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 84
. AD =37, PD=2/, A& = A,AE.=B, A F = A F = c. Then from the definition \/y^ -\-ic -\- xy- -\- Vy^ -{-[c — xY= 2^. Whence Ay-^ + (^2 _ c2>2 = j^2(^2 _ c;). But by definition, E.F = A ,whence A^ — c^ = JB- ; and we have A^^ 2. In a manner similar to the above V produce the common equation of… … OF THE CONIC! SECTIONS. 55 Sxjgs.—In this case it must be borne in mind that A^-\-B^=c^ {.4:7), and hencethat A^ — c^ = —B\ The equation is A^y^ — B^x^ = —A^B^, as before produced. 3. To produce the equation of the locus of a point moving so thatthe square of its distance from a fixed point is in a…
Geometry, Analytic · Calculus
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
