Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 159
ints on the conjugate axis of an hyperbolafrom which tangents to the hyperbola are perpendicular toeach other. CHAPTER XI DIAMETERS 79. The diameter of a conic may be denned as the locusof the middle points of a system of parallel chords. Themethod of finding this locus has already been… … Fig. 76. points where it cuts the ellipse, and (V, yr%) the coordinatesof the point midway between these two points. 142 Ch. XI, § 79] DIAMETERS 143 Starting the solution of the two equations, y — lxx-\-^and b2x2 + a2y2 = a2b2, we have (J)2 + a2!2) x2 + 2 a\px + a2 (/& - b2) = 0, the two roots…
Geometry, Analytic
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