpace occupied by the fpheres is to the fpace occupied by their interftices, as 39 — ^ to 4 + 7* or as 26 to 17, very nearly. The fpheres being in the clofeft arrangement poflible, if each be a folid atom, or without pore within its own dimenfions, then, the infinitely thin cruft, which thefe atoms compofe, is plainly the moft denfe that can be compofed of equal fpherules, having their centers in one plane.. And the fpace occupied by its matter is to the fpace occupied by its pore, as 2j6 to 17, very- nearly. Scholium. If the component fpherules, inftead of being'folid, be fuppofed to be each of the denfity of gold, in which one half of the bulk may reafonably be fuppofed to be [ 558 ] • . be pore,' then only 4 of the fpace, which they occupy, is filled with matter, and the other half is to be added to the pore. Hence fpherules of the denfity of gold, arranged in the clofcfl manner poffible, iiaving their centers in one plane, compofe a cruft, in which, ‘ ids, or fomewhat more than ilths, of its bulk is matter. Therefore, the denfity of fuch a cruft is fomewhat greater than i2 times that of water, fince ^*^th only of the bulk of water -is fuppofed to be matter, and i®ths is pore. S. Horfley. fThe fir ft of ihefc two Pf'ohlems^ enabled me to determine the greateji poftible number of fpherical particles of a given magnitude^ that could find room to lie at one time up07i the furface of the Sun ; a?td^ by the Jecondt I found the denfity of the crujh which fuch paj^ticles, in the elofeft arrimgcment prfflble^ with a given denfity of each particle feparateiy^ would eompeje. U. An [ S59 1 Received November 14, i77i'» LL An Account of the going of an Afro- nomkal Clock : By the Rev, Francis- Wollafton, R. S, :Rcad Dec. 19^^ TAVING heard Ifoften lamented,, that very few regiders of the going of clocks have been communicated to the public j, I take the liberty to lay before the Society fuch obfer- vations as I have made to afeertain mine; and (hall: be happy if my amufements can in, any way be of the leaft fcrvice to any one. My clock was made by Holmes.. The pendulum rod is of deal, to which the ball is ferewed fall ; aud- it is adjufted by a fmaller weight underneath. The; clock beats dead feconds ; and is faftened to a prin- cipal wail, independent of the floor*. The room never has a fire in it. The tranfit telefcope, with which I made the ob-- fervations, has an achromatic objedl: glafs, of only 14 inches focal length, and magnifies about 15 times; its tranfverfe axis is but 12 inches long, and' it is. mounted on a vertical axis of 18; being defigned for an equal altitude inftrument likewife,.and .fo ufeF [ 5^0 ] in fome of the following obfervations. It is faflened to a large ftone pillar, bedded on the wall of the houfe ; and is adjufted in the meridian, to a mark 700 feet diftant. I mention thefe particulars, becaufe the obfervations fliew that even fo fmall an inftrument is capable of tolerable exadlnefs : and it is for that reafon I have fet down the refult of all the tranfits I have taken for a year part ; though much fewer would have fufficed for (hewing the rate of the clock. The obfervations themfelves are not here ; becaufe I would not trouble the Society with fuch a detail ; elfe they (hould readily have had them. It can be of no fervice to falfify calculations, which might have been with- held; and I believe to the beft ot my abilities, thefe are done accurately. I am fure they are delivered faithfully. The I ft and 2d columns require no explanation. The third fliews how much the clock proved to be or too faft, — or too flow, for mean folar time upon each obfervation, when it came to be calculated afterwards. The marks : : or : are fet down as any one appeared to me to be more or lefs doubtful at the time of obferving. The calculations will (hew which are really moft to be fufpedfed. The fourth column (hews how much the clock varied per day, when compared with the preceeding obfervation of the (ame objeeft. The fmall variations in thefe, are owing probably to errors in obferving, rather than to the clock itfelf. I do not pretend in obferving to diftinguKh nearer than to half a fecond; though the calculations are fet down in decimals. In [ s6i 3 In the middle of February, when the firft change was, the froft was intenfe ; and the pendulum did not, for fome days, throw-out fo far by about 7' as it generally did ; which was about 1° 37' on one fide, and i® 40' on the other. At the change in Auguft, I obferved no difference. It appears by thefe trials as if the clock gained in warm and loft in cooler weather : but this is not clear. It began to gain before the weather grew warm. Whether this be owing to damp, or any other caufes i longer experience and abler obfervers may difcover. [ VoL. LXI. 4 C' 1770 [ 5^2 3 1770 Clock + too fall — too flow Varies from mean time per day 1771 Clock too fall — too flow Varies pr.day / // n / // n 11 Nov. I j3 Pegafi Cl. + 0,5 If Jan. 10 Rigel Cl.—i 43»7 —2,2 a Andromcdae + o>i ? 1 1 0 — I 44»2 —0,5 ¥ n Opr. eq.Ak.&Tr. 2,6 B Andromeda — I 42,3 —0,8 O 4 Fomalhaut — 2,7 0 13 »i Pleiadum — I 45.6 |3 Pegafi *— 1,8 —0,8 22 Rigel — r 54.9 —1,0 i ‘3 0 —i3»4 “-1,0 ¥ 25 Rigel — 2 0.7 —1,9 Q Pegafi — 10,0 — 0,9 0 27 y Andromeda — 2 1.3 —1,2 » Andromcdee —10,5 —0,9 ? Feb. I Rigel — 2 9.7 — 1.3 h 17 0 — 18,0 —1,1 0 3 © per equal Alt. — 2 12, B Pegafi : -—16,9 —1.7 1) 4 0 :: — 2 13.3 ••-1,3 a Andromeda; — 16,9 —1,6 9 >3 Sirius — 2 16,4 + 0,5 2^7 7 Ce:i -—24,4 If 14 0 — 2 15. 1 + 0,2 28 G —25,6 —0,5 Rigel — 2 1C.4 + 0,2 CC ^ —25.7 —0,9 Sirius — 2 16,6 — 0,2 O Dec. 1 6 y Andromedae :: — 51, |0 >7 Sirius — 2 14. + 0,8 y? 22 Fomalhant — I 6,4 —1.3 23 Rigel — 2 >3.4 + 0,2 B Pegafi — I 6,3 — 1,6 ^Mar. 9 Caftor — 2 5.2 o 23 B Pegafi — I 7H —1,1 Procyon — 2 5.5 + »,7 y Andromedae — I 6,3 0 10 Caftor — 2 3.5 25 a Ceti — I 14,0 Procyon : —2 4.3 + 2,0 i; 27 Rigel — I 16,3 1 1 1 Procyon — 2 2,3 y Orionis : —I 15,9 $ »3 a. Orionis — 2 0,4 + 1,1 ^ Orionis — I 17,3 Caftor — 2 0,2 + 0,5 e Orionis — I 17,0 Procyon — 2 >.3 + 0,4 o 30 a. Andromedae : — I 22,2 ¥ 15 at Orionis — I 59.6 :+o,5 ' B Andromedae — I 22,0 Sirius : — 2 0,1 :+0,5 1771 Procyon : — 2 0.5 + 0,5 0 Ian. 6 B Andromedae —I 37>5 —2,1 h 23 Sirius — I 56,1 + 0,5 y Andromedae — > 37.5 — 2,2 Procyon — 1 56.3 8 « Andromeda —I 40,5 —2,0 0 24 at Hydra — I 55.6 +0,6 B Andromeda 39.3 — 0,8 5 27 0 per equal Alt. — 1 51,8 + >.4 Rigel — I 40,4 —2,0 If 28 at Hydra — I 50,1 + 1,0 9 0 : — > 43.3 h 30 Opr.eq.Alt.&Tr. — I 48,8 + 0,3 B Andromeda — I 40,1 •—0,8 0 31 Sirius — I 49,8 +0,3 y Andromeda — I 40,8 — i»i D Apr. I 0 — 1 48,2 + 0,4 B Medufa — I 41, Sirius — I 49.4 +0,0 Rigel — I 41,5 —1,1 $ 2 0 — 1 48,2 + I.+ 10 y Andromeda —I 4>>9 — i»t Sirius — I 48,0 1771 [ 5^3 ] 11771 Clock too fail — too flow Varies from mean time per day 1771 Clock + too fall — too flow Varies pr.day / // // f ft ft Apr. 2 Procyon Cl—i 48,4 + Oj8 l+June 20 X Coronte Cl. +38,4 a Hydrae — I 48,3 + 0,4 ? 21 0 + 39.7 -{“1.6 3 0 : — I 47 : +1,2 X Coronae + 39.3 +0.9 5 0 — I 4S»3 -f 0,9 Antares + 39.3 4*1.1 8 0 — I 43»7 +0,; h 22 0 + 40.6 +0,9 Sirius — I 43>S + 0,7 25 0 + 43,4 +1.4 Procyon — I 44>3 + 0,7 Antares : +• 45*5 +1.5 9 0 — I 4i>7 + 2,0 * Ophiuchi + 46 Sirius — I 42.4 + 1,1 U 27 0 + 47.75 +1,2 Procyon — I 42,4 + 1.9 T? 29 0 + 5J.2 +1.7 11 0 — I 38.5 + 1,6 Arfturus + 51,0 Sirius — I 39»5 + 1.4 Antares + 51,6 + L5 13 0 — I 37.? +0,^ ^ July 2 0 +- 56.8 + 1.9 » Hydras — I 37._? + 1,0 5 3 Antares +■ 58.7 + 1.8 17 0 — I 30,0 + 1,9 ? 5 0 : + I 0,2 + I.I 19 Regulus — I 26,4 0 21 X Ophiuchi + I 30.9 + 1.7 20 0 — I 25 + 1.7 5 2 2 X Ophiuchi + I 32,8 + 1.9 25 /3 a — I 19.4 d' 23 (3 Lyras + I 34.3 27 OperecpAlt.&Tr. — I 16,2 + ^.3 24 0 + 1 35.1 + 1,8 ■ May 5 (3 a — 59’5 + 2,0 b 27 0 : + I 40,8 + 1.9 12 /3 a — 47.6 + 1,7 J) 29 X Lyra +-I 47.7 13 )3 a — 45.4 + 2,2 V- Aug. 1 0 + I 52,0 4-2.2 16 /3 a : — 42,4 + 1,0 h 3 X Aquila : +i 58.1 Spica Ti^ — 40,9 0 4 X Lyra 59.2 4-1.9 18 Spica — 38,6 + 1,2 « Aquila + i 59 +0,9 *9 Spica — 3 ^’.2 + 2,4 D -J 5 0 +2 0.3 + 2,1 ' 21 0 — 34.0 + 1,8 X Lyra +2 1. 1 + 1.9 Spica — 33.4 + >.4 6 X Lyra +2 3.0 + 1.9 24 0 — 27-,8 H“2,0 5 7 0 +2 3.9 + 1,8 27 Spica inji — 19.8 + 2,3 U 8 X Lyra +2 6,9 + 1.9 Arflurus — 20,9 ? 9 0 + 2 7.2 + L7 iS ITI , — 19,6 b 10 0 : +2 9.0 + I.S 28 Arfturus — 18,3 + 2,6 X Lyra + 2 9.7 + 1.4 ' 29 0 — - 15.4 + 2.5 1 ? 0 : +2 18,9 + 2,0 JJune I Spica tijj — 5.5 + 2.9 ? 16 X Aquila + 2 20,9 -f- 1 ,8 2 Arftuvus — 3.2 +3,0 b 17 0 +2 20,3 ;+o,7 y Bootis — 3,0 X Lyra +2 21.3 + 1.7 5 0 + 5>3 + 2,9 X Aquila + 2 21,8 +0.9 8 0 13.2 + 2,6 5 26 0 +2 26,1 +0,6 Spica VtJl + 14,1 + 2,8 d 27 0 +2 25.5 —0,6 10 0 18,0 + 2,4 X Lyra +2 26,4 4*0.5 18 0 + 34.0 + 2,1 If 29 X Aquila + 2 25.7 + 0,3 Antarcs + 36.1 ? 30 Q + 2 26,1 +0,2 I77J 4 C 2 177* S Aug. 30 ^ yy 3« I Sept. 9 h O a U 10 12 16 « 2» #oa. o * Aquilae 5 Aquilae vy 2 0 vy « vy 2 ^ vy o 14 © Lyras y Aquilx 15 0 Equal Alt. ct Aquilae 0 xi: y vy Fonialhaut 170 per Tranfit per equal Alt. i8jS vy Opr.eq.Alt.&Tr. Aquilas Aquilae 0 vy « Lyrac « Aquilae O y Aquilae « Aquilae 0 xs y vy o o 30 V Pegafi I 0 *9 30 31 25 27 28 r 564 ] Clock “k too fall — »3 Varies from mean time per day —0,7 —0,9 — 0,9 —0,9 — I, I — 0,8 — 0,6 —*►4 -1,1 >,8 >,8 >,8 —0,7 —0,3 1771 ^oa. I r? V i 9 ? D ? *5 16 18 21 25 26 29 30 y * vy 2 o * Lyra; * Aquilae 4 O * Aquilas Fomalhaut 0 pr.equalAlt 10 0 y Aquilae * Aquilae 11 0 y Aquilas » Aquilae 12 O y Aquilae « Aquilae 14 y Aquilae Aquilae y vy G ct Lyras 0 O O O y Aquilae a Aquilae 0 Aquilas ct Aquilas 0 Pegafi Clock too fall — too flow Varies pr.day // 7.4 7.5 « .7 — 0,8 -fo,s >»* .4 '.4 •0,7 ... OiS 7,4— 0.7 6,6— 0,8 6,6 —0,9 6,8 — o,( 6,7 CI.+2 10,; + 2 10,3 -f-2 11,6 4*2 11,6 -f2 11,3 ~1"2 I I 4-2 10,9 + 2 10,9 -|-2 -i-2 -|-2 -i-2 -f-2 -f2 -f2 4-2 -\-2 4,6 + 2 4,3 -4-2 4,6 + 2 3,4 + 2 2,4 -1-2 2,1 + * 59.9 + * 55.3 + * 47.5 ■ft 46,4 -4-1 46,; + i 46.7 -ki 40,4 — -4-1 39.1“" i"* 39.3 + i 38. 6,3 —o.; 6,4* 4-0,1 ’770 I [ S6s ] From thefc Obfervations it appears that the rate of the clock was as follows. 1770 Nov. I 17 38 Dec. a 2 3c , *771 Jan. I - Feb. I 14 March 9 April I *5 5 18 I 18 3 21 May June July Aug. Sept. Oft. 16 30 I 1 1 31 Clock -p too fall — too flow ■f" + + 4- 1 1 ■h 2 + 2 2 + 2 2 + i 3 + it S + 0*5 16.9 2S»7 6.4 22.0 45.6 9.7 15.4 5.5 0,0 49.4 37.5 59.5 38.6 30.1 S^>7 30.9 57.1 20; 24.7 22,4 10.7 3.4 38.1 Grain or Lofs -17.4 - 8,8 -40.7 -15,6 —23,6 — 24,1 — 5.7 + 10,1 + + 10,6 + H.9 +38,0 +20,9 +33.1 +41,6 +22,6 +3^.2 +26,2 +23,8 3.8 — 2,3 —11,7 — 7.3 25.3 ? + Numb. of Days 16 1 1 24 8 H '9 »3 23 6 17 12 22 ‘3 14 17 15 18 *3 13 H »6 16 M- 16 Rate per Day — M —0,8 — 1.7 — 1,9 — 1,7 —1.3 — 0,4 +0,4 + 0,9 +o,6 + 1,0 + 1,7 + 1.6 +2,4 +2.4 + ».5 + 1,8 +2,0 +1,8 +0,5 —0,1 —0.7 — o,^ —1,6 I will here add a few other obfervations I have made fince I fettled in this place, the lat. of which is 51® 24' 33" North, and the long, is i8,"5 in time, Eaft of the Obfervatory at Greenwich. Occultations of flars by the Moon. 1770 App. time 1>Apr. 7 e SI Imm. ii 29 2_j obferved witha 12 inefirefleftor. h 28 { ^ Imm. 9 £i £6: windy and doubtful; fame telefc. 1771 [ 566 ] ^ June 1 8 The Moon’s lower limb juft covers a. {mail ftar. The imm. on the dark part, to which the ftar feemed to adhere above two minutes ; and, though not at all difcoloured, loft a little of its brightnefs, but difappeared at laft inftantane- oufly. Apparent time lo i 49 The Em. on the light part and doubtful 10 to 46 Obferved with a 3I feet achrom, magnifying too times. ^ July 23 2f* ^ I believe Imm. 10 41 36,5 certain 3^ achrom. mag. 150 Em. II 43 27 :: doubtful JJ Sept. 1 8 * VJ <3 VJ Imm. 1mm. IX 56 51 good I 12 2 47 good J 3|- achrom. mag. 150 The emerfions not till after the Moon was fet. \ 1770 $ July 13 h 21 ©Aug. 5 © 28 5f 1771 I) July 22 It Aug. I h 17 S 27 ? 30 ®Sept. 9 J 16 50a. 2 S II h 26 Eclipfcs of Jupiter’s Satellites. App. time 9 6 24 Firft Sat. Em. 9 3 8;: Fourth Sat. Imm. 9 57 43" Em. 9 20 42 Firft Sat. Em. 9 43 3” Eirft Sat. Em. y. near ]) 9 I 41 Second Sat. Em. 112 In. Refleaor mag. 55 . Ditto Ditto Ditto Ditto App, time 8 46 20:: 9 8 5:; 10 30 54:: 8 51 9 9 32 3 12 18 *5: 1 1 8 3 20 II II 9 6 6 35 56 3 16 14 25 4 16 Second Sat. Em. cloudy .3I Achrom. mag. 100 Third Sat. Em. cloudy 3I Achrom. mag. 100 Firft Sat. Em. cloudy 3^ Achrom. mag. 100 Firft Sat. Em. 12 Inch Reft. mag. 35 Fourth Sat. Imm. hazy 3J Achrom. mag. 100 Second Sat. Em. Ditto Firft Sat. Em. Ditto Firft Sat. Em. Tf. but 30 30' high Ditto'' Firft Sat. Em. Ditto Firft Sat. Em. Ditto Third Sat. 1mm. ' Ditto Second Sat. Em. Ditto Chiflehurft, Nov. 2, *77*v Francis Wollafton. LII. [ 567 J LII. An Account of a pure native cryfalifed Natrony or fojfil alkaline Salt, which is ’ fou7id in the Country of Tripoli in Barbary : By Donald Monro, M, D. Phyfician to the Army^ and to St. George’s Mofpitaly Fellow of the Royal College of PhyfcianSy and of the Royal Society, Read Dec. 19, X T is Well know.p that the nitre, or na- 1771* of the antients, which they ufed for making of glafs {a), and in their baths (^), and for other purpofes, was not the fait which now goes by tha name of nitre, or faltpetre ; but a fait of an al- kaline nature, which, at prefent, is commonly called the natron of the antients, or the foffil alkali. (a) See an account of the making of glafs with nitre and fand in C. Plinii Secundi Hift. natural. Tom. Ill, lib. xxxvi. cap. 26, — and an account of its medicinal virtues, ibid. lib. xxxi.cap. 10. — And Tacitus, in mentioning the river Belus in India, fays, “ Circa cujus os collecSlae arenae, admixto nitro, in vitrum exco- “ quuntur.” Lib. v. Hift. fe£l. y. (b) Nitre is mentioned as ufed in baths, in feveral parts of the Holy Scripture, particularly by the prophet Jeremiah. See chap. ii. ver. 22. The nitre, or natron, is likewife taken no- tice of by many other of the ancient authors. The 3 [ 5^8 ] The knowlege of it was entirely loft for feveral centuries, but was revived in the laft, by the Ho- nourable R. Boyle, formerly a diftinguifhed member of this Society, who, in his Short Memoirs for the natural experimental Hiftory of Mineral Waters (c), after telling us that it is of an alkaline nature, fays, “ that he had fome of it brought from iEgypt, and “ a neighbouring country, whofe name he did not " remember.” However, it was afterwards negleded, and its properties as a diftindl fpecies of alkaline fait not known for many years j for although chemifts^ ob- ferved,. that a Glauber fait -and cubic nitre were . formed by diflodging the marine acid from fea fait, by means of the vitriolic and nitrous acids ; and from thence fufpedfed that there was fomething particular in the bafis of this fait i yet its true nature was not difeovered till Monf. du Hamel du Monceau gave an account, in the Memoirs of the French Royal Aca- demy of Sciences for the year 1736, of his having obtained it pure, in two different ways, ift, By diflodging the marine acid by means of the vitriolic, and then feparating it by the addition of a phlogifton, and forming a hepar fulphuris, from which he pre- cipitated the furphur by means of the vegetable acid, and then feparated this acid from the bafls of fea fait by the force of fire., adly. By diflodging the marine acid from the fea fait by the addition of the nitrous, and fo forming a cubic nitre, from which he dif- lodged the acid, by deflagrating it with charcoal j (c) See bis Notej on Title a6, page 86, of the edition printed at London and C 5^9 ] and then he purifyed the remainder by diHoIvIna It jn water, and by filtrating and evaporating the liquor and cryfialhfing the fait. After he had obtained the bafis of Tea fait quite pi.ie, e tiled a number of experiments with it, and vvnh the natron of Egypt ; and found that they ’were entirely of the fame nature, and that they were of a dilbnd. fpecies of alkaline fait, different in their pro- peities from the potafii, and other alkaline falts, commonly obtained by burning wood, and mofi; othei- vegetable fubflances ; and that they formed different neutral falts with the three mineral acids, and with the vegetable. Ijiis lalt U likewife got from burning the Barilla, the^Kah, and other marine plants ; and all that is at preient ulcd in tliis country, by our manufadurers, has been piepared in this manner. Hitherto it has not been found native in the we ern parts of Europe, except in mineral waters, und in the neighbourhood of volcanoes, or at places where they are alledged to have exifted formerly; but It has Jong been found in Egypt, and near to Smyrna, and in other eaftern countries, commonly mixed with earth, in a floury or concrete form ; in lome places pretty pure, in others more mixed (d). In the year 1764, a refpedable member of this Society Dr. \Vm. Heberden, gave an account of a fait of this kind, which was found on the Picof Tenerif where there is^ a volcano, and added feveral very ingenious experiments