Contributions in geometry (Q2763511)
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scientific article; zbMATH DE number 1692243
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Contributions in geometry |
scientific article; zbMATH DE number 1692243 |
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16 January 2002
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affine space
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Euclidean space
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vector space
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isometry group
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similitude
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affine transformations
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fundamental theorem in affine geometry
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Contributions in geometry (English)
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This work contains five notes. 1. Starting from an axiomatic definition of the equipolence, some considerations about the notions of vector and affine space are given. 2. Affine transformations and some forms of the fundamental theorem in affine geometry are studied. 3. Some properties of similitudes of a Euclidean space are obtained. 4. The maximal subgroup of the group of positive isometries of an affine Euclidean space is studied. 5. The applications preserving a given oriented angle in a Euclidean plane are analyzed.
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0.7282401323318481
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0.7256891131401062
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