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Two Triangles with the Same Orthocenter and a Vectorial Proof of Stevanovic's Theorem

2011/02/01 by Ion Pătraşcu, Ion Patrascu, Patrascu, Ion +3
Mathematics · Physics and Astronomy · #51F20 #Advanced Mathematical Theories and Applications #FOS: Mathematics #General Mathematics (math.GM) #History and Theory of Mathematics #Mathematics and Applications #math.GM #msc:51F20

paper · pdf · doi:10.48550/arxiv.1102.0209

5 pages, 2 geometrical figures

arxiv created 2011/02/01 · openalex publication_date 2011/02/01 · arxiv updated 2011/02/02 · openalex created_date 2022/09/03 · openalex updated_date 2026/08/04

Abstract

In this article we'll emphasize on two triangles and provide a vectorial proof of the fact that these triangles have the same orthocenter. This proof will further allow us to develop a vectorial proof of the Stevanovic's theorem relative to the orthocenter of the Fuhrmann's triangle.

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