Geometrical researches on the theory of parallels (1914)
Lobachevskiĭ, N. I. (Nikolaĭ Ivanovich), 1792-1856, Halsted, George Bruce, 1853-1922, Lobachevskiĭ, N. I. (Nikolaĭ Ivanovich), 1792-1856. Geometrische Untersuchungen zur Theorie der Parallellinien English · Chicago [etc.] Open Court Publishing Company · leaf 34
Fig. 21. … 30 THEORY OF PARALLELS. Since in the triangle LGM the perpendicular HK can not meet withMG (Theorem 29), therefore it must cut LG somewhere in P, whencefollows, that HK is parallel to DE (Theorem 16), and to MG (Theorems18 and 25). Put the side BC = 2a, AC = 2b, AB = 2c, and designate the an-gles…
Geometry, Non-Euclidean
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