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 34
K,so that the anharmonic ratio of K, A, E, C, shall be equal tothat of K, D, B, F. Construct a hexagon with the six given points, in such amanner that the first set of points, A, E, C, shall be oppositevertices to the second set, D, B, F, respectively. (In the presentcase, the hexagon ABCDEF is the… … 27) belonging to this hexagon, will cut the circle in twopoints, K, K, either of which will answer the question. For, if we suppose KD and KA to be drawn, we shall haveArt. 15) D • KAEC == A . KDBF ; therefore (Art. 25), the pointK answers the question, and in a similar manner it may beproved for…
Geometry -- Problems, exercises, etc · Geometry
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