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 63
the paraboloid by referenceto the same triangle. 5. Find the mass of a straight rod, whose density varies as thesquare of the distance from the extremity, by comparison with a conewhose axis is the rod. 6. Find the volume of a paraboloid generated by the revolutionof a semi-cubical parabola, in… … Prove that, pqsr being the projection of the inscribed parallelogramPQSR, pqsr : PQSR :: cos BAG : 1, and deduce the proposition by Lemnia IV. 8. P is any point of a curve OP, OX, 0 T any lines drawn atright angles through 0, PM, PN perpendicular to OX, OY respectively. Prove that, if area 0PM :…
Mechanics · Celestial mechanics
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