Geodesic
Directed angles and isogonality
Matematičeskoe obrazovanie, no. 1 (2024), pp. 2-11 
A. N. Afanasyev. Directed angles and isogonality. Matematičeskoe obrazovanie, no. 1 (2024), pp. 2-11. http://geodesic.mathdoc.fr/item/MO_2024_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The article continues the topic of using directed angles in the proofs of some planimetry theorems, considered by the author in previous articles. In particular, several statements related to isogonality have been proven using directed angles.

[1] A. N. Afanasev, “Orientirovannye ugly, obobschennye pedalnye treugolniki i obobschennye pryamye Simsona”, Matematicheskoe obrazovanie, 2022, no. 4 (104), 2–10

[2] A. N. Afanasev, “Esche odno dokazatelstvo teoremy Morleya”, Matematicheskoe obrazovanie, 2023, no. 2 (106), 12–16

[3] R. A. Johnson, “Directed angles in elementary geometry”, The American Mathematical Monthly, Vol. XXIV:3 (1917), 243–264 | DOI | MR

[4] S. I. Zetel, Novaya geometriya treugolnika, Gosudarstvennoe uchebno-pedagogicheskoe izdatelstvo ministerstva prosvescheniya RSFSR, M., 1962

[5] D. Prokopenko, “Izogonalnoe sopryazhenie i pedalnye treugolniki”, Kvant, 2017, no. 9, 38–44

[6] V. V. Prasolov, Tochki Brokara i izogonalnoe sopryazhenie, Izdatelstvo Moskovskogo tsentra nepreryvnogo matematicheskogo obrazovaniya, M., 2000