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 42
tly (Theo-rem 34): p = r sin /7(a), q = r cos /7(a). Now break the connection of the three principal-planes along the lineBB, and turn them out from each other so that they with all the lineslying in them come to lie in one plane, where consequently the arcs p,q, r will unite to a single arc of a… … Fig. 30.perpendicular to A A at A, the axis CC going from the end of b par-allel to AA and through C the union point of p and q, the side a per-pendicular to CC at the point C, and from the end-point of a the axisBB parallel to AA which goes through the end-point B* of the arc p. On the other side…
Geometry, Non-Euclidean
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