Miguel de Guzmán (2001)
RACSAM
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A simple proof is presented of a famous, and difficult, theorem by Jakob Steiner. By means of a straightforward transformation of the triangle, the proof of the theorem is reduced to the case of the equilateral triangle. Several relations of the Steiner deltoid with the Feuerbach circle and the Morley triangle appear then as obvious.
Fevens, Thomas, Hernandez, Antonio, Mesa, Antonio, Morin, Patrick, Soss, Michael, Toussaint, Godfried (2001)
Beiträge zur Algebra und Geometrie
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Radić, M., Pogány, T.K., Kadum, V. (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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Dshalalow, J.H. (ed.) (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Francis, Richard L. (2004)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Richard, Christoph, Jensen, Iwan, Guttmann, Anthony J. (2008)
The Electronic Journal of Combinatorics [electronic only]
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Kovalenko, Igor N. (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Bukor, József (2008)
Annales Mathematicae et Informaticae
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Roland Coghetto (2014)
Formalized Mathematics
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We calculate the values of the trigonometric functions for angles: [XXX] , by [16]. After defining some trigonometric identities, we demonstrate conventional trigonometric formulas in the triangle, and the geometric property, by [14], of the triangle inscribed in a semicircle, by the proposition 3.31 in [15]. Then we define the diameter of the circumscribed circle of a triangle using the definition of the area of a triangle and prove some identities of a triangle [9]. We conclude by...
Carlo Boldrighini, Michael Keane, Federico Marchetti (1976)
Publications mathématiques et informatique de Rennes
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Góźdź, Stanisław (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Pech, P. (1994)
Mathematica Pannonica
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Čerin, Zvonko (2000)
Mathematica Pannonica
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