Triangle Center
A triangle center is a point whose Trilinear Coordinates are defined in terms of the side lengths and angles of aTriangle. The function giving the coordinates 
is called the Triangle Center Function.The four ancient centers are the Centroid, Incenter, Circumcenter, andOrthocenter. For a listing of these and other triangle centers, see Kimberling (1994).
A triangle center is said to be Regular Iff there is a Triangle CenterFunction which is a Polynomial in 
, 
, 
, and 
(where is the Area of theTriangle) such that the Trilinear Coordinates of the center are
A triangle center is said to be a Major Triangle Center if the Triangle Center Function
is a function of Angle 
alone, and therefore 
and 
of 
and 
alone, respectively.See also Major Triangle Center, Regular Triangle Center, Triangle, Triangle Center Function,Trilinear Coordinates, Trilinear Polar
References
Davis, P. J. ``The Rise, Fall, and Possible Transfiguration of Triangle Geometry: A Mini-History.'' Amer. Math. Monthly 102, 204-214, 1995. Dixon, R. ``The Eight Centres of a Triangle.'' §1.5 in Mathographics. New York: Dover, pp. 55-61, 1991. Gale, D. ``From Euclid to Descartes to Mathematica to Oblivion?'' Math. Intell. 14, 68-69, 1992. Kimberling, C. ``Central Points and Central Lines in the Plane of a Triangle.'' Math. Mag. 67, 163-167, 1994. Kimberling, C. ``Triangle Centers and Central Triangles.'' Congr. Numer. 129, 1-295, 1998.
- Computable Number
- Computational Complexity
- Concatenated Number Sequences
- Concatenation
- Concave
- Concave Function
- Concentrated
- Concentric
- Concentric Circles
- Conchoid
- Conchoid of de Sluze
- Conchoid of Nicomedes
- Concho-Spiral
- Concordant Form
- Concur
- Concurrent
- Concyclic
- Condition
- Conditional Convergence
- Conditional Probability
- Condition Number
- Condom Problem
- Condon-Shortley Phase
- Conductor
- Cone