M Natural History Museum Library 000163700 I \ / / PHILOSOPHICAL TRANSACTIONS. GIVING SOME ACCOUNT O F T H E < Trejent Undertakings , Studies , and Labours , ; OF THE INGENIOUS- t IN MANY Confiderable Parts of the WORLD. VOL. XXXIX. For the Years 173?, 1736. LONDON: Printed for T. Woodward, at the Half-Moon, between the Two Temple-Gates in Fleetjlreet and C. Davis the Corner of Tater-nofter-row , n wxWarwick-lane Printers to the Royal Society. M.dcc.xxxviii. - . . T O HERMAN BOERHAAVE, A. L. M. Philos, and M. D, PROFESSOR of PHYSICK IN THE University of LETT) EH, President of the College of ChirurGions in that City. Fellow of the Royal Soci'ety of LONDON, AND M]ember of the Royal Academy of Sciences at FA R IS, &c. Honoured S I R, A N Addrefs to You in Englijh needs no JlX. Apology, fince it is well known to all, who have the Happinefs of an intimate Acquaintance with You, that not only the ' DEDICATION. EngTtJh , but likewife all the other European Languages, in which any Pieces valuable for the Improvement of Learning have been publifhed, are alike familiar to You. The Honour You have done me in com- municating to the Royal Society through my Hands thofe curious and elaborate Ex- periments you made upon ^iiickpher, can, not be acknowledged by me in a fitter Man- ner, than by dedicating to You this Thirty- ninth Volume of Ehilofophical Tranfa£tions : which likewife gives me an Opportunity of publickly thanking You for the many Marks of Friendfihip and Efteem I have received at your Hands, for the Civilities You have always fihewn my Friends, and the Ho- nour You have done me in continuing an Epiftolatoiy Correlpondence ever fince I left Eeyden. I reckon it a great Happinefs, the having been near five Years one of your Pupils, during which Time You were fo kind as to . direct D E D IC AT 10 N. direct and advife me in all my Studies 5 and . I gratefully own, that it was You who firft led me into thofe Philofophical RefearcheSj which have fince procured me the particular Favour of our Worthy Prejident , and the great Honour conferred upon me by Him, the Council and Fellows of the Royal Society, in chufing me One of their Secretaries. Were thefe Volumes publifhed in the Name of the Royal Society, they would not require the Patronage of any Particular Perfon 5 a Sanction from that Illuftrious Body, which hath all along fo juftly been in the higheflfEfteem among the Learned, would be a fufficient Protection for the Publisher : But, as they contain only fome of the Papers which have been read at their Aflemblies, the pub- lication of which is left to the Difcretion of the Secretaries, the Editor becomes anfwerable for what he communicates to the Publick 5 therefore, as to the Share I have had in collect- ing and publifhing thefe Memoirs, I beg Leave to apply to You for Protection, who are a thorough O D E D IC JTIO N. thorough Judge of their Ufefulnefs, and who have, by your univerfal Knowledge, de- fervedly obtain’d a Place in the firft Rank of Learned Men. I hope You will accept this as a Token of the moft fincere Refpedt and higheft Re- gard, which I fhall ever retain for You, being, SIR, LONDON, Aug. i. 1738. Tour moji obliged , and moji devoted humble Servant, Cromwell Mortimer, M. D. Secretary to the Royal Society, and Fellow of the Royal College of Physicians, LONDON. N« 436. CT77* -> S' j? cs n /? F/ii/fl Jranjact 'll11 -d'j. 6'. >jAe uhSiaTtTridztvM 4%7ute7U'jAa^//Atii,a4 me Aznee 9vAe7v Atm a/ma#-- Se/yefee, <&f a?W7 4//A/e ci/±AA/£ i/ea/' 773 6. $// FRS . Aty/Se/' v/dAe AAyal fflAeAies/tutdiz/ ,JeAml. 2 7 ©* i i 42 it « 4 i 2 . t t m ** 42 t 2©.' * *3 3 ©i ** *3 i 43 13 ? *© 4 t Qi ** i +4 ^ 3*© -#2 5 | "'*© * * 4 45 41 © * 4 * © 1 4 4 1 jr / *© *4 7 2* ©7“ ■*■» *7 7© t * I <9 7 - 2 € % 4 48 ttc * + 4 >4 1 © « 4 49 * © * I~+4 10 t f ©*j ,2 5° / t * © i ^ r © ++ + ' 51 ' 47© * 22 -J+ © ^ 4 4 J>2 +3 ^ © +2 * 13 2+%n t 53 7* + © 4 24 7 2 © +Z 54 ^ J '• 7© f- 24 * © f + 55 t 7 2* © i 2^ 7 ©/ 4 5ff .7 © 4 + 4 7 ©,1 +2 +2 57 i 4© 4 4 1 8 ©7* +2 58 59 J- 7 7© 27. .2*©+ 2 t ;e U 22 7 © «.r- So 7 .t 4 22 7 ©7 ■te*2 Si ? / r ?© 22 t t © *-2 +-.? 8% «® 7 4 £? t f © +.3 63 7/ fi*> _l 24 1 © *2 +.J +2 64 3 7 7© +^ 2^ ©+* +2 e5 3 2*1® * + 2i// fo inverted. Numb. 436. Beginning Yol. XXXIX. PHILOSOPHICAL TRANSACTIONS for the Months of January >Febr. and March , 1735. The CONTENTS. I. A Catalogue of the Fifty Plant s, from Chelfea- Garden, prefented to the Royal So- ciety hy the Company of Apothecaries, for the Tear 1 753. purfuant to theT)ire£lion of Sir Hans Sloane, ‘Bart. Med. (peg. Fraf. Col. <%eg. Med, tsr Soc. liorum alis feffilibus. Ononis lutea, fylvejlris minima. Colum. Ecph. 304 444. Buphthabnum Creticum ; Cotulae facie, {lore albo. Bre^r. Cent. r. f. '74. 444. Cicer fativum C. B. 347. 5 $6. Convolvulus Americanus, minors Polygon! fubairfuto folio s {lore parvo, caeruleo, pa rente. , Huic accedit Jrijtnu-Clandi. Hort. Malab. 1 1. p. 13 r. Tab. 64 457. Convolvulus major, reefus, Creticus-, argen- teus. Mor. Hill. 2. p. 11. 458. Convolvulus ramofus, incanus $ foiiis Pilofel- Ise. C. B. 294. 4 49. Elasagnus Oriental is> anguftifolius 5 fruclu pirvo, Olivar formi, fubdulci-. T. Cor. 43. Ziziphus alia. Cluf. Hill. 29. 460. Fraxinus lorifera, botryoides. Morif. H. Reg. Blef. 264. A $*1. ( 1 ) 761. Granadilla Hifpanis ; Flos Paflionis Italic. CoS. in Recch. 889. 762. Granadilla ; folio tricufpidi, latiori; flore mi* nimo. An Granadilla, folio tricufpidi ; fore parvo, favef- c ente. 1 . Inft. 240 ? 563. HyiTopus 3 rubro flore. C, B. 217. 564. Jafrninum Azoricum, trifolium; flore albo, odoratiftinao. H. Amft. 1. p. 159. 5 67. Lachryma Job. Cluf. Hid. CCXVI. 5 -66. Lotus htemorrhoidalis, humiliorSi carididior, T. Inft. 403. * 767. Lychtiidea Caroliniana 5 floribus quad umbel- latipa difpofitis ; foliis lucidis, craffis, acutis. Mar- ty n Hift. p. 10. 568. Marrubium album, vulgare. C.B. Pin. 230.. 569. Marrubium album, anguftifolium, perigrinum. Ibid. 570. Marrubium alburn, latifolium, peregrinum; Ibid. 571. Mentha hortenfis, prior. • Fuchf. Hift. 288. 5-72. Mentha prima. Dod. Pempt. 97. 573. Mentha hortenfis, verticillata 3 Ocirni odore. C. B. Pin. 227. Mentha quart a. Dod. Pempt. 97. 774. Mentha fylveftris; rotundiore. folio, C. B. Pin. 227. 577. Mentha fylveftris ; rotundiore folio ; purpu- reo flore. Bot. Monfp. 776. Mentha fylveftris, fpicata, latifolia, hirfuta. 777. Mentha Piperitis. Off. Lond. Mentha ; Spicis breviorihus babitioribus", fo- Jiis Mentha fufck ; fapore fervido Piperis. Raij. Syn. Ed, 3. p, 234. 778. ( 3 ) 57§* Molucca lasvis. Dod. Pempt. 92.' 579. Momordica vulgaris. T. Inft. p.103, 580. Momordica Zeylanica, pampinea, fronde, fru- &u longiori. Ibid. Pandi Pavel. Hort. Mai. 8. 17. 581. Omphalodes pumila, verna ; Symphyti fo* lio. T. Inft. 140. 782. Onagra Bonarienfis, villofa Sore mutabili. Horf. Eit. 297. Tab. 219. 583. Paronychia Hifpanica. Cluf. Hift.CLXXXIL 5:84. Phytolacca Americana tnajori fruftu. T. Inft. 299. Solatium magnum Firginianum rubnim. Park. Theat. 347. 585. Phytolacca Mexicana ; baccis Seflilibus. Hor. Elt. 318. 586. Phytolacca Americana, minor; bacca mono- pyrena. ’ Solanoides Parifienfium. 587. Ptarmica Orientalis j Santolinas folio,- flore minori. T. Cor. 37. 588. Rapuntium Trachelii folio j flore purpura- fcente. Plum. Cat. p. 7. 589. Ricinoides Americana Alni folio, oblongo. A Dno. Houfton. An Ricinoides Americana, Cajlanes folio. Plum. Cat. p. ao. *90; Scabiofa ftellafa, Orientalis j flofculis rnargi- nalibus fimbriatis 591. Spermacoce ; verticillis tenuoribus. Hort. Elf. Fab. 277. f. 2.79. J92. Symphoricarpos ; foliis alatis. Horf. Elt. 371. Tab. 278. ( 4 ) 59 3 • Tanacetum Africanum, arborefcens ; foliis Lavendulaa tnultifido folio. Horf. Atnft. i. p. aoi. 794. Telephioides Graaca, huinifufa ; flore albo. T. Cor. jo. J9J. Tithymalus Americans, ratnofiffimus* ; Oci* mi miaoris folio. A D-Houflon. 596. Turnera frutefcensj Ulmi folio. Plum. Nov. Gen p, ij. J97. Turners 5 Lycopi folio ; flore ampliore. Gift us \ Urtka folio ; jlore luteo' j vaj cults tri - gonis. Sloan Hift. Vol. I. Tab.. 127. fig. 4 5c y. 598. Virga aurea, major ; foliis glutinofis 5c grave- olentibu?. T. Inft. 484. 599. Virga aurea ; Uhni folio ; Virginians. Virga aurea Americana, afpera j foliis Ireviori- hus ferratis. Hort. Elt. 4x1. 600. Vitex foliis anguliioribus ; Cannabis modo., djfpofitis. C. B. Pin. 4 .75. ' k. a , (5) H. A Catalogue of the -Eclipses of Jupiterv Sa- tellites, for the Tear 173 6. computed to the Meridian of the RoyalObfervatory at Green- wich, by James Hodgfon, F. R. S. Mafter of the tffoyal Mathematical School in Chrift’j.Hof- pital, London. Eclipses of the firjt Satellite o/’Jupiter. D. H. M. S. D. H. M. S. M. H. D. S. 15 21 35 22 20 12 45 54 January. *7 l6 4 1 2 22 7 14 54 Immerfions. *9 IO 33 3 24 1 43 56 21 5 1 56 25 20 12 53 22 23 3° 50 27 14 4i 50 Jupiter and the Sun 24 17 59 46* 29 9 1 0 5° in Conjunct ion. 26 12 28 44 3i 3 39 45' # 28 6 57 4i 27 10 20 4 April. 29 4 48 33 March. Immerfions. 30 23 17 3 Immerfions. 1 2 2' 8 4r February. 1 1 26 40 3 l6 37 36 Immerfions. 2 *9 55 40 5 I I 6 3°* 4 14 24 39 7 5 35 22 1 17 45 38 6 8 53 40 9 0 4 14 3 12 14 15 8 3 22 42 10 18 33 01 5 6 42 51 9 21 5i 43 1 2 *3 1 53 - 7 1 11 32 1 1 16 20 44* H 7 30 39 8 19 40 14 13 10 49 49 16 2 59 24 10 14 8 58 [5 5 18 5i l7 20 28 7 12 8 37 44 16 23 47 52 19 *4 56 47* 14 3 6 30 18 18 16 52 \zi 9 25 26 n CO • Eclipses of the firjt Satellite of Jupiter; D. H. M. S. ] d. h. : M. s. D. H. M. s. l3 3 54 4 4 15 13 50* 22 9 59 25* 14 22 22 4i 6 9 41 59 24 4 28 14 16 16 5i 16 8 4 10 5 18 1 1 19 48 9 22 38 13 Emerfions. to 5 48 21 1 1 l7 06 22 13 11 34 30* 24 6 45 13 May. ■ 15 6 2 39 26 1 14 4 Immerfions. t7 0 3° 50 27 O 42 56 18 18 59 0 29 1 4 11 48* 2 0 16 50 20 13 27 11s* 31 8 40 45* 3 18 45 20 22 1 55 23 5 13 13 a r ^ 45 24 2 23 37 August. 7 7 42 10 25 20 5i 51 Emerfions. 9 2 10 33 27 15 20 8* 10 20 38 55 29 9 48 27 2 3 9 47 I 2 15 7 15* 3 21 38 50 i4 9 35 34 July. 5 16 7 53* 1 6 4 0 0 50 ♦ Immerfions. 7 10 36 S' 57 17 22 32 . .5 9 5 6 1 19 i7 0 21 1 4 16 45 10 23 35 1 r 2 1 1 1 28 34 ' 2 22 45 9 12 18 4 22 23 5 56 46 4 17 13 32 14 12 33 33* 25 0 24 5^ 6 11 4i 57* 16 7 2 48 26 18 53 8 8 6 10 28 18 1 32 2 28 13 21 21* 10 0 38 53 0 20 1 49 3° 7 49 25 1 1 0 7 24 21 14 30 36* 13 0 35 55* 23 8 59 55 J UNE.. 15 8 - 4 32* f 25 3 29 14 Immerfions. 17 2 33 14 26 21 58 36 18 21 1 57 28 16 27 57* 3 2 17 34 20 15 30 40^ 1 3° 10 57- 21* J2 20 1 45 43 Sep- ( 7 f Eclipses of the firft Satellite of Jupiter. D. H, M. s. D. H. M. S. D. H. M. S. - 8 9 42 58* 21 15 38 55 September 10 4 12 5 23 IO 7 3 Emerfions. 1 1 22 41 IO 25 - /" 4 35 7 13 17 IO i5 20 23 3 11 I 5 26 46 1 5 1 1 39 15* 28 17 3i 13 2 23 56 10 i7 6 * 8 12 30 1 1 59 16 4 18 25 34 19 0 37 8 6 12 55 0* 20 19 6 0 December. 8 7 24 2 7 • 22 13 34 52 \L' Emerfions, IO 1 53 53 24 8 3- 40* 16* 1 1 20 23 18 26 2 32 28 2 6 27 13 14 52 44 27 21 1 8 4 0 55 12 15 9 22 9*' 29 15 29 47 5 J9 23 8 17 18 3 22 5i 20 33 55 31 9 58 26* 7 9 13 8 5* 18 3 57# 20 1 6 50 l9 November 1 1 2 46 5i 22 24 1 1 5 *9 49 40* 1 Emerfions. 1 2 14 21 15 14 42 46 41 26 0 18 20 2 4 2 7 5 16 IO IO 3 6 27, 18 47 39 3 22 55 38 18 4 38 3 2# 29 13 16 55* 5 *7 24 8 ^9 23 6 27 7 ii 52 36 21 l7 34 25 October • 9 6 21 3 23 12 2 23 Emerfions • 1 1 12’ 0 l9 49 I 7 26 48 25 27 6 0 30 58 #2 2* 23 1 7 46 10* 14 13 46 6 28 19 26 24 3 2 15 24 1 6 8 14 21* 30 13 54 29 4 20 44 43 18 2 42 35 6 i5 !3 48 19 21 IO 46 Eclipses ( 8 ) . Eclipses of the fecond Satellite of Jupiter. D. H. M. S. D. H. M. s. D. H, M. s. 18 10 25 57 January, 21 23 44 46 June. Immerfions. 25 3 30 Immerfions. 29 2 22 12 • 1 1 43 9 Jupiter and the Sun April. 4 15 0 15* in Conjunction. Immerfions. 8 1 1 4 *17 i7 34 18 1 8 25 2' 49 26 1 15 40 52* 15 6 52 25 5 4 59 28 18 26 S 35 28 16 7 8 8 18 *7 59 22 9 25 45* 1 2 7 36 25 25 22 43 I February. 15 20 54 45 29 12 0 Immerfions. ip 10 1 2 54 July. - 22 23 30 5-8 1 5 24 59 26 12 48 59 Immerfions. 4 1 8 42 55* 8 8 1 A 2 30 2 6 49 3 1 17 56 11 21 19 16 May. 6 14 35 33* 15 10 ■ 37 39 18 23 56 5 t immerfions. [0 i3 3 53 17 11 20 10 2’- 13 14 35 3 15 24 37- i7 6 29 19 26 2 33 14, 7 4 42 14 20 J9 47 35 29 J5 5i 55 to 17 59 47 14 7 17 12 Emerfions. March. i7 20 34 32 Immerfions. 21 24 9 23 5i 8 47 58 24 28 11 59 1 18 54* 29 4 5 10 40 28 12 26 4* 34 14 37 9* 7 18 39 29 ii 7 48 18 14 21 7 9 , * August. r Eclipses/?/ the fee end Satellite 0/ Jupiter. D. tl. M. S. August. Emerfions. 4 3 56 ° 7 i7 14 59 11 6 34 5 14 i9 53 13 18 9 12 32* 21 22 31 54 25 11 51 23* 29 1 10 54 September. Emerfions. 1 14 30 '31 5 3 5o 11 8 17 9 55 12 6 29 36 15 l9 49 15 D. H. M. S. 19 9 8 51* 22 22 28 25 26 11 47 54* 30 1 7 18 October. Emerfions. 3 14 26 42 7 3 45 54 10 i7 5 1 14 6 24 0# 17 19 42 48 21 9 1 24* 24 22 i9 55 28 1 1 38 IO November. Emerfions. 1 o 56 19 4 14 14 17 D. H. M. S. 8 3 32 1 1 1 16 49 3T 15 6 7 1* 18 *9 24 7 22 8 41 22* 25 21 58 22 2 9 11 15 1 6 December. Emerfions. 3 0 32 6 6 *3 48 47 10 3 5 ' 27 i3 16 22 6 i7 5 38 47* 20 18 55 3° 24 8 12 15 27 21 29 6 3i 10 45 59 B Eclipses ( io ) Eclipses of the third Satellite of Jupiter. Immerfions. 5 I4- 3 8 K 18 3 345 19 22 4 26 27 2 5 49 Emerfions. 27 5 39 38 March-,. Immerfions. D. H. M. S. D. H. M. s. M. H. D. S. r9 17 45 8 16 I 49 53 January. 26 21 46 43 23 5 48 41 Immerfions. April. 30 9 47 12 Jupiter and the Sun Immerfions. June. in Conjunction. . 2 22 !3 45 Immerfions # 29 io- 3 18 10 l7 2 6 14 15 52 35 6 l3 IO 14 9 8 44 1* February. 24 IO 15 48 20 27 18 22 6 5 34 14 5 6 7 15 12 IO 8 56 19 14 IQ 48 26 18 L2 19 Emerfions. 5 9 40 -57 12 13 42 52 Emerfions. 3 1 48 23 10 5 49 44 i? 9 50 39 24 13 51 2* May. Immerfions. 1 1 4 15 8 18 15 16 15 22 14 19.. 2 13 1 6 11 26 23 3° Emerfions. 1 17 51 8 8 21 50 44 Emerfions. 6 13 45 36* *3 17 43 57 July. Immerfions. 5 2 4 35 12 6 4 27 1 9 5 4* Emerfions. Jupiter and the Sum in Oppofition. 26 17 1 August. • Eclipses of the third Satellite vf Jupiter, D. H. M. S. August. Immerfions. Jupiter andtheSur in Conjundtion. Emerfions. 2 21 43 42 10 1 45 56 17 5 48 40 24 9 5i 44: 3 1 13 55 r September. Immerfions. 7 14 23 34 14 18 27 26 2 1 22 3; 9 29 2 34 34 Emerfions. 7 !7 58 48 14 22 2 32 D. H. M. S. 22 2 6 7 29 6 9 24* October. Immerfions . 6 6 37 47* 13 10 40 28* 20 14 42 27 27 18 43 46 Emerfions. 6 10 12 1 5* 13 14 14 42 20 18 16 27 27 22 17 32 November. Immerfions. 3 22 44 32 ii 2 44 32 18 6 43 53* 25 10 42 39 D. H. M. S. Emerfions. 4 218 4 11 6 17 48* 18 10 16 51 25 H i5 *7 December. Immerfions. 2 14 41 0 9 18 39 0 16 22 36 58 Emerfions. 2 18 13 16 9 22 10 54 l7- 2 8 28 24 6 6 1 r 31 10 4 IG B 2, Eclipses ( 12 ) Eclipses of the fourth Satellite of Jupiter. D. H. M. S. D. H. M. S. 28 Immerfions 9 3 2 r 6 January. 28 Emerfions. 14 17 8 *4 3 44 49 February. H 8 22 1 1 1 21- 57 2 March. 2 2 34 53 18 16 9 29* 18 20 49 29 4 10 21 9 April. 4 r5 2 53* 21 4 31 22 May. 2r 9 14 32 7 22 40 8 8 3 24 44 24 16 47 16 June. 24 21 32 3° 1:0- 10 52 23* ro 15 3* 1* 27 4 58 33 July. 27 9 44 29* > 13 23 7 44 n 1 s> S 1 6 if. O 9 II 36 52* August. 30 16 22 r6 6 21 5i 33 2 5 54 56 September. 2 10 39 2* *9 0 15 10 *9 4 57 44 5 18 35 0 October. 5 23 16 . 0 22 12 5i 24 22 17 30 28. 8 7 4 4 6* November. 8 n 4i 33 25 1 15 2 25 5 49 iS* ii *9 22 37 December, 11 23 54 5 28 13 3° 42 _ 28 17 5* 53 ( 1 3 ) III. The apparent Times of fucb of the Imraer- fions and Emerfions of Jupiter’* Satellites , as are Yifible at London, in the Tear 1 736. together with their Configurations at tho/e Times reprefented in a Plate {Vide T AB.) by the fame. D. H. M. January. -4 © rf February. I 5 6 43 M I. 2 2 13 6 4 M I. 3 3 25 6 0 M I. 1 March. 4 12 4 21 M I. 1 5 l9 4 9 M I. 4 April 6 2 3 41 M I. 2 7 4 4 38 M I. 1 8 5 3 3 M E. 4 9 20 2 57' M I. 1 10 25 1 51 M E. 3 May. * 1 1 2 2 16 M I. 3 12 4 3 25 M I. 2 13 6 1 14 M I. 1 14 13 3 7 M I. 1 15 29 0 . 26 M I. 2 1 6 00 1 21 M I. 1 June. *7 5 - 3 00 M 1 2 18 00 3 14 M U i L D. H. M. June. 19 7 I 46 M E. 3 20 10 IO 52 A I. 4 i21 1 1 3 38 M E. 4 22 13 1 1 34 A I. 1 23 14 2 8 M I. 3 i24 21 1 2 7 M I. 1 1 25 22 9 26 A I. 2 j 2 6 27 9 44 A E. 4 27 28 3 20 M I. 1 28 29 12 00 July. I. 2 29 6 II 42 A I. 1 3° 7 2 36 M I. 2 3i 14 I 36 M I. I. 1 32 8 4 A 1 33 r9 10 5 A. I. 3 34 21 3 3i M I. 1 35 22 9 59 A i. 1 36 24' 12 GO E., 2 37 30 2 12 M E. ] 38 3i 8 41 August.. A1 E. 1 39 1 2 37 M E. 2 40 6 4 8 M E. . 1 4i i5 0 34 M E. 1 42i 46 1 1 37 A 1 L 4 Hu GUI ( <4 ) D. H. M. D. H. M 1 August. O CTOBER. 43 18 9 *3 A E. 2 63 14 6 24 A E. 2 44 22 2 3X M E. 1 6 4 15 II 39 A E. 1 45 24 9 52 A E. 3 65 21 9 1 A E. 2 46 25 1 1 51 A E. 2 66 24 8 4 A E. 1 47 29 4 •28 M E. 1 67 3i 9 58 A E. 1 48 3° 10 57 A E. 1 November. September. 68 8 7 5 A I. 4 49 1 1 55 M E. 3 69 n 6 18 A E. 3 50 2 10 39 A E. 4 70 1 6 6 7 A E. 2 5i 7 0 55 M E. 1 71 16 8 14 A E. 1 52 i5 9 22 A E. 1 72 18 6 44 A 1. 3 53 1 9 9 9 A E. 2 73 22 8 4i A E. 2 54 22 1 1 20 A E. 1 74 25 5 49 A E. 4 55 56 26 29 1 1 6 48 9 A A E. E. 2 3 December. 57 3° 1 *7 M E. 1 75 2 6 27 A E. 1 October 76 9 8 J9 A E. 1 77 r7 5 39 A E. 2 58 1 7 46 A E. 1 78 18 4 39 A E. 1 59 6 6 38 A 1. 3 79 24 6 6 A E. 3 60 10 12 A E. 3 80 25 6 30 A E. 1 61 8 9 43 A E. 1 62 *3 10 40 A 11. 3 In all 80. The 2 d and 5 th Columns, fhew the Times when the Eclip- fes will happen; the 3 d and 6th , fhew the Kind. Thus, on the $tb of February , at 6 h. 43 m. in the Morning there will happen an Xmmerfion of the fecond Satellite; and the Number i, which is placed againft the $tb of February in the 1 ft Column, re- fers to the Number 1 in the 1 fi Column of the Plate of Configura- tions^ againft which is placed the Correfipondent Configuration , or the Form in which the Satellites will appear at that Time, tV.J* Oj ) IY. An Account of/ome QhferVations of the Eclipfes of the Firft Satellite of Jupiter, compared with the Tables , by the fame * BY comparing 244 Eclipfes of the firft Satellite of Jupitefy obferved between the Years 1677 and 1731, with the Flamfteedian Tables, correfted by tny felf, from which Tables the preceding Ca- talogue of Eclipfes is deduced, I find there are 74, which make up near one Third of the whole Num- ber,. that do not differ one Minute from the Tables j. 1 27, which are above one Half, that do not differ two Minutes j 181, which are two Thirds of the whole Number, that do not differ three Minutes ; and 214, which are feven Eighths, that do not dif- fer four Minutes, the reft not differing above five Minutes and one half, which is a Degree of Ex aft-- nefs fufficient in my Opinion to recommend the Ufe of thefe Eclipfes to our Navigators, to determine the Difference of Longitude, efpecially fince they may be feen with a Telefcope of three Feet, as is affect- ed in Page 169 of the Connoijfance Des tfemps for the prefent Year ; and if this be true, X will venture to affirm. That an Immerfton or Emerfion, obferved with this Telefcope, will not differ one half Mi* nute from the Time obferved with the largeft Tele- fcope : However that be, it is but comparing an Obfervation of the fame Eclipfe, made with thefe two different Tdefcopes together, .and the Difference < ( \6 ) of the Times will be difcovered, which will ferve for ever afterwards, as a Rule to ad juft the Observa- tions. The only View that I have in communicating this Paper, and in computing the Eclipfes for Time to come, is to encourage thofe Perfons, who will find their Advantage in it, to make Ufe of this Help for obtaining the Longitude at Sea, till better Me- thods are offered. V Experiments and Obfervations upon the Light that is produced by communicating Elec- trical Attraction to animal or inanimate ©o- dies, together with fome of its mojl furprijhg Effects 5 communicated in a Letter from Mr. Ste- phen Gray, F. .!. Si per puzxfta A> B, C, agantur redfoe A B, A C fibi mvicem occurrentes in A & reftis R K, D K pofitio- m datis iaR&Mf Figura defcripta tranfibit per quinque f *7 ) quinque pun&a, B, C, K, M, R. Et hinc patet nova methodus Sedtionem Gonicam defcribendi per quin- que pundta data omnibus hadtenus inventis multo fa- cilior. Vid. Exerc. Geom. Trep. 3. Moveantur circa quatuor pundta A , B, C, D, in pi mo quovis tanquam polos totidem redhe A N S, BOS, CNO, D P O, quarnm tres A N S, B O S, CNO fefe interfecent in tribus pundtis S, N,0, SCdu- cantur duo interfedlionum pundta S, N, per redlaS d K, R K pofitione datas, St interea tranfeat per reliquum O redla D P O dudta a polo quarto D, re- dtamque A N S fecet in P ; atque pundtum illud P defcribet Lineam tertii ordinis. Demonftratur ex «»• decima %Jrop. Exerc. Geom . Per polos A,B,D, agantur redhe A B R, B D H fibi occurrentes in B, & redtis K R, K d pofitione datis in R,H jFigura motu pundti P defcriptatranfibit per quinque pundta A, D, H,K, R, quorum A erit du- plex. Hinc deducitur Methodus defcribendi Lineam D z tertii ( *8 ) rcrtii ordinis per feptem punda data quorum unmn- fit duplex. Dentur enim A,D, H, K,P, M, R, et oportet unum A efle duplex. Per duo punda, H, R, ad aliud K agantur red:* H K, R K, Sc jungantur punda A,R, 8c H, D, producanturque reds AR, H D qua; fibi occurrant in B. Dudis per A & punda P, M, redis A P N S, A M n s qux redam K R i'ecent in N, % redam vero H K, in S, r ; per punda ilia S ,s, ducantur ad B reds B S; Br, atque per D ad punda P, M, age redas D P O, D M T redis B S, B s, occur- jentes in O, T. Jungantur punda O, N, &T, n, SC producantur reds O N, T n qux conveniant in C. Dein circa punda A,B,C,D, tanquam polBs roten- tur red* A S, BO,C O, D O, quarum tres A S, BO, C O fefe interfecent in pundis S, N, O, & ducantur duo S, N, per redas H K, K R & interea tranieat femper teda DO per reliquum O, qux redam ANS fecet in P, * ' SC ( 2p ) Sc haec interfedio P redarum AS, DO Lineam tertii ordinis defcribet per feptem punda data, A,D,H,K,M> P, R, traufeuntem, dupliciter vero per datum A. Defcribuutur etiam Lines tertii ordinis generalius led minus commode hoc modo qui & priorem com- pleditur. Rotentur circa quinque punda A, B, C, D, E, data tanquam polos totidem reels A N S,B%0 S,CN 0> D P O, E P S, quarum ties A N $, B O S, C N O, fefe- interfecent in pundis N, S, O ; ducantur duo S, N, per redas pofitione datas d K, K R, atque per alter- utrurn S, e duobus S, N, <3C reliquum O tranfeant continuo reds E P S, D P O per polos E, D, duds, qus conveniant in P : punduin ilfud P defcribet li- neam tertii ordinis, cum duplice pundo in polo E. Simili modo deferibi poffunt Lineae quarti ordinis.’ Moveantur circa quinque junda data A,B, C, D,ES in piano quovis tanquam polos totidem reds AN S, B Q_S, CN O, D PO, E P Q, quarum tres, A N S, BQ_S, CN O'fibi occurrant in tribus pundis S, N, 0; ducantur duo interfedionum punda S, N, per redas d K," R. K pofitione daras, SCinterea per reliquum O tranfeat ( ) tranfeat femper reda D P O mobilis circa quattunt polum D, qu£e fecet rectam A N S in P ; dein aga- tur per illud P reda E PQ_duda a polo quinto E, 6c producatur utrinque ut redis B Q^S; C N O, occurrat in Q_ Sc W : dico punda Q, W, Lineas quarti ordi- nis defcribere. Demonftratur ex undecima ‘Prop. Exerc. Geom. Per polos A, E, B, D, agantur re- ds A EH, BDF, reds d K pofitione dats occurren- tes in H, F ; Jungantur D, E, atque per polos D, A, duda AD, reds, dYL occurrence in V ; ex illo V e- ducatur reda V B ad polum B qus redam D E fecet in G. Figura defcripta tranfibit per quinque punda B, E,G,F, H, tripliciter autem per polum B. Produ- catur per polos A, B, reda A B R qus reds K R po- fitione dats occurrat in R j Curva etiam tranfibit per punda R, K, Hinc elicitur methodus ducendi Lineam quarti or- dinis pernovem punda data quorum unum fit triplex. Dentur enimB,E,F,G,H,L,M,T,Q, 6c oportet unum B efTe triplex, Jungantur punda B F, F H, H E, pro- ducanturque ( ) ducanturque r edx BF, FH, HE. Et per puuda E Gi GB, agantur redx EGD} B G V, quarum EGD redam BF fecet in D, altera vero BG V re- dam F H in V. Jundifque V & D ac produda V D qux redx HE occurrat in A, ducatur per pund reda T in />, a- gatur per / & D reda D/> Z qux occurrat redx BTr in Z & notetur Z. Et ita deinceps ducantur red® ab iifdem B, E, ad reliqua data M,L, dudifque redis ab A & D ut priuSj notentur panda inventa X Y. Deinde ( 3* ) Deinde per quatuor punda inventa O, Z, X, Y & da- tum B defcribaturfedio Conica(vid. Trcp. 3. Exerc* Qeom ) qux redam F H fecet in pundi-s I, K, reclam f ero d A B in B/R. Per punda A, I, agatur reda A I qux fedionem Conicam feeet ini & C; jungantur- que punda K, R, & producatur reda K R. Move- antur jam circa quinque punda A, B,C, D,E, tan- quam polos totidem red x A S, B S, CN,DO,EQ, quarum tres AS, BS, CN, fibi occurrant in N,S, O, & ducantur concurfus N 8c S redarumAS.CN, G T quarum una AiSfS revolvendo fecet redas dK> R K, pofitione datas in pundis S, N ; ducantur per eorum unum N redx CN, E bl, 8c per alterutn S redx B S, DS, qua; redis, GN.EN conveniant E w ( 34 ) in pundis O, T, ut fupra Sediones Conicas defcriben- tibus j 5t interea per eadem O, T, tranfeant re£be FO, GT a polis F, G, dudaj qus fibi occurrant in Pj concurfus P Lineam quarti ordinis defcribet cum duplici pundo in utroque poloF Sc G. Sed hifce ne diutius immorer, en tandem Theo- rema Generale. Moveantur circa punfta A,B,C,D,E, F,G,H,&c. quorum numerus fit »,tanquam polos, to- tidem redas As,BS,CN, DP, EQ,5 F W, XG, H Y,bcc. pofitione datas; Sc interea per reliquum O Sc polum D tranfeat re£ta D P re£tam A S fecans in P, Sc per il~ lud P Sc polum E dufta reQ:a E Q_quse redam BS fecet in Q., Sc ex hoc Q. per polum F agatur F Q_re- ftamque A S fecet in W, atque per W Sc polum G duda W G • reftam B S fecante in X, Sc deinde per X Sc polum H producatur recla H Y qute reftas ' ‘ ---- - - . " SA ( $ j ) S A occurrat in Y, & ita deinceps ; concurfus Y re- <&e Y H ab ultimo polo H dufia; cum alterutra reda- rum A S,B S defcribet Lineam ordinis n — i j 5C Cur* va multiplex pundum n — ^ habebit in polo A vel B prout fuerit defcripta concurfu red# AS aut B S. Punda O, P, Q_, W, X, Y, 5Cc. defcribent lineas or- dinis fecundi, tertii, quarti, quinti, fexti, feptimi, Ac. at fi locentur omnes poli A, B, C,D,E, F, G,H, Ac. in eadera reda, punda ilia O, P, Q., YV, X, Y, . VI. Concerning the Caufe of the General Trade- Winds. ’Ey Geo. Hadley, Effo F. (^. 5. VII- An Account of the federal Earthquakes which have happen’d in New-England, fence the ferfe Settlement of the Englifli in that Country, efpecially of the lafe , which happen’d on Odob. 29, 1727. Communicated to the Royal Society ^yPaul Dudley, Effo F.^S. in a Letter to the Secretary. VIII. An Account of an extraordinary Ejfetl of Lightning in communicating Magnetifm. Communicated by Pierce Dod, M. T>. F. S. from Dr- Cookfon of Wakefield in York* lhire. IX. A further Account of the extraordinary EffeBs of the fame Lightning at Wakefield. By Dr* Cookfon. Communicated by the fame* <4i ) I. An Account of an Inftrament or Machine for changing the Air of the Room of fickfPeople in a little Time , by either drawing out the foul Air , or forcing in f refit Air ; or doing both fuc~ ce/fvely , without opening Doors or Windows. N. B. The Model of this Machine, made by a Scale of an Inch to a Foot , -was jhewn the Royal So- ciety the thirteenth TAay of June, 1734. By TAr. J. T. Defaguliers, F.R.S. (Vide Tab.) Fig. 1. Eprefents a Cafe DE CB, containing rC a Wheel of 7 Feet in Diameter, and 1 Foot thick ; being a cylindrical Box, divided into iz Cavities by Partitions direfted from the Circumference towards the Center, but wanting 9 Inches of reaching the Center, being open towards the Center, and alfo -towards the Cir- cumference, and only clos’d at the Circumference by the Cafe, in which the Wheel turns by means of an Handle fix’d to its Axis A, which Axis turns in rwo Iron Forks, or half concave Cylinders of Bell- Metal, fuch as A, fix’d to the upright Timber or Standard A E. • From the Middle of the Cafe on the other Side behind A, there comes out a Trunk or fquare Pipe, which we call the Sucking-Pipe ; which is continued quite to the upper Part of the fick Perfon’s Room, whether it be near or far from the Place where the Machine flands, in an upper or lower Story, above or below the Machine. There is a circular Hole in one of the circular Planes of the Machine of E 18 Inches ( 4Z ) 18 Inches Diameter round the Axis, juft where the Pipe is inferred into the Cafe, whereby the Pipe communicates with all the Cavities 5 and as the Wheel is turn’d fwiftly round, the Air which comes from the fick Room, is taken in at the Center of the Wheel, and driven to the Circumference, fo as to go out with great Swiftnefs at the Blowing* Pipe B, fix’d to the faid Circumference. As the foul Air is drawn away from the fick. Rooms, the Air in the neighbouring Apartments will gradually come into the Room through the fmaileft PafTages : Eut there is a Contrivance to apply the Pipes which go to the fick Room to the Blowing-Pipe 8, while the Sucking-Pipe receives its Air only from the Room where the Machine (lands.. By this means frefli Air may be driven into the fick Room after the foul has been drawn out. This Machine would be of great ufe in allHofpi- tals, and in Prifons : It would aifo ferve very well to convey warm or cold Air into any diftant Room ; nay, to perfume it iufenfibly, upon occafion. Fig. 2. Reprefents the Infide of the Flat of the Wheel which is fartheit from the Handle,, and next to the Sucking-Pipe. 1, 2, 3, 4. Reprefents the Cavity or Hole which receives the Air round the Axis, having about it a circular Plate of Iron to hold all firm ; which Plate is made faft to the Wood and to the Iron Crofs that has the Axis in it. ggg-> Denotes, by a prick’d Circle, a narrow Ring of thick Blaokettiog, which (byprefling againfl the outfide Cafe, whilft it is fix’d to the ouefide of the Flat of the Wheel) makes the PafTage into the Wheel tight. _ H H H, is < 4? ) HHH is another Circle of Blanketting, likewife fix'd to the outfide of the Wheel, and rubbing a- gainft the Cafe, that the Air violently driven againft the inner Circumference of the Cafe, may have no way out, but at the Blowing-Pipe at B. There is on the outfide of the other Flat of the Wheel, where the Handle is fix’d, a Ring of Blan- ketting, like HHH, oppofite to it; but none op- pofite to ggg, becaufe the Wood there is not open, but comes home clofe to the Axis. Fig. 3. gives a vertical Seftion of the Wheel and Cafe a little forward of the Axis, drawn by a Scale twice as large as that of the other two Figures. A the Axis fupportcd by the Irons A, a, cyliu- drically hollow’d, except the upper Part, where a Pin keeps in the Axis. BD, the Cafe with the Sucking-Pipe S a. E A, the Prop for one End of the Axis. 1, z, the Opening into the Wheel. gg, the Eminence of the Wood to which is fix’d the fmall Ring of Blanketting. The four black Marks, one of which is near H, reprefcnt the Se&ions of the two other Rings of Blanketting. ( 44 ) II. A Calculation of the Velocity of the Air moved by the new- invented Centrifugal Bellows of 7 Feet in Diameter , and i Foot thicks within , which a Man can keep in Motion with Very little Labour , at the %ate of two ^Revolutions in one Second. Dy J. T. Delaguliers, R ^ 5. WHEN the Wheel revolves upon its Axis, which is performed in this Machine every Revolution in about half a Second, the Air maybe confidered as divided into as many con- centrical Circumferences as there are Particles of Air contained between the leaft and the greateft Circle, confequently the centrifugal Forces will be as the Radii ; that is in an arithmetical ProgrefEon. Ft. Let R = Radius of the greateft Circle 3. 5 r = Radius of the leaft Circle o. 75 m— Radius of the middle Circle 2. 125 == R — r R + r r + = 2 2 v — Velocity or Space defcribed in- a Second in the middle Circle, upon the Supposition that theWheel revolves two Revolutions in a Second. S = Space defcribed in a Second? ^ by the A&ion of Gravity, £ s = ( 45 ) Space that a Particle of Air receding from the Center would defcribe in a Second by the Action of the centrifugal Force at the Circumference of the middle Circle. v v zm : v : : v : s ; therefore =j\ byHuyghens's Rule. Let G and c, exprefs the Force of Gravity* and the centrifugal Force at the middle Circle. Since the Spaces defcribed in the fame Time by the Action of two Forces are as thole Forces S : s : : G : c3 and j G Syr. e Spina Cerv. Aq. Title g. T. 7>\) Spt. Lavend. Co. 3j f bait ft. cum regimme cap. July the Fourteenth, the Purge worked five times ; ihe eat a light Dinner, and was eafy ; but upon walking about the Room, her Head was giddy, and fhe trembled very much, hut when in Bed, fhe was better. I gave her the following Draught at Night going to reft : Aq. Rut# Tuleg. Bryon. Co. d. 3vj. Spt . Corn. C. opt. gutt. 40. Tinff. Cafior . 3j. Sacchar. Albifs. panlit ■- him f hauft . July the Fifteenth lhe complained* when up, of a Numbneft in her Legs, and a Prick- ing in them, like to what happens when the Legs are what we commonly call afleep : Her Appetite was better, and lhe was in every refpeeft amended. She took the following Medicines : Tulv. rad. Valerian Sylv. 3ij. T. Cafior . Ruff. 3j. Afie foetid. 3j. Tinff. Cafior . q.s. f. Maffa Tilular. cujus formeti - tur Tilul. No. 40. of which fhe took four twice a day with a fmail Draught of this Julep : ^ Aq. Ceraf. Nigr: svj. Aq. Rut a. T foe continued near two Hours, but then came to herfelf, and was well that Evening. July the Twenty- ninth the Purge was repeated. Auguft the Sixth ihe complained of a Pain in her Head, Sicknefs in her Stomach, and feme Days before, fhe had a Shew of the Menfes , and had vomited near a Pint of Blood, and was coftive : I then advifed her to take two Spoonfuls of Tin Slur a Sacra , every or every other Night going to Bed, as Hie found it neceflary, and forty of the following Drops : Spt. G G. opt . 3iij. TinSl. Helkb. Nigr . 3 v. to be taken twice a Day in Chamomile-Tea. She took thefe Medicines about three Weeks, which anfwered Expe&ation, and I left her well. I faw her about twelve Months after, and Hie told me. Hie had continued very well ever fince» “ Catalepfis tam rarus affe&us eft, ut credant in- “ ter centum, imo Sexcentos, vix unum Medi- “ cum reperiri, qui Catalepticum aliquem vi- u derit ; ideoque Hiftorise Catalepticorum, fi il occurrant, diligenter annotandae. Sennertus, Med.'Praft. x. r. 30. V. Some ( 54 ) y.. Some Thoughts on the Operation of the Fiftula lacrymalis. By Francis-Jofeph Hunauld, M 2). K % S. Regius Brofejfor of Ana- tomy and Surgery , and Member of the Royal Academy ol Sciences at Paris. Commu- nicated to the Royal Society in a Letter to Tho. Stack, M D. I Omit givingthe Hiftory of the Fijlula lacrymalis , of the different Species of the Diftemper, or the various Methods of treating it, as Things fufficient- ly known ; and fliall only remark, that the Intention In deftroying the Os unguis , and Saccus lacrymalis , through which the Tears naturally deftil into the Nofe, is to procure them a new Paflage thither, by the Hole thus artificially made. Wherefore, in or- der to keep the Sides of this Hole afunder, to pre- vent its filling up, and render the Flelh, which forms its Circumference, hard, and as it were callous, a Tent made of prepared Sponge, &c. is put into this new Paflage, and is continued therein a Month or two. However, this Precaution, notwithftand- ing it happens but too often, that the Tears, in- ftead of keeping the Road prepared for them with fuch Care, flow over the lower Eye-lid, as before the Operation, and occafion a Weeping, which is now become pad Remedy. ’Tis eafy to prove, that thofe very Means, which are ufed after the Operation to make the Tears deftil into the Nofe, are generally the Caufe of the fub- ( 55 ) iubfequent Weeping : For by filling the Wound with fmall Pledgets, and putting a Tent into the Hole that was made, the Orifice of the little common Canal, that ferves to convey the Tears into the Duffus lacrymalis , luffers a Compreflure, and is render’d hard, thick and callous ; whereby, as its Diameter is very fmatl, it is eafiiy flopp’d up. The Contufion made on this little Orifice, and round a- bout it, brings on a Suppuration j after which the Parts coalefce, and the Orifice of this fmall Canal clofes up. The Tus or Sanies , that in the Courfe of the Diftemper flow’d back both through the com- mon Canal, and the fmall Canals, which are a Con- tinuation of the Tunffa lacrymalia , has fometimes eccafion’d Excoriations ; in confequence of which happens a Regeneration of Flefh during the Drefl fings, a fmall matter whereof is fufficient to flop up fuch flender Duds. In fine, thole finall Canals,- through which nothing pafles for a Month or two, that the Dreflings laft, cither clofe by their proper Springinefs, or their Diameters are leilen’d by their fmall Vefiels becoming varicous. ’Tis certain, that Injedions are fometimes made through the Tuntta lacrymalia j but the propelling Force of thefe In- jedions overcomes thofe Refiftances, which the Caule that naturally drives theTears into the ‘VunEia lacrymalia , is not in a Condition to get the bet- ter of. Thus it appears from the Detail of the Accidents I have enumerated, and which generally happen, more or lefs, that while the Artift is endeavouring to preferve a clear Paflage for the Tears into the Nofe, he labours, without defigning it, to flop the Entry ( 5* ) Entry of the upper Part of their Canal. I hope now to make appear, that the beft way to avoid part of thefe Accidents, and keep open the new Canal from the Eye to the Nofe, is precifely to do nothing. This is what Experience has confirm’d mein, and what likewife Theory, well underftood, will give us a clear Conception of. ’Tis a Thing not very eafy to determine, how the Tears, and the Liquid that is continually found on the Surface of the Eye, in order to preferve the Cleannefs and Tranfparency of the Cornea , can pafs through the Ptmila lacrymalia . ’Tis moreover obferved, that when one lies in Bed, this Liquid enters into thofe PunEia lacrymalia , which in that Pofition are higher than the Eye, as well as into the !P tin £la lacrymalia of the oppofite Eye. The Afcent of Liquors in capillary Tubes above the Level, might be propofed to explain this lafl: FacSt. One might alfo in certain Circumftances imagine the Road which the Tears keep, to pafs from the Eye into the Nole, to be a Sy$hon% the Ihort Leg of which is divided into two. ’Tis ftrange that thefe two Ideas, which (trike by their Simplicity, have not been offer’d by any one hitherto. It muff be al- low’d, however, that they are not entirely fufficient to account for the ‘Phenomenon under Confidera- tion. The following Rationale feems to me quite as fimple, and more accurate. The Air prefent at the Orifices of all theDudts, which have any Communication with the Trachea , is by its proper Weight determined to enter them, when the Refiftance happens to be diminilh’d. Thus as, during Infpiration, it pafies through the Mouth and ( 57 ) and Noftrils, fo it likevvrfe enters the Tunffa lacry - malia ; and muft neceflarily carry with if, towards the Punffia lacrymalia and their fmall Canals, the Moifture that lubricates the Surface of the Ball of the Eye, as it mixes with it. Therefore it is eafy to perceive already, that in order to preferve to the Tears their new and artificial Road into the Nofe, one need only commit the whole Care to the con- tinual Paflage of the Air and Tears. ’Tis well known in good Surgery, that Tis very difficult, not to fay impoffible, to effed a re-union in a Part, that ferves as an Emundory to a Liquor conftantly flow- ing to it. Now let us examine, if Nature alone can flop the Hole made by the Operation. It will not be ima- gined, that from the Remains of a bony Lamina , fo thin as the Os Unguis, a fufficient Quantity of offifying Juice can work out to flop it up. The Te- rioftium and Saccus lacrymalis are too much lacera- ted, to think it poffible for them to repair of them- felves what they had loft. Nor will it be believed, that the Membrana pituitaria can eafily fill up the Hole made in it. Thofe are the Parts concern’d in the Operation : But even if they are granted to be more difpofed to a Re-produdion than they really are, ftill the Air and Tears will always be able to preferve themfelves a Paflage into the No fe. Wherefore, after having deftroy’d the Saccus la- crymalis and Os Unguis , inftead of introducing an extraneous Body capable of making the Orifice of the fmall common Canal into the UuSlus lacrymalis become callous, and of drawing on a Suppuration, the Communication between the Nofe and Eye muft be H left ( 58 ) left entirely difengaged, and Liberty by this means be given to Refpiration to make both the Air alone, and the Air mix’d with the Tears, to pafs continu- ally through ir. In fine, the Action of thele Fluids may be alfilted by the Application of Collyriums , and by making frequent Injections into the ‘P unci a lacrymalia ; which, befides the common Effefts that may be na- turally expedted from them, will contribute to pre- vent the Juice, that re-unites the Wound made in the Skin, from over-ftreightening the Canal. VI. Concerning the Caufe of the General Trade- Winds : ©y Geo. Hadley, Effc F. 5. I Think the Canles of the General Trade-Winds have not been fully explained by any of thofe who have wrote on that SubjeCt, for want of more particularly and dillindtly confidering the Share the diurnal Motion of the Earth has in the Produ&ion of them : For although this has been mention’d by fome amongft the Caules of thofe Winds, yet they have not proceeded to lhew how it contributes to their Production ; or elfe have applied it to the Ex- plication of thele Phenomena, upon fuch Princi- ples as will appear upon Examination not to be fufficient. That the ACtion of the Sun is the original Caule of thefe Winds, I think all are agreed ; and that it does ( 59 ) does it by caufing a greater Rarefadion of the Air in thofe Parts upon which its Rays falling perpen- dicularly, or nearly fo, produce a greater Degree of Heat there than in other Places ; by which means the Air there becoming fpecifically lighter than the reft round about, the cooler Air will by its greater Denfity and Gravity, remove it out of its Place to fucceed into it its felf, and make it rife upwards. But it feems, this Rarefadion will have no other Effed than to caufe the Air to rulh in from all Parts into the Part where ’tis moft rarefied, efpecialiy from the North and South, where the Air is cooleft, and not more from the Eaft than the Weft, as is commonly fuppofed : So that, fetting afide the di- urnal Motion of the Earth, the Tendency of the Air would be from every Side towards that Part where the Sun’s Adicn is moft'intenfe at the Time, and lb a N. W. Wind be produced in the Morning, and a N. E. in the Afternoon, by Turns, on this Side of the Parallel of the Sun’s Declination, and a S. W. and S. E. on the other. That the perpetual Motion of the Air towards the Weft, cannot be derived meerly from the Adion of the Sun upon it, appears more evidently from this : If the Earth be fuppoled at Reft, that Motion of the Air will be communicated to the fuperficial Parts, and by little and little produce a Revolution of the Whole the fame Way, except there be the fame Quantity of Motion given the Air in a con- trary Diredion in other Parts at the fame Time, which is hard to fuppofe. But if the Globe of the Earth had before a Revolution towards the Eaft, this by the fame means muft be continually retard- H 2 cd -• ( 6o ) ed : And if this Motion of the Air be fuppofed to arifb from any ACtion of the Parts of it on one another, the Confequence will be the fame. For this reafon it feems neceffary to fhew how tbefe Phenomena of the Trade-Winds may be caufed, without the Production of any real general Motion of the Air weftwards. This will readily be done by taking in the Confideration of the diurnal Mo- tion of the Earth : For, let us fuppofe the Air in every Part to keep an equal Pace with the Earth in its diurnal Motion ; in which Cafe there will be no relative Motion of the Surface of the Earth and Air, and confequently no Wind ; then by the Action of the Sun on the Parts about the Equator, and the Rarefaction of the Air proceeding therefrom, let the Air be drawn down thither from the N. and S. Parts. The Parallels are each of them bigger than the other, as they approach to the Equator, and the Equator is bigger than the Tropicks, nearly in the Proportion of rooo to 917, and confequently their Difference in Circuit about 2083 Miles, and the Surface of the Earth at the Equator moves fo much fafter than the Surface of the Earth with its Air at the Tropicks. From which it follows, that the Air, as it moves from the Tropicks towards the. Equator, having a lefs Velocity than the Parts of the Earth it arrives at, will have a relative Motion contrary to that of the diurnal Motion of the Earth in thofe Parts, which being combined with the Motion to- wards the Equator, a N, E. W ind will be produc’d on this Side of the Equator, and a S.E. on the other. Thefe, as the Air comes nearer to the Equator, will become Wronger, and more and more Eafterly, and be ( <5 1 ) be due Eafl at the Equator itfeif, according to Ex-, perience, by reafon of the Concourfe of both Cur- rents from the N. andS. where its Velocity will be at the rate of 2083 Miles in the Space of one Re- volution of the Earth or Natural Day, and above 1 Mile and j in a Minute of Time ; which, is greater than the Velocity of the Wind is fuppofed to be in the greateft Storm, which according to Dr. T)erham'$ Obfervations, is not above 1 Mile in a Minute. But it is to be confidered, that before the Air from the Tropicks can arrive at the Equator, it muft have gained fome Motion Eaft ward from the Surface of the Earth or Sea, whereby its relative Motion will be diminifhed, and in leveral fucceffive Cir- culations, may be fuppofed to be reduced to the Strength it is found to be of. Thus I think the N.E. Winds on this Side of the Equator, and the S.E. on the other Side, are fully accounted for. The fame Principle as neceffarily extends to the Produ&ion of the Weft Trade-Winds without the Tropicks ; the Air rarefied by the Heat of the Sun about the Equatorial Parts, being re- moved to make room for the Air from the cooler Parts, muft rife upwards from the Earth, and as it is a Fluid, will then fpread itfeif abroad over the other Air, and fo its Motion in the upper Regions muft be to the N. and S. from the Equator. Being got up at a Diftance from the Surface of the Earth, it will foon lofe great Part of its Heat, and thereby acquire Denfity and Gravity fufficient to make it approach its Surface again, which may be fuppofed to be by that Time ’tis arrived at thofe Parts be- yond the Tropicks where the wefterly Winds are found. ( 6t ) found. Being fuppos’d at firft to have the Velocity of the Surface of the Earth at the Equator, it will have a greater Velocity than the Parts it now arrives at ; and thereby become a wefterly Wind, with Strength proportionable to the Difference of Ve- locity, which in feveral Revolutions will be redu- ced to a certain Degree, as is faid before, of the Eafterly Winds, at the Equator : And thus the Air will continue to circulate, and gain and lofe Veloci- ty by Turns from the Surface of the Earth or Sea, as it approaches to, or recedes from the Equator. I do not think it neceflary to apply thefe Principles to folve the Phenomena of the Variations of thefe Winds at different Times of the Year, and different Parts of the Earth ; and to do it would draw this Paper into greater Length than I propofe. From what has been faid it follows : Firft, That without the AfTiftance of the diurnal Motion of the Barth, Navigation, efpecially Eafterly and Wefterly, would be very tedious, and to make the whole Circuit of the Earth perhaps impracti- cable. Secondly , That the N. E. and S, E. Winds within theTropicks muft be compenfated by as much N.W. and S. W. in other Parts, and generally all Winds from any one Quarter muft be compenfated by a contrary Wind lome where or other ; otherwTife ibme Change muft be produced in the Motion of the .Earth round its Axis. VI L An ( <3 ) VII .An Account of the Jeveral Earthquakes which have happen’d in New-England, jince the firjl Settlement of the Englifli in that Country , efpecially of the lajl, which happen’d on O&ob. 29, 1727. Communicated to the Royal Society £jPaul Dudley, Effa F.