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Newton's principia, first book sections I, II, III, with notes and illustrations and a collection of problems, principally intended as examples of Newton's methods (1900)

Newton, Isaac, Sir, 1642-1727, Frost, Percival, 1817-1898 · London, Macmillan · leaf 257

An illustration from Newton's principia, first book sections I, II, III, with notes and illustrations and a collection of problems, principally intended as examples of Newton's methods, 1900, leaf 257
he force at P con-tinued constant, in order that the velocity V may begenerated; therefore since the absolute force is given,PC/is given. Draw PG perpendicular to PZ, andPPI so that HP, or HP produced, and SP makeequal angles with PG. Draw TJQ perpendicular toPG and join SG. * Tait, R.S.E., 67-68.… … In this ease, draw GL perpendicular to PB^ and with8 as focus and 2PX as latus rectum, describe aparabola whose axis is in the direction SG. Then PU is half the chord of curvature at P through S. II. IfPZ7be less than 2SP, iSGPis greater than ^ S P Gor lSIG, therefore JSG produced meets PHm H.

Mechanics · Celestial mechanics

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