of Q, and P lies on thepolar of Q. Prop. 30. A chord of a circle is divided har-monically by any point on it and the polar ofthat point. Let AB be any chord of the circle through P; andlet (P) be the polar of p, cutting AB in Q.Tlien AB is divided harmonically in p and Q. 274 G-EOMETEY. Let tlie… … Also because TA = TB, therefore the angles TNB,TNA are supplemental in Fig. 1, and equal in Fig. 2. Hence in Fig. 1, NT bisects the exterior angle ofthe triangle ANB, and the interior angle in Fig. 2;and therefore NP, which is perpendicular to NT, bisectsthe interior angle in the former case, and…
Geometry · Geometry, Plane
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