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 76
he contacts areall external, and for the other all internal.) Now (Art. 65 4°),the lines QQ and PP meet at C, the external centre of simi-litude of the two given circles A, B (see fig.) ; and, also, PQ,PQ, and PQ meet at R, the internal centre of similitudeof the required pair of circles. Again… … 66 ADDITIONAL EXAMPLES ON the rectangles CQ • CQ, CT • CT are equal, and therefore Cis a point 011 the radical axis of the required pair of circles.Hence it immediately follows that this radical axis is the exter-nal axis of similitude of the three given circles, and is thereforegiven. Moreover, if…
Geometry -- Problems, exercises, etc · Geometry
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