Does the properties of a closed plane curve depend on the choice of its initial point of rounding?
https://doi.org/10.26907/2949-3919.2025.2.136-144
Abstract
We prove that the choice of an initial point of rounding of a closed plane curve influences its exterior geometry.
About the Author
I. Kh. Sabitov
Moscow State University
Russian Federation
Idzhad Khakovich Sabitov
Russian Federation
Idzhad Khakovich Sabitov
Faculty of Mechanics and Mathematics,
1 Leninskie Gory, Moscow, 119991
References
1. E. Kamke, Differentialgleichungen L¨osungsmethoden und L¨osungen. I, B.G. Teubner, Stuttgart, 1977 [in German].
2. N.V. Efimov, Qualitative problems of the theory of deformation of surfaces, Russ. Math.Surv. 3 (2), 47–158 (1948) [in Russian]. URL: https://www.mathnet.ru/rus/rm8695
3. A.D. Aleksandrov, On infinitesimal bendings of surfaces, Sb. Math. 1 (3), 307–322 (1936) [in Russian]. URL: https://www.mathnet.ru/rus/sm5391
Review
For citations:
Sabitov I.Kh. Does the properties of a closed plane curve depend on the choice of its initial point of rounding? Mathematics and Theoretical Computer Science. 2025;3(2):136-144. (In Russ.) https://doi.org/10.26907/2949-3919.2025.2.136-144
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