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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 80

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 80 — cular on the base and the bisectorof the internal vertical angle is half the difference of the baseangles, and the angle between the base and the bisector of theexternal vertical angle is half the difference of the baseangles. In the triangle ABC let the side AB be greater than AC. Cutoff AF equal… … D E DAK. Because AG bisects the vertical angle FAC of the iso-sceles triangle FAC, therefore the angle AGO is a right angle,but GAK is also a right angle, therefore AK and FC are parallel(I. 28), and therefore (I. 29) the angles ACF and CAK, AFC andHAK are equal, but CAB is equal to the sum of the…

Geometry

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