Geometric Constructions through Ordered Sets
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909808353869824 |
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| author | Morozova, Liudmyla |
| author_facet | Morozova, Liudmyla |
| contents | This work discusses an approach to solving geometric construction problems in which the given figure is included in a set ordered by construction steps. The flow of information is carried through the chain, allowing the original problem to be transformed and solved in a broader context. For demonstration, three classical tasks of construction are considered: proportional segments, a Gothic detail, and proportional angles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_19361 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometric Constructions through Ordered Sets Morozova, Liudmyla General Mathematics 51-XX This work discusses an approach to solving geometric construction problems in which the given figure is included in a set ordered by construction steps. The flow of information is carried through the chain, allowing the original problem to be transformed and solved in a broader context. For demonstration, three classical tasks of construction are considered: proportional segments, a Gothic detail, and proportional angles. |
| title | Geometric Constructions through Ordered Sets |
| topic | General Mathematics 51-XX |
| url | https://arxiv.org/abs/2509.19361 |