Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 91
he equation of thelocus generated by Pi {xi, yi), the intersection of the tangentsAPi, BPi, as the line PAB revolves about P. Prom the preceding article the equation of the chord AB is ^1^ I yiV __ 1 a Since P (x, y) is on this line, we have ^\^ I yai + a a hence ^ + ^ = 1 • • • (1) a^ a^ 76 PLANE… … Fig. 27. which the chord, in any position, cuts the circle; hence (1)will be satisfied for the co-ordinates of the points of intersec-tion of every pair of tangents so drawn. Equation (1) is, therefore, the equation of the requiredlocus. We observe that equation (1) is identical with (1) ofthe…
Geometry, Analytic
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