Basic Parameters of the Kimberling Center X(60)
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Let be the incenter of the triangle . The Euler lines of the four triangles , , , intersect at the Schiffler point (see the related links).
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Contributed by: Minh Trinh Xuan (August 25)
Open content licensed under CC BY-NC-SA
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A triangle center is said to be even when its barycentric coordinates can be expressed as a function of three variables , , that all occur with even exponents. If the center of a triangle has constant barycentric coordinates, it is called a neutral center (the centroid is the only neutral center). A triangle center is said to be odd if it is neither even nor neutral.
Standard barycentric coordinates of a point with respect to a reference triangle have a sum of 1.
Reference
[1] C. Kimberling. "Encyclopedia of Triangle Centers." (Jul 19, 2023) faculty.evansville.edu/ck6/encyclopedia.
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