of the Honourable Henry Ca- (^) SeeHofFman. Phyf. Cher iVl^tcr. iV^ cd IC3 j p3.rt C3p« P'^S’ 55* 2nd other authors. VoL. LXI. 4D lib. ii. obr. I. — GcofFroy, Shavv’s Travels, Excerp-t, vendifli. [ 570 ] vendiili, to prove that the vegetable alkali has a greater affinity with acids than the foffil or natron. It is probable, that this fait got at the Pic of Te- nerif is the bafis of fea fait, whofe acid has firfl been dillodged, either by the force of fire, or by the acid of decompofed fulphur, which has afterwards been attracied by a freffi phlogiflon, and both feparated by the force of fire ; though it is not at all impoffible but that there may be magazines of this foffil fait lodged native in the bowels of this mountain. Hitherto we have no account, that I know of, of its being found any-where native in a cryftalline , form, and in large quantity j and therefore I imagined that the following hiflory would be a8:reeable to the Societv. In the year 1765, Mrs White, widow to the late Conful V/hite of Tripoli, on her return to this country, ffiewed me a fubfiance which, ffie laid, had a very particular property of bubbling up, or fermenting, when mixed with lemon juice. Imme- diately, on feeing and faffing it, I fufpeaed it to be a pure native natron, or foffil alkali j and was con- firmed in this opinion, by mixing it with different acids ; and I have fince had a few pounds of it fent home tome, and forne gentlemen in the city have imported fome hundred weight of it. On enquiring into the hiflory of this fait, I was told that it was brought yearly to Tripoli, in large quan- tities, from the mountains in the inland part of the country, and that it went by the name of Trona j that the in’nabitants fometimes took an ounce, or more of it, by way of phyfic, and that it commonly operated both as an emetic and purgative medicine ; that [ 571 3 that the principal ufe they made of it, was to mix it with their fnuff, to give it, what they think, an agreeable fharpnefs ; and that it was yearly fent to Conftantinople, in large quantity, to be employed for the fame purpofe. But, fo far as I can learn, the Turks are entirely ignorant of its nature, and employ it for no other uCes. It is well known that this fait does not run per deliqiiium^ but falls down into a white floury pow- der, when expofcd to the air ; and that it makes a harder and firmer foap than the common vegetable alkali, and is alledged to make a purer and a finer glafs. This fait, which I have the honour now to prefent to the Society, is extremely pure, difibives entirely in water, leaving only afmall quantity of a reddifh. earth behind. I tried what quantity of acid an ounce of this fait would faturate, and found that it faturated as much as near two ounces and a half of the com- mon grofs barilla, in the form it is commonly im- ported. I had it likewife tried by callico printers, and it was found to anfwer all their purpofes, and nearly in the fame proportion with refpedl to the grofs barilla, as above-mentioned, and I was told that it was thought to anfwer better than any other fait they had ever tried. Mofi: of the neutral falts made with this alkali and acids (except the cubic nitre) keep long without running per deliquium^ even thofe made with vege- table acids } for mofi: of the neutral falts made with vegetable acids, and with fome of the fait now be- fore you, which I had the honour to prefent to this Society in the year 1767, ftill remain entire, though 4 D 3 kept [ ] kept only in a clofe drawer, in the fame tea-cups and fnial! balbn?, without any cover, as they were (hewn to the Society. I have not hitherto been able to learn in what par- ticular place of the inland part of Tripoli in Barbary this fait is tbund, nor how it is difpofed of in the bowels of the earth : but it fhouid fecni to run in thin veins, of about half an inch, ora little more thick, in a bed or i'ea fait ; for all of it that has Ihthei to been imported into this country is covered with fea fait on each fide. The one fide is always fmoother than the other, and' appears as if it had been the bafis on which it refted; the other, w’hich (hould feem to be the upper fide, is rougher, by the fhooting, of the crydals. I'he pieces, of the thin veins appear almoft as if the fait had been difToIvcd in water, and afterwards boiled up into thirr cryffallifed cakes, orrly that the cryflals are much fmall'er, and’difpofed in a manner that cannot eafily be imitated by art ; for when this fait is dillblvcd, and' evaporated to a pellicle, and left to cryftallife, it ahvays fhoots into cryflals refembling thofe of Glauber fait. Brown paper dipt into a folution of this fait, after. It is dry burns almoft as if it had been dipped in a folution of true nitre, as Dr. Heberden had ob- ferved of the fait got at the Pic of Tenerif; which iTews, that it contains more of an inflammable prin- ciple than the common vegetable alkali. There are great mines of fea fait in the country of Tripoli, the fait of which ihould feem to contain a- large proportion of this natron ; for, I am told, that alf the meat faltfcd with it acquired a red colour. This native alkaline fait having never beenTub- je^kd to the force of fire, is perfectly mild, and con- I " tains- C 573 1 tains no cauftic parts, as the barilla, and the common; potafhes prepared by burning wood and plants, or the falts thrown out by volcanoes commonly do j and therefore, it will be found to be much more ufeful for bleaching and waflaing linens, and for cleaning and fcowering cotton or woollen ftuffs, and for many other purpofes,^ than any other alkaline fait hitherto known, at the fame time that it will anfwer every pur- pofe for which the other kinds of the foffll alkali are employed When, this fait is to be ufed for making-rocheile or other neutral falts, or for wafhing or bleach- ing linen, it ought hrfl to be diflblved in pure water,, and the folution be allowed toftand for. fome time, till the reddilh or brown earth has all precipitated to the bottom, and then the pure liquor ought to be poured off, and what remains at the bottom be thrown into a filter ; for, if this precaution is not taken, the reddifh earth is in danger of giving a flight brown or reddifli colour to the neutral falts,, or to affedl the colour of the linen.. LI1.L [ 574 2 LIII. T^he ^iuantity of the Sun s Parallax, as deduced frotn the Obfervations of the T^ranft of Venus, on June 3, 1769 : By Thomas Hornfby, M. A. Savilian Profef hr of Af rono77iy m the U7uverfiy of Oxford, and F, R. S. Read Dec. 19, ^ | HRE uncertainty as to the quantity 1771- Jl^ Sun’s parallax, deduced from the oblervations of the tranfit of Venus in 1761 (whether it arofe from the unfavourable pofi- tion of the planet, fo that a fufficient difference of time in the total duration of the tranfit was not, and indeed could not be, obtained from obfervations made at different places; or fiom the difagreement of the obfervations of different aflronomers, which were to ferve as terms of comparifon) feems now to be entirely removed : and from the obfervations made in diftant parts by the aftronomers of different na- tions, and efperially from thole made under the pa- tronage and diredlion of this Society, the learned of the prefent time may congratulate themfelves on obtaining as accurate a determination of the Sun’s diftance, as perhaps the nature of the fubject will admit. C 57 5 ] The two following Tables gi fervations themfelves, but alio ferences of time from which t duced. Table ' Places. Latitude. Obfervers names. IW ardhus. .Cola. iiudfon’s Bay. California. KC. George’s Ifland. 0 / // 70 22 36 N. 68 52 56 N. 58 47 32 N. 23 3 37 N- 17 28 55 S. F. Hell. M. Rumonfky. J M. Wales. 1 M. Dymond. Abbe Chappe. rCapt. Cook. J Mr. Green. LDr. Solander. ;e not only the ob- the computed dif- [le parallax was de- Int. Cont. at Ingrefs Int. Cont, at Egrefs Obf. Dur. i H. ' " i. ' " H. ' " 9 34 5 27 24,6 5 33 H f 9 42 4 ‘5 3S 23 5 53 19 I 15 21,3 7 0 45 5 5 45 24.2 1 I 15 25,3 7 0 4^’5 5 45 23,2! 0 17 27,9 5 54 5o>3 5 37 32-4 21 44 15.5 3 14 13 5 '29 57 ’5 1 21 43 55,5 3 H 3 5 30 7’5 1 21 44 2,5 J Table II. DifF-rence of Obferved durations. comp, durat H. f ff / // rKing George’s Ifland. 5 29 52,5 3H36 Wardhus. 5 53 14 23 s Kola. 5 53 19 23 41,09 Hudfon’s Bay. 5 45 23’7 15 51,90 ■ California. 5 37 324 7 42,43 r California. 5 37 32:4 48-93 Wardhus. 5 53' 14 15 Kola. 5 53 19 16 4,41 . Hudfcn’s Bay. 5 45 23>7 8 9’47 r Hudfon’s Bay. ' 5 45 23 7 39^46 J Wardhus. 5 53 14 7 1 Kola. 5 53 19 7 49H9 Difference of obferv. durat. Sun’s parallax. / ff ft 23 21,5 8,639 23 26,5 8,61 1 15 31^2 8,511 7 29,9 8,464 15 516 8,724 15 56 8,629 8 1,3 8^555 7 50,3 8,905 7 55’3 8,813 8,650 The Mean of all C 57 '6 ■] ihe iecond column of the fecond Tabic contains the obierved duration, or interval of time, between the two internal contaas ; the third contains the dif- ference of each duration, deduced by computation upon afupporuion that the Siin’s parallax wasr^8", on the day of the tranfit; the fourth, the differenc ot that duration, as determined by adual obferva- tion : In the laft column is given the horizontal par-^ Silax on the day of ihe tranfit, refulting from a companfon of the third and fourth column^ Iri the above comparifon, I have, u fed Captain Cook s o^ervation at the ingrefs, and a mean of his and Mr. Green’s obfervations at the egrefs ; becaufe . upon a comparifon of the oblerved times at the in- grds and egrefs, made at the feveral places, when reduced to the center of the Earth, upon a fuppo- htion that the Sun’s parallax on the day of the tranfit was 8 ,65, the difference of meridians, as deduced trorn Captain Cook’s obfervation at the ingrefs, a<^rees much better with the fame differences deduced from a mean of tne two obfervations at the egrefs, than diofe denved either from the obfervation of Mr. Oreen, Dr. Solander, or even from a mean of all the three obfervations, as appears from the following ■comparifon. ° VVardhus. a ''-I I I \ [ 577 ] Obferved times. EfFedt of parallax. Reduced times. Obferved times. Effect of parallax. Reduced times. Wardhus. | California.' ingrefs. H. ' " 9 34 ^0,6 -}- 6 35,6 Egiefs. l-l. ' " 15 27 24,6 — 4 35^9 Ingrels. H. ' " 0 17 27,9 4- 24,9 Egrels. H. ' " 5 54 5°>3 + 4 52 9 40 46,2 15 22 48,7 0 17 52»8 1 5 59 42,3 Kola. Hudfon’s Bay. Ingrefs. 9 42 4 + 6 37,4 Egrels. 15 35 23 — 4 45’i Ingrefs. I 15 23,3 + 4 i5’9 Egrefs. 7 0 47 + 0 38,7 9 48 4-I14 15 30 37>9 1 I ig 39,2 7 I 25,7 King George’s Ifland. Obferved times. Effedl of parallax. Capt. Cook. 21 44 15,5 5 40,4 Ing Mean. 21 44 4,5 5 40,4 refs. Dr. Solander. 21 44 2,5 5 40,4 Mr. Green. 21 43 55,5 5 40,4 Egrefs. Mean, 3 H 8 + 6 23,8 Reduced times. 21 38 35>i 21 38 24,1 21 38 22,1 21 38 15,1 3 20 31,8 Ditto at Wardhus. 9.40 46,2 9 40 46,2 9 40 46,2 9 40 46,2 15 22 48,7 Difference of meridians. 12 2 II, I 12 2 22,1 12 2 24,1 12 2 31,1 12 2 16,9 Ingrefs. Egrels. Capt. Cook. Mean. Dr. Solander. Mr. Green. Mean. Reduced times at K. Gr Ifl. 21 38 35,121 38 24,1 21 38 22,1 21 38 15,1 3 20 31,8 Ditto at California. 0 17 52,8 0 17 52,8 0 17 52,8 0 17 52,8 5 59 42,3 Difference of meridians. 2 39 0’7 2 39 28,7 2 39 30,7 2 39 37,7 2 39 10,5 Ingrefs. Egrefs. Capt. Cook. Mean. Dr. Solander. Mr. Green. Mean. Reduced times at K. G. Ifl. 21 38 35,1 21 38 24,1 21 38 22,1 22 38 15,1 3 20 31,8 Ditto at Kola, 9 48 41,4 9 48 4*, 4 9 48 41,4 9 48 41,4 15 30 37’9 Difference of meridians. 12 10 6,3 12 10 17,3 12 10 IQ,'^ 10 10 26,3 12 10 6,t Ingrels. Egrels, Capt. Cook. Mean. Dr. Sola'nder. Mr. Green. Mean. Reduced times at K. G. Ifl. 21 38 35,1 21 38 24,1 21 38 22,1 zi 38 15,1 3 20 31,8 Ditto at Hudfon’s Bay. I 19 39,2 I 19 32,9 I 19 39,2 I 19 39,2 7 I 25,7 Difference of meridians. 3 4» 4,1 3 41 15’’ 3 41 3 41 24,1 3 40 53>? VoL. LXI. 4E The [ 5?8 ] The near agreement of the difference of me- ridians between King George’s Ifland and the four other places, as deduced from Captain Cook’s obferv- ation at the ingrefs, and from a mean of his and Mr. Green’s obfervations at the egrefs, fufEciently, I think, fliew that the obferved duration at King George’s Ifland is at leaft 5*^ 29' 5^'' 3 5 • And, from a comparifon made in the fame manner with the ob- fervations at Hudfon’s Bay, it might be fliewn that the time of the egrels is uncertain to a few feconds, owing, perhaps, to the hazinefs of the air peculiar to that climate, even at the altitude of 10 or 12 de- grees. By the end of the Sun’s eclipfe on the morning after the tranfit, the longitude of Wardhus from Paris, according to Father Hell, is 55' 6" E. of Paris, or 2*^ 4' 22 ' E. of Greenwich : and, accord- ing to the obfervation of Mr. Rumoufky, Kola is 2^ 2' 55'' E. of Paris, or 2^ 12' 1 P' E, of Green- wich. The point therefore at ’King George’s Ifland, where the tranfit was obferved, is 9*^ 57' 53'^6 149° 28' 24'' W. of Greenwich; Vill St. Jofeph in California is 7^ 18' 421" — 109° 40' 37'' W. of Greenwich ; and Prince of Wales’s Fort in Hudfon’s Bay 6*^ 16' 49 1'' 94'' 12' 22'' W. of Green- wich. From the near agreement of the feveral refults before found, which are independent of the know- ledge of the longitude of each place, and affeded only by the neceffary error in obferving, the ac- curacy of the obfervation made at the Cape of Good Plope in 1761, by Meffieurs Mafon and Dixon, is abundantly confirmed ; -by comparing which with the [ 579 ] the befl obfervatlons made in the places whofe longi- tudes were very nearly afcertained,the Sun's parallax on the 5th of June was found ~ 8^ ,692 And Mr. Pingre, notwithflanding the feveral arguments very fpecioufly produced in favour of his own obfervation at the Ifland of Rodrigues, as reprefented in his learned Mernoire on the Sun’s Parallax, will pro- bably be" of opinion, that an error of one minute was committed in writing down the time of his ob- fervation, as was conjedured by many perfons, as well as myfelf j a miftake to which the mod: expe- rienced obferver is fometimes liable, when at the time of obfervation the minute is nearly compleated. The parallax on the 3d of June being 8^,65, the mean parallax will be found to be =: B'',78 j and if the femidiameter of the Earth be fuppofed = 3985 Englidi miles, the mean didance of the Earth from the Sun will be 93,726,900 Englifli miles. And, as the relative didances of the planets are well known, their abfolute didances, and con- fequently the dimenfions of the Solar Sydem, will be as follows. Relative didance. Abfolute didance. Mercury, 387,10 36,281,700 Venus, 725,33 ^7>795>5oo Earth, 1000,00 93,726,900 Mars, 1523.69 142,818,000 Jupiter, 5200,98 487,472,000 Saturn, 9540,07 894,162,000 Oxford, Dec. 17, 1771, * See Phil. Xranf. Vol. LIII. for the Year 1763. p. 491. 4 E 2 LIV. ^ [ sSo ] % LIV. A Letter from Mr, R. E. Rafpe^ f, R, S, to M. Maty, M, D, Sec, R. S. containing a Jhort Account of fome Bafalt Bilk in Haflia Dear SiVy Gaficl, November 29, 1769. Read Feb. 8, 1770. I HAVE lately difeovered in tha neighbourhood of this city, feveral hills, compoled of bafalt rocks, formed in polyedrous and mofUy pentagonal columns.. As this fort of ftone has hitherto met with few obfervers, and. affords many curious lingularities, 1 defire you to lay before the Royal Society, the following account of my re- fearches.. Our bafalt rocks differ from thofe of the Giant’s Caufeway in Ireland, by their want of articulation ; and from thofe anciently found at .Syena in Egypt, and deferibed with tolerable exadnefs by Strabo,, Lib. xvii. by their being lefs thick, and not ex- * The printifig of this paper was poftponed, cit account of the delays and difficulties which attended the fending of the plates, which the author dcfired miglit be executed ii> the btfl manner, under his eyes. ceeding C 3 ceedmg eTght or ten inches in breadth, on unequal lengths from five to thirty feet, , The colour, hardnefs, weight, and fnbfiance of thefe ftones fufiiciently fhew them not to belong to the genus of the marbles, amongft which Mr. Da- cofta ranked them in imitation of the ancients. Their fubfiance is vitreous, analogous to that of the horny ftones ; they refift aqua fortis, and the chizzel: and only yield to a violent fire and the engravers wheel. Being worked in this manner they acquire the polilh of the ancient bafaltes, named by the Italians Marmo paragone, I have not yet completed a chemical analyfis of thefe ftones, which they richly deferve, chiefly as they contain fmall nefts of cryftals of tin ore, yellow, green, and black. Thefe probably greatly contribute towards giving to our ftones their fingular and conftant form. They feem to have ac- quired that form, in a different manner from that which influenced the ftrata and veins of other mountains. Laftly, no marks or impreflions of any organical bodies are found either in the out or inlide- of thefe ftones. From all thefe confideratlons I was induced fo^ attribute their origin, to a watery cryftallifation,. which might have taken place, either at the firft fettling of the chaos, or at the time of a diflblution; of a great part of our globe. I had faid the fame thing in regard to the Giant’s Caufeway,.in my ac-- count of the formation of new iflands. But 1 now begin to entertain fome doubts about that opinion,, for.' thefe two reafons. r. In the explanation of the plates of the French! Encyciopedie,. 