^S. in a Letter to the Secretary. * % SIR , Roxbury, Nov. 13, 1717. YOU will doubtlefs from the publick Prints have an Account of the terrible Earthquake that happen’d here on the 29th of Ottoffer lafl in the Night j however, I think it my Duty, and hope it will be acceptable to the Society, to have the Par- ticulars from one of their own Members. That this Country is fubjed. to Earthquakes is certain ; and we have been often admoniihed of it fince the firft Settlement of the Englijh here, which now is about an hundred Y ears. Our printed Books and other good Records have taken notice of the mod remarkable that have happen’d. The firft and moft confiderable Earthquake that I find in our Hiftory, and which feems to have been much like our laft, was on the Second of June, 1638. This is faid (by the Author, who was a Gentleman of Character and Probity) “ to have been a great and * See likewife an Account of this fame Earthquake in TranfaFU N 0 409. p. 1 24, fearful ) ( 64 ) «« fearful Earthquake : It was heard before it came, u with a rumbling Noife or low Murmur like unto u remote Thunder ; it came from the Northward, “and palled Southward:, as the Noife approached * near, the Earth began to quake ; and it came at length with that Violence, as caufed Platters, « Tyles, &c. to fall down ; yea, People were afraid of their Houfes. The Shock was fo violent and “ great, as that fome being without-doors, could “ not ftand, but were fain to catch hold of ic Ports, &c. About half an Hour after, or lefs, “ came another Noife and Shaking, but not fo loud i4 nor ftrong as the former : Ships and Veffels in €t the Harbour were fhaken, In 1658, there was another very great Earthquake, but no Par- ticulars related. In 1660, January 31ft, a great Earthquake. In 1661, January 26th, about Six o’clock at Night, there happen’d an Earthquake, which fliook the Houfes, cauied the Inhabitants to run out into the Streets, and the Tops of feveral Chimnies fell down. About the Middle of the fame Night was another Shake ; alfo in the Morning following the Earth Ihook again. In 1665 , and in 1668, and 1669, the Earth was fhaken 5 fince which \$e have alfo had feveral Tremors of the Earth, but not very confiderable ; fo that our People began to hope we fhould hear no more of them. But we are now convinced to purpofe, that Ncw-England is ftill liable to the fame Terror and Defoiation that other Countries are from thefe extraordinary Motions of the Earth I now proceed to give the bert Account I can of our late terrible Earthquake, which has fo juftly amazed ( 6s ) amazed and terrified the Inhabitants from one End of the Country to the other. The firfl Thing I ihall begin with is to give a fliort Account of the Weather or Seafon preceding the Earthquake : Our Winter in January and February was very moderate, and excepting a few cold Days, the Weather was plea- fant, and no great Froft in the Ground. In the be- ginning of March we had a great deal of Snow, and lome cold Weather, which foon went over ; and on the nth Day, 15* Minutes after Four o’Clock, the Sun was eciipfed about five Digits, as near as I could make it without an Inftrument • after which to the End of the Month we had pleafant Weather, Rain at times, and once we had Thunder and Light- ning. April for the moft part had fair pleafant Spring Weather, and a plentiful Rain in the begin- ning and latter end of the Month. The Beginning of May was alfo pleafant Weather ; the 9th, 10th, and 13 th a great deal of Rain : The 1 8th a white Frofl : 24th and 25th cold Weather ; from thence to the End of the Month very dry. The Beginning of June the fame ; abundance of Thunder, and Lightning at times during the whole Month. In July alfo, though we had fome Show ers in different Places, yet in general it was a very dry Seafon, and a great deal of Thunder and Lightning alfo this Month ; the three laft Days of it fo violent hot, that there was no working or travelling by Day, or Beeping by Night : The Beginning of Augujl was alfo exceeding hot, and in particular the firfl Day at Night from the Evening to Midnight we had a con- tinued Corufcation or Lightning all round the Hori- zon ; the like fcarce ever remember’d : it was truly I terrible. ( « ) terrible^ though the Thunder was not fevere. Dry Weather continued to the iothf and then we had a plentiful Rain all over the Province, but our hot Weather held on to the End of the Month; and till about the Middle of September we had very hot Weather : So that take it all together, 1 have never known fa much hot Weather in any one Summer in my Time On the 16th of September we had iuch a violent Storm from the North-Eaft, as was never remember’d, f°r the Fiercenefs and Strength of the Wind ; it blew down Houfcs, Barns, and an infi- nite Number of Trees in our Orchards and Woods ; a great deal of Rain alfo then fell. In the Month of October , preceding the Earthquake, we had a pretty deal of cold Weather ; on the 2 3d a great deal of Rain, with the South Wind ; on the 25th at Night, a hard Fred ; on the 26th winterifh Wea- ther, and a little Snow ; 28th cold, the Wind at North-Well: : Lord’s- day 29th, the Wind at North- Weft, though little of it* but cold ; in the Evening quire calm and a dear Sky. By this fhort Journal of the Weather the Learned will be able in feme rneafure to fay, how far our Earth might be difpos’d to, or prepar’d for the Earth- quake that followed-; firft by a longT continued Brought and extreme Heat, whereby the Earth be- came more porous, and abounded with Exhalations or Vapours inflamed, and which afterwards being fhut up by the fucceeding great Rains and Froft, and thereby hinder’d from an ordinary and eafy Paflage through the Pores and common Vents of the Earthj worked fb much more forcibly and ter- ribly upon one another. But Philofophers not be- ing a ( ^7 ) ing yet agreed on the Nature or certain Caufes of Earthquakes, I pafs bn to the fecond Thing which I propofed to enquire into, viz. what Kind or Sort of Earthquake ours was. Gilbertus Jacchaus in his Infiitutmm Phyjica, cap. Terra Mot us di~ ftinguifhes Earthquakes into four Species ; where- in he agrees with Arijiotle and Tltny, with whom the firft Species is a Shake or Trembling, and by them liken’d to the fliaking Eit of an .Ague, I can- not yet hear of any Breach or Opening of the Earth, through the whole Extent of our Earthquake. It has been faid by feme that were abroad, that the Earth fenfibly rofe up, and fo Tank down again ; but I much queftion the Truth of it ; for if there had been any fuch Succuftion to raiie the Earth to any confiderablc Height, the Houfes would certain- ly have tumbled down, or the the Exhalation forced its Way by fome Breach. Nor was our Motion of the Earth that which Ariftotle and ‘Pliny call a a Pulfe or an intermittent Knocking, but one con- tinued Shake or Trembling ; and therefore muft be ranked under the firft Species, viz. a Tremor or Shake, without altering the Pofition of the Earth, and left all things in the fame Poflure in which it found them, except the falling down of the Tops of fome Chimnies, Stone Walls, &c. without doors ; Dilhes and fome other Things within doors 5 which I fhall obferve when I come to Ipeak of the Degree of the Shake. That our Earthquake was of the firft Species is alfo proved from the Sound that accompanied it, fince tremulous and vibrating Motions are proper to produce Sounds which brings me to the third I 2 Par- ( 6 8 ) Particular, viz. the Noife or Sound that accompa- nied or immediately preceded our Earthquake. This indeed was very terrible and amazing ; though I am apt to think it was thought more confiderable by thofe within doors, than fuch as were without in the Air. Some of our People took this Noile to be Thunder ; others compared it to the Ratling of Coaches and Carts upon Pavements, or frozen Ground. One of my Neighbours liken’d it to the {hooting out of a Load of Stones from a Cart under his Window. For my own Part, being perfectly awake, though in Bed, I thought at firlt my Ser- vants, who lodged in a Garret over my Chamber, # were haling along a Trundle-bed : But, in truth, the Noife that accompanies an Earthquake feems to be forms fui generis, and there is no delcribing ft. This Noife, as amazing as it was, in an Inftant of Time, as one may fay, was fucceeded by a Shake much more terrible. My Houfe, which is large and well built, feemed to be fqueezed or prefs’d up together, as though an hundred Screws had been at work to throw it down • and fliook not only every thing in the Houfe, particularly the Bed under me, but the Building itfelf, and every Part of it fo violently for the Time, that I was truly in great Fear it would have tumbled down, and my Family perifhed in the Ruin : But through the great Power and Mercy of God, we received no Harm. ’Tis impoflible to de- fcribe the Terror and Amazement that an Earth- quake carries with it ; and though I had never felt one before, yet I was thoroughly convinced what it was at the very Time. The ( ( <>9 ) The next Thing I proceed to is the Degree or Greatnefs of the Shake. This will be beft known from its Effeds. I have already mention’d the falling of the Tops of Chimnies, DiJhes from Shelves, China W are, Doors unlatched, Bells jangling, Eeds trembling, Chairs moving, &c. A Country Farmer tells me, he had forty or fifty Rods of Stone Wall thrown down by it : And though I acknowledge thefe Effeds are not very confiderabie, yet I cannot but be- of opinion, that ©ur Earthquake for its Species was as violent and terrible as any we meet with in Hiftory : And had the Tremor continued a Minute longer, or been re- peated in the like Degree, our Houles had doubtlefs been many of them overthrown. One of my Neighbours that was walking home at the very In- flant, tells me, the Noife firft brought him to a hand, and that during the Shake, the Earth trembled fo under him, that he was fo far from attempting to continue his Walk, that it was as much as he could do to keep upon his Legs, and expeded every Mo- ment the Earth would have open’d under him. Another that was riding home, fays, that upon the Noife the Earthquake made, his Horfe flood flock flili, and during the Shake, trembled to that degree, that he thought he would have fell under him. Our Houfe-Dogs were alfb feofible and affeded with the Earthquake ; fome of them barking, others howling, and making flrange and unufual Noifes. Nor was our Earth only affected with this Shake, but the Sea alfo in our Harbours, and our Shipping final! and great much moved with it. I don’t fhppofe it ever hap- pens that Earthquakes of this kind, of any Extent, ( 70 ) are equal or alike in all Places ; and accordingly I find by Information from our feveral Towns, that the Shake was much more moderate in fome Parts of the Country than others. The Time and Duration of the Shock Our Bofton News-Papers fix the Time at about forty Minutes after Ten o’ Clock at Night : My own Watch was not lo much by five Minutes ; but the Clocks of the Town might be trued. The fird Day of November' at Midnight, which was thnse Days after the Earthquake, the Moon changed. As to the Duration of the Shock itfelf Whatever others may print or have printed, 1 can by no means fup- pole it exceeded the Space of a Minute, if it was io long ; I mean the fird and great Shock ; after which in the fame Night we had four or five more lefler Tremors ; and at fundry times fince the Earth has trembled in different Places (even to this 13th of November) but without any confiderable Effecds or Extent. The lad Thing I have to mention is the Courfe and Extent of the Earthquake, Bofton , the Metro- polis of this Province, lies in the Latitude of 41 Deg. z$ Min. North, and 4 Ho. 43 Jviin. to theWedward of Jftondon ; as the Longitude between the two Places was fettled by Mr .Thomas Brattle of this Country, and Mr. Hodgfon of London many Years fince : And making Bofton a Center, we have a certain Account that our late Earthquake was felt in Kennebeck River to the Eadward, and at Philadelphia to the Wed- ward, one hundred and fifty Leagues didant one from the other upon a W. S> W. and E. N. E. Courfe neared : and no Part of the intermediate Country, that ( 71 ) that I can under (land, efcaped the. Shake ; the Colonies R bode* Ijlandv ConneEtjcu ^aqd -New- York , that lie between us and Penjylvania being all af- fected, though not equally, particularly at Phila- delphia they write, a final l Shock. As to the op- posite Line or Latitude, as we may cal! it, of ti e Earthquake, we have two noted Hands to the South - Eaft, cal! ed Nan t ucket an d 'Martha rtf ineym:d^ about * ninety Miles diftant from Bojion , and the firil named lies about twelve Leagues into the Sea, diftant from the main Land ; both thefe I Hands had the Earth- quake. Our Englijb Settlements to wards the North- Well:, don’t yet exceed forty or fifty Miles from Bojton \ but they all of them had this Earthquake very fenfibly ; and how far it might reach beyond them towards Canada , we cannot yet fay. By this Calculation 1 believe it will be found, that our Earth- quake was of a much greater Extent, than any yet taken notice of in Hiftory : As to the Courle of the Earthquake, or where it firft began, I am not yet able to determine by all the Information I can get : For they write from Rhode -IJland, Connecticut , New-Tork , and Philadelphia , all to the Weftward, that it was between the Hours* of Ten and Eleven at Night. The fame again is affirm’d from Pifcataqua , Cafco-Bay, and Kennebec k River, which are to the Eafhvard : So that as yet it feems to me, that the Earth* through the whole Extent aforefaid, was fliaken very near at the fame Time. Some of my Neighbours are pofitive, that it came from the South- ward ; while others again are confident, that where they wer£, it came from the North. Bat this is not to be wonder’d at, fmee, as I fuppofe, the fubtesr- raneoas ( 71 ) fubterraneous Channels or Caverns, through which the Exhalation paffes, are not in any one continued ftreight Line, but branched out, and running upon ail Points of the Compafs, especially in fuch a vaft Extent of Land, I am now come to the i8th of November , and having met with fome further Particulars omitted in the preceding Account : I fhall throw them into a Pofticript. A Neighbour of mine, that has a Well 3 6 Feet deep, about three Days before the Earthquake, was furprized to find his Water, that ufed to be very lweet and lympid, (link to that degree, that they could make no Uie of it, nor fcarcc bear theHoufe when it was brought in ; and thinking fome Carrion was got into the Well, he fearched the Bottom, but found it clear and good, though the Colour of the Water was turned wheyifli or pale. In about feven Days after the Earthquake, hisWater began to mend, and in three Days more return’d to its former Sweet- nefs and Colour. Iam alfo very credibly inform’d, that feveral Springs and good Watering-Places were fome of them lower’d, and others quite funk and loft with the Earthquake. A worthy Divine in a Town about twenty Miles diftant from B oft on , allures me, that immediately after the Earthquake, there was fuch a Stink or ftrong Smell of Sulphur, that the Family could fcarce bear to be in the Houfe for a confiderable Time that Night. The like is confirmed alio from other Places. Perfbns of Credit do alfo affirm, that juft before, or in the Time of the Earthquake, they perceived Flalhes of Light. A Gen* ( 73 ) A Gentleman of Probity, from Newbury^ a Town firuate between thirty and forty Miles to the N. N. E. of Bcjlon , writes word, that at forty Rods diftance from his Houfe, there was a Fifiure of the Earth, and near twenty Cart-Loads of fine Sand thrown out where the Ground brake, and Water boil'd out like a Spring, and mixing with the Sand, made a fort of Quagmire ; but at the Date of his Letter, which was the 2,1ft current, the Spring was become dry, and the Ground doled up again. Since the Receipt of this Letter, I underftand, that the Ground where this Sand is thrown up, and round about it for a confiderable Diftance, is a folid Clay for twenty or thirty Foot deep, and nothing like Sand ever to be found there before ; fo that the Exhala- tion forced this great Quantity of Sand through a very deep Stratum of Clay. I am alfo very well latisfied, that the Earthquake was more violent in the Towns to the North and North-Eaft of Bojlon , than in thofe to the Southward and Weft ward ; and in fome of them that are rocky, the Earth Ihook but a few Days fmce. If any thing further worth communicating Ihouid hereafter offer itfelf, I lhall tranfmit it : In the mean time I hope what I have fent, will be received by the Society with their ufual Candor and favour- able Allowance, from their and your Very affeftionate and humble Servant , K Paul Dudley. VIII. An ( 74 ) VIII. An Account of an extraordinary EjfeH of Lightning in communicating Magnetifm. Communicated by Pierce Dod, M. D. F. 5^. S'. from Dr. Cookfon of Wakefield in York- shire. ATradefman in this Place having put up a great Number of Knives and Forks in a large Box, fome in Cafes or Sheaths, and others not, of dif- ferent Sizes, and of different Perfons making, in order to be fent beyond Sea ; and having placed the Box in the Corner of a large Room, there happen’d a fudden Storm of Thunder, Lightning, &c. by which the Corner of the Room was damaged, the Box fplit, and a good many Knives and Forks melted, the Sheaths being untouch’d. The Owner emptying the Box upon a Counter where fome Nails lay, the Perfons who took up the Knives, that lay upon the Nails, obferved that the Knives took up the Nails.. Upon this the whole Numbers was try’d, and found to do the fame, nay, to fuch a degree as to take up large Nails, Packing-Needles, and other Iron Things of confiderable Weight. Needles or other Things placed upon a Pewter-Difh, would follow the Knife or Fork, though held under the Difli, and would move along as the Knife or Fork was moved ; with feveral other odd Appearances, which I won’t now trouble you with, only this, that though you heat the Knives red-hot, yet their Power is ftill the fame when cold. - You ( 75 ) You may be allur'd of the Truth of this, having myfelf made a good many Trials of the Knives and the Forks : How they came by this magnetick Power, or how Lightning fhould be capable of com- municating luch a Power, is the Quare, Decern, 6th, 1712. IX. A further Account of the extraordinary EffeEls of the fame Lightning at Wakefield, ©y Dr. Cookion. Communicated hy the fame. THIS Storm of Thunder and Lightning hap- pen’d the latter End of July , 1731. and not only broke the Glafs and Iron Frames of the Crofs- Chamber Windows, but at the fame time fplit fome Studds in the Corner of a Wood-Houfe ; and paf- fing into a Room, fplit likewife a large Deal Box, which flood in the South Corner of the Room, where the Lightning enter’d, and difperfed a great many Dozen of Knives and Forks, which were put up in the Box, all over the Room. Upon gathering up thefe Knives and Forks, fome of them were melted, others fnapp’d in funder ; others had their Hafts burnt ; others their Sheaths either fmged or burnt • others not ; But what was mod remarkable, upon laying them on a Counter where there were Iron Nails, Rings, &c. it was ob- ferved, that when any of them were taken up, there K 2 hung ( 76 ) hung a Nail or Ring at the End of each of them : molt of them were try’d, and found to do the fame ; but little further Notice being taken of them at that Time, they were thrown afide as damag’d Goods. Some Difcourfe concerning the Effeds of Thun- der and Lightning happening to be the Subject of Converfion in a Company, where the Owner of thele Knives was not long ago, he told them what had happen’d at his Houle, and particularly to the Knives and Forks ; and being ask’d whether he had any of them left, laid that he had ; and upon try- al it was found that a good many of them were pollefs’d of this magnetick Virtue. Hearing of this, I went and found what was re- lated, and what I fent you an Account of before, ro be Fad-, and have now fent you a couple of Knives and Forks, one for yourfelf, another for the Royal Society. The Whittle-Knife, with the Box-Handle, is that which I would have you prefent to the Society ; ’tis an excellent one, and one of the belt : 1 had thought to have kept it myfelf ; but if it will be ac- ceptable to that famous Body, it will be much more agreeable to me. They will perceive that it has been ufed pretty much j and the Owner’s Son, who gave it to me, told me, that he has made life of it for almoft a Year and an half to all manner of Pur- poles ; notwithllanding which it Hill retains the mag- netick Virtue to an extraordinary Degree. The Situation of the Room, Pofition of the Box and Knives, and Diredion of the Lightning, may pollibly contribute to a fuller Idea of the Matter : Ilhall ( 77 ) I'fliall therefore prelume to give a Plan of them, an Horizontal one, and fubmit it and the following Quarks to theConfideration of that Learned Body. A. The South Angle of the Room where the- Lightning enter’d. B. The Diredion of the Lightning. C. The Polar or Magnetick Line. D. The Box with the Knives lying in a Diredion parallel to the longer Sides of the Box. Quare , Whether the Knives and Forks lying in fuch a Diredion as either to coincide, or make but an acute Angle with the magnetick Line, might any ways contribute to their imbibing this magnetick Virtue •, fince a Bar of Iron placed in luch a Di- redion, lhall in a fmall time receive a tranfient Po- larity, and if it continue a long time in that Pofi- tion, a fix’d and permanent one? Quare, ( 78 ) Gjh/ere, Whether the Knives and Forks lying in fuch a Pofition, and being violently heated by the Lightning, might not, as they cool'd, ftrongly im- bibe this magnetickVirtue ; fince a Bar of Iron heated and placed in a certain Dire&ion to cool, will fooner imbibe this Power than in the lame Diredtion cold ? Qutere, The Polarity of the Compals has been alter’d by Lightning, as it is to be feen in the ‘Philo - fophical TranfaUtums : Now how Ihould Lightning be capable of communicating liich a Power in this Cafe, fince it is plain that it has taken it away in another ? FINIS. LONDON: Printed by W. Innys and R.Manbv, Printers to the Royal Society, at theWefl End of St. Pauls. MDCCXXXVI. -1 J.MyruteJc. Numb. 438. PHILOSOPHI CAL TRANSACTIONS For the Months of July, Auguft and Septem. 173 The CONTENTS. I. The Defcription and life of an Arithmetical Machine invented by Chriftian-Ludovicus Gerften, F. % S. Frofeffor of Mathematicks hi the Unt’Verfity of Gieflen. In/cribed to Sit Hans Sloane, Fart* Frefident of the Royal Society. II. Of the Figure of the Earth, and the Variation: of Gravity on the Surface^ . Did. de Revillas, egali Societati communicaVit Tho. Dere- ham ’Bart . E RRATA for RhilofophicalTr an factions, N® 437- PAge 4 6. line 3. for R — r road R-4-r. Line 8. for Preffure read Velocity- Lin. 9. forR — r read R + r, in both Places. Lin. 10. for R— r read R + r. L O N T) O N: Printed by W. I n n y s and R. M a n b y, Printers to the Royal Society , at theWeft End of St,Taul’s> KDCCXXXVI. ( 79 ) I. The Defcription andXXk of an Arithmetical Machine invented by Chriftian-Ludovicus Gerften, K % S. Trofeffor of Mathematic ks in the UniVerjity of GiejOfen. Infcribed to Sir Hans Sloane, Bart. < Vrejldent of the Royal Society. [See Tab. Fig. 1,233,4,5.] SIR, BEING at prefent on the Point of returning Home, I think myfelf obliged before my Departure, to return my humble Thanks to that Learned Body the Royal Society , over which you prefide, for the Honour they have lately done me, in chufing me a Member ; and to make a grateful Acknowledgment to you in particular, for the many Favours and Civilities, which, accord- ing to that amiable Character of Benevolence to all Strangers in general, you have been pleafed to be- llow on me. It is now a Duty incumbent on me to communi- cate to the Royal Society from time to time any thing new and curious, which may fall in my way : Therefore I now lay before them a Draught and De- fcription of an Arithmetical Machine, which I in- vented about twelve or thirteen Years ago. Sir Samuel Morland was, for ought I know, the firft who undertook to perform Arithmetical Opera- tions by Wheel-work. To this end he invented two different Machines, one for Addition and Sub - JlraSlion , the other for Multiplication , which he publilhed in London , in the Year 1 673, in J mail L Twelves . ( 8o ) Twelves. He gives no more than the outward Figure of the Machines, and fhews the Method of working them. But as by this every one, who has any Skiil in Mechanicks, will be able to guefs, how the inward Parts ought to be contrived ; fo it can- not be denied, that thefe are two different Machines, independent of one another 5 that the laft, which is for Multiplication , is nothing elfe but an Appli- cation of the Neipperian Bones on flat moveable Disks ; confequently that his Invention alone is not fit to perform juftly all Arithmetical Operations. After him the celebrated Baron de Leibnitz , the Marchefe Toleni , and Mr. Leupold took this Un- dertaking in hand, and attempted to perform it after different Methods. The firft publifhed his Scheme in the Year 1709, in the Mifcellanea Berolinenfia , but then he gave only the outward Figure of the Machine. Signor Foleni communicated his, but explaining at the fame time its inward Conftrudtion, in hi sMifcellanea of the fame Year, 1709. Mr. Leupold's Machine, together with thofe of Mr. de Leibnitz and Signor Toleni , were inferred 'mhisTheatrum Arithmetico- Geometricum , publifhed at Leipzig in 17x7, after the Author’s Death, yet imperfedt, as it is owned in the Book itfelf. Befides thefe, I learned from feveral French Journals, that Charles Fafcal invented one, which however I never had the fight of.* * The Defcription of this Machine is fince printed by M . Gallon in his Colle&ion of Machines and Inventions approved by the Academy of Sciences at Paris (publifhed in French at Paris, 1735. in Quarto, in Six Tomes) in Tom. IV. p. 137 ; and likewife another by Al. Lefpine , Tom , IV. p. 131 3 and three more by Al, Hellerin de Boijlijj'andeau , lorn, V. p. 103, nifC? J2T * I took ( 8i ) I took the Hint of mine from that of Mr. de Leibnitz which put me upon thinking how the inward Structure might be contrived : But as it was not poiTibie for me to hit upon the original Ideas of that Great Man, an exaCt Enquiry into the Nature of Arithmetical Operations furniflied me at laft with others, which I exprelTed in a rough Model of Wood, and fhewed to fome Patrons and Friends, who encouraged me to have another made of Brals : But the want of an Artificer, able enough to execute my Ideas, made me delay it till the Year 1725* ; when having fpare Time, and finding an Inclination to divert myfelf with Mechanical Operations, I fet about it, and finilhed the whole Work, fitted to a Reckoning not exceeding feven Places. And in \ December of the fame Year, I had the Honour to lay this Machine before my Sovereign, the prefent Landgrave of HejfencDarmftadt^ and the Hereditary Prince his Son, to whom I demonftrated the Me- chanifm of the whole Invention. I own that the gracious Reception it met with from both their HighnelTes, as well as the exprefs Recommendation of Mr. de Wieger , one of the Prince’s Privy-Council, would have been powerful Inducements for me to have publifh’d at that time an Account of my Machine ; but I was checked by the Uncertainty I was under, whether poflibly Mr. Leibnitz? s Machine had not been brought to its Perfection ; in which cafe there is no doubt but the Operation of his Machine, if it would really per- form what is promifed in the Defcription, would have been eafier than mine, and confequenrly pre- ferable to it, provided its Structure did not prove L z too ( «» ) too intricate^ nor that the working of it took up too much time. But at prefent, being certain that none ol Mr. Leibnitz's Invention has yet appeared in fuch a State of Perfection, as to have anfwer’d the Effect propofed, and that thefe of mine differ from all thole mentioned above, fancying at the fame time, that Perfons who underftand Mechanicks, will find it plain, practicable, and exact, in regard to its various Effects, I make no Scruple to prefent to the Royal Society this Invention, the Produt of my younger Years indeed, but now with the feveral Amend- ments 1 have fince added to it, as a Mark of the Refpect and Veneration 1 have for this illuftrious Body. The Particulars of it are as follows : There are as many Sets of Wheels and moveable Rulers as there are Places in the Numbers to be cal- culated. Fig. i. lhews three of them, by which one may eafily conceive the reft. A A lhews the firft Syftem or the Figures of Unites, according to its inward Stru&uie. B B and C C fhews the fecond and third Syftem, viz. of Tens and Hundreds, ac- cording to their outward Form. We lhall firft con- fider A A ; where ccaoc is a flat Bottom of a Brafs Plate, which may be skrewed on either upon a par- ticular Iron Frame, or only upon a ftrong Piece of Walnut-Tree, doubled with the Grain crofs’d. In this Syftem are two moveable Rules gggg, and kkk , the firft of which I call the Operator, the fecond the Determinator. There are befides two Wheel- Works, the upper one is for Addition and Sub - Jlra£lion} the lower one lerves for Multiplication ( 8? ) and 'Divijlon. The upper one is provided firfl with a, an oblique Ratchet-Wheel of io Teeth, of what Diameter you pleafe, on which, however, depends the Length and Breadth of the Syftem itfelf. This Wheel has a Stop r, with a depreffing Spring t\ Under the Wheel a is a fmaller Wheel b of the fame Shape : Both a and b are rivetted together, and fixed on a common Axis. Under the Wheel b lies a third/, which is a common Tooth-Wheel of 20 or more Teeth, according as one pleafes : It is larger than b , and fmaller than a , turns about the fame Axis with the other two above it, and upon it is fixed a Stop c, with the Spring d , which catches the oblique Teeth of the Wheel b. Immediately under this Wheel lies the upper Part of the Opera- tor, which may be bell made of Iron or Steel. The ’ Wheels may all be of Brafs, except the upper one. The Operator is of the fame Thicknefs all over, and in its upper Part are fixed as many round Steel Pins as there are Teeth in the Wheel f which are to catch the Teeth of this Wheel, and move it backwards and forwards. The Height of thofe Pins ought exactly to anfvver the Thicknefs of the Wheel/ The Axis of theW7heels a and b is kept perpendicularly by the Bridget, which is skrewed to the Bottom, as appears by the Figure. The Operator gggg moves on the Side, above, and in the Middle in two Brafs Grooves / i i and q q ; about D it jets out, on which Projection a Piece of Iron h muft be well faftened, having a ftrongPin, on which the Handle z> fits, as you fee in the SyfiemB B. The Side D itfelf Aides in another Groove s s, and in its inner Corner joins to it the Determinacor k kk3 of the ( S4 ) the fame Thicknefs with the Operator, the Shape of which is fufficiently exprefled in the Figure. This Aides alfo up and down, on the one Side in the Groove s s, and v on the other Side, where it is fmalleft, in a fmall Piece of Brafs %, and where it is broadeA, above in the Operator itfelf* which is either hollowed out into another Groove, or filed off obliquely. The Aiding Part of the Determina- tor ought afterwards alfo to be fitted to it. Its chief Part is the Lock (landing perpendicular on irs broad Part. I have drawn it leparately in Fig. 4. B B, in which tffie Aiding Stop cy which is prefied down by its Spring d , but raifed by the Tricker aa. That Tricker has a Pin b , on which is skrewed on the fmall Handle 1 1 (Fig* 1. in the Syftems BB and CC.) In the Brafs Bottom A A (or act Fig. 1.) you muft file out 10 Ratchet-Teeth or Kerfs, purpofely for the Stop of this Lock, or, which is better, you may infert into the Brafs Bottom a fmall Piece of Iron filed out according to this Figure. The Partition and Length of thefe Rachet-Teeth in the Bottom muft fit exa&ly with the Circumference of the Wheel/, (Fig. 1. Syftem A A,) with this Direction, that if the Lock is kept by the uppermoft Tooth in the Bottom, the Operator cannot be moved at all ; but when by prefting down the Tricker a a, ( Fig. 4 ) the Determinator is flioved down, and is flopp’d by the fecond or third Tooth in the Bottom, the Operator being alfo drawn down as far as the Determinator permits, makes the Stop c ( Fig. 1. Syfl. A A) Aide over ion Teeth of the fecond Wheel b ; confequently the fame Stop c, muft Aide over 9 Teeth, when the Lock of the Determinator will ( ) will (land before the ioth Tooth in the Bottom, and the Operator is pulled down fo far. If you have a mind to apply thefe Rachet-Teeth on the Outfide of the Plate o 0, that covers the Whole, you may fit the Lock to it accordingly : But in this Cafe the Covering* Plate mud be well fattened. For Multiplication and TDivifion, there is pro- perly in each Syftem but one Wheel, like wife di- vided into 10 Rachet-Teeth, on which is rivetted the round Plate /, on which are engraved the Num- bers or Figures : Thefe Wheels have no occafion for any Bridge, but may turn about a ftrong Pin of Steel, lolder’d to the Bottom. TheRachet-Wheel^^ refts on one Side upon the Determinator, and upon a Piece of Brafs of the fame Thicknefs, to which are fattened the Stop n> and the Spring /. Upon the Operator is another Stop 0, with its Spring ; which Stop has a fmall Arm at 0, which is checked by a fmall Studd, to hinder the Spring’s prefling the Stop lower down than it ought : By which Contrivance it is fo order’d, that after the Operator is Aid down fo far as it can go, in being Aid up again, the Stop 0 will turn but one Tooth of the Wheel m rn . The round Plate l has in its Middle a fmall hollow Axis, on which are turned firft two Shoulders, and then a Skrew : This Skrew in the Syftem A A is an ordinary one, winding from the left to the right. But as each Syftem ought to have Communication with the preceding one, though not with that which follows ; to this end a projecting Tooth of Commu- nication made of Steel $ is rivetted to the upper Plane of the uppermoft Wheel a. This Tooth 2 mutt ( 16 ) muft be placed exa&ly on the Point of a Tooth of the Wheel, and by its Revolution catches and turns every time but one Tooth of the uppermoft Wheel of the preceding Syftem, Aiding over the following one (if there be any) without touching it. For this reafon the Planes of the Brafs Bottoms in all the Syftems ought to incline a little. This will belt ap- pear from the Vertical Sedtion, Fig.x . (cut in Fig . i. in the Dire&ion from h to/) in which a is the Brafs-Bottom, HH the Wood-Bottom, g the Ope- rator, i the Groove, f the third common Tooth- Wheel, b the fecond Wheel, a the firft or upper- moft Ratchet-Wheel, e the Bridge, © the Covering- Plate, and $ the Tooth of Communication. I have reprefented all thele Pieces of one Thicknefs ; but every Artift will eafily know where to add or take off Fig. 5. ftiews the Plan and true Difpofition of the Teeth in the feveral uppermoft Wheels ; that is to fay, The Parallel Lines AB and CD ought always to cut the Brafs Bottoms (which are like one ano- ther in Length and Breadth) length-wife into two equal Parts : Then the perpendicular Interfedlion E F will determine the Centers a and b , of the two Wheels H and G. The Stop r ought every time to hold its Wheel in fuch a manner, that the Points of two Teeth coincide with the Line AB or CD. The Obliquity of the Teeth is the fame in both, with this difference however, that in G, which is a Wheel of the Syftem A A, (Fig. i.) they are cut in from the left to the right, but in H (a Wheel of the Syftem BB) from right to the left. I need not take notice, that for making the Work more durable, ( 87 ) the Teeth are not to be cut out into quite (harp Points, but blunted a little, as in the Wheel H. The Nicety of the whole Machine chiefly confifts in placing the Center a and b , or (which amounts to the fame thing) after having chofen the Breadth of the BrafsBottoms, in determining the Diameter of the uppermoft Wheel : For if that fliould prove fo large, as that the two Wheels H and G fliould very near touch one another, the Tooth of Communica- tion will be fhort, its Operation will be of a (mail Force, and the Wheels themfelves will require a very great Exa&nefs, left by turning about the Wheel H, and the Tooth of Communication (landing in the Pofition as it is reprefented in Fig . a Tooth of the Wheel H may touch it, and flop the Motion, Whereas,on the other hand,fuppo(ing the Centers at the fame Diftance, and the Diameters of both Wheels lefs, the Tooth of Communication will be longer: then fuch an Exacftnefs is not requir’d in the Wheel, yet more Force is neceflary for making the Tooth of Communication lay hold the better. Furthermore, it will be well for you to make the undermoft com- mon Tooth-Wheel as large as you can. From the Conftruction of this firft Syftem, with which the 3d, 5th, 7th, &c. entirely agree, one may eafily imagine the xd, 4th, 6th, 8th, &c. for every thing there alfo is the lame, except only, that it is inverted ; fo that what in the firft (lands on the Right-hand, is on the Left in the fecond. The Plate for Multiplication has on irs hollow Axis, as it is faid before, two Shoulders, the lower- mod of which is very (mall, the Sum of its Height, the Thicknefs of the Plate of the Wheel mm, and of ^ M the ( 88 ) the Operator mud amount to as much as anfwers to the Heighth of the Bridge ee. On both Ends of the Brais-Bottoms, the two Piece of Brafs « «, of the fame Height, are rivetted on. This being done, at lad the Covering-Plates oo is prepared and skrewed on the Piece of Brafs 63 7> 8, 9> in the fame Order as it was done in the Addition-Ring of the Silver-Plate of the fame Syflem. Laft of all, if you think fit, you may skrew on thin Ivory Plates, to note upon them the Num- bers which are to be calculated, particularly a long fmall one on that Side of the Slit of the Determi- nator, where there are no Numbers, and alfo two fhorter ( pi ) Ihorter broader ones, one under the Window of Multiplication, the other above the Silver Plate. All this together compofes a Machine, by the help of which you may perform all the four Arithmetical Rules or Operations. The Way of working it, is as follows : I. As to Addition : For inftance, if you are to add 32 and 59 ; becaufe the hindmoft Syftem A A in the Figure, which ought to reprefent the Place of Unites, is not cover’d, let us take the Syftem BB for the Place of the Unites, and the Syftem CCfor the Place of the Tens ; turn the Silver-Plates x x in theft two Syftems, that the Indexes ww point to the two Numbers 5 and 9 ; then make the De- terminators //, //, point alfo to 3 and 2 : next take one of the two Operators, ex. gr. in B B, and pull it down as far as you can, and move it upwards again. This done, the Number 1 of the Silver-Plate in BB will come by this means under the Index w7 and the Number 6 of the Silver-Plate in the Syftem C C under its Index at the fame time, which is 6r, the Sum, 5 9 and 2. After this move the Operator of the Syftem C C alfo up and down, when inftead of 6, 9 will come under the Index ; confequently you have 91 under the Indexes ww7 which is the Sum requir’d of 5 9 and 32 added together. TheReafon of it is plain ; for by pulling down the Operator of the Syftem B B fo far, the Stop c of the lower- moft or common Tooth- Wheel/ {vid. Syft. A A) will Aide over two Teeth of the Ratchet-middle- moft Wheel b ; and by moving the Operator up again, the fame Stop c will turn the two Ratchet- Wheels a and b together, and caufe the Stop r of ( 9* ) the great or uppermoft Wheel a to flide alfo over two Teeth ; at the fame time the Tooth of Com- munication $ will move forward one Tooth of the uppermoft Ratchet-Wheel in the Syftem CC ; con- fequently on the Silver-Plate in B B, inftead of 9 the Number 1, and in Syftem C C, inftead of 5- the Number 6 muft appear under their Indexes ww; and fo for the fame leafon, having pulled up and down the Operator of the Syftem C C, the Number 6 pointed to by the Index muft be at laft changed into 9. II. Subjiratlion . Suppofe 40 the Sum, from which you are to fubftrad xq : Here you muft put your Sum 40 in the Subjlratt ion- Rings , that is to fay, turn the Cypher 0 in the Syftem B B, and the Number 4 in the Syftem C C, under the Indexes as the Figure fliews : Set the Determinators at 24, as in Addition ; move alfo the Operators only once up and down, the Remainder 16 will appear under the Indexes yy. As for the Reafon of this Opera- tion, when you confider, that the Numbers in the Subjiraffion-Rings are engraved inverfo ordinc , as it is faid before, you will find that it is the fame as in Addition. III. Multiplication. For inftance 5 if you are to multiply 43 by 3, bring the 0 in all your Addi- tiourRings to the Indexes, as aho in all your MuU tiplication-Tlates in the Windows. Write down (which is more particularly necefiary if the Num- bers are larger than here) the Multiplicand 43 upon the Ivory- Plates near the two Determinators in the two Sy items B B and C C : But the Multiplicator 3, you may write only on the Ivory-Plate under the Window ( 91 ) Window of the Syftem BB. Set the Determinators at 43 ; then move your Operators fucceffively as often up and down, till there appears in both Win- dows the Number 3 , then you will fee on your Addition- Rings under the Indexes, the Product 119. It is eafy to underftand that as x\\ e> f ; f Let all the Numbers point- j cd to by the Indexes ww be in A B :> thofe which are to < be pointed to by the Deter- minators, in C D ; and thofe which are feen in the Win- dows, inEF. Firft of all, you rnufl: turn all your Addition-Rings Silver-Rlatesan&yomMtiltiplication-Tlates to 0 ; 1 liz. that under all the Indexes ww, and in the Windows nothing may appear but 0. Write the Num- ber 3563 near the Determinator, in the Syftems a,b, c, dy and dired them accordingly : The other Num- ber 58, you muftwrite down likewife, but under the Windows in Syftem a and b , as you fee in this Scheme. 5 of 8 D the C 95 ) Scheme. Move the feveral Operators, which are moveable, fuccelfively as often up and down, till 8 appears below in the Windows, and you will have under the Indexes above 18504, the Produdt of 3563 x 8. And fo the Numbers of the Machine will appear thus. A to o, B D following. Next advance your Mul- tiplicand 3563, from the Right to the Left ; that is to fay, place the Deter- minator in the Syftem h at 3, in c at 6, in d at 5, in e at 3, and reduce every Number in the Windows except in the Syftem a. See the Scheme / e d c b it 0 2 8" 7 0 4 ’ — 1 — i 3 5 6 3 c 0 B 8" 8" "8 5 n / e d c | £ a * A O 2 8 5_ 0 4 H— >- ►— C 3 5 6 3 • > , E O 0 O O 0 8 1 5 I Then pull all the Opera- tors again fuccefiively in b , c , d, and e, up and down, till 5 appears in the Win- dows below, and you will find at laft under the In- dexes 206654, the Pro- duct of 3563 X 58. A C E / e d j c it if. 2 0 6 6 L 4 3 5 6 3 7 7 7 7 5 8 B D F N But ( ) But if you are to divide again 10 6654 fry you muft . place the Dividend above in the Sub - ftratfion- Rings under the Indexes. In the Windows below, every Figure muft be o, likewife as in the Multiplication ; and write the Divifor under the Di- vidend, according to Vul- * gar Arithmetic k, and as in the Figure here an- nexed. If you diredt theDeterminatorsin to their Numbers, and fubftrad this Divifor by pulling up and down the Operators as often as you can, you will have in theWindows in e , d^c, b , every where j ; but on the Silver-Flat es there will remain 2 8 5*04. Now advancing your Divifor from the Left to the Right, bringing to the Windows in d , c , all the - Cyphers o, and operating as before, there will atlaft appear on the Silver-Flat es nothing at all, but be- low in theWindows 5888. See the Figure following: A C E 2 o As And here you have only this to obferve, that in fuch Cafes, you cut ofF all the hindermoft Figures or Numbers in E F, except that which ftands under the firft Figure of the Divi- for ; what remains is your Quotient. for what remains, if it be obje&ed that this / e d c b a 0 0 0 0 0 0 *“• 3 5 6 5 ► — — ( 5 . 8 •8 8 8 1“ B D Machine cannot be fitted for fo many and long Numbers, ( 97 ) Numbers, as one would pleafe, becaufe the Multi, plication of lb many Syftems would require too great a Force for one Operator to move fo many Wheels, kept by Springs, fuppofing the cafe that all the Teeth of Communication ihould duly catch } I own that this Objection is but too well ground- ed : However, I cannot help obferving at the lame time, that this Defeat can hardly be avoided, in any Arithmetical Machine, for performing all thofe Operations of itfelf, without the help of the Mind : For there mull certainly be a particular Syftem for each Place of Figures, which is to communicate with the next ; confequenly, as the Sy ftems encreafe in Number, the Force muft en- creafe alfo which is requir’d for moving them all. Befides, it ought to be confider’d, of what Size fuch a Machine ought to be, which might ferve for com- mon Ufe. I think few Calculations could be re- quired, for which 14 or 16 Syftems might not fuffice. That which I made was of 7 Syftems, as I have already mention’d. The Dilpofition of it was neither fo well contrived as I have explained it here, nor were its leveral Parts fo well wrought, as a good Artificer, who makes Profeflion of fuch Work, might have performed it ; yet thofe 7 Syftems were very eafily put in Motion ; and if in a Machine for 14 Figures made by a skilful Hand, it could not be fo eafily practicable, this Defedt, I believe, might be eafily remedied, by applying the other Hand in the fifth or fixth Syftem to the Handle fs, in order to eafe and affift the Operator. I am your humble Servant , C, L. Gbrsten. N % 11 Of ( P8 ) II. Of the Figure of the Earth, and the Variation of Gravity on the Surface, ‘By Mi'. James Stirling, F. S. [. rupibus haec fungi fpecies, qui ( ) qui fponte in aere induratur et lapidefcic. Quid de hoc lapidis Fiitri ortu ac crefcendi modo fentiendum fit, decernere nolo, quamvis ille admodum fufpe&us et eum in fin cm excogitatus videatur, ne quis credar, vulgarem hunc efie lapidem* Duum enim generum haec vafia efie, aliqua coloris e nigro gryfei qualera pofiidet lapis fciffiiis, quae ex Canada Americae provincia pecita, precio cariore veneunt, aliqua co- lons tophacei, natale foium Icaliam agnofcentia, fcribir Lentilius in Rphemer* German . Gent . III. Obf. CLXXVI. I mo tefte Clerico in Phyfica, uti nora ibidem addita teftatur, effoditur etiam in agro Leodicenfi, plurimi in Hollandia ufus. Talis haud dubie eft, cuius exiguum fruftulum, nncis jugiandis magnitudine, ante plures annos a B. Rittmeyero, Medico Amftelodamenfi acceperam, cum quo ta- men experimenta inftituere non potui. Poftquam vero illud in fundo infundibuli ex ftanno confetti firmavi, eodem ad aquas curiofitatis gratia filtrandas ulus lum. Ante breve temporis fpatium autemdoc- tifiimus Ehrhart, Medicinae Dodtor et Phyficus Memmingenfis, felecftum foftilium dono mihi mifir, quae inter erat tophus fingulariter porofus, circa Memmingam reperiundus, qui, uti ille certiorem me fecit, quacunque fui parte aquae immerfus, eandem avide imbibit^ Quamprimum enim aquae fupcr- ficies eodem tangitur, aqua ftatim vi preflurs aeris per totam ejus porofam fubftantiam fertur et afcendit, ut in faccharo, fale, charta ' bibula er fpongia hoc fieri, experientia docer. Sufpicio mox in mente enata eft, annon forfan hie tophus Film? Mexicani loco ad fiitrandas aquas adhiberi poller. Hoc ut experirer, foveam in ejus fruftulo excavavi,, aquamque ( io8 ) aquamque infudi, quam celerrime per ipfiuS poroS tranicoiari vidi. In animum iraque induxi idem cum aiiis tophis er lapidibus tentare, quo confilio tubulos tophaceos ofteocollae fumpfi, et obrurato altero extremo, aquam indidi quae pariter occyftime per porolam fubftantiam tranfudabat. Recordabar porro, me fpongiam a pluribus annis poffidere* quam in thermis Carolinis degens, in canali, quo aquae ferventes ad balnea ducuntur, repofueram, quo ipfo fpongia ochra ifta, quam thermae fecum vehunt et inter fluendum deponunt, incruftata in tophum de- generavit. Hanc fpongiam excavavi, et aqua fo- veam replevi, quae celerrime per illam defluebat. Hoc vifo, cum ipfo thermarum topho, cujus fat magnum fruftum poffidebam, periculum facerecon- ftitui, quern in finem Lapidicidae excavandum tra- didi, ut mortarium ex ifto formaret, quo conftaret, an per iftum tophum denfiftimurq, et folidiffimum aqua tranfiret. Quod fperavi, fa&um eft, aqua enim infula eadem prorfus ratione, ac per Filtrum*Mexica- num reliquofque tophos, depluir, fed tardius ob den- fitatem lapidis filtratio per hunc fliccedir, quam per tophos magis porofos. Blandiebar mihi, me hoc experimento aliquid invenifte, quod ad gene- rationem Filtri Mexicani fub undis illuftrandam fa- cere poflet. Quandoquidem enim tophus therma- rum ex aquis iftis ochram fuam, fluendo per aquae- dudtus et ex iis deftillando, deponentibus generatur, et fenfim concrefcit, fimili ratione mare fludhiofum faxa quatiendo, falino-terreas partes deponere exifti- mavi, ex quorum fucceftiva concretione tophus hie generetur, rupibufque potius accrefcat, quam quod fungi aut Agarici Saxalitis exemplo ex iifdem pro* i pullulet. ( 1 °P ) pullulet. Sed quia lapidis hujus origo, uti fupra vidimus, admodum dubia eft, er certo non conftat, utrum ille ex maris fundb educator, an poems ex terra effodiatur nil cerci de hoc affirmare audeo. Confiderando vero infignem tophi rhermarum den- fitatem, qua non obftante aqua per ilium fertur, in mentem venir, idem experimentum, cum faxo vul- gari, quo in exftruendis muris utimur, tentare. Ex- pecftationi refpondit eventus, mortarium quippe ex tali faxo formatum infervit mihi nunc loco Filtri Mexicani, per quod aquae aeque clarae, ac per ilium, depluunt. Acquirebat quidem aqua hac ratione fiicrata primum terreum laporem, qui ramen iterata filtratione ceffavit, uti hoc etiam de ifto jfilrro lapi- dofo annotavit laudatus Lentilius loco fupra citato. Nullum etiam eft dubium, alios quoque lapides id praeftare pofie, quia etiam lilices duriffimi et foli- diffimi quibus pavimenta in plateis fternuntur? aquam imbibunr, uti tempore pluviofo obferva- mus. Hoc tamen manifeftum eft, et me tacente quilibet videt, tanto^^cilius et tardius aquas infufas poros eorum permeare, quanto iolidiores denfiorefque funt lapides, anguftiorefque eorum pori. Sed nunc ad virtutem huic filtro lapideo ad- fcriptam accedimus, qua aquas per illud fikratas ab omnibus fecibus et impuritatibus liberari, afteri- tur. Ita enim in fupra citata Hiftoria in Valeo- tini Mufaeo legitur, aquam per ilium fikratam, quamvis infufa fuerit limpidiffima, temper aliquam fecum imperceptarum quantitatem deponere, ac fenfuum indicio leviprem, puriorem, mukumque ad valetudinem tuendam aptiorem evadere, immo muko diutius fine glacie vegetam ac naturaliter temporis » \ . ( 110 ) fHgidam, fine corruptione per longum temporis fpatium pofle conlervarh Haec fi it a effent, ec aquae hac ratione ab omnibus heterogeneis parti- bus liberari poflent, omni pretio cariora cenlenda merito forent haec filtra. Quid enim quaefo ad fanitatem magis conducit quam aqua pura, in cibo potuque aflumpta ? Hoc tamen beneficio ingentes terrarum tradtus carent, in quibus non nifi aquae falfae, nitrofae, vitriolicae et aluminofae, fubinde quoque aliis particulis mineralibus infe&ae fcatu- riunt, quae multis morbis anfam praebere polTunt. Probabile omnino videtur, aquas tales filtratione per filtra ejufmodi lapidea impuritates iftas deponere, .quoniam videmus, et experientia teftatur, rivulos in locis arenofis falebrofis et glareofis fcaturientes, ac per fundum talem oberrantes, multo limpidiores et puriores aliis fontibus efle. At enim vcro aquae iftae puritatem fuam exinde non habenr, quod impuri- tates fuas ibidem tranfcolatione per arenam et gla- ream depofuerint, fed potius, quia inde nullas fecum rapuerunt. Quod enim, falia non tantum, fed horum ope etiam alia heterogenea corpufcula, terrea, ful- phurea, mineraliaque, in aquis foluta et ar£te cum iis fociata, filtratione nullatenus ab iifdem feparari queant, teftantur experimenta chymica. Videmus quippe, corpora folidiffima mineralia Mercurium, Antimonium, Saturnum, et alia in menftruis foluta, per poros fikri chartacei penetrare, quae poftea, praecipitatione a complexu aquearum abftra&a ac ex interftitiis exturbata, feparantur, et filtratione repetita in filtro remanent. Sed forte quis objiciet, filtrum lapideum craffius et denfius plus hie valere, quam papyraceum. Contrarium tamen teftantur aquae. ( *11 ) squae, in fodinis et cryptis fubterraneis cx ipfis faxis exfudantes et deftillantes, quae mox lapideF cunt, unde Stala&ites oritur. Ex hoc folo conftat quam parum faxa folidiflima, et confequenter filtra lapidea valeant ad aquarum depurationem, et fco- riarum falino-terrearum, mineraliumque feparatio- nem in aquis omnimode folutarum. Non tamen lie- gabo, aquas turbidas et limofas filtratione per lapi- des iftos claras & pellucidas reddi pofle, quia impu- ritates iftae non in aquis folutae et intimius cum lifdem fociatae funt, fed tantuAi in illis fluctuant, iifdemque innatant. Praeter has vero alias aquas hac methodo nullatenus puriores evadere, edodtus et confirmatus fum, experimentis tam cum filtro ex Hollandia accepto, quam cum iftis e topho ther* marum Carolinarum et ex faxo vulgari formatis, ite- rato inftitutis, percolando per ilia aquas varias fluvi- atiles et fontanas, examinando ante et port filtra- tionem ope Hygrometri earum gravitatem, led nul- lam vel faltem infenfibilem differcntiam inveni. For- tunatum ergo praedico noftrum imprimis folum, cui Numen propitium fcaturigines limpidiflimas et fa- lutares conceffit, ut adeo his filtris non indigeamus. Qui vero hac felicitate carent, iis melius confali non poteft, quam ut aqua pluviatili, utpote per deftilla- tionem ab omnibus impuritatibus liberata adeoque omnium purifiima ac defecatiflima fruantur. P iVa A ( II* ) xv abn-m ‘ . - ' - i - IV. A Continuation of an Account of an Effay towards a Natural Hijlory of Carolina and the Bahama Ijlands, by Mark Catesby, K ^ 5. With fome Extracts out of the fev&ntb Set. By Dr. Mortimer, Secret . TH E Account of the Sixth Set is printed in N°* 432. of thefe Tranfattions ; this Seventh begins at Elate 21, of Vol. II, which contains the 21 \ Muranamaculata nigra ; the black Murrey. Lithophyton Longe racemofum ; cor t ice flavo perforate. This fort of Plants is woody within, but covered with a yellowT Coralline or ftony Cruft, or Bark. 22. T urdus oculo radiato . Guaperva maxima caudata , Willug* Tab. 1. Fig. 23. The Old Wife. This is a Fife of the compreiTed fearp-back’d kind, and is tolerable good Meat. 23. Eagre , fecundas Spec id Marggravii affinisj TheCat-Filli 5 fo called (as I fuppofe) from the round- nels of its Head which refembles that of a Cat : Its Fiefh taftes like that of an Eel, and is good Food. 24. Haringus minor , Bahamenjis : ThePilchard. Thefe are good to eat. Arbor , Eopnli nigra foliis3 fruBu reniformi7 monofpermo . This is a finall Tree, which grows near the Sea. 25. Ant he a quart ns Rondeletii , Will. 325. T. X 5. forte etiam Orpheus veterum ? Rondeletii, Gefn. 252 : The Mutton-Fife. This is reckon'd one of the molt delicate Fife of the Bahama Iflands. 1 26. Re* 1 ( 11? ) 2 6. Remora, Sloane’s Nat. Hift. of Jamaica^ Vol. I p. 28. TheSucking-Fifh. This is thatFifh fo famous for flicking to the Sides of Ships, of which fo many fabulous Stories have been related, particularly, that fuch a fmall Filh as this, being leldom more than a Foot in length, is able to flop a Ship under Sail, or a Whale when fwimming : But our Author very juftly remarks, that even ieveral of them together can do no more than what Shells or Corals, and other Foulneffes of the fame Bulk, which make a Ship fail fomewhat the flower ; and indeed in the fame manner they may be fome fmail hindrance to a Whale. He fays, he hath taken five of them off of the Body of a Shark, and hath feen them fwimming about a Shark’s Mouth, without his offering to devour them. B/jylanthos , Americana plant z,fiores ad foliorum Crenas proferens. Hoit. Amftel. Tom. I. 121. This grows on many of the Bahama Iflands. 27. Solea Lunata^B pun flat a : The Sole. This is much like our common Soles, only the Back is beautifully fpotted with blue Spots, moft of them in Form of Crefccnts, with the hollow Part and Cufps flanding oppofite to each other. 28. Orbis Ixvis variegatus : The Glob-Fifh. Cornus , fohis Salicis Lauren acuminatis , ftor 'tbus albis , fru£fn Saffafras. Bhajeolus minor laBefcens , jiore purpureo, Sloane’s Nat. Hift. Jam. Vol. I. p. 182. 29. BJittacusTifcis^viridis, Bahamenjis : The Parrot Fifli ; fo called from the Shape of the Head, and its beautiful Variety of Colours, green, blue, red, and yellow. It is not much efteemed for Food. P 2 3 c. Acus ( 1 1 4 ) 30. Acus maxima, Jquammofa , viridis : The Green Gar-Filh. Frutex aquatints , florihus luteis j frndlu ro- tundo , quinque-capfulari. 3 i An Acarauna major , finnis cornutis ? an Ptfr# Brafilienfibus , Marg. ? Will. App. P. T. o. 3 ? The Angel-Fifh. This Fiili is of the comprefled kind ; but the moft remarkable Particular about it is, that the larger Scales, which immediately cover the Body, are each of them covered by a great many very fmall Scales : It is edeemed an excellent eating Filh. 3x. Cancer terreflris cuniculos fubTen~a agens. Sloane’s Nat. Hift. Jam. Vol. I. Tab. If. The Land- Crab. Thefe Creatures make Holes in fandy Lands in the mountainous Parts ^ but in breeding-time da annually comedown from the Hills to lay tbeir Eggs near the Sea : In their Journey they never turn afide, but crawl over all Buildings they meet in their Way : they are of feveral Colours ; the lighted colour’d are reckon’d bed to eat ; the black kind are poifonous. Tafia trifolia , fruHu majore oblongo . The Crabs feed much on the Fruit of this Plant j it nearly refembles a Plumb. 33 . Cancellus terrejlris Bahamenjfis : The Her- mit-Crab. The Claws and Fore-part of this Creature are cruftaceous, but the Hind-part is only cover’d with a tender Skin : Nature therefore hath taught them to chufe empty Shells of the Buccinum kind for their Habitation, wherein they fecure their Hind- part, and by a fmall Claw at their Tail can keep tkemfelves fad in their Shells, or quit them at piea- fure. ( HJ ) fere, which they can be made to do by laying them near a Fire. Their living in fuch Shells, like an Hermit in his Cell, hath given them the Name. Others call them Soldier Crabs^ refembling them to Soldiers* in Centinels Boxes. Roafted in the Shell, they are efteemed delicate Food. In the Plate is reprefented one of thefe Crabs in his Shell, another out of it. Manghata^ Arbor CurafTavica, foliis Salignis ; Hort. Amft. Button-wood. Sloane’s Nat. Jamaic. Vol. IT. p. 18. The Hermit-Crabs are ge- nerally found in great Plenty under th'ele Trees0 The Wood is only ufed for Fuel. Ft at ex trifolius^ rejinofus ; fioribus tetr a- fetalis^, albiSy racemofis. 34. Cancellus maximus Bahamenfis r The Sea Hermit-Crab. This is much larger than the former, and inhabits the empty Shells of the largeft forts of' Buccinums . They are never obferved to dilpoffefs~ any Fife of its Shell, and have therefore been un- deservedly compared to Soldiers who turn People’ out of their Houfes and plunder them. Lithophyion corner ejfum objcure lutefcens ; mar— ginibus purpureis^ afperis. Cancer arenarius : The Sand-Crab. Lithophyton pinnaUm, pur pur earn , afperum. 3 6. Bagurus maculatus : The red mottled Rock- Crab. Thefe Crabs cannot only run up the per- pendicular Side of a Rockr but even under the pro~- je&ing Parts of them with their Back downward^ as we fee Flies upon the Cieling. Cancer chelis crajjijjirnis\ the rough feell’d Crabi 37. Cancer ( 1 1<$ ) 37. Cancer Mar inns } chelis rubr'ts : The red- claw’d Crab Titanokeratophyton ramofijfimum ; crujia ele- gantly tuberculata Thefe forts of Plants are cover’d with a (tony calcarious Coat or Bark 5 but the Subdance within is lemi-diaphanous, like Horn, and when fet on fire, the Smoak fmells exadtly like that of Horns or Hoofs of Quadrupeds : And this is the mod certain didinguifhmg Mark of all this Tribe of Sub- marine Plants called Keratophyta. 38. Here our Author premifes fome Obfervations relating to the Sea-Tortoife in general, as that our Sailors corruptly call them Turtle ; he mentions the feveral Species of them, and fays that they are mod* ly timerous, except in the Time of Coition, when they are furious and regardlefs of Danger. They ufually continue in Copulation for 14 Days together. In April they go on Shoar to lay their Eggs, where- of they drop above 100 in one Night into an Hole they have made in the Sand above two Feet deep, which they fill up again with Sand ; and in three Weeks the Eggs are hatch’d by the Heat of the Sun. Tefiudo marina vindis : The green Turtle. This Sort is fo called from the Colour of its Far, and is preferr’d before all the other Kinds, being edeem'd a very wholefome and delicious Food. They feed on the following Plant ; , Alga marina, t gramineo , angufiijjinio folio . Sloane’s Nat. Hid. Jam Vol.I. p. 61. Turtle-Grafs : Itgrovvs at the Bottom of the Sea in fhallow Water. 39. Here our Author relates the Methods of taking Turtle, which is either by turning them on their Backs when they are upon the Sand out of the Water, ( i«7 ) Water ; or in the Water, by harpooning them ; or by Men diving after them. Teftudo , Caretta. Rochefort. Hift. des Antilles : The Hawk's-Bill Turtle. This takes its Name from the Form of its Mouth. It is the Shell, or rather Scales of this kind, which are employed in fo many beautiful Works, and fo well known by the Name of Tortoife-Shell. I take this Opportunity to ob- ferve, that the hard ftrong Covering which inclofes all forts of Tortoife is very improperly called a Shell, it being of a perfedl bony Contexture, but cover'd on the out-fide with Scales, or rather Plates of an horny Subfiance, which are what the Work- men call Tortoife-Shell. 40. Teftudo marina^ Caouanna . Raii Sym Qua- drup. p. 257. The Logger-head Turtle . Thefe are the boldefl of all the Sorts of Turtle. They are vo- racious, very foul Feeders, and their Flefh taftes rank. They feed moftly on Shell-Fifh, their Beaks being ftrong enough to break very large Shells. Teftudo Arcuata : The Trunk-Turtle. Here is no Figure of this Sort, becaufe the Author never met with one in the Country 5 but fays, that in the Repofitory of the Royal Society is a. Turtle preferved entire, which he takes to be of this Species. V. Halo ( n8 ) V. Halo objerVatus Romae Anno m dcc xxxir. Die xi. Augufti a D. Did. de Revillas, (Regali Societat't communlcaYit Tho. Dere- ham 'Bart. AB horS. ante Meridiem tertia ufque ad fecundam poft Meridiem fimplex Halo undique terminatus, & graphice circularis, lolem in polo ejus exiftentem cingere vifus eft. Zonae Latirudo apparentem folis diametrum sequare videbatur. Color inrimus ruber, reliqui fatis diluti, atque iisqui in Iride confpiciuntur analogi, fed in candorem defmentes, & circa Meri- diem aliquomodo immutati. Coelum quamvis fere- num, tenui .caligine inficiebatur, Bore! leniffime flante. Caligo deinde in albicantes nubeculas den- fata, dum Halo evanuir, cujus Diameter ab interno Zonx margine dimenfa, erat 45 gr. Altitudo Barometri eodem die. Hora A. M. 4. Digit. Paris 0.7. M In Meridie 27. IO i Hora P. M. 1. 27. 10 i T F IN I S. rAJS. i /Zi/Zo/b/iA . Traj?