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 167
Therefore (164, N. B.) CG and GF are equal, and the angleA GF is equal to the alternate angle GAE, which is a right angle(hyp.). Therefore (I. 4) the angles FAG and GAG are equal, andtherefore their complements EAR and EAG are also equal. Q. E. D. 173. Given the base and the ratio of the sides of… … externally in E in the ratio of the sides so that B, D, C, E is anharmonic range. On BE describe the semicircle DAE. This is the requiredlocus. For join any point A in the arc of the semicircle to thepoints of the range. Therefore A . EDGE is an harmonic pencil,and the two alternate rays AD, AE…
Geometry
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