Heron quadrilaterals via elliptic curves
نویسندگان
چکیده
منابع مشابه
Heron Quadrilaterals via Elliptic Curves
A Heron quadrilateral is a cyclic quadri lateral whose area and side lengths are rational. In this work, we establish a correspondence between Heron quadri laterals and a family of elliptic curves of the form y2 = 3 2 x + αx2 − n x. This correspondence generalizes the no tions of Goins and Maddox who established a similar connec tion between Heron triangles and elliptic curves. We further s...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2017
ISSN: 0035-7596
DOI: 10.1216/rmj-2017-47-4-1227