Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 199
ular from Focus to Tangent. The perpendicular from the focus to any tangent ivill meet iton the tangent at the vertex of the parabola, and will meet thedirectrix at the point where the latter is intersected by a linefrom the point of contact parallel to the axis of the parabola. y2 = 4px (1) is the… … Fig. 82. If Pi(xi, yi) is any point of the parabola, the equation ofthe tangent through P^ will be yiy = 2p(x + xO. (4) Since FRS is perpendicular to the tangent, its equation willbe ^ = -2p^^-P> (5) If R is the point of intersection of (4) and (5), we find R tobe the point ( 0, ^ ) and hence to…
Geometry, Analytic
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