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Plane and solid analytic geometry (1897)

Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 128

An illustration from Plane and solid analytic geometry, 1897, leaf 128
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… … Fig. 53. (3) If Pi is within the circle, its polar will nut cut thecircle at all (Fig. 51), as is readily shown by showing that itsdistance from the centre of the circle is greater than theradius of the circle. 60. Other Properties of Poles and Polars. (1) The polar is perpendicnla? to the line…

Geometry, Analytic

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