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The octahedron theorem in Minkowski three-space: A metric vector space proof of Miquel's theorem in the Laguerre plane - MaRDI portal

The octahedron theorem in Minkowski three-space: A metric vector space proof of Miquel's theorem in the Laguerre plane (Q1093891)

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scientific article; zbMATH DE number 4024143
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English
The octahedron theorem in Minkowski three-space: A metric vector space proof of Miquel's theorem in the Laguerre plane
scientific article; zbMATH DE number 4024143

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    The octahedron theorem in Minkowski three-space: A metric vector space proof of Miquel's theorem in the Laguerre plane (English)
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    1987
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    The author deals with the octahedron theorem in Laguerre plane and in Minkowski three-space. The cycles and spears of the real Laguerre plane are represented by the points and null planes of Minkowski space. He outlines the correspondence between these two theorems, gives a metric vector space proof of the octahedron theorem and discusses the generalization of both theorems to more general spaces.
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    Miquel's theorem
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    octahedron theorem in Laguerre plane
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    Minkowski three- space
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