Hyperbolic Heron triangles and elliptic curves
نویسندگان
چکیده
We define hyperbolic Heron triangles (hyperbolic with “rational” side-lengths and area) parametrize them in two ways via rational points of certain elliptic curves. show that there are infinitely many one angle α area A for any (admissible) choice A; particular, the congruent number problem has always solutions setting. also explore question a median bisector (median splitting triangle half).
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2022
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2022.01.010