Triangles with three rational medians

[摘要] 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. (C) 2002 Elsevier Science (USA).

[发布日期] 2002-11-01