Two Remarkable Families of Equilateral Triangles within the Pascal Hexagon - A Triumph for Symmetry
Peter Hilton, Jean Pedersen (1999)
Visual Mathematics
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Peter Hilton, Jean Pedersen (1999)
Visual Mathematics
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Tomohide Hashiba, Yuta Nakagawa, Toshiyuki Yamauchi, Hiroshi Matsui, Satoshi Hashiba, Daisuke Minematsu, Munetoshi Sakaguchi, Ryohei Miyadera (2007)
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Paulus Gerdes (2003)
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Bukor, József (2008)
Annales Mathematicae et Informaticae
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Čerin, Zvonko (2000)
Mathematica Pannonica
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Čerin, Z. (1997)
Mathematica Pannonica
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Dawson, Robert J. MacG., Doyle, Blair (2006)
The Electronic Journal of Combinatorics [electronic only]
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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.
Broughton, S.Allen, Haney, Dawn M., McKeough, Lori T., Smith Mayfield, Brandy (2000)
The New York Journal of Mathematics [electronic only]
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Stammler, Ludwig (1997)
Beiträge zur Algebra und Geometrie
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Davenport, Dennis, Hindman, Neil, Strauss, Dona (2002)
The Electronic Journal of Combinatorics [electronic only]
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Roland Coghetto (2016)
Formalized Mathematics
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We introduce, using the Mizar system [1], some basic concepts of Euclidean geometry: the half length and the midpoint of a segment, the perpendicular bisector of a segment, the medians (the cevians that join the vertices of a triangle to the midpoints of the opposite sides) of a triangle. We prove the existence and uniqueness of the circumcenter of a triangle (the intersection of the three perpendicular bisectors of the sides of the triangle). The extended law of sines and the formula...
Dawson, Robert J. MacG., Doyle, Blair (2006)
The Electronic Journal of Combinatorics [electronic only]
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