On integer relations between the area and perimeter of Heron triangles - Allan J. MacLeod

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    On integer relations between the area and perimeter of Heron triangles - Allan J. MacLeod​

    We discuss the relationship P^2 = nA for a triangle with integer sides, with perimeter P and area A, where n is an integer. We show that the problem reduces to finding rational points of infinite order in a family of elliptic curves. The geometry of the curves plays a crucial role in finding real triangles.

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    LTTK CTV, 7/10/19
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