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 243
In this case, draw GL perpendicular to PS, and with S asfocus, and 2PL as latus rectum describe a parabola, whoseaxis is in the direction SG. 224 NEWTON. Then PU is half the chord of curvature at P through 8. II. If PU be less than 2SP, * SGP is greater than * SPGor ^ HPGj therefore SG produced… … In this case, with 8 rnd H as foci, and 8P+ PH as major axis,describe an ellipse, then PU is half the chord of curvatureat P through 8. III. If PZ7be greater than 2SP * SGP is less than * SPG,and angles SGP, HPG are together less than two rightangles, therefore GS produced meets PHm H.
Mechanics · Celestial mechanics
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