An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 169
and is at right angles to CO. This straight line is called the polar of the point 0 with respectto the circle; and the point 0 is said to be the pole of the line. It should be noticed that if the point 0 is without the circle,the straight line OR may not intersect the circle in real points.But in… … Let PQ be any chord of a given circle which passes throughthe given point 0, and let It be the harmonic conjugate of 0 withrespect to the points P, Q. Let C be the centre of the circle, and let a circle be drawnthrough the points C, P, Q, cutting CO in the point N. Then since 00.0N=OP.OQ = 0A.OB,it…
Geometry
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