1 find that an. obfervation made by- [ 582 ] Mr. Defmareft, has induced him to attribute the ori- gin of thefe ftony columns to the matter of volcanoes refrigerated from fuhon, having found the Auvergne bafaltes placed on beds of lavas and Icorias, jull dole to the opening of an extinguiflied volcanoe. 2. I difeovered the fame appearance at Habich- fwald about Weiflenftein near Caflel. The top of the mountain, on which the famous cafeades of the Landgrave Charles are built, and which the Englidi troops made the place -of their encampment after the battle of Willemflahl, is hardly compofed of any thing but enormous pieces of lavas and Icorias. Somewhat lower, and near the middle of the moun- tain, are found the bafaltes. Many of thefe are formed in polyedrous pillars ; but feme, which are the neareft to the aforefaid lava, only con fid; of fliapelefs roundifh maffes. On the other fide of the mountain, and at a fmall diflance from the lavas and fcorije, is found one of the richeft coal mines I ever faw, in a bed of the thicknefs of eighteen feet. The Duke of Rochefoucault, at Paris, an eminent lover and encourager of natural hiftory, has likewife afiured me, that at Bolfena in Italy, the bafaltes are found near the lavas of an ancient volcanoe, and that the whole ifland of Sicily, chiefly on the fide of mount Etna, abounds with the fame. Hence, it may be allowable to attribute with Mr. Defmarcfl: the origin of the bafaltes to volcanoes. This opinion is further fupported from many cir- cumftances ; wiz;. the vitreous, and hitherto pro- blematical fubflance of thefe flones ; the want of marine bodies, and laftly, the well-known experiment of fome melted metals, which, when hardened, appear 6 in >1 Mf V,. ; ■ • . #' / :• r therefore the repulflon of that part of the cone be- tween A and Bb, on A, is infinitely greater than the repulflon of all that beyond it. L E M M A II. By the fame method of reafoning it appears,; that if n is equal to 3, the repulflon of the matter be- tween B b and D i on a particle at A, is proportional A D to the logarithm of ^ ; confequently, the repulflon of that part is infinitely fmall in refpedl of that be- tween A and B b^ and alfo infinitely fmall in refped: of that beyond D d. 4F2 Lemma [■ 588 ] Lemma III. In like manner, if n is lefs than 3, the repulfion of the part between A and on A is proportional to AB3-»: confequently the repulfion of the matter between A and on A, is infinitely fmall in refpedt of that beyond it. Corollary.. It Is ealy to fee from thefe three lemmata, that, if the eledtric attradlion and repulfion had been fup- pofed to be inverfely, as-fome higher power of the- diftance than the cube; a particle could not have- • been fenfibly affeaed by the repulfion of any fluid, except what was placed clofe to it. If the repulfion was inverfely, as the cube of' the diflance, a particle' could not be fenfibly aflcdfed by the repulfion of any finite quantity of fluid, except what was clofe to it.. But as the repulfion is fuppofed to be inverfely as lome power of the diftance lefs than the cube, a par- ticle may be fenfibly afieaed by the repulfion of a- finite quantity of fluid, placed at any, finite diflance from it. D E F I N I T ro N; If the elediric fluid in any body, is by any means confined in fuch manner that it cannot move from one part of the body to the other, 1. call.it immove-. able: if it is able to move readily from one part to, iinother,, I call, it moveable. . I V. R [ s89 ]' PROPOSI.TION I. \ A body overcharged with elefl.rlc fluid attra£ls or repels a particle of matter or fluid, and is at- traded or repelled by it, with exadly the fame- force as it would, if the matter in it, together with fo much of the fluid as is fufficient to fatu- rate it, was taken away, or as if the body con- fifled only of the redundant fluid in it. In like manner an undercharged body attrads or repe]&> with the fame force, as if it confifted only of the redundant matter ; the ekdric fluid, together with fo much of the matter as is fufficient to faturate it, being taken away.. This is evident from the definition offaturation.. P R O P. II; Two over or undercharged bodies attrad or repd! each other with jufl; the fame force that they \yoLild, if each body • confifted' only of the re- dundant fluid, in it, if overcharged, or of the. redundant matter in it, if undercharged. For, let the two bodies be. called A and B ; by the laft propofltion the redundant fubftance in B impels each particle of fluid and matter in A', and' confequently impels the whole body A, with the. fame force that the whole body B impels it: for the' lame reafon the redundant fubftance in A' impels the- redundant liibftaixce in B, with the (ame. force that thee [ 59° ] tlie whole body A impels it. It is fliewn therefore, that the whole body B impels the whole body A, with the fame force that the redundant ‘fubftance in B impels, the whole body A, or with which the whole body A impels the redundant fubftance in B ; and that the whole body A impels the redundant fubftance in B, with the fame force that the redundant fub- ftance in A impels the redundant fubftance in B ; therefore the whole body B impels the whole body A, with the lame force with which the redundant llibftanco in A impels the redundant fubftance in B, or with which the redundant fubftance in B impels the redundant fubftance in A. Corollary. Let the matter in all the reft of fpace, except in two given bodies, be laturated with immoveable fluid j and let the fluid in thofe two bodies be alfo immove- able, Then, it one of the bodies is faturated, and the other either over or undercharged, they will not at all. attract- or repel each other. . If the bodies are both overcharged, they will repel each other. If they are both undercharged, they will alfo repel each other. If one is overcharged and the other undercharged, they will attract each other. N. B. In this corollary, when I call a body over-, charged, I would be underftood to mean, that it is overcharged in all parts, or at leaft no where under- '[ 591 1 undercharged : in like manner, when I call it undercharged, 1 mean that it is undercharged in all parts, or at lead: no where overcharged. PROP. III. If all the bodies in the univerfe are faturated with eledric fluid, it is plain that no part of the fluid can have any tendency to move. PROP. IV. “ \ If the quantity of eledtric fluid in the univerfe is exactly fufficient to faturate the matter therein, but unequally difperfed, fo that fome bodies are overcharged and others undercharged; then, if the eledric fluid is not confined, it will immedi- ately move till all tlie bodies in the univerfe are faturated. For, fuppofing that any body is overcharged, and the bodies near it are not, a particle at the furface of that body will be repelled from it by the redundant fluid within ; confequently fome fluid will run out . of that body; but if the body is undercharged, a particle at its furface will be attracted towards the body by the redundant matter within, fo that fome fluid will run into the body. N. B. In Prob. IV. Cafe III. there will be fliewn an exception to this propolition ; there may perhaps be fome other exceptions to it : but I 3 think [ 59* 3 ^thlnk there can be no doubt, but what ^'iVpro-' .pofition muft hold good in general. Lemma IV, Let B D E, bde, and ^ e (fig. 2.) be concentric fpherical turfaces, whofe center is C : if the fpace * is -filled with uniform matter, whofe particles repel with a force -inverfely, as the fquarc of tlie , difiiance, a particle placed any where within the fpace D E and by the fpace C ^ or C /3, I mean the fphe.^es iw/r or (S'f. [ 593 ■] fphere ; provided the denfity of the matter therein is every where the fame at the fame diftance from the center. This is eafily deduced from prop. 71. of the fame book, and has been demonftrated by other authors. PROP. V. Problem i. Let the fphere BDE be filled with uniform folid matter, overcharged with electric fluid : let tlie fluid therein be moveable, but unable to efcape from it : let the fluid in the reft of infinite fpace be moveable, and fufficient to faturate the matter therein j and let the matter in the whole of infinite fpace, or at leaft in the fpace B/3, whofe dimenfions will be given below, be uniform and folid ; and let the law of the eledric attraction and repulfion be inverfely as the fquare of the diftance : it is re- quired to determine in what manner the. fluid will be difpofed both within and without the globe. Take the fpace fuch, that the interftices be- tween the particles of matter therein fhall be j^ufl: fufficient to hold a quantity of eleCtric fluid, whofe particles are prefled clgfe together, fo as to touch each other, equal to the whole redundant fluid in the globe, befides the quantity requifite to faturate the matter in B ^ ; and take the fpace B (3 fuch, that the matter therein fhall be jufl: able to faturate the re- dundant fluid in the globe : then, in all parts of the fpace B the fluid will be prefled clofe together, fo ;VoL. LXI. 4 ^ ' that ... [ 59+ ,] , . that its particles fliall touch each other ; the fpace B/S will be intirely deprived of fluid; and in the fpace Cby and all the reft of infinite fpace, the mat- ter will be exactly faturated. For, if the fluid is difpofed in the above-mentioned manner, a particle of fluid placed anywhere within the fpace Qb will not be impelled in any direower of the diflance between the fquare and the cube, and let the globe be overcharged. It is certain that the denfity of the fluid will be everywhere the fame, at the fame diflance from the center. Therefore, firfl, There can be no fpace as C within which the matter will be everywhere fa- turated j for a particle at b is impelled towards the center, by the redundant fluid in and will therefore move towards the center, unlefs Qh is fuf- ficiently overcharged to prevent it. Secondly, The fluid clofe to the furface of the fphere will be prefl'ed clofe together ; for otherwife a particle lb near to it, that the quantity of fluid between it and the furface Ihould be very fmall, would move towards it ; as the repulflon of the flnall quantity of fluid between * It [ 59? ] it and the furface, would be unable to babincc the repuHion of the fluid on the other fide. Whenec, x think, we may conclude, that the denfity ot tiie fluid will increafe gradually from the center to the furface, where the particles will be preflTed clofe to- gether : whether the matter exadtly at the center will be overcharged, or only faturated, I cannot tell. Corollary. For the fame reafon, if the globe be under- charged, I think we may conclude, that the denfity of the fluid will diminifh gradually from the center to the furface, where the matter will be' entirely de- prived of fluid. Case 2. Let the repulfion be inverfely as fome power of the diftance lefs than the fquare 3 and let the globe be overcharged. There will be a fpace B b, in which the particles of the fluid will be everywhere preifed clofe toge- ther ; and the quantity of redundant fluid in that fpace will be greater than the quantity of redundant fluid in the whole globe B D E ; fo that the fpace C b, taken all together, will be undercharged : but I cannot tell in what manner the fluid will be difpofed in that fpace. For it is certain, that the denfity of the fluid will be everywhere the fame, at the fame diftance from the center. Therefore, let b be any point where the fluid is not preifed clofe together, then will a particle at b be impelled towards the furface, by the redundant 3 [ 598 1 redandant fluid in the fpace therefore, unlefs the fpace Qb is undercharged, the particle will move towards the furface. Corollary. For the fame realbn, if the globe is undercharged, there will be a Ipace Bby in which the matter will be intirely deprived of fluid, the quantity of matter therein being more than the whole redundant matter in the globe; and, confequently, the fpace C^, taken all together, will be overcharged. Lemma VI. Let the whole fpace comprehended between two parallel planes, infinitely extended each way, be filled with uniform matter, the repulfion of whofe particles is inverfely as tne fquare of the diftance ; the plate of matter formed thereby will repel a par* ticie of matter with exadtly the lame force, at what- - ever diftance from it, it be placed. For, fuppofe that there are two fuch plates, of equal thicknefs, placed parallel to each other, let ^ 3‘) point not placed in or between the two plates : let B C D reprefent any part of the -neareft plate : draw the lines AB, AC, and AD, cutting the^ furtheft plate in b, €, and for it is plain, that if they cut one plate, they muft, if pro- duced, cut the other : the triangle BCD is to the tiiangle bcj^ as AB^ toA^*; therefore a particle of matter at A will be repelled with the fame force by the matter in the triangle BCD, as by that in bed. Whence it appears, that a particle at A will be ' 1 [ 599 1 be repelled with as much force by the neareft plate, as by the more diflant ; and confequently, will be impelled with the fame force by either plate, at •whatever dillance from it it be placed. Corollary. If the repiihion of the particles is inverfely as fome higher power of the dillance than the fquare, the plate will repel a particle with more force, if its diflance be fmall than if It be greats and if the re- pulfion is inverfely as fome lower power than the fquare, it will repel a particle with lefs force, if its diftance be fmall than if it be great. PROP. VII. Prob. 3. In fig. 4. let the parallel lines Ka\ &c. reprefent parallel planes infinitely, ex- tended each way let the fpaces ^ A D and E H be filled with uniform folid matter : let tlie eledlric fluid in each of thofe fpaces be moveable and unable to efcape : and let all the reft of the matter in the univerfe be faturated with immoveable fluid j and let the eledric at- traction and repulfion be inverfely as the fquare of the diftance. It is required to determine in. what manner the fluid will be difpofed in the fpaces AD and EH, according as one or both, of them are over or undercharged. '■* By the fpace AD or AB, He. I mean the fpace compre- hended between the planes A« and D d, or between A a and Let [ 6oo ] Let A D be that fpace which contains the greateft quantity of redundant fluid, if both fpaces are overcharged, or which contains the lead redun- dant matter, if both are undercharged j or, if one is overcharged, and the other undercharged, let A D be the overcharged one. Then, firft, There will be two fpaces, A B and G H, which will either be intirely deprived of fluid, or in which the particles will be prefTed clofe together ; namely, if the whole quantity of fluid in A D and E H together, is lefs than fufflcient to fatqrate the matter therein, they will be intirely deprived of fluid ; the quantity of redundant matter in each being half the whole re- dundant matter in AD and EH together: but if the fluid in A D and E H together is more than fufflcient to faturate the matter, the fluid in A B and GH will be prefled clofe together; the quantity of redundant fluid, in each being half the whole re- dundant fluid in -both fpaces. 