A case of the 3-dimensional problem of Appollonius.
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Displaying 1 – 20 of 21
A characterization of all equilateral triangles in .
Chandler, Ray, Ionascu, Eugen J. (2008)
Integers
A generalization of a two triangle inequality.
George A. Tsintsifas (1987)
Elemente der Mathematik
A new butterfly curve. (Eine neue Schmetterlingskurve.)
Sliepčiević, Ana (2005)
Mathematica Pannonica
A new proof of Morley's theorem
Alain Connes (1998)
Publications Mathématiques de l'IHÉS
A note on -chordal polygons.
Krasopoulos, Panagiotis T. (2008)
APPS. Applied Sciences
A note on ovals and their evolutoides.
Hamann, Marco (2009)
Beiträge zur Algebra und Geometrie
A pair of general triangle inequalities.
W. Gmeiner (1989)
Elemente der Mathematik
A parametrization of equilateral triangles having integer coordinates.
Ionascu, Eugen J. (2007)
Journal of Integer Sequences [electronic only]
A proof of Atiyah's conjecture on configurations of four points in Euclidean three-space.
Eastwood, Michael, Norbury, Paul (2001)
Geometry & Topology
A Synopsis of Elementary Results in Pure Mathematics [Book]
George Shoobridge Carr (1886)
About a determinant of rectangular matrix and its geometric interpretation.
Radić, Mirko (2005)
Beiträge zur Algebra und Geometrie
Achèvement de la démonstration géométrique élémentaire donnée par Steiner pour ce théorème : «le cercle possède la plus grande parmi toutes les figures planes isopérimètres»
H. Edler (1883)
Bulletin des Sciences Mathématiques et Astronomiques
Algebraic proofs for geometric statements.
Cipu, Mihai (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
Altitude, Orthocenter of a Triangle and Triangulation
Roland Coghetto (2016)
Formalized Mathematics
We introduce the altitudes of a triangle (the cevians perpendicular to the opposite sides). Using the generalized Ceva’s Theorem, we prove the existence and uniqueness of the orthocenter of a triangle [7]. Finally, we formalize in Mizar [1] some formulas [2] to calculate distance using triangulation.
An Analogue of the Pythagorean Theorem with Regualr n-Gons instead of Squares.
Darko Veljan (1996)
Elemente der Mathematik
An elementary proof of Blundon's inequality.
Dospinescu, Gabriel, Lascu, Mircea, Pohoata, Cosmin, Tetiva, Marian (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
An elementary proof of the Theorem of Beckmann and Quarles.
Walter Benz (1987)
Elemente der Mathematik
An Upper Bound for the Minimum Diameter of Integral Point Sets.
H. Harborth, A. Kemnitz, M. ` Möller (1993)
Discrete & computational geometry
Areas of certain polygons in connection with determinants of rectangular matrices.
Radić, Mirko (2008)
Beiträge zur Algebra und Geometrie
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