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 228
331, I^TOp,—In different ellipses on the same conjugate axis, cor-responding ordinates to this axis are to each other as the transverse axesof the respective curves. DemGE .: AB : ADDG ~ We have PG :DG Xand pQ-; J/2 X G E : : A B.-. PG : PG :: AB Q. E. D. AD^: AB 332, Cor.—Any ordi-nate to an… … SPECIAL PEOPEETIES OF THE CONIC SECTIONS. 199 333, I*rop*—The squares of ordinates to any diameter of a para-rhola are to each other as their corresponding abscissas. Dem.—Referred to any diameter, as AX or AjXi, the equation of the parabola is y^ = 2px {127f ^x,. 12).Whence, letting y and y…
Geometry, Analytic · Calculus
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