2dly, In the fpace C D the fluid wjll be prefled dole together ; the quantity of fluid therein being fuch, as to leave jufl: enough fluid in BC to faturate the matter therein, 3dly, The fpace EF will be intirely deprived of fluid ; the quantity of matter therein being fuch, that the fluid in F G flaall be jufl: fufflcient to faturate the matter therein : confequently, the redundant fluid in C D will be jufl fufflcient to faturate the redundant matter in EF ; for as AB and GH together con- tain the whole redundant fluid or matter in both fpaces, the fpaces B D and E G together contain their natural quantity of fluid ; and therefore, as BC and FG each contain their natural quantity of fluid, the fpaces CD and EF together contain their natural [ 6oi ] natural quantity of fluid. And, 4thly, The fpaces Be and FG will be faturated in all parts. For, firfl, If the fluid is difpofed in this manner, no particle of it can have any tendency to move : for a particle placed anyw'here in the fpaces B C and F G, is attradted with jufl; as much force by E F, as it is repelled by C D i and it is repelled or attracted with juft as much force by A B, as it is in a con- trary diiedtion by G td, and, confequently, has no tendency to move. A particle placed anywhere in the fpace C D, or in the fpaces A B and G H, if they are overcharged, is indeed repelled with more force towards the planes D d, A a, and FI h, than it is in the contrary diredion ; but as the fluid in thofe fpaces is already as much comprefled as poflible, the particle will have no tendency to move. 2dly, It feems impoflible that the fluid fliould be at reft, if it is difpofed in any other manner : but as this part of the demonftration is exadly fimilar to the latter part of that of Problem the flrft, I fhali omit it. C 0 R O L. I. If the two fpaces A D and E H are both over- charged, the redundant fluid in CD is half the dif- ference of the redundant fluid in thofe fpaces : for half the difference of the redundant fluid in thofe fpaces, added to the quantity in A B, which is half the fum, is equal to the whole quantity in A D. For a like reafon, if A D and E FI are both undercharged, the redundant matter in E F is half the difference of the redundant matter in thofe fpaces j and if A D is VoL, LXl* 4 ff over- [ 602 } . overcharged, and E H undercharged, the redundant 6uid in CD exceeds half the redundant fluid in AD,- by a quantity fufficient to faturate half the redundant matter in EH. COROL, IL s It was before faid, that the fluid in the fpaces AB‘ and GH (when there is any fluid in them) is re- pelled againfl: the planes A a and H h ; and, confe- quently, would run out through thofe planes, if there was any opening for it to do fo. The force with which the fluid prelTes againfl: the planes ha and H is that with which the redundant fluid in A B is repelled by that in G H 3 that is, with which half the redundant fluid in both fpaces is repelled by an equal quantity of fluid. Therefore, the preflure againfl: ha and H/6 depends only on the quantity of redundant fluid in both fpaces together, and not at all on the thicknefs or diftance of thofe fpaces, or on- the proportion in which the fluid is divided between the two fpaces. If there is no fluid in A>B and GH, a particle placed on the outfide of the fpaces A D • and EH, contiguous to the planes ha or Hi6, is attra« into D, till the quantity of fluid in that part of the canal which is nearefl to B is fo much diminifhed, and its repulfion on the reft of the fluid in the canal is fo much diminifhed alfo as to compenfate the repulfion of B : but as the leg is longer than the other, the repulfion of B on the fluid in it will be greater confequently fome fluid will run out of A into D, on the fame principle that water is drawn out of a veflel through a fyphon : but if the repulfion of B on the fluid in the canal is fo great, as to drive all the fluid out of the fpacc GPH />G, fo that the fluid in the leg yiGpm does not 4 I 2 join [ 6i2 ] join to that in N H />« ; then it is plain that no fluid can run out of A into D ; any more than water will run out of a veifel through a fyphon, if the height of the bend of the fyphon above the water in the veflcl, is greater than that to which water will rife in vacuo. Corollary. If B is made undercharged, fome fluid will run out of D into A ; and that though the attradion of B on the fluid in the canal is ever fo great. PROP. XIV. Let ABC (fig. 8.) be a body overcharged with immoveable fluid, uniformly fpread ; let the bodies near ABC on the outfide be faturated with immoveable fluid ; and let D be a body inclofed within ABC, and communicating by the canal DG with other diflant bodies faturated with fluid ; and let the fluid in D and the canal and thofe bodies be moveable ; then will the body D be rendered undercharged. For let us firfl: fuppofe that D and the canal are fa- turated, and that D is nearer to B than to the oppofite part of the body, C j then will all the fluid in the canal be repelled from C by the redundant fluid in ABC; but if D is nearer to C than to B, take the point F, fuch that a partiele placed there would be repelled from C with as much force as one at D is repelled towards C ; the fluid in D F, taking the whole C 613 ] whole together, will be repelled with^ as much force one way as the other ; and the fluid in F G is all of it repelled from C : therefore in both cafes the fluid in the canal, taking the whole together, is repelled from C ; confequently fome fluid will run out of D and the canal, till the attradion of the unfaturated matter therein is fuflicient to balance the repulfion of the redundant fluid in ABC. PROP. XV. If we now fuppofe that the fluid on the outfide of ABC is moveable i the matter adjacent to ABC on the outfide, will become undercharged. I fee no reafon however to think that that will prevent the body D from being undercharged j but I cannot fay exadly what effed it will have, except when ABC is fpherical and the repuHion is inverfely as the fquare of the diflance ; in this cafe it appears by Prob. 1. that the fluid in the part D B of the canal will be repelled from C, with juft as much force as in the laft propo- fition ; but the fluid in the part BG will not be repelled at all : confequently D will be under- charged, but not fo much as in the laft pro- pofuion. Corollary. If ABC is now fuppofed to be undercharged, it is certain that D will be overcharged, provided the master near A BC on the outfide is laturated witii im- moveable [ 6i4 ] moveable fluid ; and there is great reafon to think that it will be fo, though the fluid in that matter is moveable. PROP. XVI. Let A E F B ( fig. 9. ) be a long cylindric body, and D an undercharged body ; and let the quantity of fluid in AEFB be fuch, that the part near E F fliall be fatu rated. It appears from what has been faid before, that the part near AB will be overcharged j and moreover there will be a certain fpace, as A^z3 B, adjoin- ing to the plane A B, in which the fluid will be prefled clofe together ; and the fluid in that fpace will prefs againfl: the plane A B, and will endeavour to efcape from it ; and by Prop. II. the two bodies-will attrad: each other : now I fay that the force with which the fluid prefles againfl: the plane AB, is very nearly the fame with which the two bodies attrad each other in the diredion E A ; provided that no part of AEFB is undercharged. Suppofe fo much of the fluid in each part of the cylinder as is fufficient to faturate the matter in that part, to become folid ; the remainder, or the redun- dant fluid remaining fluid as before. In this cafe the preflhre againfl: the plane A B mufl: be exadly equal to that with which the two bodies attrad each other, in the diredion EA: for the force with which D attrads that part of the fluid which we fuppofed to become folid, is exadly equal to that, with which it repels I C 615 ] repels the matter in the cylinder} and the redundant fluid \n'Eab¥ is at liberty to move, if it had any tendency to do fo, without moving the cylinder j lb that the only thing which has any tendency to impel the cylinder in the diredlion E A is the prefliire of the redundant fluid in A againfl: AB; and as the part near E F is faturated, there is no redundant fluid to prefs againfl the plane EF, and thereby to coun - teradl the preflhre againfl AB. Suppofe now all the eledfric fluid in the cylinder to become fluid j the force with which the two bodies attract each other will remain exa8 ] in It was collc6led in. the axis : tlie force with wliicii the plate repells the column, is proportional to D Q 3— ”_|^AC3— " — DA3~”j fuppofing the thicknel's of the plate and bafe of the column to be given. For, if DC is fuppofed to flow, the ccrrefponding fluxion of the repulflon is proportional to — DCxDC_ DC ~ D C”-^ A,C3-”+DC3-«— DA3 3— « ni flies.. J fluent of which^K, JJ A '' — n — , vaniflies when DC va- c o R 0 L L. r. If the length of the column is fo great that AC”"""^' is very fmall in refped of DC’^’-S the repuUion of. the plate on it is very nearly the fame as if the- column was infinitely continued. For by Lemma 8, A C3“”-|-DC3“" — D A.3~” differs very little in this cafe from A C 3~'* ; and if D C is infinite, it is cxadtly equal to it.. C o R o L L. IL If AC’^’ is very fmall in refpe^ of anch the point E be taken in DC fuch that EC” fliall. be very fmall in refped of AC”~S the repulfion of the plate on the fmall part of the column EC, is to- its repulfion on the whole column D C, very nearly as EC^~" to AC*-"'- L E M M A\ [ 1 Lemma X. If we now fuppofe all the matter of the plate to ba colleifled in the circumference of the circle, fo as to form an infinitely (lender uniform ring, its repulfioa on the column DC wdll be lefs than when the matter is Ipread uniformly all over the plate, in the ratio of 3 — « X A C’ AC"' DA'" to DC3-'’4- AC3- D A 3-«. For it was before faid, that if the matter of the plate be fpread uniformly, its repuilion on the column will be proportional to DCs— "-pAC3~” — DA3— or may be exprelfed thereby ; let now A C, the femi- diameter of the plate, be increafed by the infinitely fmall quantity Acj the quantity of mattor in the plate will be increafed by a quantity, which is to the whole, as 2 A c to A C ; and the repulfion of the f)late on the column, will be increafed by 3 — nx. Acx AC^-” — -^CX^X3 — =3 — n X A c X A C X — ^ — : therefore If a quan- AC"-' DA"-‘ . tity of matter, which is to the whole quantity in the’ plate, as 2 Ac to AC be colletffed in the circum- (erence, its repulfion ob the column DC, wfill be to that of the wdiole plate, as 3 — 7zxAcxAGx iH, toDC3-'4-AC3-«— DA3-'q and AC”~' DA"-* confequently the repulfion of the plate when all the matter is collected in its circumference, is to its re- K 2 pulfi’::!! [ 620 J puUion when the matter is fpread uniformly, as 3 — «xAC^ X — , to AC"-^ DA"-‘ ^ D As^«. Coroll. I.. If the length of * the column is fo great, that AC'^* is very fmall in refpedt of DC”~*, the re- pulfion of the plate, when all the matter is collected fn the circumference, is to its repuUion when the matter is fpread uniformly, very nearly as ^ - — to AC or as 3 — « to 2.. CoROLL, ir. If E C Is very fmall ,in refpefl of AC the- rcpulfion of the plate on the Ihort column E C, when all the matter in the plate is colledled in its circum- ference, is to its repulfion when the matter is fpread- 3 »X« ixEC^ uniformly, very nearly as toE C^' 4AC or as 3 — — I xE C”~* to 4' AC"— * and is therefore very fmall in comparifon of what it is when, the matter is fpread uniformly^ For by the fame kind of procefs as was ufed in. Lemma 8, it appears, that if E C* is very fmall in refpea of AC\AC^x AC — ? — differs very ' EA"~* little- [ 621: J from or from if EC’^^ is very fmall in refpeaof AC”-S EC* is a- fortiori very fmall in refpea: of AGV Co ROLL. III*. Suppofe now that the matter of the plate is denfer near the circumference than near the middle, and" that the denfity at and near the middle is to the mean denfity, or the denfity which it would everywhere be of if the matter was fpread uniformly, as . the repulfion of the plate on EC will be lets than if: the matter was fpread uniformly, in a ratio ap- proaching much nearer to that of <5^ to one, than to that of equality.. C o R o L L. IVv ' Let every thing be as in the I aft corollary, and let 7T be taken to one, as the force with which the plate adually repels the column DC (DC”-^ being very- great in refped of AC"-') is to the force with whicht it would repel it, if the matter was fpread uniformly;: the repulfion of the plate on EC will be to its repulfion on DC, in a ratio between that of EC3— to ACs^x-tt, and that of EC3— « to AC 3-» x7r,. but will approach much nearer to the former ratio than to the latter,. Bemma-i [ ^22 ]' L'e m m a XI. In the line DC produced, take C F equal to C A: If all the matter of the plate AB is colleded in the 'circumference, its repulfion on the column CD, in- finitely continued, is equal to' the repulfion of the fame quantity of matter colledted-in the point F, on the fame column. Imr.the repulfion of the plate on the column ira the diredion CD, is the fame, whether the matter of it be colleded in the whole circumference, or in the point A. Suppofe it therefore to be colleded in A; and let an equal quantity of matter be colleded in F; .take FG conftantly equal to AD,; and let A.D.and F-G flo.w: the fluxion of /CD is to the fluxion of F G, as A-D to C D ; and the repulfion of A on the point D, in the diredion CD, is to tlie repulfion of F on G, as CD to AD ; and therefore the fluxion of the repulfion of A on the column ■C D, in the diredion C D, is equal to the fluxion of the repulliun of F on C G ; and when AD equals A C, the repulfion of both A and F on their re- fpedive columns vanilhes ; and therefore the rc- pulfion of A on the whole column CD equals that of F on CG ; and when C D and C G are both in- :finitqly extended, they may be looked upon as die fame column. P R O P. XVIT. J^et two fimilar bodies, cf difi'erent fizes, and con- iifting of difi'erent for'6 of matter, be both over- (hirged. / 9 ■ '■• 2’/„/.x'.7}:„uJW J.XI. m .\XI V' ■■ E D / vn U <1 A ) T- A"- S- /« C R. B. [ 62 3 ]■ cliarged, or both undercharged, but in difderenf degrees ; and let the redundance or dehcience of fluid in each be very fmall in refpe(fl: of the whole quantity of fluid in them : it is impoflible for the fluid to be difpofed accurately in a flmilar manner in both of them ^ j as it has been fhewn that there will be a [pace, clofe to the furface, which will either be as full of fluid as it can hold, or will be intirely deprived, of fluid j but it will be difpofed as nearly in a iimilar manner in: both, as is poffible. To explain this, let BDE and bde (fig. i 2 ) be the two. flmilar bodies j anddet the fpace comprehended.' between the furfaces B D E and F G H. (or the fpace B F as I (hall call it for fhortnefs) be that, part of BDE, which is either as full of fluid as. it can hold, or intirely deprived of it: draw the. furface fuch that the fpace fhall be to the Ipace B F, as the quantity of redundant: or defleient fluid m.b de,. to that in B D E, and tliat the thicknefs of the fpace b f flaall every, where bear the fame proportion to the corre- fponding thicknefs of B F : then will the fpace bf be either as full of fluid as it can hold, or. * By the fluid being dirpofeJ’ in a fimilar manner in loth, bodies, I mean that the quantity of redundant or deficient fluid in any flmall part of one body,, is to that in the correfpom ing . fmall p.irt of the other, as the whole quantity of redundant or dtficient fluid in one body, to that in the other. J3y the quan- tity of deficient fluid in a body, I mean, the quantity of faidi wanting to faturate it. Notwithftanding the impropriety of this exprtflion, 1 muft beg leave to make ule ot it, as it will Irc- quently fave a great deal of circumlocution. { 624 ] intlrely deprived of it j and the fluid within the fpace f gh will be dlfpofed very nearly fimilarly to that ill the fpace F G H. For it is plain, that if the fluid could be difpofed accurately in a fimilar manner in both bodies, the fluid would be in equilibrio in one body, if it was in the other : therefore draw the furface /SS g, fuch that the thicknefs of the fpace /8 f fliall be every where to the correfponding thicknefs of B F, as the dia*- meter of hd e to the diameter of BDE j and let the 1-edundant fluid or matter in be fpread uniformly over the fpace jG f\ then if the fluid in the fpace fgh ■is difpofed exadlly fimilarly to that in FGH, it will be in equilibrio j as the fluid will then be difpofed exafUy fimilarly in the fpaces and BDE : but as by the fuppolition, the thicknefs ofxthe fpace ^ f is very fmall in refpedfc of the diameter of bde^ the fluid or matter in the fpace b f will exert very nearly the fame force on the reft of the fluid, whether it is fpread over the fpace jSyi or whether it is colledled in bj^ PROP, XVIII. Let two bodies, B and b^ be connetft:ed to each other by a canal of any kind, and be either over or undercharged : it is plain that the quantity of redundant or deficient fluid in B, would bear exadlly the fame proportion to that in b^ whatever fort of matter B confifted of, if it was pofiible for the redundant or deficient fluid in i any [ 625 ] any body, to be difpofed accurately in the fame manner, whatever fort of matter it confifted of. For fuppofe B to con fift of any fort of matter ; , and let the fluid in the canal and two bodies be in equilibrio : let now B be made to confifl: of fome other fort of matter, which requires a diflerent quantity of fluid to faturate it j but let the quantity and difpofition of the redundant or deficient fluid in it remain the fame as before’ it is plain that the fluid will flill be in equilibrio- as the attraction or repulfion of any body de- pends only on the quantity and difpofition of the redundant and deficient fluid in it. There- fore, by the preceeding propofition, the quantity of redundant or deficient