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 73
ned by the length j) = OX (Fig. 28) of theperpendicular let fall from the origin onthe line and the angle (3 = xON made by ^this perpendicular with the axis Ox. Then ]■) and ^ are evidently the polai^coordinates of the point N {% 16).V Let \P be any point of the line and OP=^r,xOP=<t) its polar… … IV, §54] TWO OR ^rORE LIXES 61 54. Normal Form. The last equation can be transformed toCartesian coordinates by expanding the cosine : r cos <^ cos ^ + /• sin ^ sin (^ =p and observing (§ 17) that r cos (^ = x, r sin <f) = y ; the equationthen becomes (o) oc cos /3 4- 2/ shi p=p. This…
Geometry, Analytic
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