Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 209
of P, if 0, A, B, and P form aharmonic range. Show that the result will represent anellipse, hyperbola, or parabola, according as 4 r2 < a2,4 r2 > a2, 4 r2 = a2. 18. Find the locus of the vertex of a triangle if thelength of the base is <?, and the product of the tangentsof the base angles… … Fig. 95. jr -=*. a/(tf — xl) Dropping primes and reducing, we havekx2 + y2 — hex = 0. This will be an ellipse or hyperbola, according as k ispositive or negative. In either case the coordinates ofthe centre will be {-, 0 ), and the semi-axes will be - andcVk T~ 19. Find the locus of the vertex of a…
Geometry, Analytic
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