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published from the originals in the library of Trinity College, Cambridge; together with an appendix containing other unpublished letters and papers by Newton; with notes, synoptical view of the philosopher's life, and a variety of details illustrative of his history, by J. Edleston.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published from the originals in the library of Trinity College, Cambridge; together with an appendix containing other unpublished letters and papers by Newton; with notes, synoptical view of the philosopher's life, and a variety of details illustrative of his history, by J. Edleston.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

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    formerly made use of 32'. 15. I propose these alterations. [Satellitis extimi Jovialis tempus periodicum dierum 16 & horarum 16^] Pondera ad scquales distantias a centris Solis, Jovis, Saturni ac Terras 1. l 1033 ' 1 1 2411 ’ 227512’ Semidiametri Solis, Jovis, Saturni ac Terras 10000. 1077. 889. 104. Pondera ad superficies Solis, Jovis, Saturni ac Terras 10000. 835. 525. 410. Densitates Solis, Jovis, Saturni ac Terras 100. 78. 59. 396*. The xiith Proposition may be altered thus [Nam cum, per Corol. 2. Prop vm. materia in Sole sit ad materiam in Jove ut 1033 ad 1, & distantia Jovis a Sole sit ad semi- diametrum Solis in ratione paulo majore ; incidet commune centrum gravitatis Jovis & Solis in punctum paulo supra superficiem Solis. Eodem argumento cum materia in Sole sit ad materiam in Saturno ut 2411 ad 1, & distantia Sa- turni a Sole sit ad semidiametrum Solis in ratione paulo minore : incidet &c.] The xmth Proposition may be altered thus, pag. 419. 1: 18 [ut 1 ad 1033]. lin: 21. [ut 81 ad ifix 1033 , • •, -1 i» , ro 16 x 81 x 2411 seu 1 ad 204 circiter] lm : antepenult. [& — 25 * All the figures which Cotes proposes in this paragraph, duly appear in their places in the first three Corollaries of Prop, vm., in the 2nd Edit., though Newton in his answer to this Letter takes no notice of his suggestions with respect to them. Cotes has made about half a dozen other alterations (adopted in the 2nd Ed.) in the MS. of the four Corollaries of this 8th Prop., which are not noticed in this rough draught, though some of them would probably be mentioned in the letter actually sent. The most important of them are the following, (Nos. 133, 134) : In Cor. 1. The last sentence is, ‘‘Pondera corporu in superficie Lunae fere duplo minora esse quam pondera corporum in superficie Terras dicemus in sequentibus,” as it stands in the 1st Ed. Cotes has altered it to “ Quanta sint pondera corporum in super- ficie Lunae dicemus in sequentibus.” In Cor. 3, the words “ Densitas Terrae hie posita non pendet a parallaxi Solis, &c.” are altered to “ Densitas Terrae qua prodit ex hoc computo non pendet, &c.” In Cor. 4, Newton had written “ Sed et densiores sunt Planetae, caeteris paribus, qui sunt Soli propiores; ut Jupiter Saturno, et Terra Jove. Oritur utiq: densitas ma- teriae ex calore solis earn decoquentis. Et collocandi erant Planetae in diversis a Sole distantiis ut quilibet pro gradu densitatis calore solis majore vel minore frueretur.” Cotes has drawn his pen through the words “ Oritur Planetae,” and has altered the last clause to “ In diversis utiq : a Sole distantiis collocandi erant Planetae, ut quilibet, &c.” In the 1st Ed. the last clause runs thus : “ Collocavit igitur Deus Planetas in diversis distantiis a Sole vel minore fruatur.”