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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.
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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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. For a right triangle, the orthocenter coincides with the vertex at the right angle. [2]
Altitudes (intersect at orthocenter H) Nine-point circle (centered at nine-point center N which, along with H, G, O , lies on the Euler line e ) In geometry , a triangle center or triangle centre is a point in the triangle 's plane that is in some sense in the middle of the triangle.
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The four altitudes of an orthogonal tetrahedron meet at its orthocenter. Edges AB, BC, CA are perpendicular to, respectively, edges CD, AD, BD. In geometry, an orthocentric tetrahedron is a tetrahedron where all three pairs of opposite edges are perpendicular. It is also known as an orthogonal tetrahedron since orthogonal means perpendicular.
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