{x\ y) is re-presented by X -x y - ifI m or x = x + Ir, y = y + mr,.... (1)where r represents the distance from {:>:, y) to {x, y).In combining (1) with the equation of the ellipse,(x, y) must be the point which is common to chord The Ellipse. 157 and ellipse, i.e., must be A or B-, and… … Hence, since PA, PB are the roots of this quadraticin r, It mi/ r2 4/2 Ix m\/ x^ y^ PA + PB PA.PB a^^ ¥ ^^^ •• PA^PB Ix my ¥^~¥ x^ y- , •(2) 158 Analytical G-eometky. Again, combining (1) Tvith the equation of the polarlave(x + lr)x _ [ij + mr)!/ -^ +~ = 1, we have /Jx tmi\ :c- if- ^\a- ¥ I a- l-.…
Geometry, Analytic
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