l 62^a2 • III. Poles and Polars. 78. To find the polar of any given point (^, ])) withrespect to the ellipse. Let QUA! be the ellipse, and P the given point{x\ y). Let a chord through P cut the ellipse in Q{1\^ I)and E{7i; Ic)-, and let QT, RT be the tangents at (A, Z;), The Ellipse. 153 (/ij k).… … Hence the co-ordinates of T satisfy these equations;and therefore the co-ordinates of T satisfy But since {x\ y) lies on the straight line throughQi, k), (h, Jc), therefore (§ 15) x - h y - k h-h k - kHence the co-ordinates of T always satisfy 154 Analytical Geometby. therefore they always satisfy…
Geometry, Analytic
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