Envelopes of slant lines in the hyperbolic plane
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http://siba-ese.unile.it/index.php/notemat/article/view/15852
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资源简介:
In this paper we consider envelopes of families of equidistant curves and horocycles in the hyperbolic plane. As a special case, we consider a kind of evolutes as the envelope of normal equidistant families of a curve. The hyperbolic evolute of a curve is a special case. Moreover, a new notion of horocyclic evolutes of curves is induced. We investigate the singularities of such envelopes and introduce new invariants in the Lie algebra of the Lorentz group.
提供机构:
University of Salento
创建时间:
2016-04-12



