تقرير
On the Diophantine system involving pairs of triangles with the same area and the same perimeter
| العنوان: | On the Diophantine system involving pairs of triangles with the same area and the same perimeter |
|---|---|
| المؤلفون: | Li, Yangcheng, Zhang, Yong |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11D72, 51M25, 51N10, 11G05 |
| الوصف: | Many authors studied the problem that rational triangle pairs (triangle-parallelogram pairs) with the same area and the same perimeter. They investigated this problem by solving the rational solutions of the corresponding Diophantine equations. In this paper, we give a unified description of this problem by using the affine transformation in a rectangular coordinate system. According to the fact that two triangles with the same area and the same perimeter determine an affine transformation, this problem can be reduced to solving a specific Diophantine system. Moreover, we will give some rational solutions to this Diophantine system. Comment: 24 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2303.09723 |
| رقم الأكسشن: | edsarx.2303.09723 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |