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The elements of plane analytic geometry. A text-book including numerous examples and applications, and especially designed for beginners (1903)

Briggs, George R. (George Russell), b. 1853, Bôcher, Maxime, 1867-1918 · New York, J. Wiley & sons; [etc., etc.] · leaf 168

An illustration from The elements of plane analytic geometry. A text-book including numerous examples and applications, and especially designed for beginners, 1903, leaf 168
ds of eitherbranch of the hyperbola,which are parallel to P^ P^;and P.l P^ extended bisectsall chords lying between thetwo branches of the curveand parallel to P^ P^. Welimit Pc^ P^ by the conjugate hyperbola, as will be explainedlater. It follows from equation (2) that conjugate diameters of… … DIAMETERS. POLES AND POLARS. l6l where each equals — and the diameters coincide with one of the^ a asymptotes. We learn from this that one diameter has a less inclinationthan the asymptote, and the other a greater; therefore one liesin the angle Z O Z, and the other in the supplementary angle.We…

Geometry, Analytic -- Plane

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