fluid in B, will actually bear very nearly the fame proportion to that in h, whatever fort of matter B confifts of; provided the quantity of redundant or deficient fluid in it is very fmall in refpeCt of the whole. PROP. XIX. Fet two bodies B and b (fig. 1 1 •) be connected to- gether by a very flender canal h.V>da, either flraight or crooked let the canal be everywhere of the fame breadth and thicknefs.; fo that all feCtions of this canal made by planes perpendi- cular to the direction of the canal in that part, fhall be equal and fimilar : let the canal be com- pofed of uniform matter ; and let the eleCtric fluid therein be fuppofed incompreflible, and of fuch denfity as exaCtly to faturate the matter VoL. LXl. 4 L therein; [ 626 ] therein ; and let it, neverthelcfs, be able to ihovc readily along the canal ; and let each particle of fluid in the canal be attradted and repelled by the matter and fluid in the canal and in the bodies B and juft in the fame manner that it would be if it was not incompref- fible * j and let the bodies B and b be either over or undercharged. I fay that the force with which the whole quantity of fluid in the canal is impelled from A towards D, m the diredtion of the axis of the canal, by the united attradlions and repulfions of the two bodies, muft be nothing ; as otherwife the fluid in the canal could not be at reft : obferving that ^ by the force with which the whole quantity of fluid is impelled in the diredtion of the axis of the canal, I mean the fum of the forces, with which the fluid in each part of the canal is impelled in the direaion of the axis of the canal in that place, from A towards D; and obferv- ing alfo, that an impulfe in the contrary di- ' region from D towards A muft be looked upon as negative. For as the canal is exadly faturated with fluid, the fluid therein is attraded or repelled only by the re- dundant matter or fluid in the two bodies. Sup^fe now that the fluid in any fedtion of the canal, as E e, * This fuppofuicin of the: fluid in the canal being incom- nreflible, is not mentioneJ as a thing, which can ever take place in nature, brt is merely imaginary j the reafon lor making oi which will be given hereafter. IS f 627 ] IS impelled with any given force Jn the dire6Hon of the canal at that place, the fedion D d would, in confequence thereof, be impelled with exadly the fame force in the diredion of the canal at D, if the fluid between E ^ and D ^ was not at all attraded or repelled by the two bodies ; and, confequently, the fedion D is impelled in the diredion of the canal, with the fum of the forces, with which the fluid in each part of the canal is impelled, by the attradion or repuUion of the two bodies in the diredion of the axis in that part j and confequently, unlefs this fum was nothing, the fluid in D ^ could not be at reft. Corollary. Therefore, the force with which the fluid in the canal is impelled one way in the diredion of the axis, by the body B, muft be equal to that with which it impelled by b in the contrary diredion. P R O P. XX. Let two fimllar bodies B and ^ ( fig. r 3 .) be conneded by the very flender cylindric or prifmatic ca- nal A filled with incomprefiible fluid, in the fame manner as defcribed in the preceding pro- pofition ; let the bodies be overcharged j but let the quantity of redundant fluid in each bear fo fmall a proportion to the whole, that the fluid may be confidered as difpofed in a fimilar manner in both j let the bodies alfo be fimilarly fituated in refped of the canal A^j and let them be placed at an infinite diftance from each 4 L a other, [ 628 ] Other, or at fo great an one, that the repurfion of either body on the fluid in the canal fhall not be fenfibly lefs than if they were at an in- finite diftance : then, if the eledric attradion and repulfion is inveriely as the n power of the diftance, n being greater than one, and lefs than three, the quantity of redundant fluid in the two bodies will be to each other, as the n — I power of their corrcfponding diameters A F and af. ' For if the quantity of redundant fluid- in the two bodies is in this proportion, the repulfion of one body on the fluid in the canal, will be equal to that of the other body on it in the contrary diredionj and, confequently, the fluid will have no tendency to flow from one body to the other, as may thus be proved. Take the points D and E very near to each other j and take daxo DA, and r ^ to E A, as af to AF ; the repulfion of tfre body B on a particle at D, will be to the repulfion of b on a particle at dy as -i_ to — ; for, as the fluid is difpofed fimilarly in AF af both bodies, the quantity of fluid in any fmall part of B, is to the quantity in the correfponding part of by as A F”"' to a ; and, confequently, the re- pulfion of that fmall part of B, on D, is to the repulfion of the correfponding part of by on dy as or to — . But the quantity of fluid in ’ AF’ ^ the fmall part DE of the canal, is to that in dcy as DE to dCy or as AF to therefore the repulfion of [ 629 •] of B on the fluid in D E, is equal to that of b on the fluid in de : therefore, taking ag to A zs af to AF, the repulfion of b on the fluid in ag^ is equal to that of B on the fluid in A^j but the repulflon of ^ on ag may be confidered as the fame as its repulflon on A ; for, by the fuppofition, the repiil- flon of B on A^ may be confldered as the fame as if it was continued infinitely j and therefore, the re- pulfion of b on ag may be confidered as the fame as if it was continued infinitely. N. B. If n was not greater than one, it would be impoflible for the length of A <3: to be fo great, that the repulfion of B on it might be confidered as the fame as if it was contioued infinitely j which was my reafon for requiring n to be greater than one. Corollary. By jufi the fame method of reafoning it appears, that if the bodies are undercharged, the quantity of deficient fluid in b will be to that in B, as af'~' to AF”"k PROP. XXI. ■ Let a thin flat plate be connected to any other body, as in the preceding propofition, by a canal of incompreffible fluid, perpendicular to the plane of the plate ^ and let that body be overcharged, the quantity of redundant, fluid in the plate will bear very nearly the lame 3 proportion [ 630 ] proportion to that in the other body, whatever' the thlcknefs of the plate may be, provided its thicknefs is very fmall in proportion to its ‘ breadth, or fmalleft diameter. For there can be no doubt, but what, under that reftriftion, the fluid will be difpofed very nearly in the fame manner in the plate, whatever its thicknefs may be j and therefore its repulflon on the fluid in the canal will be very nearly the fame, whatever its thicknefs may be. PROP. XXII. LetAB and DF (fig. 14.) reprefent two equal and parallel circular plates, whofe centers are ^ C and E ; let the plates be placed fo, that a ' right line joining their centers (hall be perpen* dicular to the plates ; let the thicknefs of the plates be very fmall, in refpecfl of tlieir diflance CE; let the plate AB communicate with the body H, and the plate D F with the body L, by the canals C G and E M of inComprelTible fluid, fuch as are deferibed in Prop. XIX ; let thefe canals meet their refpedive plates in their centers C and E, and be perpendicular to the plane of the plates ; and let their length be fo great, that the repulfion of the plates on the fluid in them may be confidered as the fame, as if they were continued infinitely j let the body H be overcharged, and let L be faturated. It IS plain, from Prop. XII. that D F will be undercharged, and A B will be more over- charged [ ] \ charged than it would otherwife be. Suppofe, now, that the redundant fluid in AB is dil'- pofed in the fame manner as thte deficient fluid is in D F ; let P be to one as the force with whjch the plate AB would repel the fluid in CE, if the canal ME was continued to C, is to the force with which it would repel the fluid in CMj and let the force with which AB re- pels the fluid in C G, be to the force with which it would repel it, if the redundant fluid in it was fpread uniformly, as tt to i ^ and let the force with which the body H repels the fluid in C G, be the fame with which a quan- tity of redundant fluid, which we will call B, fpread uniformly over A B, would repel it in the contrary diredtion. Then will the redun- r dant fluid in A B be equal to , and therefore, if P is very fmall, will be very nearly equal to and the deficient fluid in DF will be to the redundant fluid in AB, as i - P to one, and therefore, if P is very fmall, will be ■ very nearly equal to the redundant fluid in A B, For it is plain, that the force with which AB repels the fluid in EM, muft be equal to that with which DF attracts itj for otherwife, fome fluid ' would run out of DF into L, or out of L into D‘ F : ^ for the fame reafon, the excefs of the repulfion of AB on the fluid in CG, above the attradtion of ED ’ thereon^ muft be equal to the force with which a quantity [ 632 ] quantity of redundant fluid equal to B, fpread uni- i formly over A B, would* repel it, or it mufl; be ■ B equal to that with which a quantity equal to — , fpread in the manner in which the redundant fluid is aiflually fpread in A B, would repel it. By the fuppofition, the force with which AB repels the fluid in E M, is to the force with which it would repel the fluid in C M, fuppofing E M to be con- tinued to C, as 1 — P to one j but the force with which any quantity of fluid in AB would repel the fluid in CM, is the fame with which an equal quan- tity flmilarly difpofed in DF, would repel the fluid in EMj therefore, the force with which the re- dundant fluid in AB repels the fluid in EM, is to that with which an equal quantity flmilarly difpofed in D F, would repel it, as i — P to one : therefore, if the redundant fluid in AB be called A, the defi- cient fluid in DF mufl; be A X i — P: for the farnc reafon, the force with which DF attrafts the fluid in CG, is to that with which AB repels it, as A X I — P X I — P, or A X I — P", to A ; there- fore, the excefs of the force with which A B repels CG above that with which DF attradls it, is equal to that with which a quantity of redundant fluid equal to A — A X i — P', or A x 2 P — P% fpread over AB, in the manner in which the redundant fluid therein is adually fpread, would repel it : there- fore, A X 2 P — P* muft be equal to 2, or A mull be equal to C 0 R o L. [ 633 ] COROL. I. If the deriiity of the redundant fluid near the middle of the plate A B, is lefs than the mean den- fity, or the denfity which it would everywhere be of, if it was fpread uniformly, in the ratio of ^ to one j and if the diftance of the two plates is fo fmall, that EC’-\ is very fmall in refpea; of AC’-h and that is very fmall in refped of AC^~”; the quan- tity of redundant fluid in AB will be greater than 3 ^ ^ T> A o\3 — f2 but will ap- B ACl 7Xkc' , and lefs than — x — proach much nearer to the latter value than the for- mer. for, in this cafe, P -jr is, by Lemma X, 3— n Corol. IV. lefs than E^3“" AC^ £C AC and -greater than X Sj but approaches much nearer to the latter value than the former ; and if E is very fmall in refped: of A C^"", P is very fmall. Remark^. If DF was not undercharged, it is certain that AB would be conflderably more overcharged near the circumfer-ence of the circle than near the center; for if the fluid was fpread uniformly, a particle placed anywhere at a diftance from the center, as at N, Would be repelled with confiderably more force to- wards the Circumference than it would towards the VoL. LXI, 4. M center. [ 634 r center. It the plates are very near together, and> confequently, D F nearly as much undercharged as AB is overcharged, AB will dill be more over- charged near the circumference than near the center, but the difterence will not be near lo great as in the former cafe : for, let N R be many times greater than CE, and NS lefs than CE; and take Er and E J equal to C R and C S, tliere can be no doubt, I think, but that the deficient fluid in DF will be lodged nearly in the fame manner as the redundant fluid in ABj and therefore, the repulfion of the redundant fluid at R, on a particle at N, will be very nearly balanced by the attraction of the redundant matter at r, for R is not much nearer to N than r is ; but the re- pulfion of S will not be near balanced by that of s ; for the diflance of S from N is much lefs than that , of s. Let now a fmall circle, whofe diameter is ' S T, be drawn round the center N, on the plane of the plate j as the denfity of the fluid is greater at T than at S, the repulfion of the redundant fluid within the fmall circle tends to impel the point N towards C 3 but as there is a much greater quantity of fluid between N and B, than between N and A, the re- pulfion of the fluid without the fmall ciicle tends to balance that ; but the effeCt of the fluid within the Imall circle is not much lefs than it would be, if D b was not undercharged ; whereas much the greater part of the effeCt of that part of the plate on the out- lide of the circle, is taken off by the efleCl of the correfponding part of D F : confequently, the dif- ference of denfity between T and S will not be near fo great, as if E) h was not undercharged. Hence I fliould imagine, that if the two plates are very ■[ ^35 ] very near together, the denfity of the redundant fluid near the center will not be much lefs than the mean denfity, or ^ will not be much lefs than one -/more- over, the lefs the diflance of the plates, the nearer will ^ approach to one. C o R o L. II. Let now the body H confifi: of a circular plate, of the fame fize as A B, placed fo, that the canal C G fliall pafs through its center, and be perpendicular to its plane j by the fuppofition, the force with which H repels the fluid in the canal CG, is the fame with which a quantity of fluid, equal to B, fpread uniformly over A B, would repel it in the contrary diredion : therefore, if the fluid in the plate H was -fpread uniformly, the quantity of redundant fluid therein would be B, and if it was all colleded in the circumference, would be ; and therefore the 3 — « real quantity will be greater than B, and lefs than 2B C o R o L. III. Therefore, if we fuppofe ^ to be equal to one* the quantity of redundant fluid in AB will exceed that in the plate H, in a greater ratio than that of , AC 3— « CK to one, and lefs than that of to one j and from the preceding remarks it appears, that the real quantity of redundant fluid in AB can 4 M 2 hardly [ 636 ] hardly be much greater than it would if I was equal to one. COROL. Hence, if the eledric attradion and repulfion is inverfely as the fquare of the diflance, the redundant fluid in A B, fuppohng ^ to be equal to one, will exceed that in the plate H, in a greater ratio than that of AC to 4CE, and lefs than that of AC to 2CE. C O R 0 L. V. Het now the body H confift of a globe, whofe diameter equals A B ; the globe being fituated in fuch a manner, that the canal C G, if continued, would pafs through its center ; and let the eledric attradion and rcpullion be inverfely as the fquare of the diftance, the quantity of redundant fluid in the globe will be 2 B : for the fluid will be fpread uni- formly over the furface of the globe, and its repul- fion on the canal will be the fame as if it was all colleded in the center of the fphere, and will there- fore be the fame with which an equal quantity, dif- pofed in the circumference of A B, would repel it in the contrary diredion, or with which half that quan- tity, or B, would repel it, if fpread uniformly over the plate. C 0 R o L. [ ^37 3 COROL. vr. Therefore, if ^ was ecjual to one, the rediindanf fluid in A B would exceed that in the globe, in the ratio of AC to 4CE; and therefore, it will in re- ality exceed that in the globe, in a rather greater ratio than that of AC to 4 C E ; but if the plates are very near together, it will approach very near thereto, and the nearer the plates are, the nearer it will approach thereto. C o R 0 L. VII.' Whether the eledric repuluon is inverfely as the fquare of the diftance or nor, if the body II is as much undercharged, as it was before overcharged, A B will be as much undercharged as it was before overcharged, and DF as much overcharged as it was before undercharged. CoROL. vm. If the fize and diftance of the plates be altered, the quantity of redundant or deficient fluid in the body H remaining the fame, it appears, by com- paring this propofition with tlie 20th and 21ft pro- pofitions, that the quantity ol redundant and deficient fluid in A B will be as A x or as K C A — p;, fuppofing the value of S to remain the fame. PROP, [ 638 ] I PROP. XXIII. Let AE (lig. 15.) be a cyllndric canal, Infinitely continued beyond E; and let AF be a bent canal, meeting the other at A, and infinitely continued beyond F : let the fedlion of this ca- nal, in all parts of it, be equal to that of^ the ■cylindric canal, and let both canals be filled with uniform fluid of the fame denfity ; the force with which a particle of fluid P, placed anyw'here at pleafure, repels the whole quan- tity of fluid in AF', in the diredfion of the ca- nal, is the fame with which it repels the fluid in the canal A E, in the diredfion A E. On the center P, draw two circular arches B D and b infinitely near to each other, cutting AE in B and and AF in D and I, and draw the radii P3 and P^. As PB = P D, the force with which P repels a particle at B, in the diredlion B /3, is to that with which it repels an equal particle at D, in the direaioii D I', as to or as i to ; and therefore, the force with which it repels the whole fluid in B /3, in the diredtion B /3, is the fame with which it repels the whole fluid in D in the direc- tion that is in the diredtion of the canal ; and therefore, the force with which it repels the whole fluid in AE, in the diredion AE, is the fame with which it repels the whole fluid in AF, in the direc- tion of the canal. C o R 0 L- [ 639 3 Corollary. If the bent canal ADF, inllead of being infinitely continued, meets the cyliiidric canal in E, as in fig. i6. the repulfion ot P on the fluid in the bent canal A D E, in the diredlion of the canal, will Ifill be equal to its repulfion on that in the cylindric ca- nal AE, in the diredion AE. PROP. XXIV. If two bodies, for inflance the plate A B, and the- body H, of Prop. XXII. communicate with- each other, by a canal filled with.incompreflible fluid, and are either over or undercharged, the <^uantity of redundant fluid in them will bear the fame proportion to each other, whether the canal by which they communicate is ftraight or crooked, or into whatever part of the bodies the canal is inferted, or in whatever manner the two bodies are fituated in relpedt of each other; provided that their diftance is infinite, or. fo great that the repulfion of each body on. the fluid in the canal fliall not be fenfibly lefs than, if it was infinite. Let the parellelograms AB and DF (fig. ly.