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Plane and solid analytic geometry; an elementary textbook (1905)

Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 221

An illustration from Plane and solid analytic geometry; an elementary textbook, 1905, leaf 221
h described by a point r >^ \ ~~~^ X^^l/ / / /V47^ A A J/ 1 X \ 0 JV M Fig. 106. 204 ANALYTIC GEOMETRY [Cii. XV, § 108 Oil the ciicuinfereiice of a circle Avliich rolls on the out-side of a fixed circle is called an epicycloid. Let the student show that the equations of tlie epi-cycloid are a; =… … 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 (9, tlie original point of contact of the two circles, Ch. XV, § 110] HIGHER PLANE CURVES 205 be chosen as tlie polar origin, and the diameter CA…

Geometry, Analytic

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