x^ + y- + p^^ + ^X, =-(S*l?)-(f-S) ^ 86. The product of the focal distances is equal to thesquare of the conjugate semi-diameter.For PF. PF = (a - ex) (a + ex), = ^2- ■eV^ = rt2_ a- ^V3 = a- - x- + a- fC^ ■ 87. If a circumscribing parallelogram be formed bydrawing tangents at the extremities of… … 88. To find the equation of the ellipse when referredto conjugate diameters as axes of co-ordinates. Reverting to § 82, since V is the middle point of QQ, ^ + ^i^ = 0, and r is QV. Therefore a^ (P m\^^, a? (3- . ..(1) Also combining ^ = ^ = r, or x=J)\ y = mr with theequation of the ellipse, r now…
Geometry, Analytic
Internet Archive · Western University Libraries · Public Domain Mark 1.0. Free to use for anything.
