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 180
respectively. ABC is the requiredtriangle. 186. The base of a triangle passes through a fixed point,the base angles move on two fixed straight lines, and the sidespass through two fixed points which lie on a straight linepassing through the intersection of the two fixed lines; findthe locus of the… … Take three positions of the triangle, ABC, A!BC and A!BG,and join OL. [LAAA] = [LBBB], since each of these ratios is the anhar-monic ratio of the pencil with vertex 0. Therefore {P. LA A! A) = {Q . LBBB}. Therefore the pencils P. LAAA and Q. LBBB have a com-mon ray PQ and the same anharmonic ratio,…
Geometry
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