Principles of modern geometry, with numerious applications to plane and spherical figures; and an appendix, containing questions for exercise. Intended chiefly for the use of junior students (1862)
Mulcahy, John, 1810?-1853 · Dublin Hodges, Smith · leaf 60
corre-sponding sides are in one rightline; and the lines joining cor-responding angles meet in onepoint (In the annexed figurethe circle is not drawn.) Let ABC, ABC, be the twotriangles, A being the pole of BC,A of BC, &c., and let P, Q, R, bethe points of intersection of thecorresponding… … n 50 PROBLEMS RELATING TO THE THEORY OF POLARS. in a right line, P, T, C, B, the poles of the four lines, AA, AC,AB, AC, and, therefore (Art. 40, 5°), the anharmonic ratio R •PTCB = A • ACTQ, which again equals R • BCTQ = R . QTCB. Since R • PTCB = R • QTCB, RQ and RP are in oneright line (Art.…
Geometry -- Problems, exercises, etc · Geometry
Internet Archive · Gerstein Library, University of Toronto · Public Domain Mark 1.0. Free to use for anything.
