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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 272

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 272
tan-gents at the vertices of the inscribed hexagon. It is now requiredto prove that the three diagonals AD, BE, CF pass through thesame point. Because from the point L two secants Ld and Lf are drawn,and tangents at the extremities of the chords, therefore (238)CF is the polar of L. Similarly, BE… … 277. Prove that if any point outside a circle be joined tothe vertices of any circumscribed quadrilateral, and two tan-gents drawn from the point, these six lines form a pencil ininvolution.

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