Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 126
ut special cases of a type of locus, called a THE CIRCLE. Ill polar, wliicli may be defined with respect to a curve for apoint which is called the pole. The definition is as follows : If through a fixed j^oint P^ any number of secants be draxmi toa circle, and tangents to the latter be draivn at… … Fic. 51. Let the circle be x- + y- + 2 Gx + 2 Fy 4- C = 0 andPi(xi, yO be the pole. Let (1) be any secant througli P^ the tangents at its ex-tremities meeting at P2(xo, y.,). Then, by [27], § 58, theequation of (1) is X2X + W + G (x + X,) + F (y 4- y.) + C = 0. (1) But Pi is a point of line (1) ;…
Geometry, Analytic
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