Didactical Analysis of Primary Geometric Concepts
Milosav M. Marjanović (2002)
The Teaching of Mathematics
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Displaying similar documents to “The Pythagorean rule and its application, according to a Greek manuscript of the 15th century in Wien”
Didactical Analysis of Primary Geometric Concepts
The "Corolarium II" to the proposition XXIII of Saccheri's .
Albert Dou (1992)
Publicacions Matemàtiques
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This "Corolarium" of the (1733) contains an original proof of propositions 1.27 and 1.28 of Euclide's . In the same corollary Saccheri explains why he dispenses "not only with the propositions 1.27 and 1.28, but also with the very propositions 1.16 and 1.17, except when it is clearly dealt with a triangle circumscribed by alls sides"; and also why he rejects Euclide's proof. Moreover the corollarium has implications for confirmation of Saccheri's method; and also for his concept of...
On the existence of triangle with given angle and opposite angle bisectors length.
Bukor, József (2008)
Annales Mathematicae et Informaticae
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The envelope of the Wallace-Simpson lines of a triangle. A simple proof of the Steiner problem on the deltoid.
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.
Cevians as sides of triangles.
Čerin, Zvonko (2000)
Mathematica Pannonica
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Explorations and Discoveries in the Classroom
Judita Cofman (1998)
The Teaching of Mathematics
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The Area and the Side I Added: Some old Babylonian Geometry
Duncan J. Melville (2005)
Revue d'histoire des mathématiques
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There was a standard procedure in Mesopotamia for solving quadratic problems involving lengths and areas of squares. In this paper, we show, by means of an example from Susa, how area constants were used to reduce problems involving other geometrical figures to the standard form.
The double-elliptic case of the Lie-Riemann-Helmholz-Hilbert problem of the foundations of Geometry
R. Lubben (1928)
Fundamenta Mathematicae
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The maximum piercing number for some classes of convex sets with the -property.
Kynčl, Jan, Tancer, Martin (2008)
The Electronic Journal of Combinatorics [electronic only]
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Symmedians and the symmedian center of the triangle in an isotropic plane.
Kolar-Begović, Z., Kolar-Šuper, R., Beban-Brkić, J., Volenec, V. (2006)
Mathematica Pannonica
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