The theory of the surface area of plane polygons: some steps in the mathematization of a graphic concept. (Q1305744)
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scientific article; zbMATH DE number 1342999
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The theory of the surface area of plane polygons: some steps in the mathematization of a graphic concept. |
scientific article; zbMATH DE number 1342999 |
Statements
The theory of the surface area of plane polygons: some steps in the mathematization of a graphic concept. (English)
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20 August 2001
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The concepts of equidecomposability and equicomplementability for plane polygons and the relation to the concept of area measure are described in their historical development. Especially the work of Euclid, Legendre, Gerwien, Duhamel and Hilbert is discussed and, for the corresponding development in spherical, hyperbolic and absolute geometry, the work of Gérard, Liebmann and Finzel.
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hyperbolic geometry
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equidecomposability
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equicomplementability
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plane polygons
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area measure
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