On the area of a polygon in the hyperbolic plane (Q1267339)
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scientific article; zbMATH DE number 1208015
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the area of a polygon in the hyperbolic plane |
scientific article; zbMATH DE number 1208015 |
Statements
On the area of a polygon in the hyperbolic plane (English)
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21 July 1999
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In the present paper the area of any bounded or unbounded polygon on the hyperbolic plane is defined. In order to do this the author bases on the following three suggestions : (i) the measure of the whole plane is equal to the negative number \( -2\pi k^2\), (ii) the decomposition-equality, and (iii) the completion-equality. For the classical polyhedra the notion of area introduced in the paper coincides with the usual one. The area of unbounded polygons is allowed to be negative.
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area
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polygon
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completion-equality
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decomposition-equality
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hyperbolic plane
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