The shortest way to the geodesics of spheres
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2009
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| _version_ | 1866916550248759296 |
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| author | Patrão, Mauro |
| author_facet | Patrão, Mauro |
| contents | In this paper, we prove, using only elementary geometric arguments and only assuming that the curves are continuous, that the geodesics on a sphere are the minor arcs of the great circles. Our result are valid for any sphere in any inner product space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0909_3662 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | The shortest way to the geodesics of spheres Patrão, Mauro General Mathematics In this paper, we prove, using only elementary geometric arguments and only assuming that the curves are continuous, that the geodesics on a sphere are the minor arcs of the great circles. Our result are valid for any sphere in any inner product space. |
| title | The shortest way to the geodesics of spheres |
| topic | General Mathematics |
| url | https://arxiv.org/abs/0909.3662 |