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

Ion Patrascu; Florentin Smarandache

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arXiv · 1102.0209

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

Ion Patrascu·Florentin Smarandache

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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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Ion Patrascu, Florentin Smarandache. 2011-02-01. Two Triangles with the Same Orthocenter and a Vectorial Proof of Stevanovic's Theorem. https://arxiv.org/abs/1102.0209

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