Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems (1863)
Newton, Isaac, Sir, 1642-1727, Frost, Percival, 1817-1898 · Cambridge, London, Macmillan and Co · leaf 121
other polygon. 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. 10J NEWTON. The points abc ... are ultimately in the curve which… … which is the limit of the polygon abed... is the evolute of thecurve abc ..., and the property proved for the polygons is truefor the limits of the polygons, therefore the extremity of thestring unwrapped from the evolute traces the curve of which itis the evolute. This property gives rise to the…
Mechanics · Celestial mechanics
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