1
“Frații Buzești” National College, Bld. Stirbei Voda, nr. 5, Craiova, Dolj, Romania
(patrascu_ion@yahoo.com)
2
University of New Mexico, Mathematics, Physics and Natural Sciences Division, 705 Gurley Ave., Gallup, NM 87301, USA
(smarand@unm.edu)
Abstract :
Feuerbach’s theorem on the tangent of the circle of the nine points and the inscribed and exinscribed circle is considered one of the most beautiful theorems in geometry. In this paper, we offer a basic proof of this theorem starting from one of Gh. Buicliu’s ideas [1].
Keywords :
Feuerbach’s theorem: circle of the nine points; inscribed circles; exinscribed circles
References :
[1]. Gh. Buicliu: Probleme de construcții geometrice cu rigla și compasul. Tehnica (publishing house), Bucharest, 1967.
[2]. Florentin Smarandache, Ion Patrascu: The Geometry of Homological Triangles. Education Publisher, Colombus, Ohio, 2012.
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MLA | Ion Patrascu, Florentin Smarandache. "A New Proof of Feuerbach’s Theorem." Prospects for Applied Mathematics and Data Analysis, Vol. 2, No. 2, 2023 ,PP. 41-44 (Doi : https://doi.org/10.54216/PAMDA.020205) |
APA | Ion Patrascu, Florentin Smarandache. (2023). A New Proof of Feuerbach’s Theorem. Journal of Prospects for Applied Mathematics and Data Analysis, 2 ( 2 ), 41-44 (Doi : https://doi.org/10.54216/PAMDA.020205) |
Chicago | Ion Patrascu, Florentin Smarandache. "A New Proof of Feuerbach’s Theorem." Journal of Prospects for Applied Mathematics and Data Analysis, 2 no. 2 (2023): 41-44 (Doi : https://doi.org/10.54216/PAMDA.020205) |
Harvard | Ion Patrascu, Florentin Smarandache. (2023). A New Proof of Feuerbach’s Theorem. Journal of Prospects for Applied Mathematics and Data Analysis, 2 ( 2 ), 41-44 (Doi : https://doi.org/10.54216/PAMDA.020205) |
Vancouver | Ion Patrascu, Florentin Smarandache. A New Proof of Feuerbach’s Theorem. Journal of Prospects for Applied Mathematics and Data Analysis, (2023); 2 ( 2 ): 41-44 (Doi : https://doi.org/10.54216/PAMDA.020205) |
IEEE | Ion Patrascu, Florentin Smarandache, A New Proof of Feuerbach’s Theorem, Journal of Prospects for Applied Mathematics and Data Analysis, Vol. 2 , No. 2 , (2023) : 41-44 (Doi : https://doi.org/10.54216/PAMDA.020205) |