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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 108

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 108
that point to that ofany circle whose radius is finite, is a finite ratio. 65. The curvature of a circle is the same at every point. Let A^ a be any two points on a circle, AG^ ac equal tan-gents at A^ a, GB^ ch subtenses perpendicular to the tangents,OD^ Od perpendicular to the subtenses produced;… … the circle has the same curvature at any two points^ QQ. In different circles the curvatures vary inversely as theradii. In the last figure, produce GB to the circumference In E.Then, AG^= GB. GE; also, If A G be a tangent to another circle,and AG be taken equal to AG, and the same construction…

Mechanics · Celestial mechanics

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