Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 220
r-cusped hypo-cycloid, in which a = 4 b. The equations here reduce to x = | a cos <f> + \a cos 3 <£, y = | a sin <j> — | a sin 3 (/>. But sin 3 <£ = 3 sin </> — 4 sin3 c/>, cos 3 <£ = 4 cos3 </> — 3 cos <j>. Ch. XV, § 107] Hence x = a cos3 </>,and… … 107. The epicycloid.—The path described by a point
Geometry, Analytic
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
