Some incidence theorems and integrable discrete equations (Q2509094)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some incidence theorems and integrable discrete equations |
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Some incidence theorems and integrable discrete equations (English)
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16 October 2006
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In 1848, Möbius published a generalization of Pascal's Theorem about hexagons inscribed in a conic section. The author reformulates Möbius' Theorem in two different ways which enables him to easily derive both the double cross-ratio equation and the Hietarinta equation. He demonstrates that the construction corresponding to the double cross-ratio is a reduction to a conic section of some planar configuration.
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planar projective geometry
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incidence theorem
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Pascal theorem
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Hietarinta equation
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cross-ratio
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planar configuration
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