Measurements of curvilineal angles.
van Asch, A.G., van der Blij, F. (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Displaying similar documents to “The double-elliptic case of the Lie-Riemann-Helmholz-Hilbert problem of the foundations of Geometry”
Measurements of curvilineal angles.
Plane sets with intersections of prescribed power
D. J. White (1968)
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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.
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Henry Blumberg (1939)
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Length, shape and area
Hugo Steinhaus (1954)
Colloquium Mathematicum
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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...
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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On tangents to general sets of points
A. Besicovitch (1934)
Fundamenta Mathematicae
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The rotation number of some transformation related to billiards in an ellipse
Rafał Kołodziej (1985)
Studia Mathematica
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Some Facts about Trigonometry and Euclidean Geometry
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...