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 87
points through which the sidescontaining the free angle pass,the locus of this angle is a rightline (the same supposition beingmade as in the last Proposition.) The figure represents the caseof a quadrilateral ABCD, in whichD is the free angle, and P, Q, R, Sthe given points. Then, takingthree… … ADDITIONAL EXAMPLES ON ANHARMONIC RATIO- 77 fore (Art. 20) D, D, D are in one right line. The locus of Dis therefore a right line. It is evident that a similar proof will apply when the poly-gon has any number of sides. Proposition 3° of Art. 19 is a particular case of this theorem. 74. The polar…
Geometry -- Problems, exercises, etc · Geometry
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