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 80
E CARTESIAN METHOD OF CO-OllDINATES. Sugs. ad =x, PTD =y, AF = Ae, PF and—— =e. PF^ = e^XPE.^ PF2== 2/2 + {Ae + xy, and PE^ = { h ^) • ... 2/2 _|- (1 _ e2)a;2 = ^2(1 _ e^). por 1 — e^substituting —, we have A^y^ -f ^2-j;2 =_ 2. In like manner produce the equation of the ellipse referred toits… … Sugs. AD=a^,PD: -y, ^p^=e,a.u6. C p F2 = e2 X P E2. Also P F^ = (x + Ae^+ (J5 + y)\ and PE^ = (- + x)^ \ 6 / 4. Produce the common equationof the hyperbola, A^y^ — B^x^ = —A^B^, directly as above. c Y y/ A D E ^^ ~^~--^ p • f^ ^ ^ G I F 0 I 7 B ^ ^— Y^ Fig. 51. 5. In like manner as above produce…
Geometry, Analytic · Calculus
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