Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 170
edif we draw the perpendicular from the other focus. 140. Perpendiculars from the Foci upon the Tangent.Problem. To find an expression for the length of the per- 154 PLANE ANALYTIC GEOMETRY. pendicular from either focus upon the tangent to an ellipse atthe point {x, y). Let p and jt? be the… … ^ =-:7i^ aF(ex — a) and P Vbx + ay Vbx -f ay- aVex- dh - ah\ex + a) + «y vv ay (19) which are the required expressions for the perpendiculars. Product of the Perpendiculars from the Foci upon the samTangent, We find, by multiplication,^ _ a^i^i^ce - ex)PP - i^x + ay ~_ ah\a^ - ex) lx-^a\ab-Jfx)^…
Geometry, Analytic
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