Geodesic
On some unknown results related to the nontrivial properties of ordinary triangles. part 2
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 39 (2022) no. 2, pp. 197-221 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: triangle properties, division of the sections, Van Obel theorem.
Mots-clés : Lemoine point, Brocard point 
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     title = {On some unknown results related to the nontrivial properties of ordinary triangles. part 2},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
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     url = {http://geodesic.mathdoc.fr/item/VKAM_2022_39_2_a13/}
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B. P. Fedorov; S. B. Bogdanova; S. O. Gladkov. On some unknown results related to the nontrivial properties of ordinary triangles. part 2. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 39 (2022) no. 2, pp. 197-221. http://geodesic.mathdoc.fr/item/VKAM_2022_39_2_a13/

[1] \fbox {Fedorov B. P.}, Bogdanova S. B., Gladkov S. O., “O nekotorykh neizvestnykh rezultatakh, svyazannykh s netrivialnymi svoistvami obychnykh treugolnikov. Ch. I.”, Vestnik KRAUNTs. Fiz.-mat. nauki, 37:4 (2021), 216–234

[2] https://faculty.evansville.edu/ck6/encyclopedia/etc.html

[3] Ponarin Ya. P., Elementarnaya geometriya: Planimetriya, preobrazovaniya ploskosti, v. 1, MTsNMO, M., 2004, 312 pp.

[4] Prasolov V. V., Zadachi po planimetrii, V 2 ch., Nauka, M., 1991, 320 pp.

[5] Efremov D. D., Novaya geometriya treugolnika, URSS, M., 2015, 352 pp.

[6] Sharygin I. F., Reshenie zadach, Ucheb. posobie dlya 10 kl, Prosveschenie, M., 1994, 252 pp.

[7] Sharygin I. F., Golubev V. I., Fakultativnyi kurs po matematike. Reshenie zadach, Uchebnoe Posobie dlya 11 kl, Prosveschenie, M., 1991, 384 pp.

[8] Prasolov V. V., Tochki Brokara i izogonalnoe sopryazhenie, MTsMNO, M., 2000, 24 pp.