/hcf. J\Zf 4 3 g Fu?.3. S o 7* Tjemel irut ter puater ifiu/iquicj JecCtef xe/jtzej nomcs elected \ ( ** 3^ ~U <5ii *T V & Q? r>© J .33 o&cAau^^ $ T afitcee ■> 1 a TS \H i Cf c h A 8 9” Ck43 la X&octor <77leeuC/ ^ Wlanu/Zrifrt . GreeA \ ^ U/tenj. ] (X 0 > e p=’ ‘0 4 V A 4 /. Manu/eri/^ <7f\?o. 1 . tfe/acrv /Jo/io. j l Z 3 a. 4 6 A 8 9 fo \c&octort/'6)!tij. SFujut^* of- — \ / 9?Unx. ifta/uides^ * P P" F / H • V A 9 /o s .5 **lgu/'ej in r .'/{*?■ SSaconU j / Ca/etuior ( 7 3 it 4 <3 A 8 9 /o / S7/ze Ciriton. ^ Si6mrii! . Modem fy. 1 2 3 4 5 7 8 9 zo J • THE HELMDON HATE. Numb. 439. PHILOSOPHICAL TRANSACTIONS For the Months of OEtob . Novem. and 'Decemb. 1735* The CONTENTS. I. An Extract of a Letter from Mr. John Cope to Dr. Alexander Stuart, Bhyfician in Ordi- nary to her Majefty, Fellow of the College of Phyficians, and of the Royal Society, London, concerning an Antient Date found at Widgel-Hall in Hertfordfhire. II. Remarks upon an Antient Date, found at Widgel-Hall near Buntinglord in Hertford- iliire, on an Oaken Plank 5 now preferred in r&eMufeum of the Royal Society, London. By John War dfftfet. was neceffarily led to attend to the Ule of thefe Figures, particularly in Dates. And he informs us, that they were rarely ufed before the fourteenth Century, except in fome few Books of Geometry and Arithmetic. And prefently after he fais, it was not much to his purpofe to treat of them, fince he did not deftgn to carry his Work lower than the thirteenth Century c. By which he feems to in- timate, that he had met with very few, if any, In- ftances of Arabian Figures, in fuch Inftruments at leaft, before the Year 1300. But no one appears to have examined this Sub- ject more carefully than Dr. Wallis ; who has of* 8 Lib. III. Ep. 223. b De N;vtiir. Art. Lib. III. cap. 8, $ 7. ® Lib, II, c. 28. 10. fered ( 1*7 ) fered fome Arguments to prove, that Gerbertus, a Monk, who was afterwards advanced to the Papal See, and took the Name of Sylvefler II, had before the Year 1000 learned the Art of Arithmetic, as now pradtifed, with the Ufe only of nine Characters (whatfoever their Form then was) from the Saracens in Spain, which he afterwards carried into France *. But the Dodtor thinks thofe Characters or Figures were known for a long time after only to fuch Ar- tifts, and principally ufed by them in aftronomical Calculations ; the Roman Numerals being ftill re- tained in common Ufe to exprefs fmaller Numbers b. Nor has he given us the Figures ufed by any of thofe Writers, before Johannes de Sacro Bofco , who died in the Year 115-6 ; and Maximus ‘Planudes, a Greek , who flourifhed after him ; which I have copied from him, and inlerted in Tab. II. Fig. 1. Mr. "David Cajley , in his Catalogue of the Manu~ fcripts of the King's Library , 8cc. has publifhed a Specimen of a Manufcript from the Cottonian Library , called Calendarium Roger i Bacon c, and dated 1291. The Figures in this Book arc Arabian , and, as Mr. Cafey informed me, the oldeft that he remembers to have met with in either of thofe Li- braries : For which Reafon I have given them a Place in the Table. It appeared to me exceeding difficult, how to reconcile the Opinions and Obfervations of thele feveral Writers, concerning the firft Ufe of the Arabian Figures in thefe Weftern Countries, with the Time affigned even to the lateft of the Dates above-mentioned. And it could not but feem very a De Algebra, c, 4. p. 17. b lb. p. 11,15:, 16. cPlatex\. R ftrange ( M ) ftrange, that no Date of any Wilting Ihould have been produced in thofe Figures, or any other Ufe of them difcovered (except perhaps in fome mathe- matical Calculations, or Books of Arithmetic) long before the fourteenth Century ; and yet that a Date fhould be found, fo carved in a Piece of Wood, be- fore the Middle of the twelfth Century, for fo com- mon a Purpofe as the Mantle-tree of a Chimney. But upon a clofer Examination of the Characters, I found Reafon to think, this was not really the Cafe ; and that inftead of 1 1 3-3, they ought to be read 1133, what has been taken for a 1, being de- figned for a 1. This Reading feems to be confirm- ed by the Shape of the two 33 that follow it, lfom which, if the bottom Curve towards the right Hand (as it was often made formerly) was taken off, the upper Part would make the z. Which Agree- ment between thole Figures is not only ufual af prefent, but often found in Manufcriprs of the fourteenth and fifteenth Centuries. Though fome- times indeed ’tis otherwife ; and the z has an Angle at the Top, when the 3 is round, which would not fo well have fuited this fquare Hand. The Reafoa which occafioned the carrying this Date fo high, mufit, I prefume, have been the Similitude between the fimal! i over the preceding abreviated Word ‘Domini and this 2. But though they appear to have fome Likenels, yet there is a manifeft Dif- ference between them \ for the 2 is much larger at the Top, where it has an Angle, and a Curve down- ward, that plainly diftinguilh it from the former. Could it be taken for a i» I Ihould much rather fiippofe it was defigned for a Letter than a Figure, ( >*p ) and the two following Characters for a double U ; and fo the whole to be only an Abreviation of the Word millefimo. But as I think it muft be a x, for the Reafons given already, and do not remember ever to have met with fuch a double //, I can’t but efteem the other the true Reading. And yet (till, I believe, this Date may claim the Preference of being the oldeft of the Sort that has hitherto been difcovered. The Antiquity afcribed to the ColcheJIer Date, namely 1090, has, it feems, been occafioned by a Miftake in the Copy ; for the o in the Place of Hundreds fhould have been made a 4, by drawing down an oblique Stroke on each Side from the Bottom, which makes it 1490, before which Time the 4 had long received that Shape. See Tab. II. Fig. 1. lam obliged for this Information to James IVeft,Yj{<\\ a worthy Member of this Society, and well skilled in our Britijh Antiquities, who himfelf per- ceived the Miftake in viewing the Original. As to the Date from Wtdgel-Hall, which gave Occafion to this Enquiry, it feems to me plainly intended to exprefs the Year 1000, and no more, by the Roman 90 in the Efcutcheon on the right Side. For the Characters in the other Efcutcheon cannot, I think, ftand for Figures, but muft be the initial Letters of two Names I. G. as W. R. in the Helmdon Date ; and were very probably defigned in both to denote the Perfons who ereCted thofe Buildings. The Omiftion of a Character in the Place of Hundreds, is ftill an Argument with me, that thefe two laft were not made for Figures. But. what I imagine puts the Matter paft all Doubt, is the want of Evidence that the Figure 6 had received R x . that C'i°) that Form till fome Ages afterward : And when it was introduced, the upper Part was not at firft made fo ered, as it is here, but carried in a fmall Arch juft oyer the Top of the Circle, as may be feen in Tab. IL Fig. i. On the other hand, what looks here like the modern 6, was at that Time the ufual Form of the Capital G. This I found fully confirmed by a large Collection of original Grants, made by our antient Kings and others, and pre- ferved in the Cottonian Library a. Upon coniult- ing thefe for half a Century at lead, both before and after the Year 1016, I found the G fb written in a great Number of them, of which the following are iome few Inftances : N. 37. anno dcccclx. N. 37. anno dccccxciii. N. 53. anno mxlv. N., 49. anno mlxxxi. For thefe Reafons therefore I can make no Queftion, but that Charader was defigned for a G, and not a 6 . And it is plain from other Circumftances in Mr. Gnlfion' s Letter, that the Building might very probably be as antient as the Year 1000 5 which renders this Relic of it, con- fidering how firm and found it ftill is, a remarkable Curiofity. The Ufe which I think may be made of thefe Obfervations is this : That fo far as yet appears, any Coin,. Infcription, or Manufcript, with a fup- pofed Date before the thirteenth Century, exprefied in Arabian Figures, may be juftly lufpeded either not to be genuine, or not truly read ; unlefs the Antiquity of it be certain from other clear and undoubted Circumftances, and the Date will bear no a Auguftus II* other c Ml ) other Reading ; and if it be a Copy, that it has been taken with Exa&nels. In Tab. II. Fig. i contains the fever al diffe- rent Char aliens and Figures refer'd to in the Remarks, together with the modern Indian and European Figures. Fig. a is the Helmdon Date. Fig. 3 is the Colchefter Date. III. Some Confederations on the Antiquity and life of the Indian Characters or Figures. By Mr. John Cope. TH E moil ingenious Invention of Figures by the iagacious Indians , is of fuch vaft impor- tance in Numbering, that it can never be fufficieut- ly enough admired, although now-a-days the Ufe of them is become i'o familiar among us, that very few confider what a Lofs the want of them would be to People of every Degree and Station in Life : For to confider only, that fuch a Number as not long before the Conqueft would take up a good Arithmetician whole Days to count by the literal Characters, is now by the Help of Figures com- monly exprefs’d by a Child in a few Minutes. This Confideration of the vaft Ufe of Figures, put the Learned Dr. Wallis, and others fince him, upon enquiring at what Time they were firft happily in- troduced into this Ifland. Dr. Wallis ( ) Dr. Wallis informs us, that we had the Figures from Spain, into which Nation they were brought by the Moors ; the Moors had them from the Arabians ; and the Arabians from the Indians. And it was the Doctor’s Opinion, that they were firft brought into England about the Year 1130; for that the firft Inftance of their Ufe which he had met with, was a Date upon a Chimney-piece, which Date was 1 3 3* the Character which the Romans made ufe of to exprefs 1000, being mix’d with Figures, as Dr. Wallis obferves, was often done at their firft coming in \ fince that in Thilofo • phical Tranfaflions , N°4 166, is mentioned a Date 1090. all in Figures. About twelve Months ago I produced a Date upon a Chimney-piece at Widgel- Hall in Hertfordjbire , which was 1 6, the jQT for the 1000, being here again mix’d with Figures. And I now produce a ftili earlier Inftance of the Ufe of Figures in England , Q fee Tab. I. Fig. 2. ] which is a Draught of an Infcription over a Gate-way at Worcejler , built, as ’tis believ’d, in the Reign of King (JEtigat, and is this 0)1$. (nine Hundred Seven ty-five) which is 158 Years before the Date of Dr. /fWAVs, 4 1 Years before that Iproduced laft Year, and is now 760 Years ftanding. It is a great pity (I think) but it fo happened, that the Shape of the Figures in this Date were altered from what they are here Ihewn to be of, about two Years ago, when the Gate was new chipp’d and beautified ; and at the fame Time the modern ones 97J were then painted in their Room, as they are now to be feen ; the Ground is Gold, and the Figures black. The Account of this Date I had given me lately by 1 Mr. Jofeph ( M5 > Mr. Jofeph Ttougharty of Worcefier, who is an ingenious and reputable Perfon, and lives in the Houfe over the Gate-way on which this Infcription is : He likevvife inform’d me, that his Houfe goes by the Name of The oldefi Houfe in five Counties ; and it is the current Opinion thereabouts, and re- ported by the ancient People in that Place, That the Houfe was built by King Edgar , wherein they fay, he Ibmetimes kept his Court. I confefs I am not fo well acquainted with the Hiftory of thofe Times, as to fay whether King Edgar either built, or kept his Court there ; but all Hiftorians agree that IVorcefier was then a very confiderable Bifhoprick ; and that Ttunfian and OJwald , who were both fucceffivelyBiihops there inZs^r’sTime, were both his great Favourites, efpecially ( Ttunfian , for whom King Edgar had a very great Regard : for it appears that the firft Thing Edgar did after he came to the Crown, was to recal Ttunfian from Flanders , where he had been three Years in Exile, and was immediately thereupon made Prime Mini- fter, Favourite, and ConfefTor, at firft Bilhop of IV orcefier, and afterwards Archbifhop of Canter- bury ; upon which laft Promotion his great Friend O five aid fucceeded him in the See of IVorcefier : And ’tis very likely that either Ttunfian or OJwald3 as having fo much Power, Intereft and Riches, might ere IV. Remarks npoti an Antient Date^ over a Gale-way , near the Cathedral, at Wor- cefter. ,e Re DipIom. Tab. XYr. manner * c M 9 ) manner inftead of meeting in an Angle2; and *Plamtdes , a Greek Writer, has kept the true Ara- bian Form v, like the Roman Five, which the Euro- peans inverted. [SeeTAB.II. Fig . i ] The laft Altera- non tbisFigure received among us, was by railing the ihorter Leg horizontally. But no Infiance of it parallel to this in the Worcefler Date, or any Thing like it, has before appeared. As there feems therefore no Reafon to fuppofe. it a Seven ; fo I think a probable Conjecture may be offered, what it was defigned for, and that is, thd Roman Numeral . Ten,1 which was made in this Form, like an X ; to which Character, in our old fquare Hand, this fuppofed Seven y would very well agree, by fupplying only the two extreme Parts to the right Hand, in this Manner which may eafily bethought to have been decayed, and worn away by length of Time. As there is no Realon to take the middle Cha- racter for a Seven, fo neither is there any to fuppofe the firfl was intended for a Nine, being thus placed before two Roman Numerals, as I take them both to be. It has indeed fome Similitude with that Figure- but that is nothing more, than what was antiently,. and (till is, common to the Letter OP in that Hand, which refembles a double 0>with an oblique Stroke turned inwards from the Bottom of that to the right Hand; fo that if the other to the left be taken a- way,that which remains will appear in thisFcrm Q, like what is here called a Nine. And every one knows, who Has any Acquaintance with antient In- fcriptions, that Letters frequently perifh in this Man- ner, one Part before another. a Adth. Chron. Lib. I. Cap. 4. Upon ( *40 ) Upon thefe Suppofitions the true Reading would be MXV\ But fince the old Date is now deftroyed, and modern Fi^ es put in its Place* this mull re* main uncertain And I can’t but think, the former Chara&ers mi a have been very dark and obfcure, for the following Reafons. There is* as I am informed* , Tower over this Gate, of which a curious and learned Gentleman, who lives very near it has lately given fome Account, in a Treatife entitled, A Survey of the Cathedral Chureh of Worcefter. He fais, it is “ commonly called King John's « Tower, and laid by fome to be built by hitn j u but it was much more autient, having in the Front “ of it the Statues of King Edgar , and his two dJ oj in 7: * : :ri it: oil c-rmihio 07/J 0 / IOG777: ui 7.71 t ■ . .. ■ - -**• - : . . ' ■ -Jj io* te£>n'n:D sfb ’to vritjrikiO ofL noil cii:s I :'i v.\ 7-*, 07" jfuibd ?"r 'to V- A Let ter ' : - ' ' ■ • -*S1 ittsd ov-*d Jium ;aj*a Juki lo sH&rur.,) ^ V-5.M ( '4! ) V. A Letter from Mr. Colin Mac Laurin, Math. Prof. Edinburg. F. R. S. to Mr. John Machin, Aftr. Prof. Grefh. & Seer. R. S. -concerning 'the Defcription of Curve Lines. Communicated to the (Royal Society on Decem- ber 2 1 3 1732. I Am informed that fome Papers have been pre- fented to the Royal Society of late, concerning the Defcription of Curves, in a manner that has a near affinity to that which I communicated to them of old, and have carried farther fince ; and that it would not be unfeafonable, nor unacceptable, if I ffiould fend an Account of what I have done further on that Subjedt fince the Year 1719. The Author of thofe Papers taught Mathematicks here privately for fome Years, and fometime ago (viz. in 1727.) mentioned to me fome Theorems he had on that Subjedt ; which, at the lame time, I Ihewed him in my Papers. Some time before that, he Ihewed me a Theorem which coincided with one of thofe in my Book, tho’ he feemed not to have obferved that Coincidence ; and indeed Methods of that kind, are often found coincident that do not appear fuch at firft fight. I am unwilling to be the Occafion of difeouraging any thing that is truly ingenious, and renounce any Pretenfions of appropriating Subjects to my felf:, but, on the contrary, wilh Juftice may be done to every Perfon, or to any Performance in Proportion to it Merit ; yet I find T it ( M4 ) it is fit I fliould take Precautions, left any one iliould take it in his head afterwards to (ay, I take things from him which I may have had long before him; and therefore (hall fend you an Abftrad of what 1 have done in relation to this matter, fince the Year 1719. I have (o much on this Subjed by me, that I am at a lofs what to fend ; but at prefent I (hall only give you an Abftrad of thofe Propofitions, which I take to be more nearly related to thofe which this Author has offered to the Society from the Converfations I had with him. You know that in 1721, I printed (everal Sheets of a Supplement to my Book on the Defcription of Curve Lines, which I have never yet publilhed, having been en- gaged for the mod part in Bufinefs of a different nature, and in Pur (hits on other Subjects fince that time. I (hall firft give you an Abftrad of that Supplement, as far as it was then printed, and (hall ftibjoin to this, an Account of fome Theorems I added to it the following Year, viz. in 1711. I was led into thofe new Theorems by Mr. Robert Sympfons giving me at that time a Hint of the ingenious Paper, which has been fince publifhed in the Philofophical Tranfadions. I had tried in the Year 1719, what could be done by the Rotation of Angles on more than two Poles ; and had ob- lerved, that if the Iriterfedions of the Legs of the Angies were carried over Right Lines, as in Sir Ifaac Newton's Defcription, the Dimenfions of the Curve were not raifed by this fncreafe of the Number of Poles, Angies, and Right Lines $ and therefore neg- leded ( 1 45 ) leded this at that time, as of no ufe to me j con- fining my felf to two Poles only, and varying the Motions of the Angles as you find them in my Book. I found this by inquiring in how many Points the Locus could cut a Right Line drawn in its Plane, and found, by a Method I often ufe in my Book, that it could meet it in two Points only. Having found then, that three or more Poles, were of no more Service than two, while the In- terfedions were carried over fixed Right Lines ; I thought it needlefs to profecute that Matter then, fince by increafing the Number of Poles, my De- fcriptions would become more complex without any Advantage. Butin June or July, iyn, upon the - Hint Igot from Mr. Sympfon of Mr. ‘Pappus’s Po- rifms, I faw that what he has there ingenioufly de- monftrated, might be confidered as a Cafe of the above-mentioned Defcription of a Conick Sedion, by the Rotation of any Number of Angles about as many Poles 5 the Interfedions of their Legs, in the mean time, being carried over fixed Right Lines, excepting that of two of them which defcribes the Locus. For by fubftituting Right Lines in place of the Angles, in certain Situations of the Poles and of the fixed Right Lines, the Locus becomes a Right Line; as for Example, in the Cafe of three Poles, when thefe three are in one Right Line, in which Cafe the Locus is a Right Line, which is a Cafe of the Porifm. ’Twas this led me to confider this Subjed anew; and firft I demonftrated the Locus to be a Conick Sedion algebraically ; and found Theorems for T 2, drawing ( ) drawing Tangents to it, and determining its Afymp- totes. I alfo drew from it at that time a Method of defcribing a Conick Se&ion through live given Points a. This encouraged me to fubftitute Curves for the Right Lines, to fee if by this Method 1 could be enabled to carry on my Theorems about the De- fcriptions of Lines through given Points to the higher Orders of Lines Some of the Theorems I found at that time, I now fend you. In Novem- ber 17x1, looking into Sir Ifaac's Trincipia , I faw that the Defcription of the Conick Section by three Right Lines, moving as above, about three Poles,, couid be immediately drawn from his xoth Lemma, which itfelf is a Cafe of this Defcription. This gra- dually led me to feek Geometrical Demonftrations for the whole, as far as it related to the Conick Sedions. I fend you fome Leaves of this Paper dated at Nancy , November 1711. Since that time, I have not added much to this Subject, but what relates to the drawing Tangents, determining the Afymptotes, and the Tuntta \ Duplica , or MuLtipli- cia of thefe Curves. I confidered it the lefs, that I did not find it more advantageous in any refpedls, than the Method I had confidered in my Book, or more genera!. In 1727 I added to a Chapter in my Algebra, which is very pubiick in this Place, an Algebraick Demonfiration of the Locus, when three Poles are employed ; and the Method of defcribing a Conick ■ <■ , ~ - •• : ; . ? . - -r • a The Paper on this Subject I havet is dated July 31, 1722, at Sea, lung then m my way to London, going for Cambray, Section 1 ( Mf ) Sedion through five given Points, fubjoining at the fame time, that if more Poles are employed, and Angies or Right Lines, the Locus was ftill a Conick Sedion ^ which I thought w^s a remarkable Property of the Conick Sedions not obferved be- fore. Thefe Things I intended to put in order, and publilh in the Supplement to my Book, a Part of which has been printed fmce the Year 1721. I have in my view alfo to give feveral other Things in that Supplement ; two of which, I fhall only juft mention at prefenr, becaufe I believe they are fo- reign to the prefent Affair. I fubjoin a Problem determining the Figure of a Fluid, whofe Parts are fuppofed to be attraded to two or more Centers ; and a Solution of a general Problem about the Col- Hfion of Bodies. The Author of the Papers given in to the Royal Society, will not refufe that l fhewed him the Theorems, I now fend you, in 1717. He owned it laft Summer at leaft : I am to publilh thefe very foon. Whether he has carried the Subjed farther, I leave to the Judgment of the Gentlemen to whom they were referred. As to the Demonftrations, it would take fome time to put them in a proper Form to be publifhed. You who have fo nice a Tafte of Demonftrations, willeafily allow, that it ought not to be done in a hurry. I could fend thofe that are Algebraick eafily ; but do not care to fend thofe that are Geometrical, till 1 have leifure. I could not have been called to this in a worfe Seafon of the Year than now, when I begin my Gaffes, and have few ( M8 ) few Minutes in the Day my own. I ought to make an Apology for this long Letter; but thought you was the Perfon of my Acquaintance moil proper to fend this to. I am, with great Efleem, SIR, Tour mojl obedient mojl humble Servant , Colin Mac Laurin. An AbJlraB of what has been printed fince the Year 1721, as a Supplement to a Treatife con- cerning the Defcription of Curve Lines pub • lifhed in 1719, and of rrbat the Author pro- pofes to add to that Supplement . I.T N the firft Part of the Supplement, there is a J[ general Demonftration given of the Theorem, that if two Lines of the Orders or Dimenfions, ex- prefs’d by the Numbers m and n, be delcribed in the lame Plane, the greateft Number of Points in which thele Lines can interfed each other, will be mn , or the Produd of the Numbers which exprefs the Dimenfions of the Lines, or the Orders to which they belong. If. In the next Part, Theorems are given for drawing Tangents to all the Curves that were de- fcribed in that Treatife by the Motions of Angles upon ( M9 ) upon given Lines. Their Afymptotes are alio de- termined by more fimple Conftru&ions than thofe which are fubjoined to their Defcriptions in that Treatife. Of thele we fhall give one Inftance here. Suppofe the invariable Angles {Fig. i and ^ ) F CG, K S H, to revolve about the fixed Foints or Poles, C and S. Suppofe the Interfe&ion of the two Sides C F, S K, to be carried over the Curve BQ^M, whofe Tangent at the Point CL is fup- pofed to be the Right Line A E ; and let it be re- quired to draw a Tangent at P to the Curve Line deferibed by P the Interfe&ion of the other two Sides C G and S H. Conjlruttion . Draw Q_T eonftituting the Angle SQT, equal to C QA,on theoppofite Side ofSQ> that A is from C Qj and let (^T meet C S (pro- duced if neceffary) in T. Join PT, and confti'tute the Angle CPN equal to S PT, on the oppofite Side of C P, that P T is from S P, and the Right Line PN fhall be a Tangent at P, to the Curve de- feribed by the Motion of P, which is always fup- pofed to be tbe Interfe&ion of C G and S H. x The i 150 ) The Afymptotes of the Curve, deferibed by P, are determined thus. Find, as in the abovementioned Treatife, when thefe Sides become parallel, whofe Interfe&ion is fuppofed to trace the Curve ; which always happens when the Angle CQ^S becomes equal to the Supplement of the Sum of the invaria- ble Angles F C G, K S H, to four Right ones, be- caufe the Angle CPS then vanilhes. Suppofe (in Fig. 3 and 4,) that when this happens, the Iuter- fedtion of the Sides C F, S K is found in Q. Conftitute the Angle S Q,T equal to C Q A, as before, and let Q_T meet C S in T. Take CN equal to S T, the oppofite Way from C that S T lies from S. Through N draw D N parallel to C G or S H, which are now parallel to each other, and D N fhall be an Afymptote of the Curve deferibed by the Motion of P. If in place of a Curve Line B Q.M,a fixed Right Line A E be fubftituted, then the Point P will de- icribe a Conick Sedion, whofe Tangents and A- lymptotes are determined by thefe Conftrudtions. In this Supplement, it is afterwards ihewn how to draw the TangentsandAfympotes of all the Curves which c *:** ) which are defcribed in the above-mentioned Treatife by more Angles and Lines. III. The fame Method is afterwards applied for to draw Tangents to Lines defcribed by other Mo- tions than thofe which are confidered in that Trea- tife ; of which the following is an Inftance. Sup- pofe that the Lines C P and S P revolve about the Poles C and S, fo that the Angle A C P bears always the fame invariable Proportion to ASP, fuppofe that of m to n. In the Line C S, take i> the Point T, fo that S T may be to C T in that fame Proportion of m to n ; and this Point T will be an invariable Point, fmce C T is toC S, as m— n to n. Draw T P, and conftitute the Angle S P N, equal to C P T, fo that P N and P T, may lie con- trary ways from S P and C P, and P N ihall be a Tangent of the Curve defcribed by the Motion of the Point P. Several other Theorems of this kind are fubjoined here. IV. After thefe, Lines or Angles are fuppofed to revolve about three or more Poles, and the Dimen- fions of the Curves with their Tangents and A- fymptotes are determined. Suppofe in the firft Place, U that ( 1*2 ) that the three Poles are C, S and D, and that Lines or Rulers C R, S Qj Qt D R, revolve about thefe Poles. The Line which revolves a- bout D, ferves only to guide the Motion of the other two, fo that its Interfe&ion with each of them being carried over a fixed Right Line, their Interfe&ion with each other defcribes the Locus, which is Ihewn to be a Conick Section. The Interfe&ion of QD R with S Q, is luppofed to be carried over the fixed Right Line AF; the Interfe&ion of the fame QD R with C R, is fup- poled to be carried over the fixed Right Line A E 5 and in the mean time, the Interfe&ion of the Right Lines S Q, C R, that revolve about the Poles S and C, defcribes a Conick Section. This Conick Se&ion pafies through the Poles C and S ; and if you produce D C and D S, till they meet with A Q and H R in F and E, it will alfo pafs through F and E : It alfo pafles always through A the Interfedtion of the fixed Lines QF and ERj from which this eafy Method follows for drawing a Conick Section through five given Points. Sup- pole that thefe five given Points are A, F, C, S and E : Join four of them by the Lines A F, F C, A E, E S, and produce two of thefe F C, E S, till they meet, and by their Interfedhon give the Point D; Suppofe infinite Right Lines revolve about this Point ( * 55 ) Point D, and the Points C and S, two of thole that were given, and let the Interfedtions of the Line re- volving about D, with thofe that revolve about G and S, be carried over the given Right Lines A E, C F-, and the Interfe&ion of thofe that revolve a- bout C and S with each other, will, in the mean Time, defcribe a Conick Sedtion, that lliall pafs through the five given Points A, F, C, S and E. It is then fhewn, that when C, S and D are taken in the lame Right Line, the Point P defcribes a Right Line as alfo when C, S and A are in the fame Right Line ; which allb follows from what is de- mon (Ira ted in that very ingenious Paper concerning ‘Pappus’s Porifms, communicated by Mr. Sympfon , ProfelTor of Mathematicks at Glafgovj publilhed in the Phil. Tranf. N°. 3 77. In the next Place it is Ihewn, that if four Right Lines revolve about four Poles C, S, D and E, and thofe that revolve about D and E, ferve only to guide thofe that revolve about C and S ; fo that Q, and R, the Interfecbions of that which revolves a- bout D, with thofe that revolve about E and S, be carried over the fixed Lines A B and A F ; and M the U ^ Inter- ( H4)) Interfedlioh of that which revolves about E with that which revolves about C, be carried over a third fixed Line B F, then the Interferon P of thofe that revolve about C and S , Will, in the mean time, deferibe a Conick Sedlion, and not a Curve of a higher Order. The Conick SedHon degene- rates into Right Lines, when CP and S P coincide at the fame time with the Line C S, that joins the Poles C and S, as in the preceding Description s which coincides again with what is demonftrated in the abovementioned ingenious Paper. After this it is Ihewn generally, that tho’ the Poles and Lines revolving about them be increafed to any Number, and the fixed Lines over which fuch Interfedtions, as we deferibed in the two laft Cafes, are fuppoled to be carried, be equally in- creafed, the Locus of the Point P will never be higher than a Conick Sedtion : That is, let a Poly- gon of any number of Sides have all its Angles, one only excepted, carried over fixed Right Lines, and let each of its Sides produced, pafs through a a given Point or Pole, and that one Angle which we excepted, will ei- ther deferibe a ftreight Line, or Conick Sedtion. Thus if a hexa- gonal Figure L R P M N, have all its Angles except- ing P carried re- Jpe&ively ( *55 ) fpedtVely over the fixed Right Lines A a, B b, Hb, K k, the Point P in the mean time will defcribe a Conick Section, or a Right Line. The Locus of P is a Right Line when C P and S P coincide toge- ther With the Line-C S. All thefe things are demon- ftrated geometrically. V. After this, Angles are fubftituted in place of Right Lines revolving about thefe Poles ; and it is ftilldemenfbated geometrically, that the Locus ofP is a Conick Section or Right Line. Suppofe that there are four Poles C, S, D and E, a- bout which the invariable Angles P C Q, PSR, RDM, M E revolve ; and that Q, M and R, the Interfedions of the Legs C Q,and E Q, of E M and D M, and of D R and S R, are carried over the fixed Right Lines A a, B 6, and G g refpedively, then the Locus of P is a Conick Sedion, when C P and S P do not coincide at once with the Line C S, but is a Right Line when C P and S P coincide at the fame time with C S, and never a Curve of a higher Order. VI. Having demonftrated this which leems a re- markable Property of the Conick Sedions or Lines of the Second Order ; I proceed to fubftitute Curve Lines in place of Right Lines in thefe Defcriptions, (as I always do in the Treatife concerning the De- fcription ( 1 5^ ) ... fcription of Lines) and to determine the Dimen- irons of the Locus of P, and to lhew how to draw Tangents to it to determine its Afymptotes, and other Properties of it. I had obferved in 1719, that by increafing the Number of Poles and Angles beyond two, the Dimenfions of the Locus of P, did not rife above thofe of the Lines of the Second Or- der, while the Interfedions moved on Right Lines ; and therefore I did not think it of ufe to me then to take more Poles than two, fince by taking more, the Defcriptions became more complex without any Advantage. When the Interfedions are carried over Curve Lines, the Dimenfions of the Locus of P rife higher, but the Curves defcribed, have Tunffa 'Duplicia, or Multiplicia , as well as when two Poles only are affumed ; and therefore this Specula- tion is more curious than ufeful. However, I fhall iubjoin feme of the Theorems that I found on this Subject concerning the Dimenfions of the Locus of P, and the drawing Tangents to it. 1. If in Fig . 6. youfuppofe Q^and R to be car- ried over Curve Lines of the Dimenfions m and n relpedively, then the Point P may defcribe a Lo- cus of 2 m n Dimenfions. 2, If in Fig . 8, you fuppofe L, Q, R, M, N, to be carried over Curve Lines of the Dimenfions w, //, r, sy ty refpedively, the Locus of P may arife to 2 mnr st Dimenfions, but no higher ; and if in place of Lines revolving about the Poles, you ufe invari- ble Angles, the Dimenfions of the Locus of P will rife no higher. V 01 n . c muiKpi-r 0 1 ( >57 ) 3.1 then aflumed three Poles C, D and S, and fuppofed one of the Angles SNL, to have its angular Point N carried over the Curve A N, while the Leg N pafTes always through S, as in the Defcription in the Treadle of the General Defcription of Curve Lines, while the Angles QJD R> RCP, revolve about the Poles D and C : I fuppofe alfo the Interfedions Qjind Rto be carried over the Curve Lines B Q, G R, and that the Dimenfions of the curve Lines AN, B Q, GR, are /;/, r, re- Ipedively ; and find that the Locus of P may be of 3 mnr Dimenfions; but that the Point C is fuch, that the Curve pafles through it as often as there are Units in inmr. 4, If any number of Poles are aflumed, fo as to have Angles revolving about them, as about C and D in the laft Article, and the Interfedions are carried over other Curves, the Dimenfions of the Locus of P will be equal to the triple Produd of the Number of Dimenfions of all the Curves employed in the Defcription. 5. If the invaria- ble Angles P N R, A P M move fo that while the Sides P N P M, pafs alway through the Poles C and S, the angular ( i?8 ) Points N and M defcribe the Curves A N and BM ; and at the lame time, the invariable Angle R D Q» revolve about the third Pole D, lb that the Inter- fe&ions R and Q_ defcribe the Curves E R and G Q_ j then the Dimenfions of the Locus of P, when higheft, lhall be equal to the quadruple Product of the Num- bers that exprels the Dimenfions of the given Curves AN, E R, G Q_ and B M, multiplied continually into each other. If more Poles are afiumed, about which Angles be fuppofed to move, as R D Qmoves about D in this Defcription, and the Intericdtions of the Sides be Hi II carried over Curves, as in this Example ; the Dimenfions, of the Locus of P, when higheft, lhall ftill be found equal to the quadruple Producft of all the Numbers that exprefs the Dimen- lions of the Curves employed in this Defcription. 6. Suppofe that the three invariable Andes P Q_K, K L R, R N P, move over the Curves G Q EL, AN, fo that the Sides P Q, K L, P N pro- duced, pals always through the Poles C, D, S, and that the Interfedrions of their Sides K and R, at the fame time move over the Curves F K and B R • and ( ) and the Dimenfions of the LocuS of P when higheft, fhall be equal to the Froduft of the Numbers that exprefs the Dimenfions of the given Curves multiplied by Six. If more Poles, with the neceflary Angles and Curves, are affirmed betwixt C and D, as here D is affirmed betwixt C and S, and the Motions be in other refpe&s like to what they are in this Example ; then in order to find the Dimen- fions of the Locus of P when higheft, raife the Number 2 to a Power whofe Index is lefs than the Number of Poles by a Unit ; add 2 to this Power, and multiply the Sum by the Produd of the Numbers that exprefs the Dimenfions of theCurves employed in the Defcription ; and this laft Pro dud '(ball fhew the Dimenfions of the Locus of P when higheft. I am able to continue thefe Theorems much far- ther : But it is not worth while, efpecially fince I find that there is not any confiderable Advantage obtained by increafing the number of Poles above the Method delivered in the abovementioned Trea- tife of the Defcription of Curve Lines. On the contrary, the Defcriptions there given by means of two Poles, will produce a Locus of higher Di- menfions by the fame number of Curves and Angles, than thefe that require three or more Poles; and are therefore preferable, unlefs perhaps in fome par- ticular Cafes. VII. However, I have alfo found how to draw Tangents to the Curves that arife in all thefe De- fcriptions ; of which I fhall give one Inftanee where three Right Lines are fuppofed to revolve about three Poles, and two of their Interfedions are fuppofed ( 1^0 ) to be carried over given Curve Lines, and the third defcribes the Locus required. Let the Right Lines CQ, SN,DN, revolve a- bout the Poles C, S, D, where that which revolves about D, ferves to guide the Motion of the other two ; its Interfe&ion with C Q_ moving over the Curve G Q, while its Interfe&ion with S N moves over the Curve F N. Suppofe that the Right Line B b touches the Curve G in CL, and that the Right Line A a touches the Curve F N in N. In order to draw a Tangent to the Locus of P ; join D C, DS and C S, and conftitute the Angle D Q.R, equal to C Q_B, fo that Q_R lie the contrary way from Q^D that Q^B lies from Q_C, and let QJR meet D C in R. Conftitute alfo the Angle D N T, equal to S N A with the like precaution, and let N T meet D S in T. Join R T, and produce it till it meet C S in H ; then join P H, and make the Angle C P L equal to S P H, fo that P L and P H, may lie contrary ways from C P and S P; and P L ftxall be a Tangent at P, to the Locus described by P, the Iuterfedion of C Qjtnd S N. I have ( 161 ) I have alfo applied this Doctrine to the Defcrip- tion of Lines through given Points. But I fuppofe I have faid enough at prefent on this Subjedt; and fhall conclude, after obfervingthat in the abovemen- tioned Treatife, I have given an eafy Theorem for calculating theEefiftance of the Medium when a given Curve is defcribed with a given centripetal Force in a refilling Medium, which I ihall here re- peat, becaufe it has been mifreprefented in a foreign Journal. Let V exprefs the centripetal Force with which the Body that is fuppofed to defcribe the Curve, is' adted on in the Medium ; let v exprefs the centri- petal Force with which the fame Curve could be de- V fcribed in a Void j fuppofe .3= — , and the Refi- nance Ihall be proportional to the Fluxion of z> mul- tiplied by the Fluxion of the Curve, fuppofing the Area defcribed by a Ray, drawn from the Body to the Center of the Forces, to flow uniformly. Let this Theorem be compared with what the celebrated Mathematician mentioned by that Journalill has given on the fameSubjedt, and it will eafily appear what judgment is to be made of his Aflertion ; and fince leveral Perfons, and particularly the Gentleman mentioned above in this Paper, tellify that I com- municated to them rhis Theorem before any Thing was publiihed on this Subjedt by the learned Ma- thematician he names, his Obfervation on this Oc- cafion mull appear the more groundlefs. From this Theorem, I draw this very general Corollary, that if the Curve is fuch as could be de- fcribed in aVoid by a centripetal Force, varying ac- X z cording ( 1 6 Z ) cording to any Power of the Diflance, then the Den- fity of the Medium in any place, is reciprocally proportional to the Tangent of the Curve at that place, bounded at one Extremity by the Point of Contact, and, at the other, by its Interfe&ion with a Perpendicular raifed at the Center of the Forces to the Ray drawn from that Center to the Point of Conrad. Let A L be the Curve defcribed by a Force directed to the Point S ; let L T touch the Curve at L, andraife S T per- pendicular to S L, meeting L T in T, and the Denfity in L lhall be univerfely as L T, if the Refiftance be fuppofed to obferve the compound Pro- portion of the Denfity, and of the Square of the Velocity. Befides what I have obfcrved here, I propofe to iliuftrate and improve feveral other Parts of the Treatife concerning the Defcription of Curve Lines in this Supplement. That Treatife requires thefe Additions and Illuftra- tions the more, that tho* the whole almoft was new, it was publifhed in a hurry, when I was very young, before I had time to confider fufficiently which were the beft ways of demonftrating the Theorems, or re- folding the Problems, for which this Supplement I hope, will make fome Apology. N. B. The following Taper , dated at Nancy, Novem. 27, ijizfis that which the Author mentions in his Letter . SECTIO ( l*3 ) S E C T I O I. 'Prop. i. §)u£ refpicit defcriptionem Lineantm i. Circa Polos C, B, D, moveantur recftas Cd, B Dr, & dacacur concurfus crurum B/z?,D r per redam datam PG, concurfus crurum C d, Dr per redtam PQ^etiam datam & concurfus crurum C dy B d feCtio- nem conicam defcribet. Ducatur r t parallela reitae BDpofitione datas oc- currens reCtae B d in t ; jungatur P t 8c producatur donee occurrat redhe B D in F ; atque dabitur pun- ctual F. Quippe cum detur ratio r u ad r t, eadem enim eft ac D G ad D B, ob fimiles figuras D m B G &rmta fita; r u ad r t, ut Q_G ad Q^F, dabitur etiam ratio Q F ad Q^G 5 adeoque ob datam Q^G dabitur F, <3c proinde punCtum F & reCta P F. Cum igitur B t <5c Cr partes abfeindant P t, Pr,a reftis pofitione datisP F, P Q,indatafemper ratione erit illarum concurfus d in fe&ione conica per Lem- ma 10. Lib. 1. Princip. D. Neutoni. Si punda F, C, G S, ut Polos moveantur, re&te F Q, C N, G Q> S L Sc concurfus redarum FO ( >«4 ) Si pundum D fumatur ubicunque in reda B F, fit- que femper D G ad QG utB D ad Q_F, eadem erit lectio conica quam d deferibet. Sedio conica tranfit per C, P, B & a compiendo parallelogrammum, P Tranfit etiam per L ubi reda B G produda occurrit ipfi P q, ut etiam per K ubi recta C D fecat datam P G. Unde pentago- num PKCLB fedioni inferibitur. Et fi detur quinque punda C, K, P, B, L, per qute ducenda eft fedio conica vel circa pentagonum datum C L B P K circumfcribenda fit fedio conica producantur duo qusevis latera C K, L B ad occurfuib fuum D dein jungantur reliqua P L, P K & ducantur femper con- curlus redarum C d, D r ; ]3 d, D R per redas illas PL, PR, & concurlus d fedionem deferibet. ( 1*7 ) FQ&CN, FQ & GQ, GQ^&SL, pundte fcil. M, QjL, temper contingant redas pofitione datas AE,BE}HL; & concurfus redarum C N, S L de- fcribet tedionem conicam. Occurrant redas AM, HR ipfi B QJn E & H# Jungantur CF & GS quas fibi mutao occurrunt in D, juogatur D Q^quas occurrat redis C S L in N & R ; & fi jungantur E N, & H R, ertint EN& H R, redas pofitione datas per Lemma 1*. Quippe cum fint punda F, C, D? in eadem reda Linea & •oncurfus redarum F M, C M & F Q^, D Q^percur- rant datas redas, concurfus crurum CM,DQ, etiam continget datam. Et fimili ratione cum fint S, D, G in eadem reda concurfus redarum D S L etiam continget datam. Omiffis igitur Polis F & G, invenienda eft curva quam concurfus redarum CN, SL, viz. Pdeteribet dum redis CN,DN,SR revolventibus circa Polos C/D, S concurfus redarum C N, D N contingit datam EN& concurfus redarum S R, D N contingit da- tam H R, earn vero fedionem efie conicam ex Prop, prascedenti eft manifeftum. N. B. The Tapers referred to were pubUJhed in a little Treatife entituled , Exercitatio Geometrica de defcriptione Curvarum. Lon - din. 1733. VI. A ( 1 66 ) t * ~ t f) r'\ . /~S vi -r jir ' v v o r*r ■ ? • * ' » I \ I T' i 'A ■ : '1 " | t 1J VI. J Letter from Stephen Gray, F. (^. S. to Dr. Mortimer, Seer . (2^. S\ containing fome Experiments relating to Ele&ricity. TH E following Lines contain an account of what Eledtrical Experiments I have made fince thole I laft communicated to the Society which was in February laft. February the 1 8th, I tried what Effed: would be produced on feveral Sorts of Wood with refpedt to the luminous Part of Eledricity : the Wood was made into Rods of the fame Form with thole Iron Ones mentioned in my former Letter upon this Subjed ; the Woods made ufe of were Fir, Alh and Holly, thefe being fuccellively difpofed upon Elec- trick Bodies, after the fame manner as the Iron Rods had been , the Tube being applied to one End, there appeared a Light on it, but not with lo great a Force, nor did the Light extend to fo great a length ; neither was the Form of it Conical, but rather Cy- lindrical i but the Extremity of it feemed to confift of a fhort Fringe of Light ; when the Light, that was given to the Rod by the application of the Tube, did ceafe, upon a motion of my Hand towards the Point of the Rod, the Light came out again, as has been mentioned of the Iron Rods ; but when the Hand or Finger was held near the Point of thele wooden Rods, there was no pricking or pufhing of the Finger felt, as when the IronRods were made ufe of I had fome of thefe Rods made much bigger at one End than the other, and now applying my Finger ^to i ( x67 ) to the larger End, there not only appeared a Light, but the Finger was pulhed, more elpecially when the Holly Rod was made ufe of, and the Cheak was a little prick’d, but the Smart was not near fo great, as when the Iron Rods were ufed ; the great End of the Rod was pointed with a much larger Angie then the lefler one, yet there was very little, if a- ny difference, in the form, or bignefs of the Light that proceeded from either End. Having procured me two pair of Lines made of Worded Yarn, one of them of a Mazareen Blew, the other of a Scarlet Colour ; on the 3d of Aprils I fufpended the Boy firft on the Blew Lines, and found that all the Effects were the fame, as when he was fufpended on Lines of Blew Silk. I then luft pended him upon the Scarlet Lines, but now though the Tube were as well excited, and the Ex- periment often repeated, yet there was no Effeft produced on him, either of attraction of a pendulous Thread, nor of pricking or burning, by applying one’s Hand near him ; I then laid one of the Iron Rods firft upon the Blew Lines, and all the fame Effects were exhibited, as when the fame Rod had been laid on Silk Lines of that Colour; but upon laying the fame Rod upon the Scarlet Lines, no manner of attraction, &c. was perceived. In the Philofophical TranfaCtions, Numb. 422^ 1 gave an Account of the Experiments I made upon the communicative Electricity of Water, and that Water is attracted by the Tube, together withfeve- ral remarkable Circumftances with which this at- traction is attended ; but I have now found, that when the Stand with thofe little Ivory Cups there Y men- ( i6S ) mentioned, be fet upon any EleCtrick Body, the lame Phenomena are produced, not only by hold- ing the Tube near the Water, but when that is re- moved, and the Tip of the Finger placed over the Water, viz. there is a little Hill, or Protube- rance of Water of a Conical Form, from the Ver- tex of which proceeded a Light and a fmall Snapping. May the 6th, we made the following Experiment. The Boy being fufpended on the Silk Lines, and the Tube being applied near his Feet asufualj upon his holding the End of his Finger near a Gentleman’s Hand, that flood on a Cake made of Shell Lack and black Rofin ; at the fame time another Gentleman flood at the other fide oftheBoy with the pendulous Thread ; then the Boy was bid to hold his Finger near the firft Gentleman's Hand, upon which it was prick’d, and the fnapping Noife was heard ; and at the fame time, the Thread which was by its at- traction going towards the Boy fell back, the Boy- having loft a great part of his attraction, upon a fe- cond moving his Finger to the Gentleman’s Hand, the attraction ceafed : then the Thread being held near that Gentleman, he was found to attrad very ftrongly ; but having fince repeated this Experi- ment, I find that though the attraction of the Boy is much diminifhed, yet he does not quite loie it, till 3, and fometimes 4 applications of his Finger to the hand of him that ftands on the Eledrick Body, but without touching him. At another timelcaufed three Perfons to ftand, one of them upon a Cake of Shell Lack, <&c. the other upon one of Sulphur, the third upon a Cake of Bees- Wax and Rofin ; the Perfons all holding Hands, the Boy applying his Finger ( i*9 ) Finger near the firfl: Man’s Hand, they all three be- came Eledrica 1, as appeared by the attraftion of the Thread, when held near to any of them, POSTSCRIPT. A Repetition offome of thefe Experiments, and an Addition offome others made June the io th. June the ioth in the Morning, I repeated the Experiments vvith the Wooden Rods, the molt ma- terial Ones of which were made with the Holly Rod : This being laid on the Glafs Cylinder, and a Fir Board about a Foot Square and three tenths of an Inch thick being placed ereCt upon a Stand, that was fet on another Glafs Cylinder, fo that the Center of the Board was placed near the Point of the Rod, but not to touch it by near half an Inch ; then the Tube being held near the great End of the Rod, there iffued out a Light from the little End of the Rod, which was that next the Board ; and, as the Boy told me, it came along with a hilling Noile, and ftruck againfl the Board : When he touched the Board, there was a Light:* and, at the fame time, a- nother on the End of the Rod, but he heard no fnap- ping nor pricking of his Finger, as when the Brafs Plate and Iron Rod were made ufe of. Experiments with the Scarlet and Blue Worfied Tarn repeated , When the Boy was fufpended upon the Scarlet Lines, he attracted the white Thread at a very fmaii Diftance, but the Attraction ceafed in about 6 or 7 Seconds of Time. Then the Boy being taken off, an Iron Rod was laid on the Lines, but there was Y 2 BO ( 170 ) no attraction of the Thread by the Body of the Rod ; but when the Thread was held near either of the pointed Ends of it, there was a fmall Repul- flon of it, and in the Dark a very fmall Light was feen at each End of the Rod. When the Boy was fufpended upon the Blue Lines, he attracted the Thread to him when it was held at leaft a Foot diftance from him, and continued his attraction to near 75 Seconds, the Iron Rod continued its attraction not more than 36 Seconds. Experiments made in the Afternoon upon the Boy when he was fufpended upon Silk Lines of leveral Colours. When he was fulpended on the Blue Lines, he continued his Attraction jo Minutes, 011 the Scar- let Lines 25 Minutes, on the Orange coloured Lines 21 Minutes. By thefe Experiments we fee the Efficacy of Electricity upon Bodies fufpended upon Lines of the lame Subftance, but of different Colours, and alfo that the Attraction continues much longer upon Silk than upon Yarn, and confequeutly Silk is the propereft Body we can make ufe of to fufpend thofe Bodies upon, to which we would communicate an Electricity : But of this Subject more when I ffiall xeaffume the Experiments concerning the Influence of Colours upon Electricity j who am, SIR, Charter Houfe ,, June 12, 1735. Tour's and the Society's moft Humble and obedient Servant , Stephen. Gray. ( 1 7 1 ) VII. An Account of the Births and Burials with the Number of the Inhabitants at Stoke- Damerell in the County of Devon. Communicated by the ($e' Verend Mr . Barrow. SEveral Accounts of Births and Burials having been publifhed for the Satisfaction of the Curi- ous; the following, which in one Refpe£t (the Number of Inhabitants) is more particular than molt I have feen, will, I hope, be acceptable to the Publick. A Survey being taken about Michaelmas 1 733, of the Inhabitants of Stoke Earner ell in the County of ‘Devon, the Number of Perfons, Men, Women, and Children, refiding in the Parilh, amounted to 3361. By the Regifter, I find that in the fame Year, 28 Couple were married, 61 Males and 61 Females baptized, and 6 2 People buried, Bapized. Buried. Number of People. 122. 62. 3361. Whence it appears that the Number of Perfons who died, is one more than half the Number of Children born ; and that about 1 in 5*4 died. It is to be obferved, that the General Fever, which almoft all the Inhabitants of the fame Place were ill of at the fame time, was in part within the Year mentioned : alfo that one of the Perfons in- cluded in the Number of thofe buried, was a Fo- reigner brought from on board a Dutch Ship in the River; and that 2 more were drowned from on board a Man of War; but the Ships Companies are not included in the Number of the Inhabitants. Not from this Account only, but from Experience and Obfervations, both of my felf and better Judges* I ( 172 ) I reckon the Parifli of Stoke •‘Darner ell as healthful an Air as any in England . V ill. An Extraordinary Cafe of the Foramen Ovale of the Heart , being found open in an A- dnlty communicated by Claudius Amyand, Efq 5 Serjeant Surgeon to his Majefty, and F. ^ S. MR * dyingat the Age of T wenty-two, of an Illnefs that had perplexed hisphyficians, was opened, codifcoveran lmpofthume, which was apprehended in the Belly. As nothing was obferved there worth notice, faving a very great Relaxation of the Vz/cer a, the Caufe of his Death was looked for in the Tho* rax\ there the Lungs were ftrongly attached to the Pleura on each Side, and a large Colledfion of Wa- ter in each Cavity, efpecially on the Left, where the poflerior Lobe was inflamed, and tending to Suppura- tion $ the Quantity of Water in the Pericardium was greater than ufual, and the Heart much larger than could be expe&ed in fo great an Atrophy as the Pa- tient was reduced to *, in it the Foramen Ovale was found open, fo as to give pafTage to a large Finger, when a fungous Subftance, which grew from the Cir- cumference of the Foramen , and did flop up the fame, was removed. The Valve was hardly percep- tible, it being callous and furled up. Th z'Duftus Arteriofus was found clofe as ufual. This Patient had enjoyed great Health till lately, and had given no fign of this opening of the Foramen Ovale , which is prasternatural in Adults. E R RATA; Pag. 146. I.'ai. r. Duplicia. Pag. S' dele N. B. &c, all the 4 lines at the bottom* TL-1J9. /. - J’hilo-zoph. TranJ-ad. 91 1 4 4 o . of yiipitc//)i'3cUcUUi, ? .4 45 •3 2-© 4- 2 3 • cu 46 ‘4 3. J-© 3 4 >3 0 .2 47 N 10 3 4 4* Qj ? .3 48 i- 3. £> 0 . 4 5' 4‘ ’3 ©2* / 43 3 • 2C 4 <# 4. 2 * 0 *3 5° 40.2 3 .4 7 •3 - © < :/ 5 1 1 2© 3 .4 3 '4 2- 2. © -3 51 1 -30 ? 9 ' a« J- £ *3 53 4 3- 4 4 73 2-© -2 5* 4 ^-O-9- j 3 C^.2 53 '4 ■*•.© -3 / '$ O *'.3 .-4 0o 4' 5 i •* e 1 1 2. ' €> 4 61 ±_ 1 8 2 € J .2 .4 62 3 ’ €- 2 . 4. 1L) ■ 3 €U -i 14 53 3 - ;* € 4- 20 •4 € *.3 04 2’ 4.. 2 C 'j zz •4 __ « • 0 3- .2 g5 2‘ ^ 2.© . 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PHILOSOPHICAL TRANSACTIONS For the Months of January , Febr. and March , 1736. The C O N T E N T S. I. A Catalogue of the Fifty Plants from Chelfea Garden ,prefented to the Royal Society by the Company o/Apothecaries, for the Tear 1734, purjuant to the Direction of Sir Hans Sloane, Bar*- Med. Reg. Dr ref. Col. Reg. Med. & Soc. (Reg. 'Ey Ifaac Rand, Apothecary , F. R. S. Jrlort. Chei Dr ref. ac Drrelec. Dot an. II. The apparent Times of thelmmerjions and Emer- fions of Jupiter’s Satellites, which will happen in the Tear 1737. Computed to the Meridian of the Royal Obfervatory at Greenwich,^ James Hodgfon, F. R. S. and Majler of the Royal Mathematical School in Chrift-Hofpital, London. III. The apparent Times of fuch of the Immerfions and Emerfions of Jupiter’* Satellites, as are Vifible at London in the Tear 1737. Dy James Hodgfon, F. R. S'. IV. A Dropofition relating to the Combination of Tranfparent Lens’s with Reflecting Planes. 