Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 131
tion of normal withaxis for each of the conic sections. 15. Prove that tangents to ellipse, hyperbola, or parabola at the ex-tremities of chords through a fixed point intersect on a fixed straight line. 16. Prove that the chords of contact of tangents to a conic sectionfrom points in a straight… … rUOVERTIKS OF THE CONIC SECTIONS 117 The ratio of the focul nulii is ^^ = -—^- SincePF a + exo AF= AF = ae and AT- Xo FT~ a (« - ex^) — (« + ea;o) Hence EJL = I1L^ and Pr bisects FPS.FT PF 18. In the hyperbohx the tangent at any point bisects the angle in-cluded by the focal radii to the point. 19.…
Geometry, Analytic
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