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Heron Triangles and their Elliptic Curves
Journal of Number Theory ( IF 0.6 ) Pub Date : 2020-08-01 , DOI: 10.1016/j.jnt.2019.12.005
Lorenz Halbeisen , Norbert Hungerbühler

Abstract In geometry, a Heron triangle is a triangle with rational side lengths and integral area. We investigate Heron triangles and their elliptic curves. In particular, we provide some new results concerning Heron triangles and give elementary proofs for some results concerning Heronian elliptic curves.

中文翻译:

苍鹭三角形及其椭圆曲线

摘要 在几何学中,Heron 三角形是边长为有理数且面积为整数的三角形。我们研究了 Heron 三角形及其椭圆曲线。特别是,我们提供了一些关于 Heron 三角形的新结果,并给出了一些关于 Heron 椭圆曲线的结果的基本证明。
更新日期:2020-08-01
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