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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 246

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 246
six points are in involution, q. e. d. 247. If a quadrilateral be inscribed in a circle, andanother circumscribed touching at the angular points, provethat, (a) their diagonals intersect in the same point, and form,an harmonic pencil; (J3) their third diagonals are in the 247.] AND IN MODERN… … t Let ABCD be the inscribed quadrilateral, and EFGff thecircumscribed touching at the angular points of the former. Let0 be the centre of the circle, and let AB, CD meet in T; BC, ADin R; EF, HG in 8, and suppose that V is the point in which FGHE, if produced, would meet, and let AG and BD…

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