Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 161
4. Find 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 denned as the locusof the middle points of a system of parallel chords. Themethod of finding this locus has already… … Fig. 76. points where it cuts the circle, and (V, yf~) the coordinatesof the point midway between these two points. 142 Ch. XI, § 79] DIAMETERS 143 Starting the solution of the two equations, y = l1x + ftand b2x2 + a2y2 = a2b2* we have Q>2 + a\2) x2 + 2 a%#r + a2 (ft2 - I2) = 0, the two roots of…
Geometry, Analytic
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