Definition of Incenters. Meaning of Incenters. Synonyms of Incenters

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

Definition of Incenters

Incenter
Incenter In*cen"ter, n. (Geom.) The center of the circle inscribed in a triangle.

Meaning of Incenters from wikipedia

- In geometry, the incenter of a triangle is a triangle center, a point defined for any triangle in a way that is independent of the triangle's placement...
- In geometry, the incenter–excenter lemma is the theorem that the line segment between the incenter and any excenter of a triangle, or between two excenters...
- The center of the incircle is a triangle center called the triangle's incenter. An excircle or escribed circle of the triangle is a circle lying outside...
- bicentric quadrilateral and O the center of its cir****circle. Then the incenters of the four triangles △OAB, △OBC, △OCD, △ODA lie on a circle. Wikimedia...
- diagonals, then the incenters of the four triangles are concyclic if and only if the quadrilateral is tangential. In fact, the incenters form an orthodiagonal...
- triangle's incenter (the center of its incircle). There are either one, two, or three of these for any given triangle. A line through the incenter bisects...
- it follows that the Euler line coincides with the axis of symmetry. The incenter of the triangle also lies on the Euler line, something that is not true...
- the Poncelet point of its vertices. In a cyclic quadrilateral ABCD, the incenters M1, M2, M3, M4 (see the figure to the right) in triangles DAB, ABC, BCD...
- quadrilaterals, which shows that a rectangle is formed by the two pairs of incenters corresponding to the two possible triangulations of the quadrilateral...
- angle in half. The three angle bisectors intersect in a single point, the incenter, which is the center of the triangle's incircle. The incircle is the circle...