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Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 213
Fig. 98. … Ch. XV, § 102] HIGHER PLANE CURVES 197 Then FP = V(z - c)2 + ~y\ and FP = V(x + c)2 + f.But FP.FP = m2. Hence [0 - c)2 + f] [O + c)2 + y2] = m4, or (a? + y2 + c2)2 - 4 c2x2=m* is the equation of the Cassinian oval. The intercepts of the curve on the axes are ± Vc2 ± m2and ± Vm2 — c2. Hence if…Geometry, Analytic
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