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incenter

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Definitions of incenter in various dictionaries:

noun - the point where the three lines bisecting the angles of a triangle meet

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 placeme...

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Possible Dictionary Clues
Alternative spelling of incentre.
The centre of the incircle of a triangle or other figure.

Incenter description
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 or scale. The incenter may be equivalently defined as the point where the internal angle bisectors of the triangle cross, as the point equidistant from the triangle's sides, as the junction point of the medial axis and innermost point of the grassfire transform of the triangle, and as the center point of the inscribed circle of the triangle. * Together with the centroid, circumcenter, and orthocenter, it is one of the four triangle centers known to the ancient Greeks, and the only one that does not in general lie on the Euler line. It is the first listed center, X(1), in Clark Kimberling's Encyclopedia of Triangle Centers, and the identity element of the multiplicative group of triangle centers.For polygons with more than three sides, the incenter only exists for tangential polygonsthose that have an incircle that is tangent to each side

Incenter description

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 or scale. The incenter may be equivalently defined as the point where the internal angle bisectors of the triangle cross, as the point equidistant from the triangle's sides, as the junction point of the medial axis and innermost point of the grassfire transform of the triangle, and as the center point of the inscribed circle of the triangle.
* Together with the centroid, circumcenter, and orthocenter, it is one of the four triangle centers known to the ancient Greeks, and the only one that does not in general lie on the Euler line. It is the first listed center, X(1), in Clark Kimberling's Encyclopedia of Triangle Centers, and the identity element of the multiplicative group of triangle centers.For polygons with more than three sides, the incenter only exists for tangential polygonsthose that have an incircle that is tangent to each side

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