Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 221
Fig. 106. 204 ANALYTIC GEOMETRY [Ch. XV, § 108 on the circumference of a circle which rolls on the out-side of a fixed circle is called an epicycloid. Let the student show that the equations of the epi-cycloid are a + bs x — (a-\-b~) cos (j> — b cosy = (« + b) sin <\> — b sin b a + b *… … Fig. 107. obtaining its equation as a special case of that curve,we shall find it easier to obtain its polar equation at oncefrom the definition. Let 0, the original point of contact of the two circles, Ch. XV, § 110] HIGHER PLANE CURVES 205 be chosen as the polar origin, and the diameter CA…
Geometry, Analytic
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