Visualization of the Lobachevskian plane (Q2782190)
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scientific article; zbMATH DE number 1727730
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Visualization of the Lobachevskian plane |
scientific article; zbMATH DE number 1727730 |
Statements
28 April 2002
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Mathematica package L2primitives
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hyperbolic geometry
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Visualization of the Lobachevskian plane (English)
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Between Euclid's time and 1829, the conviction that Postulate V depends on I--IV Axioms was so strong that no one recognized the basis for new geometry. ``The assumption that the sum of three angles is less than \(180^\circ\) leads to some curious geometry, quite different than ours, but thoroughly consistent'' (Carl Friedrich Gauss on 8 Nov 1824).NEWLINENEWLINENEWLINEIn order to present some of this ``new'', ``curious'' geometry we have created Mathematica package ``L2Primitives''.NEWLINENEWLINENEWLINEContents: About ``L2Primitives''; hyperbolic geometry; some further applications and exhibition; references.
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