Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 263
r de-gree than one in y. Such a curve is often called a paraboliccurve of the nth degree. 250 PLANE ANALYTIC GEOMETRY [XII, § 259 259. Transformation to Polar Coordinates. The cartesianequation (1) is readily transforined to polar coordinates by sub-stituting X = r cos cfi, y = r sin <^; it then… … + (a,,cos(^ + 6„cos-^<^sin<^H hA;„cos </> sin-^ (^-t-/,,sin(^)r* = 0. If any particular value be assigned to the polar angle <^, thisbecomes an equation in r of adegree not greater than n. Itsroots 7*1, r^,- represent the in-tercepts OPi, OPo, •.. (Fig. 104)made by the curve (2) on…
Geometry, Analytic
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