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
(but more and more slowly)api^roaehes E but can never pass it; and, consequently, that T can neverpass A, however far P may recede. From these considerations, an asymp-tote is seen to be tJie limiting position toward lohich a tangent approachesas the point of tangency recedes to infinity. 14:7•… … Fig. 108. 106 PROPERTIES OF PLANE LOCI. ting my = ax + b. Thus the equations of the asymptotes to the hyperbola B B are y — —x, and y = -x; or Ay = Bx, and Ay = — Bx. A a Ex. 7. Show that y = — x-\-- is the equation of the asymptote o to ?/3 = ax^ — x\ Ex. 8. Show that x = 2a, and y == ^ (^ + a)…
Geometry, Analytic · Calculus
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