The elements of plane analytic geometry. A text-book including numerous examples and applications, and especially designed for beginners (1903)
Briggs, George R. (George Russell), b. 1853, Bôcher, Maxime, 1867-1918 · New York, J. Wiley & sons; [etc., etc.] · leaf 68
O X the initialline, and AB any straight line in the plane. The position of the line is determined by /, equal to O Q,the perpendicular from the pole to the line, and a, equal toX O Q, the angle which / makes with the initial line. 6o ANALYTIC GEOMETRY. Let P be any point on A B, with coordinates r… … OQOP = cos QOP = cos {4, - a) (2) Substituting in (2) the values oi O Q and OP, and clearingof fractions, we have r cos ((}) — a) = p, which must be the required equation, since it expressejs a neces-sary relation between r and <^, the coordinates of any point onA B (and of no other points), in…
Geometry, Analytic -- Plane
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