^^re- prefent the two plates, and H and L the bodies com- municating with them : let now H be removed to h-y and let it communicate with AB, by the bent canal gc the quantity of fluid in the plates and bodies [ 640 ] bodies remaining the fame as before ; and let us, for the fake of eafe in the demonflration, fuppofe the canal ^ c to be every where of the fame thicknefs as the canal G C ; though the propofftion will evidently hold good equally, whether it is or not : the fluid will flill be in equilibrio. For let us firfl; fuppofe the canal to be continued through the fubflance of the plate AB, to C, along the line crC ; the part crC being ot the fame thicknefs as the refl of the canal, and the fluid in it of 'the fame denfity : by the pre- ceding propofition, the repuUion or attradion of each particle of fluid or matter in the plates A B and D F, on the fluid in the whole canal C rcg, in the diredion of that canal, is equal to its repulfion or attradion on the fluid in the canal C G, in the diredion C G ; and therefore the whole repulflon or attradion of the two plates on the canal C r cgy is equal to their repulflon or attradion on C G : but as the fluid in the plate AB is in equilibrio, each particle of fluid in the part Cr^- of the canal, is impelled by the plates, with as much force in one diredion as the other; and conlequently the plates impel the fluid in the canal eg, with as much force as they do that in the whole canal Creg, that is, with the fame force that they inapel the fluid in C G. In like manner the body b impels the fluid in c gy with the fame force that H docs the fluid in CG ; and conlequently b impels the fluid in c gy one way in the diredion of the canal, with the lame force that the two plates impel it the contrary way ; and theiteforc the fluid in eg has no tendency to flow from one body to the other. 2 Co R 0 L- [ 641 ] Corollary. By the fame method of reafonfng, with the Jielp that if it appears, hat if AB and II each communicate with a third body, by canals of incomprethble fluid, and a com- munication is made between AB and H by another canal of incompreffible fluid, the fluid will have no tendency to flow from one to the other through this canal j fuppofing that the fluid was in equilibrio before this communication was made. In like manner if AB and H communicate with each other or each communicate with a third body, by canals of leal fluid, inftead of the imaginary canals of incom- prefhble fluid ufed in thefe propofitions, and a com- munication is alfo made between them by a canal of incompreflible fluid, the fluid can have no tendency to flow from one to the other. The truth of the latter part of this corollary will appear by fuppofing an imaginary canal of incompreffible fluid to be con- tinued through the whole length of the real one. P R' O P. XXV. Let now a communication be made between the two plates AB and DF, by the canal NRS of incompreffible fluid, of any length j and let the body H and the plate A B be overcharged. It is plain that the fluid will flow through that canal from A B to D F. Now the whole force with which the fluid in the canal is impelled VoL. LXI. 4 N along [ 642 ] along it, by the joint aaion of the two plates, is the fame with which the whole quantity of fluid in the canal CG orc^ is impelled by them; fuppofing the canal N R S to be every where of the fame breadth andthicknefs as CG or eg. For fuppofe that the canal N R S, inftead of com- municating with the plate DF, is bent back juft before it touches it, and continued infinitely along the line S j; the force with which the two plates impel the fluid in Sr, is the fame with which they impel that in EL, fuppofing S r to be of the fame breadth and thicknefs as EL ; and is therefore nothing ; therefore the force with which they impel the fluid in NRS, is the fame with which they impel that in N R S r ; which is the fame with which they impel that m CG. PRO P. XXVL Let now x y z be a body of an infinite fize, con- taining juft fluid enough to faturate it ; and let a communication be made between h and xyz, by the canal hy of incompreffible fluid, of the fame breadth and thicknefs asgc or GC ; the fluid will flow through it from h to xy% ', and the force with which the fluid in that canal is impelled along it,, is equal to that with which the fluid in NRS is impelled by the two plates. If [ 643 ] If the canal hy is of fo great a length, that the repulfion of h thereon is the fame as if it was con- tinued infinitely, then the thing is evident : but if it IS not, et the canal hy^ inftead of communicating with xy IS, fo that the fluid can flow out of the canal into xy z, be continued infinitely through its fub- Irance, along the linejji'u : now it mufl; be obferved that a fmall part of the body namely, that which IS turned towards h, will by the adion of upon It, be rendered undercharged ; but all the refl: of the body will be faturated ; for the fluid driven out of the undercharged part will not make the re- mainder, which is fuppofed to be of an infinite fize, fenfibly overcharged : now the force with which the fluid in the infinite canal hyv, is impelled by the body ^ and the undercharged part oi xy%, is the fame with which the fluid in is impelled by them; but as the fluid in all parts of xyx is in equilibrio, a particle in any part ofyv cannot be impelled in any diredion ; and therefore the fluid in by is im- pelled with as much force as that inhyv, and there- fore the fluid in by is impelled with as much force as that in ^ c ; and is therefore impelled with as much force as the fluid in N R S is impelled by the two plates. It perhaps may be afked, whether this method of demonftration would not equally tend to prove that the fluid in by was impelled with the fame force as that in N R S, though xyz did not contain juft fluid enough to faturate it. I anfwer not; for this de- monftiation depends on the canal yv being continu- ed, within the body xyz^ to an infinite diftance beyond any over or undercharged part ; which could 4 N 2 not [ 644 ] not be if contained either more or lefs fluid than that. PROP. XXVII. Let two bodies B and b (flg. 13.) be joined by a cylindric or prifmatic canal A filled with real fluid j and not by an imaginary canal of in- comprelfible fluid as in the 20th propofition ^ and let the fluid therein be in equilibrio; the force with which the whole or any given part of the fluid in the canal, is impelled in the dired;ion of its axis, by the united repullions and attradfi- ons of the redundant fluid or matter in the two bodies and the canal, muft be nothing; or the force with which it is impelled one way in the direction of the axis of the canal, muft be equal to that with which it is impelled the other way. For as the canal is fiippefed cylindric or prifmatic, no particle of fluid therein can prevented from moving in the dirc(flion of the axis of it, by the fides of the canal ^ and therefore the force with which each particle is impelled either way in the diredion of the axis, ‘by the united attradions and repulfions of the two bodies and the canal, muft be nothing, otherwife it could not be at reft ; and therefore the force with which the whole, or any given part of the fluid in the canal, is impelled in the diredion of the axfs, muft be nothing. 3 Cor o L. C 645 ] CoROL. I. If the fluid in the canal is difpofed in fuch man- ner that the repulfion or attradion of the redundant □id or matter in it, on the whole or any given part of the fluid in the canal, has no tendency to impel it either way in the diredion of the axis ; then the force with which that whole or given part is impelled by the two bodies muft be nothing; or the force with which it IS impelled one way in the-diredion of the axis, by the body B, muft be equal to that with Which It IS impelled in the contrary diredion by the other body ; but not if the fluid in the canal is dif- poied in a different manner. C o R o L. If. If the bodies, and confequently the canal, is over- charged ; then, in whatever manner the fluid in the canal is difpofed, the force with which the whole quantity of redundant fluid in the canal is repelled by the body B in the diredion A muft be equal to that with which it is repelled by h in the contrary diredion. For the force with which the redundant fluid IS impelled in the diredion A^ by its own re— pulfion, is nothing ; for the repullion of the particles of any body on each other have no tendency to make the whole body move in any diredion. Re- [ 646 ] Remarks. When I firft thought of the 20th and 2 2d pro- poiitions, I imagined that when two bodies were connedted by a cylindric canal of real fluid, the rc- pulfion of one bpdy on the whole quantity of fluid in the canal, in one diredlion, would be equal to that of the other body on it in the contrary diredlion, in whatever manner the fluid was difpofed in the canal ; and that therefore thofe propofltions would have held good very nearly, though the bodies were joined by cylindric canals of real fluid j provided the bodies were fo little over or undercharged, that the quantity of redundant or deficient fluid in the canal fliould be very fmall in refped: of the quantity required to fa- turate it ; and confequently that the fluid therein fhould be very nearly of the fame denfity in all parts. But from the foregoing propofition it appears that I was miftaken, and that the repulfion of one body on the fluid in the canal is not equal to that of the other body on it, unlefs the fluid in the canal is dif- pofed in a particular manner : befides that, when two bodies are both joined by a real canal, the attraftion or repulfion of the redundant matter or fluid in the canal, has fome tendency to alter the difpofition of the fluid in the two bodies j and in the 2 2d propo- fition, the canal C G exerts allb fome attradlion or repulfion on the canal EM: on all which accounts the demonftration of thofe propofltions is de- fe(flive, when the bodies are joined by real canals. I have good reafon however to think, that thofe propo- fltions adually hold good very nearly when the bodies are ^'ShtTir^H ’ 'he canals fcr. A«rr«T,f ■T 1 1 . ^ in nopes that foine mnr<=* fHi reall7hoTd“gootor noi'.'"' ''''' “ “’ey' carrt',^’l!"'‘Pc'“^ ‘hat this is the ments I ha^<- I h'om feme experi- ments 1 have made, the quantitv of fluid in HifFpr^ ^ bod.es_agrees very well with thofe propofitions oTa ruppoficon that the eledric repuincondu6ting fubftances, it is faid to be infulated : if on the other hand it any where com- municates with any condufling body, it is faid to be not infulated. When I fay that a body com- municates with the ground, or any other body, I be miderftood to mean, that it does fo by fbme condu6ling fubftance. Though the terms pofltively and negatively elec- trified are much ufed, yet the precife fenfe in which they are to be under flood, feems not well afcertained namely^ whether they are to be un^ derflood in the fame fenfe iiv which- I have ufed the words over or undercharged, or whether, when- any number of bodies, iirfulated and communi- cating with each other by conducing fubflances, arc elearified by means of excited glafs, they are all to be called pofitively elearified (fuppofing, ac- cording to the ufual opinion, that excited glafs contains more than its natural quantity of eleari- city); even though fome of them, by the approach- of a ftronger elearified body, are made under- charged. I fhall ufe the words in the latter fenfe; but as it will be proper to afcertain the fenfe in which I fhall ufe them- more accurately, I. fhalb give the following definition. In order to judge whether any body, as A, is pofitively or negatively elearified : fuppofe ano- ther body B, of a given fhape and fize, to be placed 4t an. infinite diflance from it, and from any other over. [ 6St ] over or undercharged body ; and let B contain the fame quantity of eledlric fluid, as if it communi- cated with A by a canal of incompreflible fluid : then, if B is overcharged, I call A pofitively eledtri- fied; and if it is undercharged, I call A negatively eledlrifled ; and the greater the degree in which B is over or undercharged, the greater is the degree in which A is pofitively or negatively ele6trified» It appears from the corollary to the 24th pro- pofition, that if feverai bodies are infulated, and connedled together by conducing fubftances, and one of thefe bodies is pofitively or negatively elec- trified, all the other bodies mufi; be eleftrified in the fame degree : for fuppofing a given body B to be placed at an infinite diftance from any over or undercharged body, and to contain the fame quantity of fluid as if it communicated with one of thofe bodies by a canal of incompreflible fluid, all the reft of thofe bodies mufl; by that corollary contain the fame quantity of fluid as if they com- municated with B by canals of incompreflible fluid : but yet it is pofiible that fome of thofe bo- dies may be overcharged, and others under- charged: for fuppofe the bodies to be pofitively eleftrified, and let an overcharged body D be brought near one of them, that body will become undercharged, provided D is fufficiently over- charged ; and yet by the definition it will flill be pofitively eledlrified in the fame degree as before. hloreover, if feverai bodies are infulated and connedled together by conducing fubftances, and one of thefe bodies is eledrified by excited glafs, there can be no doubt, I think, but what they 4 O 2 ^vill C ^52 ] will all be pofitively eledrified ; for if there is no= other over or undercharged body placed near any of thele bodies, the thing is evident j and though Ibnie of thefe bodies may, by the approach of a fufficiently overcharged bodv, be ‘rendered under- charged; yet I do not fee how it is poliible to pre- vent a body placed at an infinite diftance, and com- municating With them by a canal of ineomprefliblc fluid, from being overcharged.. In like manner if one of thefe bodies is ele£lri- fied by excited fealing wax-, they will all be nega- tively eledrified. ^ It is impoffible for any body communicating with the ground to be either pofitively or nega- tively eledtrified : for the earth,, taking the whole together, contains juft fluid enough to faturate it, and confifts in general of condu6ling fubftances ; and confequently though it is poffible for fmall parts of the furface of the earth to be rendered over or undercharged, by the approach of electri- fied clouds or other caufes; yet the bulk of the earth, and efpecially the interior parts, muft be laturated with electricity. Therefore aflTume any part of the earth which is itfelf faturated, and is. at a great diftance from any over or undercharged