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On lattice points which become vertices of Heronian triangles II (Logic, Language, Algebraic system and Related Areas in Computer Science)

On lattice points which become vertices of Heronian triangles II (Logic, Language, Algebraic system and Related Areas in Computer Science)
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Heronian Triangles Are Lattice Triangles

American Mathematical Monthly, 2001
(2001). Heronian Triangles Are Lattice Triangles. The American Mathematical Monthly: Vol. 108, No. 3, pp. 261-263.
Paul Yiu
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Determination of Heronian Triangles

The Fibonacci Quarterly, 1970
Answering a question raised by \textit{Ø. Ore} [Invitation to number theory. New York: Random House (1967; Zbl 0233.10001)], we determine completely all triangles having integral sides and area. Explicit formulae are given and we show that an infinitude of such triangles exist having any given integer greater than two as one side.
J. Carlson
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Almost Equilateral Heronian Triangles

Mathematics Magazine, 2020
A Heronian triangle is one whose sides (a, b, c) and area K are integers. An almost equilateral Heronian triangle is a Heronian triangle whose sides are consecutive integers such as (3, 4, 5), with...
Roger Nelsen
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All Pairs of Right Heronian Triangles that Compose to a Right Heronian Triangle

Mathematics Magazine
Summary Triangles with integer sidelengths and integer area are called Heronian. When pairs of right Heronian triangles “glue” along a common leg, a Heronian triangle is produced but it is not necessarily right.
Elias Lampakis
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Some Corrections to Carlson’s “Determination of Heronian Triangles”

The Fibonacci Quarterly, 1973
In [ 1 ] , Carlson presents a determination of all Heroniantriangles, i .e . , triangles with integral sides and area. He correct ly shows that every such triangle, or a multiple thereof, can be split into two Pythagorean tr iangles, i . e .
David Singmaster
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On fundamental Heronian triangles

Mathematical Notes, 1994
The author gives exhaustive parametric formulae for the sides and area of fundamental Heronian triangles (for which these entities are integers).
S. S. Kozhegel’dinov
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Heronian Triangles with Sides in Arithmetic Progression: An Inradius Perspective

Mathematics Magazine, 2012
SummaryIn this note we give a method to generate all Heronian triangles with sides in arithmetic progression (H.A.P. triangles) and show that all Brahmagupta triangles can be generated as solutions of a difference equation with certain initial conditions.
Herb Bailey, William Gosnell
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A Result for Heronian Triangles

The Fibonacci Quarterly, 1967
J. A. H. Hunter
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Ratios in Heronian triangles

The Mathematical Gazette, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Dolan
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