Rational cuboids and Geron triangles
The problem of existence of rational cuboids is considered in the article. Equivalent statements of this problem are obtained which lead to the existence of Heron’s triangles whose lengths are integral squares and satisfy other additional conditions. Also, the connections between Euler bricks and th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2018-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/14987 |
| Summary: | The problem of existence of rational cuboids is considered in the article. Equivalent statements of
this problem are obtained which lead to the existence of Heron’s triangles whose lengths are integral
squares and satisfy other additional conditions. Also, the connections between Euler bricks and the
Heron triangles are obtained, which correspond to additional conditions. |
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| ISSN: | 0132-2818 2335-898X |