Correspondence of Sir Isaac Newton and Professor Cotes : including letters of other eminent men, now first published from the originals in the library of Trinity College, Cambridge; together with an appendix containing other unpublished letters and papers by Newton; with notes, synoptical view of the philosopher's life, and a variety of details illustrative of his history, by J. Edleston.
- Isaac Newton
- Date:
- 1850
Licence: Public Domain Mark
Credit: Correspondence of Sir Isaac Newton and Professor Cotes : including letters of other eminent men, now first published from the originals in the library of Trinity College, Cambridge; together with an appendix containing other unpublished letters and papers by Newton; with notes, synoptical view of the philosopher's life, and a variety of details illustrative of his history, by J. Edleston. Source: Wellcome Collection.
173/430 (page 67)
![cum corporis P directe &c] as you well observe, & not [ut quadratum temporis periodici] as it is now printed. In the xxxixth Proposition these emendations may be made. Pag. 470 lin 26 [ad diametrum majorem AC ut 228 ad 229) ut 51984 ad 457 seu 11375 ad 100.] Pag 471 lin 1 [ut 100 ad 11375 et 1000000 ad 925275 conjunctim, hoc est, ut 1000 ad 105042, ideoq: motus annuli esset ad summam motuum annuli et globi ut 1000 ad 106042.] Ib. lin 7 [ut 1000 ad 106042;] Ib. lin 10 [ut 1436 ad 39343 et 1000 ad 106042 conjunctim, id est, ut 1 ad 2919* Ib. lin. 20 [eva- deret minor quam prius in ratione 2 ad 5. Ideoq: annuus aequinoxiorum regressus jam esset ad 20° ll' 46 ut 1 ad 7298, ac proinde fieret 9 57' 42 .] Pag 473 lin 27 [Cum igitur inclinatio ilia sit 23^ graduum, diminuendus est motus 9 57' 42IV in ratione sinus 91706 (qui sinus est com- plementi graduum 23-4) ad radium 100000. Qua ratione motus ille jam fiet 9 8' 8IV. And a little after. Praeces- sio a vi Lunae oriunda 43. 4'. 4IV4, ac tota Praecessio annua a vi utraq: oriunda 52 12'. 13IV. Si vis Lunae ad Mare movendum esset ad vim Solis ut 41 ad 1 (nam proportio harum virium nondum satis accu- rate ex phaenomenis definire licuit) prodiret annua aequi- noxiorum praecessio 50 14'. 45IV. Quae cum phaenomenis congruit. Nam praecessio ilia ex observationibus Astrono- micis est vel 50 vel 5l circiter. Si altitudo Terrae ad dEquatorem superet altitudinem ejus ad polos milliaribus plusquam 17, materia ejus rarior erit ad circumferentiam quam ad centrum, et praecessio aequinoxiorum ob altitudinem illam augebitur & vicissim ob raritatem diminuetur. Descripsimus jam systema Solis Terrae et Planetarum : superest ut de Cometis nonnulla adjiciantur. ffor obviating the objection you make against the 3d Corollary of Prop, vi Lib. hi, you may add to the end of that Corollary these words. Hoc ita se habebit si modo ma- 5—2](https://iiif.wellcomecollection.org/image/b28738317_0175.jp2/full/800%2C/0/default.jpg)