Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 201
Note. If Pi is so situated that tlie circle with radius PiF does notcut the directrix, the above construction fails. But it is evident thatthis case can occur only when Pi is a point within the parabola, andfrom such a point no tangent can be drawn to the parabola. 87. Diameter. The definition of a… … Let y2 = 4px (1) be the parabola, and let m be the common slope of theparallel chords. Then y = mx + b (2) will represent one of the chords, as PiPo, which intersectsthe parabola at the points Pi(xi, yi) and P2(x2, ys)- If THE PARABOLA. 187 PsC^s; ys) is the middle point of this chord, Substituting…
Geometry, Analytic
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