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
lete the figure and give the demon-stration in the case of the hyperbola.] Fig. 199. 3rd. If a circle be described on PF and another on CB, the lines passingfrom P through their intersections are tangents to the curve, and thiswhether P is in or without the curve. [Why? The student should beable to… … 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…
Geometry, Analytic · Calculus
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