Forum Geometricorum

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Quadrilateral polygon with four sides and four corners

In Euclidean plane geometry, a quadrilateral is a polygon with four edges (sides) and four vertices (corners). Sometimes, the term quadrangle is used, by analogy with triangle, and sometimes tetragon for consistency with pentagon (5-sided) and hexagon (6-sided), or 4-gon for consistency with k-gons for arbitrary values of k.

Felix Klein German mathematician, author of the Erlangen Program

Christian Felix Klein was a German mathematician and mathematics educator, known for his work with group theory, complex analysis, non-Euclidean geometry, and on the associations between geometry and group theory. His 1872 Erlangen program, classifying geometries by their basic symmetry groups, was an influential synthesis of much of the mathematics of the time.

Rectangle Quadrilateral with four right angles

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Equilateral triangle triangle with three equal sides

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Harold Scott MacDonald Coxeter Canadian mathematician

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Incenter

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Transformation geometry

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Japanese theorem for cyclic polygons Any way one triangulates a cyclic polygon, the sum of inradii of triangles is constant

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Concentric objects

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Joram Lindenstrauss Israeli mathematician

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Károly Bezdek Hungarian-Canadian mathematician

Károly Bezdek is a Hungarian-Canadian mathematician. He is a professor as well as a Canada Research Chair of mathematics and the director of the Centre for Computational and Discrete Geometry at the University of Calgary in Calgary, Alberta, Canada. Also he is a professor of mathematics at the University of Pannonia in Veszprém, Hungary. His main research interests are in geometry in particular, in combinatorial, computational, convex, and discrete geometry. He has authored 3 books and more than 120 research papers. He is a founding Editor-in-Chief of the e-journal Contributions to Discrete Mathematics (CDM).

Kosnitas theorem Concurrency of lines connecting to certain circles associated with an arbitrary triangle

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Wilhelm Fuhrmann

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<i>International Journal of Geometry</i> Academic journal

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References

  1. Kimberling, Clark (2003), Geometry in Action: A Discovery Approach Using the Geometer's Sketchpad, Springer, p. 111, ISBN   9781931914024 .
  2. "Journal Information for "Forum Geometricorum. A Journal on Classical Euclidean Geometry and Related Areas"", MathSciNet , American Mathematical Society, retrieved 2015-08-26.
  3. zbMath - Forum Geometricorum - A Journal on Classical Euclidean Geometry and Related Areas, European Mathematical Society , retrieved 2020-05-28.