2$yJ. Hadley, Efq 5 V. Dr. R. S. Communicated to the Royal Society, January 5), 1734. V. An The CONTENTS. V. An Account of a large Bony Subfiance found hi the Womb, which was Jhewn to the Royal Society, May the 17th, 1733, by Edward Hody, M T>. F . (Z^.S. VI. Some Experiments concerning //^.Impreg- nation' of the Seeds of Plants, by James Logan, Effo Communicated in a Letter from him to Mr. Peter Collinfon, F. % S. VII. Some Obfervations of Eclipfes of Jupi- ter’s Satellites, made by Geo. Lynn, £/jj at Southwick, near Oundle in Northampton- shire 3 Communicated in a Letter to James Jurin, M.D.F. S. and Fellow of the Royal College of Phyficians, London. yin. A Letter from Mr • Tho. Jones to James Jurin, M. 2). F. (R.S. and Fellow of the Royal College of Thy ficians ^concerning the HighTide in the ^iverThames, on Feb. 16, 173 y6, IX. AfFe&us Cutaneus fingularis, ab Abra- hamo Vatero, Amtomes Lot ante es in Academia Wittembergenfi Trofeffore publico , (ft. 6'. S'. Regali Societati communicatus. X. Experiments concerning the Vibrations of Pendulums. Ly the late W. Derham, T>. T>. F. Tv. S. and Canon of Windfor. XI. The Confirmation and Ufe of Spherical Maps, or fuch as are delineated upon Tortious of a Spherical Surface. 6x3. Ge* (• *75 ) 6i 3* Genifta tin&oria maxima Auftriaca. D. Boerhaave. 6x 4. Granadilla flore albo, fru&u reticulato. Boerh. Ind. 82. 61J. Granadilla oblongo acuminato folio, flore purpureo. An Granadilla folio oblongo ferrato^ fore purpureo. D. Houftou ? 616. Lapathum iEgyptiacum aanuum; Parieta- riae folio ; capfula leminis longius barbata. H. Pilan. 6 27. Lapathum aquaticum j folio cubitali. C. B. ix6. 628. Lapathum hortenfe, rotundifoliiun five montanum, C. B. 1 1 5. 629. Lapathum rotundifolium, maximum, q. Rhaponticum Officin. 630. Lapathum fativum. Dod. 618. q. Ratien- tia Officin. . . f> 631. Medicago annua Trifolii facie. T. Tuft. p. 412. 632. Medicago maritima trifolia annua polyear- ; pos j fru&u toroio non fpinolo. D. Michelf, Hort. Pi£ p. no. 63 3. Perficaria perennis repens latifolia. 63+. Pulegium anguftifolium. C.B 222. Tu legitim Cervinum. Offic. 615. Pulegium anguftifolium flore albo. H. Reg. Par. Plant a ejl precedent e fere triple* major . 636. Pulegium latifolium. C. B. 222. 637. Pulegium latifolium eredum. 638. Scorpioides 3 Bupleuri folio. C.B. Pin. 287. Z 2 639. Scor- C ) ;639;:ScorpioidcS filiqna . crafla Boelii. Gcr. Emac. App- *627. 640. Scorpioides fiHqua ftriata, minus afpera. 641. Scrophularia flore luteo. C.B. 136. 642. Scrophularia folio UVtira:. C. B. 23 <5, Scrophularia peregrina. Cam, Hort. Icon. 43.. 643. Scrophularia Lamii folio. D. Bobarc. 644. Scrophularia nemorenfis j folio Urtica: rugofo ; flore atro-punicante. H. C. Boerh. Ind. Alt. 2314- aui 64?. Scrophularia Orientalis foliis Cannabinis. T. Cor. 9. 646. Scrophularia Sexatilis, lucida, Laferpitii Maffilienfis fol iis. Boc. Mul' 166. 647. Scrophularia Scorodonise folio. Mor.Hift. Ox. 48a. 648. Tragopogon Gramineo folio ; fuavcru- bente flore.- Col. 23F. 649. Tragopogon luteum, foliis gramineis 4 caule purpurafeente. Boerh. Ind. Air. p. 90. 6 $o. Xeranthemum flore fipplici purpureo mraere; T. Inft. 499. JipH (iloiioil . • . >q dl p • ' .c * i .(■ A'A « v 1 .. ( . 'J l fi ) • v. \ » l ’C '* % i U ' W T, ^ \\ \\ jA. o&z mo fi i- jikAii::.-:; - •AM :- ■ : V',’. ; ^ K'. .W.7 ■ Y. U: The JL . fj :l\1. A : J _ .oik . - ; iohicy. :o:A A ; \ V *. .;*rb a S ( i *77 ) -./.Vi > -esaiUoH v'y\«> %v>vV? ’ *; . ri« The apparent Times of the Immerfions and Etnerfious of Jupiter’s Satellites, which will happen in the Tear 1737. Computed to the Meridian of the Royal Obfervatcry at Greenwich, by James Hodgfon, F. %. S. and Majler of the Royal Mathematical School in Chrift-Hofpital, London. I - - •" : . • OI ; . , i . : i ;> A • o * f. s The apparent Times of the Eclipses of the Fir ft Satellite of Jupiter. D. H. M. D. H. M. D. H. M. ( it 0 i March-. April. v' I "M Janua'ry, 1 2 Immerfions M A . Immerfions. Emerfions. 3 10 53 22 2 0 37 M 1 8 23 A 4 4 5l A 3 7 6 A t 2 3. 1 A 6 11 20 M 5 1 35 A & 9 *9 M 5 49 M 7 8 4 M t 9 47 M- 9 1 1 18 A 9 2 33 M 4 TO I'3 A 11 6 47 17 A 10 9 2 A 10 4 44 A x3 1 A 12 3 31 A 12 n 12 M !5 7 46 M 14 10 p M 14 5 40 M l7 2 *5 M 16 '' . I > 4 28 M 17 6 37 A iS 8 44 A Mr 10 58 A 1 9 1 5 A 20 , * 3 13 A *9 ■•5 26 A 7, 22 9 42 M 21 11 55 M February. 24 14 1 1 M 23 6 24 M S' Immerfions . ■ 25 27 29 id 5 41 6 A A 25 26 0 7 52 21 M A 25 3 54 A r i 39 M ; 28 1 r j 50 A 27 9; 23 M 3i 6 8 m! 30 8 r8 M May {(*7$) The apparent Times of the Eclipses of the firfl ■ Satellite of Jupiter. ■ ■ . D. H. M. D. H. M. . - 13 2 5 * A May, 15 8 34 M Immerfions • 17 18 3 9 2 30 M A 2 2 47 M 20 3 58 A 3 9 15 A 22 10 26 M 5 3 44 A 24. 4 . 55 M ‘V v' 7 10 12 M 25 U 23 A 9 4 45 M 27 5 5i A 10 11 9 A 29 0 !9 A 12 14 1 6 18 19 21 23 25 26 3l 0 34 1 1 7 1 5P 8 27 M 2 56 M 9 24 A A M M A A M. H. D. July. 28 3 52 .30 IO 20 A A M June. IrfJmerfions. 4 48 1 11 17 5 4^ *3 4i 9 36 itbibn •: \ August. Immerfions. 2 3 22 M 3 9 5? A 5 4 '20 A 10 49 M 18 M 47 A 16 A ■7 9 5 10 11 12 1 . 2 4 6 o 8 6 10 1 11 7 A A A M M Immerfions 16 7 15 M r^.T 18. 1 .44 M 1 6 48 M l9 8 13 A 3 1 l6 M 21 2 42 A 4 7 44 A 23 9 11 M 6 2‘ 13 A 25 3 4i M 8 8 4i M 26 10 IQ A 10 3 9 M 28 4 39 A 1 1 9 38 A 30 11 7 M 13 4 6 A 1 5 10 35 M September • i7 5 4 M 18 1 1 32 A ) jtiw Emerfions. T 1 20 6 1 A O T 22 0 29 A 1 - - I 7 51 M 24 6 58 M 3 2 21 M 26 1 27 M 4 8 50 A 27 7 56 A 6 • 3 19 A 29 2 25 A 8 9 49 M 31 8 53 M 10 4 1 8 M Septem- ( 17? ) The apparent Times of the Eclipses of the frjl Satellite of Jupiter. D. H. M. D. H. M. D. H. M. r3 7 34 A 21 6 3 A September, 15 2 3 *A 23 0 3i A EmeiTions. !7 19 8 3 31 0 M M 25 2 7 6 59 27 M M i i 10 47 A 20 9 29 A 28 7 55 A 5 17 A 22 3 58 A 30 2 23 A 15 1 1 46 M 24 10 27 M l7 6 15 M 26 4 56 M December i9 0 43 M 27 if 25 A Emerfions. 20 7 14 A 29 5 53 A 2 8 51 M 22 1 43 A 31 0 22 A 4 3 J9 M 24 2 6 8 2 l3 43 M M November. 5 7 9 4 47 1 5 A A 27 £9 9 3 11 40 A A Emerfions. 9 1 1 10 5 44 12 M M 7 £ 2 6 51 M 12 n 40 A October. 4 1 *9 M r4 6 8 A Emerfions. 5 7 48 A 16 0 35 A M 7 2 16 A !9 7 3 M I 10 IO 9 8 45 M 20 1 3 1 M 3 4 39 M 1 1 3 13 M 21 7 59 A 4 1 1 8 A 12 9 42 A 23 2 28 A 6 5 37 A i'4 • 4 10 A 25 8 56 M 7 8 0 6 A 16 10 38 M 27 3 24 M 10 6 35 M 18 5 26 M 28 9 52 A 12 1 5 M *9 11 35 A 30 4 20 A - v \ IS 0 - ; £ A The ( ( rSo }; Satellite Sf JupltpX D. H. M. January. E;nerfions. 4 o 39 M H 1 19 A 27 3 4 8 M 30 4 37 A D. H. _M . * — ■ ' ' |V^,— ■ April. Immerfions. 3 5 5* * 3 * 5 6 * ft 6 7 15 A 10 8 33 M 13 9 52 A 17 11 11 M 24 O 29 M 24 i 48 A 28 3 6 M May. Immerfions. 1 4 24 A 5 5 42 M 8 7 o A 12 8 18 M 15 9 35 A 19 40 53 M 23 O |2 M 26 i 27 -A 30 '2 45 M June. Immerfions. 2 4 2 A 6 5 19 M D. A. M. 9 6 36 A 13 7 54 M 16 9 11 A 20 10 28 M 23 ii 4-5 A 27 1 3 A July. Immerfions. 1 z zo M 4 3 38 A 8 4 56 M n 6 13 A 15 7 31 M 18 8 50 A 22 10 8 M 25 11 26 A 2P O 45 A August. Immerfions/ 2 2 3 M 5 3 22 A 9 4 41 M 12 6 o A 16 7 19 M 19 8 33 A 23 9 58 M 26 11 17 A .3° 1 2 37 A Septem- I ( i8> ) The apparent Times of the Eclipses of the fecond Satellite of Jupiter. D. H. M. September. Emerfions. 3 4 43 M 6 6 2 A 10 7 22 M 13 8 4.1 A 17 10 1 M 20 11 20 A 24 o 40 A 28 1 59 M October. Emerfions. 1 3 19 A D. H. M. 5 4 38 M 8 5 57 A 12 7 16 M 15 8 35 A 19 9 S4 M 22 11 12 A 26 0 31 A 3a 1 49 M November. Emerfions. 2 3 7 A 6 4 25 M 9 5 46 A 7 1 M 16 8 18 A | D. H. M. 20 9 35 M 2 3 1° 53 A 27 o 10 A December. Emerfions. 1 1 27 M 4 2 44 A 8 4 1 M u 5 ?7 A 15 6 34 M 18 7 51 A 22 9 8 M 25 10 25 A 29 11 42 M The apparent Times of the Eclipses of the third Satellite of Jupiter. D. H. M. D. H. M. D. H. M. January. February. Emerfions. Immerfions. 8 ' 2 3 M 2-7 2 42 M 15 6 1 M March. Immerfions. 6 6 45 M 13 10 48 M 20 2 $1 A 27 6 54 A April Aa ( »8i ) The apparent Times of the Eclipses of the third Satellite of Tup i te r . - D. H. M. Arril. Tmmerfions. 3 10 57 A i i 2 59 M 18 7 i M 25 3 1 1 M Emerfions. 4 2 21 M 11 6 23 M 18 10 24 M 25 2 25 A May. Immerfions. 2 2 4 A 9 7 5 A 16 ir 5 A, 24 3 4 M 3, 7 4 M Emerfions. 2 6 2 5 A 9 10 25 A 17 2 25 A 24 6 24 M 31 iQ 22 M D. H. M. June. Immerfions# 7 11 3 M 14 3 3 A 21 7 2 A 28 11 1 A Emerfions. 7 2 2 1 A 14 6 19 A' 21 10 18 A 29 2 17 M July. Immerfions. 63 1 M 13 7 2 M 20 11 3 M 27 3 5 A Emerfions. 6 16 16 M 1 3 10 16 M 20 2 16 A 27 6 17 A D. H. M* August. Immerfions. 3 7 7 A 10 11 10 A 18 3 13 M 25 7 17 M September. Emerfions. 1 2 29 A 8 63 2 A 15 10 36 A 23 2 39 M 30 6 42 M October. Immerfions. 7 7 41 M 14 11 45 M 21 3 47 A 28 7 49 A Emerfions. 7 1© .45 M 14 2 47 A 21 6 49 A 28 10 50 A Novem- ( 18, ) The apparent Times of the Eclipses of the third Satellite of Jupiter. D. H. M. D. H. M. D, H. M. Nove MBER . I 2 -6 51 M 17 I I 49 A Immerfions. *9 10 50 M 25 3 48 M 4 1 1 51 A 26 2 49 A 12 3 52 M Emerfions. *9 7 52 M December 3 6 47 A 25 1 1 52 M Immerfions. io 10 45 A Emerfions. Ml 3 3 5i A 1 8 2 43 M 5 2 51 10 7 50 A 25 6 4i M The apparent Times of the Eclipses of the fourth Satellite ^/Jupiter. Emerfions. January. Immerfions. 14 7 41 A Emerfions. 15 o 6 M March. Immerfions. 6 2 32 M 22 8 54 A Emerfions. 6 2 6 45 M 23 1 1 M April. Immerfions. 8 3 14 A 25 9 33 M Emerfions. 8 7 J7 A 25 i 29 A May. Immerfions. 12 3 49 M 28 10 4 A 12 7 39 M 29 1 48 M June. Immerfions. OO Hi M A Emerfions. 14 7 5° A July. Immerfions. 1 10 30 M 18 4 46 M Emerfions. 1 2 0 A 18 8 9 M August . Immerfions. 3 11 7 A 20 5 30 A Emerfions. 3 14 20 A September, Immerfions. A a 2 Emerfions. 6 2 48 A 23 9 8 M October. Immerfions. 10 0 48 M 26 7 12 A Emerfions. 10 3 23 M 26 9 35 A November. Immerfions. 12 1 15 A 29 7 5i M Emerfions, 12 3 25 A 20 9 47 M December. Immerfions. 1 6 3 9 M Emerfions. 16 4 49 M III..J& ( 1 84 ) III. The apparent Tmes of fuch of the Immerfions and EmerCibm of hipiterV Satellites , as are vifible at London in the Tear 1737. By James Hodgfon, F. R. S. (See TAB. I.) D. H. M.. ■il D. IT M. D. H. M. January. 1 27 r ] 2 August 2 3 m: [. : z -5 8 Oc TO B ER. 12 i 5 M IE. 1 I io 4 44 E;E. I 28 2 3 22 M' 1. 1 : 59 13 7 34 E E. 1 2 18 5 *3 EE. 2 29 3 9 5 1 E l. 60 »5 8 35 E E. 2 3° 3 1 1 7 EI. 4 61 20 9 29 E E. 1 MARCH • 3 1 4 2 20 M E.4 62 21 6 49 E E. 3 3 8 5 49 Mjl. I 32 9 4 41 M l. 2 63. 22 1 1 1 2 E E. 2 April. 33 10 1 1 10 E 1. 3. 64 26 7 1 2 E r. 4 4 16 4 28 MJ. 1 34 10 1 1 47 E 1. I 9 35 E E. 4 5 28 3 6 MJ. 2 '35 18 1 44 M 1. 65 27 11 25 E E. 1 May. M I. 36 i 8 3 13 M 1. 3 67 28 7 49 E I. 3 6 2 2 47 I 37 *9 8 39 E I. 2 68 28 10 5° EE. 3 7 1 2 3 49 M 1. 4 38 25 3 4i M I. 1 69 29 5 53 EiE. 1 8 17 2 25 M E. 3 39 26 1 ® 1 1 E L 1 November. 9, 24 ? 4- M 1 3 40 26 1 1 17 E I. 2 j7° 4 1 19 M E. 1 ( 0 25 2 1 56 M 1. I September. -7i 4 1 1 5 1 E I. 3 1 1 29 1 48 M E. 4 4i 3 2 2T M E. 1 72' 5 7 48 E E. 1 1 2- 30 2 45 M I. 2 42 3 4 43 M E. 3. 73 9 5 43 E E. 2 June. 43 4 8 5° E E. 1 74 1 2 9 42 E E. 1 r 3 1 0 1 9 M r. 1 44 8 6 3 2 E [. 3 75 1 6 8 18 E E. 2 14 1 7 3 2 M 1. 1 45 10 4 18 M E. 1 7.6 19 1 1 35 E E. 1 ‘5 23 i ! 46 E 1. t 46 11 1 0 47 E I. 1 77 *2 1 6 3 E E. 1 16 25 1 1 23 E 1. 1 47 l3 8 41 E I. 2 78 23 * 10 53 E E. 2 1 7 I 28 1 1 1 E 1. 3 48, 15 10 36 E E. 3 79 '28. 7 55 E E. 1 1 8 29 2 17 M E. 3 49 19 0 43 M E. 2 December. J” L Y. 50 20 7 14 E E. 1 80 5 9 47 E;E. l 19 1 2 20 MI. 2 5i 20 1 1 20 E E. 2 81 1 0 7 e;i 3 20 3 1 16 M 1. 1 152 23 2' 39 m E. 3 8T2 • 10 45 E E. 3 21 6 r 1 M [i. 3 j 5 3 ' 26 2 42 M E. il 8$ 11 5 17 E E. 2 22 1 0 3* 9 M 1. 1 54 28 I 59 M E. 2 84 14 •6 8 E E. ] 23 18 4 46 M : 1. 4 October. 85 17 LI 49 E I. 3 24 18 1 1 32 EI. 1 55 4 1 1 8 E E. 1 86 18 7 51 E E. 2 25 25 1 1 26 El. 2 56 8 5 57 E E. 2 21 7 59 E E. 1 16 26 1 27 Mj|. 1 57 1 0 0 48 M I. 4 188 28 9 52 E E. 1 The 2d, 5^, and 8 th Columns, Ihew the Times -when the Eclipfes will 1 happen; the 3 d, 6th , and 9 th, the Kind. Thus, onthe.io/Z> of Janu- ary, at 4 b. 44 m. in the Evening there will happen an Emerfion of 1 the firfl: Satellite; and the Number 1, which is placed againft the 10 th of January. in the ift Column, refers to the Number 1 in the ift Column of the Plate of Configurations, againft which is placed the Correfpondent Con- figuration, or the Form in which the Satellites will appear at that Time. IV. A ( '4*5 ) - . -ft. * f •» T «-T Y IV. A Tropofition relating to the Combination of Tra.nl parent Lens’s with Reflecting Planes. By J. Hanley, Bj V. 8i to ? ! f r i > ’ J It is known from Doptricks, that the Lines F I, I G, K H, and F G, are all in the fame Plane ; and by the ConftruCtion the Lines A D, D B, and B E are equal ; and by Tropof. zo of Huygens’* cDioptricks^ the Lines F A, F D, and F G are con- tinually proportional ; and confequently F A is to A D as F D to D G, and dividing, F A is to A D as F D — FA (— to A D) is to D G — AD (= to B G.) Therefore A D is to B G as F D to D G. By the lame ‘Propojltion, the Lines BG, E G, and H G are alfo continually proportional, and B E (= to A D) is to B G as E H is to E G. Hence it follows, that the Lines F D, D G, and EH, EG, are Let D F and C G reprefent the two Lens’s put together as before, having their common Axis in the Line E L, and B N a plane Speculum to which that Line is inclined in the Angle G H N, and let AB are Proportionals. But as F D is to D G, fo is the Tangent of the Angle I G D or KGE to the Tangent of the Angle I F D ; and as E H is to EG, fo is the Tangent of the Angle K G E to the Tangent of the Angle K H E. The Tan- gent of the Angle KGE therefore has the lame Proportion to the Tangents of each of the Angles I F D and K H E, and confequently thofe Angles are equal, ®- N. B. In the Demonftration of the above-cited Propofition of Huygens , the Thicknefs of the Lens’s are ncgle&ed, and the Diftance of the Points I and K, from the Line F G, fuppoled very fmall \ fo that if either of thofe are too great, there may arife a fenfible Difference between the Angles I F D and K H E. ( <88 ) * *1 .1 A B be a Ray of Light filling on the Speculum at B, as is before exprefled, and let it be there re- flected towards the Point C of the Lens C G, where it is refradted towards the Point D of the Lens D F, and there again refradted into the Line DE, cutting the Axis in E. The Angle AOP contained between this lad Line D E, continued backwards, and the firft Line of Incidence of the Ray A B, will be very nearly equal to double the Angle of Inclination of the Axis of the Lens’s E L to the Plane of the Speculum B N ; i. e. dou- ble the Angle GHN. Demon s t ration. Produce the Lines of Incidence and Refledfion of the Ray A B and B C, ’till they meet the Axis of the two Lens’s in I and L ; and through the Point B draw B K perpendicular to the Plane of the Speculum, and cutting the fame Axis in K, the Angles KBL and K B I are equal. The An- gle K LB is the Difference of the Angles I K Band KBL; and the Angle H I B is the Sum of the Angles I K B and K B I (equal to K B L) : There- fore the Angle I K B is equal to half the Sum of the Angles H I B and K L B. But by the ’forego- ing Lemma, the Angles K L B and FED are very nearly equal. Therefore the Angle 1 K B is nearly equal to half the Sum of the Angles H I B and FED; that is, to half the Angle P O B, and its Complement B H I or G H N is nearly equal to half the Angle AGP the Complement of P O B to a Semicircle. <£. E. T>. If ( 189 ) If the firft Incidence of the Ray be fuppofed to be in the Line E D, it will proceed in the fame Track as before, but with the contrary Directions; fo that the Angle E O B made between the firft in- cident Ray and the laft reflected, will till be equal ro the Double of G H N, as before. It is evident that on this Principle an Inftrument might be conftru&ed, the Effects of which would in a great Meafure refemble thofe of that before mentioned (N° 420 ) : But it would be liable to the Errors arifing both from the fpherical Figure of the Lens’s, and allb the different Refrangibility of the Rays of Light, when the Object is feen at a Di- ftance from the Axis of theTelefeope ; altho’ thofe Errors, by a- proper Difpofition of the Parts of the Inftrument, may be reduced to a very fmall Quan- tity. However, for this Reafon, and alfo becaufe the Inftrument feemed to me to be attended with greater Inconveniencies, both in its Conftruction and Ufe, than the other, I have not thought it ne- ceftary to give any more particular Defcription of it. V. Jn Account of a large Bony Suhftance found in the Womb, which was Jhewn to the Royal Society, May the 17th , 1753, by Edward Hody, M T>. F. ^ S. ■£—« , aged 57, died in St. James's Market , January , 1725, In examining the ! Pelvis of this Woman, I found a large Bony- B b " Sub- ( »>0.)) Sub fiance, which was contain’d in the Womb, and fo ftridly united to it, that they feem’d to be one and the fame Body. Upon cutting the 'Subjlpnce a funder, I obferv’d, that the OJJifi cation went no farther than the Thicknefs of a Shilling ; the Part immediately under the OJJification is like firm Flefti, and this Flclh grows fofcer and fofter as it draws near to its Center. 1 think it not unneceflary, the Bone being found in, and fo ftri&ly united to the Womb, to take Notice, that the Woman never had but one Child, of which fhe was deliver’d about twenty-feven Years before fhe died : And it may not be impro- per to mention the Symptoms that lhe had long labour’d under, and the immediate Caufe of her Death. Her chief Complaints, for fome Years, were a fhort Cough, great Difficulty in Breathing, fre- quent Uneafinefs in making Water, or in going to Stool, and a conftant Weight, or Bearing down, upon the Parts of Generation. The immediate Caufe of her Death was, un- doubtedly, an slfthma ; for fhe had only one Lobe of the Lungs left that was perfe&ly found;. .the red adher’d firmly to the ‘Pleura, were very much contracted, and in fome Places fcirrhous. Explication of the Figure Tab II. ’ ' • \ • , 4 . > \ * - ‘ - ... * • * \ ' •• f A The Bony-Subjfance. B The Subftance of the Womb, cut open, and turn’d backwards. - !l C Small ( J9* ) C Small Fibres conne&ing the Bony*Subftance with the Womb . D The right Fallopian Tube lying upon the Membrane , which joins the Tube to the Womb and to the Ovarium . E The Ovarium. F T\\z Morfus Tyiaboli. G The left Fallopian Tube cut off. H The Neck of the Womb cut open, as elon- gated by the Difeafe. I The Mouth of the Womb laid open. K The greateft Part of the Vagina likewife laid open. This Womb , with the Bone adhering to it, having been kept ten Years in Spirits before it was fent to the Engraver, the Vagina, , Fallo- pian Tube , the Membrane on which the Tube lies, and the Ovarium , mull be fuppofed to be greatly contracfted * but that Part of the Womb diftended by the Subftance, is indeed very lit- tle contraded ; for it was fcarce fo thick as a Half-Crown Piece when it was firft taken out of the Body. B b z \X Some ( ) VI. Some Experiments concerning the Impreg- nation of the Seeds of Plants, by James Logan, Efo, Communicated in a Letter from him to Mr. Peter Collinfon, F. % S. ‘Philadelphia, Nov. io, 1735’. SIR, . J * * * * * * * * ****** AS the Notion of a Male Seed, or the Farina Foecundans in Vegetables is now very com- mon, I fhall not trouble you with any Obferva- tions concerning it, but fuch as may have fome Tendency to what 1 have to mention And, firft, I find from Miller' s Dictionary, that M. Geoffroy , a Name I think of Repute amongft Ntituraliftsy from the Experiments he made on Mayze , was of Opinion, that Seeds may grow up to their full Size, and appear perfect to the Eye, without being impregnated by the Farina , which poffibly, for ought I know, may in fome Cafes be true ; for there is no End of Varieties in Nature : But in the Subject he has mention’d I have Reafon to believe it’s other wife, and that he applied not all the Care that was requifite in the Management. When I firft met with the Notion of this Male Seed, it was in the Winter Time, when I could do ( ) do no more , than think of it; bat in the Spring I refolved to make fome Experiments on the Mayzey or Indian Corn . In each Corner of my Garden, which is forty Foot in Breadth, and near eighty in Length, I planted a Hill of that Corn, and watching the Plants when they grew up to a pro- per Height, and were puiliing out both the Taf- fels above, and Ears below ; from one of thofe Hills,. I cut off the whole Taffels, on others I carefully open’d the Ends of the Ears, and from forrje of them l cut or pinch’d off all the Aiken Filaments j from others I took about half* from others one fourth and three fourths, &c. with fome Variety, noting the Heads, and the Quantity taken from each : Other Heads again I tied up at their Ends, juft before the Silk was putting out, with fine Muffin, but the Fuzzieft or mod Nappy I could find, to prevent the Paflageofth t Farina^ but that would obftrucrt neither Sun, Air or Rain. I fattened it alio fo very loofely, as not to give the lead Check to Vegetation. The Confequence of all which was this, that of the five or fix Ears on the firft Hill, from which I had taken all the Taffels, from whence proceeds the Farina , there was only one that had fo much as a fingle Grain in it, and that in about four hun- dred and eighty Cells, had butabout twenty or twenty- one Grains, the Heads, or Ears, as they flood on the Plant, look’d as well to the Eye as any other 5 they were of their proper Length, the Cores of their full Size, but to the Touch, for want of the Grain, they felt light and yielding. On the Core, when diverted of the Leaves ( »94 ) Leaves that cover it, the Beds of Seed were in their Ranges, with only a dry Skin on each. In the Ears of the other Hills, from which I had taken all the Silk3 and in thofe that I had cover’d with Muflin, there was not fo much as one mature grown Grain, nor other than as I have mentioned in the firft : But in all the others, in which I had left Parr, and taken Part of the Silk, there was in each the exaCt Proportion of full Grains, according to the Quantity or Number of the Filaments I had left on them. And for the few Grains I found on one Head in the firft Hill, I immediately accounted thus : That Head, or Ear, was very large, and flood prominent from the Plant, pointing with its Silk Weftward di- redly towards the next Hill of Indian Corn ; and the Farina , I know, when very ripe, on lhaking the Stalk, will fly off in the fineft Duft,fomewhat like Smoak. I therefore, with good Reafon, judg- ed that a Wefterly Wind had wafted fome few of thefe Particles from the other Hill, which had light on the Stiles of this Ear, in a Situation per- fectly well fitted to receive them, which none of the other Ears, on the fame Hill, had. And in- deed I admire that there were not more of the fame Ear than I found impregnated in the fame manner. As I was very exad in this Experiment, and curious enough in my Obfervations, and this, as I have related it, is truly Fad, I think it may reafonably be allowed, that notwithstanding what M. Geoffroy may have deliver’d of his Trials on the fame Plant, I am pofitive, by my Experi- ment -'iH ( >9J ) ment on thofe Hsads^ That the Silk was taken quite away, and thole that were cover’d with Muffin, none of the Grains will grow up to their Size, when prevented of receiving the Farina to impregnate them, but appear, when the Ears of Corn are difclofed, with all the Beds of the Seeds, or Grains, in their Ranges, with only a dry Skin on. each, about the fame Size as when the little tender Ears appear fill’d with milky Juice before it puts out its Silk. But the few Grains that were grown on the fingle Ear, were as full and as fair as any I had feen, the Places of all the reft had only dry empty Pellicles, as I have defcribed them; and I much queftion whether the fame does not hold generally in the whole Courfe of Vegetation, though, agreeable to what I firft hinted, it may not be fafe to pronounce abfolutely upon it, without a great Variety of Experiments on different Subjects. But I believe there are few Plants that will afford fo fine an Opportunity of obferving on them as the Mayze,ox our Indian Corn ; becaufe its Stiles may be taken off or left on the Ear, in any Pro- portion, and the Grains be afterwards number’d in the Manner I have mentioned. i l< I f: : *: . b; . ; - ■ ' % VII. Some ( 196 ) VII. Some Obfervations of Eclipfes of Jupi- ter’s Satellites, made by Geo. Lynn, Efcfo at Southwick, near Oundle in Northampton- fliire j Communicated in a Letter to James Jurin, M.V. F. S. and Fellow of the Royal College of Phyficians, London. S I R, T TEARING that fome Foreigners enquired JL JL for Obfervations of the Ecliples of Jupiter’s Satellite, I have fent what 1 had of that Sort : They are indeed but few thefe two laft Years, on account of my Abfence during part of the Time for Oblervation, and alio on account of the fmall Arc Jupiter has lately made above our Horizon. TheTelefcope I made ule of is the fame as formerly, haying a thirteen Foot ObjedLGlafs, with an A- perture of two Inches and four Tenths, and an Eye-Glafs of two Inches and an half Focus. By apparent Time, at Southwick , near Oundle in Nor- thamptonjhire, Longitude Weft from London , oo Deg. 30 Min. as follows : Month. D. h. ' lf It feemed in a Minute after to be as? 2Q 2Q bright as the 4th Satellite 5 And at full Brightnels about — ■ zi zo The 13 1 1 ( *97 ) Month. D„ h 17^3. The 4th Satellite emerged Jan. 25s 9 1730. The 2d began to immerge iVtf z;. 28 And was quite out of Sight at 1 73 1 . The 2d began to emerge March 29 And feem’d at full Brightnefs about The ift Satellite began? H « to emerge — - 3 1 And was at full Brightnefs about Again the 1 ft began to emerge May 4 10 Was at full Brightnefs about — — And parted by the 3d Satellite -at 11 The 1 ft Satellite began to immerge / // 45 nearly I 7 4^ 19 4 6 33 8 36 30 11 45 10 17 2..° 31- 46 4 5 49 10 3° 4* 30 And was quite out of Sight about 1 7 at- The 3d Satellite began to? „ immerge — — an. 712 2 57 4 2? Jan. 28 14 16 00 19 00 24 00 o 12 23 57 12 48 44 13 5 30 Was but equal in Light to the 2d at Quite gone at — 1732. The 2d Satellite began£^r/y3 to emerge — 5 ^ 3 The i ft Satellite began ?„ 6 to emerge -r- 3 ^ i7»- Ther3d Sateljite ftuite^ Febr. 18 difappeared - — ^ 1733. Again the 3d Satellite? ^ difappear’d 5 1 But it began to fail of its Light about 5 or 6 Minutes before. 1735. The 2d Satellite immergedAf^y 18 The 3d began to emerge Augmft^ And was 4 or 5 Minutes before \t came to its full Brightnefs. C c VIII. A 2 1 3 3° 10 45. 9 10 co 30 ( i ) VI H. A Letter from Mr. Thomas Jones to James Jurin, M. T>. F.%S. and Fellow of the Royal College of Fbyficians, London, concerning the High Tide in the F^iVer Thames, on Feb. 16, 1735-6. SI R, AS you was pleafed to defire an Account of the Tide’s flowing on the 8th of March , 1725-6, which then flowed twenty Foot five Inches and a half, as I took it by a Level from that High Water Mark to Low Water the next Morning, and was four Inches higher than had been known for forty Years before. I have now to add, that having mark’d that High Tide on a Poll, on Monday the 16th Inftant the Tide role at the fame Place fix Inches and three Quarters above that Mark, and flowed near two Foot the laft half Hour but one before High Water. I am, SIR, New-crane, Feb. Tour tnoji humble , and 1 7th, 1735-6. obedient Servant, THO. JONES. N. B. If the Tide had flowed its full Time," it would have flowed half an Hour longer, and had drowned the whole Level. IX. AfFedus ( 1 99 ) IX. Affe&us Cutaneus fingularis, ab Abra- hamo Vatero, Anatomes & tBotanices in Academia Wittembergenfi (profejjorc pub - lico, 5. 5. Regali Sociecan comma » nicatus . IN Tranfa&ionibus PhilofophicisIlIuftriffimaeSoci- eratis Regise, N° 424, proMenfibus Julio & Au- gufto, Anno Mdccxxxii, recenfetur Cafus rariflimus pariter ac curiofiflirnus, cutis, aut potius cuticuix prave conftitutae in puero ruftico xiv annorum, quae talem craflitiem & duritiem habet, ut corti- cem potius arboris, quam cutem human! corporis referat, qua: thecae inftar totum corpus, excepta fa- cie, volifque manuum ac pedum, ita involyit, ut puer quafi in ea reconditus videatur, quam quotan- nis regeneratam autumni tempore, exuviarum inftar, decidentem exuit ac deponit. Cafumhunc apprime illuftrat, quam nuper a Medico Clariftimo, Domino Licentiato Harnifchio, Gera in Varifcia Iliuftriffi- morum Gomitum Ruthenicorum fede, ad me per- fcriptam accepi, hiftoria puellae nx annorum, ibi- dem viventis. Hxc ante aliquot annos tumore ar- tuum & totius corporis laboraverat, ad quern cn- randum, cum varia a parentibus remedia, prascipue domeftica aut empirica adhiberentur, fadtum eft, ut tumor durus infignis in dorfo inter fcapulas gene- raretur, quern gibberis initium judicantes itidem topicis difcutere ftuduerunt votique etiam fui com« C c z pores ( 2CO } potes fadi funt. At quid fit ? Ab ifto tempore fen- fim inmanibus pedibufque, imprimis in horum plan- tis ac iftarum voi is, generari coepit crufta ficca atque dura, qu£ in apicibus digitorum longe prominet, ac apprehenfionem grefTumque impedit, adeo ut puella nee ftare, nec incedere potuerit, fed portari ac curru yehi opus habuerit. Crufta hxc per intervalla de- cidit, praprimis poft inundiones varias a parenti- bus applicatas, led puella inde male habuit, tumida evafir, anxietates & tormina intus fenfir, quae non nifi crufta ifta regenerata ceflarunt ; hoc autem jfado, nil amplius incommodi percepit, prxterquam quod ufu manuum pedumque deftitueretur. Ab anni jpatio denuo hoc mafo afflida Chirurgi curae tra- dita fuit, qui illam laxantsbus Mercurialibus atque decodis fanguinem purificantibus tradavit, quibus diam malum ceftit, ac mundities cutis reftituta eft, adeo uc puella nunc integra fanitate frui videatur t quae an conftans fit futura, tempus docebir. Ac- cepi a laudato Medico portionem hujus crufts, cum fruftulo ejufdem ab apice digiti deciduo, tanta: Ion- girudinis & craftitiei, ut extremum digiti articnlum referat, eo magis, quia in uno latere particulam un- guis monftrate Microfcopio infpeda hxc crufta, manifefto apparet, earn ex fquamulis conflaram elTe, quod eo certius eft teftimonium, illam nil aliud, quam ipfara cuticulam, a nutrimento viicido & tartareo expanfam & induratam efle. Ex ejul- dem fupra laudati Viri relatione habeo, in urbe ibi- dem vicina pariter reperiri virginem, quse a longa indc tempore, bis in anno, talem deponit cruftam* a manibus pedibufque, necnon a cubito deciduam, qu % nullam a quibufcuuque Medicamentis fiadenus uforpatis,, ( 20! ) uftirpatis, levatnen percepir. Laborat autem ifla obftrudtione raenfium, quas mali huhus fons at- que origo efle videtur. JVittenbergte D. i Auguji. A. D. Mdccxxxv. X. Experiments concerning the Vibrations of Pendulums. By the late W. Derham, 2). 2>. F. 2^. S. and Canon of Wind for. TH E Account which Mr. Bradley hath given in Fhilofoph. TranfaQ. N° 432, of Obferva- tions made at Jamaica by Mr. Campbell with a nice Fendulum-Clock of Mr, Graham's making, brought to my Mind fome Experiments I made fome Yearsago, that may be of Ufe in Obfervations of rhis nature. The firft that I fhall take notice of, fhall be fome Experiments 1 made in the Year 1704, with ex- cellent Inftruments, concerning the Vibrations of Tendulums in Vacuo ; which were publilhed in the Fhilofoph . TranfaEl. N° 294. The Sum of which is, That the Vibrations in Vacuo vcz re larger than in the open Air , or Receiver unexhaufted : Alfo that the Enlargement or Diminution of the Vibra- tions, was conftantiy in Proportion to the Quantity of Air, or Rarity, or Denfity thereof, which was left in the Receiver of the Air-Pump. And as the Vibrations were larger or Ihorter, fo the Times Were augmented, or diminilhed accordingly ; viz. two ( 202 ) two Seconds in an Hour flower, when the Vibrati- ons were largeft, and lefs and lefs, as the Air was re-admitted, and the Vibrations Ihortened. But notwithftanding the Times were flower, as the Vibrations were larger, yet I had Reafon to conclude, that the Pendulum really moved quicker in Vacuo , than in the Air , becaufe the fame Differ- ence, or Enlargement of the Vibrations (as two Tenths of an Inch on a Side) would caufe the Movement, inftead of two Seconds in an Hour, to go 6 or 7 Seconds flower in the fame time \ as I found by nice Experiments. The next Experiments I fhall mention, I made at feveral Times, in 1705, 1706, and 1712, by the Help of a good Month-Piece that fwings Se- | conds. The Weight that then drove it, was about 12 or 13 Pounds, and it kept Time exadtly by the Sun’s mean Motion : But by hanging on 6 Pounds more, the Vibrations were enlarged 5 but yet the Clock gained 13 or 14 Seconds in a Day. And as the Increafe or Diminution of the Power that drives the Clock, doth accelerate or retard its Motion, fo, no doubt, doth Cleannefs or Foulnefs affed it, and fo doth Heat and Cold 5 for all have the fame Effed: upon the Pallets and Pendulum. The laft Experiments I fhali mention, I made in 3716 and 1718, to try what Effects Heat and Cold had upon Iron Rods of the fame Length, or as near as i could to thofe that fwing Seconds. I made my Experiments with round Rods of< about a Quarter of an Inch Diameter, and with fquare Rods, of about three Quarters of an Inch Square. j : The Effects on both which were the fame. At . 4? ■ 1 ' ( 105 ) At firft I took the exad Length of the Rods, in their natural Temper. Then I heated them as well as I could in a Smith’s Fire, from End to End, nearly to a Flaming Heat ; by which means, they were lengthened two Tenths of an Inch. Then I quenched them in cold Water; which made them Too of an Inch fhorter than in their natural State. Then I warmed them to (as near as I could guefs) the Femper of my Body ; by which means they were about 7oT of an Inch longer than in their natural Temper. Afterwards I cooled them in a ftrong frigorifick - Mixture of common Salt and Snow, which fliort- ened themioS Parts of an Inch. Afterwards I meafured thefe Rods, when heated in an hot Sun , which lengthened themTco Parts of an Inch more than their natural Temper. AlJ thefe Experiments feem to concur in refolving the Phenomenon of F endulum Clocks going Jlower under the /Equator than in the Latitudes from it : But yet I confefs, that I have too good an Opinion of Sir Ifaac Newton's Notion of the Spheroidal Figure of th z Earth, to part eafily with it; and therefore I leave it to the Confideration of others, how far the Figure of the Earth, and how far Heat and Cold, and the Rarity and Denfity of the Air, are concerned in that Phenomenon. XL The ( 2°4 ) Xf. The Conftru&ion and Ufe of Spherical Maps, or fnch as are delineated upon Tortious of a Spherical Surface. (By Mr. John Col- fon, M. A. F. % S. Eographical Maps, and Hydrographical Charts, J though they*are Reprefentations of a Convex Spherical Surface, yet were firft delineated upon Planes, as being the mod eafy and obvious, tho’ not the mod natural and accurate Reprefentations : And they will be diffidently near the Truth, when the Part of the Earth or Seas to be defcribed is not of a very large Extent. Such as thefe have been ufuaily called Chorographical and Topographical Maps j but when the Map is any thing general, or is to contain any large Tradt of the Earth or Seas, fuppofe (for Inftance) one of the four Quarters of the World, as they are call’d ; then, when they are projected, or reprefented npon a Plane, the Parts muft neceffarily be diftorted, one way contracted beyond the Truth, another way dilated, fo as to give no juft Idea of the whole. Nor can this Di- stortion be poffibly avoided, when any confidcrable Part of a Spherical Surface, by any Projection what- ever, is to be reprefented upon a Plane. ’Tis true, this Diftortion is always regular, and according to certain Laws j fo that knowing the Nature of the Projection, it may tolerably well be allow’d for. But to do this fcientifically, and as it onght to be done, requires much Skill and Accuracy in the Maker, ( ) Maker, as well as good Proficience and Experience in the Peruferj and therefore nor lb proper for an Introdudion to Learners, in the Rudiments of Geo- graphy. Young Minds are apt to receive wrong No- tions and Prejudices from them, at leaft cannot be rightly and eafily inftruCted by them. To obviate this Inconvenience, Geographers have contrived and conftruded the Terreftrial Globe, on which they endeavour to delineate ail the Parts of the Earth’s Surface in their natural State, as to Lon- gitude, Latitude, Diftance, Bearing, Magnitude, which being a true and genuine Reprefenration of the whole Superficies of the Earth, as far as it is yet known, is the beft adapted for conveying juft No- tions to young Minds, and for preventing all falfe Conceptions and Prepofleflions. After the firft Ru- diments of Geography have been imbibed from hence, they will be then prepared for the Ufe of plain Maps ; and they will afterwards find, that large Projections of particular Countries, Kingdoms and Provinces, in plano^ will be of excellent Ser- vice to them for their farther Improvement in this ufeful and necefiary Science. Nor will they now be in any Danger of being milled by fuch Maps, tho* they are not fo juft and natural Reprefentations of the Earthly Globe. Now the fame Conveniencies that may be derived from the whole Globe, may, in Proportion, be had from any notable Portions of it ; as an Hemifphere, a Quadrant, a SeCtant, an OCtant, or other Parr. But with this Advantage befides, that thefe partial Spherical Maps will not only be much lefs cumber- fome, and more manageable than a whole Globe, D d but ( ro 6 ) but may be made much more accurate and particular, as being capable of being form'd to a much larger Di- ameter than a Globe can conveniently be made to. The Maps may firft be printed upon a Plane, as is ufual in the common Globes, and then palled upon thin convex Shells of Paftboard, form'd to the inten- ded Radius. The forming of thefe fpherical Coats of Paftboard will be a Matter of no great Difficulty, even to as large a Diameter as fhall be defired ; but the chief Art will be required in projecting the Maps in piano , after the fimpleft and exacted Manner, fo as that they may adapt themfelves, with as little Error as poffible, to a fpherical Surface. For a plane Surface cannot be converted into a fpherical Surface without fome Error. The beft Method of doing this, with the lead poffible Error, I think will be as follows. Infteadofthe ufualSlipsor GufTets,as isthemanner of Globe*makers,which are comprehended between two Meridians at fome Diftance, and are form’d only tentatively and mechanically, without the Help of any juft Theory, we may divide the whole fpheri- cal Surface into parallel Portions, or Zones; that is, into Parts terminated by two Parallels to the Equa- tor, at the Diftance (fuppofe) of ten Degrees. As if the firft of thefe Portions, or Zones, were at the Equator itfelf, and extended to five Degrees of La- titude on each Side of that Circle, the fecond Zone would be at the Parallel of ten Degrees of Latitude, and would extend to five Degrees of Latitude on one Side, and to fifteen Degrees of Latitude on the other Side of that Parallel, andfb of the fucceeding Zones. Now r ( 207 ) Now we may conceive thefirfi: of thefe Portions, or Zones, to be converted from a fpherical Surface to a plane Surface in this manner, without fenfible Error. Let the middle Line of this Zone, that is the Equator, continue in its Situation, and let the Segments of the Meridians on each Side be con- ceived to unbend themfelves gradually, ’till they are extended into right Lines perpendicular to the Equa- tor : Then will that which was before a Zone, or Portion of a lpherical Surface, with a fmall Altera- tion become a Portion of a cylindrical Surface, cir- cumicribed about the Sphere ; whofe Breadth is every where equal to ten Degrees of the Sphere, and whole Circumference is equal to the Equator. And thus every Parallel to the Equator, as far as that of five Degrees of Latitude on each Side, will be ffretch’d and extended into a Circle as large as the Equator ; but they will all keep the fame Diftance from one another, and from the Equator, that they had before. This Extenfion, or Alteration, will be every where regular and uniform, and will be but very little, even where it is moft : For the lead of thefe Circles, which is the Parallel of five Degrees of Latitude, has the fame Proportion to the Circle it is ftretch’d to, or the Equator, as the Sine of 8 5* De- grees has to the Radius, or as 9961947 to 10000000 * which approaches very near to a Ratio of Equality. And now it will be eafily conceived, that without undergoing any other Alteration, or Diftortion, this Portion of a cylindrical Surface may be rectified, or extended into a plane Parallelogram, whofe Length will be equal to that of theEquator, and whofeBreadth will be equal to anArchof icDeg/ofthefameEquator. D d 2 And ( 208 ) And confequently, by an Operation that Will be juft the Reverfe of this, if upon a Plane we deli- neate fuch a Parallelogram as this, we bay then lay down all the Places that are contain’d in it very ex- actly, in their proper Situation of Longitude and Latitude ; and then apply its middle Line, or Equa- tor, to that of a Globe of a due Magnitude, which will then become a Portion of a cylindrical Surface, circumscribed about the Globe. Then by prefling it dole to the Body of the Globe, we lhall caufe it to contract itfelf a very little, but regularly, which Contraction will be only according to Longitude, and not at all according to Latitude ; and then the cylindrical Surface will be changed into that of a Sphere, and will become the firft fpherical Zone before delcribed, with all it's Delineations in their due Pofition, without fenfible Error. In like manner in thefecond fpherical Portion, or Zone, comprehended between the Parallels of five and fifteen Degrees, Whofe middle Line is the Pa- rallel of ten Degrees, we may conceive the Seg- ments of the Meridians to unbend gradually on each Side, and to extend themfelves into Tangent right Lines, which therefore will form a Segment of a conical Surface, ftill touching the Globe in the Pa- rallel of ten Degrees of Latitude. The Axis of this Cone will coincide with the prolonged Axis of the Globe, and the Side of the Cone, which is to be eftimated from the Vertex to the Circle of Con- tad:, will be the Co* tangent of the Latitude, or the Tangent of 8 o Degrees. Now this Portion of a Conical Surface may eafily be conceived to be un- roll’d, or to be expanded into a plane Surface, with- out p2!09 ) out undergoing any other Aiteratjon, and then it will become a Portion of aSe&or of. a Circle ; which Portion will have for its Length, or middle Line, an Arch of a Circle defcribed with the afQrefaid Tan- gent, as a Radius, whole Length will be the feme as the Parallel of Contact, aud its Breadth will be equal to an Arch of the. Equator of ten Degrees, as before. This Segment of a Sedor of a Circle fb produced, may therefore be eafily defcribed in plano> and within it may be inferred all the Places belong- ing to it, according to their Longitude and Lati- tude. Then it muft be applied to the Globe, foas that its middle Line lhall coincide with the Parallel of ten Degrees ; then by prefling it may be bent to the Surface of the Globe, every Meridian to its refpedive Reprefentative, by which it will uniform- ly contrad a little according to Longitude, but not at all according to Latitude. And thus the Globe will be cover’d as far as 15* Degrees of Latitude. The next Zone, or that belonging to the Parallel of 10 Degrees, may be thus conftruded a priori . Upon a plain Paper, with Radiusequal to the Tan- gent of 70 Degrees, defcribe an Arch, whole Length is equal to that of the Parallel of 20 Degrees ; as alfo two other concentrick Arches on each Side, at a Diftance from the middle Arch equal to Aan Arch of five Degrees. This will be the required Segment of the circular Sedor, in which are to be inferted all the Places belonging to it, accord- ing to their Longitude and Latitude. Then the middle Line or Arch is to be apply’d to the Parallel of ao Degrees upon the Globe, and the Segment of the conical Surface thence arifing is to be duly con- traded ( 2,0 ) traded as before, or prefs’d clofe to the Globe; by which Means this Zone will alfb be compleated. And in the fame manner we are to proceed to the fucceeding Zones, ’till the whole Globe is cover’d. And the Method will not differ in any material Cir- cumflance, if inftead of a whole Globe, we are to conftrud any Part of it only, or what I here call a Spherical Map. To reduce this Theory to Pradice, and as a Spe- cimen of Spherical Maps, 1 have conftru&ed a Ter- reftrial Hemifphere to a Diameter of near 15* Inches: To which I have given the Name of the Britijh Hemifpherey becaufe it has Great-Britain in the Center, or rather at its Vertex. It is therefore adapted to the Meridian and Horizon of London , and exhibits one half of the Earth’s Surface, as it lies round about this City ; which is vaftly the mod confiderable Part of the whole Earth’s Superficies. The Longitude and Latitude of Places are here eafily known by Infpe&ion, and their Bearing and Diftances may be nearly eftimated : And all the Delineations are as accurate and particular as this fmall Radius would permit. I conceive therefore it may be no unfit Inftrument for inftruding Beginners, or for initiating young Minds in the firft Rudiments of Geography. FINIS, ERRATA. frumb. 439. p. 145. 1. 15. dele Mr. before Pappus. P. 1 7 1 . 1. 4. for Barrow , read William Barlow , L O N T> O i^.- Printed by W. Innvs and R.Manby, Printers to the Royal Society , at theWeft End of St. Paul's. MDCCXXXV1I. JP/uiMofih.. Tra/wact. 44 j. J2\ J3 j J4\ js\ J Ji\ /a ■» 20 M-HERENNI' PROTf‘V'A‘XXII Mil D Y VEC ERVNT PARENT E S M HfRINNIV^AGRICOlAET HERENNIA lACENA/ILIO CHIROCRAPHVM OLLARIA7V /M C I N E R A R I A N m . I MI R a N T I B VS P AR T l A EVA QY E S VNT I NMO N VM f NTo T/LAVl ART EMIDORf QVOD E ST VI A SALAR1A 1MAGRO VOLV51 BASUIDES 1 E WTIBVS AB VRBE PAR EE S 1 M [ S ER A D 0 NAllOMS CWSA MANC1PIO ACC E PIT MTl ERENMVS AGRICOLA DE T/LAVIO ARTEMlDORoTtf/VT LfRRf PENDf -M1 HERENNIO ] VS TO ANTES TATVSES TT I [VLIVM'EROTEM INQYT vacvam POSSESSION EM EARV/Vt OLLARVM etcinerariorvaat/lavivsarte Ml DO RVS H E RENN 1 0 AGRICOlE 1 RE AVTMITEER EOSSAQYEI N/TRREPER MlSlISACRVAlOyEOVOn E NS/ACE REVELL1THERENNIVSAGRLCOLA HER EDES VE E IVSPERMIS ITCl AVI S VR E IV SM ONVM.ER El POTES TAT EM/AC TV RVM S E D I X 1 1 D O LVMQYEM A LV A\ HVIC REI ABESSF/yVTVRVMQVE S E I IAEC R E C T E DA R1A/ERI PRAES TAR I QyESTfPVLATVSESTM-HERENNlVS AG RICO LA SPE POND ITT* /LAV l VS ART E M I D O RVS ACT * XV 1 11 K l ANVAR OCALPVRNIO /LACCOOTREBJO G E RMANO («S Numb. 441. PHILOSOPHICAL TRANSACTIONS. For the Months of April, May, and June, 1736. The CONTENTS. I. A Copy of an Ancient Chirograph, or Convey- ance of Tart of a Sepulchre, cut in Marble , late- ly brought from Rome, and now in the Pojfeffon of Sir Hans Sloane, Bar*. Tr. R. S. fVith fome Obfervations upon it by Roger Gale, Efq-, V. T. (S Tr. R. S. ]]. Mr. Stephen Gray, F. R S. his laf Letter to Granville Wbeler, Efq-, F. R. S. concerning the Revolutions which J mall pendulous Bodies will, by Ele&ricity, make round larger ones prom IVeft to Eajl as the Planets do round the Sun. III. ExtraTt of a Letter from Mr. Jof. Nic. De l’lfle, F. R. S. to John Machin, Seer. R. S. & Tr. Aflr.GreJb.DatedVetersbnrg, ~ Feb. 173,, containing feveral Literary Communications concerning the Conft ruElion of a Quick- filver Thermometer, and his Obfervations on the E- clipfes of JupiterV Satellites, Annis 1731 and 1732. Tranflated from the French by Phil. Henry Zollman, F. R. S. IV. Experimenta de Terforatione Thoracis, cjuf- que in Refpiratione Ejfeffibus, facia per Guili- elmum Flouftonum, M. D. & quondam R. S. S. cum Lugduni Batavorum commoraretur. Ann. 1728 8c 1729. Regali Societati eommunicata per Philippum Millerum, R. S. S. V. Obfer- CONTENTS. a rr cr V. Obfervationes nonnull £ fngnlarer Ahni cididccxxxi ii* tam Aftronomics, quam Phy- {\cxy S> Meteorologies, ab Joh. Frid. Weidlero, *Prof. Math . Tr, R. S. S. Vit ember ga faff a. VI. An Extratl of a Letter from James Logan, Efq j to Sir Hans Sloane, Bar*. Tr. R.S. con- cerning the crooked and angular Appearance of the Streaks or Darts of Light’ning in Thunder- Storms. VII. Obfervations of the Aurora Borealis made in England by Andr. CelfiuSji7. R. S . and Seer. R. S. of Upfal in Sweden. VIII. A Letter from "Dr, Robert James, of Lich- field, to Sir Hans Sloane, Bart. Tr. R. S . con- taining fome Experiments made upon Mad Dogs with Mercury. IX. A Continuation of an Account of an Ejfay to- wards a Natural Hillory of Carolina and the Bahama I funds . By Mark Catesby, F. R. S. with fome Extracts out of the Eighth Set. By Dr. Mortimer, Seer. R. S. ERRATA in Philofophical Tfranfattwis, No 439. PAGE 143. line ult. for it read its , p. 145. L 1 5. dele Mr. p. 151. I. 13. for CT to CS r. CS.to CT. p.- 152. 1. 24. for H R r. A R. p. 153. 1 5. for C F read AF. p. 162. 1. 13. foruniverfly r. in-verfefy. p. 163. 1. 13. for rmta read r m t • > c-. -v > And: [ J And hence we have the Words Stipendhm , *T)if pendium , Expenfie^ and the like. In Apuleius9s Metamorph . Book Xth, is the following Paflage : • — 'Sedne forte aliquis, inquam, ijl or um quos of- fers Aureorum , Nequam vel Adulter reperiatury in hoc ip fo facculo conditos eos annulo tuo pranota , donee altero die Nummulario prxfente comproben - tur , where this Nummularius feems to be the fame astheL/£r//£W,who was generally called in tocount over and examine the Money at Payments for Pur- chafes, though fometimes a private Perfon or Friend to the Parties might probably perform this Office for them, and bean Evidence, upon Occafion, to the Fadis : To which end alfo they ufed to ad- hibit another Witnefs, as Herennius Agricola does here, who was one Tiberius Julius Erotes , and fometimes they added five more. The Form and Manner of doing it, was by asking a By-ftander, Licetne anteftari ? If he confented, the Demandant touched, or pulled, the lower Part of his Ear, as a Memorandum of what pafTed ; whence Horace iiv his IXth Satire, - — • — cafuvenit obvius illi Adverfarius , & quo tu turpiffime l magna Exclamat voce^ & Licet Anteftari ? ego verb Oppono Auriculam By the Law of the XII Tables, if he that w,a$ called to teftify in this manner, or the Libripens refufed afterwards to give his Evidence in the Cafe/ 1 1 they were adjudged infamous. A . GelA. xv.c.i^.. Line 18.) EAR VM OLLARVMfeems toT>e aMiftakefor EORVM OLLARIORVM.' Line -- -mm [ ] Line 201:0 27.) are Covenants ufual upon this Qccafion, as may be feen in the like lepulchral Con- trails, particularly the before-mentioned in Gruter (P- mlxxxi. 1.) and many other Donationsand Or- ders about Monuments in his voluminous Collecti- on,; as alfo in F'dbretti,. and Reinejius. ► ^ Line 28.) SE leems to have been a Blunder of the Marmorarius for S I -BI, S E DARI being perfectly ungrammatical. But in the Contrad afore- laid, given us by Grutei\ the Words run, De ea re do lum malum abefe, afuturumque a te> Fherede tuop <& ab.his omnibus ad qnos eaves pertinebit , h&c S I C retie dariy fieri , pr^ftarique ftipulatus eft ; which inclines me rather to believe, that S E in ours oirght likewife to have been SJ C. There are many palpable Miftakes in it, as I have before obferved, as in Line the 23d VELL1T for VELIT, and CL A VIS- VS for CLAV.SQVE, in. the 24th. The Roman Lawyers tell us, that Stipulatio e-rat Interrogate cert is, folennibufque verbis concepta ; & apt a , confentaneaque refponfio , veluti Ipondes? fpondco E>abis ? Do. This is fully confirmed both in ours, and the Gruter ian Contrad, (p. mlxxxi. 1.) Stipulates eft Marcus Herennius Agricola : Spepondit T. Flavius Artemidorns : In the latter. Stipulatus eft Licinius Timo - theus : Spepondit Statia Irene. The learned Mr. Matt air e oblerves from Aldus Gellius (Lib. vii.c. 9.) that ancient Authors ufed e inftead of 0 , in thole Verbs which have a Reduplication \in preeterito tempore~\ as memordi , pop of cl , fpe - f ondly for momordi, popofei^fpopondi, ufed by more modern Writers ; lo that SPEPONDIT is no Mi- flake, but an Archaifmus, as may be the Word 1EMC- [ ai8 ] TENTIBVS in the 12th Line 5 though it has not had the good Fortune to have been remarked, as the latter. lens in the Nominative Cafe was ufed more than once by Cicero s and though he declines it, like all other Authors now in being, Euutis, hunti) 8cc. yet it might originally have been de- clined Ientis, Tenti ; but as there is now no Au- thority extant to warrant it, this muft pafs as meer Conje&ure. Line 32.) There are no fuch Names to be found in any of the Fajii Confulares as C. Calfnrnius Flacais and Lucius Trebius Germanus • fo they muft have been not the Confutes Ordinarij of the Year, but SuffeLfi. It is very ftrange that the Romans fhould fo long adhere to this troublefome and uncertain Method of Computation by Years of their Confuls, fince they had frequently feveral Pairs of them in the fame Year, efpecially after they fell under the Imperial Government. Some reckon- ed by the ordinary Confuls, who came into therr Office upon the firft of January , about 600 Years after the building of Rome\ for ’till that Time the Month of their entring upon that Dignity was not fix’d ; and others computed by the Suffetti, who might come in feveral Months after, as Vacancies happened,or as they were appointed by the Emperor, tho’ their Names were feldom inferred in the Fafli . Befides this, it was impoffible for any Man to re- member how many Years were elapfed from the prcfent Time upwards, to fuch and fuch Confuls, without Tables of their Succeffion, or having Re- courfe to fome other iEra, as the A. V. C. anno Dr bis con dit^e , which they do not leem to haVe much regarded. In ( ) In Gruter (p. xlvi. 9.) is a long Infcription, mentioning TREBIVS GERMANVS, (chough not as Conful,) in the Reign oF Seffjmius Severus ; and another (p. ccclxxxii. 