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Euler line
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===Tetrahedron=== {{Main article|Tetrahedron#Properties analogous to those of a triangle}} A [[tetrahedron]] is a [[three-dimensional space|three-dimensional]] object bounded by four triangular [[face (geometry)|faces]]. Seven lines associated with a tetrahedron are concurrent at its centroid; its six midplanes intersect at its [[Monge point]]; and there is a circumsphere passing through all of the vertices, whose center is the circumcenter. These points define the "Euler line" of a tetrahedron analogous to that of a triangle. The centroid is the midpoint between its Monge point and circumcenter along this line. The center of the [[twelve-point sphere]] also lies on the Euler line.
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