Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 115
in. When, 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 moving point becomes—A the… … Cn. VIII, § 61] LOCI 97 Let jPj be a fixed point through which the secant PXP3passes, and let it be required to find the locus of P\ themiddle point of P^PZ- Transform the equation of thecircle to polar coordinates, with P1 as origin. The equa-tions of transformation are (by [20] and [24]), x z= x,…
Geometry, Analytic
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