My Favorite Elliptic Curve: A Tale of Two Types of Triangles

DOI10.2307/2974502zbMath0847.11031OpenAlexW4235233886MaRDI QIDQ4870039

Richard K. Guy

Publication date: 17 March 1996

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2974502

zbMATH Keywords

rational pointselliptic curvealmost equilateral trianglesalmost right-angled trianglesmedian, bisector, altitude concurrent

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25)

Related Items (11)

Right triangle and parallelogram pairs with a common area and a common perimeter ⋮ Unnamed Item ⋮ Integral isosceles triangle-parallelogram and Heron triangle-rhombus pairs with a common area and common perimeter ⋮ On an elliptic curve involving pairs of triangles and special quadrilaterals ⋮ \({\theta}\)-triangle and \({\omega}\)-parallelogram pairs with common area and common perimeter ⋮ \(\theta\)-triangle and \(\omega\)-parallelogram pairs with areas and perimeters in certain proportions ⋮ Spherical Heron triangles and elliptic curves ⋮ Integral triangles and perpendicular quadrilateral pairs with a common area and a common perimeter ⋮ Albime triangles and Guy's favourite elliptic curve ⋮ TRIANGLE-RECTANGLE PAIRS WITH A COMMON AREA AND A COMMON PERIMETER ⋮ Rational triangle pairs and cyclic quadrilateral pairs with areas and perimeters in certain proportions

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