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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 112

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 112
points ahcd... of anotherpolygon. If a string were wrapped round a abed... the extremity awould as the string was unwrapped pass through the pointsabcd. Let now the number of sides of the polygon be increased andthe magnitude diminished indefinitely. The points ahc... will be ultimately in the… … the curve, which is the limit of the polygon ahcd..., will be theevolute of the curve abc... , and the property proved for thepolygons will be true for the limits of the polygons, thereforethe extremity of the string unwrapped from the evolute willtrace the curve of which it is the evolute. This…

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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