Integral Right Triangle and Rhombus Pairs with a Common Area and a Common Perimeter
نویسندگان
چکیده
We prove that there are infinitely many integral right triangle and θ-integral rhombus pairs with a common area and a common perimeter by the theory of elliptic curves.
منابع مشابه
Integral Isosceles Triangle-Parallelogram and Heron triangle-Rhombus Pairs with a Common Area and Common Perimeter.
In this paper we show that there are infinitely many pairs of integer isosceles triangles and integer parallelograms with a common (integral) area and common perimeter. We also show that there are infinitely many Heron triangles and integer rhombuses with common area and common perimeter. As a corollary, we show there does not exist any Heron triangle and integer square which have a common area...
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