Definition of Orthocenter. Meaning of Orthocenter. Synonyms of Orthocenter

Here you will find one or more explanations in English for the word Orthocenter. Also in the bottom left of the page several parts of wikipedia pages related to the word Orthocenter and, of course, Orthocenter synonyms and on the right images related to the word Orthocenter.

Definition of Orthocenter

Orthocenter
Orthocenter Or`tho*cen"ter, n. [Ortho- + center.] (Geom.) That point in which the three perpendiculars let fall from the angles of a triangle upon the opposite sides, or the sides produced, mutually intersect.

Meaning of Orthocenter from wikipedia

- The orthocenter of a triangle, usually denoted by H, is the point where the three (possibly extended) altitudes intersect. The orthocenter lies inside...
- cosines. The orthocenter of a triangle, usually denoted by H, is the point where the three (possibly extended) altitudes intersect. The orthocenter lies inside...
- 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. Equivalently, the lines p****ing...
- three altitudes intersect in a single point, called the orthocenter of the triangle. The orthocenter lies inside the triangle if and only if the triangle...
- several important points determined from the triangle, including the orthocenter, the cir****center, the centroid, the Exeter point and the center of the...
- midpoint of the line segment from each vertex of the triangle to the orthocenter (where the three altitudes meet; these line segments lie on their respective...
- concurrent. This common point is called the tetrahedron orthocenter (a generalization of the orthocenter of a triangle). It has the property that it is the...
- polar circle of a triangle is the circle whose center is the triangle's orthocenter and whose squared radius is r 2 = H A ¯ × H D ¯ = H B ¯ × H E ¯ = H C...
- Since these intersect at the right-angled vertex, the right triangle's orthocenter—the intersection of its three altitudes—coincides with the right-angled...
- mathematician Gaston Albert Gohierre de Longchamps. It is the reflection of the orthocenter of the triangle about the cir****center. Let the given triangle have vertices...