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JOURNALS // Trudy Geometricheskogo Seminara // Archive

Tr. Geom. Semin., 2003 Volume 24, Pages 155–168 (Mi kutgs38)

On positional relationship of planes and straight lines in the Lobachevskii space

V. D. Tret'yakov


Abstract: In the present paper there are considered planes and straight lines in the Lobachevskii space. We find explicit formulas for angle between planes, give analytical description for positional relationship of planes, define angle between any straight lines, and prove theorem on existence and uniqueness of common perpendicular of skew lines.



© Steklov Math. Inst. of RAS, 2026