Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 72
the right, then siu.t=0, cos.v=l, a=A, and h:=Q.These values substituted in the general equation will reduce itto B^r^+^B^Ar^O, which gives r=0, and r^—2,A, obviously true results. When F is placed at either foci, then a=JA^—B^=Cy and5=0. These values substituted, and we shall have It is difficult… … an equation in which c=:^JA^—B^, and X any variable distance CD. Take the triangle PDF, and by trigonometry we have 1 \ r \ \ cos.v : c-\X. Whence a?=rcos.w—c. This value of x placed in (1), will give A I cr COS. t;—c^r—ji-f- 64 ANALYTICAL GEOMETRY. WhenceOr (A—c eo8.v)r=A^—c^ r=. A—c cos.v This…
Geometry, Analytic · Calculus
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