### 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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R. Lubben (1928)

Fundamenta Mathematicae

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Bukh, Boris (2006)

The Electronic Journal of Combinatorics [electronic only]

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A. Besicovitch (1934)

Fundamenta Mathematicae

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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.

Rafał Kołodziej (1985)

Studia Mathematica

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J. Gillis (1936)

Fundamenta Mathematicae

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Csörnyei, Marianna (2000)

Annales Academiae Scientiarum Fennicae. Mathematica

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Peter Giblin, Paul Holtom (1999)

Banach Center Publications

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A centrally symmetric plane curve has a point called it’s centre of symmetry. We define (following Janeczko) a set which measures the central symmetry of an arbitrary strictly convex plane curve, or surface in ${R}^{3}$. We investigate some of it’s properties, and begin the study of non-convex cases.

Hugo Steinhaus (1954)

Colloquium Mathematicum

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E. R. Van Kampen (1937)

Compositio Mathematica

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