Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 113
, as in the above problem, we have to determinethe locus of a point situated on a moving line whichrevolves about some fixed point in it, polar coordinatesare often convenient. The fixed point is taken as thepole, and the distance from it to any position of the Y moving point becomes -^ the radius… … Ch. VIII, § 61] LOCI 97 Let P^ be a fixed point through which the secant PjPgpasses, and let it be required to find the locus of P, themiddle point of P^P^,- Transform the equation of thecircle to polar coordinates, with P^ as origin. The equa-tions of transformation are (by [20] and [24]), ^ = ^i…
Geometry, Analytic
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