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The isogonal conjugate of the orthocenter is the circumcenter of the triangle. [10] The isotomic conjugate of the orthocenter is the symmedian point of the anticomplementary triangle. [11] Four points in the plane, such that one of them is the orthocenter of the triangle formed by the other three, is called an orthocentric system or ...
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Orthocentric system.Any point is the orthocenter of the triangle formed by the other three. In geometry, an orthocentric system is a set of four points on a plane, one of which is the orthocenter of the triangle formed by the other three.
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The three altitudes of a triangle intersect at the orthocenter, which for an acute triangle is inside the triangle. The orthocenter of a triangle, usually denoted by H, is the point where the three (possibly extended) altitudes intersect. [1] [2] The orthocenter lies inside the triangle if and only if the triangle is acute.
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