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published from the originals in the library of Trinity College, Cambridge; together with an appendix containing other unpublished letters and papers by Newton; with notes, synoptical view of the philosopher's life, and a variety of details illustrative of his history, by J. Edleston.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
Catalogue details

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published from the originals in the library of Trinity College, Cambridge; together with an appendix containing other unpublished letters and papers by Newton; with notes, synoptical view of the philosopher's life, and a variety of details illustrative of his history, by J. Edleston.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.

    178/430 (page 72)
    les corps a gelee, les mettoit ensuite aupres du feu] or near the fire. By my computation the observation at Guada- loupe reduced to the ^Equator gives the difference of 2,29 lines, that at Martinique 2,31 lines, exceeding Your limit of 2^ lines; the rest fall within Your limits. After [auctus in ratione differentiarum fiet milliarium 32] I would add [& diameter secundum sequatorem erit ad diametrum per polos ut 123 ad 122] for as 1,07 to 2 so is to Speaking of the Shadow of the Earth in Lunar Eclipses You say [diameter ejus ab Oriente in Occidentem ducta, major erit quam diameter ejus ab Austro in Boream ducta excessu 56 fere] I think it should be 4l; for the mean Horizontal Parallax of ye JMoon in Syzygiis being 5l'. 30, the Parallax of ye Sun 10, & the Suns mean diameter 32'. 12; the diameter of ye Shade will be 4988, add 70 upon account of the Atmosphaere & the diameter will be 5058, which divided by 123 gives 4l. At the end of this Paragraph You have [Et distantia mediocris centrorum Terrae & Lunae erit 60^- semidiametrorum Terrae] which I do’nt well understand. In ye last Paragraph You have [et Pendula isochrona longiora forent in Observatorio Regio Parisiensi quam ad dEquatorem excessu semissis digiti cir- citer] I suppose it should be [longiora forent ad iEquatorem quam in Observatorio] And a little lower You have [Sed & diameter umbrae Terrae —major foret—excessu 2'. 45 seu parte duodecima diametri Lunae] I think it should be [excessu 2', seu parte decima sexta diametri Lunae] In the Memoires of the Royale Academic for the Year 1708 there are one or two observations of the lengths of Pendulums, besides those which You have related in Your History from other Memoires & from the Observations faites en plusieurs voyages. Taking ye semidiameters of the Earth to be as 229 & 230 instead of 228 & 229, 1 have made a small alteration in Proposition xxxixth which I will not trouble You with since