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 261
t and MR is ofconstant length. Also, since MN and AC are parallel and CLMis a right angle, therefore LMN is a right angle, and thereforeLM always touches the fixed circle with centre N and radius NM. Q. E. D. 264. Given the base and the sum of the sides of a triangle;the polar of the vertex with… … circle. Let D be the middle point of BC and AG the bisector ofthe external vertical angle CAF. Therefore DG is half the sum of the sides, and the locus of Gis a fixed circle with centre D and radius DG (24). Let this circlemeet CG again in F, and let LM the polar of A with respect to theorigin C…
Geometry
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