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 163
, and — 1. Betweenthese values y is imaginary ; hence the locus liesbeyond these points to the right and left. Put-ting 2/ = 0, we have — 2a;2 — a; -[- 10 = 0, whencea; = 2, and —21, and the curve cuts the axis ofa; at C and B. For ic = 4, 2/ = 3 • 5 and — 7-5nearly, and we have 1 and 2. In hke… … Fig. 140. Ex. 3. Trace the locus y^ — 2xy -\- x^ — 4y -f- a; -f 4 = 0. 134 PEOPEETIES OF PLANE LOCI. Sugs.—Since JB^ — 4:AC = 0, the locus is a parab-ola, y = x -\- 2 is the equation of a diameter. ForX =1 0, y Tz=.2. For x negative, y is imaginary. For.r = 3, 2/ = 8, and 2. Exs. 4 to 7. In like…
Geometry, Analytic · Calculus
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
