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Trudy Geometricheskogo Seminara, 2003, Volume 24, Pages 155–168
(Mi kutgs38)
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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.
Citation:
V. D. Tret'yakov, “On positional relationship of planes and straight
lines in the Lobachevskii space”, Tr. Geom. Semin., 24, Kazan Mathematical Society, Kazan, 2003, 155–168
Linking options:
https://www.mathnet.ru/eng/kutgs38 https://www.mathnet.ru/eng/kutgs/v24/p155
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Statistics & downloads: |
Abstract page: | 581 | Full-text PDF : | 218 |
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