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 91
) :: Va^ — 2/2 : x. Squarmg,2/2 : (2/ -f- &)2 :: a-2 _ 2/2 : a;2. ... xHf- = {y -\- hy{a^ — y^). ScH. 1.—Since .-r = ± v/a^ — yy- j, for every positive value of y, numerically less than a, x has two nnmerically equal values with oppositesigns ; which values increase as y di7ninishcs, and for ?/… … . •. This portion of the locus is symmetrical with respect to the axis of y,and has the axis of x for a common asymptote of its two branches. Again,as ail negative values of y, not numerically greater than a, give numericallyequal values of x with opposite signs, there is a portion of the locus…
Geometry, Analytic · Calculus
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