Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 233
ptote of thecurve.* More briefly, though less accurately, this definition may be stated as follows: anasymptote to a curve is a tan-gent whose point of contact isat infinity, but which is not it-self entirely at infinity. It isevident that to have an asymp-tote a curve must have an infi-nite… … The hyperbola V i = l. (1) is cut by the line y = mx -f- c, (2) in points whose abscissas are given by the equation (o% - W)3? + 2 d?onx + aV + aV = 0. (3) If line (2) is an asymptote, the roots of equation (3)must both be infinite; therefore, by Art. 7, (4), aW-6^ = 0 and 2a^cm=0, (4) h hence m =…
Geometry, Analytic
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