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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 149

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 149
triangle circumscribed by a circle.Draw GE and GO, bisecting the internal and external verticalangles, and meeting the circle in E and F. Join EF, which is a diameter, bisecting the base AB at rightangles in D (77). Join EG. Because the angles EDG and EGG are right, therefore thefigure EDCG is… … being equal to a right angle, together with half the difference ofbase angles. Also, EC. CH = AC . CB is given. Hence the following con-struction. Describe on CD the given bisector of base as commonchord, two segments of circles containing angles equal to half thegiven difference of base angles,…

Geometry

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