Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 209
tangents to the parabola ^2— ^2mx. 192 ANALYTIC GEOMETRY [Ch. XIV 28. Find the locus of the middle points of chords ofan ellipse whose poles lie on the auxiliary circle. 29. Find the locus of the intersection of two perpen-dicular lines which are tangent respectively to two con-focal ellipses. Let… … ^ = lx-^VlV-{-h\ Let (x, ?/) be their point of intersection. Then X . y = lx +^Pa^ + lfi, y -T+\t + V The elimination of I will give a single equation in x^and y, Transpose and square. ?/2 - 2 Ixy + Z2^2 ^ 12^2 ^ 12 Adding, (1 + l)y + (1 + l^)x = a^ + aH^ + !? + b,^P Ch. XIV] PROBLEMS IN LOCI 193…
Geometry, Analytic
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