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Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)

McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 235

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 235
[237. assumed point is called the polar of the fixed point, whichis called the pole. ^^ _ 237. Trove that the polar of a given point, with respectto a circle, is a straight line on the same side of the centre asthe pole; that the straight line joining the centre and pole isperpendicular to the… … Fig. i. Fig. 2, Let C be the centre of the given circle, and P the given point. Through P draw the diameter EF, and take D so that Pand D may be harmonic conjugates to E and Fy and draw DPperpendicular to DE. Then DP is the polar of P. For, drawthrough P any transversal cutting the circle in. A, B…

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