Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems (1863)
Newton, Isaac, Sir, 1642-1727, Frost, Percival, 1817-1898 · Cambridge, London, Macmillan and Co · leaf 149
it will proceed to describe the same orbit in the reversedirection, under the action of the same forces. For, let ABC be a portion of the polygon whose limit isthe curvilinear path of the body, and produce AB to c, andCB to a, making Be = AB, and Ba = CB. NEWT. K 130 NEWTON. The impulse at B is… … throughout the polygonal path, hence the assertion is truefor the whole path, described under the action of impulses whichare always the same at the same points, and therefore proceeding to the limit, the statement made for any orbit is proved.Hence, since the forces are equal at equal distances…
Mechanics · Celestial mechanics
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