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Analytical geometry for beginners (1905)

Baker, Alfred, 1848-1942 · Toronto : W.J. Gage · leaf 128

An illustration from Analytical geometry for beginners, 1905, leaf 128
e pole is without theparabola, the line joining the points of contact oftangents from it is the polar. Cor. 2. If the pole be the focus (a, 0), the polar is0=^x + a, which is the directrix. Hence the directrixis the locus of the intersection of tangrents at theextremities of focal chords. The… … (1). Let (- a, (3) be the point T on the directrix,where the tangents QT, ET Sit the ends of the focalchord QFR intersect. Then QT, i^Tare at right angles: Let y = mx + — be either of these tangents. Sinceit passes through ( - a, ^), therefore ^ = a ma + —, m y8. or m^ + -m - 1a 0, which therefore…

Geometry, Analytic

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