Smart, Edward Howard · London : Macmillian and Co. · leaf 98
his follows easily : the proof is left as an exercise. HARMONIC PROPERTIES OF THE INSCRIBED QUAD-RANGLE AND CIRCUMSCRIBED QUADRILATERAL. § 11. Prop. If a quadrangle be inscribed in a circle, thediagonal points determine a triangle self-conjugate withrespect to the circle. Let ABCD (Fig. 34a) be the… … Fig. 34a. This polar is therefore EG. Similarly FG is the polar of E ;.*. FE is the polar of G, and the triangle EFG is self-conjugate. § 12. Prop. If a quadrilateral be described about acircle, its diagonal triangle is self-conjugate with respect tothe circle. Let abed (Fig. 346) be the…
Geometry, Projective
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