7.)1 of C. CALPVR- NIVS FLACCVS : If thefe Men were theConfuls here referred to, as they might be5 the Age of our Marble will be afcertained within a few Years. The Stone is turned with an Arch at Top ; the whole Length of it is 27 Inches and a half:, the Breadth at the Bottom of it is ten Inches and a half, and at the Bafe of the Arch twelve Inches and a- quarter, it widening gradually upwards. The Letters are cut in a Email indifferent Character j that of the E and theF are remarkable, beingalways formed in this manner E. f. * It was probably placed over or between the four Niches , or OLLARIA granted to M. Herennius Agricola in this Monument by T. Flavius Artemidorus, in order to declare and affert the Right and PofTefhon of them to the for- mer, and his Family, ’till they were all filled. * As mil appear by-examining the engraved Copy of it in the Plate prt * fixed to this ‘Tranfaftion, which is taken very er-affly to all the Dimenjions by a Seal of half the original Sue. ( 110 ) II. Mr. Stephen Gray, F. R. S. his lafi Letter to Granville Wheler, Efq'y F. R. S. concerning the Revolutions which [mall pendulousBodies will , by Electricity, make round larger ones from JVeft to Eaft as the Planets do round the Sun. I HAVE lately made feveral new Experiments up- on the proje&ile and pendulous Motion offmall Bodies by Eletftricity, by which frnall Bodies may be made fo move about larger ones, either in Circles orEllipfes, and that either concentrical or excentri- cal to the Center of the larger Bodies about which they more, fo as to make many Revolutions about them ; and this Motion will be conftantiy the fame Way that the Planets move about the Sun, viz. from the Right to the Left, or from Weft to Eaft : But thefe little Planets , if I may fo call them, move much falter in their Apogeon , then in the, Perigeon Parts of their Orbits ; which is, as you very well know, dire&ly contrary to the Motion of the Planets about the Sun. I have not yet communicated thefe Ex- periments to the Royal Society, being in hopes of making fome farther Difcovery, or at leaftof lhewing them after feme what more elegant a manner than I make them at prefent, when you may expedl to hear a farther Account of them from SIR, London, Feb. <>\ h. Tour moji Obedient Humble Servant , Stephen Gray. ( 2.2.1 ) III. Ex traB of a Letter from Mr. Jofl. Nic. De l’Hle, F.R. S. to John Machin, Seer. R. S. . II. Menfe Augulto ejufdem anni, duos nadus Carulos, quatuor eirciter dies natos, idem experimentum in utroque inftitui, Thoraces eorum aperiens ab utro- que latere, uniuspunduris tantum, alterius latis vul- neribus, adeo ut utrinque in confpeitum veniret Pulmo ; qui tamen nequaquam fubfidebat, fed potius extrorfum protrudi videbatur. Utrumque animal ejulare non defiit, donee, poll quadrantem horse* mifertus illorum vitae & miferiis finem impofui, Exp. III. Eodem anno, circa menfis Novembris inirinm, Cani mediocri pe&us aperui, fadto utrinque amplo vulnere. Aperturis fadtis digitum intruft in utram- que Thoracis cavitatem, fenfique Pulmones adeo collaplos ut Ipatium eflet relibtum tranfverfi eirciter pollicis inter ipfos & membranam, quae fuccingit Codas. Digitos fuosfimiiiter intrufere duo alii Me- dicinae ftudiofi, idemque fe fentire teftati funt. Sed Canis vinculis folutus furrexit illico fatis alacriter, per cubiculum cucurrit, & laefus ejulavit. Nullx aperturis immilfae funt turunda, nec quidquam vulne- ribus impofitum ante diem craftinum ; tunc autem applicati funt plumaceoli terebinthina illiniti. Canis per tres dies detentus, adeo non vocem amiferat, ut vociferando fuerit latis moleftus ; 8c tandem dimilfus currendo aufugit* Exf, Dm 3 Exp. iv. Anno 17^9, die Januarii 14, Canem nadus junio- rem,Thoracemejus voiui aperire Aerique ingreflum parare, fine magno Cutis St Mufculorumvulnere ; ne moleftam excitarem haemorrhagiam, vel animali pa- rerem doloremnon neceflarium. Itaque, ope inftru- menti Trots quarts didi, immifi utrinque Thoracis cavo fiftulam, ex penna anferina cui capitelli modo affixum erat alutx fruftum pice obdudum, ut Cuti prius rafas adhxreret, ficque fiftulum retineret. At Cu- tis mobilis fiftulam ilico e cavo Thoracis extraxi t, fenfique illam fupra Codas hasrere ; verum, fperans earn retineri pofle, nova pundura fecunda vice in- trufi, idemque in altero latere toties feci, neque ta- men unquam retinere potui. Hac itaque fpe de- jedus, Cutim utrinque feparavi longa incifione, pofteaque Mufculos intercoftales difcidi, & in utram- que cavitatem Thoracis penetravi •, quod ex Aere violenter erumpente patebat. Die craftino foramini- bus turundas immifi ex fubere fadas, quas, utroque extremo crafiiores, medio graciliores, nec fafciis nec emplaftris indigebant ut retinerentur. Canis, hifce fadis,non mortuus eft, nec vocem amifit ; fed edit, bibit, & fatis bene fe habere vifus eft, nifi quod vix potuerit in latus recumbere ob moleftiam vulnerum & prxcipue turundarum. Aeri interim fubinde con- ceflus fuit introitus extradis turundis, imo quidem uni lateri per fiftulam fuit inflatus. Poftquam fie duos dies egerat fine fenfibili Vocis lxfione, dum die tertio ipfe ilium tradabam, fubito utraque turunda Catis magna vi explofa eft; Aerque per foramina in- rrans C *33 3 tran$& exeuns tantum edebat fibilum* ut file par- tim (ut videbatur) ejus fono perterritus, partim ne ego ilium plus lxderem metuens, aufugerit & fub lecfto fe abfconderit. Profugi apprehenfi vulneribus turun- das denuo intrufi, qua? baud ita din poft iterum exfi- lierunt. Atque hoc quidem in ftatu vixit ab hora io matutina ad 5* circiter vefpertinam, & a pluribus Medicinal Studiofis non fine admiratione vifus eft. Tandem rem communicavi D. Van SwietenMedico hujus Urbis do&iftimo, qui rem cum caeteris mira- tus, animal ut occiderem Sc cadaver examinarem fuafit ; fed ego, vulnerum effe&um ulteriorem ex- pedtans, mortem ejus in Diem craftinum diftulu Vixit itaque quatuor dies integros poft Pectoris per- forationem, & tandem laqueo ftrangulatus eft 5 ne* que figna dedit Refpirationis Ixfo ante ftnem diet tertii, quando paululum anhelofus facftus eft. Thorax poft mortem apertus Saniem continebat utrinque, fatis magna capia. Pulmones in exiguum lpatiumerant contrafti ; uno latere, quantum videre potuimus, integri ; altero vulnerati. D. Van Swieten,ut in hanc rem ulterius inquire- ret, ipfe experimenta quxdam inftituit. Primo ejus, ego quamvis invitatus non potui interefte ; fed fecum dum (quod vidi) itafucceffit. ExJ?. V. Jan. 1719. Cani mediocrl, afteri alligato, Thorax apertus fuit utrinque, largo vulnere. Animali Vox non defecit ; & Pulmones adeo non coilapfi font, ut per aperturas eruperit utrinque illorum lobu- lus. Lobuli hi extus h&rentes dilatari 8c contrahi non t *34 ] non defierunt ; &, quod maxime miram,di!kratio illorum Thoracis contra&ioni erat fynchrona, Sc contra. Aer in Pecftoris cava inflatus Animalis Ref- pirationi nihil nocuit. Poftquam ficper femihoram vixifiet, fine ulla Vocis vel Relpirationis tefione fenfibili, Thorax ab uno latere apertus fuit ulterius, difcifsa cofta. Tumque apparebat (magnum para- doxum !) Pulmonem contrahi dum Pe fi immutatae manent aperture, debet Aer, qui per vulnera ingreffus eft, pereadem exire eodem pra:cife tempore, quo Aer per Giottidem ingreftfus per illam exit. Unde nul- Jus Aer manebit inter Pulmonem & Pleuram, fed omnia erunt in eodem ftatu in quo fuerunt in fine prirme contracHonis ; & ft ad vitam & vocem Ani- inalis fufficit t folits inflationis Pulmonum, vel fi Thoracem poteftdilatare quinquies plusfolito, tunc nihil obftat quin aperto ficThorace poffit vivere & vocem formare. Unum fuppofui plane falfum, Pulmonem omni vi contradtili deftitutum effe ; quod omnia everteret nifi daretur aliunde compenfatio. Verum conftat Glottidis rimam pro arbitrio animalis ardtari pofie ( n7 ) ycl dilatari, SC quidem adu dilatarf, dum inlpiratu* Aer, ardari vero dum expiratur, (faltem dum Vox formatur );unde tantum poteft Aeris ingreflus juvari a Glottidis dilatatione, quantum, impeditur a Pulmo- Hum vi contradili ; tantumque ejus egreffus impe- diri a Glottidis ardatione, quantum a cotitradione Pulmonumjuvatur. Poteritque equilibrium fervari, vel una alterave caufa prxvalere, prout animal hanc poteftatem mutandi Glottidem habuerit, vel eadem ufiis fuerit. Quod etiam cum Phenomenis apprime convenit j nam cani vociferanti Pulmones per Vul- nera erupere; dum filebat, iterum introiverunt, nec eruperunt unquam. Quod ad illud Phenomenon attinet quo Pulmo vifus eft dilatari dum Thorax contrahebatur, credo illud non aliam ob caufam fic accidifle quam quia mufculi Abdominis vi ingenti, & quafi convulfiva, contradi furfum pellebant omnia, & multum minue- bant Thoracis capacitatem ; unde Aer ex inferiori- bus Pulmonum pulfus ad fuperiora tendebat, <3c Pul- vis quamvis, ft totum fpedes contradus, tamen ea parte qua vulnus relpiciebat dilatabatur. In fexto Exp. res ipfa loquitur, album Corpus Pulmonem fuifte, rubrum Diaphragma. Quin 8C Pul- mones Thoracem integrum replere,ejufque membra- ne fuperficie fua applicari, ut vulgo creditur. Reliant autem hac in re difficultates alie, accurate ribus experimentis & acutioribus ingeniis tolknde. Hh% ( *38 ) V. Obfervationes nonnull ce fmgulares An- ni cioiaccxxxm. tam Aftronotmcae, quam Phylicae, Meteorological, ctb Joh. Frid. Weidlero, Trof. Math . Tr. R. S. S. Vitembergco fatta. I. /^\Bfervatio conjundtionis Saturni & Marris. Die 5 Febr. vefperi Hor. 7 iru 30, vifi funr duo illi planetxcum ftellaE h Beieri ineademre&alinea. eh * ( 2 4-1 ) VII. Ob fe r nations of the Aurora Borealis made in England by Andr. Celfius, F. R. S. and Secr.R S. of Upfal in Sweden. CETT. 13, 1735, in the Town oftVoodford, fix ^ Miles to the North Eaft of London , at 1 1 \ h. at Night, there appear’d a bright Band, almoft pa- rallel to the Horizon ; and its Middle was judged to be under n of the Great Bear. At Times ano- ther Light fliot along the Great Bear ; but almoft conftantly cover’d the Stars y and ^ . Offob. 4, in King-fir eet Bloomsbury > h / // At 9 22 0 p. m. A Ray or Streamof Light appear’d under the Polar Star perpendicular to the Horizon. 9 24 13 That Ray difappear’d. 9 *7 6 Two perpendicular Rays ffiot forth five or fix Degrees from the North towards the Eaft. 9 28 30 A whitifh Ray again exactly under the Polar Star. 9 3° 0 That Ray moved Weftward. 9 3 1 0 ’Twasfeen under * of the Great Bear. 9 3i 27 It entirely difappear’d. 9 36 8 A Ray afcending .perpendicu- larly by the Polar Star, and fi'j ■ 1 i ,7 > and j8 of the Great Bear. 9 4° 0 The Ray feern’d to move gra- dually under % of the Great Bear. No- ( 3 4* ) h •" At 9 44 o No more Rays appeared. But whether there were any Re- mains of Light near the Hori- zon, or in the Weft, I could not fee, upon account of the neighbouring Houfes. QEtob . ii, in London . h ' At io 37 p. m. There were two bright Rays under £ and g of the Great Bear, io 39 A Ray between e of the Great Bear and the Polar Star, io 39 i A Ray in Form of a Pyramid a- bove yi of the Great Bear. Thefe Rays had not any Motion parallel to the Horizon ; but they io 43 entirely difappear’d. Jan . n, 1736 in London . At io. o. p. m. An indifferently bright Arch, pale towards the Edges, appear’d 1 6 Degrees high : One of the Ends of which defcended Eaft- ward under v of the Great Bear: And lucid Streaks appear’d now -and then over this Arch. ii 13 Under this Arch was another very bright Trad: parallel to it, fiveDe* giees above the Horizon ; in which Trad there were Rays, that iliot fiom Weft towards the Eaft. if iy Ths /:rch was very faint. The [ *4-3 3 h t The firft Arch became brighter. 11 17 and the lower Arch was almoft blended with the upper, and bro- ken in the middle. 11 zo The whole Arch wasbelet with faint Rays. 11 ai One of the Rays under the Po- lar Star. 11 17 No Arch, nor Rays, but bright Traits difperfed here and there. 11 36 The Light reached up to the Po- lar Star, and fomewhat higher. 11 44 A lucid Ray under the Polar Star. ia 11 The Sky was overcafl: with Clouds, except one lucid Streak, which appear’d three or four De- grees to the Eaft of the North. February 16, in Clare- Hall, Cambridge , At a Quarter paft Eight in the Evening, the Moon lhiningvcry bright, there appear’d two perpen- dicular Streams betweenthe great and little Bear April 3, in London, h ' At 8 46 I obferved a lucid Arch one De- gree broad, which extended along the Northern Crown, the Cingulum Boot is, the Coma Berenices, the I i lefTer [ *44 ] IefTer Lion and Cancer, ras far as the fmaller Dog. h ' " At 8 49 36. This Arch quite difappear’d : But at the fame time, I Jaw another broad- er and brighter Arch under CaJJio - pea, feven or eight Degrees high. In the Obfervations of October 4th, and in the laft, I am certain as to theTime of the Clock: So that if it has happen’d that others have obferved the fame ‘Phenomena, the Longitudes of Places may- be determined by them with greater Exadfnefs than by the Satellites of Jupiter, which I take to be the principalUfe that may be made of thefeOblervations,, elpecially in making Maps of the Northern Coun- tries, where thefe Lights more frequently occur. VIII. A Letter from Dr. Robert James, of Lichfield, to Sir Hans Sloane, Bart. Pr. R. S. containing [ome Expe- riments made upon Mad Dogs with Mercury. Lichfield, June 3, 1735-. SIR, z ' r\ ( IN purfuance of your Commands, I here give you an Account of fome Experiments that have been made upon Mad ‘Dogs with Mercury } which I apprehend I have fome Reafon to believe is the 3 moft [ *4? ] moftefFe&ual Prefervative againft,and perhaps even a Cure for the Hydrophobia. About Michaelmas, 1731,! waited on Mr, F layer , of Hints , a Gentleman who is very curious in Pox- Hounds. He complain’d that He was afraid of a Madnefs amongft his Hounds ; for that Morning one had run mad in the Kennel, and he was appre- henfive that mod of the reft were bit by him : I took this Opportunity of telling him that 1 had long believ’d that Mercury would, if try’d, prove the beft Remedy againft this Infection j and that if the Idea I had form’d of this Poifon was juft, I was pretty fure the Medicine would anfwer, notwith- ftanding the Difficulty there is of determining the Effe&s of a Medicine d priori ; and that it was, at leaft, worth while to try. Mr. Floyer neglecfted this Advice till the February following. Mean time he try’d the Medicine in Bates , commonly known by the Name of the Pewter-Medicine as alfo every thing elfe which was recommended to him by other Sportfmen, but to no Purpofe ■, for feme of his Hounds run mad almoft every Day af- ter Hunting. Upon this he took his Hounds to the Sea, and had every one of them dipt in the Salt- Water; and at his Return, brought his Pack to a- nother Gentleman’s Kennel, fix Miles diftant from his own. But, notwithftanding this Precaution, he loft fix or feven Couple of his Dogs in a Fortnights Time. About this Time, which was in February I waited on him at his new Habitation, and found him in that Diftrefs not unulual with Sportfinen up- on thefe Occafions. I ask’d him if he had try’d the Experiment I recommended. He faid he had I 12 ' nor. t 14.6 ] not, but that two of his Hounds were then mad, and he would that Night do it. He ftiewed me the Dogs, and they were both as far gone as I ever have feen any. They'refus’d Food of all Sorts, par- ticularly Fluids, Haver’d much, and had all the Symp- toms of a Hydrophobia to a great Degree. He fent immediately to Lichfieldi ovall the Turpeth Mine- ral he could get, and that Night gave twelve Grains a-piece to the two Dogs, which vomited and pur- ged them gently. Twenty- four Hours after this he gave to each twenty-four Grains, and after the lame Interval he gave forty-eight more to each. The Dogs falivated confiderably, and foon after Jap’d warm Milk. At the End of twenty-four Hours more he repeated to one Dog twenty-four Grains more, and omitted it to the other. The Dog that took this laft Dofe, lay upon the Ground falivated extreamly, was in great Agonies, and had all the Symptoms of a Salivation rais’d too quick ; but got through it, and is at this Time alive. The other refapfed and died. To all the reft of the Pack he gave feven Grains of theTurpeth for the firftDofe, the fecond twelve, 2t twenty-four Hours diftance, which was repeated every other Day for fame little Time. The Me- thod was repeated at the two. or three fucceeding Fulls and Changes of the Moon. From this Time he loft not another Hound ; and though feveral have fince been bit by ftrange Dogs, the Turpeth has always prevented any ill Confluences. I and my Friends have try’d the fame Thing fince upon a Multitude of Dogs, and it has never failed in any one Inftance, though Dogs bit at the fame Time, C *4-7 3 Time, and by the fame Dogs, have run mad after moft other Methods had been try’d. As to the Experiments made upon Mankind, I have had Opportunities of making but three. The firftwas about two Years and a half ago, up- on a Girl about fourteen Years old. The Calf of her Leg was fo torn by a Mad Dog, that the Sur- geon was obliged to ule Means to prevent a Morti- fication from the Bite. She was vomited by the Turpeth. Three Days before the next Change of the Moon, the Vomit was repeated, and again the very Day of its changing. The fame Method was purfued the next Full Moon. The Girl is very welt The fecond was a Boy of about ten Years of Age. He had Four Holes in one of his Legs, made by a Mad Dog in November lad. The Turpeth was given as above, and the Wounds drefled with Digestives, and he continues well. Thefe two liv’d near Burton upon Trento and Mr. Towndrow7 of that Place, was Apothecary. The third Cafe was that of a young Man near Tumworth , of about eighteen. The Bite was up- on the Hand. A great Number of Dogs were bit at the fame Time, in the Town where he liv’d. About fix Days after the Mifchief was done, feveral Dogs that had been .wounded ran mad, upon which he applied himfelf to Mr. Wilfon , Apothecary in Tamworth , to whom I had communicated theSuc^ cels of the Turpeth in this Cafe. The young Man was, at this Time, very melancholly and dejedcd, had Tremors, and fiept very little for forne Nights before, though he was not apprehenfive that the Dog which C 1+8 ] which bit him was mad. He had a dry Scab upon his Hand : He was, upon applying to Mr. Wilfon% vomited with Vin. Benedict. 5ij. The next Thing he took was made according to the following Prelcription. ^ Tuipeth. Min . gr. xij. Lap. Contrayerv . 3i. Ther. Androm . q. f.M. Ft Bol. N° z^fumat unum fingulis nottibus bora decubitus fuperbibendojulap . feq. Cochl. iv. ^ Aq . Rut . 5vj, Theriac. 5ij. Ayr. Taon. c. 5ifi Tintt. Cajtor 3ij M F. Julap . Upon taking thefe he fweat very much, and had two loofe Stools every Day after them : His Tre- mors went off, and flept better. After this he went into the Cold-Bath, and continues perfectly well. But what is remarkable in this Cafe is, that the Wound ran a thick digefted Matter after this Me- thod, and threw off the Scab like an Efcar ; after which it healed of itfelf. I will not prelume to philofophize upon thefe Cafes, when I am writing to one who is fo much better capable of doing it than I can pretend to be. Much lefs fliall I pretend to determine whether Mercury has thefe Effects from its fpecifick Pro- perties, which enables it to prevent or diffolve thofe inflammatory Concretions which caufe the Hydro - phobia , or from the Evacuations it caufes. Inftead ofdifcufling this Point, give me leave to make an Obfervation or two upon the Antiquity of this Dik eafe, which I the rather choofe to do, becaufe Calius Aurelianusy in his Account of it, does not feem to build fo much upon the Authority of Homer as, in my humble Opinion, he might have done. Indeed he quotes a Paffage out of the eighth lliady [ ] Iliad, where ’fencer calls Hector wjva. Mamndtfe*, but does not feem to think this lufficient to prove that Homer was acquainted with thisMadnefs. But he omits two more Paffages in the feme Author, which, joined with this, amount to a Demonftra- tion that Homer was by no means ignorant of it. The firft is in the ninth Iliad, where Illyjfes is up- on his Embafly to Achilles. He defcribes to the laft mentioned Hero, the Diftrefs the Grecian Ar- my was in through his Abfence ; and when he has painted Heitor as-terrible as he can, he compares his Fury to the Rage of aMad Dog. Iliad Lib. ix. 1. 237. — — "Ey.-mp S'i jjayz tdivi't (ZMimzIvcov MaiViTOi tx7rzlyXwi, onov r©- Ail, ill ti 77 c-i ’Aii&is ©£85* b% 1 Au'traa hSliKip. — Hedtor verb valde trucibus oculis ad~ fpiciens Farit terribiliter, fretus Jove : nec quicquam honorat Viros neque ‘Deos ; ingens autem ipfum rabies invafit. If Homer had defign’d to defcribe a Mad Dog as a Phyfician, he could not have exprefs’d his Looks by a more proper Word than BAgf«a.iW. It mufl: alfo be confider’d, that this Difcourfe is directed to Achilles , who, having ftudied Phyfick under Chiron, was consequently more capable of receiving an Idea of the Mifchief Heitor did to his Country- men by this Metaphor. In the thirteenth Iliad , Heitor is again call’d A wmHr by Neptune. It mull be obferv’d that ?\v * -<* * i * s ~ ~ • ‘ n T ^ '■ ‘ K k 1 Acacia , [ *r4 ] Acacia, Buxi foliis rotundioribus ; floribus al- bis s filiqya lata comprejfa . This Tree affords an excellent Wood for Joyners Work. It is, mifta- keniy, called Mahogany by the Babamans ; it is next in Beauty to what is here called Madera,vth\c\v is the Mahogany of Jamaica . 43* Viper a Aquatica : The Water-Viper. Thefe Serpents are commonly found hanging on Branches of Trees, which lean over Rivers, into which they plunge after Fifh, which they catch and carry to Shoar. This Sort is commonly called in Carolina* the Water Rattle-Snake, not thatithath a Rattle* but from the Likenefs of its Colour, and its Bite be- ing as mortal Its Tail terminates in afharp pointed Horn, which, by the credulous, is thought like- wife to be venomous, and that a Tree wounded with it will die ; but this is without Foundation. Brutex'y foliis ferratis, floribus longioribus fpi- cat is fubviridibus , capfula pentagona . 44. Vipera nigra, The black Viper. Arbor foliis pi mat is, Jpica pendula fericea, Alpin. p. 2. 45*. Vipera fufea : The brown Viper in Virgin nia : In Carolina it is called the Truncheon- Snake.. Arum maximum JEgypt'tacum quod vulgb Co- kcajia G. Bauh. pin. p. 195". SlOaneHift.. Jamaic. Vol. I. p, 1 66. Arum JEgyptiacum F. Column. Ecphras. Part II. p. 1. Our Author refers his Readers to Sir Hans Sloane's ample Defcription of this ufeful Plant, in his Natural Hijlory of Jamaica, Vol. I. p. 166. to which [ w 3 which he only adds, that they are very acrimonious till boiled 8 or 9 Hours, and then become eatable, and tafte much like common Potatoes. There is fince introduced into Carolina , another Sort which is not acrimonious, but may be eat even raw s thefe Roots are here the chief Food of the Slaves j they come originally from Africa ... 4 6. Anguis , Ventre Cuprei coloris : The Cop- per-bellied Snake. An Ricinoides JEleagni folio ? The Ilatbera Bark. The Bark of this Tree being burnt, yields a fine Perfume ; infufed either in Wine or Water, it gives a grateful aromatick Bitter. This is called Cor- tex Eleutheria by others ^taking its Name from one of the Bahama Iflands, corrupcly called llathera inflead of Eleutheriay or Liberty A fland^ from the Greek Word gAg uflgp©*, liber , free. 47. Anguis gracilis , cafuteo * viridis : The blu- ifh-green Snake. It is found chiefly on Trees. Frutex baccifer , verticillatus ; foliis fcabris , latis dentatis , & conjugatis ; baccis purpureis , denfe congeftis, 48'. Anguis niger : The black Snake. Thefe Snakes are very beneficial in killing Rats, which they purfue in all Parts of Buildings. Frutex , Rubo fimilis, non fpinofus , capreolatus , fruffu racemofo , caruleo , Mori- for mi . 49. Anguis minor fufcus maculatus : The little brown Snake. Thefe Snakes generally live under Ground. Corallo- [ *S* ] Corallo-dendron humile ; fpicafiorum longijfi- tna, coccinea ; radice crajjiijjima. yo. Angnis gracilis, fufcus : The Ribbon-Snake. Arbor baccifera, Laurifolia, aromatica, fruEht viridi, calyculato , racemofo. Sloane’s Hift. fam. Vol. II. p. 87. Cortex Winieranus Offic. Winter’s Bark. Our Author agrees with Sir Hans Sloane, that this is not the true Winter's Bark, altho’ it hath obtain’d the Name, and is ufcd as fuch. 51. Anguis gracilis maculatus : The fpotted Ribbon-Snake. ' F feu do f ant alum , croceum. Sloane’s Hift. Jam. Vol. H. p. 184. Brafiletto. This Wood is ufed in Dying, but the Demand for it having been great, the Bahama Iflands are almofl: clear’d of it. * % Flos FaJJlonis minimus, trilobatus fore fubc am Snake; fo called from the Refemblance it hath in its Colours to the IV amp am , or Indian Money, made of Pieces of Shells blue and white, ftrung together. Ltlium Carolinianum ; fore croveo , punllato, 5P eta /is longioribus , & angufiioribus : The red Lilly. 59. Cte cilia m a cm l at a ; The Glafs Snake. Chryfanthemum Americanum , Doronici folio , fore for is Mali Terfica color e ; umbone magno pro- minente ex atro pur pur eo , viridi S) Aura fulgent e : This Plant hath flower’d in England . 60. Anguis nigerymaculis rubris & luteis ele- ganter varius : The Bead-Snake. They are com- monly found under Ground. Convolvulus iradice tuberofayefculenta. Sloane’s Hift. Jamaic . Vol. I. p. 150. The Virginian ‘ Potato . The Roots of thefe Plants are the prin- cipal Subfiftance of the greater Part of Africa, and the fouthern Parts of as well as moft of the People, both black and white, in the Colonies in America . The Author enumerates five Kinds : the common cPotato,Jthz Bermudas , the Brimfone , the Carrot , and Claret Totatoes , each of which he gives Defcriptions of E I N I 8. L O ND ON: Printed by W. I n n y s' and R.Manby, Printers to the Royal Society, at the Weft-End of St, Paul's, m. ncc.xxxvn. T .V. L .M <9. II Numb. 44i, philosophical TRANSACTIONS. For the Months of July, Auguft , and Septemb. 1736. The CONTENTS. I. A Catoptric Microfcope. By Robert Barker, M. T>. F. R. S. II. An Account of the Standard Meafures pre- fer ved in the Capitol at- Rome. By Martin Folkes, Efp V. T. R. S. III. Obfervationes nonnullx notatu non indigna:, Anno 1734. Ab Johanne Frid. Weidler, R.S. S. &c. Vitembergas fa&ae. IV. Obfervations made of the Latitude, Variation of the Magnetic Needle, and Weather, by Capt. Chriftopher Middleton, in a Voyage from Lon- don to HudibnVBay, Anno 1735. V. An Experiment to Jhew that fome Damps in Mines may be occafioned only by the burning of Candles under Ground, without the Addition of any noxious Vapour, even when the Bottom of the Bit has a Communication with the outward Air, ttnlefs the outward Air be forcibly driven in at the faid Communication or Ripe. By the Revd J. T . Defaguliers, LLT). F. R. S. VI. A Chemical Experiment by Mr. John Maud, ferving to illuftrate the Phoenomenon of the in- flammable Air Jhewn to the Royal Society by Sir James Lowther, Bar1- as defer ibed in Philof. Tranfabt, Numb. 419. VII. A The C O N T E N T S. VII. A Letter from Mr. Henry Forth to the late Revd William Derham, 2). CD. Canon of Wind- for, andF. R. S. concerning the Siorm, Jan S thy *7 is- VIII. An Account of the Eones of Animals being changed to a Red Colour by Aliment only. By John Belchier, Surgeon , F. R . S. IX. An Obfervation of a white Liquor refembling Milk , which appeared inflead of Serum fepara - ted from the Blood after it had Jtooa Jome time v By Alexander Stuart, M . D. Bhyfician in Ordi- nary to her Majefy , F. R . S. and of the College of Rhyficians , London. X. An Account of what was obferved upon open- ing the Corpfe of a Terfon who had taken feve- ral Ounces of crude Mercury internally s and of a Plumb-Stone lodg'd in the Coats of the Redhim. Communicated in a Letter from the late *Dr. Madden, Thyfaian at Dublin, to Sir Hans Sloane, BaA *Pr. R. S. XI. Obfervatio Eclipfeos Telluris Romae habha in AEdibus Eminent /^/ziCardinalis DE-VJA, y. Non. i,£.d.3.Maii N.S. Apr. 22. V.S.mdccxxxiv. per Didacum de Revillas Abbat. Hieronym. R . S. S . & Andream Celfium, R. S. S. AJlron . Brofejf. UpfaLe^ R . S . Suec. Seer . 1. A C tS9 ] I. A Catoptric Microfcope. By Robert Barker, M. D. F. R S. THOUGH Microfcopes, compos’d of Re- fracting Glades only, have been vaftly im- proved, as to their Effects of magnifying; yet they have been attended with fuch great Inconveni- ences, that their Application to many Arts, in which they might be very convenient, is not fo common as might be expected, and Mankind have reap’d but a fmall Part of the Advantage obtaina- ble from fo furprizing and ufeful an Inftrument. Among the Inconveniences mentioned, thefe are the mod: confiderable : , * . * • * X i. That in order to magnify greatly, it’s necef- fary the Object-Glafs be a Portion of a very mi- nute Sphere, whofe Focus being very fhorr, the Object muff: be brought exceeding near ; it will therefore be (haded by th z Microfcope, and not vifible by any other Light than what pafTes through itfelf ; in this Gale therefore, Opake Ob- jects will not be feen at all. 2. Objects illuminated this way, may be rather faid to eclipfe the Light, than to be truly feen, little more being exactly reprefented to the Eye, than the Out-line j the Depreffions and Elevati- ons within the Outline appearing like fo many Lights and Shades, according to their different De- gree of Thicknefs or Tranfparency ; though the L I contrary / [ i6 o ] contrary happens in ordinary Vifion, in which the Lights and Shades are produced by the different Expofure of the Surface of the Body to the inci- dent Light. 3. Small Parts of large Objedts cannot eafily be applied to the Microfcope, without being divided from theirWholes, which in the Cafe ofVivi fedtion defeats the Experiment, the Part dying, and no more Motion being oblerved therein. 4. The Focus in the 'Dioptric Microfcope being fo very Ihort, is exceeding nice, the leaft Deviation from it rendring Vifion turbid ; therefore a very fmall Part of an Irregular Objed can be feen di- ftindtly this way. To remedy thefe Defedts I have contrived a Mi- crofcope on the Model of the Newtonian Tele- fcope, in which I have been greatly affifted by that excellent Workman, Mr. Scarlet , jitn. I fhall fay nothing of the Effedts of this Inftrument, ex- cepting that it magnifies from the Diftance of 9 to 24 Inches, having the Honour of fhewing this In- ftrument to this learned Society. Explanation of the Figures. Fig. 1. The entire Microfcope mounted on its Pedeftal, on a proper Joint, contrived fo as to di- redt the Inftrument, towards any Objedt. Fig. 2. The Sedtion of the Inftrument, in which A B is the larger concave metalline Speculum, C D the lefier Concave metalline Speculum ; E Fa hollow Brafs Screw to fallen in the iff Dioptrical Glafs, or Plano [ 161 ] Plano-convex Lens ; G H another Screw fattening on the hollowCylinder EF I K(in which theDioptric Glafles are contain’d) to the Body of the Micro- fcope ; I K a Gap with a fmall Perforation, ferving as an Aperture to the Eye-Glafs, or zd Lens (con- vex on both Sides) ; M L is a long Screw patting through the Nuts P and V, ferving to bring the fmall Speculum to a proper Diftance from the larger ; N Qa Hiding Piece mov’d by the Screw, carrying the Stem Q_R, and little SpeculumCD, YX a Screw for the Cap at Fig. 3 ; that at Fig. 4, is to be fcrewed on the Aperture I K. Fig. 5. Shews the Conftrudion of the Micro- fcope, in which i is an Object fuppofed ered ; from which Rays falling on the Speculum a b> will be refleded to the Focus k , where they will form an inverted Image, and being refleded by the fmall Speculum c d, they will pafs through the Perfora- tion of the great Speculum , and falling on the Pla- no-convex Glafs ef, converge again, and form an erect Image at l\ which being brought very near to the Eye, and fo confiderably magnified, will be diftindly feen through the Eye-Glafs g h. II. An L 1 % [ ] II. An Account of the Standard Me a- • fures preferred in the Capitol at Rome. By Martin Folkes, £/»; V. T. R. S. IN the Wall of the Capitol is a fair Stone of white Marble, of the Length of 8 Foot y Inches Englijb , and of the Breadth of 1 Foot 9 Inches and a half; upon which are infcrib’d the Standards of feveral Mealures with thefe refpe&ive Infcripti- ons: Piede Ro : Pal. IIII. One. Xll. Deti XVI. Piede Greco. Canna di Architet. Palmi X. Staiolo Pal. V. Quar. III. Canna di Merca. Palmi otto d’ altra mifura. Braecio di Merc. Pal. III. d’ altra mifura Braccib di Teffito di Tela.. Curante Lu. Poeto. The Lines that reprefent thele Meafures, are cut in the Marble, pretty deep ; but as they have, confequently, a confiderable Thicknefs, it is fome- what difficult to be very exadt in taking off their Dimenfions. I, however, attempted to do it as nearly as I could, by fetting the Point of my CompafTes [ ] Compares in the middle of the croft Lines, that are drawn to determine the Beginnings arid Ends of the Meafures. The Palm of the Architects is eafier to give than the others, by reafon the whole Canna is infcribed on the Stone : This I therefore took ofl^ as I prefume others have generally done, and then divided it into io equal Parts. After- wards my chief Attention was given to the Ro- man Foot, as of greater Confequence than the other Meafures. They all, however, follow as they occurr’d to me, in fuch Parts as the London Foot contains a thoufand of. The Roman Foot 966 +• This is divided upon the Stone, firft into 4 Palms, and then on the upper Part into 12 Uncite, and on the lower into i6Deti, according to thelnfcription. The Greek Foot 1006 -|-. This is alfo divided like the Roman. The Canna of the Archite&s 7325. It is divided into 10 Palms, each of which is therefore 73 it of the Englijh Foot. The Staiolo being 5 Palms and £ is 4212 — . The Canna de Mercanti divided into 8 Palms of another Meafure, 6 Foot 6 Inches 4I. The Braccio de Mercanti , divided into 4 Palms of another Meafure, 2 Foot 9 Inches 4. The Braccio di Tejjitor di Tela , divided into 3 Parts, 2 Foot 1 Inch 4- The Palm of the Architects is aftign’d by Mr. Greaves 732 of the Englijh Foot } and the fame is given by Monfieur Tic art to the Taris Foot, as 494 [ it* ] 4944 to 7 20; which reduced, becomes 732+ of the Englijh Foot, as before, and as it came out from my own Tryal. The Roman Foot is given by Ticart from this very Stone 65-3 fo of fuch Parts as the Faris Foot contains 710 j that is, by Redu&ion, 967 + of the Englijh ; and the fame by Fabrettf who alfo meafiired it upon this Stone, is align’d to the Palm of the Archite&s, as 2040 to 1545*; which reduc’d upon the former Meafure of the Palm, is 9 66 j of the Englijh Foot. Thefe Meafures come out as near as the Nature of the Standard can poffibly al- low ; and as it was fomewhat frefher in Monfieur Ficarfs Time than it is now, I would make no Difference in the Proportion he has affign’d ; but fuppofe the Roman Foot on this Marble was intend- ed to be fuch a one as fliould contain 967 Parts of the Englijh very nearly. Mr. Greaves had long before aflign’d the Mea- fure of the Roman Foot from Cojfutius' s Monument, to be 967 of the Englijh , and had preferred that Meafure to the others he had taken from the Tomb of Statiliusy and the Congius of Vefpajian . And I think one can make no doubt, from what has been {aid, but Cojfutius ’s Foot was the Foot intended to be infcribed upon this Marble,- though that Mo- nument is itfelf now loft: at leaft when I was at Rome I could get no Intelligence of it, though I made a diligent Enquiry amongft all the People likely to be acquainted with it. Fabrettiy in his Work concerning Aqueducts, where he gives the above-mentioned Proportion of the [ x6, ] the Palm to the Foot, finds fault with Lucas Foetus, as having made a wrong Calculation of this Propor- tion in his Book, *De Menfuris & Fonderibus . True it is, that the Proportion there given by Foetus, does not agree with the Foot upon the Marble, but yet it is no falfe Calculation, as Fabretti thought ; and had he examined Foetus's Book with Care, he would have been fenfible this is not theFoot he there contends for, but the Cojjutian Foot which Lucas Foetus in his Book difputes againft. The Truth therefore is, that he either alter’d his Mind after the writing of that Book, before the Marble was fet up ; or, more probably, that tho’ he had the Care of having thefe Mealures inferibed on the Marble, he was direfted by a fuperior Authority what Meafures he was to have engraved 5 and that accordingly he had, as near as he was able, th Coffulian Foot deferibed for the ancient Roman Foot on the Stone : And that this was the Cafe, and no Miftake about the Number, as Fabretti fuppofes, appears not only from the Tenure of his Book, where he condemns Cofutius's Foot,which there appears, but alfo from his Scheme at the latter End, where he has given what he calls Scema pedis legit imi, agree- ing with his own Numbers, viz. ix Inches, whereof 9^ make the Palm of the Architects, and alfo the Menfura Colotiani & Statiliani pedis , agreeing with that now inferibed on the Marble. TheCWtf- tian is the fame Monument as the Coffutian, fo called from the Perfon in whofe Poffeflion it had formerly been ; and he had before faid, p. 5. that according to theTeftimony of Fhilander , the St a - t titan c »« — — — - • III. Obfervationes nonnullas nota- tu non indignae, Anno 1734. Ab Johanne Frid Weidler, R. S. S. & c. Vitembergce fa&ae. i.T"\ I E xxiii. Januar. A. 1734- iterum apparuit I / fplendidaadmodum,/f#r0rtf Borealis fvefyeri hor. vii. m. 6. Sub feptentrionem vifus arcus ater, cum ( *<^7 ) cum dupllci fafcia Candida eidem infidente, quam ni- gra regio media diftinguebat 5 aflurgebat arcus ultimus candidus ad akitudinem 25 graduum ; in tradu nigro fubinde incendebantur pyramides lucidae; reflexo lumi- ne prope Zenith fimilis candidus arcus producebatur ; h vii. 30'. albus tradus in occafum longius ultra ip- fum occafus aequino&ialis cardinem diftundeba- tur, attingebat in medio altitudinem 5*0 graduum ; h. vii. 3 5'. clara regio ufque in verticem diducebatur ; nubes hinc inde intermiffae verfus occafum tendebant, id quod raro inAuroris Borealibus folet evenire^ admi- ratus etiam fum nubes quafdam circa N. E.haerentes, quae ante regionem lucidam promovebantur, et ul- tra quas lux aurorae diftinde cernebatur ; ex quo elucet aurorae lumen longe ultra nubes attolli. h, vii. 38' lucida aurorae regio infra horizontem fefe demittebat, imprimis verfus occafum 5 etiam illud meretur attentionem, quod etfi haec aurora fplendi- da effet admodum, paucas tamen pyramides lucidas oftentaverit : hor. viii. 30' fere tota lux infra hori- zontem fuit condita,eminebat adhuc prope occafum altitudine 10 graduum ; tradus arcus nigri fub feptentrione una cum exigua fafcia Candida immi- nente adhuc hora x. conlpiciebatur. 2. Die xxvii. Januar . vefperi hor. vi. is’, nota- ta fuit . nempe reperi ? £ 3 5. minutorum unius $0 L & gradus : Venus meridiem, luna feptentrio- nem refpiciebat, hor. vi. 57' ?z=26/ 8c in hac obfervaticne linea per Venerem & utramque falcis lunae cufpidem duda reda erat, poftea luna fenfim longius a Venere exceflit. M m 3. Die ( %6 8 ) 3. Die xvii. Febrnarii non praetereunda eft hu* militas mercurii in baromecro ad 28 Dig. 7. Lin. qua* lem antchac heic locorum non animadverti j praefa- gium inde capere licuit horrendae procellas, & im- petus ventorum, qui omnia iufque deque verlurus videbatur,laterese tedtis p. m. hor. iii magno nume- ro dejiciebantur,ut nemo in plateis tutus pofiet am- bulare. haecprocella in Saxonia et alibi in Germa- nia paflim aedificiis, fylvis, hortifque damna longe maxima intulit, incredibilem arborum numerum radicitus evulfit, fregit annofas quercus alialque ar- bores, homines in libero campo pedibus conlifterc nequiverunt. 4. Die xix. Martii vefperi hor. vi^'circa N.N.W. fub ieptemtrione apparuit arcus ater fafcia al- ba lata extenia veftitus 5 lux albas fafciae clarior e- rat verfus occafum, quam verfus ortum, fed py- ramides lucidae vel undae, quales auroras boreales comitari folent, infecutae non funt. Sunt ergo quaedam aurorae boreales quas candidam tantum iub feptentrione coeli regionem, fed fine lads motu o- ftendunt. 5. Die xxix. Martii aurora borealis infignis ex- plenduit, quam primum confpexi hora ix. Luna yer- gebat in occafum, Sc per nubes, tantum lucebat ; eoelum totum fere nubibus tedium erat Sc tamen circa feptentrionis cardinem clara poft diftradas nubes regio, e qua lucidae fubinde pyramided cer- tiflimo aurorae borealis praefentis indido, prodi- bant : deprehendi etiam poft nubes lucidum aurorae tra&um in arcum componi : lucidas pyramides ufque adhor.xh obfervari potuerunt 3 rarum fpedaculum coelo ( a6 pi O i_ bJj rt J2 ci o ^d S-. 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The firft Column contains the Month ; the fecond Column is the Day of the Month j the third the Hour of the Day, beginning at Six in the Morning, to Twelve at Noon, and Nine at Night \ the fourth Column is that of the Thermolcope j the fifth Column is the Height of the Mercury in the Baro- icope, the firft Number is the Inches of its Height, the fecond and third Number marks the tenths and hundredth Parts of an Inch ; the fixth Column is the Latitude the Ship is in, by Account, every Day at Noon ; the feventh Column is the Longitude the Ship is in every Day at Noon, by Account, from the Meridian of London (except where otherwife exprefs’dj. The Column Variation, is the Variation of the Needle ■, and the next four Columns are the Latitudes obferv’d at Noon by four feveral new Inftruments ; the firft is Mr Smith’ % Prifmatic Quadrant, the fecond is Mr. Hadley’s, the third by Mr. John Elton , and the fourth by Mr. Caleb Smith and Mr. William Ward i the next Column is the Wind for the moft Part of the Twenty-four Hours. The Thermofeope which I made ufe of in the Voyage, was made by Mr. John Patrick, together with the Barofcope ; in his Thermofcope he places [°] at the Top, fuppofing it to be the Heat under the Line, and fo the Figures increafe down- wards, with the Increafe of Cold. Temperate is placed at ay. This Prifmatic Quadrant of Mr. Caleb Smith I find to be of very great Ufe at Sea, in particular for the Stars, as I have ex- perienced feveral times in my Voyage to Hndfon’s Bay , in the worft of Weather, when you can but fee the Horizon ; and his other is of great Ufe, in tolerable fin ooth Water, in foggy and hazy Weather, when there is no Horizon to be feen, yet have the Benefit of the Sun. V. An ( 2-8i ) IV. An Experiment to [hew that fome Damps in Mines may he occafioned only by the burning of Candles under Ground, without the Addition of any noxious Vapour, even when the Bot- tom of the Tit has a Communication with the outward Air, unlef the Out- ward Air he forcibly driven in at the [aid Communication or Tipe. By the Reverend]. T. Defaguliers, LLD. F. R. S. Experiment I. IN a Cylindric Glafs-Receiver, open at both Ends, whofe lower End is plung’d in Water, and up- per End cover’d with a Plate with an Hole of near an Inch Bore, a Candle of Six in the Pound will not burn quite the Time of one Minute before it goes out. Experiment II. A Candle will burn almoft as long when the Receiver is quite cover’d. Experiment III. The Receiver having the Hole of the Plate open, and a Pipe at Bottom communicating with the ex- ternal ( ) rernal Air, will burn but a little longer than in the firft Experiment ; and if you blow in at the Pipe with your Mouth, it will go out rather fooner. ExPERI ME NT IV. ?/- : •' * ' ' ’ * * ^ '■** * ^ \ * * y • j Blow in at the Pipe with Bellows, and the Candle will burn as long as you will. V. ^Chemical Experiment/^ Mr. John Maud, ferving to Ulujirate the Phoeno- menon of the Inflammable Air Jhewn to the Royal Society by Sir. James Lowther, Bar ■■ as defer ibed in Phi- lofoph. Tranfadt. Numb. 419. SIR James Lowther having formerly favour’d the Society with an Experiment upon fome Air which he collected out of a Coal-Mine, and brought in Bladders clofe tied, by Sea to Town: The EfFecSt of which was, that the Air being prefs’d out of the Bladder through the fmall Orifice of a Tobacco-Pipe, wouid catch Fire from a lighted Candle, and burn like an inflammable Spirit, until it was all confumed. A particular Ac- count of which has been printed in the iPhilofoph. Tranf. Numb- 429. p. 109, &c . Upon confidering that the Caufe was only a great Quantity of fulphureous Vapours flu&uating in that Air, I was naturally induced to make an Eflay [ i83 ] Effay, by an artificial Mixture, to produce the like Effedt. It is very well known to every one verfcd in Chemical Affairs, that mod Metals emit great Quantities of fulphureous Vapours, during the. EfFervefcence which they undergo in their So- lutions in their relpective Menjirua , or Solvents. Of thefe Fumes Iron emits a great Quantity whilft it is diflolving in Oil of Vitriol, which are very in- flammable, and not eafily to be condens’d. Thefe Fumes I collected into a Bladder with the defined Succefis, and having produc’d before the Society two Bladders of this fictitious Air, at the fame time that Sir James Lowther was pleafed to make trial of his, they both exhibited the fame Phenomena. I fliall here give a more particular Account of the Preparation made ufe of, which was as fol- lows. I took 3ij of Oil of Vitriol and mixt it with 5 viij of common Water, which I put into a Glafis with a flat Bottom about ten Inches wide and three deep, with a long Neck ; to this I added 3ij of Iron Filings: There inftantly arofe a great Heat, with a violent Ebullition, and the Iron was wrought upon very faff, with Fumes copioufly exhaling. To the End of the Neck of the Glafis I luted a Bladder void of Air, the Neck of the Bladder being faften’d to a Tobacco-Pipe ; the Fumes arifing from the difi folving Metal foon puffed up the Bladder to its full Extent, when that being taken away, the Neck of it being firft tied clofe with a String, I applied ano- ther in the fame manner : Thus you may get as many Bladders full as you can, whilft the EfFervefcence lafts. T wo of thefe Bladders were tried before the Society, O o and [ 18* ] and exhibited a Flame like thofe of Sir James Low- ther> very like in the Smell, tho’ fomewhat different in the Colour of the Flame. After I had prefs’d Part of the Air out of the Bladder, by drawing back the Hand, the Flame was fuck’d into the Bladder, and fet on Fire, what inflammable Air re- main’d, all at once j which went off like a Gun, with a great Explofion. What is worthy of Notice in this Experiment is, that all the Air which fill’d the Bladders was as it were generated de novo out of the Mixture, or elfe recover’d from being lock’d up in the Body of the Metal in an unelaftic State. This Experiment will eafily explain a very probable Caufe of Earthquakes, Vulcanos, and all fiery Eruptions out of the Earth ; for no- thing more is requifite than an Intervention of Iron with a vitriolic Acid and Water. Now Iron is gene- rally found accompanied with Sulphur : And com- mon Sulphur may be analyfed into an inflammable Oil, and an acid Liquor like Oil of Vitriol. This Acid therefore in the Bowels of the Earth, by be- ing diluted with a little Water, furrounds the Iron, and works upon it in the fame manner as defcribed above y an Effervefcence and inteftine Heat arifes ; the Air which comes from the Mixture is rarified, and becomes very elaftic, its Impetus , by how much the more compreffed by the incumbent Weight of Earth, is increafed even to an unlimited Degree, and at length, like Gun-powder, will re- move all Obstacles, and will exhibit to the Specta- tors above Ground the terrible Phenomena of Earth- quakes and Eruptions. Thefe inflammable Fumes 1 fome- C 18* ] fometime$,if very much heated, will, asfoon as they come to the open Air, catch Fire, and fo produce thofe fiery Eruptions, of which there are fo many Inftances in the World. VII. A Letter from Mr. Henry Forth to the late Revd William Derham, 2). 2). Canon o/'Windfor, andF.R S. concerning the Storm Jan. 8th, 17 gf. ‘Darlington , Jan. 18, 1735. Honoured Sir, AL T H O’ I am not fo happy as to be acquainted with your Perfon, i am no Stranger to your Labours, wherewith you have obliged the World; and that Part which relates to Oblervations upon the Alteration of the Weather, I have for lome fmall time purfued, for my own private Satisfaction, upon your ingenious Model. The difmal Accounts wc have had from the Southern Parts, of the Storm of Wind which hap- pened on the 8th Inftant, put me upon reflecting, that one of your Curiofity might defire to know how our Northern Regions were affeCted by it ; which will, I hope, be a fufficient Apology for this Liberty. The Place from which 1 write, and where I re- fide, is 14 Miles South of Durham , Lar. 5-4° 4 6'. The Evening before the 8th, my Barometer flood O o a at t->8d.'J Inches, bat had been gradually falling for two Days. The Wind was then S. W. high in the fe- cond Degree ; which increafed towards Midnight a Degree more. Moft of the Day was attended with Snow or Sleet. The 8th in the Morning I found my Glafs fallen to 28 Inches, 38 Parts, and at Four o’clock m* down to 28 Inches, 5 Parts, and by Ten in the Evening rifen again to 28 Inches 45 Parts. All this while the Wind with us was in the North Eaft, with only a moderate Gale, tho’ attended all Day with Snow, which at Night was two Inches and a quarter deep ; and about Eight it began to freeze. As the Wind in the South Parts was all that while in the oppofite Quarter, I fliould have expedled an Accu- mulation of the Air, and, as a Confequence, the riling of the Barometer at the time of its falling the lowed. Had the Storm been the Night before, when our Wind was in the fame Direction, and had afterwards fallen, I fliould then have imputed the Fall to the quick Return of the Current of Air to reftore the ^Equilibrium : But as it is, the fmall Pro- grefs I have made in Natural Thilofophy , leaves me in Ignorance. I cannot conclude without once more asking Pardon for this Freedom, and alluring, yon that I am, £ I Rr Tour mojl obedient , humble Servant , Henry For tit. [ 187 ] T. S. As we have been fortunate in efcaping the lad Storm, we have been no lefs loin regard to the melancholy Effe&s which the great Rains have pro- duced in the more Southerly Parts; for tho’ we had more than ufua! with us the laft Month (for I find by my Regifter that 13 8y Pts. fell through my Funnel, whofe Area is juft ico Inches, in 'De- cember laft) yet the almoft conftant intermitting Frofts we had, kept it from going oft in any confi- derable Quantity at a time. VIII. An Account of the Bones of Ani- mals being changed to a Red Colour by Aliment onty. By John Belchier, Surgeon, F. R. S. HAT the Circulation of the Blood is carried on through the Bones, is evident from many Fhoenomena obfervable in Surgery ; but that the Circulation is univerfally and intimately diftributed through the moft folid and compact Sebftance of the Bones (tho* hitherto by fome made a Matter of Doubt) will appear undeniably from the Inftances here produced ; which are the Bones of feveral Hogs, of a different Breed, changed to a deep red Colour meerly by Aliment. And what makes this Inches. Barometer, greateft Altitude 30: 10 lead ditto 29 : 13 mu 1*88] ftill more furprifing is, that neither the flefhy nor cartilaginous Parts fuffer the lead Alteration in Co- lour or in Tafte. The Diet with which thefe Hogs are fed is Bran, after it has been boiled in a Copper with printed Callicoes, in order to clean them from a dirty red Colour occafioned by an Infufion of Madder Rooty which is.made ufeof to fix the Colours printed on the Cloth ; fome of which Colours are made with Preparations from Iron, others with a Mixture of Alum and Sugar of Lead. The Parts printed with the Preparation of Iron produce Black and Purple ; thofe printed with the Mixture of Alum, Red of different Degrees, according to the Strength of the Mixture. The Bran having abforbed the red Co- lour difcharged from the Cloth, is mix’d with the common Food of the Hogs, and produces this Effed on their Bones. Upon examining thefe Bones, I obferve in gene- ral the folid Parts to be moll: tin&ur’d, and the Teeth particularly, except the enamell’d Part, which is of a different Spbflance ; and upon fawing them through, I find the internal Parts equally tinged, ex- cept at the Ends of the Bones, where the Sub- ftance is more fpongy. And in order to difcharge the Colour, I have macerated them in Water for many Weeks together ; have boil’d them often, andfteep' ed them in Spirits, but all hath prov’d inefFedual ; nor is the leaf! Tindure given to any of the Li- quids, in which I have made Experiments. Whether this Colour is produced from the Mad- der only, or from all the Colours blended together, 1 purpofe to make further Experiments. VIII. An [ **9 3 IX. An Obfervation of a white Liquor re [enabling Milk , 'which appeared in- Jlead of Serum [eparated from the Blood after it had flood fome time. By Alexander Stuart, M. D. Thyftcian in Ordinary to her Majefly 3 F. R. S. and of the College of Thy [mans, London. OHN WICKS, Carver, m Bromley -fir eety about forty Years of A ge, had been ill about three Weeks by a Lofs of Appetite and Indigeftion, and at lafl a Pain and Diflention of his Stomach, with a low Degree of an inflammatory Fever ; his Tougue dry, rough, and of a rufty brown Colour in the Middle, with a white foft Lift on each Side s his Urine very high coloured, with a flimy Pink- coloured Settlement in great Quantity Stools very yellow and loofe. Eight Ounces of Blood being taken away,inflead of Serum nothing appeared above the Coagulum but ihis white Liquor, refembling Milk, which I pour- ed of F to the Quantity of four Ounces, or there- abouts. There was no Smell perceptible at firfl, but in fix Days it began to have the Smell of rotten Eggs : It flood in a Room, where there was a Fire for fome Hours of the Day, for three Weeks more, in which time it did not alter its Confiflence nosr Smell. 1 2.9° i He had eat very little for a Week before I firft law him ; and only a little of a Calf’s Foot ftew’d the Night before for Supper, and no Breakfaft that Day. He was addided to drinking of ftrong Pale* Malt Liquor every Day in his Health. If this be Chyle , it is a Subftance very different from Milk, which is apt to turn four and thick by keeping, and never contracts the putrid Smell of rotten Eggs, as this did. Whether it be not Chyle turn’d putrid, and near to Purulency, by a long Circulation in the Blood-Veftels, but not con- verted into Blood, through fome Defed in the Sanguification , is a Queftion which I doubt can- not be decided without more Oblervaticns and Ex- perience. The Coagulum of the Blood was covered with a fizy Pellicle, about the Thicknefs of a Shilling, The red Part was of a grumous, tender, incoherent Confiftence. Tho’ he was much better in a Week’s time, I order’d five Ounces of Blood to be taken away, to fee what Change had been made, and found the Coagulum cover’d with a fizy Pellicle to the Thick- nefs of Half a Crown, the red Part of a due Con- fiftence, the Serum clear, without any Chyle . The Urine became clear, and he recovered in a- bo at two Weeks after I faw him firft. 1 • f X. 4tt * { *9T ) X. Tin Account of what was ohferv'd upon opening the Corpfe of a Ter [on who had taken federal Ounces of crude Mercury internally ; and of a Plumb-Stone lodgd in the Coats of the Redtum. Communicated in a Letter from the late T)r. Madden, Thyfician at Dublin, to Sir Hans Sloane, Bar . HE Internal Ufe of crude Mercury is be- come fo frequent of late, that I believe it may produce fome great Benefit to Mankind here- after, if a careful Collection was made of all the extraordinary Cafes relating to the good or bad Ef- fects of this Practice. There are fome Circumflances in the following Cafe, which were not owing to the internal Ufe of Mercury ; yet there are many others which were undoubtedly occafioned by it. Some time ago I was prelent, with Dr. Robin fon^ and Mr. Nichols , our Surgeon- General, at the open- ing the Body of a Gentleman of Note in this Town, who, for feveral Years, had found great Difficulty in going to Stool. This Diforder increafed upon him towards the latter End of bis Life, and he was feized with a violent Diftemper, of which Tref. R. S. SIR , *P 1 ( 2-9 1 ) I can give you no Defcription, having never attended him. In order to procure a Paffage downward (which I fuppofe was a principal Complaint) he took, by the Advice of a Fhyfician,fince dead, feveral Ounces of crude Mercury , at different times, without any Relief, and at length died. Upon opening th z Abdomen, which was very much diftended, there burft forth a great Quantity of Wind, though the Guts and Stomach were not wounded. The Stomach was empty -5 and upon opening it we found the inner Coat very much inflamed from one End to the other. We obferved in feveral Places of the ftnall Guts, fome fcatter’d Grains of crude Mercury , and along with them we generally found a black gritty Powder, very like Aithiops Mineral , which was, without doubt, the Mercury changed into that Confidence. The Colon was diflended, at its Origin, to twice the Thicknefs that an ordinary Man's Arm has about the Shoulder. This extraordinary Thick- nefs extended itfelf about the Length of ten or twelve Inches; from hence it, gradually decrea- fed, and where it was attached to the Stomach, it had not above a third Part of that Size. It was much inflamed at its Origin, and con- tained at leafl fix Quarts of liquid Excrement, in which we obferved crude Mercury , and alfo fome of the black Powder mentioned above. The Colon , where it parted from the Stomach, and diverged toward the left Kidney, adhered about ( *93 ) about the Space of three Inches to the Omentum ; and upon feparating the Adhefion, we found an Ab- fcefs and Inflammation, which had communicated irfeif to thofe Parts of the lleon ^ which were con- tiguous to the Colon. The Colon had in this Place a Perforation about three Quarters of an Inch in Diameter, and four froalfer Perforations, about the Size of a Gooie’s Quill, through which fome Excrement had pafled into the Abdomen . The Coats of the Colon, as it approached the Intefiinnm rectum , began to grow icirrhous, about the Space of fix Inches,, and the Capacity became gradually fmaller. . The Valves of the Colon , about this Place, were of a reddilh Colour, and were more fcirrhcus than the other Parts of the Intejline. The Coats^ of the Colon, where it was continued to the Rettum^ were at lead half an Inch thick, and its Ca« pacity was not above the fourth Part of the natu- ral Size Upon cutting the Gut horizontally hereabout, we perceived a Body which flopped the Paf- fage, and feemed to the Touch almod of a car- tilaginous Confidence. Having opened the Gut Lengthways, we found it was no more than two of the Valvula Conniventes Coli r which were grown fcirrhous, and were protruded downward into the Rettum. We alfo found a fmail Rlumh-Stene* in this Place, which was quite buried in the Tunica Vil- lofa > and had made tfeif a Bed between the Coats Pp i g£ ( »94* ) of the Re cl urn. It had likewife formed a fmall Abfcefs, which difcharged itfelf into the Cavity of th zTelvis, but had not any Communication with the Cavity of the ReEtum. XI. Obfervatio EclipfeosTeliuris Rom re habit a in ^/Edibus Eminentijfimi Car- dinalis De-Vi a v. Non. i. e. d. g Maij, N. S. Apr. xi. V. S. mdccxxxiv. per Didacum de Revillas, Abb at. Hieronym. R. S. S. <& Andream Cel- lium, R. S. S. AJtrom. TrofeJJ. Upfal. . R. S. Suec. Seer. Clarijfimo *P raft ant tjjimoque Viro EUSTACHIO MANFREDIO, Didacus de Revillas, Abbas Hieronym. t. t>. TU M erga me humanitatis, amorifque erga Te mei recordationem in animo tuo excitandi, Ornatiflime Manfredi, per opportunam fuppedicac occafionem Solaris Deliquii Obfervatio, quam in jucunda, tibique jam dudum familiari feveriorum Mufarum Diatriba, ./Edibus nimirum Eminentiffi- mi literatorum hominum Moecenatis Cardinalis DE-VI A, divifis officiis unacum Dodiffimo, rui- queamancifllmo Andrea Celfio, Aftron.Prof. Upfal. habuimus. Hanc ad Te mittendam communi con- filio ( 19? ) fliio cenfuimus 5 ut quemadmodum Coeli cum tuis Ephemeridibus miruro confenlum noftra hxc quo- que Obfervatio probat; probes Tu num eadem ab Obfexvationibus tuisminime diflentiat : quod fane fperamus. Curam enimvero omnem, cum ex fola- ris fpeciei ad Meridianam lineam appulfu, turn ex sequalihus Solis altitudinibus, eadem obfervationis die, 6c pridie etiam fsepius notatis, pro accurata temporis veri determinattone impenfam teftari poi- fumus. C^terum duplici, notx optima Telefcopio palmarum Romanarum circiter vi, Telluris defeddm obfervabamus (longiorum fiquidem tuborum ufum nimia Solis fere Meridiani altitudo, 6c alia quaedam incomoda prohibebant) : altero Solis imaginem dU rede ad oculum opacato vitro muni turn tranfmit- tente, Eclipfeos prxfertim initium & finem; altero in ad versa Tabella, ut moris eft, folarem fpeciem depingente, Phafes intermedias intuebamur. Spem equidem hujufcemodi obferyationibus vacandi ade- merant importune nubes, primum oriente Sole auftralem horizontis plagam, totum deinde Coelum pene inficientes. At dum denfioribus rariores fuc- ceftere, etfi primum Planetarum ofculum eripue- rint, primas Phafes aliquantulum incertas, 2C fpe- ciem circa Eclipfeos finem veluti denticulatam exhibuerint ; reliquas tamen obfervationes accurate definire concedebanr. Excipe ergo V. Cl. totius obfervationis feriem : & dum Literatorum omnium *ofa Te de Aftronomia optime merit-urn, ineolu- mem, fi unquarn alias cupiunt, me ut foies amare perge. Komx iv Non. Maii mdccxxxiv. Ohfer - 'ibferva- Temp. ver. tiones . p.mPDiei z H. • " 1 zz. 11. 