Smart, Edward Howard · London : Macmillian and Co. · leaf 161
CP, so that CD = CD, the tangentsat P and P together with parallels through D and D to CP,form a parallelogram of which the asymptotes are thediagonals. (Fig. 68.) CARNOTS THEOREM 133 The particular case of this, in which the diameters are theprincipal axes ACA, BCB, is very important inasmuch as… … Fig. 69. The diagonals of this rectangle (which of course intersect atthe centre) are the asymptotes. We shall speak of BC as the length of the (pseudo-) conjugateaxis of the hyperbola, though B is not a point on the curve. Def. The hyperbola which has the same asymptotes, butBCB as transverse and…
Geometry, Projective
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