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On Some Rational Triangles

✍ Scribed by Artūras Dubickas


Book ID
105751834
Publisher
SP Birkhäuser Verlag Basel
Year
2011
Tongue
English
Weight
249 KB
Volume
9
Category
Article
ISSN
1660-5446

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📜 SIMILAR VOLUMES


Triangles with Three Rational Medians
✍ Ralph H. Buchholz 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 905 KB

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