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
PH parallel to it, Fig. 219. Produce PG till it meets HE drawnparaUel to AB, in E. Then AP = ^ = PH. Again, P G : PG ::PA : PI, or ordinate of circle : ordinate of ellipse : : A : PI. And as thisis true for all positions, PI being made = B, and PH = ^, P is alwaysin the curve. We may also… … 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…
Geometry, Analytic · Calculus
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