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Plane and solid analytic geometry (1897)

Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 124

An illustration from Plane and solid analytic geometry, 1897, leaf 124
rcle, and that, hence, no tangent can bedrawn from it to the circle. 58. Chord of Contact. Frotn any point outside a circle two real tangents rnay hedraivn to the circle, and the straight line joining their iesjjec-tive poiiits of contact is called the chord of contact. Let PiPo and P^Pg be the… … Fig. 50. By [26], §54, tlie equations of PjPa and P1P3 are resi)ec-tively x.x + y.y + G (x + X,) + F (y + y,) + C = 0, (1) X3X + y^y + G (x + X3) + F (y + y3) + C - 0. (2) Since Pi is a point of both these lines, x.xj + y,yi + G (xi + X,) + F (y^ + y.) + C =- 0, (3) X3X1 + ysyi + G (x, + xa) + F…

Geometry, Analytic

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