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incenter

American

[in-sen-ter] / ˈɪnˌsɛn tər /

noun

Geometry.

the center of an inscribed circle; that point where the bisectors of the angles of a triangle or of a regular polygon intersect.

Etymology

Origin of incenter

First recorded in 1900–05; in- ¹ + center

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incenter

The bisectors of the various interior and exterior angles of a triangle are concurrent by threes in the incenter or in one of the three excenters of the triangle.

From The Teaching of Geometry by David Eugene Smith

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023