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.
D. J. White (1968)
Fundamenta Mathematicae
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Judita Cofman (1998)
The Teaching of Mathematics
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R. Lubben (1928)
Fundamenta Mathematicae
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Čerin, Zvonko (2000)
Mathematica Pannonica
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Alperin, Roger C. (2000)
The New York Journal of Mathematics [electronic only]
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C. Ernesto, S. Lindgren (1974)
Gaceta Matemática
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D. Daykin (1978)
Fundamenta Mathematicae
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Sonja Brentjes (2006)
Revue d'histoire des mathématiques
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This paper introduces an anonymous and undated Arabic version of Euclid’s . It tries to determine its relationship to the textual history of the Arabic as known today. The value of the version, the paper argues, is its close relationship to the works of the first known translator of Euclid’s into Arabic, al-Ḥajjāj b.Yūsuf b.Maṭar, the light it sheds on philosophical debates surrounding the , and the new textual basis (BooksI toIX with some lacunae) it yields for the further study of...
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...