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 175
o the right of 0. The problem is now reduced to findingthe locus of a point on LQ, such that the reciprocal of its distancefrom 0 is equal to the difference of the reciprocals of OL and OQ.The locus is therefore (179) a fixed straight line. 182. On the sides of a triangle produced through theends… … Let ABC be the given triangle, and let BD : CG, BE : CH,and BF : GK be taken in the given ratio. Join Df E} F to (7, andG, E, K to B. Because the straight lines BF and CK are similarly divided,therefore (166, and Cor.) {B.CGHK}={C.BDEF}, and the pencils have different vertices B and C, and the ray…
Geometry
Internet Archive · Wellesley College Library · Public Domain Mark 1.0. Free to use for anything.
