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published from the originals in the library of Trinity College, Cambridge; together with an appendix containing other unpublished letters and papers by Newton; with notes, synoptical view of the philosopher's life, and a variety of details illustrative of his history, by J. Edleston.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published from the originals in the library of Trinity College, Cambridge; together with an appendix containing other unpublished letters and papers by Newton; with notes, synoptical view of the philosopher's life, and a variety of details illustrative of his history, by J. Edleston.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.
176/430 (page 70)
![to ye degree under the Pole as CP cub to CA cub (fig: page 422). This proportion is no where mentioned in Your additional papers, but I guess You designed to have added it or something to ye same effect to make Your Rule compleat for finding the measure of a degree under any Latitude. When I was formerly upon this place I made the fol- lowing alteration in order to examine the numbers of Your Table. [Unde tale confit Theorema, quod incrementum ponderis ut et mensurse gradus unius in Meridiano per- gendo ab Equatore ad Polos sit quam proxime ut sinus versus latitudinis duplicate, vel, quod perinde est, ut quad- ratum sinus recti latitudinis. Nam si M ponatur pro AB x PQ cub - PQqq __ ABqq - PQqq — » N Pro ViT > & 0 P™ ABqq ABqq - (vid: fig: p. 422) erit gravitas sub Equatore ABq ad excessum gravitatis in alio quovis loco cujus sinus rec- M tus latitudinis est S existente R radio, ut 1 ad - SS RR MN M MNN „ + 1FS +~R^& +&c- Meridiano ad Equatorem, Mensura vero gradus unius in erit ad excessum ejus in alio loco ut l ad 30 2 RR SS + 3 x 5 00 2x4 7?1 s* + 3 x 5 x 7 O3 or . SG + &c 2 x 4 x 6RG Itaq: cum sit AB ad PQ ut 230 ad 229, & Lutetiae Parisi- orum in latitudine 48gr. 50' longitudo penduli singulis minu- tis secundis oscillantis sit pedum trium Parisiensium & linearum 8^ ; longitudines vero pendulorum aequalibus temporibus in locis diversis oscillantium sint ut gravitates : longitudo penduli sub iEquatore erit pedum trium & linearum 7,48, sub Polo erit pedum trium & linearum 9,39: mensura vero gradus unius ad .Equatorem erit Hexapeda- rum 56783, ad Polum erit Hexapedarum 57530, si modo inter gradus latitudinis 48 & 49 ponatur esse Hexapedarum 57200. Et simili computo confit Tabula sequcns.]](https://iiif.wellcomecollection.org/image/b28738317_0178.jp2/full/800%2C/0/default.jpg)