Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 128
nd Pm will be equal, andlie on different sides of the abscissaAP, If x=b, then the two values ofy vanish, because x—6=0; and conse-quently, the curve passes through B,and has there a duplex point. If AP be taken greater than AB, then there will be two values of y, asbefore, having contrary signs,… … 120 ANALYTICAL GEOMETRY. taken greater than AD, then a^—x^ becomes negative, and thevalue of y impossible; and therefore, the curve does not extendbeyond D. If X now be supposed negative, we shall findy=±Ja^—x^ Xh-^-x^x.If X vanish, both these values of y become infinite, and conse-quently, the…
Geometry, Analytic · Calculus
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