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The News of Altai State University
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Content of 1(19) 2001
Mathematics and Computer Science
Physics
 
1(19)2001
Mathematics and Computer Science

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О.Y. Matukevich

The estimation of the perimeter geodesic triangle on the convex surface

In this paper consider the question about the estimation of the perimeter geodesic triangle, which consist of geodesic arc on the convex surface with Gauss curvature K>1 in the space R3.
Theorem. Let M the convex surface with K>1, than perimeter of triangle on the M smaller 4.

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