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published from the originals in the library of Trinity College, Cambridge; together with an appendix containing other unpublished letters and papers by Newton; with notes, synoptical view of the philosopher's life, and a variety of details illustrative of his history, by J. Edleston.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published from the originals in the library of Trinity College, Cambridge; together with an appendix containing other unpublished letters and papers by Newton; with notes, synoptical view of the philosopher's life, and a variety of details illustrative of his history, by J. Edleston.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

    186/430 (page 80)
    conjunctionem novissimam. If it be so in yours, the word novissimam is better omitted. I thank you for explaining yor objection against ye third Corollary of the sixt Proposition. That Corollary & the next may be put in this manner. Corol. 3. Spatia omnia non sunt sequaliter plena. Nam si spatia omnia sequaliter plena essent, gravitas specifiea fluidi quo regio aeris impleretur, ob summam densitatem materiae, nil ce- deret gravitati specificae argenti vivi vel auri vel corporis cujuscunq : densissimi, et propterea nee aurum neq: aliud quodcunq : corpus in aere descendere posset. Nam corpora in fluidis, nisi specifice graviora sint, minime descendunt. Quod si quantitas materiae in spatio dato per rarefactionem quamcunq : diminui possit, quidni diminui possit in infini- tum ? Corol. 4. Si omnes omnium corporum particulae solidao sint ejusdem densitatis neq: absq: poris rarefieri possint, Vacuum datur. Ejusdem densitatis esse dico quarum vires inertias sunt ut magnitudines. Corol. 5. Vis gravitatis diversi est generis a vi magnetica. Nam attractio magnetica non est ut materia attracta. Corpora aliqua magis trahuntur, alia minus, plurima non trahuntur; Et vis magnetica in uno et eodem corpore intendi potest & remitti, estq: nonnunquam longe major pro quantitate materiae quam vis gravitatis, et in recessu a magnete de- crescit in ratione distantise non duplicata sed fere triplicata quantum ex crassis quibusdam observationibus animadver- tere potui*. In the tenth Proposition pag. 417 lin 11 for [viginti et unius] read [triginta.] & lin. 12 for [320] read [459] & lin 17 for [800] read [850]. * At the meeting of the Royal Society two (lays afterwards, Newton proposed that llalley and Ilauksbee should make experiments with “the great loadstone,’ in order to find the true law of the decrease, “which he believed would be nearer the cubes than the squares.” See also Journal Bonk, March 27, Apr. 3, May 15, Jun. 12, 26. Phil. Trans. Jul Sept. 1712. June—Aug. 1715. Coulomb's experiments with the Torsion Balance first established the law to be as the squares.