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 28
every line AK from the point A, drawn within theangle BAE, cut the line CD somewhere in the point K, how small soeverthe angle BAK might be. Upon the prolongation of AK take at random a point L and join it THEORY OF PARALLELS. 23 with C by the line CL, which must out EF somewhere in M, thus mak-ing… … Fia. 13. Now let the parallels AB and CD (Fig. 13) lie in two planes whoseintersection line is EF. From a random point E of this latter letfall a perpendicular EA upon one of the two parallels, e. g., upon AB,then from A, the foot of the perpendicular EA, let fall a new perpen-dicular AC upon the…
Geometry, Non-Euclidean
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