Elements of analytical geometry and of the differential and integral calculus (1866)
Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 269
n the last case, we shall knowbut one pomt of the asymptote, but its direction may be determined by finding the value of -^, under the sup-position that the co-ordinates are infinite. 51. Let us now examine the equation, of lines of the second order, and see if these lines haveasymptotes. We find,… … If now we make w = 0,the curve becomes a parabola,and both the limits, AE, AE,become infinite ; hence, theparabola has no rectilinearasymptote. If we make n negative, thecurve becomes an ellipse, and AE becomes imaginary; hence, the ellipse has no asymp-tote. But if we make n positive, the equation…
Geometry, Analytic · Calculus
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