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 216
and FT -(ex -f A), Wherefore in Fig. 197. either case we have FT : FT :: r : r {201). Now drawing FM parallel toPF we have FT : FT :: PF : FM, or r : r :: r : FM. .•. FM=r =FP, and F MP = FPT= FPM. q. e. d. 204:, CoE.—In the ellipse the normal bisects the angle included by theradii vectores to the… … ivi; Fig. 198. 295, ScH.—This principle affords one of the most convenient methodsDf drawing tangents to these curves. 1st. To draw a tangent through a giveji point in the curve. Let P, Figs.195, 197, be the point. Draw the radii vectores to the point and bisect theincluded angle for the hyperbola,…
Geometry, Analytic · Calculus
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