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 51
f revolution generated bythe curve in which a . PM2 = b2. A M - AM3, round the line alongwhich AM is measured, PM being perpendicular to AM. 11. Find the area of an hyperbola intercepted between thecurve, an asymptote, and two ordinates parallel to the otherasymptote. Shew that, if OAB be the first… … LEMMA II, III. 33 Shew that the area ABE varies as ffG, where GK is the ordinate equal to BE of the circle Clf, whose centre is F, and radiusFC. 13. In the curve of the last problem, shew that the ratio of thearea ACD to the triangle whose sides are AD, and the tangentsAT, DT at the extremities, is…
Mechanics · Celestial mechanics
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