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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 135

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 135
and BG the base. Produce AB to C, making BG equalto AB^ and complete the rectangle BOBG, and let the seml-.cyclold GPG be generated by a circle, whose diameter Is equalto that of the generating circle of the given cycloid, rolling onGB; G being the vertex, GB the axis of this cycloid. Let SPE^ SPPi… … By the mode of generation, arc SP=8Cy and arc SPR=BC] .. arcPR = BS=^CR = arcPR, .\ L P8R = L PSR; and P8P is a straight line. Also, arcP>S=arcP/S; /. chd.P>S=chd.P/S; .. P8P= 2P8= PC the cycloidal arc; also PSP touches the cycloid (7PCatP; therefore, a string fixed at G\ and wrapped over the…

Mechanics · Celestial mechanics

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More pictures 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

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