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 227
radius sufficientlylong to cut the curve,construct the circleHIMN, join two of theintersections, as I andH, and perpendicularto this chord pass a linethrough the centre ; itwill be the axis. [Thestudent can readily fin-ish the problem.] The construction isthe same for the hy-perbola except in… … S2S, IProp.—In different ellipses upon the same transverse axis, thecorresponding ordinates to the transverse axis are to each other as the con-jugate axes of the respective curves. Dem.—We have PG : CG X GB : :AD^ :AB alsoPG : CG XGB: : AD : AB and P G^ : CG XGB:: AD: ABl .• . PG : PG : PG : : AD…
Geometry, Analytic · Calculus
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