Triangles with Three Rational Medians |
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| Authors: | Ralph H. Buchholz |
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| Affiliation: | Department of Defence, 5076, Kingston, ACT 2604, Australiaf1ralph@defcen.gov.auf1 |
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| Abstract: | We present a characterization of all rational sided triangles with three rational medians. It turns out that they each correspond to a point on a one-parameter family of elliptic curves. It is possible to show that the rank of this family is at least two and in fact some reasonably high rank curves appear among them. |
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