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)
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. … In this case, with >S and H as foci, and SP + PRasmajor axis, describe an ellipse, then PUh half thechord of curvature at P through S. III. If P?7 be greater than 2SP lSGP is less thanlSPG, and angles SGP, HPG are together less than PROP. XVIT. PROBLEM IX. 239 two right angles, therefore GS…
Mechanics · Celestial mechanics
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