part; any body communicating with the ground,, contains as much electricity as if it communicated with this part by a canal of incompreftible fluid, and therefore is not at all eleftrified. ^ body A, infulatcd and faturated’ with eletiricity, is placed at a great diftance from any 'Over or undercharged body,^. it is plain that it can- not be electrified ;, but if an overcharged body is- brought 2 C ^53 1 brought near it, it will be pofitively ele£lrified ; for fuppoling A to communicate with any body B, at an infinite diflance, by a canal of incompreffible fluid, it is plain that unlefs B is overcharged, the fluid in the canal could not be in equilibrio, but would run from A to B. For the fame reafon a body inflilated and faturated with fluid, will be negatively electrified if placed near an undercharg- ed body. § 2. The phaenomena of the attraction and re- puhion of electrified bodies feem to agree exaCtly with the theory; as will appear by confidering the following cafes. Case I. Let two bodies, A and B, both coiv- duCtors of electricity, and both placed at a great diflance from any other electrified bodies, be brought near each other. Let A be infulated, and contain jufl fluid enough to faturate it ; and let B be pofitively eleCtrified. They will attraCt each- other ; for as B is pofitively eleCtrified, and at a great diflance from any overcharged body, it will be overcharged ; therefore, on approaching A and B to each other, fome fluid will be driven from that part of A which is nearefl to B to the further part : but when the fluid in A was fpread uni- formly, the repulfion. of B on the fluid in A was equal to its attradion on the matter therein ; there- fore, when fome fluid is removed from thole parts where the repulfion of B is flrongefl to thofe where it is weaker, B will repel the fluid in A with lefs force than it attraas the matter; and. confequently the bodies will attraa each other. Case [ 654 ] Case II. If we now fuppofe that the fluid is at liberty to efcape from out of A, if it has any difpolition to do fo, the quantity of fluid in it be- fore the approach of B being ftill fuflicient to fa- turate it ; that is, if A is not infulated and not ele£lrified, B being ftill pofttively eleftrifled, they will attra(ft with more force than before : for in this cafe, not only fbme fluid will be driven from that part of A which is neareft to B to the oppo- fite part, but alfb fome fluid will be driven out of A. It mu ft be obferved, that if the repulfion of B on a particle at E, (fig. 19.) the fartheft part of A, is very fmall in refpe(ft,of its repulfion on an equal particle placed at D, the neareft part of A, ■ the two bodies will attradl with very nearly the fame force, whether A is infulated or not; but if the repulfion of B, on a particle at E, is very near as great as on one at D, they will attraft with very little force if A is infulated. For inftance, let a fmall overcharged ball be brought near one end of a long condu(ftor not ele6trified ; they will attradl with very near the fame force, whether the condu(ftor be infulated or not ; but if the conduc- tor be overcharged, and brought near a fmall un- ele£lrified ball, they will not attraft with near fo much force, if the bail is infulated, as if it is not. Case III. If we now fuppofe that A is nega- tively electrified, and not infulated, it is plain that they will attract with more force than in the laft cafe; .. [655 ] cafe ; as A will be ftill more undercharged in this cafe, than in the laft. N. B. In thefe three cafes, we have not as yet taken notice of the effedt which the body A will have in altering the quantity and difpofition of the fluid in B ; but in reality this will make the bodies attradt each other with more force than they would otherwife do ; for in each of thefe cafes the body A attradls the fluid in B j which,^ will caufe fome fluid to flow from the farther parts of B to the nearer, and will alfo caufe ^ fome fluid to flow into it, if it is not infulated, and will confequently caufe B to adl upon A with more force than it would otherwife do. Case IV. Let us now fuppofe that B is negatively eledtrifiedj and let A be infulated, and contain juft fluid enough to faturateit; they will attradl each other j for B will be undercharged ; it will therefore attradt the fluid in A, and will caufe fome fluid to flow from the fartheft part of A, where it is attradl-’ ed with lefs force, to the nearer part, where it is attradted with more force ; fo that B will attradl the. fluid in A with more force than it repels the matter.. Case V, and VI. If A is now fuppofed to be: not infulated and not eledtrified, B being ftill nega- tively eledtrified, it is plain that they willattradl: with, more force than in the laft cafe : and if A is pofltively, eledtrified, they will attradl with ftill more force. In thefe three laft cafes alio, the effedt which Ai has in altering the quantity and difpofition- of the; fluid. [ 656 ] fluid In B, tends to increafe the force with which the two bodies attrad:. Case VII. It IS plain that a non-conduding body faturated with fluid, is not at all attraded or repelled by an over or undercharged body, until, by the adion of the eledrified body on it, it has either acquired fome additional fluid from the air, or had fome driven out of it, or till fome fluid’ is driven from one /part of the body to the other. Case VIII. Let us now fuppofe that the two bodies A and B are both pofitively eledrified in the fame degree. It is plain, that were it not for the adion of one body on the other, they would both be overcharged, and would repel each other. But it may perhaps be faid, that one of them as A may, by the adion of the other on it, be either rendered un- dercharged on the whole, or at leaft may be rendered undercharged in that part nearefl: to B ; and that the attradion of this undercharged part on a particle of the fluid in B, may be greater than the repulfion of the more diftant overcharged part; fo that on the whole the body A may attrad a particle of fluid in B. If fo, it muft be affirmed that the body B repels the fluid in A ; for otherwife, that part of A which is nearefl: to B could not be rendered undercharged. Therefore, to obviate this objedion, let the bodies be joined by the ftraight canal DC of incompreffiblc fluid (fig. 1 9.). The body B will repel the fluid in all parts of this canal ; for as A is fuppofed to attrad the fluid in B, B will not only be more overcharged than it would otherwife be, but it will alfo be more over- '[657] overcharged in that part nearefl to A than in the dp- pofite part. Moreover, as the near undercharged prt of A is fuppofed to attra(fl a particle of fluid in With more force than the more diftant overcharged part repels it; it muft, a fortiori^ attradl a particle in the canal with more force than the other repels it ; therefore the body A muft attraft the fluid in the ^nal ; and confequently fome fluid muff flow from B to A, which is impoflible ; for as A and B are both eledtrified in the fame degree, they contain the fame quantity of fluid as if they both communicated with a third body at an infinite diflance, by canals of incompreflible fluid j and therefore, by the corollary to Prop. 24, if a communication is made between them by a canal of incompreflible fluid, the fluid would have no difpofition to flow from one to the other. Case IX. But if one of the bodies as A is pofi- tively eledtrified in a lefs degree than B, then it is poflible for the bodies to attradt each other; for in this cafe the force with which B repels the fluid in A may be fo great, as to make the body A either intirely undercharged, or at leaft to make the nearefl; part of it fo much undercharged, that A fliall on the whole attradl a particle of fluid in B. It may be worth remarking with regard to this cafe, that when two bodies, both eledlrified pofitively but unequally, attradl each other, you may by re- moving them to a greater diflanee from each other, caufe them to repel; for as the flronger eledlrified body repels the fluid in the weaker with lefs force when removed to a greater diflanee, it will not be VoL. LXI. 4P able • [658] able ta drive lb much fluid out of it, or from the nprer to the further part', as when placed at a Icfs diflance. Case X, and XI. By the fame reafoning it ap- pears, that if the two bodies are both negativ’ely elcdrified in the fame degree, they mu ft repel each other : but if they are both negatively eletftrified in different degrees, it is poflible for them to attradf each others All thefb (;afe^ are exadlly conformable to experi- ment. Case XII, Let two cork balls be fufpended by condudting threads from the fame pofitively eledrified body, in fuch manner that if they did not repel, they would hang dole together : they will both be equally eledrified, and will repel each other : let now an overcharged body, more ftrongly elcdrified than them, be brought under them ; they will become Icfs overcharged, and will feparate lefs than before : on bringing the body ftill nearer, they will become not at all overcharged, and will not feparate at all : and on bringing the body ftill nearer, they will be- come undercharged, and will feparate again. , Case XIII. Let all the air of a room be over- charged, and let two cork balls be fufpended dole to each other by conduding threads communicating with the wall. By Prop. 15, it is highly probable that the balls will be undercharged ; and therefore they fhould repel each other. Thefe « [ ^59 ] Thcfe two laft cafes are experiments of Mr. Can- ton’s, and are defcribed in Philof. Tranf. 1753, p. 350, where are other experiments of the fame kind, all -readily explicable by the foregoing theory. I have now confidered alkthe principal or funda.- -mental cafes of ele(^ric attradions and repulfions which I can think ofj all of which appear to agree perfedly with the theory. 'A • , § 3* cales in which bodies receive elec- tricity from or part with it tp the air. Lemma I. Let the body A (fig. 6.) either fland near fome over or undercharged body, or at a di dance from any. It feems highly probable, that if any part of its fur- face, as M N, is overcharged, the fluid will enr deavour to run out through that part, provided the air adjacent thereto is not overcharged. For let Q be any point in that furface, and P a point within the body, extremely near to it; it is plain that a particle of fluid at P, mufl; be repelled with as much force in one diredion as another (otherwhfe it could not be at reft) unlefs all the fluid between P and G is prefled clofe together, in which cafe it may be repelled with more force towards G ^han it is in the contrary diredion ; now a particle at G is repelled in the diredion PG, /. e. from P to G, by all the redundant fluid between P and G; and a particle at P is repelled by the fame fluid in the con- trary diredion ; fo that as the particle at P is repdied with not lels force in the diredion P G than in the ’ ’ ' 4 P 2 contrary, [ 66o ] ' contrary, I do not fee how a particle at G can help being repelled with more force in that diredion than the contrary, unicfs the air on the outfide of the furface M.N \yas more overcharged than the fpace be- tween P and G. In like manner, if any part of the furface is un- dercharged, the fluid will have a tendency to run in at that part from the air. The truth of this is fomewhat confirmed by the third problem; as in all the cafes of that problem, the fluid was (hewn to have a tendency to run out of the fpaces A D and E H, at any furface which was overcharged, and to run in at any which was under- charged. C o R o L. I. If any body at a diflance from other over or undercharged bodies, be pofitively eledrified, the fluid will gradually run out of it from all parts of its furface into the adjoining air ; as it is plain that all parts of the furface of that body will be overcharged : and if the body is negatively eledrified, the fluid will gradually run into it at all parts of its furface from the adjoining air. COROL. II. Let the body A (fig. 6.) infulated and containing juft fluid enough to faturate it, be brought near the overcharged body B ; that part of the lurface of A which is turned towards B wDl by Prep. 1 1 . be ren- • dered [ 66l ] dered undercharged, and will therefore Imhihe elec- tricity from the air j and at the oppofite furface R S, the fluid will run out of the body into the air. C O R O L. Ill* If we now fuppofe that A is not infulated, but communicates with the ground, and confequently that it contained juft fluid enough to faturate it before the approach of B, it is plain that the furface M N will be more undercharged than before ; and therefore the fluid will run in there with more force than before j but it can hardly have any difpofition to run out at the oppofite furface R S j for if the canal by which A communicates with the ground is placed oppofite to B, as in figure 5, then the fluid will run out through that canal till it has no longer any tendency to run out at RS ; and by the remarks at the end of Prop. 27, it feems probable, that the fluid in A will be nearly in the fame quantity, and difpofed nearly in the fame manner, into whatever part of A the canal is inlerted by which it communicates with the C o R o L. IV. If B is undercharged the cafe will be reverfed j that is, it will run out where it before run in, and will run in where it before run out. As far as I can judge, thefe corollaries feem con- formable to experiment: thus far is certain, that bodies at a diftance from other cle(ftrifled bodies re- ceive -[ 662 ] Cini: hut I propofe to confiticr thofe fort of Leyden vials more parikularl) m a future paper. able [ 669 1 able to enter a little way into the glafs, but not to pals through it, or unable to enter it at all ; and if it is able to enter a little way into it, let or b as I fhall call it, reprcfent that part of the glafs into which the fluid can enter from the plate and that which the fluid from Ey' can enter. By the abovementioned propofition, if b the thicknefs of the glafs, is very fmall in relpeff of bd^ the diameter of the plates, the quantity of redundant fluid forced into the fpace or B (that is, into the plate B^ if the fluid is unable to ' penetrate at all into the glafs, or into the plate B^/, and the fpace together, if the fluid is able to penetrate into the glafs') will be many times greater than w’hat would be forced into it by the fame de- gree of eleclrification if it had been placed by itlelf; and the quantity of fluid driven out of E tp, will be nearly equal to the redundant fluid in BX If a communication be now made between B5 and E (p, by the canal N R S, the redundant fluid will run from B^ to E cp ; and if in its way it pafles through the body of any animal, it will by the ra- pidity of its motion produce in it that fenfation called a fliock. It appears from the 26th propofition, that if a body of any fize was eledtrified in the fame degree as the plate B^/, and a communication was made between that body and the ground, by a canal of the fame length, breadth and thicknefs as N RS; that then the fluid in that canal would be impelled with tlie lame force as that in N RS, fiippofing the fluid in both canals to he incompreflible ; and conftquently, as the quantity of fluid to be moved. [ 670 ] and the refiftance to its motion is the fame in both canals, the fluid fhould move with the fame rapi- dity in both : and I fee no reafon to think that the cafe will be different, if the communication is made by canals of real fluid. Therefore what was laid in the beginning of this feclion, namely, that as great a fliock would be produced by making a communication between tlie conductor and the ground, as between tlie two fides of the I^eyden vial, by canals of the fame length and lame kind, fecms a necefiary confe- quence of this theory ; as the quantity of fluiil ' which pafles through the canal is, by the fuppo- fltion, the fame in both; and there is the greateft reafon to think, that the rapidity wdth which it pafles will be nearly if not quite the fame in- both. 1 hope foon to be able to fay whether this agree* with experiment as well as theory. It may be worth obferving, that the longer the canal N R S is, by which the communication is made, the lefs will be the rapidity with which the fluid moves along it; for the longer tlie canal is, the greater is the refiflance to the motion of the fluid in it ; whereas the force with which the whole quantity of fluid in it is impelled, is the fame whatever be the length of the canal. Ac- cordingly, it is found in melting fmall wires, by diredling a Ihock through them, that the longer the wire the greater charge it requires to melt it. As the fluid in B$, is attra£ted with great force by the redundant matter in E and will be at- trafted with very near as much force by the redun- dant matter in e cp., as it is repelled by the redun- dant fluid in^S; but if the repulfion is inverfely,. as fbme higher power than the fquare, it will be repelled wi|h much more force by than it is- attracted by e (p, provided the depth b j3 is very fmall in refpedl of the thickncfs of the glafs ; and if the repulfion is inverfely,. as fome lower power than the fquare, it wnll be attraded whth much more force by e(p, than it is repelled by Hence it follows, that if the depth to which the fluid can penetrate is very fmall in refpedt of the thicknefs^ of the glafs, but yet is fuch that the quantity of fluid naturally contained in or c(p, is confi- derably more than the redundant fluid in B then* if the repulfion is inverfely as- the fquare of the diflance, almo-fl; all the redundant fluid will be collected in bd, leaving- the nlacc .B J not very much, overcharged and in like manner Kf vyfll be.: / [ ] not very much undercliarged : if the repulhon is riiverfely as fome higher power than the I'quare, will be very much overcharged, and Kf very much undercharged : and if the repulfion is in- verfely, as fome lower power than the Iquare, Yjd will be very much undercharged, and Kf very much overcharged. Suppofe, now, the plate to be feparated from the plate of glafs, ftiil keepiiig it parallel thereto, and oppofite to the fune part of it that it before was applied toj and let the repulfion of the particles be inverfely, as fome higher power of the diflance than the fquare. When the plate is in contaft with the glafs, the repulfion of the redundant fluid in that plate, on a particle in the plane b d^ td (ji, the inner lurface of the plate, mud be equal to the excefs of the repulfion of the redundant fiuid in- bl on it, above the attradion of E on it ; therefore, when the plate B ^ is removed ever fo fmall a diftance from the glafs, the repulfion of the redundant fluid ' in the plate, on a particle in the inner furface of that plate, will be greater than the excefs of the repuliion of b^on it, above the attradion of E ^-Ai)fOlqn^^ 513 3"'On:! ' wj 3il? '1i t/nJ naf:) 1-3V y-TV' t i (»i.v nlion ; riihid r //Iv.