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Tolstoy's Oval
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Tolstoy's Oval
Annotation
PII
S0233-36190000622-2-1
Publication type
Article
Status
Published
Authors
Yliya Chudova  Valeriy Ochkov
Edition
ENERGY 01'2024
Pages
15-29
Abstract

In this article, the authors discuss what an oval is and what an ellipse is not only from the point of view of a mathematician, but also of a philologist. It is shown how to simply and elegantly construct these and other closed curves in the environment of the mathematical program SMath. The questions of transition curves for railroad transportation are touched upon.

Keywords
oval; ellipse; geometry; philology; Tolstoy
Date of publication
20.02.2024
Number of purchasers
9
Views
59
Readers community rating
0.0 (0 votes)
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References



Additional sources and materials

1. 	SMath i Python: uchebnoe posobie dlya vuzov / V.F. Ochkov, K.A. Orlov, Yu. V. Chudova [i dr.]. Sankt-Peterburg: Lan'. 2023. 212 s. (http://twt.mpei.ac.ru/ochkov/EC-SMath.pdf).	 

2. 	Ochkov V.F., Nori M. Novyj ehllips ili Matematicheskij farforovyj serviz / Cloud of Science. Tom 5. № 3. 2018. S. 240-267 (http://twt.mpei.ac.ru/ochkov/Tschirnhaus.pdf).	 

3. 	Ochkov V., Nori M., Borovinskaya E., Reschetilowski W. A New Ellipse or Math Porcelain Service. Symmetry 2019, 11, 184 (https://www.mdpi.com/2073-8994/11/2/184).	 

4. 	Ochkov V., Vasileva I., Borovinskaya E., Rechetilowski W. Approximation of Generalized Ovals and Lemniscates towards Geometric Modeling. Mathematics 2021, 9, 3325.	 

5. 	Lev Tolstoj i matematika / V.F. Ochkov, N.A. Ochkova. 3-e izd., ispr. i dop. Moskva: MPGU, 2023. 208 s. (http://twt.mpei.ac.ru/ochkov/Tolstoy-Math-3.pdf).	 

6. 	https://mathcurve.com/courbes2d.gb/cassini/cassini.shtml.	 

7. 	https://blogs.ams.org/visualinsight/2016/11/15/bunimovich-stadium.	 

8. 	V.F. Ochkov, E.P. Bogomolova, D.A. Ivanov, K. Pisachich. Dvizheniya planet: raschyot i vizualizatsiya v srede Mathcad, ili Chasy Keplera / Cloud of Science. 2015. T. 2. № 2 (http://www.twt.mpei.ac.ru/ochkov/Planets.pdf).

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