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arxiv: 1602.02844 · v2 · pith:Y2YFRHV3new · submitted 2016-02-09 · 🧮 math.NT

Integral right triangle and rhombus pairs with a common area and a common perimeter

classification 🧮 math.NT
keywords commonintegralareapairsperimeterrhombusrighttriangle
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We prove that there are infinitely many integral right triangle and $\theta$-integral rhombus pairs with a common area and a common perimeter by the theory of elliptic curves.

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