Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 168
ii, and if theratio between them is commensurable, the cycloids will beclosed curves, consisting of as many arches as the ratio con-tains units. The common ratio is 4. If the ratio is 1, theepicycloid resulting is called a cardioid (see Art. 16). Curves described by rolling one figure upon another… … Fig. 61. from coincidence with D. Draw the co-ordinates of P,CF and PF (x, y);CE perpendicular to CD and PA || toCD, and let CD and CY (J_ to CD through C) be theaxes. Let Z BCD = 0, Z BCP = a; Z CPA = 6;CB = r and CB = /. 160 . Analytical Geometry. Then CF = CE - FE = CE - PA = CC cos 0 - CP cos d…
Geometry, Analytic · Calculus
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