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 270
ny tangent be drawn to a given circle, and itspole taken with respect to any origin ; the distance of the polefrom the origin is to its distance from the polar of the centreas the distance of the centre from the origin is to the radius ofthe given circle. Let A be the centre of the given circle,… … Because BC and EF are the polars of the two points P and A,therefore (256) OP : OA :: Pi) : ,4P, or, alternately, OP : PD v. OA : AB. Q. e. d. N.B. We have seen in (273), that when the origin 0 coin-cides with A the centre of the given circle, the locus of P is acircle concentric with (A). When 0…
Geometry
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