Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 73
by the length p = ON (Fig. 28) of theperpendicular let fall from the origin onthe line and the angle /3 = xON made bythis perpendicular with the axis Ox. Then p and /8 are evidently the polm^ coordinates of the point -^ (§ 16). Let P be any point of the line and OP = r, xOP— d> its polar… … IV, §54] TWO OR MORE LINES 61 54. Normal Form. The last equation can be transformed toCartesian coordinates by expanding the cosine : r cos <^ cos P + r sin <f>sm p=p and observing (§ 17) that r cos <l> = x, r sin <i> = y\ the equationthen becomes (5) ai^cosp+y8inp=ip. This…
Geometry, Analytic
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