Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 187
ondition that Pi should lie on (2).This establishes the theorem. This theorem may be other-wise stated as follows: The polars of all i^oints lying in the same straight line passthrough the same jjoint, namely the pole of that straight line. With the aid of this theorem, theorems similar to those… … Fig. 76. Let PiN be any secant through Pi, and let M and N bethe points where this line is cut by the conic, and Q the pointwhere it is cut by the polar of Pi. We are to prove that theline MN is divided harmonically; i.e., that it is dividedexternally and internally in the same ratio. We must have…
Geometry, Analytic
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