.r, ?/) is within or without the asymi:)totes. Hence the tan-gents from a given point touch the same or oppositebranches of the hyperbola, according as the given pointis between or outside the asymptotes. IV. Parallel Chords and Conjugate Diameters. 97. (1). In an hyperbola the locus of the… … (2). If CP bisects the chords parallel to CB, thenCD bisects all chords parallel to CP. (§83). The Hypekbola. 187 CP and CD are called conjugate diameters-If 9, 9 be the angles which CF, CD make mth theaxis of ic, then tan ^-tan &= +-^, ....(§83) a relation which in the hyperbola always…
Geometry, Analytic
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