𝔖 Bobbio Scriptorium
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Primitive Heron triangles revisited


Book ID
121833433
Publisher
National Council of Teachers of Mathematics
Year
1996
Weight
921 KB
Volume
89
Category
Article
ISSN
0025-5769

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πŸ“œ SIMILAR VOLUMES


Heron triangles with two fixed sides
✍ Eugen J. Ionascu; Florian Luca; Pantelimon StΔƒnicΔƒ πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 181 KB

In this paper, we study the function H (a, b), which associates to every pair of positive integers a and b the number of positive integers c such that the triangle of sides a, b and c is Heron, i.e., it has integral area. In particular, we prove that H (p, q) 5 if p and q are primes, and that H (a,

Primitive and mensurable hex-triangles
✍ Krzysztof KoΕ‚odziejczyk; John R. Reay πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 424 KB
An elliptic K3 surface associated to Her
✍ Ronald van Luijk πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 296 KB

A rational triangle is a triangle with rational sides and rational area. A Heron triangle is a triangle with integral sides and integral area. In this article we will show that there exist infinitely many rational parametrizations, in terms of s, of rational triangles with perimeter 2s(s + 1) and ar