Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 204
ed in problems1 and 2. CHAPTER XIVPROBLEMS IN LOCI 1. Find the locus of the vertex of a right angle whose sides are tangent to the ellipse — + %■ — 1. a2, b The equations of any two perpendicular tangents PKand PL may be written in the form > = l1x + Vl12a2 + b2, and y = I2x + v72%2 + b2, where… … Fig. 92. two equations in x\ y\and the variable param-eter lv By eliminating lv we shall obtain a single equa-tion in xf and yf. Clearing of fractions, transposing, andsquaring, 185 186 ANALYTIC GEOMETRY [Ch. XIV y2 - 2 llXy + h2x2 = l^a2 + 627^2 + 2 Z^y 4- x2 = a2 + ^2Adding, (l + ^z/^ + Cl +…
Geometry, Analytic
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