Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 269
which reduces to the versiera for b = a. Sketch the versiera, and the last curve for b = \a Fig. 110 270. Cassinian Ovals. Lemniscate. Two fixed points F^,F2 being given it is known that the locus of a point P is : … Fig. Ill (a) a circle if FiP/F.JP= const. (Ex. 7, p. 90);(6) an ellij^se if F,P-\-F2P= const. (§ 204);(c) a hyperbola if F,P - F,P = const. (§ 207). The locus is called a Cassinian oval if F^P-F,,P= const. If XII, § 271] SPECIAL CURVES 257 we put FiF.2 = 2a, the equation, referred to the midpoint…
Geometry, Analytic
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