✦ LIBER ✦

Rational Triangles

✍ Scribed by Derrick N. Lehmer

Book ID: 123919481
Publisher: John Hopkins University Press
Year: 1899
Tongue: English
Weight: 385 KB
Volume: 1
Category: Article
ISSN: 0003-486X
DOI: 10.2307/1967275

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On Some Rational Triangles

✍ Artūras Dubickas 📂 Article 📅 2011 🏛 SP Birkhäuser Verlag Basel 🌐 English ⚖ 249 KB

Rational Triangles and Quadrilaterals

✍ L. E. Dickson 📂 Article 📅 1921 🏛 Mathematical Association of America 🌐 English ⚖ 702 KB

Series of Rational Triangles

✍ Sylvester Robins 📂 Article 📅 1894 🏛 Mathematical Association of America 🌐 English ⚖ 193 KB

FORMULAE FOR RATIONAL RIGHT TRIANGLES

📂 Article 📅 1910 🏛 School Science and Mathematics Association 🌐 English ⚖ 34 KB

Billiards on rational-angled triangles

✍ R. Kenyon; J. Smillie 📂 Article 📅 2000 🏛 European Mathematical Society 🌐 English ⚖ 568 KB

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