35 11 27c 1 m 3 4- 0 IV 42. 6 V 23. 0. 5 1 VI 3. 16 VII 10. 31 ym 18. 16 IX 45- 11 X 5*- 1 ( *9tf ) Quant it as Obfcurationis 4 Digit . - - — - Initium aliquantum 0 i pr&ceffijfe trans 1 nubem videbatur. 1 1 z 2 — - - 7^/ paullo plus : & i max . obfcuratio im~ i . | minens cenfebatur . o £ o - - - - Finis . it ervm Obfervat. maxima Obfcuratio circa h . 23. 5. colli git ur . FINIS. ERRATA. Page 281. Line i. for IV read V. P. 282. L 7. for V. rerd VI. L O NT> O N: Printed by W. Innys and R.Manby, Printers to the Royal Society, at theWeft End of St. ‘Paul’s,. mdcc xxxvxi. Numb. 44.3, PHILOSOPHICAL TRANSACTIONS For the Month of October, 1736. The CONTENTS. I; The Defcription and Manner ofufing an Inftru- ment for meafuring the Degrees of the Expanfion of Metals by Heat . By Mr. John Ellicott. II. A further Account of the Bones of Animals be- ing made Red by Aliment only . By John Bel- chier, F. R. S. III. The Immerfions and Emerfions of the four Sa- tellites of Jupiter, for the Tear 1738. computed to * the Meridian of the Royal Obfervatory at Green- wich, by James Hodgfon, F. R. S. and Mafter of the Royal Mathematical School at ChriftY Hol- pital, London. IV. The apparent Times of fuch of the Immerfions and Emerfions of JupiterV Satellites, as are vifible at London, in the Tear 1738. By the Same. V. Bart of a Letter from William Burton, M. D* at Windfor, to C. Mortimer, R. S. Seer, concern- ing the Viper- catchers, and their Remedy for the Bite of a Viper. VI. A Narration of the Experiments made June x, 1734. before fever al Members of the Royal So- ciety, and others , on a Man, who fujfef d himfelf to The CONTENTS. to be bit by a Viper, or common Adder ; and on other Animals likewife bitten by the fame , and other Vipers. "Drawn up by C. Mortimer, M. D* Seer. R. S. With fome Remarks on the Cure of the Bite of a mad Dog. VII. A brief Account by Mr. John Eames, F. R. S. of a Work entitled , The Method of Fluxions and Infinite Series, with its Application to the Geo- metry of Curve Lines, by the Inventor Sir Isaac Newton, Kt. See. Tranfated from the Au- thors Latin Original not yet made publick. To which is fubjoind a perpetual Comment upon the whole , &c. by John Colfon, M. A. and F. R. S. VIII. Of an Inguinal Rupture, with a Pin in the Appendix Coeci, incrufled with Stone $ and fome Observations on Wounds in the Guts 5 by Clau- dius Amyand, Efq j Serjeant Surgeon to His Ma- jesty, and F. R. S. IX. Hermann 1 Boerhaave, A.L.M. Rhilo - foph. (dr Med. Dolt. Medicine in Univerfitate Leidenfi Rrofejf. Colleg. Chirurgic. Rrref. Reg. Soc, Lond. necnon Reg. Sclent. Acad. Parifienf. Soc. de Mercurio Experimenta. Pars II. X. Eclipsis Lun^e partialis die fecundo O&o- bris, Styl. nov. Anno Mdccxxxv. Vitembergae Saxonum obfervata d]o. Frider. Weidlero, R. S, S. Printed for T. Woodward, at the HalfMoonr between the Two . Temple-Gates in Fleetfreet 5 and C. D av 1 s, the Corner of Rater-nofter-row^ next Warwick-lane . M.Dce.xxxvm. [ w ] I. The Defcription and Marnier of ujing an Inftrument for meafuring the Degrees of the Expanfion of Metals by Heat . By Mr. John Ellicott. See the Fig. prefix'd. A A is a flat Plate of Brafs, which, for farther * Strength, is fcrewed down to a thick Piece of Ma- hogany : Upon this Plate are fcrewed three Pieces of Brafs, two of which, marked BB, ferve as Supports for the flat Iron Bar C 5 and which, on account of its Ufe, I (hall call the Standard Bar. The upper Part of the third Piece of Brafs is a Circle about three Inches Diameter, divided into 360 equal Parts or De- grees : Within this Circle is a moveable Plate, divided likewife into 360 Parts, and a fmall Steel Index. The Brafs Circle in the Fig. is marked D, and the moveable Plate d. Upon the Standard Bar the Bar of Metal is laid, on which the Experiment is to be made, as E. - F is a Leaver 2 \ Inches in length, fattened to an Axis, which turns in two Pieces of Brafs ferew'd to one of the Supports marked B: To the End of this Leaver is fattened a Chain, or Silk Line, which, after being wound round a fmall Cylinder, to which the Index in the Brafs Circle D is fattened, pafles over a Pulley, and has a Weight hung to the End of it : Upon the Axis, to which the Leaver is fixed, is a Pulley, ^ of an Inch Diameter, to which a Piece of Watch-chain is fattened ; the other End of this Chain is hook'd to a ftrong Spring, marked G, which Spring bears againft one End of the Metal E. Q,q H E *98 3 H is a Leader exattly of the fame Form and Dimen- sions with the former 5 but the Chain faftened to the Pulley on its Axis is hook'd to the Standard Bar*, The Line fatten'd to the End of this Leaver, after being wound round a Cylinder, to which the moveable Plate fixed, paffes over a fmall Pulley, and has a Weight hung to the End of it 5 or rather the fame Line palling under a Pulley, to which the Weight is hung, has its other End faftened to the Leaver F : Thus one Weight lerves for both Leavers, as in the Figure. From this Defcription it is plain, that whenever the Bar E is lenghten'd, it gives Liberty to the Weight to draw the Leaver F upwards by its Aftion on the Spring G; and the Index will, at the fame time, by Means of the Silk Line, be carried forward in the Circle; and as the Bar fhortens, it will return back again ; the fame Motion will be communicated to the Standard Bar. The Lengthening the Bar the of ail Inch, will carry the Index once round the Brafs Circle, which is divided into 360 Degrees; therefore, if the Metal lengthens the 7200th Part of an Inch, the Index will move one Degree. To make an Experiment with this Inftrument , lay a Bar of any kind of Metal, as E, on the Standard Bar; then heat the Standard Bar to any Degree of Heat with a Lamp, and mark the Degree of its Expan- fion as marked by the moveable Plate : Obferve alfo the Degree of Expanfion of the Metal E, by the Heat * N. B. The Chain to the former Pulley being fatten'd to a Spring, and not diredlly to the Metal E, is only for the more eafy Ihifting the Metals. com- C *99 3 communicated to it from the Standard Bar, as mark'd on the Brafs Circle by the Index: Let the Inftrument (land, till the whole is thoroughly cold j then removing the Bar E, lay a Bar of any other Metal in its Place,, and heat the Standard Bar to the fame Degree of Heat as before, which is feen by the moveable Plates mark- ing the fame Degree of Expanfion. Then the Index will fhew the Degree of Expanfion of the fecond Metal, as it did of the firft; and, by this Means, the Degrees of Expanfion of different Metals by the fame Degree of Heat, may be exa&ly eflimated. i. . — , II. A further Account of the Bones of Animals being made Red by Aliment only. By John Belchier, F. R. S. IN the former Account, which I gave concerning the Red Bones of the Hogs, (feeNQ442.y>.286.) Imen- tion'd, That the Colour was occafion d by Bran, (being mix'd with their common Food) after it had been made Ufeofto clean printed Callicoes; the Colours of which were made, fome from Preparations of Iron , which were the Blacks and Purples ; others from Preparations of Alum , and Sacc. Saturni , which produces the Red Colours.; and that Madder Root was made Ufe of to fix thefe Colours on the Cloth. To which of thefe Preparations the Colofir was owing, I could not determine. Some were of Opinion, that it was intirely occafion d by the Preparations of Iron 5 others, that it was the whole blended together; And, in or- Q^q 2 dor [ 1 der to clear up this Point, I determin’d to make fome Experiments. The firft I made was upon a Cock, by mixing fome of the Madder Root with Fig ‘Duft, on which they feed. The Cock dying within fix- teen Days after his firft feeding on the Madder , I difle&ed him, and examin’d the Bones, not in the leaft Expectation of finding them ting’d in fo fmall a Time; but, to my great Surprize, found them univerfally of a Red Colour : So that, from this Experiment, it ap- pears, that the Madder alone caufes this Alteration But why the Bones only are affeCted, I fhall confider of in the Courfe of more Experiments. HI. The [ 301 ] III. The Immerfions and Emerfions of the four Satellites of Jupiter, for the Tear 1738. computed to the Meridian of the Royal Obfervatory at Greenwich, by James Hodgfon, F: R. S. and Majter of the Royal Mathematical School at ChriftV Hofpital, London. Eclipses of the firfi Satellite of Jupiter. D. H. M. D. H. M. D. H. M. January. February. 4 March. Emerfion& Emerfions. 3 B 16 M 2 7 21 M On i the 1 5th of 4 11 45 A 4 1 50 M March Jupiter 6 6 13 A 5 8 19 A and the Sun will 8 0 41 A 7 2 4 .8 A be in Conjun- 10, 7 10 M 9 9 17 M dtion. 12 r 38 M 11 3 4 6 M 13 8 6 A 12 10 15 A Arril, 15 2 35 A 14 4 44 A n 9 3 M 16 11 r3 M Immerfions. 19 3 32 M 18 5 42 M 20 10 G A 19 12 11 A 10 11 38 M 22 4 29 A 21 6 41 A 12 6 7 M 24 10 57 M 23 1 10 A 14 0 36 M 2 6 5 26 M' 25 7 39 M 15 7 5 A 27 11 55 A 27 2 8 M 17 1 34 A 29 6 24 A 19 8 3 M a* 0 53 A ,21 2 32 M 22 [ ] Eclipses of the firft Satellite of Jupiter. D. H. M. D. H. M. D. H. M. 22 9 I A Tune. 11 O 17 A 24 3 3° A r3 6 46 M 26 9 58 M Immerfions 15 1 14 M 28 4 27 M i£ 7 42 A *29 10 56 A 2 1 55 A 18 2 ii A 3 20 24 A 20 8 40 M May. 6 2 52 M 22 3 8 A 7 9 20 A 2 3 9 37 A Immerfions. 9 3 48 A 1 25 4 6 A 11 *0 16 M 27 ro 34 M* 1 5 24 A 13 4 44 M 29 5 3 M 3 11 53 M 14 11 13 A 30 ii 32 A 5 6 22 M 16 5 4i A 7 0 50 M 18 0 9 A August. 8 7 19 A 20 6 37 M 10 1 47 A 22 1 5 M Immerfions. 12 8 16 M 23 7 34 A '*4 2 44 M 25 2 2 A 1 1 A 15 9 13 A 27 8 30 M 3 0 29 A *7 3 4i A 29 2 59 M 5 6 58 M 19 10 9 M 30 9 27 A 7 1 27 M ®i 4 38 M 8 7 56 A 22 11 6 A July. 10 2 8 25 A 24 5 34 A 12 54 M 26 0 3 A Immerfions. 14 3 2.3 M *8 6 3i M 15 9 52 A 30 0 59 M 2 3 55 A 17 4 21 A 31 7 27 A 4 10 24 M 19 IO 50 M 6 4 52 M 21 *9 6 M > 1 11 20 A 24 6 18 A 9 5 49 A 26 0 47 A. C 233 ] Eclipses of the firft Satellite of Jupiter; D. H, M. D. H. M. D. H. M._ 28 7 16 M Emerfions. *7 7 34 A, 30 I 45 M l9 3 2 A 3i 8 14 A 8 2 36 M 21 8 30 M 9 9 5 A 23 2 59 M September. 1 1 3 34 A 24 29 27 A 13 IO 2 M 26 3 55 A Immerfions. 15 4 31 M 28 IO 23 M. 1 6 11 0 A 30 4 55 M': 1 2 44 A 18 5 29 A 4 9 13 M 20 1 1 58 M December^ 6 3 42 M 22 6 27 M 7 10 11 A 24 0 56 M Emerfioas. 9 4 40 A 25 7~ 24 A 11 11 10 M 27 1 53 A 1 1 1 19 A *3 5 39 M 29 8 22 M 3 5 47 A 15 0 8 M 31 2 50 M 5 0 15 A 16 6 37 A 7 6 43 M 18 1 7 A November. 9 1 11 M 20 7 36 M 10 7 39 A 22 2 5 M Emerfions. 12 2 7 A 23 8 34 A H 8 35 M' 25 3 3 A 1 9 19 A 16 3 3 M. 27 9 32 M 3 3 47 A 17 9 31 A 29 4 2 M 5 10 16 M !9 3 59 A 3Q 10 11 A 7 4 44 M 2 1 IO 27 M 8 1 1 13 A 23 4 56 M: October. 10 5 41 - A ?4 11 23 A 12 0 9 A 26 5 51 A Immerfions. 14 6 38 M 28 0 19 A l6: 1 6 M 3° 6 48 M -2 5 0 A 4 11 29 M 6 5 58 M Ecu pm* X>» %&>>%%>>&%»> - ■ J [ 3°4 ] Eclipses of the fecond Satellite 0/ Jupiter. D. H. M. D. H. M. April. January. Emerfions. 2 O 59 M 5 2 17 A 9 3 3 4 M 12 4 52 A 16 6 9 M 19 7 27 A 23 8 45 M 26 10 4 A 30 11 22 M February. Emerfions. 3 o 41 M 6 1 59 A to 3 18 M 13 4 37 A 18 5 56 M 20 7 14 A 24 8 34 M 27 , 9 54 A March. On the 15th of March Jupiter and the Sun will be in Conjun- ction., Immerfions. 11 ix 6 M is o 23 M 18 1 44 A 22 3 3 M 25 4 21 A 29 5 40 M May. Immerfions. 2 6 58 A 6 8 16 M 9 9 34 A 13 10 52 M 17 0 10 M 20 1 27 A 24 2 45 M 27 4 2 A 31 5 20 M June. Immerfions. 3 6 37 A 7 7 55 M 10 9 12 A 10 29 M D. H. M. 17 11 46 A 21 1 4 A 25 2 21 M 28 3 39 A July. Immerfions. 1 16 56 A 5 6 14 A 9 7 31 M 12 8 49 A 16 10 7 M 19 11 25 A 23 o 44 A 27 2 2 M 30 3 20 A August. Immerfions. 3 4 39 M 6 5 58 A 7 7 16 A 13 8 35 A 17 9 54 M 20 1 1 13 A 24 0 33 A 28 1 52 M - 31 3 11 A September. C 1°5 ] Eclipses of the fecond Satellite of Jupiter. D. H. M. September. Immerlions. 4 4 31 M 7 5 5° A ii 7 9 M 14 8 29 A 18 9 48 M 21 11 7 A 2.5 o 27 A 29 1 46 M October. immerfions. 2 3 5 A 6 4 24 M D. H. M. Emerfions. 9 8 17 A 13 9 36 M 16 10 54 A 20 o 13 A 24 1 sr M 31 4 8 M November. Emerfions. 2 c 26 A 7 6 43 M 10 8 1 A 14 9 19 M 1 7 10 36 A D. H. M. 21 11 53 M 26 1 10 A 28 2 27 A December. Emerfions, 2 3 44 5 5 1 9 6 18 12 7 35 16 8 52 19 10 9 23 11 26 2 7 o 43 30 2 o R T * Eclipses Eclipses of the Satellite 0/' Jupiter* D. H. M. January. Immerfions. 8 ii 48 M 15 3 48 A 22 7 49 A Emerfions, 8 2 39 A i£ 6 38 A 22 10 38 A 30 2 39 M February. Immerfions. Emerfions, 6 6 41 M 13 10 43 M 20 2 45 A 27 6 48 A D. H. M. March. Immerfions. March the 1 5th Jupiter and the Sun will be in Conjunction. Emerfions. April. Immerfions. n 4 27 A 38 8 30 A 2 6 o 33 M Emerfions. D. H. M. May. Immerfions. 3 4 34 M 10 8 35 M 17 o 36 A 24 4 36 A 31 8 36 A Emerfions. 3 7 9 M JO 11 10 M 17 3 9 A 24 7 9 A 31 11 8 A June. Immerfions. 8 O 36 M' 15 4 35 M- 22 8 35 M 2.9 0 35 A Emerfions. 8 3 6 A. 15 7 >32: ‘ »&& [ 3°8 3 January the ijl, at 8 h. 28 m. in the Evening, the fourth Satellite of Jupiter will Immerge into the Shadow, and at 9 h. 49 m. it will Emerge out of the Shadow. Again, on the 18 th Day there will be an Immerfion at 2 h. 55 m. in the Afternoon, and at 3 h. 48 m. the Emer- fion will happen. Again, on the 4 th of February , at 9h. 31m. in the Morning, the fourth Satellite will Immerge into the Shadow of Jupiter , and at 9h. 44 m. the *ftme Morning, it will Emerge out of the Shadow. And after this Time, the fourth Satellite will pafs wide of the Shadow till the 24/A Day of June 1740 *, when the Im- rneiifion will happen at 8h. 43 m. in the Evenipg, and the Emerfion at ioh. 15m. the fame Evening. IT. The [ B°9 J IV. The apparent Times of fuch of the Immerfions and Emerfions of Jupiter Y Satellites } as are viftble at London, in the Tear 1738. By the Same . ID. H. M. D. H. M. January. June. I 1 8 29 A I. 4 16 6 2 52 M I. I 2 6 6 13 A E. 1 17 8 3 6 M I. 3 3 12 4 52 A E. 2 18 22 1 6 M I. 1 4 '13 8 6 A E. 1 19 25 2 21 M I. 2 5 15 6 38 A E. 3 20 29 2 2 ON UN I. 1 6,19 7 27 A E. 2 7 22 I 4 29 A E. I July. 8, 22 7 49 A E. 3 9 29 6 24 A E. 1 21 7 11 20 A I. 1 22 13 11 2 A I. 3 February. - 23 15 1 4a M I. 1 24 19 11 25 A I. 2 10 13 4 37 A E. 2 25 21 0 37 M I. 3 ! II, 21 6 41 A E. 1 26 21 3 2 M E. 3 1 12 27 6 48 A E. 3 27 22 3 8 M 1 I. 1 28 27 2 2 M I. 2 April. 29 3° 11 32 A I. 1 1 3 28 4 27 M I. 1 August. May. 30 3 4 39 M I. 2 3i 7 1 27 M I. 1 14 14 2 44 M I. 1 32 13 3 35 A I. 2 45 24 2 55 I. 2 33 14 3 23 M I. 1 34 15 9 52 A I. 1 35 20 11 13 A I. 2: * - 36 [ 310 ] D. H. M. D. H. M. 36 22 II 48 A I. I 64 9 9 5 A 7 1 37 25 8 49 A I. 3 65 15 3 3° M 7 — < 4 3 38 11 I I A E. 3 66 1 5 4 3i M 1 39 28 I 52 M r. 2 67 16 10 54 A 7 1 1 2 -40 30 I 45 M 1. 1 68 16 11 0 A 7 i-<. 1 4i 31 8 14 A 1. 1 69 18 5 29 A E. 1 70 22 6 27 M E. 1 September. 71 24 0 50 M E. 1 72 24 1 3i M E. 2 42 2 0 53 M 1. 3 73 25 7 24 A E. 1 43 3 14 M E. 3 74 3i 2 50 M E. 1 44 4 4 30 M I. 2 75 3i 4 8 M E. 2 45 6 3 42 M I. 1 4 6 7 10 11 A I. 1 November. 47 9 4 57 M I. 3 48 13 5 39 M I. 1 76 1 9 19 A E, 1 49 14 8 29 A I. 2 77 3 5 26 A E. 2 50 i5 0 8 M I. 1 78 7 4 44 M E. 1 5i 16 6 37 A I. 1 79 8 1 1 13 A E. 1 52 21 1 1 7 A I. 2 80 10 5 4i A E. 1 53 22 2 5 M I. 1 81 10 8 1 A E. 2 54 23 8 34 A I. 1 82 12 5 18 A I. 3 55 29 1 46 M I. 2 83 7 33 A E. 3 5^ 29 4 2 M I. 1 84 16 1 6 A E. 1 57 30 10 3i A I. 1 85 17 7 34 A E. 1 86 i7 10 36 A E. 2 October ^ : 87 !9 9 18 A I. 3 . \ 88 1 1 32 A E. 3 58 6 4 24 M I. 2 89 24 9 27 A E. 1 59 6 5 58 M I. 1 90 26 1 1 1 M E. 2 60 7 9 I I A I. 3 91 27 1 *7. M E. 3 61 7 1 1 28 A E. 3 62 8 2 36 M E. 1 December. *3 4 9 8 I? A E. 2 1 92 1 1 1 A E. 1 t ] D. H. M. D. H. M. 93 3 5 47 A E. I IOO 19 IO 9 A E. 2 94 5 5 1 A E. 2 IOI 24 1 I 23 A E. 1 95 9 1 11 M E. I 102 25 . 5 12 A I- 3 96 10 7 39 A E, I 103 25 7 24 A E. 3 97 12 7 35 A E. 2 IO4 26 5 51 A E. 1 98 '7 9 31 A E. I IO5 2 7 0 43 M E. 2 99 59 4 0 A E. I In all 105. The 2 d, 5tb, Stb and 11th Columns, Ihew the Times when the Eclipfes will happen •, the 3^ 6th , gtb and nth, the Kind. Thus, on the ill of January, at 8 h. 29 m. in the Afternoon or Evening, there will happen an Immerfion of the fourth Satellite of Jupiter : On the 6th,. at 6h. 13 m.. an Emerfion of the firft, £sf c. V. Tart, - [ 3*2 ] V. Part of a Letter from William Burton, M . D. at Windfor, to C. Mortimer, R, S. Seer, concerning the Viper-catch- ers, an A their Remedy for the Bite of a Viper. SIR, Windfor, May 24, 1734. HE Bearer of this, William Oliver, and his Wife, called upon me laft Week with their Vipers, and either of them offered to be bit by any Viper, and to fuffer their Arm to fwell for fomeTimc ; and then, by the external Application of a common cheap Remedy, in a few Hours to remove all the Symptoms. The Experiment was made laft Wednef day in our Town-Hall, before Dr. cDerham, F. R. S. Dr. Waterland, the Phyficians, Apothecaries, and Chi- rurgeons of this Town, and many other Gentlemen of this Neighbourhood. He was bit in the upper Joint of the Thumb, and higher up on the fame Arm, by two different frefh Vipers: His Thumb, Hand and Arm foon after fwelled much, and all the ufual Symptoms of a Viper -bite followed ; he applied the Remedy \ Sallad-Oil~] before us, with the promifed Succefs : But all the Contributors engaged not to di- vulge the Remedy * * *. Tours, &c. William Burton. vr. A Vf. A Narration of the Experiments made June i, 1734. before fever al Members of the Royal Society, and others , on a Man, who fufferd himfelf to he bit by a Viper, or common Adder ; and on other Animals likewife bitten by the fame , and other Vipers. Drawn up by Cromwell Mortimer, M. 2). Seer. R. S. With fome Remarks on the Cure of the Bite of a Mad Dog. Illiam Oliver and his Wife, from Bathy who follow the Bufinefs of catching and felling Vipersy offered thcmfelves to be bit by any Viper that fhould be procured, trufting to the Virtue of a Remedy they had lighted on by chance in trying Va- riety of Things, when the Woman was once acci- dentally bitten, and the ufual known Medicines, even the Oil of ViperSy had no Effeft in affwaging her Pains, efpeciallv of her Bread of the fame Side as the Hand in which fhe had received the Wound. This Remedy, which is only common Oil of Olives, and, from its Ufe with Sallady is vulgarly known by the Name of Sallad-Oily recommends itfelf not only for its Efficacy, but likewife on account of its being readily to be come at, when Accidents happen, there being no Town, or even Gentleman’s Houfe in the Country, where Sallad-OilXs not at hand $ whereas the Oil of Vipers is never to be had, but at Apothe - Sf cartes , [ 3*4 1 caries , and not one in an Hundred of them keep it by them. On the firft of June 1734, in the Prefence of a great Number of Perfons, the faid William Oliver was bit by an old black Viper , or Adder, brought by one of the Company, upon the Wrift and Joint of the Thumb of the Right Hand, fo that t)rops of Blood came out of the Wounds. He faid that he immedi- ately felt a violent Pain and {hooting from the Wounds, both to the Top of his Thumb and up his Arm, even before the Viper was loofen'd from his Hand 5 foon after he felt % Pain, refembling that of burning, trickle up his Arm; in a few Minutes his lyes began to look red and fiery, and to water much : in lefs than half an Hour, he perceived the Venom feize his Heart, with a pricking Pain, which was at- tended with Faintnefs andShortnefsof Breath, where- upon he fell into violent cold Sweats : In a few Mi* nutes after this, his Belly began to fwell,* with great Gripings, and Pains in his Back, which were attended with violent Vomitings and Purgings. He told me, that, during the Violence of thefe Symptoms, his Sight was gone twice for feveral Minutes at a Time, but that he could hear all the while. He faid, that, in his former Experiments Re had never deferred, making ufe of his Remedy longer than when he per- ceived the Effe&s of the Venom reaching his Heart;: but this Time, being willing to fatisfy the Company, thoroughly, and trading to the fpeedy Effe&s of the Oil l which had never failed him, when ufed in Time* he forbore to apply any thing, till he found himfelf exceeding ill, and quite giddy. About [ 3*5 1 About an Hour and Quarter after the firft of his be- ing bit, a Chafing-difh of glowing Charcoal was' brought in, and his Arm, the Cloaths being ftript off of it, was held over it as near, as he could bear it, while his Wife rubb'd in with her Hand the Sallad - 0/7, (which I had procured and kept myfelf in my Pocket, left they fhould privately add any Thing to it } I bought it by the Name of Lucca-Oil ) turning his Arm continually round, as if fhe \tfould have roaft- ed it over the Coals: He faid that the Pain foon abated, but the Swelling did not diminifh much $ moft violent Vomitings and Purgings foon enfued, and his Pulfe became fo low, and fo often interrupted, that it was thought proper by the Phyficians prefent, to give him the following Cordial Draughts, at about a quarter of an Hours Diftance between each. 1. ££, Aq. LaEf. cP*eon. comp. da . giij. Sp. Laven- dulse 5i. m. pro duobus Haujlibus. 2. ConfeEt. Raleigh . 3fs. Aq . TheriacaL gift, Sp. C. C. gu- x. m.f. Hauftus. 3. 5^. ConfeEt. Raleigh. Theriac. Andromach . da. 3fs. Sal. C. C. gr. v. Aq. TheriacaL gij. pro duobus Hauftibus. He faid he was not fenfible of any great Relief from thefe Cordials 5 but that a Glafs or two of Olive-Oil drank down, feemed to give him fome Eafe, Continuing in this dangerous Condition, he was put to Bed as foon, as one could be got ready for him, where his Arm was again bathed with his Remedy over a Pan of Charcoal fet by the Bed-fide : But con- tinuing to complain much of his Back and Belly, I S f 2 advifed [ 3*6 ] advifed his Wife to rub them likexvife with Sallad- Oil, heated in a Ladle over the Charcoal 5 which fhe did accordingly : whereupon he declared he found im- mediate Eafe, as tho^ by fome Charm ; and he had not above two or three Reachings to vomit and Stools afterwards, but made Water plentifully, which was not difcolour'd : Then he foon fell into a found Sleep, only was often interrupted by Perfons coming to fee and inquire after him, till near Twelve o'Clock, from which Time he dept continually to Five or Six next Morning,, when he awaked, and found himfelf very well : But in the Afternoon, on drinking fome Rum and ftrong Beer, fo as to be almoft fuddled, the Swelling returned, with much Pain, and cold Sweats., which abated foon, on bathing the Arm as before, and wrapping it up in. brown Paper foaked with Oil, Two Tidgeons were bit by the fame Viper imme- diately after the Man : They foon ficken'd, and feem'd giddy. Nothing being applied, the one died in about, an Hours Time, the other half an Hour after. The Flefh of both was turn'd quite, black, as if mortified 5 the Blood was coagulated, and looked black. On the 3d of June , the Man's Arm remain'd fwelled, looked red, marbled- with Spots of Yellow, but felt- loft 5 and he had the perfeft Ufe of it, and even of his Fingers, no Pain or Stiffn efs being left. He then caufed a fmall Spaniel ‘Dog to be bit on the Nofe by a frefh Viper : Some Oil was immediately applied hot, and rubbed well in, till all the Hair of his Nofe was thoroughly wet : The j Dog did not feem very uneafy ; his Nofe only fwelled a little 3 , he eat foon after; his Nofe was bathed once more that Evening; he was found very well next Morning; but, his. Nofe .was [ 3*7 ] was bathed again, to make fure of his Cure He re* maind perfe&ly well without any Symptoms enftr ing, and was alive and well a Year after. Another. Widgeon was like wife bit under the Wing at the fame Time as the 'Dog > but by a frefh Viper 3 the Oil was immediately applied hot, and rubbed well in, and the Feathers of the Wing were thoroughly wetted with it. This Bird did not feem at all diforderedr with the Venom, but eat foon after, and was found well the next Morning, without any remarkable In- flammation or Swelling about the Part. The hot Oil was rubbed in again for two or three Days, twice a Day, and the Bird continued well, fo that the Viper - catchers carried it with them out of Town in Tri- umph, having never before experienced the Efficacy of their Remedy on fo fmall an Animal 5 which, as it receives the fame Quantity of Venom by a Bite as a larger one doth, is more liable to die under, it 5 and they kept it alive above three Months, when they killed it and eat it. They faid that they had experienced their Remedy to take Effed on Cows :, Horfes> and 'Dogs , ten Hours after, being bit 3 but that for themfelves, who are frequently bitin the Fields, as they catch the Viper sy they always carry a Vial of Sallad-Oil along with them, that,, as foon as they perceive them- felves wounded, they without any Lofs of Time bathe the Part with it 3 and if it be the Heel, they wet the Stocking thoroughly with it 3- if the Finger, which happens ofteneft, they pour fome of it into that Finger of their Glove, which they immediately put on again, and thus never feel any farther Incon- venience from the Accident, not even fo much as from the. Sting of a common Bee . Perhaps it may be. [ 3*8] be found of Ufe for the Bite of Rattle- Snakes, and other venomous Animals j efpecially if we confider, that in the Fields a Man feldom or never receives more than one Bite at a Time, which doth not in- fed him with fo much Venom, as was inftilled into the Man's Blood, when in thefe voluntary Experi- ments he differ'd himfelf to be bitten twice together 5 and had likewife been bitten three times but about a Week or ten Days before 5 fome Remains of which Venom, it is highly reafonable to imagine, might ftill infed his Blood at the Time he repeated the Expe- riments, fo as to make a frelh Quantity of the Ve- nom operate with greater Violence upon his Body, than if he had been quite a frefh Man, never in- feded with the like Poifon before, or at lead at fo great an Interval of Time, that his Blood might have been intirely free from all Remains of fuch an acrid Infedion. From thefe Experiments is it not reafon- able to imagine, that the Oil by itfelf may be as efficacious againft the Sting of a Scorpion , as if Scorpions were infufed in it} I fhould not have forborn fo long imparting the Knowledge of fo ufeful a Remedy to the Publick, had not the poor People injoined every one prefent at the Experiments not to divulge, what their Re- medy was, till they fhould give me Leave to make it publick in thefe Papers, which they have now done. The Reafon of their keeping it a Secret, was the Hopes of obtaining an handfome Reward from generous and charitable People; but now hav- ing loft all Profped of any conliderable Recompenfe, they were unwilling that the Means of immediate Relief to thofe, who fhould have the Misfortune of beiag [ 3»9 J being bit by an Adder , fhoold any longer be with= held from them j and they are defirous, that this their Remedy againfl: the Bite of the Viper may be as pubiickly known as the famous Dampier's Powder againfl: the Bite of a Mad Dog, firft publiftied by Sir Hans Sloane , Bart, when Seer. R . $. in Numb. 237. of thefe TranfaElions, Anno 1698. * which afterwards, when he was Prefident of the Royal College of Phyficians London , by his Propofal, was introduced into the London Tharmacopoeidy under the Name of Bulvis Ant ily flits , Anno 172a, The Compofition of which is, Ajh-coloufd Ground Liver-wort and blackBepper : The Manner of giving it, not only to Men, but to Dogs and Cattle, being accurately fet down in the above-mentioned Num- ber 237. of thefe TranfaElions, in a Letter from Mr. George D ampler, dated Exmouth , Nov . iQj 1697 • to his Brother Capt. William cDampier , the famous Sailor, I muft refer fuch as have*Occafion to give it, to that Paper. Thus I hope, that certain Cures are difeovered for the only two Sorts of ve- nomous Bites of Animals, to which the happy Soil of Great Britain expofes its Inhabitants. I fhall only beg Leave to add a Propofal of my own, which I made in my Thef Inaugur, de In - grejju Humorum in Corpus Humanum , Ludg. Bat . 1724. That theUfe of the hot Bath, for Perfons bit * The Lichen cinereus terreftris is mentioned as being faid to be ex- ceedingly efficacious in curing Dogs bitten by Mad Dogs • in a Letter of Mr. Oldenburgtisy Seer. R. S. Lpnd. July 6 , 1672. See Verham's Colle&ion of Philofop . Letters between Mr. Ray and his Correjpon - dentSy p, no. printed at 'London, 1718. 8vo„ t 320 ] by a Mad Dog , or hot Fomentations, might be of greater Service than cold Applications: For a cold Bath {huts the Pores, as a warm one opens them •, therefore the Blood being allowed to be greatly in- flamed in this Cafe,, and D ampler % Powder being a very hot Medicine, it is reafonable to think, that when a Patient takes it, the fetting him up to the Chin in hot Water for fome Hours, would help the Opera- tion of the ‘Powders , by diluting the Blood, and re- laxing the Pores. VII. A brief Account by Mr. John Eatnes, F. R. S. of a Work entitled , The Me- thod of Fluxions and Infinite Series, with its Application to the Geometry of Curve Lines, by the Inventor Sir Ifaac Newton, Kt. &c. Tranflated from the Author's Latin Original not yet made publick. To which is fubjoind a perpetual Comment upon the whole , See. by John Colfon, M. A. and F. R. S. HIS Pofthumous Work of our late excellent Prefident, a Tranflation of which we have now received from the Hand of the learned. and ingenious Mr. Colfon , has been long and impatiently expe&ed by the curious in thefe Matters 5 and now it appears, I believe it will fully anfwer, if not exceed, thofe Ex- pe&ations, as well as confirm the Reputation the Au- thor I 321 ] thor has fo juftly acquired by his other Writings. For dt is wrote with the fame Genius and Acumen , it explains the Principles of his Method of Fluxions with great Clearnefs and Accuracy, and applies thofe Principles to very general , and fcientifical Spe- culations in the higher Geometry. And farther to explain this Work, and to fupply fuch Things, for the Ufe of common Readers, which the Author, ac- cording to his ufual Brevity, has often omitted j the Tranfiator has thought fit to give us a Comment on a good Part of the Work, and lias promifed. the reft at a proper Seafon. His Fitnefs for fuch an Under- taking is well known to the learned World, into which he was many Years ago introduced by a very good Judge, as a Perfon who was uconditioris Ana - lyfeos peritijjimus . This Text may very well be divided into three Parts: An Introduction, containing the Method of Infinite Series j The Method of Fluxions and Fluents $ and laftly, The Application of both to the moft eon- fiderable Problems of the higher Geometry. The Comment confifts of very valuable and curious An- notations, Illuftrations, and Supplements, in order to make the whole a compleat Inftitution for the Ufe of Learners. I fhall take a kind of comparative View of the Text and Comment together. The great Author, in what is called the Introdudi- vOn, teaches the Rudiments of his Method of Infinite Converging Series, which is preparatory to that of Fluxions. In this he fhews how all Compound Alge- braical Quantities may be refolvedinto Series of ilmple Terms, which will converge to thofe compound Quantities, or rather to their Roots 5 juft as in com- T t mon I 322 ] mon Decimal Arithmetick, any complicate Number whatever, rational or furd, may be profecuted and exhibited to what Degree of Accuracy we pleafe, by decimal Parts continued in infinitum . And this ge- neral Arithmetick is here applied to the finding of the Roots of all kinds of Algebraical Equations, whether pure or affe&ed. And this Dottrine is carried on ftill farther by Mr. Colfion in his Comment. He purfues the Author's Hint, that vulgar Arithmetick and Algebra, decimal Fra&ions and infinite Series, have the fame common. Foundation, and compofe together but one Uniform Science of Computation. For, as in our vulgar Arith- metick, when rightly explain'd, we exprefs and com- pute all Numbers by the Root Ten , and its fevcral Powers and their Reciprocals, together with a Set of certain known and finall Coefficients $ fo in this more univerfal Arithmetick of Infinite Series, we do the fame thing in effect, by means of any Root afiiimed at Pleafure, its Powers and their Reciprocals, dilpofed in a regular defcending Order, together with any Co- efficients, as it may happen. And when thefe Series duly converge, they will as truly exhibit by their Ag- gregate the Quantity required, as a Decimal Fra&ion infinitely continued will approximate to its proper §lusefitum. This gives him Occafion to expatiate large- ly upon, the Nature and Conftru&ion of Arithmetical Scales, particular and general 5 and to inquire into the Nature and Formation of Infinite Series, and their Circumftances of Convergence and Divergency. To explain which he ffiews, that in every Series there is always a Supplement to be underftood, when it is not exhibited. This Supplement fums up the Series, and makes I 3*3 3 makes it flop at a finite Number of Terms, in Series that either converge or diverge. Whence in di- verging Series it muft neceflarily be found and ad- mitted, orotherwife the Conclusion will not be true 5 but in converging Series, where it can feldom be known, it may fafely be omitted, becaufe it conti* nually diminifhes with the Terms of the Series, and finally becomes lefs than any aflignable Quantity. The Nature of infinite Series being thus difplay'd, he applies them to the Refolution of all kinds of Al- gebraical Equations. He explains in a very general Manner, the Author's famous Artifice, for finding the Forms of the Series for the Roots, and their initial Approximations, by means of a Parallelogram and Ruler, and (hews its Application in all Cafes. Then he invents many ways of Analyfis, by which the Roots are further profecuted, and may be produced to any Degree of Accuracy required. Alfo many other Speculations are added, to compleat the Do&rine of Series > particularly a very general and ufeful Theo- rem, for the Solution of all affe&ed Equations in Numbers. From the Refolution of Equations and the Doc- trine of Infinite Series, which finifhes the firft Part of this Work, Sir Ifaac Newton proceeds to lay down the Principles of his Method of Fluxions, which is the chief Defign of the prefent Treatife. This Me- thod he founds upon the abftrad or rational Mecha- nicks, by fuppofing ail Mathematical Quantities to be generated, as it were, by local Motion, and there- fore to have relative Velocities of Increafe orDecreafe, which Velocities he calls Fluxions . And the Quan- tities fo generated by a continual Flux he calls Flu- T t 2 ents [ 324 ] ents or flowing Quantities 5 the Relation of which Fluents is always exprefs'd by fome Algebraical Equa- tion, either given or required. If this Equation be given, and the Relation of the Fluxions is required, it conftitutes the dir eft Method of Fluxions 5 but when the contrary, 'tis the inverfe Method of Fluxions . Sir lfaacy in his firft Problem, which takes in the direft Method of Fluxions, (hews how to find the Relation of the Fluxions in a very general Manner, and by a great Variety of Solutions. This way of refolving the Problem is peculiar to this Work. He likewife extends it to Equations involving feveral Fluents, which accommodates it to thofe Cafes, wherer in any complex or irrational Quantities may be found, or Quantities that are geometrically irreducible. Then he demonftrates the Principles of his Method, or the Precepts of Solution, from the Nature of Moments or vanifhing Quantities, and from the ob- vious Properties of Equations, which involve indeter- minate Quantities.. The Commentator much inlarges upon this whole Do&rine ; he enters into theReafon and Ufe of this Multiplicity of Solutions, and fhews it is a neceffary Refultfrom the different Forms the fame given Equa- tion may acquire.- But efpecially he takes the Au- thor's Demonftration into ftrift Examination, endea- vours farther to illuftrate and enforce its Evidence, and to clear it from all the Objections that either have or may be urged againft it. He even contends, that tho* the Moments and vanifhing Quantities of the Author, could be proved to be impoflible, as has been fug- gefted by fome Mathematicians, yet even, then they would [ 3^5 3 would be fufficient for all the purpofes of Fluxions, and he produces Inftances of a like Nature from other parts of Mathematicks. And tho' the Author, Sir Ifaac Newton , in his prefeiit Treatife, does not direftly men- tion fecond Fluxions, or thofe of higher Orders ; yet the ingenious Commentator thinks proper to extend his Inquiries to thefe Orders of Fluxions, demonftrates their Theory, gives Rules and Examples for deriving their Equations, proves their relative Nature, and even exhibits them to View by Geometrical Figures. This laft he does chiefly in what he calls the Geometrical and Mechanical Elements of Fluxions 3 and he con- trives a very general Method, by means of Curve- lines and their Tangents, to make Fluxions and Flu- ents the Objeds of Senfe and ocular Infpe&ion 5 and thereby he illuftrates and verifies- the received Methods of deriving their Equations in all Cafes. In the Authors fecond Problem, or the Relation, of the Fluxions being given to determine the Rela- tion of the Fluents, which includes the inverfe Me- thod of Fluxions, he begins with a particular Solu- tion of it. He calls this Solution particular, becaufe it extends only to fuch Cafes, wherein the. given Fluxional Equation either has been, might have been, derived from fome previous finite Algebraical Equation. Then he fhews how we may return di- re&ly to this Equation. But this is feldom the Cafe of fuch Fluxional Equations, whofe Fluents or Roots are propofed to be found. For they have commonly Terms either redundant or deficient, by which they cannot be brought under, this particular Solution. Therefore to anfwer this Cafe alfo, he gives us a ge- neral Solution, in which he extracts the Roots of any propofed [ 3*6 1 yropofed Fluxional Equation, by feveral ingenious Methods of Analyfis. And here it is chiefly, that he calls his Method of Infinite Series to his Ailiftance 5 for the Fluent, or Root, will here always be exhi- bited by a Series. And to find the Fluent in finite Terms, when it can be done, requires particular Ex- pedients, as we {hall fee afterwards. Mr. Colfon in his Comment upon this Part of the Work is very full and explicit. He explains and applies the Author's particular Solution $ but is much more copious in explaining the Examples, and clear- ing up the Difficulties and Anomalies of the general Solution. This is chiefly perform'd by introducing feveral new and Ample Methods of Analyfis, or Pro- cefies of Refolution 5 and by applying the Author's Artifice of the Ruler and Parallelogram mention'd before, to thefe Fluxional Equations : By which means not only the Forms of the Series are determin'd, and their initial Approximations, as has been obferv'd above i but likewife all the Series may be found, that can be derived from the fame Fluxional Equation. The Commentator concludes by giving us a very ge- neral Method for refolving all Equations, whether Algebraical or Fluxional } which Method requires no foreign Affiftance, oj: no fubfidiary Operations, which all other Methods do. It is founded upon the Ufe and Admiffion of the higher Orders of Fluxions, and is exemplify 'd by the Solution of feveral ufeful Pro- blems. Here the Comment leaves us, but we will go on with our Author. Having thus taught us the Method of Fluxions, both dired and inverfe, he proceeds to apply this Me- thod to fome very curious and general Problems, chiefly C 1*7 3 chiefly in the Geometry of Curve-lines. As firft, he determines the maxima and minima of Quantities in all Cafes, and propofes (ome elegant Problems to il- luftrate this Do&rine. Then he teaches us to draw Tangents to Curves, whether Geometrical or Media- nical, and that after a great Variety of Ways, or how- ever the Nature of the Curve may be defined. Here likewife he propofes fome Queftions, to exercife and improve the Learner : Then is very particular upon finding the Quantity of Curvature, at any Point of a given Curve, whether Geometrical or Mechanical, or in determining the Centre and the Radius of Curvature : To which feveral other curious Specula- tions are fub join'd of a like Nature. Here he com- municates a very elegant and intirely new Problem, for determining die Quality of the Curvature, at any Point of a given Curve ; or how the Curvature pro- ceeds in refped of its greater or lefs Inequability. Afterwards he goes on to the Quadrature of Curves,, which chiefly gives occafion to apply the inverfe Me- thod of Fluxions. And firft he (hews how, by the direft Method, to find as many Curves as you pleafe, (or to determine their Equations) the Areas of which; fhall be capable of an exad Quadrature. Then he (hews how to find as many Curves as you pleafe, which, tho' not capable of a juft Quadrature, yet their Areas may be compared to thofe of the Conic Se&ions, or of fuch other Curves as (hall be aflignkh. Laftly, He (hews how to determine in general the Area of any Curve that fhall be propofed, chiefly by the Method of Infinite Series 5 where many curious and ufeful Speculations are occafionally introduced, and inferted As how to afcertain the Limits of aa Area, [ 328 ] Area, when thus found analytically ; how commodl- oufly to fquare the Circle, the Ellipfis, or Hyperbola, and how to apply the Quadrature of this laft to the computing a Canon of Logarithms; the Construc- tion of Tables for the ready finding of Quadratures, or the Comparifon of Areas, and how to apply them to the folving of other like Problems ; the forming of Conftructions, and demonftrating Theorems by Fluxions ; the approximating to Areas mechanically, and iuch-like. From finding of Areas he proceeds to the ReElifi - cation of Curves j and firft he Shews how to find as many Curves as you pleafe, whofe Curve-lines are capable of an exa£t Re&ification. Then he teaches us to find as many Curves as we pleafe, whofe Curve- lines, thoJ not capable of a juft Rectification, yet may be compared with the Lengths of any Curve-lines aflign'd, or with the Areas of any Curve, when re- duced to the Order of Lines. Laftly, He determines the Lengths ot any Curve in general, and gives feve- ral proper Examples of it. All which elegant Specu- lations are managed with admirable Skill, great Sub- *tilty, and fine Contrivance. vin. C 329 ] VIII- Of an Inguinal Rupture, with a Pin in the Appendix Coed, incrujted with Stone ; and fame Obfervations on Wounds in the Guts ; by Claudius Amy and, Efq * Serjeant Surgeon to His Majesty, andF.R.S. '/~\Ctober S, 1737. Hanvil Anderfon , a Boy, xi ^ Years of Age, was admitted into St. George’s Ho- spital near Hyde-Dark Corner, for the Cure of a Hernia Scrotalis , which he had had from his In- fancy, and a Fiftula between the Scrotum and Thigh terminating into it, which for a Month laft paft had difcharged a great Quantity of an unkindly fort of Matter. The Rupture was final 1, and not trouble- fome, and Part of it could be replaced, but as it ap- peared that the Sinuous Ulcer fprung from that Part that could not $ fo "twas evident that the Cure of the Fiftula depended upon the Cure of the Hernia, which latter could be obtained by no other Operation than that for the Bubonocele , which was agreed to, and performed the 6th Day of 'December following. This Operation proved the moft complicated and perplexing I ever met with, many unfufpe&ed Oddi- ties and Events concurring to make it as intricate as it proved laborious and difficult. This Tumour, principally compofed of the Omen- tum, was about the Bignefs of a fmall Pippin ; In it was found the Appendix Coed perforated by a Pin incrufted with Stone towards the Head, the Point of which having perforated that Gut, gave way U u to [ 33° 3 to aDifcharge of Faeces through the fiftulous Open- ing therein, as the Portion of the Pin obturating the Aperture in it fhifted its Situation. The Abfcefs formed in the Hernial Bag occafionally, and the Sup- puration for two Months laft pad from this Place out- wardly, had knit and confounded, and, as it were, inbodied together the Gut and Omentum with the Hernial Bag, and thefe with the Spermatick Veffels and theTefticule, fo that it was as difficult to diftin- guiffi them from each other, as it was to feparate them without wounding them $ this Pin, whofe Point was fixed in the Omentum, continually fhifting its Situation, and occafioning a Difcharge of Fasces. The Pin frequently lying in the way of the Knife, and ftarting out of the wounded Gut, as a Shot out of a Gun, the Inundation of Fasces upon this Occa- fion from a Gut we could not well diftinguifh, were fo many Difficulties in the way : But the greateft yet was, what to do with the Gut, which all this while was unknown, and of which we could not come to the Knowledge, till the Operation was over 5 for this Appendix Coed, which was the only Gut found in the Rupture, was fo contracted, carnous, duplicated, and changed in its Figure and Subftance, that it was im- poffible to determine what kind of Gut it was, or to find out that it was only this Appendix elongated,, and in Difguife. We apprehended none of thefe Difficulties, when we undertook this Operation, in which we proceeded as ufual : The Omentum lying uppermoft in the Her- nial Bag was diffe&ed from the Parts it was knit to, and particularly the Gut it was imbodied with, and afterwards cut off clofe to the Abdominal Mufcles without C n> ] without any previous Ligature, the V eflels in it being fmall, and the Subftance of it more like a Sweet- bread than the Caul. , Much Time was fpent in this Diffedion; we were {heightened for Room, and greatly difturbed by the Difcharge of the Faeces coming out of the Gut, upon every Motion the Pin lodged in it and the Omentum fuffered, upon the Separation of thefe from each other. The Gut forming a double Tube, like a double- jointed Syphon, continuing in the Curve as it faffed over the Tefticule and Spermaticks, was feparated one part from the other and from the adjacent Parts, as far as the Aperture in the Abdominal Mufcles, where the unperforated End of it was feparated therefrom, and thence ftretched out and unfolded, which brought in View the Aperture made in it by the Pin hitherto con- cealed, through which that Part of it, which was in- crufted with Chalk, had juft made its way out upon an occafional Preffure, as a Cork out of a Bottle. It was the Opinion of the Phyficians and Surgeons pre- fent, to amputate this Gut : To which End a circular Ligature was made about the found Part of it, two Inches above the Aperture, and this being cut off an Inch below the Ligature, was replaced in the Abdo- men, in fuch a Manner that an artificial Anus might be made there, if the Patient's Cafe fhould require it. Afterwards fo much of the Hernial Bag as had been detached from the Skin, the Spermaticks, &c. was cut off, which, as they appeared in a found State, were preferved in Situ. The Fiftulous Opening adjoining to the Thigh, and anfwering to the Aperture in the Gut, was opened; feme Angles of Skin in the Way removed ; The Aperture in the Mufcles, which had U u-2 been [ 33* ] been inlarged by Incifion, was (lopped up with a Tent 5 and the reft of the Dreflingsand the Situation of the Patient ordered fo, as to remove from the Wound all fuch Preffure from within as might difturb the Cure. "Tis eafy to conceive that this Operation was as painful to the Patient as laborious to me : It was a continued Diftection, attended with Danger on Parts not well diftinguifhed : It lafted near half an Hour, and the Patient bore it with great Courage, During it the Patient vomited largely, and had feveral Stools, but was foon compofed by half an Ounce of. Diacp^ dium, and Emollient Embrocations and Fomentations, frequently applied warm on. the Belly: He was blooded, and an. Emollient Carminative oily Clyfter was ordered to be applied in the Evening; but as he was eafy, and the Belly notTenfe, that was omitted. He was confined to a very fparing Diet, and his Body kept open by Clyfters, injected every 2d Day, when Stools were wanted, to prevent (training. When dreffed upon the 4th Day after the Operation, every thing appeared well, and we had good Reafon to hope for a Cure, efpecially as the Difcharge by the Anus was Natural. The Tent put into the Abdominal Aperture was not removed till the 8th. Upon the 10th the Ligature round the Appendix Coeci, where it had been amputated, dropt off, and no Faeces followed it and as it was then plain they had taken the natural Courfe, from that Time the Wound was treated like an ordinary one, faving it was obferved to keep a ftrong and conftant Preffure over the Abdominal Aper^ ture, as well to fence againft the Intrufion of the Vif- cera into the Wound, as by a ftrong Incarnation and Cicatrix, [ m 1 Cicatrix, effedually to fecure the Patient againft a Rupture. During the Time of the Cure he was con- fined to his Bed, always kept to (paring Diet, and or- dered never to go to Stool but in. a Bed-pan ; by thefe means the Wound was completely healed up in lels than a Month, and the Patient foon after, difcharged with a Trufs, which he was ordered to wear fome Time, to confirm the Cure. That the Appendix Coed fhould be the only Gut found in this Rupture, is a Cafe fingular in Pradice : This was full of Excrements, and occafionally could be diftended with an additional Quantity, which up- on Preffure was returned into the Colon, with that kind of Noife which Guts replaced generally give. This had occafioned a Diminution of the Tumour when eompreffed,. before the Operation was per- formed;, as the Patient was lying backwards with his Head downwards, and an Increafe of it as he flood ered, when the Faeces from the Colon could get into it again. The Patient does not remember, when he fw al- lowed the Pin which had perforated the Gut within the Rupture. But as this Rupture was from his In- fancy, fixed and unreducible, fo it is likely the Pirn had then made its way into the Appendix Coeci pro- lapfed; and that an Inflammation enfuing thereon, had occafioned an Adhefion, whereby the Increafe of the Tumour had been checked, and the Redudion of the Parts prolap fed thereby, rendered impradicable. The Surgeons who conftantly drefied the Patient before the Operation, did obferve then, as they have fince, that the Humour difcharged formerly at the Eiftula, had frequently the Appearance, and, as they thought, [ 334 1 thought, the Smell of Excrements, fo that there is no Doubt that the Caufe of it was the Wound made in the Gut, by the Pin giving way occafionally to fuch a Difcharge. The Patient alfo perfe&ly remembers, that the Impoftumation or Gathering preceding the fiftulous Difcharge was attended with very little Pain, or much lefs than generally attends Suppuration, Which fhews that the Extravafation of the Excre- ments from the Gut into the Hernial Bag, and the burfting of this Bag, were the Caufe of the fiftulous Difcharge, and of the continuance of it outwardly. As to the Pin found in the Rupture at the Time of the Operation, it is obfervable, that two Thirds of it, incrufted with a chalky Matter, were confined and concealed within the Gut 5 the other Third next the Point, had made its way through it, the Point of which was fo lodged in the Omentum wherein it was fixed, as to leave a free Pafiage for the Excrement from the perforated Gut outwardly, whenever the Perforation in the Gut, upon fhifting the Pofi- tion of the inclofed Pin, could open, and afford a Pafiage for the Difcharge of the Faeces this way, which was as oft as this conical or pyramidal Pin. did alter its Place, or did not exa&ly obturate the Aperture in the Appendix Coeci, it exa&ly fitted. I have already obferved, that the Aperture made in the Gut by the Pin, lay concealed, the Point being lodged in the Omentum, lying parallel with the Gut, which was here duplicated, where it was fo fecured, that it feemcd almoft iihpoflible it could ever make its way out of this Place, and its other Confinement in the Gut, as the Aperture was callous, and fo refifting that it was with fome Vio- lence [ 335 3 fence it was forced out of its Confinement through an Aperture fitted for the Point only and fo ftreight, that the Report upon its coming out was like that of a Cork out of a Bottle * for though it appeared the Opening had occafionally been inlarged, as the incrufted Part of the Pin was preffed forward into it, yet it is plain Nature's Attempts to get rid of it had been fruitlefs, and might poffibly have been fo during all the Patient's Life. Sir Hans Sloane has furnifhed the Curious with Xnftances of Bodies incrufted in the Guts with Stone, and of fome making their way out, when there was little Probability of it. Daily Experience fhews how far Nature will ftruggle to free herfelf, fo that it is always moft eligible to truft them to her Care: This: may appear from the Difficulties that have attended: the Cure of this Cafe, which at laft did not prove fo fuccefsful as it was firft hoped for ; for the Pa- tient having been remifs in the wearing of his Trufs, upon fome Effort the Guts found a way into the Inguen again, fix Months after the healing of the Wound. This Cafe alfo fhews, that the beft Ope- ration, and the utmoft Care, is no Security againft the Relapfe of a Rupture. This is the jd or 4th Inftance I have met with, of the Infufficiency of this Operation to effeduate a Cure of Ruptures 5 and yet it is plain, this is by far more likely to prove effec- tual, than the Cauftick or any other Method cried up for the Cure of this Evil. In a growing Age, a good Spring Trufs is an effedual Remedy ? and in an Adult, this fhould be the ultimate one, though it is no more than a Palliative Cure. N,B; r 33^ i N. B- The Omentum and the Gut amputated, with the Pin perforating it, are in the Repofitory of the Royal Society. This Obfervation puts me in Mind of two I made during the late War in Flanders and of two more lately in London. Observation I. Upon opening the Body of a Soldier who had la- boured many Years with an Inguinal and Scrotal Rup- ture, I found in a Segment of the Ilion, an Appendix like a Coecum, about fix Inches long, arifing from that Gut, and nearly of the fame Diameter with the Gut itfelf, the Coats whereof were fomewhat thinner than thofe of the Ilion this Coecum did arife from, wdiofe Membranes and Dimenfions were Natural. This Elongation of a Segment of the Ilion appeared as if it had been lodged in the Rupture Bag it lay near to, and into which it had been ftretched along the Vagina of the Spermatick Vefiels down to the Tefticule, according to the Expanfion of the Rupture Bag, which was of the fame Dimenfion : This Pro- duction of the Ilion, or Appendix Ilii , was full of Faeces, fomewhat narrower at its Rife or Opening into the Ilion than elfewhere, but nearly refembling it, and as found as that Gut it fprung from. Observation II. A Soldier having been fhot through the Belly, the Ball was cut out upon the pofterior part of the Os Ilium. C 317 ] Ilium. Through both Wounds the Fasces' were chiefly difcharged for feveral Months after, and at Dreflings a great Number of flat Worms, dead or alive, were found upon the Plaifter. The Fasces having by degrees taken their Courfe through the Anus, in five or fix Months after, the two Wounds being healed up, the Patient returned to his Duty as a Soldier, and foon after was made Corporal, and then Serjeant. Eight Years after this, I had him again under my Care at the Hofpital, where he was brought with the Head of the Os Humeri , together with that of the Acromion and Clavicule, in the Articulation with the Scapula , fra&ured by a Cannon-fhot, which thereby was laid all open. The Limb was immediately cut off in the Articulation with the Scapula , having firft premifed a Ligature about the Flelh furrounding the Veffels, by thrufting clofe to the Bone a Pack-Needle armed with a ftrong Packthread, there being no room for the Tourniquet * : He loft very little more Blood in the Operation, than if a Tourniquet had been ap- plied 5 but the great Difcharge of Matter funk him, and he died the 8th Day after. The Death ot this Patient gave me an Opportunity of examining how the former Wound in the Gut had been cured. I had thought the Wound had been in the Ilium, from the Thinnefsof the Fasces difcharged through that Wound 5 but, upon DiiTettion, I found * Mr. Le Dran , in his Chirurgical Obfervations, Vol. II. Obferv. 