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
200, JProp,—In the parabola the radius vector drawn to the pointof tangency makes the same angle with thetangent as a diameter through the samepoint, or as the tangent does with the axis ofabscissas. Dem.—Let PF be the radius vector, PF thediameter, and MT the tangent. Then FPT= FPM. For, AT= X… … Fig. 200. SPECIAL PBOPERTIES OF THE CONIC SECTIONS. 187 297* Cor.—In the parabola the normal bisects the angle included bythe radius vector and a diameter at the same point in the curve. 298, Sen.—To draw a iangerit to the poiiit P in the parabola, draw theradius vector and the diameter to the…
Geometry, Analytic · Calculus
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
