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- W259768049 abstract "We study the symmetry group of the solutions to equations which define rational triangles with two rational medians. The group action is used to discover three new elliptic curves parametrizing such triangles which also have rational area. We prove that only finitely many of the rational triangles with two rational medians and rational area, which correspond to rational points on eight elliptic curves, can also have a third rational median. Finally, we present a new analysis of sporadic examples of such triangles along with the discovery of a new sporadic triangle." @default.
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- W259768049 date "2008-01-01" @default.
- W259768049 modified "2023-09-27" @default.
- W259768049 title "Symmetries of triangles with two rational medians" @default.
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