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 81
ivo points on the two sides,the distances from the feet of these perpendiculars to thevertices of the triangle are either half the sum or half thedifference of the two sides. Let ABC be the given triangle circumscribed by a circle. LetAD the bisector of the vertical angle BAC meet the… … Because AD bisects the angle BAG, and AE bisects the angleKAL, therefore the angle EAD is a right angle, and therefore EDis a diameter. The angles EAL and EAK are equal, but EAL is the exteriorangle of the inscribed quadrilateral AEBC, therefore (III. 22) theangles EAL and EBC are equal, therefore…
Geometry
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