Vestnik KRAUNC. Fiz.-Mat. Nauki. 2022. vol. 39. no. 2. pp. 197–221. ISSN 2079-6641

EDUCATIONAL-METHODOLOGICAL MATERIALS

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MSC 97G40

Research Article

On some unknown results related to the nontrivial properties of ordinary triangles. Part 2

  \fbox{\textbf{B. P. Fedorov}} , S. B. Bogdanova, S.O. Gladkov

Moscow Aviation Institute, 125993, Moscow, Volokolamskoe sh., 4, Russia

E-mail: sonjaf@list.ru

It was given the detailed solution of a number of original problems formulated by B.P. Fedorov a spell ago. These problems flow organically from the study of the nontrivial properties of Euclidean triangles, including its poorly understood properties, provided with Lemoine point and Brocard point.

Key words: triangle properties, division of the sections, Lemoine point, Brocard point, Van Obel theorem.

DOI: 10.26117/2079-6641-2022-39-2-197–221

Original article submitted: 11.06.2022

Revision submitted: 15.09.2022

For citation. Fedorov B.P. , Bogdanova S. B., Gladkov S.O. On some unknown results related to the nontrivial properties of ordinary triangles. Part 2. Vestnik KRAUNC. Fiz.-mat. nauki. 2022, 39: 2, 197–221. DOI: 10.26117/2079-6641-2022-39-2-197–221

Competing interests. The authors declare that there are no conflicts of interest regarding authorship and publication.

Contribution and Responsibility. All authors contributed to this article. Authors are solely responsible for providing the final version of the article in print. The final version of the manuscript was approved by all authors.

The content is published under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/deed.ru)

© \fbox{{Fedorov B. P.}}  , Bogdanova S. B., Gladkov S. O., 2022

References

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Fedorov Boris Pavlovich (1931-2003) – Lecturer at the Department of Mathematics (1967 to 2000) at the State Humanitarian and Technological University, Orekhovo-Zueva, Russia.


Bogdanova Sofya Borisovna – Ph.D. (Phys. & Math.), Associate Professor, Associate Professor of Applied Software and Mathematical Methods, Moscow Aviation Institute (National Research University), Moscow, Russia, 0000-0001-8503-1794.


Gladkov Sergey Oktyabrinovich – D.Sc. (Phys. & Math.), Professor, Associate Professor of the Department of Applied Software and Mathematical Methods, Moscow Aviation Institute (National Research University), Moscow, Russia, ORCID 0000-0002-2755-9133.