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 58
der o 2 i f r j AH = - volume of cylinder x : o 2 2.. = - volume of paraboloid x AH; hence the distance of the center of gravity of the paraboloid fromthe vertex is two-thirds of the height of the paraboloid. 5. Area of a cycloid. Let P, P be two points very near each other in a cycloid,Q, Q… … and triangle pRR : triangle pPS :: 1 : 4, ultimately. 40 NEWTON. Also BQT=pRR, ultimately, since BQ, ^Tare equal andparallel to pR, pR j /. ABQT : kpPS :: 1 : 4, ultimately,and&BQT : trapezium PERS :: 1 : 3, ultimately, and the same being the ultimate ratio of all the inscribed triangles, and…
Mechanics · Celestial mechanics
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