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 256
same manner it can be proved that thepolar of P with respect to any other circle of the co-axal systempasses through Q. q. e. d. 258. If ABC, ABC be two triangles, such that A is thepole of BC, B of CA, and C of AB, then the straight linesAA, BB, CC shall meet in a point, and the correspondingsides… … Let CC and BB intersect in 0, and produce CB to meet ABin G and AC in E. Also let CA and BA meet AC and AB inZ) and i^ respectively, and join AB, AC, Since the intersection of two lines is the pole of the linejoining their poles, therefore D is the pole of BB and E of AB.Therefore the four points…
Geometry
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