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published from the originals in the library of Trinity College, Cambridge; together with an appendix containing other unpublished letters and papers by Newton; with notes, synoptical view of the philosopher's life, and a variety of details illustrative of his history, by J. Edleston.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published from the originals in the library of Trinity College, Cambridge; together with an appendix containing other unpublished letters and papers by Newton; with notes, synoptical view of the philosopher's life, and a variety of details illustrative of his history, by J. Edleston.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.
175/430 (page 69)
![by its Vis inertias, & therefore it will be supposed that You do in this place so estimate it: but if materia be here taken in this sense the Objection will not be obviated. Perhaps wrth some alteration of my words, which You may be pleased to make, the addition may stand thus [Hoc ita se habebit si modo magnitudo vel extensio materiae in spatiis plenis, sit semper proportionalis materiae quantitati & vi Inertiae atq: adeo vi gravitatis: nam per hanc Proposi- tionem constitit quod vis inertiae & quantitas materiae sit ut ejusdem gravitas] In the xixth Proposition pag. 422. lin 9 I will put [l ad 289] & in line 13th [ut 289 ad 288] in line 15th [289], in line 16th [288] according to Your former directions*. In the 25th & 28th lines I would omit ye fractions & write [ut 126 ad 125] & [ut 125 ad 126] : for my computation makes the former proportion to be 126,44024 ad 125,44024 & the latter to be 124,80397 ad 125,80397- In Page 423 line 11th I would put [hae tres rationes 126 ad 125, 126 ad 125-J, & 100 ad 101 ]. Ib. lin 27th [ut 1 ad 289]. lin 28th [est tantum Pars 2lhr] 31st [vis centrifuga ^i_] in ye last line [pars tantum ^rry]. Page 224, line 1st I would put [per polos 230 ad 229] & ye rest accordingly taking the measure of a mean degree to be 57230 Toises. In the xxth Proposition, page 425, line 8th, You have altered thus [Unde tale conht Theorema—vel, quod pe- rinde est, ut quadratum sinus recti Latitudinis. Et in eadem eirciter ratione triplicataj- augentur arcus graduum Latitudinis in Meridiano. Ideoq: cum Latitudo Lutetiae &c.] I think the word triplicata ought to be omitted: it should be [Et in eadem eirciter ratione augentur arcus graduum &c]. I suppose by some inadvertency the mis- take arose from this, That the degree under ye ^Equator is * In letter of Feb. 12. t In Newton’s MS. the word is trip lice (No. 138.)](https://iiif.wellcomecollection.org/image/b28738317_0177.jp2/full/800%2C/0/default.jpg)