Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 159
the points 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 defined 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 (x\ y^ the coordinatesof the point midway betAveen these tAvo points. 142 Ch. XI, § 79] DIAMETERS 143 Starting the solution of the two equations, y — l^x -\- /3and Px^ 4- a^t/^ = a^lP, we have QP- + aH^-) .r2 + 2 a\^x + a (^ - IP^ = 0, the two roots of…
Geometry, Analytic
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