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 61
ning lines will meet thecircle in six points, oneset of which, P, Q, R (seefig.), will be the verticesof one of the inscribedtriangles, and the remaining set will belong to the other. It will evidently be sufficient to prove that the points P,C, Q are in directum, as the same argument will apply to… … M. THE RADICAL AXIS. 51 line is also cut harmonically by the circle (Art. 39), the threepoints P, C, S remaining unchanged ; therefore, it will cut thecircle and NL in the same point, that is, it will pass through Q. This demonstration is taken from Salmons Conic Sections,Art. 322. If the three…
Geometry -- Problems, exercises, etc · Geometry
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