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
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 —… … D. so. Cor. 8.—The equation of the Parabola referred to its axis anda tangent at the vertex, is y^ = 2i^x, in which 2p is the latus rectum. OF THE CONIC SECTIONS. 41 c Y M X G B A HY Dem.—Besuming Eq. A, and conceiving thecurve situated as in Fig. 45, a =0, n = 0, m= AF = ip, d =^ — AG = — ^p, and…
Geometry, Analytic · Calculus
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