Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 211
2 + y2 = a2, and a perpendicular on the tangentfrom the point (a, 0). 27. Find the locus of the poles, with respect to theparabola y2=2mx, of tangents to the parabola y2 = — 2mx. 192 ANALYTIC GEOMETRY [Ch. XIV 28. Find the locus of the middle points of chords ofan ellipse whose poles lie on the… … (2> 4+f5=i- Since they are confocal,the value of c will be thesame in both. Hence (3) a2-b2 = a2-b2. The equations of the tangents to (1) and (2) are Fig. 96. y = lx + VPa2 + b2, ■A^ + V- Let (V, ?/) be their point of intersection. Then »--!+- y = fo+v72a2 + &2, -?+v - + b2. l M2 The…
Geometry, Analytic
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