incentre

incentre
The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

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  • incentre — /inˈsen tər/ noun The centre of an inscribed circle or sphere ORIGIN: ↑in (1) …   Useful english dictionary

  • incentre — in|cen|tre Mot Pla Nom masculí …   Diccionari Català-Català

  • incentre — (US incenter) noun Geometry the centre of the incircle of a triangle or other figure …   English new terms dictionary

  • Euler's theorem in geometry — In geometry, Euler s theorem, named after Leonhard Euler, states that the distance d between the circumcentre and incentre of a triangle can be expressed as : d^2=R (R 2r) ,where R and r denote the circumradius and inradius respectively (the… …   Wikipedia

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  • Incircle and excircles of a triangle — A triangle (black) with incircle (blue), incentre (I), excircles (orange), excentres (JA,JB,JC), internal angle bisectors (red) and external angle bisectors (green) In geometry, the incircle or inscribed circle of a triangle is the largest circle …   Wikipedia

  • Isogonal conjugate — Isogonal coniugate of P . Isogonal coniugate transformation over the points inside the triangle.In geometry, the isogonal conjugate of a point P with respect to a triangle ABC is constructed by reflecting the lines PA , PB , and PC about the… …   Wikipedia

  • Wythoff construction — Wythoffian constructions from 3 mirrors forming a right triangle. In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling. It is often referred to as …   Wikipedia

  • Centre (geometry) — In geometry, the centre (or center, in American English) of an object is a point in some sense in the middle of the object. If geometry is regarded as the study of isometry groups then the centre is a fixed point of the isometries.CirclesThe… …   Wikipedia

  • Encyclopedia of Triangle Centers — The Encyclopedia of Triangle Centers (ETC) is an on line list of more than 3,000 points or centers associated with the geometry of a triangle. It is maintained by Clark Kimberling, Professor of Mathematics at the University of Evansville.Each… …   Wikipedia

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