An Application of Sondat’s Theorem Regarding the Orthohomological Triangles

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An Application of Sondat’s Theorem Regarding the Orthohomological Triangles

Ion Pătraşcu, “Fraţii Buzeşti” National College, Craiova, Romania; Florentin Smarandache, ENSIETA, Brest, France. In this article we prove the Sodat’s theorem regarding the orthohomological triangle and then we use this theorem and Smarandache-Patrascu’s theorem in order to obtain another theorem regarding the orthohomological triangles. Theorem (P. Sondat) Consider the orthohomological triangles ABC , A1 B1C1 . We note Q , Q1 their orthological centers, P the homology center and d their homological axes. The points P , Q , Q1 belong to a line that is perpendicular on d P

Q A1

B1

C1 C’

B’ C B A

A’

d


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An Application of Sondat’s Theorem Regarding the Orthohomological Triangles by Florentin Smarandache - Issuu