A New Proof of Feuerbach’s Theorem

aspg-34-2334-1791482620 20261008180340 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Prospects for Applied Mathematics and Data Analysis PAMDA 2836-4449 2023 2 2 A New Proof of Feuerbach’s Theorem Ion Patrascu “Frații Buzești” National College, Bld. Stirbei Voda, nr. 5, Craiova, Dolj, Romania Florentin Smarandache University of New Mexico, Mathematics, Physics and Natural Sciences Division, 705 Gurley Ave., Gallup, NM 87301, USA 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]. 2023 41 44 2334 https://creativecommons.org/licenses/by/4.0/ 10.54216/PAMDA.020205 https://www.americaspg.com/journal/34/article/2334 https://www.americaspg.com/storage/61703101436.pdf