43. 129* 1731. has defcribed the Manner of performing the Ampu- tation of the Humerus in the Articulation with the Scapula, to which the Reader is referred. Xx it 1 338 ] it had been in the Colon in the broadefl: Part of it. This was very much contracted, and made narrow in that Part of it that had been fhot through, where it ap- peared putfed up,, and infeparably knit to the Ilium Bone. However, the Patient never had complained of any Inconveniency therefrom, though the Narrow- nefs of the Gut in this Place was Inch, as feemed to make the Defcent of the Faeces difficult.. Observation III. On the 19th of January 1 729, I attended Mifs aged 14, on account of a fuppurated Tumour on the. Navel, whofe Situation was under the Mufculi Relit.. This Patient had had, what is truely called, a Starting- at the Navel in her Infancy * and of late had com- plained, at Times, of a Swelling there,, and alfo of Colicks, Gripes, or Vomitings, that ufed to go off, particularly as that Swelling difappeared. As thefe ^grew more troublefome, fhe lately had taken a Vomit, from which Time fhe had. been greatly cauftive, and her Reachings, Vomitings, and Colicks, had proved more conftant, together with an increaSng Tenfion and Pain in the Fore-part of the Belly, and aTendernefs at the Navel, as Matter was gathering there. Some Days before I was called in, Dr. Campbell had employed the propereft Remedies to remove thefe Complaints. Upon a Confutation,, we agreed to< difeharge by Incifion the Matter collected at the Na- vel, being about a Spoonful of undigefted Fluid, that had made its way through the Apmeurofis of the Ab- dominal Mufcles adjoining to the Navel Cicatrix: Notwithftanding which, the Tenfion of the Belly,. C *39 3 theCauftivenefs, the Reachings, and Vomitings, rather increafing, as in the Miferere Meiy and having thence aReafonto apprehend a Strangulation and Suppuration of fome of the Vijbera in the Neighbourhood of the Navel, Dr. Hollings being called in, it was agreed to inlarge the Aperture made by the fore-mentioned Matter in the Line a Albay with a View and Intent to know the State the Parts were in, to reduce what we found there, or at lead to procure a more free Dif- charge to the Matter colleded under the Aponeutofis of the Mufcles : For a Fortnight and more, every Thing was done that could internally or externally eafe the Difcharge, and open the Paflage for the Faeces downwards, but all in vain. The Patient was a whole Fortnight without a Stool, all the Symptoms daily increafing, though towards the latter End (he vomited rather more feldom : Yet, as fhe was (till taking in, fb the Dimenfions of her Belly increafed in Proportion, and the more for that the Air confined and rarefied in the Faeces pent in, added daily to the Tenfion 3 which at laft had ftretched the Skin to the utmoft. There was alfo a Supprellion of Urine, the Fundus of the Bladder being ftretched towards the Navel, at the fame Time that the Neck of it was comprefled by the Faeces bearing down in the Pelvis, and a Tumour fprung up about the Anus, as if they had been feeking a Paflage that way. It was propofed to fcoop them out, bpt the Redum was found empty, and the Obftrudion as far beyond the Reach of any Chirurgical Operation, as it had proved againft all the Means hitherto em- ployed. The Patient was now reduced to the loweft Ebb. The Dejedions were Excremcntitious, her Pulfe de- X x 2 prefled, [ 340 3 prefled, and extremely weak 5 file had Rigors, clammy Sweats, and all the Symptoms that denote an approach- ing Death, from a Mortification in the Guts, when of a fudden the Faxes burfted the Gut, and forcing their way through the Incifton at the Navel, a Quantity equal to two or three Quarts, intermixed with various kinds of Fruits and Seeds, which fhe had been taking during her Illnefs, flowed out like a Torrent, with a furprizing roaring Noife, which gave her immediate Relief. The Difcharge continued very great all that Day, but the ^perture in the Hernial Bag was not anfwerable to that in the Gut, fo that the Difcharge there was at Times checked by Subftances obturating it; this Aperture therefore was inlarged by Incifion, and thereby the Patient releafed from the Violence of the Vomiting and Hickup. From this Time we began to entertain fome Hopes of a Cure 5 for though the Patient was ex- tremely reduced, and the Difcharge continued exceed- ingly great during feveral Days, with a Singultus and Vomitings; yet fhe was refreflhed with Sleep, and was able to retain fome Nourishment. The Tenfion of the Belly fubfifted, though in a leffer degree, until the Faeces had made their way downwards, and fo did the Vomitings at Times, fo long as the Inflammation con- tinued. The Diet was fuch as the Cafe required ;■ Clyfters were frequently applied, as well as Fomenta- tions, and every Thing elfe that could determine o$ invite the Difcharge through the Anus, and reftore the diftended Guts to their Tone ; but from the Time the Fasces burfted the Gut, it was 12 Days before any took, the natural Courfe y and then we were again brought to the Brink of Ruin, for they then poured down to. fall for a Day or two, that the Patient was like to have & ink [ 34* 3 funk under them: However, this feverc Evacuation was timely conquered by Abforbents and Diluents : It took off the remaining Tenfion of the Belly, and all Vomitings 5 and as from this Time the Fxces had a free Difcharge the natural way, and the Difcharge through the Wound decreafed in proportion, fo the Wound in the Gut, and the external Wound in the Integuments were healed up in about three W eeks, in fuch Man- ner that the Patient has ever fince enjoyed a moft per- fect Health. Observation IV. It happened that I was not a meer Stranger to the principal Circumftances of this Gafe, as in the Year 1716 I had attended fuch another with the late Mr. Lafage, Surgeon, viz. Mifs a Girl about four Years of Age, in whom the fame Caufe had produced the like E fleets ; for upon a Suppuration of the Omen- tum ftrangulated in the Navel of this Patient, the Fxces detained in the neighbouring Gut had in like Manner forced their way through the Navel : The Accident previous tothe burfting, and fubfequent up- on it, having been nearly the fame as in the former Obfervation ; only the Cure proved fomewhat more tedious, for the Wound was kept open by Currants- feeds frequently working their way out at the Navel: for about 1 2 Months after ; when it was made com- plete : fo that the Hardlhips the Patient has undergone fince in Child-bearing, and feveral hazardous Labours, have not been able to difturb it. Hence it appears, that the Parts inflamed and in Con- tact have been coalefced and knit together, fo as ta prevent C 342 3 prevent anyExtravafation from the wounded or burfted Gut into the Cavity of the Abdomen. That the Cure in the two laft Cafes has been owing to a free Difcharge of the Faxes through the Wound, and confequently that when in a Gut-Rupture the Part prolapfed cannot be reduced, a Cure may be hoped for by making fuch an Opening in the Guts, before they are intirely fphacelatcd, as may procure a free Dif- charge to the Faxes pent in, and thereby fecure the Pa- tient's Life. That if this happens to the Colon or Caecum, the Tube of it will fo far be preferved as to open a free Difcharge for the Faeces the natural way; and if that cannot be obtained in a Wound of the fmall Gut, yet the Difcharge may be fecured by making the Wound an artificial Anus. That the readieft way to obtain a Cure of a wound- ed or burfted Gut, is to keep it in Contact with the outward Wound, and the Patient in a very low Diet. That the Deligation of the Veflels of the Omentum previous to the Amputation of it, being liable to many Exceptions, it is more eligible to forbear it, faving When the Veflels are large ; for when reduced loofe and floating, it is lefs liable to the Inflammations and Suppurations that attend the Separation of the Ligature. IX. Her- C 343 3 IX. Hermanni Boerhaave, A.L.M . Philofoph. & Med. ibique ufquead 8m Operi- bus inutilibus, fumptibufque immodicis implicant illos, qui diligent^ in labore plus, quam Sciential poflident, unde exofam reddunt artium pulcherrimam. Pro- C 355 1 Proficiant alii laboribtis 6c fumptibus meis, & utalimt^ ut propriis parcant. IV. Poftquam ex propria experientia certus efiem, quod ex plumbo Mereurium extrahere Sales refofcitantes ap- pellati modo defcripto non poffent 5 Quid ipfum ar- gentum vivum producere hoc in cafo potuerit, tentarc volui 5 prxfertim cum Chemiftx hoc fluidum vocent Aquam metallorum, in qua, aiunt, ilia moriuntur* renafcuntur, 6c pulchriora, quam antea fuerant, eva- dunt. Fundebam igitur in cochleari ferreo mundo unciam plumbi; calefaciebam eodem tempore in cochleari fimili uncias tres argenti vivi puri. AfFun- debam deinde Mereurium calefadum plumbo lique- fadto i commixta font illico fimul, 6c maflam confti- tuerunt folidam coloris Argentei. Conterebam, 6c poftquam earn mollem iterum reddidifiem, phialx in- ditam parvx calefaciebam, 6c obturata dein fobere phiala, ponebam in furno digeftionis ad calorem Tem- per xquabilem 84 gradium ab 11 Februarii 1732. uf- que ad 10 Januarii 17 3^: Amalgama fuit molle, pi- ftillo butyri inftar cedens, nigrefeens illico, cum agf* taretur, uncias quatuor pendens. Eodem die in re- torta vitrea munda igni arenas exponebam, 6c tandem igni foppreflionis adeo vehementi, ut per 4 horas arena tota candefieret, tranfiverunt in Excipulum Mercurii uneix dux cum 6 Drachmas 6c femiffi. Ruber, quem in Retortx fundo et collo inter diftillandum Mercu- rius formavit, pulvis, et quicquid vivi argenti pauxil- \ lum collo adxfit, quique nonnulli plumbi omnind puri globuli pulveris fpecie adfuerunt, granary 2 una pependerunt. Denique in fundo fuit folida plumbi Mafia unam, granis y dedu&is, unciam pendens, qux pondus fopplebant Globulorum iftorum parvulorum plumbi fob pulveris fpecie jam jam memoratorum j Z z 2 unde [ 35 in quorum medio Sol etiam confiftit : " lege in Nov. Lumin. Chem. tradat. ix. VI. Mercurii uncias 10, poftquam probe calefecerim, affundebam 2 unciis optimi in cochleari ferreo mundo liquefadi Stanni. Triturabam totum in Amalgama uniforme, quod valde calidum & probe ficcum inde- bam lagenae vitreae mundae & calidae, quam poftea bene obturabam 5 capfula lignea includebam, quam caudici tundenti [pi’lae] molcndinae fufloniae contfnuo agitataeaf- figebam, cui annexa motum a 30 mo* Novembris 173 2. ufquead Januarii 1735'. nodu diuque paflaeft fere perpetuum. Auferebam tunc lagenam, quae integra fuit, in cujus fundo repertus eft Mercurius fluens* & poft quietem aliquorum dierum, in fuperna parte in- ventum eft amalgama duriufculum 5 totum pependit omnino uncias 12. Diftillabam in Retorta vitrea lu- tata uncias 11. & 7 drachmas hujus amalgamate, & hoc igne nudo finem verfus uique audo, dum retortam penitus candefaceret per 2 horas. Non exivit major, quam quae immifla fuit, copia Mercurii, qui fluidif- fimus erat, & remanfit in fundo mafla ftannea vitro affixa cum pauxillo materiei luteae, quae erat quafi fo- liata. Mafla haec fufibilis inftar ftanni erat ad ignem mediocrem; & tunc fuperficies aeri expofita pinge- batur diverfis coloribus. Mafla ftannea pependit unci- am unam cum 6 \ drachmis, & affuit adhuc parva mate- [ 358 ] riei iuteae jam memoratas quantitas. Certain eft itaque, quod, ope motus per tarn longum tempus continual Mercurius non pollit Stannum diffblvere eo mo- do, quo pollit extrahi Mercurius per diftillationem linn mo igne faclam. Scholium. Res egregia, quam in hifce tribus Operationibus ultimis obfervavi, eft, quod Mercurius diftillando fepa- ratus a plumbo vel a ftanno eflet quam liquidiflimus, & quod agitatus in poculo fi&ili vitreato albido mundo, fuperficiem poculi brevi temporis Ipatio inquinaret, ibique relinqueret maculam nigram admodum adhae- rentem. Simul ac maculam hanc charta pura & probe ficca detergendo purgaveram, formata eft alia, &illico pluribus iteratis vicibus alias. Hoc me induxit, ut co- gitarem, id efle attribuendum parti [metalli pingui, quae inter diftillandum tranfivit cum Mercurio, et ab ejus fuperficie, cui adhaefit, tunc feparata fuit. Ut de hoc fa&o certiorem me redderem, Mercurium hunc fupra chartam albam puriffimam ficcillimamque ex- pand!, cui reliquit ille tramitem levem nigrum, qua- cunque pertranfivit ; fuperficies alioquin hujus Mer- curii Temper fuit te&a pellicula tenuilhma, quae pin- guedini fimilis videbatun Ergo, quamvis per Mer- curii diftillationes faepe iteratas potuerint cum Mer- curio uniri aliorum Metallorum particular quad am, non inde fequetur, quod ullar particular in Mercu- rium verfar fuerint. Idem Experimentum aggrefliis fum, cum pliimbo quod per idem tempus eodem motu agitatum fuit : quando autem volui a pila molendinar amovere, per infortunium fra&a eft lagena 5 & perdita materia, non potui ad finem perducere operationem. Experimenta hare natural Argenti vivi afferre pot funt plus luminis. Plura alia inftitui de Mercurio & Me- [ 359 1 Metallis, omnino ab hiice diverfa, qux mihi labore mult 6 majore conftiterunt s ea, cum otium fuerit, com- municaturus fum. X. E g l i p s i s L u n m partialis die fe cun do Odtobrisj Styl. nov. Anno Mdccxxxv. Vitimbergae Saxonum obfervata a Jo, Frider. Weidlero, R. S. S. Hor. Min. Sec. Temp-europ. ante Mer. *D. II. OElob. 0 44 30 Penumbra prope Schikardum. 5P o Initium eclipfis. r 1 30 Umbra appellit ad Schikardum. Margo illius afper eft et inxqualis. Paulo poft lunam nubes occultant. 1 if o Tycho totus obumbratur. Mox ite- rum lunam nubes fubeunt. 1 if 30 Portio lunx obfcurata nigrefcit, nec maculx per umbram telefcopio ix pedum difcerni poftunt. I 30 o Umbra appellit ad Grimaldum. Jam trans umbram maculx confpicium tur. 1 44 30 Umbra totumtegit Grimaldum.- Jam rubet portio obumbrata, Mox luna iterum nubibus conditur. 2 If 30 UmbrarecedensattingitLansbergium,. Adhuc e]us margo afperitatem ha^ bet. 2: 44 o Umbra appellit ad Gaflendum. 3 11 o Emergere incipit Tycho. 3 36 o Finis fupra Snellium, fereno circa to nam coelo. C 36° 1 Addend, to the Note at p. 319. I thought it proper to add the following Paffage taken out of the Journal-Book of the Royal Society , fuppofing it to be what Mr. Olden - burgh hints at in his Letter. cc Nov. 1 6, 1671. [Sir Robert Moray ] exhibited a certain Plant, 4J4 . Zn/Ar ^4 (Z/y/vZ/rr/- Numb. 444. PHILOSOPHICAL TRANSACTIONS For the Months of November and ‘December, 1736. The CONTENTS. I. An Account of a Shock of an Earthquake felt in Suflex on the 2 jth of O&ober, Anno 1734. com- municated to the Royal Society by his Grace Charles Duke of Richmond and Lenox, &c. F. R. S. And of another in Northamptonfhire, in October, Anno 1731. by the Rev. Mr. Wafle. II. Hermanni Boerhaave, A. L. M. Bhilofoph. & Med. Doll. Medicine in Univerjitate Lei- denfi Rrofejf. Colleg. Chirurgic. Braf Reg. Soc. Lond. necnon Reg. Scient. Acad. Parifienf. Socii, de Mercurio Experimenta. III. A Letter to the Rev. John Theoph. Defagu- liers, LL. D. F. R. S. from Mr. Martin Trie- wald, F.R.S. Captain of Mechanicks, and Mili- tary Architect to his Swedifh Majesty, concern- ing an Improvement of the Diving Bell. IV. A Letter from Samuel Dale, M. L. to Sir Hans Sloane, Bart. B ref dent of the Royal Society, con- taining the Defcriptions of the Moofe-Deer of New-England, and a fort of Stag in Virginia; with fome Remarks relating to Mr. Ray’r De- feription of the flying Squirrel of America. V. An Attempt to explain the Phenomenon of the horizontal Moon appearing bigger , than when ele- vated The CONTENTS. vated many "Degrees above the Horizon : Sup - ported by an Experiment. By the Rev. J. T. De- faguliers, LL. D. F. R. S. Communicated Jan. 3°’ J734"f* VI. An Explication of the Experiment made in May 173 7, as a farther Confirmation of what was fatd in a Paper given in January 30, 1734-7. to account for the Appearance of the horizontal Moon feeming larger than when higher . By the Same . VII. A Letter from Jofeph Atwell, D. D. F.R.S. and Principal of Exeter College, Oxford, to Dr. Mortimer, R. S. Seer, containing fome Obferva - tions, on a Man and Woman bit by Vipers. VIII. An Account of fome Eleftrical Experiments in - tended to be communicated to the Royal Society by Mr. Stephen Gray, F. R. S. taken from his Mouth by Cromwell Mortimer, M.D. R. S. Seer, on Feb. 14, 1737-6. being the Day before he died . IX. Some Thoughts concerning the Sun and Moon, when near the Horizon appearing larger , than when nearer the Zenith ; being Part of a Letter from James Logan, Efq 3 to Sir Hans Sloane, Bart . Prefident of the Royal Society, &c. Printed for T. Woodward, at the Half Moon ^ between the Two Temple-Gates in Fleetfireet 5 and C. Davis, the Corner of Rater-nofter-row> next Warwick-lane 5 Printers to the Royae Society* M.dcc.xxxviii. C 3*1 3 I. An Account of a Shock of an Earth- quake felt in Suilex on the ijth of October, Anno 1 734. communicated to the Royal So- ciety by his Grace Charles Duke of Richmond and Lenox, &c. F. R. S. uind of another in Northamptonlhire, in O&ober, Anno 1731, by the Revd- Mr. Waffe. 1. A Letter from his Grace the Duke of Richmond to Sir Hans Sloane, Bart. R ref dent of the Royal Society. London, Thurfday 061. 31, 1734. SIR, BEing juft arrived from Su/fex, where I heard a very extraordinary Account of an Earthquake that happened there on Friday the 25-th Inftant, be- tween Three and Four in the Morning, I take this firft Opportunity of laying before you and the Royal Society, what Accounts I was able to colled during my Stay there. I know molt of the People that have ligned the inclofed Papers, to be Perfons of Vera- city : And what confirms me in my Opinion that there really was an Earthquake, is, that almoft every body agree in the fame Defcription, as to the Senfa- tion, the Hour of its happening, and the perfed Calm that was at that Time. I obferve the Shock was vaft- A a a ly ly more felt towards the Sea- fide, as at Shorehamy Tarring , Goreing , Arundel , and Havant . At my Houfe of Goodwood , which is near three Miles North of Chicheftery and about Seven from the Sea, it was not fo perceivable as at Chichejlery and where it was (till lefs fo than by the Sea-fide. I do not hear as yet that there was the lead; Touch of it in any Parts of the Vale on the North Side of the Downs, which for the moft part run Eaft and Weft. I think, what Dr. Bayley of Havant fays of the different Motions of the Beds, according to the different Situations they were in, is very well worth obferving. This Gentle- man is a Do&or of Phyfick, and a very curious Man. I could have got above fifty more Accounts from the feveral Places I have mentioned j but as they all tend to the fame Purport, I thought what I had already collected fufficient. I am. Sir, Tour obedient , Humble Servant , Richmond and Lenox. i. A Narrative of the fame Earthquake by. Edward Bayley, M. CD. Havant , Octob. if, 1734. BE tween three and four o’Clock in the Morning, an Earthquake was felt here : The Shock was fo confiderable as to be obferved by one or other in moft Houfes of the Towm I happened to be awake at that Time, and perceived the Bed fliake under me with V . r. ?«s ] ‘with a quick tremulous Motion, which continued about two or three Seconds, then ceafed 5 and after a very fhort Intermillion was repeated in the fame Man- ner, and lafted about the fame Space of Time, as near as I could guefs. I was at firft much furprized at fuch an unufual Phenomenon; but upon a little Recol- lection, concluded it muft be occafioned by an Earth- quake, and was foon confirmed in my Conjecture by the concurrent Obfervations of my Neighbours, and after- wards by Accounts of the fame from many other Places; in fome of which it feems to have been more violent than here. Several Perfons in this Place fay they not only perceived the {baking of their Beds, but alfo the rock- ing of their Houfes, together with a rumbling Noife of Drawers and the like moveable Goods in their Cham- bers and other Rooms. A learned and ingenious Gen- tleman in this Town informs me, that the Motion of his Bed appeared to him like the tolling of a Vef- fel when it erodes over a Wave, the Head and Feet thereof riling and falling alternately feveral times $ whereas mine feemed rather to rock from Side to Side : But thefe contrary Motions of the two Beds are eafily accounted for, by confidering the different Po- rtions of them, my Friend's Handing dire&ly Eaft and Weft, and mine North and South : For fuppofing the undulatory Motion which the Earth might have at that Time was propagated from Eaft to Weft, the fame kind of Motion which caufed his Bed to rife up and down longways, muft make mine rock from Side to Side 5 as may be obferved in two Veffels failing in con- trary Directions on the fame Waves of the Sea, that which croffes the Waves at Right Angles being toffed up and down endways, while the other moving in a A a a 2 Line t ] Line parallel with the Waves, will be rocked from Side to Side. What makes me the more inclined to think the progreffive Motion of this Earthquake to have been from Eaft to W eft, is, becaufe it appears from the beft Accounts I have yet had of it, that it was obferved fooner Eaft than Weftward, and likewife extended further from Eaft to Weft than North and South. It may not be amifs to take Notice of fome remark- able Phenomena which happened before and after, as well as fome other Circumftances which immediately attended this Earthquake, mod of them agreeing with thofe Signs which have been obferved by the learned to precede or accompany former Earthquakes in thefe and other parts of the World. It is obfervable, that we have had of late more Rain and W ind for feveral Months fucceffively, than for many Years paft 5 efpecially from the Beginning to the Middle of this Month, about which Time it cleared up, and the Weather became fuddenly very cold with frofty Mornings, the Wind blowing generally pretty hard from N. W„ On Wed - nefday the 23d, the Cold abated conliderably 5 it was cloudy, but we had no Rain that Day. The 24th was very calm all Day ; it rained moft part of the After- noon, though the Mercury ftood at 30^. It con- tinued very calm all Night, and rained hard for fome time before and after the Earthquake happened 5 but it foon cleared up, and we had a ftrong Gale of Wind, which rofe within half an Hour, or, as fome fay, within a Quarter, afterwards : It continued blow- ing hard all the Forenoon. At four o'clock in the Morning I obferved the Mercury continued at 30 Inches C 3*5 ] Inches*^, the Spirit of Wine at ff having rifen about five Degrees fince the late cold Weather. N. B . My Barometer and Thermometer are both in one Frame, made by Mr. Hawksbee. OStob. 29, 1734,. Edward Bayley. The Circumftances related by his Grace, and by Dr. Bay ley, are backed by the united Teftimonies of feveral 5 many of whom are known to his Grace to be Perfons of Veracity, and whom he procured to fign Certificates of what they obferved concerning this Accident at Chichefter and other Places. It is un- neceffary to trouble the Reader with each Certificate.; the mentioning the Names of thofe who have fub- fcribed them may fuffice. John Fletcher , Andrew and Sarah Adaire , Jane Johnfon , Martha Freeland , Owen Apps, Sarah Bryers . Sarah Tutte , and her Children Eleanor , Jane and Sarah . John Coftellow , John Freeland , Matthew Fathers. John and Sarah Bryers , John Long. Thomas Turgis , Richard Silver lock: All of the City of Chichefter . Philip Boifdaune, Efqj of the Parifh of Funting- ton in the County of Sujftex. This laft-mentioned Gentleman, and the aforefaid Perfons, dwelling in" the City of Chichefter, all agree that there was a manifeft Shock of an Earthquake felt on October if, about a Quarter before Four in the Morning, which lafted by fits fome few Seconds, about a quarter of a Minute, or while one might tell. [ ,6 others thought u it lafted about two Minutes. It alarmed the neigh- “ bouring Villages, Bloxham , four Miles South- Weft “ from Any ho 5 Bar ford, five ; Banbury , four Weft y “ Adderbury , a Mile Weft ; Crowton , a Mile to the u Eaftj and Charlton, as much to the North.. There “ was no Notice of its Progrefs South or South-Eaft, “ About a Minute after, fome of the Town of Ayn~ “ ho faw a great Flafh of Lightening. In the Morn- “ ing the Sky looked of a Land-colour. It was faid “ that there was a former Shock felt upon OH. 8. “ about Three in the Morning 5 and that the latter “ was preceded by aNoife like diftant Thunder.” It is remarkable, that this Shock was perceived to extend more from Eaft to Weft, than from North to South 5 which Particular was likewife obferved in the laft Shock felt in Sujfex 1734. IV. Her* [ ,48 ] II. Hermanni Boerhaave, A.L.M. ‘Philofoph. & Med. ^Do£t. Medicine in Univerjitate Leidenfi cProfeJf Colieg. Chi - iruygic. cPtaf. Reg. Soc. Lond. necnon Reg. Scient. Acad. Parifienf. Soc. de Mercu- rio Experimenta. Pars III. * Biennium, & ultra, eft, a quo obfervationes de argento vivo obtuli confeftiii Philofophorum in. Britannia ; atque, anno dein fequenti, fuper eadem re alia quaedam confcripii ad Academiam Scientiis pro- movendis dicatam a Sereniflimo Galliarum Rege. Ex utrifque conftitit mutata nunquam hydrargyri natura, licet variata mire fpecie, in novas crebro formas mu- tatus appareret. Alias juvat jam operationes recitare, unde major longe ejufdem conftantia probatur, fimul- que & aliorum metalloruin indoles exponetur. Al- chemiftarum antiquillimi, quos & optimos jure quis dixerit, uno ubique ore palam aiunt, mercurium efle metallum vivum. Sed & clamant iidem, hunc, quan- do habetur fincerus, omnifque alieni contagii purus, adeo tunc fimplicem deprehendi, ut fit quacunque parte fui prorfus idem, impatiens penitus dividi in partes varii ingenii. Dicunt porro, ea quoque gratia immutabilem omni caufe, et adeo quidem penetra- bilem fimul, ut alia quoque diflolvere queat, ipfe in- * Viie Parti. TranfaB. Nu 430. p. 14.5. & fey. Part II. N5 443. Pi 343. . terim C 3*9 ] tcrim nihil quidquam, vel inde quoque, mutatus* Atque uti in hifce quidem inter ipfos quam apertif- fime convenit, ita quoque confentiunt omnes, nun- quam de venis duci fuis immaculatum, femper vero inquinatum hauriri labe aliena, qux prima ab originc illi concreta, hinc mire inolefcens, in time etiam im- mifta fit. Dolent fane, vitium iilud quam moleftif- fimo inde labore auferri tantum pofle : quia in pri- mxva feminis foetura principiis nafcendi ipfis fe infi- nuavit, Sc indiffociabili fere vinculo innexuit. Vo- cabant iilud Sulphur, quod puro Mercurii fe immif- cet. Hujus refpeftu folum, invenerunt, Argentum vi~ vum mutabile efie 5 hoc unicum, accufant, impedire acrem ejus penetrabilitatem, obtundendo, atque he- betando, propriam Mcrcurio acienij hinc Sc fimpli- cem puri caftitaterfi degenerare in copulam, Sc con- nubium, cum peregrinis, folo lenocinio advenx pa- rarii. Si vero arcana quadam via purificaret fortuna- tus fimul. Sc fapiens,^ artifex hunc Mercurium ab omni hac congenita in natalibus fpurcitie, turn effe ilium ultra haud mutabilem ; accepiffe autem vim fubtili- tatis, qua per omnia alia fe penetret 5 fpernere connu- bia cum aliis, dedignari thalamos, nec dari in natura rerum corpus, cui fe dedat, coelibatus caftiffimi per- tinaciffime tenax. Sed quam admirabiie ingenium tremuli laticis ! quo redimendum labore, quo pretio ! Cruda coquit, perfkit vilia, metalla, alia quxlibet cor- pora prompte attenuat, refolvit, in humidum conver- tit radicale; fic, ad arcana medicinx, ad fecreta her- meticx artis, princeps inftrumentum jure laudatur, quo quid, fummo. Sane Myftx artis, atque Epoptx, narrant nobis, eife igni fimilem, qui omnia non mu- tandus unquam mutat, qui dividens quxlibet, qui B b b omnia C 370 ] omnia affocians, ipfe inta&us, nufquam vin&us, rc- cedit. Illecebr# tantorum promifforyim excitavere Herme- licos, u t omni ope niterentur modum difcere, quo infeftum Hydrargyro vitium poflent eluere, ut pura nitentem fimplicitate fibi pr&fto haberent. Et quidem igne folo maculam exurendam cenfebant horum fapi- entiflimi : quia ignis purgator metallorum unicus,. Nata hiucMercurii in vitris emaculatis, undique clau- fis, in ampullas vitreas puras, per igneni elevatio; Hanc vero geminabant toties, donee in rubrum, mi- cantem, pulverem, totum convertiflent. Sed polli- nem hunc igne fummo dum urgent in vitris mundif- fimis, en refufeitant inde priftinum Hydrargyrum. Ex- fultantes pro defoecato exceperunt, falfo tamen : quippe hie ipfe, refurgens. fuis de cineribus combufti, phoenix, nova tali ignis a&ione patitur, fe denuo fimilem in pulverem rutilum, fulgentemque, cogi. Atqui pa- lam negamt fummi magiftri, Argentum vivum, arte vera purgatum, rite adeo defoecatum, unquam cogi poffe ab igne in pulverem, nc quidem continuata in fempiternum attione,. Super qua quidem re legi me- rentur forte ea, quse faper his commentabar, dum enarrabam dxi. ejufdem Mercufii in vafis vitreis deftil- lationes vi ignis fa&as, in A&is Collegii Philofopho- rum in Britanniis, anni mdccxxxiii. menfe. Novem-- bri & DecembrL. An igitur tali modo dabitur adeo quanta depuratio? Vix credibile. Sed alia forte fuit operandi ratio, qua, prxeipitur ilia peragenda. Quin et artis principesr aperte distant diverfam : aiunt enim, defoecationem obtineri fperatam, dum Mercurii indagatus nucleus, detinetur a corporibus purilfimis; ex amicitia confan- guinitatis. [ 37i ] guinitatis ar&e cum, & ftabili conjugio, jungentibus nbimet. Atqui Aurum, Argentumque, pura, fixa, ip« fique Mercurio fincero metalla quam fimillima 5 five originem fpe&averis, five materiem. Sequi ex hrs fta- tuunt, fi permifcetur perfefto Mercurius metallo, atque iterum igne inde expellitur intta bene claufa vafa vitrea, partem metalli puri in fe trafturam Mercurium, iimulque fordidum Mercurii fecreturam puro. Ani- mo meo volupe fuit, experiundo difcere, quid hac in fententia veri foret. Si non faftiditis, paucis horx mo- mentis difcere eventa laboris improbi, dabo, qux mihi placere confiteor : quoniam vana me dedocuerunt multa, qux alte menti infita alebam ; 6c didici quoquc pauca bona, errand falutaria. Frui poffunt ftudiofi rerum naturalium xrumnofi operis fru&ibus $ neque neceffe erit carum tempus, atque fumtus fatis profufos, fimilibus impend ere. Id fi obtinget, mihi habebo fummum pretium, quod ambio. Auri puriflimi, quod arte docimaftica parari poteft, duas cum dimidiata uncias redemi ex officina publica argentarix Amftelxdamenfis} redegi in mafiiilas, qux fingulx pendebant femiunciam. Quinque has indidi in vitrum mundum, quod chemici retortum appellant; affudi fuper his integris Argenti vivi, puri, femel prius deftillare coadli, uncias xxv. Igne coegi exfcendere Mercurium ad dimidias ab Auro, quod in fundo fubfi- debat fub Mercurio. Pera&a fic operatione, exierant Mercurii uncix xm. in excipulum 5 in fundo vafis erat Aurum penitus jam diffolutum in Mercurio, fpecie mifti perfe&i, candidi, quod amalgama dicunt : unde patet, Aurum folo xftu ebullientis Mercurii diffolvi ; ifque videtur optimus modus mifcendi hxc bina, quod artis vocabulo dicunt amalgamare. Argentum vivum B b b 2 quod [ 572 ] quod exfcenderat, bene ficcatum reddidi refiduo in re- tortaj iterum exprefli igne sequalem inde Mercurii co- piam, quam denuo ficcatam afFudi ad refiduum. Hocque ea lege repetivi quinquagefies. Ultima vice exiverat purus Mercurius. Amalgama in fundo retorts fuperftes, nigrefcens, trivi in mortario vitreo, vitreo piftilloj turbabatur lutulenta aqua, quam effudi. Lavi cum pura affufa, quam terendo rurfus lutulentam ef- fudi. Id tredecim diebus fieri curavi, quando non fordefcebat amplius trim aqua, fed fplendide fulgens reftabat amalgama, pura manebat aqua. Pulvis tritu,. & lotu, paratus, colore fufcus, fapore tetrico metal- lico horridus, bene ficcatus, pependit grana lxxxiii. Mercurius dc Aurum pendebant 5xxvi. 3VI1* Perdita grana vii. drachmae tres cum femilfe, quinquaginta operationibus. Id contingit partim difflatu volatilis, partim adhaefu Mercurii ad chartam bibulam, qua fie- catur ab aqua, in quam deftillando fuerat exceptus. Puriffimum hoc amalgama iterum, eodem modo' tra&avi quinquaginta aliis vicibus. Exiverat jam vice quinquagefima purus Mercurius : in fundo vafis man- ferat amalgama fufeum. Id denuo tritum, lotumque, cum aqua, ut fupra retuli, poft tredecim dies operi impenfos, dedit pulveris abluti, fufei, ficcati 3i gr, xliv. Amalgama turn puriflimum cum Mercurio edu&o, pendebant 5xxvr. 3iv. perdidi his l operatio- nibus 31. gr. xvi. Rurfus depuratum hoc amalgama, plane eadem ra- tione quinquagefies feci deftillare. Exierat purus Mer- curius : in fundo retort# amalgama fubrufum. Id aqua tritum, lotumque, ut prius,, quatuordecim dies, dedit pulveris fufei 31. gr. 11. Amalgamati puro addidi Mercurium egrelfum, pendebant fimul Sxxiv. 3v. gr. XXlVo C 373 1 xxiv. Sed in fundo retortae, dum amalgama effunde- bam, aliquid amalgamate remanferat vitro adhserefcens : lit perdkum fupputare nequiverim. Depuratum amalgama quinquagefies itcrum fic trafta- tum, deftillando, terendo, lavando, per quatuorde- cim dies, dedit puiverem fufcura pondere 3ife gran- xv. amalgama fplendentiffimum fimul cum egreflo puroMercurio miftum, pendebat Jxxv. 31*- gr. xlvi. poft ducentas deftillationes. Et hoc amalgama quinquagefies urfi, ut prius 5 dein denuo trivi cum aqua, fedecim dierum ipatio 5 naftus fum pulverisfufci3ii.3i.gr. iv. amalgama fplendide candidum cum Mercurio pendebat jam fimul 5xxv, 3i. gr. xl vi. Hoc labore perfunftus vidi ducentis & quinqua- ginta deftillationibus Mercurii ab Auro, fic inftitutis,, Aurum & Mercurium dedifle pulveris defcripti unci- am, & grana quinque. Reftitifle Auri & Mercurii ?xxv> 3i- gr. xlvi. Periifie de materie, ratione enar- rata, §1. 3ii. gr. ix. Quae, dum intentus contemplabar, efficiebant, ut laetabundus fufpicari inciperem, me videre defidera- tam adeo methodum luftrandi Hydrargyri. Cogita- bam, in eo abfcondi forte culpatam Mercurii laberm Quandoque putabam, totum hunc pollinem merum efte foetidum fpurcumque Sulphur, quod immacu- latam Argenti vivi virginitatjem contaminaverat, Du- bitabam/fi non ipfe jam purum a balneo ignis aquae, fpedarem, nudumque Deorum nuncium 1 Tern- perabat impetum recordatio fimilis faepe, fed praecocis, gaudii, in fumos inanes toties dilapfi. Ambiguus de- crevi, non requiefcere, donee certa fides doceret ve- lum. Igitur §xxv. 3i. gran, xlvi, puriflimi illius ul- timi [ 374 1 tirni amalgamates iterum deftillare coegi praeterea, aliis fexcentis viginti & Teptem vicibus, dimidium Mer- curii Temper educendo, affundendo Temper : nec volui plus lavare aqua, Ted cernere, quid fieret. Solebat hoc opere nigreTcere materies, ut tandem colore Tece atro foedaretur. Obduxi turn vitrum, in quo erat, lorica ignem fercnte apertum; ficque atrum amal- gams, non ablutum ultra, egi igne fummo ita, ut retorta Tpatio trihorii prorTus ab igne canderet. Exiit Mercurius puriffimus ad ?xx. In Tundo vafts deinde frafti reperi uncias lift Auri fulgentiffimi, fine ulla omnino foece reli&a. En exitum rei! nec dolui aegrimonia triftium laborum: Tane eventum, haud praevifiim, jam certo cognitum, hac mercede dignum habui. Neque olei, nec operae, poenitebit unquam. Sumebam deinde pollinem, quern collegeram ccl. deftillationibus, ejuTque 3vii. grana lvii. urfi igne fummo, aperto, ex retorta loricata, ut diu hxc can- deret. Exiit de hoc pulvere Mercurius puriffimus, reTuTcitatus, ad 3-vn. gr. xlvi. In fundo retort# re- ftiterant, ut deprehendi, grana Tex pulveris fuTci. Argentum vivum, quod jam dccclxxvii. repetitis vicibus ita urTeram, ponderavi arte, induftria, & ftatera hydroftatica, amici cariflimi, celeberrimi proTefforis, 'sGravefande. Habuit Te ad aquam puram, ut xmft ad i : ut molimine tanto denfitatem haud mutaverit Mercurius, neque ulla parte Tui leviore fuerit libera- tes. Id jam addo: quia intellexi quid de TuTpicione nata, haud Tatis accuratam TuifTe rationem, quam ad- hibui ad exploranda pondera, quae memoravi in pri- mis, quae Societati dedi, de Mercurio commentariis. Fas mihi efto, pauca jam ex defcriptis colligere, pro veris habenda. i. Aurum C 375 ] 1. Aurum a Mercurio folutum, cum eo tories co &um, tritum, nihil de natura iua priftina mutavit, amifit de pondere proprio nihil, quod his experimentis notari queat, nihil acquifivit. 2. Argentum vivum Auro commiitum, ab eo per ignem rurfus expulfum, partem fui convertit in pul- verem fufcum, fubtilem, faporis tetrici, metallici, pe~ nitus diverfi ingenii a prior e fua natura, idque fit Tem- per, ufque ad dccclxxvii. vices. Qui tamen, folo igne fortiore, iterum redit in Argentum vivum idem-, quod antea fuerat, omni dote per artem obfervabili. 3 . Igi'tur ignis & aurum, hoc modo, non feparant ab Argento vivo partes diverTas, fulphur, foeces, aliud. Sed tantum id mutant fpecie externa, iterum reducen- da in formam prlftinam, omni ratione eandem ita, ut ne quidem pqndus ejus proprium ullo modomuta- turn fit. 4. Argentum vivum & Aurum vi ignis mutant fia*- tim argenteum fplendorem fui amalgamatis in colorem fufcum, tandemque nigrum: fed folo igne fortiore nitor Mercurio argenteus, & fulvus Auro fulgor, red- ditus docet, hunc colorem non demonftrare metallo- rum corruptionem, vel mutationem in fua natura. f. Si tamen auro & igne purgari poteft Mercurius nativus, ex fententia veterum, oportet alia id opera- tione efficere. 6. Cadit fpes mercurium fixandi cum Auro aftio im ignis : quum tanto molimine,. tempore tanto, nihil quidquam vel inchoatum fit * ultima deftillatio seque facile, ac prima, peragebatur. 7. Non firmatur hinc opinio, qux narrat, ignem mctallis, vel Mercurio, concrefcere pofie in augment tum^ [ 376 ] turn, vel generational!, alicujusmetallici ; aut in mu- tationem ipfius metalli ftabilem. 8. Quse conftantia, c\ux fimplicitas, Argenti vivi. Sc Auri ! Si in origine prima aurum fuit Argentum vivum : nonne tunc vere dicitur, Mercurium, vel to turn avolare ab igne, vel fixum in eo mancre totum ? 9. Magna promiffa, de Auro tritu folvendo, five cum aqua, five fine ilia, qux duo magni in arte viri fecere, non folvuntur hifce noftris laboribus. Sed vana fpes : fugerunt laborem improbum, praecipites fcftina- runt ad otiofas conclufiones. Unicum fupererat inquifitu dignum 5 An Mcrcurius, jam toties deftillans ab Auro per vim ignis, haud dcpo~ fuiffet earn proprietatem, qua per deftillationem ver- titur in pulverem ilium, qui appellatur praecipita- tus per fe? Igitur uncias illas viginti Argenti vivi dccclxxvii. vicibus deftillati ab Auro deftillare coegi ex retorta munda vitrea, tarn magna vi ignis, ut nihil prorfus Mercurii remaneret in vitro poft fingulas de- ftillationes $ id repetivi odies : in fundo retort# ob- tinui grana duodecim rutili, fcintillantis, ponderofi, fapore tetrico metallico praediti, praecipitati Mercuri- alis. Certus ergo, ne hanc quoque dotem ablatam mercurio per magnum hunc laborem. III. A L %77 3 III. A Letter to the Reverend John Theoph. Defaguiliers, L. L. T>. F. R. $. from Mr. Martin Triewald, F. R. S. Captain Of Me- chanics, an d Military Architect to his Swedifli Majesty, concerning an Improve* ment of the Diving Bell. Stockholm , Nov. i. 1732* Reverend SIR , HA V I N G the foie Privilege for diving on all the Coafts in the Baltic belonging to his Swedijh Majefty, no Opportunity has been wanting to make fufficient Trials with the Diving Bell and Air Barrels in feveral Depths, according to the ingenious Im- provement of that worthy Gentleman Dr. Edmund Halley , made in the Year 1716, but with fomefmali Additions. Experience has likewife convinc'd me, that no In- vention built upon any other Principles than thofe of th z Camp ana Urinatoria , can be of Ufe in any con- liderable Depths; or that the Diver, in any other In- vention whatever, can be a lingle Moment fafe. I will not, for Brevity- fake, mention the many Impe- diments that attend other Inventions, only that-t>f a Water Armour, in which the Man is drowned in an Inftant, when fuch a Machine receives the leaft Leak : Whereas Experience has fhewn, that when fuch an Accident has happen'd to the Diving Bell, as to my Knowledge it did once, when the Diver was 1 2 Fa- Ccc thorn C 378 ] thorn under Water, and a pretty large Hole happen’d to be ftruck in the Bell, by a Boult of the Wreck he went upon, at which Time the Air rufh’d out of the fame with fuch Violence as aftonifh'd the Beholders by the excellive boiling on the Surface of the Water, fearing, not without Realon, that the Man in the Bell was drowned ; but he clapped his Hand to the Hole or Leak, and gave a Sign to be haul'd up, which was done with all the Eafe and Safety as if no Accident had happen'd to him, the Water having only rifen about half a Foot into the Bell by this Leak. The very fame Diver that was then in the Bell is 63 Years of Age, and has ufed the Bulinefs of Diving ever fince he was 20, in a common Diving Bell, till of late, and is as yet a pretty ftrong and healthy Man : He declares that never a worfe Accident happen'd to him in his Bufmefs but once, when the Bell he was in rufh’d down at once about a Fathom or more, by the Care- leffhefs of thofe that work'd the Bell 5 at which Time the Blood came out of his Nofe and Ears, feeling be- fides an intolerable Preffure on his whole Body; which {hews, that when a Man in a Diving Bell is flowly ana gradually let down, he at fuch a Time and by Degrees refpiring comprefs'd Air, which by the Lungs is forc'd into the Blood, cannot feel the external Preffure, tho' of highly comprefs'd Air, , furrounding him, and that of the Water reaching fome Parts of his Body, which Convenience no other Invention can yield or afford, where the Diver is to- draw his Breath from Air in its natural State. I have often with a great deal of Pleafure obferved, that when I have caus'd the Bell to flop, being lower'd down five Fathom, and the Diver taking in the Air ' contain'd [ 37p ] contain'd in an Air Barrel, lower'd down a Fathom deeper than the. Bell, without opening the Cock for difcharging the hot Air ; the Water would, by the Accefs of the Air out of the Barrel, be quite, or to a very fmall Matter, expell'd out of the Bell * and when the fame was again lower'd down five Fathom more, the fame Operation with another Air Barrel repeated, and the Bell afterwards haul'd up, it was no fmall matter of Delight to fee, that every Fathom the Bell came up, it would difcharge itfelf of the fuper- fluous and large Quantity of Air, which came up from the Bottom of the Bell in very large Bubbles, as big as Eggs of an OJirich ; which Difcharge of Air and Phenomenon continued, till the Equilibrium of the Air in the Bell, and Preffure of the Water, was re- ftor'd, and till the Bell came above the Surface of the Water. At other Times I have obferved, when no Air was by the way taken into the Bell, but the fame lower'd down the common Way, and haul'd up again after fome Time, that the very Inftant when the Bell fhould part with the Surface of the Water, the Strength of two Men more was required at the Capfton at that Time, than before and after the Bell hung freely in the Air 5 from whence I prefume it plainly appears, that the Air which palfcs thro' the Lungs of a living Creature, lofes its Elafticity, and that the Lungs of a Man make a kind of a Vacuum in the Bell 5 for which Reafon the Diver feels at the very Inftant, when the Bell parts with the Water, a very fmart Prelfure in his Ears. Tho' Experience thus has taught me, that no In- vention is more fafe and ufeful than the Campana, C c c 2 Urinatoriav C ;8° : Urinatoria , with the ingenious Improvements of Dr. Halley ; yet I have likewife found, that this Inven- tion is not to be made ufe of without confiderable Charge, requiring a large Velfel, and Number of Hands, to the working and managing of fuch a large Diving Bell, and the Air Barrels with their refpe&ive Weights for finking 5 which Charges, however, ac- cording to the Depth of Water, and the Value of what is to be fetch'd up from the Bottom of the Sea, may not be regarded : But fince it more frequently happens in thefe Parts, that Cargoes of a far lefs Value than the Loadings of Spanijh Galleons, &c. are to be dived for 5 then next to the Goodnefs of the Inven- tion, I have found myfelf neceflltated to think how the Expences might be leffen'd, and that the Diving Bell neverthelefs might anfwer all Intents and Pur- pofes of Dr. Halley’s 5 which Improvement I take herewith the Liberty to communicate to you, which, is as follows : The Diving Bell, A B. {fee Fig. I.) I have caus'd to be made of Copper, and reduc'd the fame to a very little Compafs in regard to that of Dr. Halley’s , as you'll fee by the Scale under the Draught, by which means it is eafily managed by two Hands : Yet I pre- fume that a Diver may not only live in the fame for as long a Time, and with as much Eafe, at a very con* fiderable Depth of Water, as in a Bell of twice its Ca- pacity, for this Reafon, tho' a Man in a large Bell has undoubtedly more Air than in a lefs, and confer quently fhould be able to fubfift a great while longer on a large Quantity of Air than on a fmall Parcel ; yet becaufe his Head for the moft part is kept in the upper Part of the Bell, where the hot Air takes up its Place and 1 [ 5«i ] and Reftdenee, he receives very little or no Benefit of the Air under his Chin or Bread, tho' never fo fit for Refpiration ; which Air neverthelefs in the lower parts of the Bell will remain cool a long time after he has been in the Bell, and with Difficulty drawn his Breath ; which cannot be denied, and is very obvious to any body who has been in a German Bagnio, and fuch as are made ufe of in this Country, where in a Angle Room all the Degrees of Heat are to be felt, by means of a Contrivance like Stairs to the very Top of the Ceiling, a Man when he places himfelf on the upper- mod Step will feel an exceffive Heat, fo that any body not very much ufed to it cannot endure the fame, nor draw his Breath, but will faint away 5 whereas on the firfly.fecond and third Steps from the Floor, the Heat is very moderate 5 nay, fometimes the Air near the Floor pretty cool, when at the fame time near the Ceiling the Heat of the fame is intolerable. I will not mention many other Indances I could pro- duce. To encounter this Inconvenience I have caufed a fpiral Tube of Copper, b, c. to be placed clofe to the Infide of the Bell, fo fixed that the fame may be taken out and cleanfed at Pleafure, and with Eafe$ and at the fame time not to incumber the Diver when he is in the Bell; at the upper end of this Tube b, a flexible Leather Tube is join'd two Foot long, at the End of which is a turn'd Ivory Mouths piece, which the Diver (as foon as he perceives the Air to grow hot in the Top of the Bell) keeps com ftantly in his Mouth, which he is able to do by means of the flexible Tube in whatever Pofture he is in* ftanding, fitting, bowing his Head;$r. And all the. while C J»* I while he draws his Breath thro' the aforementioned Tube, and the Air from c; by which Contrivance he not only draws continually cool and frcfh Air as long as any is in the Bell, but occafions at the fame time a Circulation, which is fo neceffary to the very Being of Air, (efpecially in a comprefs'd State) and its Prefervation for the ufe of Animals, which I have found to be of great Confequence; and fo much the more neceffary, as any body who has been in a Diving Bell for a long Time, without any new Sup- plies of Air, and has been reduc'd to the laft Ex- tremity of breathing in the lame, will agree with me, that when at fuch a Time the Bell begins to be haul'd up, and by that means the comprefs'd Air al- low'd to expand and be put into Motion never fo little, the Man receives, as it were, a new Life, and incre^ dible Comfort and Eafe. Again, when, in Coal-pits, Levels are drove in the Coal or thro' Dykes, the Air of the Level or Adits growing hot by the Breath and Sweat of the Hewers and Workmen for want of a Circulation of the Air; I have found it to be an excellent Remedy, to place along the fide of the Drift or Adit, a fquare wooden Box, open at both Ends, laid from the Place where the Air is cool and good, reaching as far, by joining one Box clofe to another, as where the Work is car- ried on. Thus, by this fimple Contrivance, a Circu- lation of Air is obtain'd, and fometimes to that De- gree, that when a Candle is held at the End of the Box where the cool Air enters, the Flame is driven out by the Current of cold Air entring and circulating thro' the Box. By which Experiment I am apt to think, that tho' the Diver fhould not keep the End of the flexible Tube r~ "" in C 38; 3 in his Mouth, which he may do with all the Eafe in the World, yet that the Air would circulate thro' the Copper Tube, and he receive no fmall Benefit by it. DDDD are the Weights for finking the Bell, fo contriv'd as with great Eafe to be hook'd on the fame hanging on the Cable. The Iron Plate E, fixed to the Chains F F F, ferves the Diver to (land upon, when he is at work. The Bell is extremely well tinn'd within all over j and as in all Rivers, and the Coafts of the Baltic Sea , the Water is extremely clear and bright, becaufe of no Ebb and Flood, I have plac'd three ftrong convex Lenfes G G G. By thefe means the Diver can not only fee what is under him, but likewife on all fides at a good Diftance. Thefe Gaffes have ftrong Copper Lids like Snuff- boxes, HHH> which Lids are fhut, when there is no Occafion to difcover any Obje&s on the Bottom of the Sea, and ferve to preferve the Gaffes from being broken. I hope you'll pardon the Liberty I have taken to trouble you with a long Letter, which I might have inlarg'd with an Account of other Inventions, which,, if you approve of this, fhall in a little time follow $ in the interim I beg you'll grant me leave to remain with much Refpeft, Mojl Reverend SIR , M. Triewald, F R* S, Berl and Swed humble Servant . IV, A [ 384 ] IV. A Letter from Samuel Dale, M. L . to Sir Hans Sloane, Bart. Brefident of the Royal Society, containing the Defcnpt'ions of the Moofe-Deer of New-England, and a fort of Stag in Virginia $ with fome Re- marks relating to Adr. Ray's Defcriptiolt of the flying Squirrel of America. Worthy SIR, THE Prefent which I herewith make you, is the Head, or rather the Attire (as it is called in Heraldry) of the Moofe-Beer, fent me fome Years fince from New-England by the Honourable Samuel Shute, Efq; then Governor of that Colony. This Animal hath been mention'd by feveral Authors, but their Accounts have generally been fo very imperfed, that little Satisfadion hath thereby been given to the curious Inquirers after Natural Hiftory. The firft Men- tion that I find of this Moofe "Beer is by Mr. JoJfelyn, in a little Trad called New-England Rarities , where, Page the ipth, that Author writes, That if s a goodly Creature , fome of which being 1 2 Foot high , their Horns exceeding fair, with broad F alms, fome be- ing two Fathoms from the Tip of one Horn to the other. Much to the fame purpofe is the Account he gives of this Animal in another Book of his called Two Voyages to New-England, p. 88. in which he faith, that The Moofe, or Elke, is a Creature or rather a Monfler of Superfluity , when full grown, being many times bigger than an Englifh Ox. What Neal in . . T ? 