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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 142

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 142
HYPOCYCLOID. 117. Def. The curve traced out by a point on the cir-cumference of a circle, which rolls upon that of a fixed circle,is called an Epicycloid if the concavities of the two circles beill opposite directions, a Hypocycloid if the concavities be inthe same direction. THE EPICYCLOID AND… … the point of contact, meeting the rolling circle in A, E] andlet GPF be the epicycloid, of which PA and PE will be anormal and tangent. Draw the chord EQ parallel to PA and join CQ meetingPA produced in 0. Since EQ is parallel to A (9, CO: CQ:: CA : CE; therefore 0 and Q describe similar figures.…

Mechanics · Celestial mechanics

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