Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 258
to the asymptote y = x. 3. Moreover, the figure CPiTQ, is a parallelogram by § 121, 1,and CT is an asymptote by § 123. Therefore, QiPi is bisectedby CT, since the diagonals of a parallelogram bisect eachother. THE HYPERBOLA. 243 125. The portion of a tangent between the asi/mptotes isbisected by… … Let RQ be any chord intersecting the hyperbola in S andM, and the asymptotes in R and Q ; to prove QM = SR. Draw the diameter CN to the middle point of SM, and atthe point P where CN intersects the hyperbola draw the tan-gent TT. Then by § 121, 1, TT is parallel to SM. ButTP = PT, by previous…
Geometry, Analytic
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