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A first course in projective geometry (1913)

Smart, Edward Howard · London : Macmillian and Co. · leaf 99

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onal triangle is self-conjugate with respect tothe circle. Let abed (Fig. 346) be the quadrilateral, and efg its diagonaltriangle. Let h, k be the joins of {eg) to (fa) and (fh) respectively. Then (Chap. IV. § 8) a, /, r/, h form a harmonic pencil. So also do h, /, c, k. .*. (§ 9) li and k are each… … Fig. 346. § 13. Prop. The angular points of the diagonal triangle ofa quadrilateral circumscribed to a circle coincide with the dia-gonal points of the quadrangle, formed by the points of contact. F

Geometry, Projective

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