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Plane and solid analytic geometry (1897)

Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 127

An illustration from Plane and solid analytic geometry, 1897, leaf 127
ation satisfied by the coordinates of everysingle point of tlie locus. Hence x.x + yiy + G (X + xO + F (y + yi) + C = 0 [27] is the equation of the polar of Pi(xi, yi) with respect to theCI rclc xM-y + 2 Gx + 2 Fy + C = 0, (1) If Pi is on the circle, it is evident that the polarbecomes the tangent… … Fig. 52. (2) If Pi is without the circle, its polar becomes the chordof contact of the tangents to the circle from Pi, for the limit-ing positions of the secants from Pi are the two tangentsP1P2 and P1P3 (Fig. 53), and as the secant approaches thesetangents as limits, the corresponding point of the…

Geometry, Analytic

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