A Short Comment on Sir I. Newton's Principia: Containing Notes Upon Some Difficult Places of that Excellent Book

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J. Nourse, 1770 - 153 pagine
 

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Pagina 132 - For while comets move in very eccentric orbs in all manner of positions, blind fate could never make all the planets move one and the same way in orbs...
Pagina 121 - Newton found out this enormous effect by comparing the fun's force with the centrifijgar force of the earth. This has been anfwered before ; and certainly this Gentleman knows little about the nature of forces, if he does not allow that two equal forces, of however different kinds, will always have equal effects ; and proportional forces proportional effects, efpecially in their nafcent ftate ; for it is not the kind but the quantity of force that is to be regarded : therefore Newton rightly found...
Pagina 121 - And would not he equally deferve to be laughed at, that fhould hefitate to calculate the motions of the moon, or of the earth and planets, or of the tides, upon the fame account, when they are all acted upon by the fame unknown caufe of gravity ? But, to return to the tides. This gentleman (Euler) tells Us, that Newton's method is erroneous, by which he found the fea to rife to the height of near two feet, by the fun's force only ; and fays, that Newton found out this enormous effect by comparing...
Pagina 61 - AA = excefs of time by defcribing B with refiftance AB, therefore it follows that excefs of time in A. : to excefs of time in B : : as A : to B nearly. In prop.
Pagina 117 - ... inftead of feeking the fimpleft caufes ; and they feem utterly to reject all fimple caufes, which are the greateft beauty of nature ; for if their brains were not turned round in a vortex* they could never prefer thefe complex vortical fchemes before the fimple doctrine of projectile and centripetal forces. Such Philofophers ! Sir Ifaac Newton had fhewn, in the fchol, of prop. 14, b. III. that the aphelions of the interior planets move a little...
Pagina 131 - Queries, it does not appear that there is a Being, Incorporeal, Living, Intelligent, Omniprefent; who in infinite Space, as it were in his Senfory, fees...
Pagina 118 - He thinks afcribing thefe effects to the actions of the fun and moon is recurring to occult caufes, and therefore he had rather recur to vortexes for the explanation thereof, the notion of which has been confuted over and over. He denies the gravitation of bodies towards one another, becaufe he cannot difcover the caufe of gravity ; and therefore he will not allow it to have any thing to do with the matter, as being an occult quality. But he recurs to a principle that is more than occult, his incomprehenfible...
Pagina 123 - ... accuracy. However, this is certain, — that, if any place can be improper for fuch an experiment, this place is, by reafon of the very extraordinary tides; for here the tide, being hurried up a long channel growing continually ftraighter, is forced up to an unufual height.
Pagina 4 - Treatife was written many years fince ; for when I ftudied the Principia, I was frequently at a flop, which obliged me to make calculations here and there as I went on ; and, when I had done, I fet them down as notes upon thefe places ; wherein I only meddled with thofe places that appeared difficult to me. Thefe notes collected together are the fubject of the following Comment ; and I have revifed the whole, and added feveral things that feemed wanting.

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