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 220
O) will intersect in three other points, which liein one right line. Let OA, OB, OC be the three chords, and let the circles onthem, as diameters, intersect in D, E, F. By (222) AB produced will pass through D and be at rightangles to OD, BC will pass through F and be at right anglesto OF, and CA… … the sides of the inscribed triangle ABC, and therefore (118) D, Q. E. D. E and F lie in one straight line 224. The tangents at the angular points of any triangleinscribed in a circle intersect the opposite sides in three pointsivhich are situated in a straight line. Let ABC be a triangle inscribed…
Geometry
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