A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 135
for X = dy B^x dx A^y- A- ^^ ^r, = -Ai;, ^^^^^ ^ = ^ - 2/w^. = ^ - -«l7 = :; ^^^i«^ dx A^y ±1 GO. Also T dy dyB^x^ y-^^y B-xB^ y which = 0 for 2/ = rb cc, (In this curve both x and y vary continuously to infinity, hence theintercepts may be evaluated in terms of either.) .-. The hyperbola has… … Fig. 107. AVx-^ — A^ ^ As/x^ learn that the asymptotes are the produced diagonals of the rectangle describedupon the axes, as has been stated before. IdO, ScH. 1.—If, at successive pointsalong an infinite branch of a curve, wedraw tangents, these tangents wdll eitherapproach some limiting position,…
Geometry, Analytic · Calculus
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