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
be proved, exactly as in (169), thatthe three points L, M, N are in the same straight line. In fact,this proposition is only a particular case of (169). 172. If two alternate rays of an harmonic pencil containa right angle, they bisect the angles contained by the other tworays. Let A.BDCE be the… … 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…
Geometry
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