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Euler line
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==Relation to inscribed equilateral triangles== The locus of the centroids of [[equilateral triangle]]s inscribed in a given triangle is formed by two lines perpendicular to the given triangle's Euler line.<ref name=Garcia>Francisco Javier Garc ΜΔ±a Capita Μn, "Locus of Centroids of Similar Inscribed Triangles", ''[[Forum Geometricorum]]'' 16, 2016, 257β267 .http://forumgeom.fau.edu/FG2016volume16/FG201631.pdf</ref>{{rp|Coro. 4}}
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