85 3 in his Hiftory of New England, Vol. II. p. 573. hath of this Animal, called by him the Mofe , is copied from the aforefaid JoJfelyn . The beft and fulleft Ac- count of this Animal was lent by the Honourable Raul Dudley, Efq; Fellow of the Royal Society : This is publifhed in the Rhilofophical TranfaBions of the Royal Society , 368. p. i6y. where he makes them to be of two Sorts, viz. The common light- grey Moofe, called by the Indians, IVampoofe ; and the large or black Moofe, which is the Bead: whofe Horns 1 herewith prefent *. As to the grey Moofe, I take it to be no other than what Mr. John Clayton , in his Account of the Virginian fhiadrupedes, pub- lifhed in the aforefaid TranfaBions, N° 210. p. 122. calls the Elke-*, which Beaft by the Rarifians, in their Memoirs for a Natural Hiftory of Animals, Eng- lifhed by Mr. R it field, Page 167. is ^called by the Name of the Stag of Canada, of which I have feen a ftngle Horn, fent by Mr. Mark Cates by from Vir- ginia, by the Name of an Elks-horn, and was in all refpefts like thofe of our red "Deer or Stags, only larger, weighing about 12 Pounds Haverdupoiz , and from the Burr to the Tip, meafured by a String, about fix Foot high. Mr. "Dudley writes, that his grey The Dimenfions of thefe Horns, fee Fig. 2. arenas follow. Inches D d a Inches. A B 56 a b 11 C A 34 a cb 20 C E 31 a d 12 £ c D 34 d f 12 i D H 30 d e 11 F G 9 i g h 2§ F I 14 K L 7 Moofe [ 38* 3 Moofe is moffi like to the ordinary Deer 5 that they fpring like them, and herd together fometimes to 30 in a Company : But whether he means by that Term the Red , the Virginian , or the Fallow-Deer ^ is un- certain, he having faid nothing of their Horns , which was needful to diftinguifh them. The black Moofe is (by all that have hitherto writ of it) accounted a very large Creature. Mr. Jojfelyn (as I before mentioned) makes it many times bigger than an Ox s and Mr. 1 Dudley writes, that the Hunters have found a Buck or Stag- Moofe 14 Spans in Height from the Withers, which at nine Inches to the Span, is ten Feet and a half; and that a Doe or Hind of the fourth Year, killed by a Gentleman near Bofton , wanted but one Inch of feven Feet in Height. The Stag , Buck9 or Male of this kind hath a palmed Horn , not like that of our common or Fallow-Deer , but the Palm is much longer, and more like to that of the German Elke> from which it differs, in that the Moofe hath a branched Brow-Antler between the Burr and the Palm, which the German Elke hath not. Nor doth the Horn of this New-England black Moofe agree in Figure with either of thofe mentioned in the Fhilofophical TranfaBions , NQ 227. p. 485?. and N° 394. p. 123. to be found FoJJU in Ireland the laft of which, Mr. Kelly , writes, that for want of another Name they called them Elks- Horns . I fu- fped that thofe Horns which the late Reverend and Learned Mr. Ray mentions in his Synopfis Methodica Animalium Quadrupeditm to have feen with one Mr. Holney , an Apothecary of Lewis in Sujfex , as like- wife in divers Mufeums , were not the Horns of this black or American Moofe , but of the German Elke7 ' becaufe [ 387 ] becaufe that inquifitive Gentleman takes no Notice of any Brow- Antlers that they had ; which, I think, was too notorious to have efcaped his Obfervation, had had there been any fuch. Concerning the Number of young-ones, or Calves? which the Moofe brings forth at a time, Authors vary ; for Mr. Dudley faith, that they bring forth but two $ but Joffelyn in his Two Voyages , p. 89. and from him Neal , that they are three, and that they do not go fo long pregnant as our Hinds by two Months. What thefe two laft-mentioned Authors write con- cerning their calling their Calves a Mile diftant from each other, doth not feem to me probable. Nor do I find that Neal , in his Defcription of this Beaft, makes any mention of their having a long Tail, tho' fo charged to do by Mr. "Dudley , who likewife omits the Brow- Antlers in his Defcription of their Horns, There is another Beaft of the Deer-kind , which, tho’ very common in Virginia , and without Doubt in other of the Northern Provinces of America , yet I think it is not deferibed by any Author 5 (but it is ex- pected that it will not efcape being taken Notice of by Mr. Catesby in his Natural Hiftory of Florida, &ci) Mr. Beverly , in his Brefent State of Virginia, mentions both Elke and Deer in that Country, but doth not deferibe either : But by what I have received from Mr. Catesby , the firft fhould be the Canada- Stag, and the other the Deer I have here mentioned* Mr. Clayton likewife mentions the Elke , which he faith are beyond the inhabited Parts, and are the fame with Mr. Beverly’s 5 as alfo the Deer , of which he faith there are Abundance, yet doth not deferibe them, but calls them Red-Deer , tho' they are not the D d d 2 fame C ;S8 1 fame as we here call by that Name, but of thofe which follow. Mr. Neal iikewife mentions *Deer in New-England , but gives only the Name, which being general,, nothing can be inferred from it. That which I take for the undefcribed ^eer, is a Bead of the Stag-kind , having round Horns like them, not fpreading out as in the Stag or RedFDeer, but meeting nearer together at their Tips, and bending forward over the Face of the Animal ; the Brow- Antlers Iikewife are not crooked and (landing forward, but (trait and upright { fee Fig. 3.). The Skin of this *Deer is of an arenaceous or fandy Colour, with fome black Hairs intermix'd, and fpotted all over, while young, with white Spots, like fome forts of our Fallow-Eieer, being alfo about the Bignefs of them when fully grown. The cDama Virginians Rail Synop . Animal . Quad. p. 86. which was formerly in St. James s-Bark, feems to be different from this, if Mr. Willoughby was not led into a Miftake in taking it to be of the ‘Palmate-kind , by only feeing it when the Horns were fned. Perhaps this lad of Mr. Ray may be the Mauroufe of Joffelyris Voyages , p. 91. which, he faith, is like the Moofe , but his Horns are but fmall, and the Bead about the Size of a Stagy but his Defcription is too (hort to be fatif- faftory. There are other forts of Beer mention'd by Mr. Joffelyn in his lad-quoted. Book, p. 87; as- Inhabi- tants of that Country, as the Buck , Stags, and Rain - Beer y but whether they are the fame with thofe called by the fame Names in Europe , I cannot de- termine, the Defcriptions of them being omitted. He mentions Iikewife, for another fort of American - Beer> [ 58P 1 ‘Deer , an Animal called a Maccarib , Cartbo or To- hano 5 but by the Account he gives, it feems to be a Fidion, no fuch Animal being, I believe, in Re- rum natura. I find that Mr. Ray in his Synop. Qiiad. p* 2.1 f. rather refers the Sciitrus Americanus vo- lans , to the Moufe than, to the Squirrel-kind s be- caufe their Tails are broad and plain, and not turn'd over their Backs when they fit 5 which Miftake may perhaps arife from only feeing the Skin of one dead, when the Hair of the Tail had been eaten off by Mites- y for in one that I did fee alive, which was brought over from Virginia by Madam Cock , Sifter to Mr. Catesby , the Tail was hairy, as in others of the Squirrel-kind, tho' rather more thin, and did turn over the Back as other Squirrels, do. N. B. The fame Species of flying Squirrels hath: been found’ in Tolandh a Description of which, with an accurate Figure, is given by the Learned Mr.. Klein , F. R. S. in N9 427. of thefe Tranfaffions. As to the large Horns- found FoJJil m Ireland, I have taken particular Notice, (in feveral I have feen) befide the main Horns being palmated, that the Brow- Antlers are likewife palmated 5 which is a Circum- ftance peculiar to the Rein-Deer Species , being of great Service to them in removing the Snow, in order* to get at the Grafs or Mofs underneath, which is their chief Subfiftance in Lapland . C. M. % An> C 59° 1 Y* *dn sfytempt to explain the Phenomenon of the horizontal Moon appearing bigger , than when elevated many ‘Degrees above the Horizon : Supported by an Experiment. By the Rev. J. T. Defaguiliers, LL. 2). F.R.S. Communicated Pan. 30, 1734-5. HIS apparent Increafeof the Moon's Diameter (which a Telefcope with a Micrometer fhews to be only apparent) is owing to the following early Prejudice, which we have imbib'd from Children. When we look at the Sky towards the Zenith, we imagine it to be much nearer to us, than when wc look at it towards the Horizon ; fo that it does not appear Spherical, according to the vertical Seftion EFGHI, (Fig. 4.) but Elliptical, according to the Seftion eFghi. For this I appeal to every body's Senfe of feeing 3 but not to their Reafon, which is apt to take off the Prejudice in Perfons that have fome Knowledge of Aftronomy. Whereas any other Per- fon looking up very high towards the Sky, and then forwards near the Horizon, will (when asked) fay that the Sky over his Head appears much nearer. The Sky thus feen, ftrikes the Eye in the fame Manner as the long arch'd Roof of the lie of a Cathedral Church, or the Cieling of a long Room. This being premifed, let us confider the Eye at C, upon the Surface of the Earth, and imagine C at the Surface to coincide with K at the Centre j to avoid taking into Consideration that the Moon is really far- ther C 39' ] ther from the Eye when in the Horizon, than when it is fome Degrees high. Now when the Moon is at G, we confider it as at g, not much farther than G 5 but when it is at H, we imagine it to be at h, almoft as far again. Therefore, while it fubtends the fame Angle as it did before (nearly), we imagine it to be fo much bigger as the Diftance feems to us to be encreafed. I have contriv'd the following Experiment to illuf- trate this : Fig. y. I took two Candles of equal Height and Bignefs A B, CD, and having plac'd A B at the Diftance of fix or eight Feet from the Eye, I placed CD at double that Diftance j then caufing any unprejudic'd Perfon to look at the Candles, I ask'd which was biggeft l and the Spectator faid they were both of a Bignefs 5 and that they appear'd fo, becapfe he allow'd for the greater Diftance of C D 5 and this alfo appear'd to him, when he look'd thro' a fmall Hole. Then defiring him to (hut his Eyes for a Time, I took away the Candle CD, and plac'd the Candle E F clofe by the Candle A B,and tho' it was as fhort again as the others, and as little again in Diameter, the Spectator, when he open'd his Eyes, thought he faw the fame Candles as before., Whence it is to be concluded, that when an Ob- ject is thought to be twice as far from the Eye as it was before, we think it to be twice as big, tho3 it fubtends but the fame Angle.- — -And this is the Cafe of the Moon, which appears to us as big again* when we fuppofe it as far again, tho' it fubtends but the fame Angle. The Difference of Diftance of the Moon in Pa- ngeo and Apogeo, will account for the different BigneJ& [ 1 Bignefs of the Horizontal Moon at different Times, adding alfo the Confideration of the Faintnefs which Vapours fometimes throw on the Appearance. VI. An Explication of the Experiment made in May 1735, as a farther Confirmation of what was faid in a Baper given in January 30, 1734-5, to account for the Appearance of the horizontal Moon feem- ing larger than when higher . By the Same . HAVING made an Experiment with three Ivory Balls for Confirmation of what I had advanced, namely, that the Deception arifes from our judging the horizontal Moon to be much farther than it is 5 fome Gentlemen of the Society were convinced by the Experiment, but others were not; which obliges me to give this further Account of it, that People may judge of the Thing in Writing, which could not be fo well attended to in the Hurry of feveral Perfons viewing the Experiment in Hade. 1. Two equal Ivory Balls were fet one beyond an- other in refped of the Eye at E, namely, A B at 2.0 Feet Diftance from the Eye, and CD at 40. 2. It is certain, by the Rules of Optics, that the Eye at E or F will fee the Ball C D under an Angle but half as big as it fees the Ball A B 5 that is, that the Ball C D muft appear no bigger than the Ball o p placed by the Side of AB, 3. But [39* ] 3. Bat when looking at the two Balls (Fig. 6.) with the naked Eye in an open Room, we conftder that C D is as far again from the Eye as AB, we judge it to be as big as AB, (as it really is) notwithftanding it fub- tends an Angle but of half the Bignefs. 4. Now if, unknown to the Spedator, (or while "he turns his Back) the Ball CD be taken away, and another Ball op of half the Diameter be placed in the fame Line, but as near again, at the Side of AB, the Spedator thinking this laft Ball to be at the Place of CD, muft judge it to be as big as CD, becaufe it fubtends the very fame Angle as CD did before. It follows therefore That if a Ball be imagin'd to be as far again as it really is, we make fuch an Al- lowance for that imagin'd Diftance, that we judge it to be as big again as it is, notwithftanding that the Angle under which we'fee it, is no greater, than when we look at it, knowing its real Diftance. For this Reafon the Moon looks bigger in the Hori- zon, and near it, than at a confiderable Height, or at the Zenith : Becaufe it being a common Prejudice to imagine that Part of the Sky much nearer to us which is at the Zenith, than that Part towards the Horizon ; when we fee the Moon at the Horizon, we fuppofe it much farther; therefore as it fubtends the fame Angle (or nearly the fame Angle) as when at the Zenith, we imagine it fo much bigger as we fuppofe its Diftance greater. The Reafon why this Experiment is hard to make, is becaufe the Light from the Ball 0 p is too ftrongly refleded on account of its Nearnefs; but if we could give it fo little Light as to look no brighter than the Ball C D, it would deceive every body. I have made E e e the [ m ] the Experiment fo as to deceive fuch as were not very long-lighted s but Imuft confefs I have found it very hard to deceive thofe who fee at a great Diftance i tho’ they would all be deceiv’d, if the Diftances were of 300 or 600 Foot. Now in the Cafe of the Moon, the Deceit is help’d, becaufe the Vapours, thro’ which we fee it when low, take away of its Brightnefs, and therefore have the fame Effcd as would (or does) hap- pen in the Experiment, when the Light of the Ball op (trikes the Eye no (Longer than the Light of the Ball CD. VII. A Letter from Jofeph Atwell, 2). D. F. R. S. and ^Principal of Exeter College, Oxford, to Dr. Mortimer, R. S. Seer, con- taining fome Obfervations on a Man and Woman bit by Vipers. Exeter College , Oxford, July 24, 1734. SIR, T H E Man who was lately bitten by a Viper in the Prefence of yourfelf and feveral Members of the Royal Society, having been recommended to fome in this Place by Dr. Oliver of the Bath, I imagin'd that Sir Hans Shane and you will be pleafed with an Account of fuch Experiments as have been made here. , July 3d, the Man was bit in the Prefence of feveral befides myfelf, in the public Hall of this College. He received two Punctures in the Wrift, a little above the Thumb : The Blood iflued, and more Venom lay up- v _ I 395 ] on the Orifices, than could be immediately imbibed. The Man complain’d in about half an Hour’s Time, that thePoifonwas got up to his Shoulder, and entering his Body ; butnotwithftanding this, we did not fuffer him to apply his Medicine \_Sallad-oil ] till an Hour and io Minutes after he was bitten : by which Time he began to be flufh’d and in a Sweat, his Hand fwoln and dis- colour’d. Upon an Application of his Medicine, he found fome Abatement of his Pain ; but the Swelling appear’d more vifible, and fpread itfelf farther into his Arm. In about a quarter of an Hour the Man funk under the Table, and complain’d of violent Pains in his Back and Bowels, nor could he bear to be moved. At laft, his Pulfe failing, his Jaw being fallen, his Countenance changed, and Eyes fix’d, we ftretch’d him upon the Table, and applied the Medicine to his Belly and Stomach. Soon after which, recovering a little, he began to vomit, and brought up more than a Quart of Phlegm and Bile. In this Condition he lay for more than an Hour ; and then was remov’d into my Lodgings ; where he was feized again with a Fit of vomiting, and likewife purging, and continued fo till Midnight. I kept him in my own Houfe above an Hour, in Hopes of his growing better; but his Dif- order ftill continuing, and the Man being too weak -and feeble even to Band, I fent him in a Chair home to his own Lodgings ; where he was put into Bed, and after Midnight fell afleep, and awaked the next Morn- ing perfectly well ; excepting that his Arm was ftill fwoln, and the Flefh pitted, as if it had been dropfical. His Arm was bound up in Papers, dipt in his own Medicine ; and this was all, as far as I could obferve or learn, that was applied to it. The fame Day we E e e i caufed i C 19* 3 caufed two young Chickens to be bit 5 one died in two Hours, and the other in four Hours Time. A Third was bit three times, and then had the Medi- cine applied ; but it died at the End of ten Hours. The Flefh of this laft was grown very black, and there was much extravafated Lymph between it and the Skin, which flunk infufferably 5 but I could not perceive,, that theVifcera were at all difcolour'd. July 4th, W e had another Fowl, half grown, bit. in two Places, and the Medicine was applied: Half an Hour after which, the Fowl eat Meat, and feem'd much recover'd, but was dead in fourteen Hours Time. July 6th, We caufed two half-grown Cocks to be bit; the firft was bit but once, yet violently, and turned black immediately ; it had the Medicine applied, eat Meat afterwards, and feem'd pretty well; yet died in twenty Hours. The other was bit two or three times, but hardly wounded, and not half fo much difcolour'd as the former : We bathed the W ound with Viper-oil , but the Fowl died in a little more than two Hours. July 8th, We caufed two young Pidgeons to be bit ; the one had Viper-oil ap- plied immediately, but ficken'd- and died in four Hours: The other, had Olive-oil applied, and re- cover'd perfe&ly ; the Flefh beginning to return to its natural Colour in about an Hour's Time. July 17th, The Woman was bit in the publick; Hall of Brazen- Nofe-College, in Prefence of Dr. Frampton , Dr. Frewiny and feveral other Phyficians, myfelf, and many others. It had been fufpeded, that they play'd fome Tricks with their Vipers , and made them fpend their Rage and Venom beforehand : To obviate which, a Phyfieian of the Company had pro- vided C \97 ] vided fome freftv Vipers , which he had caught him-- felf a Day or two before, and kept in his own Cuftody till that Time. The Woman was bit twice by one of thefe, and received three Wounds, one in the Thumb and two in the Fore-finger. Her Hand was foon fwoln and fpotted, and her Finger turn'd black. After three and twenty Minutes, fhe applied the Medicine to her Hand, but not farther than the Swelling went; in which, 1 think, fhe was to be blamed, and I fufped the following Illnefs was in feme Meafure occafion'd by it. She walk'd home very well in Appearance : But about three Hours after the Bite was received, fhe grew very fick, and in great Pain 3 was feiz'd with Vomiting, Purging, and Fainting-fits, which continued upon her all Night, infomuch that the People of the Houfe defpair'd of her Life : Nor had fhe any Sleep till Noon the Day following. I faw her about Six that Evening, when fhe awak'd, and found her. very well in Spirits, but complaining of molt acute Pains in her Finger. Her Arm, Shoulder, Back, and Breaft, on that Side, were much fyvoln and inflam'd: All thofe Parts thus affected were hound up in Papers foak'd in the Medicine. After this there appear'd up- on her Finger two large Bladders, full of a black cor- rupt Matter 3 and this not only upon the Wound, but one of them was upon a diftant Part of the Finger, from it. She could not be perfuaded to open them, , which I believe would have eafed her. confiderably. , July 2 oth, The Swelling was confiderably abated,, and almoft reduced , intirely into her Hand, which be- gun to pit: But fhe complain'd ftill of her Finger, and could hardly endure to have it drefs'd with freCh i Papers, She continued in Bed till the 22d, for the fakec [ 39s ] fake of keeping her Hand in a more eafy Pofture 5 and then came abroad. The fame Day that the Woman was bit, we caufed a Fowl to be bit 5 but the Wound was not deep, and little more than a Scratch. No- thing was applied to it, and it died in twenty Hours. A large Puppy was bit the fame Day three times in the Head, had the Medicine applied, but died in about an an Hour. It was known that thefe People kept them- felves fading thofe Days when the Experiment was to be tried upon them : This occafton'd a Sufpicion that they might take fome Antidote to prepare their Bo- dies : For which Reafon, I order'd the Man to bring me fome Vipers after Dinner, iaft Monday , under Pre- tence of making fome farther Experiments upon Dogs. We had provided at-thefame Time fome frefh Vipers without his Knowledge, and then propofedto him to be bit by one of them, and apply his Medicine imme- diately. His Hand was befmear'd with the Medicine in applying it to a young Dog, upon which we had juft made an Experiment. Two Vipers were tried upon the Man, but neither would bite him : One of them attempted it feveral times, and fpilt his Venom, but always caught back his Head again, as if there had been fomething in the Hand offenfive. Upon this, fufpe&ing that the Smell of the Medicine might occa- fton it, we made him wafh his Hand, after which an- other Viper bit him immediately : But whether our Conje&ure was right or not, muft depend upon far- ther Trial. The Man received the Bite upon the Joint of the Thumb, and the Blood iftued at the two Ori- fices. He applied the Medicine inftantly : The Thumb .appear'd black foon, the Hand was fwoln, and the Tiefti pitted inftantly. He drank a Mug of Ale after it [ 199 3 it, and then went home to Bed. Yefterday Morning,, his whole Arm was fwoln, but the Man was fo well that he went fix Miles out of Town, and came home again in the Evening. I have feen him again this Morning 5 the Swelling is aimoft gone above the El- bow, but the Flelh pits below: The Wound has bli- fter'd, but the Bladders were filled with a Water, and not any Thing of that black Matter which appear'd upon the Woman's Finger. We caufed a young Dog (mention'd before) to be bit the fame Day, and ap- plied the Medicine : Another Dog was bit three times in the Nofe, and nothing applied : Both are much fwoln, but very likely to live- We like wife thruft the. Teeth of a Viper's Head cut off twenty-four Hours be- fore, into the Flefh of a Eowl, which turn'd black im- mediately, but the Fowl is perfedly recover'd without : any Application. I leave you. Sir, to make your own Refkdions up- on thefe Experiments i and fhall only add, that I would by no means encourage the Man to go on with them j fince they muft at leaf! occafion him much , Pain and Mifery, more than the Gams are worthy and perhaps injure his Conftitution likewife. It is, rather to be wifhed, that he could obtain fome Re- ward, and make the Medicine public ; in which cafe there would probably be unfortunate Perfons enough in the Country, who would have Occafion to try it5 , without torturing themfelves defignedly. I a m?i SIR, Tour very humble Servant > Jo. Atwell.. Yin. An [ 4°o ] VIII. An Account of fome Ele&rical Experi- ments intended to be communicated to the Royal Society by Mr. Stephen Gray, F.R.S. taken from his Mouth by Cromwell Mor- timer, M. D. R. S. Seer, on Feb. 1 4, 1735-6. being the T> ay before he died. AKE a fmall Iron Globe of an Inch or Inch and half Diameter, which fet on the Middle of a Cake of Rofin of about feven or eight Inches Dia- meter, having firft excited the Cake by gently rub- bing it, clapping it three or four times with the Hands, or warming it a little before the Fire 5 then fallen a light Body, as a fmall Piece of Cork, or Pith of El- der, to an exceeding fine Thread, five or fix Inches long, which hold between your Finger and Thumb, exa&ly over the Globe, at fuch an Height, that the Cork, or other light Body, may hang down about the Middle of the Globe : This light Body will of itfelf begin to move round the Iron Globe, and that conftantly from Weft to Eaft, being the fame Dire&ion which the Planets 'have in their Orbits round the Sun. If the Cake of Rofin be circular, and the Iron Globe placed exaftly in the Centre of it, then the light Body will deferibe an Orbit round the Iron Globe, which will be a Circle 5 but if the Iron Globe be placed at any Dif- tance from the Centre of the circular Cake, then the light Body will deferibe an [Elliptical] Orbit, which Experiment I. will [ 4oi ] will have the fame Excentricity as the Diftance of the Globe from the Centre of the Cake. If the Cake of Rofin be of an Elliptic Form, and the Iron Globe be placed in the Centre of it, the light Body will aeferibe an Elliptical Orbit of the fame Ex- centricity as the Form of the Cake. If the Iron Globe be placed in or near one of the Focus’s of the Elliptic Cake, the light Body will move much fwlfter in the Apogee Part of the Orbit, than in the Perigee Part, contrary to what is obferved of the Planets. Experiment II. Take the fame or fuch another Iron Globe, and having fatten'd it on an Iron Pedeftal about one Inch high, fet it on a Table, then fet round it a Glafs Hoop or Portion of an hollow Glafs Cylinder of feven or eight Inches Diameter, and two or three Inches high : This Hoop muft be firft excited by warming and gently rubbing it, then hold the light Body fufpended as in the firft Experiment, and it will of itfelf move round the Iron Globe from Weft to Eaft in a circular Orbit, if the Hoop be circular and the Globe ftand over the Centre of it, but in an Elliptic Orbit with the fame Excentricity, if the Globe does not ftand in the Centre of the Hoop, as in the firft Experiment, when the Globe does not ftand on the Centre of the Cake. [What will happen if the Hoop be Elliptic, he did not mention 5 I fuppofe, he had not an oval Glafs Hoop by him.] Experiment III. This fame Iron Globe being fet on the bare Table, without either the Cake of Rofin or Glafs Hoop, the Tff ^ Email t 4®* 1 fnrall light Body being fufpended as in Experiments I, II. will make Revolutions round it, but (lower and nearer to it than when it is placed on a Cake of Rofin, or within a Glafs-hoop. Remarks. He had not yet found that thefe Experiments would fiicceed, if the Thread, by which the light Body was fufpended, was fupported by any other Thing than an Human Hand; but he imagin'd it might happen the fame, if the Thread fhould be fupported or fatten'd to any animal Subftance whatever j and he intended to have tried the Foot of a Chicken, a Piece of raw Flefh, or the like. He imagin'd to explain the foregoing Particular, by the following odd Phenomenon, of which, he allur'd me, he was very certain, having often obferv'd it, viz. If a Man retting his Elbows on his Knees, places his Hands at fome fmall Diftance from each other, they will gradually accede to each other, without any Will or Intention of the Man to bring them together;, and they will again recede of themfelves. In the like manner, the Hand will be attraded by the Body ; or the Face of a Man, if he (land near a Wall, will be attracted to the W all, and be again repelled by it. He told me, he had thought of thefe Experiments only a very fhort Time before his falling fick, that he had not yet tried them with variety of Bodies, but that from what he had already feen of them, which flruck him with new Surprize every Time he repeated them, he hoped, if God would (pare his Life but a little longer, he fhould, from what thefe Phenomena joint out, bring his Ele&rical Experiments to the greatest [ 4°* 1 greateft Perfection; and he did not doubt but in a fhort Time to be able to aftonifh the World with a new Sort of Planetarium never before thought of, and that from thefe Experiments might be eftablifhed a certain Theory for accounting for the Motions of the Grand Planetarium of the Univerfe. In trying thefe Experiments fince his Death, I have found that the fmall light Body will make Revolu- tions round a Body of various Shapes and Subftances, as well as round the Iron Globe, if fet on the Cake of Rolin 5 thus I tried with a Globe of black Marble, a Silver Sand-difh, a fmall Chip- box, and a large Cork. I obferved that the Cake, if nothing flood upon it, would in any Part ftrongly attract the light Body, as held fufpended by the Thread 5 but when the Globe, or other Body, was fet upon it, the Edges of the Cake attracted the ftrongeft, and fo gradually the Attraction Teem'd as it approached the Centre to grow lefs, till at a certain Diftance it was changed into a Repulfion, which proceeded from the Globe, or other Body placed upon the Cake, which very ftrongly repels the light Body, unlefs it be held very near it, and then it attrads it ftrongly. While the light Body is fufpended, as in the foregoing Experiments, if you approach the Finger of the other Hand near it, it will fly from the Finger, or be rebelled by it with great Vigour. Ff f z IX. Some [ 4°4 3 IX, Some Thoughts co cerning the Sun and Moon, when near the Horizon, appearing larger than when near the Zenith 3 being *Part of a Letter from James Logan, Lfq, 3 to Sir Hans Sloane, Bart. Brejident of the Royal Society, <&c. * * * Philadelphia , Sept . 20. 173 5^. IT may, perhaps, be needlefs now to add any thing in Confirmation of Dr. Wallis's Solution ( fee thefe TranfaElions , N° 1S7.) of the San and Moons ap- pearing fo much larger at riling or fetting, than when in a greater Altitude 5 tho* fome have very abfurdly fti'll gone on to account for it from Va- pours, which I remember was given me in, my YoUth for the true Caufe of it. "Tis true, indeed, that "tis thefe Vapours, or the Atmofphere, alone, that make thole Bodies, when very near to the Horizon , ap- pear in a fpheroidal Form, by refracting, and there- by raifing (to Sight), the lower Limb more than the upper, yet thefe can be no Caufe of the other. The Sun and Moon , each fubtending about half a De- gree, appear in the Meridian of the Breadth of eight or ten Inches, to fome Eyes more, and to others lefsj and in the Horizon to be two or three Foot, more or lefs, according to the Extent of Ground they are feen over : But if one can have an Oppor- tunity, as I have here frequently had, of feeing the Sun rife or fet over a fmall Eminence at the Dif- tance of a Mile or two with tall Trees on it (land- ing [ 405 ] ing pretty clofe, as is tifual in Woods without Un- derwood, his Body wiii then appear to be ten or twelve Foot in Breadth, according to the Diftance and CircuiTiftances of the Trees he is feen through ; and where there has been fome thin Underwood, or a few Saplings, I have obferved that the Sun fetting red, has appeared through them like a large extenfive Flame, as if fome Houfe were on Fire beyond them. Now the Reafon of this is obvious, viz. that being well acquainted with Trees, the Ideas of the Space they take up are in a Manner fix'd, and as one of thofe Trees fubtends an Angle at the Eye, perhaps not exceeding two or three Seconds, and would fcarce be diftinguifhable, were it not for the ftrong Light behind them, the Sun’s Diameter of above, thirty Mi- nutes takes in feveral of them, and therefore will naturally be judged vaftly larger. Hence 'tis evident, that thofe Bodies appear greater or lefs, according to the Objefts interpofed or taken in by the. Eye on viewing them. And to this only is that Pheno- menon to be imputed. I am fenfible this Method of arguing is not new,, yet the Obfervations here given may probably tend to illuftrate the Cafe beyond what had been ad- vanced on the Subject. $ * * FINIS* ERRATA which efeaped Notice In the particular Num- bers of this Thirty-ninth Volume of Philofopbical Tranf aUionu NUMB. 440. p. 194. 1. ulc. after the Word Tlantmfat (as p. 195. 1. I. for that r. from which. ibid. 1. 3. after Mu Jim infert a) to clofe the Parenthefis. N°. 441. p. 211. 1.6. for P.R. r. Pr. p. 234. 1. 8. r. dilatabatur . JST°. 444. p. 385. I.25. before ab. ii Inches , infert Tig. 3. p. 390. 1. 26. after the Word E/e, infert Fig. 4. A N INDEX To the Thirty-ninth Volume of the Philofophical 'Franfaflions. Por the Years 1735 and 173d. AD der, fee Viper, n. 441, p. 251. #.443, 7^3 13,' Air Inflammable, Experiments concerning it, n. 442^ p. 282. — a Machine for changing it in a Room, 437, p. 41^ ► its Velocity calculated in the centrifugal Bellows^ a. 437, p. 44. Amy and ( Claudius) a Cafe of the Foramen Ovale being open . in an Adult, n . 439, p. 172. - of an Inguinal Rupture with a Pin in the Appendix Coeci 3 and Obfervations on Wounds in the Guts, a. 443, p . 329, and of Navel Ruptures, ibid*. ^.338 and 341. Anderfon ( Hanvil ) his Cafe, an Inguinal Rupture with a Pin in it, n. 443, p. 329. Arabian Figures, when firft ufed in England , na 439, p . 120* f Argentum vivum, vide Mercurium , 443, 343, Csfc. Arithmetical Machine, by Mr. Gerften , 438, 71. 79, Armour, Water*, its Dangeroufnefs, n. 44.4, p. 377, Attraction, one*s Hands, if held near one another, will mu- tually attract each other, n+ 444 rp. 402, , Atwell INDEX. Atwell (J of.) Obfervations on a Man and Woman bit by Vipers , n. 444, P- 394- Aurorce Boreales Vitembergae Obf 1733, n. 441, ^.239. 77. 442, p. 266. — — i . — -Obferved in England 1735, n. 441, p. 241. . — — * — proper to determine the Longitude of Places by, n. 441, p. 244. Aurum , £ quo Argentum vivum 777 vicibus diflillatum fuit% fulgentijfimum remanfit , 72. 444, p. 374. B. (Roger) the Figures in his Calendar, n. 439, p. 127. Bahama Iflands, Natural Hiftory of them, #.4.38, p. 112. 77.441,^.251. Bailey (Edward) of an Earthquake in SuJJex, Obf. 25. 1734, n. 444. P- 362- Barker (Robert) a Catoptric Microfcope, nc 443, p. 259. Barlow (William) Account of Births and Burials at Stoke- Damerelly n. 4 9, p. 171. Bath , an hot ; for Perfons bit by Mad Dogs, 77. 44 3^. 319. Becherus (Joachimus) Mercurium pojfe ex plumbo elici, n. 443, P • 349- Belchier (John) of Bones of Animals turn’d red by Aliment only, .77. 442, 287. n. 443, p. 299,. Bellows centrifugal, by Dr. Defaguiliers. , 77. 437, p. 44. Births and Burials at Stoke-Damerell , 77. 439, p . 171. Boerhaave (Hermannus) de Mer curio experiment a. Pars II. 77. 443. p. 343. Pars III. 77. 444, p. 368. Boethius's Apices , or Notes for Numbers, 77. 439, y>. 124. of Animals turn’d red by Aliment only, 77. 442, y>. 287. 77. 443, p. 299. Bony Subftance in the Wombof a Woman, 77. 440, p. 189. Braccio de Mercanti , 7 1 v/r r ^ _ deTeffitoriderela'i Meafures’ ** ++2’ ** 2(53- Braikenridge (William) a general Method of defcribing Curves, 77. 436, p. 25. Memifphere , The 5 77. 440, p.210* Bullard I N D E X, Bullard (Ann) a Cataleptic Woman, n. 437, p. 49. Burning , a Senfation of, excited by Electricity, 7/. 436, p. 19. 0. 439» 168. . Burton (William) concerning the Viper-catchers , 0. 443, 312* C. Campana JJrinatoria , 0. 444, p. 377, Cancri terreftres, n. 438, p . 114. Canna of the Architects, 7 r & Mercanti, f *• 442. 7>- 263. Caribo, a Sort of Deer, 0. 444, p. 389. Carolina , Natural Hiftory of it, 0, 438, p, 112. 0. 441, p. 251. CaJJena , a Leaf ufed as a Sort of Tea, 0. 441, p. 257. Cataleptic Woman , The Cafe of a j by Richard Reynell , #• 437^ ^ 49* Catch-fly , Spanifh ; fee S tell aria and Lychnis vifcoja , &c. »• 443 > 36°- Catesbfs ( Mark) Natural Hiftory of Carolina and the ifo- Iflands , 0. 438, p . 1 12. 0. 441, p. 251. Celflus ( Andrew) Obfervations of Aurorce Boreales in England 1735 > #• 44L jp. 241. — (Andreas) Qbfl Eclipfl Telluris , Romes y Mail 3. 1734. 0. 442, p. 294. Chickens bit by a n. 444, p. 395. Chirograph , Obfervations on an ancient one by Gtffc, 0. 441, p. 211. Cineraria , 77. 441, p. 212. Coal-pit s9 a Method of conveying frefti Air, 0. 444, p, 3820 Cod:, his Bones turn’d red by eating Madder, 0. 443, p. 300. Gm, Appendix ; a Pin lodged in it, 0, 443, p. 333. Colchefter , an ancient Date there, 77. 439 , p. 121. Colfon (John) of the Conftru&ion andUfe of Spherical Maps, 77. 440, p. 204. — Tranflation of Sir Ifaac Newton’s Fluxions and Infinite Series, n . 443, p. 320. Conveyance of Part of a Sepulchre, a Romany 0, 441? p. 2 1 x. G g g Cookfon 1 N D E X. Gookfon (Dr.) An Account of Magnetifm produced by Lightning, 0. 43 7> 74> 75- Cope (John) on the Antiquity and Ufe of the Indian Cha- radters or Figures, n. 439, p. 131. - a Letter concerning an ancient Date at Widysl- hall , n. 439, p, 1 19. Crab, Land , n. 438, p: 114. Hermit-crab, ibid. Soldier- crab, ibid. p. 1 1 5. Curves , a general Method of defcribing them, by Mr. Braikenridge , #.436, p. 25. Curve Lines , their Defcription, by Mr. Mzr Laurin , 0. 439. J43- — Fluxions,, and Infinite Series, applied to the Geometry of them, by Sir ijfozc Newton , 0. 443,7?. 320. Cutaneus Affeffius fingularis Obf. ab Abr . Vatero, n. 440. ^ *99* D. Bale (Samuel) of the Moofe-Deer of New- England, a Sort of Stag* of Virginia, and the flying Squirrel of America , 0. 444, P- 384- Bam a Virginiana Radi, 0. 444, p. 388. Darner ell , SM*- ; Births and Burials there, 0. 439, p. 171, Dampier (George ) his Powder againft the Bite of a mad Dog, n. 443^ ?• 3J9> 36°- Damps in Mines, caufed by burning Candles in them, 0. 442, p . 281. Darts of Lightning, why appear crooked and angular, 0. 44 1,. p. 240. Bate , an ancient oner 0. 439, p. 1 19, 132. P^r, Virginia , 0. 444, p. 388. Berham (William) Experiments of the Vibrations of Pen- dulums, 0. 440, p. 201. Befaguliers (John Theoph.) Machine for changing the Air of a Room, 0.. 437, p. 41. and its Ufes, p. 47. — — — centrifugal Bellows, 0. 43 iy f..4^ ~~ — . of Damps in Mines being caufed by burning of Candles in them, 0, 442, p. 281. Befa - INDEX. Defaulters (John tfheoph.) why the Horizontal Moon feema bigger than when more elevated, n . 444, p . 390, 392. Diving-Bell , an Improvement of it, n. 444, p. 377, 381. Dog, bit by a Viper ^ n. 443, p . 316. — — mad* *, a Cure for his Bite, n. 443, p , 319, 360. Dudley (Paul) feveral Earthquakes in New- England , 77. 437, £• 63- — of the Moofe-Deer , 72. 444, p . 384. E. Eames (John) Account of Sir Newtotfs Book of Flu- xions and Infinite Series, with its Application to the Geo- metry of Curve Lines s tranflated by John Colfon , n. 443, p. 320. Earth , its Diurnal Motion contributes to produce the Trade- Winds, ft. 437, p. 58. • its Figure, by James Stirling , 72. 438, 98. Earthquakes , a Caufe of them, 72. 442, 284. — four Species of them, 72. 437, p . 67. — the Shock obferved to extend more from Eaft to Weft, than from North to South, 72. 444, p. 367. in New- England , feveral, efpecially 0#. 29* ^ 1727. 72. 437, p. 63. r in 1 $ujfex, 051. 25. 1734. n. 444, 361. — in Northamptonfhire, 051. 10. 1731. n. 444, 367. Eclipfes of Jupiter’s Satellites, computed by James Hodgfon, for the Year 173 6, 72. 436, p. 5. for 1737, 72. 440, -£• 177. for 1738, 72. 443, p. 301. obferved by M. de Uljle * 1731 and 1732, at Peter slurgh^ n . 441, 227. »- — , . ■ obferved by G. £77272, 72. 440, p . 196. • £2/72^, 05. 2. 1735. iVl S. Vitembergce , 72. 443, .£•359* • fellur'is , .R07720, A&ii 3. 1734. AT. 5. 72. 442,^. 294* Ele5lricity> Experiments and Obfervations of, by Stephen Gray, p . 16. 72.439, ^ x66, 72,444, jp. 400. Ggg 2 EWrkify* INDEX. Eleffricity, continues longer upon Silk than Yarn, 439, p , 169. Eleutheria Cortex, «. 441, p. 255. Ellicott (John) an Inftrument for meafuring the Expanfion of Metals by Heat, n. 443, p. 297. Elton (John) his Quadrant, n. 442, p. 280. F. Figures Arabian or Indian , when firft ufed in England for Numbers, n. 439, p. 119, 120, 126. ~ — - — their Antiquity and Ufe, n. 439, p. 13 1. * their Rife, n. 439, p. 124, 126. — what ufed by the Greeks and Romans , n . 439, 124, *35- K//n, Lapidis Mexicani Examination &c. ». 438, p. 106. Fiflula Lacrymalis, fome Thoughts on it, by Dr. Hunauld> *\437> I- 54- Fluxions , Sir If aac Newton of them, 443, p . 320. (Martin) of the Standard Meafures in the Capitol at Rome, n . 442, p. 262. Foot , the Gra£ an & Roman, n. 442, yr. 263. Foramen Ovale , open in an Adult, 439, p . 172. Forth (Henry) concerning the Storm on 8. 173 4-5. 442, 285. G. Obfervatioris on an ancient Roman Chiro- graph, or Conveyance of Part of a Sepulchre, n* 4.4. i, jP. 212. Geoffrey ( Claud. Jof ) of Mr. Seignette’s $0/ Polychreftus Ru - pellenfis , &c. zz. 436, 37. Gerjlen ( Chriftian-Ludov. ) his Arithmetical Machine^ and its Ufe, w. 438, p. 79. Gourdon (Sir Robert) a Receipt to cure mad Dogs, 443, ^ 360. Gravity. % its Variation on the Surface of the Earth, n. 438, p. 98, Gray (Stephen) Experiments relating to Electricity, n. 4 36, p, 16, 439, p, 1 66, ^444,^,400, 6^47 INDEX. Gray ( Stephen ) of Light produced by communicating Elec- trical Attraction to Animal or Inanimate Bodies, n. 436, p. 16. 0. 439, p. 1 66. — — of the Revolutions of pendulous Bodies, by Ele&ricity, n . 441, p. 220. Gulfton ( Francis ) an ancient Date' at his Houfe, n . 439, p. 120. Guts, Obfervations of Wounds in them, n. 443, p. 33 6. H. Hadley ( George ) concerning the Caufe of the general Trade- Winds, n. 437, p. 58. *— — — (John) a Propofition relating to the Combination of Tmnfparent Lens’s with Reflecting Planes , 0. 440, p. 185* . his Quadrant, 0. 442, p. 280. Halo dbf Romas, Aug . 11. 1732, 0. 438, p. 118. Heat, greater near the Top than the Floor of the Room, n. 444, p. 38 r. Helmdon, an ancient Date there, 0. 439, p . 120. Van Helmont (Franc. Mercur.) Mer curium poffe ex Plumbo extrahi, n. 443, p. 349. -(Job. Bqptifta) Argentum vivum ex Plumbo ex- trahi, n. 443, p. 348. Herennius (Marcus) Chirogrnphum , 0. 441, p. 211. Hermit-crab , 0.438, 114. Hodgfon (James) a Catalogue of the Eclipfes of Jupiter’s Satellites for the Year 1736, 0. 436. 5. for 1737, 0. 440. p. 177. for 1738, 0. 443, p. 30 1. Body (Edward) of a bony Subftance found in the Womb of a Woman, 0. 440, p. 189. /%’s Bones turned red by eating Madder , 0. 442, p. 2 88* 0.443,^.299. Hollandus (Ifaacus) Argentum vivum poffe e Sale Plumin' ex- trahi, n. 443, />. 353. H000J of a large Sort of Deer Foflil in Ireland , 0, 444, ?• 386> 389. Houfionus (Guil.) Experiment a de Perforatione Thoracis , ejufque in Refpiratione EffeClibus , 0, 441, y>, 231, Hudfonr INDEX. Hudfon's-Bay, Obfervations made in a Voyage thither, v. 442, p. 270. Hunauld ( Francis-Jofeph \ ) fome Thoughts on the Opera- tion of the Fiftula Lacrymalis , ft. 437, p. 54. Hydrargyrus. Vide Mer curium , ft. 443, p. 343, &c. Hydrophobia cured with Mercury, or Turpeth Mineral , ft. 441, P- 245. I. James ( Robert ) Experiments made on mad Dogs with Mercury, n. 441, p. 244. Ignis non potefi concrefcere Metallis vel Mercurio in Aug?nen - turn, n. 444, />. 375- Fathera Bark, n. 441, 7). 255. Impregnation of the Seeds of Plants, n. 440, p. 192. Incruftations of Bodies lodged in the Guts, n . 443, p. 33 5* Indian Figures, when firft ufed in England , ft. 439, p . 119* Infinite Series , Sir Ifaac Newton of them, ft. 443, p . 320. Inflammable Air, Experiments concerning it, ft. 442, p. 282, Infirument for meafuring the Expanfion of Metals by Heat, »• 443> P- 297* (Thomas) of the high Tide in the Thames , Feb . i6« i735-69 »• 440, 198. JoJfelyn (Mr.) of the Moofe-Beer , 0. 444, p. 384. Jhw Rods, lengthen’d by Heat, and ihorten’d by Cold, ft. 440, p. 202. Jupiter9 s Satellites, a Catalogue of their Edipfes, by Hodgfon , for the Year 1736, ft. 436, p . 5. for 1737, *• 440, jp. 177. for 1738, ft. 443, p. 301. — — the apparent Time of their Immerfions and Emerfions vifible at London in vthe Year 1736. by the Same, ft. 436, p . 13. in 1737, ft. 440, p. 184. in 1738, *•44 3>P*3°9' — — — fome Obfervations of the Eclipfes of the Firft, compared with the Tables, by the Same, ft. 436, JM5- — ■ ■" eclipfed, Obfervations by M. deVIjle , 3731, and 1732, at Petersburg b, ft. 441, 227. Jupiter's INDEX. Jupiter's Satellites , Obfervations of their Eclipfes, by George* Lynn , n. 440, p. 196. K. Kali, Salt of it, #..436, p. 38. Kelly (Mr.) of Foflil Horns in Ireland , n. 444, p . 386. Knives and Forks render’d magnetic by Lightning, 437, t- 74> 75* L* Latitude , Obfervations of it, in a Voyage to Hudfon't-Bay, ; 442, p. 2 jo. Leibnitz (Mr.) his Arithmetical Machine, 438, p . 80. Z• 3I9- Light., produced by communicating Eledrical Attra&ion to^ Animal or Inanimate Bodies, #.436, p. 16, 20, 21. 439> Lightnings of the crooked and angular Appearance of the Streaks or Darts of it, n. 441, 240. — produced Magnetifm, n, 437, p. 74, 75. Liquor, white *, inftead of Serum in Blood, n. 4.4.2, p, 2 89, L'JJle, (Jof. Nicholas de) of a Quickfilver Thermometer,. and Obfervations on the Eclipfes of Jupiter's Satellites, 1731 and 1732, 8.441, p . 22!, 227. Liver-wort , Aflh-colour’d Ground, and black Pepper, a Cure for the Bite of a Mad Dog, n. 443, ^. 319. (James) Experiments concerning the Impregnation of the Seeds of Plants,, n. .440, p. 192. of the Sun and Moon appearing larger near the Horizon, n. 444, p. 404*. — of the crooked and angular Appearance of the Streaks of Lightning, ». 441, p. 240. Longitude of Places to be fettled by Obfervations of the Ait* rorce Bore ales, n. 441, p. 244. Lowther (Sir James ) Air inflammable in a Coal-pit of his, tu 442, p , 282, Luce (hoik) I N D E X. Lucca-oil , cures the Bite of Vipers, n. 443, p. 315. Limes EcltpftSy 051. 2. 1735. iV. S. Vitemberge, n. 443, P- 359* Luna and Venus in Conjunction, n. 442, p. 2 67. Avrcra, , At & A urtrco^K, n. 44 1, p. 249. Lychnis vifcofa , flore mufcofo, C. B. an Herb good to cure mad Dogs. See Stellaria , 0. 443, p. 360. Zy/z/z f George ) Obfervations of Eclipfes of Jupiter's Satellites, 7z. 440, 196.. M. Maccarih , a Sort of Deer, n . 444, p. 389. Machine , Arithmetical, by Mr . Gerjlen, n . 438, p. 79. — — • for changing the Air of a Room, by Dr. Defa- guliers , ?*. 437, p. 41. its Ufes, iWrf. />. 47. A Laurin , ( Colin ) the Defcription of Curve Lines, 0. 439, A 143- Mzi Dog, a Cure for his Bite, 0. 443, 319, 360. — — — an hot Bath good for Perfons bit by one, n . 443, P- 3i9- Madden , (Dr.) Account of what was obferved upon open- ing the Corpfe of one who had taken crude Mercury inter- nally : And of a Plum-ftone lodged in the Rectum, n . 442, p« 291. Madder-root , eaten by Animals, turns their Bones red, 0. 442, Z* 288. n . 443, p. 299. - — and Fig-duft, eaten by a Cock, turn’d his Bones red, 0. 443, p. 300. Madnefs , as in Dogs, known to the Ancients, 0. 441, 249. Magnetic Variation obferved, n. 442, p, 270. Magnetifm produced by Lightning, 0. 437, p . 74, 75. Ato bitten by a 0. 443, p. 313. Maps, Spherical ; of their Conduction and Ufe, n . 440, p. 204. Maud (John) a Chemical Experiment illuftrating the Phe- nomenon of inflammable Air, n. 442, p. 282. Mauroufe, a Sort of Deer , 0. 444, z* 388. Mead INDEX. Mead (Richard) his Cure for the Bite of a Mad Dog, n . 44.3, p- 36°- Meafures , Standard, in the Capitol, n. 442, p. 262. Mercury , its Expanfion by Heat, 441, p. 221. ■ — given to mad Dogs, n. 441, p. 244. . crude, taken internally, its Effeds, n. 442, p. 29 k Z) P • 344, 347- - non facile extrahitur e Plumbo , #. 443, p. 352 . ■ diu digeftus cum Plumbo , dfei/z dijlillatus , nec fixatur nec augetur , 443, p . 356. — extrahitur ex S t anno y fed 4 a/ 7# fixatur, ^.44 3> P- 357- - diftillatus a Phmbo vel Stanno eft quam liquidifimus , 443 » P- 358. — Auro diftillatus 250 vicibus , £2? lotus dat Pulverem fufcum, n. 444, p. 373. - — ; diftillatus 627 vicibus fine Lotione Materies nigrefcebat, n. 444, p. 374. • * majore igne aftus exiit purijfmus , — — — — 777 vicibus ab Auro diftillatus ponder ab at adaquam pur am ut 13 ~ <2^ 1, iWrf. • — r/wz fixandi nulla ftpes, n. 444, p. 375. • —-777 vicibus ab Auro diftillatus poteft adhuc verti in Pr’secipitatum per fe, 444, p. 376. Metals , an Inftrument to meafure their Expanfion by Heat, *• 443, 297. Meteorologicce Obftfadke Vitembergse 1733, 441? p. 238, and 1734, #. 441, p. 266. Microfcope , a Catoptric, 0. 442, p. 259. Middleton ( Chriftopher ) Obfervations of the Latitude, Vari- ation of the Magnetic Needle and Weather, in a Voyage to Hudfon's-Bay 1 735, 442, p. 270. Mines, of Damps in them, 77. 442, p. 281. Hhh Mm I N D E X. Mines (or Goal-pits) a Method of conveying frefh Air, n. 44 4> t- 3$2- . • ' ' Moon horizontal , why it leems bigger, than when more elevated, n, 444, p- 390, 392, 404. — — Eclipfes, See Luna , n. 443, p. 359. Moray (Sir Robert ) of a Plant to cure Dogs bitten by mad Dogs. (See Lichen cinereus ter refir is) n. 443, 360. Morland (Sir Samuel) his Arithmetical Machine, n . 438, p. 79- Mortality, Bills of, at Stoke -Darner ell, n. 439, p. 171. Mortimer (Cromwell) Account of Catesbf s Natural Hiftory of Carolina and the Bahama Iflands , 438, p. 112. 441, p- 25 1.. Narration of the Experiments made on a Man, and on other Animals bitten by Vipers % with a Cure for the Bite of the Viper , and for the Bite of a mad Dog, 0.1 443, A- 3*3- - _ the hot Bath good for Perfons bit by mad Dogs, n. 443, y>. 319. _ of the foflil Deers Horns found in Ire- land, n. 444, p- 389. N. Navel-Rupture , how cured, n. 443, p. 338, 341. New-Englandi Earthquake there, n, 437, p. 63. — • — — of the Moofe-Deer there, n. 444, p. 384. Newton (Sir Ifaac) of Fluxions and Infinite Series, apply’d to the Geometry of Curve Lines, n. 443, p. 320. Noife, produced by Ele&ricity, n. 439, p . 169. O. Oil of Olives , cures the Bite of Vipers , n. 443, p. 313. — — — — — of Rattle\ fnakes? n. 443, p. 318. • -- Sting of Scorpions , n. 443, 318. —of Vipers, See Viper, n. 444, p. 396. Oliver ( William ) his Cure for the Bite of Vipers , 443, , P- 3*3- Ollaria , 44 1 , jp. 2 1 2* Omentum > - 1 N D E 'X ■ Omentum , better not to tie its Veffels, except they be very large, when any Part of it is to be amputated, n . 443, P- 342. * Oundle, Obfervations of Eclipfes of Jupiter’s Satellites made near there, n. 440, p. 196. P. Palm of the Architects, n. 442, p. 263* Paraguay T ea, n, 441, p. 258. Pafchal ( Charles ) his Arithmetical Machine, ». 438, p. 8o« Patrick (John) his Thermofcope, n. 442, p. 280. Pendulous Bodies by Electricity making Revolutions from Weft to Eaft, n. 441, p . 220. 0. 444, p . 400. Pendulums , Experiments on their Vibrations, ». 440, p. 20 i. Pepper , black, and Ground Liverwort , good for the Bite pf a mad Dog, 0. 443, p. 319. -Pidgeon , bit by ?l Viper, n. 443, p. 216. P*0 in an Inguinal Rupture, 0. 443, p. 329. Planes , reflecting, combined with transparent Lens’s^ n. 440, p. 185. Planetarium (Mr. Gra/s new Electrical) 0. 444, p. 403. Plants, a Catalogue of 50, for the Year 1733, by 0. 436, p. 1. for the Year 1734., by the Same, 0. 440, p. 173. — - — of the Impregnation of their Seeds, 0. 440, p. 192. Planudes (Max.) his Numerical Figures, 0. 439, p. 127. Plum-fione lodged in the Coats of the Rectum, n . 442 ,p. 291, Pohano, a Sort of Deer, 0. 444, p. 389. Polarity , alter’d by Lightning, 0. 437,^. 78. Poleni (Job. Marchio) his Arithmetical Machine, 0. 438, p. 80. Potato's , Virginian, n. 441 , p. 258. Powder for the Bite of a mad Dog, Dumpier’ s, 0. 443, p. 319. Mead’s, ibid. p. $60. Mortimer’s, ibid. Sloane’s , iKrf. p. 319. Pulvis Antilyjjus, n. 443, p. 319, 360. Hhh 2 Pulvis I N D E X. Pulvis fufcus e Mer carlo ab Auro difiillato , lotione eduftus, vi ignis revivifcit , n. 444, p. 374. Pyrometer . See John Ellicott , 0. 443, p. 297. . Quadrants , by Hadley , Smith, Elton , 0. 442, 280. R. Rabies canina known to the Ancients, 0. 441, p. 249. Rand (Ifaac) a Catalogue of 50 Plants for the Year 1733, . 0. 436, p. 1. for the Year 1734, ft. 440, />. 173. Rattlesnake defcribed, 0. 441, 252. . —Olive- oil, probably a Cure for its Bite, n. 443, P- 3 >»• . . Reftum, a Plum-ftone lodged in its Coats, 0. 442, p . 291. Remora , not able to flop a Ship, 0.438, p. 113. Refpiratione {in) effeftus perforationis Thoracis , 0. 441, p. 231. . Revillas ( Didacus de) Obf. Eclipfi Tellur is, Romce , 3. . 1734, iV. S. 0. 442, p. 294. U— Halo obf. Romce , 11. 1732, . 0. 438, y?. 118. Revolutions from Weft to Eaft, made by pendulous Bodies, . by means of Eledlricity, 0. 441, 220. 0. 444, p. 40Q. . Reynell (Richard) the Cafe of a Cataleptic, Woman, 0.437,. p. 49. Richmond* (Charles Duke of) of an Earthquake in Suffix, Oft. 25. 1 734, 0* 444, A 3^-. Rupture , Inguinal, with a Pin in it* 0. 443, p. 329. Navel, how cured,. 0. 443, p. 338, 341. S. Bofco (Job. de) his Numerical Figures, 0. 439,. p. 127. Polychrejlus Rupellenfis , 0. 436, ^. 37. ■ — Sedativum , its Preparation', 0. 436, p. 39. Refufcitantes Mer curium ex Plumbo extrahere nequeunt , 0. 443? 355- Sallad-oil , cures the Bite of Vipers, 0. 443, p. 313. W/ of JEi/i, 436, 38. Seiurus r n d e x; Sciurus Americanns volans, n. 444 , p. 389. Scorpions , their Sting cured by Olive-Oil , ». 443, p. 31^ Smfr of Plants, of their Impregnation, n. 440, p. 192. Seignette (Mr.) his Sal Polychreftus Rupellenfisy n. 43d, , P- 37- Seneca's Notes, for Numbers, ». 439, ^.124. SmVi Infinite , Sir Newton of them, 0. 443, p. 320; Serum in Blood, a white Liquor in its Head, n. 442 yp. 289*, £&*//, I’ortoife-, n. 438, p, 117. Sloane (Six Hans) his Cure for the Bite of a mad Dojg, n- 443 > f3!9* (Caleb) his Quadrant, n. 442, p . 280. Snake and the Difference, 441, 251. Soldier-crab , 438, 1 1 5. Solis Eclipfis, Romae, Mzzi 3. 1734, iV. S. n . 442, p. 294. Southwick , Obfervations of Eclipfes of Jupiter's Satellites at, , 440, 196. Spherical Maps. See Maps, ». 440, p. 204. Squirrel , flying, #.444, y>. 389. Staiolo , a Meafure, /z. 442, p . 263. Star of the Earth , See Stdlaria y zz. 443, 360c St ell aria 1 an Herb good to cure mad Dogs, ffeW. Sterling (James) of the Figure of the Earth, and the Vari- ation of Gravity on the Surface, zz. 438, p , 98. Stoke-Damerell , Births and Burials there, ».• 439, p. 171. Stam on 8, 1734-5. Obfervations on it, zz. 4429 p. 285. S7w/ (Alexander) of a white Liquor, like Milk, in the Room of Serum, after Blood had flood fome time, n * 442, p. 289. Sucking- fijh. See Remora, n. 438, />. 113. S#zz, its Adtion the original Caufe of the Trade- winds, , n- 437- P- 58. »■ -—and Moon, why they appear larger, when near the Horizon, n. 444, p . 404. L” 'Eclipfed, See Solis, n . 442 , 2^4., I N D E X. T. mars, how they pafs through the PurSa Lacrymalia, n. 437, P- 66- Tellur is Eclipfis , n. 442, p. 294. vide Solis Eclipfis . Tefludo marina, n. 438, p . 116. Thames River, an high Tide in it, n. 440, p . 198. ! thermometer , ? u . 198. Tortoife , £?#-, 77. 438, p. 116. Tortoife-Jhell , what, 72.. 438, p. 1 17. Trade-winds , theCaufeof them, 72. 437, p. 58. STriewald ( Martin ) an Improvement of the Diving-Bell, ^ 444? P- 377*. Turpeth Mineral given to mad Dogs, 72. 441, p . 246. Turtle. Set Sea -Tortoife, n. 438, p. 116. fZjyrtf’j Notes, for Numbers, 72. 439, p. 124, V. (Abrahamus) Examinatio Fdtri Lapidis Mexicanis n. 438, p. 106. — — * — — — —Affeflus cutaneus fingularis, n. 440, p. 1 99. Variation of the Needle, obferved in a Voyage to Hud fort s- ifoy, 72. 442, p. 270. , < Venomous Bites, Cures for them, 72. 443, p . 319. ■■Venus and £22/2# in Conjunction, 72. 442, y?. 267. .Viper and Snake, the Difference, 72. 441, p. 251. ► the Effects of its Bite on a Man and other Animals, 443* P- 3J3- ——a Remedy for its Bite, 72. 443, p. 313, 315. ~ will not bite one’s Hand when fmeered with Oil* 444? p- 398' Viper-oik I N D E X. Viper its Effects againft the Bite of a Viper, n. 444* p. 396. Virginia , a Sort of Beer there, n. 444, p. 387. Fit ember gee Jaffa Obf. Aftronom. Meteorolog. & Phyjic . 1733. n. 441, p. 238. and 1734* n. 442, 266. VulcamPs , aCaufeof them, /z. 442, p. 284* W. Wallis (Dr.) of an ancient Date, 0. 439, p. 120. miftaken, zWJ. p . 129. Wampam , Indian Money, zz. 441, p> 258. Wampoofe , a Sort of Moofe-Oeer , zz. 444, p. 385. . Ward {John) Remarks upon an ancient Date found at Widgell-hall , zz. 439, p. 119. and of another at Worcefter, ibid . 136. — ■ (William) his Quadrant, zz. 442, p. 280. (Jofeph) of an Earthquake in Northamptonshire, Off. 10, 1731, #.444, p. s6y. Water-Armour , its Dangeroufnefs, zz. 444, _/>. 377. — an Ebullition and Eight produced in it by Electricity, , »• 43 6, P- 24* 439? />• i68- Weather , Obfervations of it, in a Voyage to Hudfon's-Bay, n . 442, p. 270. Weeping , after the Fiftula Lacrymalis, how caufed, and how prevented, 0.437, jp. 55, 57* Weidler (Joh.Frid.) Obf. Aftronomtece, Phyficce ■& Meteoro- logies Vitemberg tq faffs, 1733, ». 441, 238. and 1734, 442, />. 266. • Obf Eclipfeos Luna, Off. 2, 17355 , Vitembergae, zz. 443, p. 359. Wheel, A, for changing the Air in a Room, zz. 437, p. 41, (John) his Cafe, of Milk inftead of Serum, n. 442, . p. 289. Widgell-Hall , an ancient Date there, *2.439, P* 119. Winds, Trade, their Caufe, n. 437, p. 58,] Woman bit by z Viper, n . 444, p. 396. Womb INDEX. Wombolz Woman, a bony Subftance found in it, ». 440, p. 189. Worcester y an ancient Date there, n. 439, p . 132, 136. Wounds in the Guts, Obfervations of them, n% 443, 336. Y# Tapon> a Sort of Tea, «. 441, p, 258. PHILOSOPHICAL TRANSACTIONS. giving some O F T H E Prefent Under takings. Studies , and Labour s, OF THE INGENIOUS, IN MANY Confiderable Parts of the WORLD. VOL. XL. For the Years 1737, 1738. With a Supplement, being the Croonean Lectures on Mufcular Motion, for the Year 1738. L O N T> O N: PrintedforT. Woodward, at the Half- Moon, between the Temple-Gates in Fleetjireet s and C. Davis in Tater- nojter-row i Printers to the Royal Society. M.dcc.xli.