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 70
the circle, anddividing out the common factor B^. For the firstform the origin is at A, Fig. 43, and for the secondform at A. S7» Cor. 6.—Making K = B in the equations of the hyperbola^ Cors. 3rd and 4th, there residt j^ ■— x^ ^ —A^, and y^ = —(2Ax — x^), asequations of the Equilateral Hyperbola… … Dem.—Conceive the curve Fig. 39, to takethe position M N, Fig. 44, the axis of thecurve and the focus falling on the axis ofordinates, and the origin being at the cen-tre, A. We then have a = 90°, m = 0, Bn = AF = Be, and d = AG = —• Whence, substituting in Eq. A, it becomes / 7? \2 a;2 4_ (5e —…
Geometry, Analytic · Calculus
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