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Plane and solid analytic geometry (1897)

Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 256

An illustration from Plane and solid analytic geometry, 1897, leaf 256
, _ bxi —ayi then, by § 32, PiR Va^ + b^ THE HYPERBOLA. 241 , since (xi yi) i« on the hyperbola, yi h -3 Vx;^-a^ ice, by sill )stituti= b(x on. PiR — Vxi^ — a-)Va^ + b- ba^ Va^ + b^ (xi + V xi- - a^) Now as Xi is allowed to increase indefinitely, the value ofPjR decreases indefinitely, as was to be… … Fig. 103. Let Pi(xi, Yi) be an extremity of that one of tlie conjugatediameters which intersects the i)rimary hyperbola. The tan-gent PiT is Xix y^y 3== b^ 1. 242 PLANE ANALYTIC GKOMETRY. The extremity Qi of the conjugate diameter is and the tangent QiT to the conjugate hyperbola isayi X I bxi y…

Geometry, Analytic

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