Definition of Incenter. Meaning of Incenter. Synonyms of Incenter

- 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...
- 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...
- 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...
- 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...
- incircle of the quadrilateral or its inscribed circle, its center is the incenter and its radius is called the inradius. Since these quadrilaterals can be...
- triangles formed from the four orthocentric points taken three at a time. The incenter of this common orthic triangle must be one of the original four orthocentric...
- bases are collinear with the incenter. In a tangential trapezoid, the midpoints of the legs are collinear with the incenter. Pascal's theorem (also known...
- and centers of these circles are called inradius and cir****radius, and incenter and cir****center respectively. From the definition it follows that bicentric...
- 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 Nagel point, the centroid, and the incenter are collinear on a line called the Nagel line. The incenter is the Nagel point of the medial triangle;...