-rfi vi3v tn{;*-'J Liuft silj l«dj ,3Vs?u.^i f(:*;r{vv ; ;ii6cl 'J3oV-i ■ e'jll^q li sioixi ^ladjo ariJ ol clon:^ ono /noii w. rl oi * ~r.co o* ^^yn‘Si o^oisT^Ii Lns i.:iii.ql r. 1o iinoi ufij ni :i '•sift tf-f!} jioifiiqo si? ’io fljuiJ srft rn'iii • , • . j f .« *.JVw.4 •ii ' ■♦ % ' t- ^ , 1 ' ' 'V-. AN 1 * INDEX T O T PI E Slxty.Firft VOLUME OF THE Philofophical TtranfaSiiom,^ For the. Year 1771*. A\. A CIDSi their ufe in putrid difeafes, p. Objeflions.- to them anfwered, p. 34Q, &c. Jgnano^ its lake is the remains of a volcanoe, p. 15/16. Air is a non-condu(5tor of electricity,. p. 649. Plate ofi eleftrified, p. '673. Alcali volatile produced by putrefa6lion,.p; 333. Impro- per in putrid diforders, p. 3.3s. Alchorne^Mx. Stanefby, his account oi‘ the fifty, Chelfeai - plants for 17,70,. p. 390, &x. Apbirles^ a numerous clafs ot infedls, P..183. Defeription- of thofe growing on the rofe trees, p. 184. Viviparous, in the fpring anid, fummer, and oviparous at .the end of the. I IS U A. the year, p. 185. Their incrcafc by fuccefTive genera- tions, p, 186, 187. No males but in the lad brood, p. 188. Their copulation, 190, 19 1. Produce of their eggs, p. 192. Their prodigious fecundity, P* 193- '^Atergatis^ a Phoenician deity, p. 346. The fame with Dagon, ibid. Athens^ no copper coined there before the end of the Pe- loponefian war, p. 469. Coined no gold, p. 471. Attic drachm, heavier than the denarius, p. 463. 528. Was both a piece of money and a weight, p. 468. Was the mod famous for finenefs and judnefs, p. 469. Its weight, p. 480. 483. Its worth, p. 523. Lowered when Greece was reduced by the Romans, p. 530. Atra5Hon and repulfion of electrified bodies accounted for, P- 653* As^ Etrufcan, druckat Volaterra, p. 85, 86. As^ Roman, its value, p. 519. Avernus^ the lake, had formerly a communication with the fea, p. 28. Fills the bottom of the crater of a moun- tain produced by explofion, p. 32. Aureus^ Roman, erroneoufly fuppofed double the weight of the Denarius, p. 464. Its real weight, p. 502. Aurum Mofaicum^ a preparation of tin defcribed by Mr. Woulfe, p. 114, 115. B. Babylonian talent, .its weight, p. 488. Barbara or Gauro, a mountain formed by an eruption, p. 31. • Barkery Thomas, Efq-, obfervations on the quantities of rain at Lyndon in Rutlandfhire, p. 221. 227, &c. Barrington, Hon. Daines, perfids in his opinion about the ' chefnut trees, p. 167. A new obfervation of his ort that fubjeft, p. 168. Account of a new niolc from North America, p. 292. Account of experiments made ■I N i) X. 68f made in North Wales, to afcertain the quantities of rain, at different heights, p. 294. Bflfait xutks in Hafiia, p. 580; Their nature, p. 5^1; Probably the produce of volcanoes, p. 582. Batavia^ its latitude and longitude determined, p. 435* Beccaria^ Mr. John Baptilf, his experiments with Mf< Canton’s phofphorus, p. 212. Bergius^ Profeflbr Jonas, defeription of a new plant front the Eaft Indies, p. 289, 290. Bivalve inftdls, diftindl from bivalve fhell-fifli, p. 30^ Borlafe^ Dr. William, meteorological obfervations fof 1770, p. 195. Bracini^ his account of the crater of Vefuvius before the eruption of 1631, p. li. Bufolo^ a wild ox, native of Tufeany, p< 84. G. Calculation of folar eclipfes very operofe in the common , manner, p. 437.' Simplified by Kepler, ibid. Demon-^ ftrated and extended by Dr. Pemberton, p. 438, &c. Cam^ the river, not frozen by a remarkable degree of cold^ p. 213. Cambridge, obfervatiens made on a remarkable cold there, p. 213, 214, &c. Canton, Mr. John, experiments fnade with his phofphorus, . p. 2 12. Caprea, ifland of, not formed by eruption, p. 14. Carp, whether only a frefh*water fifh, p. 311. Howto m.anage them properly, p. 313. Which are the bed for breeding, p. 316. Manner of their fpawning, p. 3 17. Mix with other fiPn, and produce mules, p, 318. Quicknefs of their growth, p. 321. How to be fed in cellars, p. 323. Will live a great while out of water, P' 324* Crufians, the fame fifh with the fud or fin-fcale, p. 318, Vo;.. LXr. 4 S , Cavendijh^ 6S2 INDEX. Cavendifh^ Hon. Henry, attempts to explain the phaenomena of eledtricity, p. 584. His hypothefs, p. 585. Its confequences, p. 586, &c. Chalcus^ difpurcs about its value, p. 470. Chelfea fifty plants of the garden for 1770, p. 390. Chefnut tree, whether indigenous in England, p. 136, Src. found fpontaneoufly growing in feveral woods, p. 140. How called by the Saxons, p. 147. Thought to have been ufed in mofl; of the old edifices in England, p. 137, . 157. Why difufed fiPiCe, p. 149. 159. Cbinefe ftoves, defcribed by Father Gramont, p. 61, &c. Their general conftrudtion, p, 62, 63. Their differ- ences, ibid. Their advantages, p. 67. Cochinchina^ a map of that kingdom, and of Cambodia, undertaken by Father Loreyro, p. 59, 60. Coins, Greek and Roman, examined, p, 462. Coin, a Punic, defcribed by Mr. Swinton, 78. With the Latin monogram vab (vabar), p. 79. Siculo-Punic explained by Mr. Swinton, 91. Coins firuck in Phoenicia before Alexander the Great, p. 345, &c. Cold, a remarkable one at Cambridge, p. 213. Perhaps occafioned by the folution of water in air, p. 215. Its ' effedls upon various faline folutions, p. 217. A very great one in Normandy, p. 287. And at Glafgow, P- 327- Colors, particular tranfmitted to, and reflcded by, Mr. Canton’s {)hofphorus, p. 212. C^viet, new, obferved at Paris, by Mr. Meflier, p. 104. Its elements by Mr. Pingre, p. 106. Cdmpafs, \X.^ variation obferved in the South Seas, p. 422, Condu^ors in electricity diflinguifhed from non-conduCtors, p. 649. Gngius Roman, its meafure, p. 494, 495. Confular /liver, its inequalities among the Romans, P- 5<^5* ' ■ ’ Cioke, I N D E X: 68j Cooke, Lieut. James, aftronomical obfervations m thfc South Seas, p. 397. His obfervations 6f the variation of the compafs in the South Seas, p. 422. Crell,, Profellbr, F. L. F. experiments on putrefadtion, P- 332- D. Dagon, a Deity of the Philiftines, p. 347. Called Acer- gatis in Phoenicia^ ibid. "Park, the Perfian, was the gold coin ufed at Athens in ancient times, p. 474. Bean, Foreft of, formerly abounding in chefnut- trees, p. 142. Whether any there ftill, p. 145, 146. BenariuSy Roman, of various kinds, p. 490. Its mean weight, p. 508. Its diminution under the Emperors, p. 509. Be VifmeSy Mr. Stephen, letter on the manner in which the Chinefe heat their rooms, p. 59. Bijiances of the planets from the fun, p. 579. Bollondy Mr. has improved his micrometer, p. 538. Bucarel, Dr. on chelnut-trees in England, p. 136. Thinks that the timber of that tree was ufed in the conftru6tion of ancient houfes in London and elfe where, p. 137. 157- E. Earthquakes produced by the fame caofes which bring on explofions, p. 29. Eclipfes Solar, fee Calculation, Edwards, Mr. George, defcription of a bird from the Eaft Indies, p. 55. Eginean talent, its weight, p! 483. Was the ftandard of the Macedonian money, p. 484. And of the Ptole- maic money in Egypt, ibid. 4S 2 Eijenjchmid, ^4- INDEX, JE^ifenfehmid, analyfis of his bopk^ De Ponderibus & men-r funs yecerum, p. 464. Eldsn holey a remarkable cavern in Derbylhire, p. 251, ^le6lricity explained by means of an elaftic fluid, p. 584, Comparifon of the theory with experiment, p, 649.- ' Greek, its ancient form, p. 99. 'Equatorial telefcope, invented and defcribed by Mr, Nairne, p. 107. Its ufes, p. 109, &c. Eruptions of lavas, their dates may be in forne meafure afcertained by the ftrata of good mould lying between different beds of purnice leones, p. 6. Etnay an eruption of this mountain at hand, p. 42. Etrufcan letters, the firft alphabetical in Italy, p. 88. Euboic talenty came from Afia, p. 4.S6. Its proportion to fhe Attic, p. 48.6. ■ ‘ . F. 4 wine where produced, p 32. Eluents afljgnable by arcs of Conic Sedfions, how to be computed, p. 298. FoUi§y what it was, p. 515. ForJleTy Mr. John Reinhold, on the management of carp in PolHb Frulfia, p. 310. G, Cardeuy Or. his account of a new turtle Pent over by him I from South Carolina, p. 267. f^eneratiofiy infufflciency of the fyftems pn, p. 193, 194. fjeorge IJland, in the South Seas, its latitude, p, 40(5. Epngitude^, p. 409, Ihanfit of Venqs obferyed, p. 410, &c. Dip of the needle obferved, p. 420. Obfervations of ^he tidep, P- 420. Gold, i'5 yalpe in Greece anci Rome, p. 517. Its pro- portion to filver in (iiflPcrent times, p. 518. r.i2, i • N D E X. K)o!d^ fearcc in ancient Greece, p. 472. Com.jnon aftc^ the times of Philip of Macetion, p. 473. Qorfuch, Rev. William, Regifter of mortality for teik years, at Holy Crofs in Salop, p. 57. Gramont^ Father, defer iption of the Chinefe ftov.es, p. 6 1 . Grea:pes, his labours .on ancient coins analyfed, p. 463, 464. Greeks^ had no money at the time of the Trojan war, P- 527- Greeny Mr. Charles, obfervations at George Ifland in this South Sea, p,. 397. Died at Batavia, p. 421.. H. Hamiltony Sir William, K. B. remarks upon the nature of the foil of Naples, and its neighbourhood, p. 1—48. Hanlyy Dr. Peter, account of a fteatomous tumor, p. 131,. Uaftedy Edward, Efqj ori the chefnut tree’s being indige- nous in England, p. 160. Heberdeny Dr. William, his note on the difference in the quantity of rain at ditferem diftances from the earth, p. 297. _ Uercnlanmmy in fome parts 120 feet, and in no part Jefs_ thaja 70 feet, below ground, p. 3, Covered with the matter of fix different eruptions over that which de- ftroyed ir, p. 7. tiornJJjyy Rev. ProleffTor, determination of the fun’s parai^. jax from the obfervations of the laft tranfit of Venus, P- 574* Borfey running, its price in Greece, p. 528. liorjleyy Rev. Samuel, problems, on the denfity of a cruft compofed of fpherical particles upon the furface of a globe, p. 558. Bownrdy John, Efq; obfervations on the heat of the ground op Mount Vefuyius, p. ^3. fJunt^ry E55 I 'U •£) E X.' Hunter^ Dr. William, his account of the Nyl*ghau, an Indian animal, p.' 170. Hygrometer y nevv invented by Mr. Smeaton, p. 198. Made with flaxen cords, p. 199. Defcription of it, p. 201. ’ Obfcrvations made with it,* p. 207, 208. Is not a meafurer of the abfolute quantity of mojftare contained in the air, p. 209. But of the difpolition of the air to precipitate or imbibe water, p. 210. f. t Icty its evaporation, p. 329. Indigenous plants found in' feveral parts of England, p. 359,&c. Difficult to be diftinguifhed, p. 385. JndigOy uftd to make the Saxon blue, p. 128. and a yellovv die, p. 129. JnJlruQionSy given to the obfervers of the tranfit of Venus, * P- 545- . . • ■ ^ ^ Ifcbiay ifland, formed by eruptions, p. 34. Its baths, P- 35- K. Kangy fee Chinefe Jioves. Kepler^ s compendium for computing Solar Eclipfes dc- monflrated and extended, p. 437, &c. Kingy Edward, Efq-, his obfcrvations on the cavern of Elden-hole in Derby fhire, p. 256. Mis conjedure a« ■ bout a fubterraneous river at the bottom ot the cavern, p. 258 — 265. L. - LandeUy Mr. John, on fluents afTignable by arcs of Conic Sedions, p. 298. LavOy a foul vitrified matter, produced by eruptions and very different from the tufa, p. 7. Leyden- 6 i: n ;d ’E x; xt^eydtn vial, its plia?nomena defcribtd, p. Lloydf Mr. account of Elden-hole in Derbyfliire, p. 251, Luc^ Mr. de, has invented a new method of obfervino- the elevation of places by means of the Barometer, p. 2^4. , • M. Mac Bride, his objefUons to the ufe of acids in putrid dif- • orders, p.' 339. Examined by Profeffor CrelJ, p. 340, 34 ^ • * Majkeline, Rev. Nevile, his calculations of the Aftronomi- cal obfervations in the South Seas, p. 405, 406, &c. His improvements of Dollond’s Micrometer, p. 536. . Mena, a town in Sicily, pj 97, 98. Mejfier, Mr. on a new Comet, p, 104. Mercury, its tranfit over the Sun obferved at Cambridge New England, p. 51. Meteorological obfervations at Ludgvan in Cornwall, for 1770, p. 195. At Caen ih E X; VapcurSy rifing from Volcanoes, pernicious to animati p. 16. 33. 41. Correfponding with fixt air, ibid. - Ventaroli^ cold fubterraneous winds, p. 35. VeJuviuSy a great channel, through which nature dis- charges fome foul humours of the earth, p. 11. its cone raifed by eruptions, p. 12. Heat of the ground on the mountain, p. 53. Virgin foil, none near Vefuvius, p. 13. Volcanoes owe their exiftence to fubterraneous fires, p. 2* Frequently throw up water mixed with the afhes, p. 9. the matter of their eruptions lies very deep, p. 29, 30, their fmoke contains a portion of electrical matter, p. 40. W. 1 Waring^ Richard Hill Efqj on indigenous plants of England, p. 359. Water thrown out by Mount Etna, and other volcanoes, ,in the beginning of eruptions, p. 9. Boiling, rufhes out of the rock of Pifciarelli near the Solfaterra, p. 1 8. Water^ rarefied and turned into an elaftic fluid by eicClri- city, 675. Watfon, Profeffor Robert, on the effeCls of a remarkable cold, 213. Wilfon, Frofeflbr, account of a remarkable cold at Glalgow, p. 326. Winthrop^ Profeiior, his obfervation of the tranfit of Mercury in new England, p- 51. Wollajion^ Rev. Account of the going of his clock, p. 559. Some of his Aflronomical obfervations, p. 565. Woulfe^ Mr. Peter, experiments on the Aurutn Mofaicum, p. 114. Method of dying wool and filk of a yellow colour with indigo, p< 129. WeightSf Etrufean, deferibed by Mr. Swinton, p. 82. 87. Williams y • ! INDEX. Williams, Rev. Mr. account of a remarkable thunder florin^ p. 71, 72. y Yellow dies, by means of Indigo^ defcribed by Mf. Woulfe, p. 129. Z. Zehra^ a new fifh brought over by Coriimodore Byron, and defcribed by Mr. Tyfon, p< 247. A fpecies of perch, 248. The Number of P L A T E S In this Volume 15 Twenty-two. finis, 4 \ ERRATA. Vol. LIX. Pag. 69, line 23> fhortell longeff. Vol. LX. Pag. i94f 8, effort effete. II, knots knobs. 20$, 13, explofion expulfion. 211, 9, mere more. 216, 12, fort foot. 218, 22, fitted filled. 219, 28, I let the air into the receiver, 224, 17, read from one coududiug, particle to another. 227, 2, for proof read procefs. 502, middle column, 1. 3 from bottom, 7*45«^ >'• 7'43-j'5» Pag. 17, 14,.^r Vol. LXI. avenues avernus. 7«> 12, Tab. III. Tab. III. * . 79, lad line, Vabais i Vabar is. 14?, II, ehefimt chefnut. 168, note 3, at the North Eaft to the North Eaff. 219, 2C, fait falts. 274, 3, Efq; add F. R.S. 275, 20, 30th 72 Inches Barom. 30 72 inches. 280, 13, m It in the apartment. 282, 13, afer^oxm r.although diminiflied in lonn, weighed. 290, 2, ■euq que. 29?, 23, fixteen ths , fix tenths. 359. 2, read Richard Hill Waring. 360, 26, Phyl Phyt. 362, 6, tri|)Ia tripld. 36 f, 16, Vacinia . Vaccinia. 366, 26, and the and on the. 367, Sf county country. 368, 5, Ter Ger. 371, 22, 23, Perica: Peziz®. 377, I, removed renewed. 379, 9i Triddlc h'riddle. 383, .4, prepared to prepared and at liberty to. 4f4 at bottom XLV. XLVII. I U: > • r . •- ' '