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 242
st be drawn from rest bythe action of the force at P continued constant, in orderthat the velocity V may be generated ; therefore since theabsolute force is given, PU is given. Draw PG perpendicular to PY, and PR so that HP, or HP produced, andSP make equal angles with PG. Draw UG perpendicularto… … 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…
Mechanics · Celestial mechanics
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