Add to ORKGPythagorean triples are the positive integer solutions to the Pythagoras equation for right triangles, a2+b2 = c2. They have been studied for many years, many centuries in fact. In this short paper we present a method for computing Pythagorean triples in general, the first two cases of which go back at least to the early Pythagoreans (570-495 BCE), and to Plato (429-347 BCE). But the method has not been investigated as extensively as presented here. Several other approaches are also considered.Comment: 17 pages, 16 figure
It has been known for some 2000 years how to generate Pythagorean Triples. While the classical formu...
A Pythagorean triple is a triple of positive integers (a, b, c) where a2 + b2 = c2. Examples include...
We show arithmetic triplets of Gaussian squares are in 3-to-1 correspondence with Pythagorean triple...
Pythagorean triples are the positive integer solutions to the Pythagoras equation for right triangle...
Dr. Ron Knott constructed a graph of all Primitive Pythagorean Triples (PPTs) with legs up to length...
Euclid’s Method of finding Pythagorean triples is a commonly accepted and applied technique. This st...
Who was Pythagoras after which the Pythagorean Theorem is named? Pythagoras was born between 580-572...
The object of this report is to examine algorithms for generating pythagorean triads: triplets [a,b,...
The relation a^2+b^2=c^2 is so familiar to us that we often quote it without saying what a, b, c re...
The authors explore the connections between prime factorizations and primitive Pythagorean triples, ...
The authors explore the connections between prime factorizations and primitive Pythagorean triples, ...
The authors explore the connections between prime factorizations and primitive Pythagorean triples, ...
The object of this report is to examine algorithms for generating pythagorean triads: triplets [a,b,...
The object of this report is to examine algorithms for generating pythagorean triads: triplets [a,b,...
Who was Pythagoras after which the Pythagorean Theorem is named? Pythagoras was born between 580-572...
It has been known for some 2000 years how to generate Pythagorean Triples. While the classical formu...
A Pythagorean triple is a triple of positive integers (a, b, c) where a2 + b2 = c2. Examples include...
We show arithmetic triplets of Gaussian squares are in 3-to-1 correspondence with Pythagorean triple...
Pythagorean triples are the positive integer solutions to the Pythagoras equation for right triangle...
Dr. Ron Knott constructed a graph of all Primitive Pythagorean Triples (PPTs) with legs up to length...
Euclid’s Method of finding Pythagorean triples is a commonly accepted and applied technique. This st...
Who was Pythagoras after which the Pythagorean Theorem is named? Pythagoras was born between 580-572...
The object of this report is to examine algorithms for generating pythagorean triads: triplets [a,b,...
The relation a^2+b^2=c^2 is so familiar to us that we often quote it without saying what a, b, c re...
The authors explore the connections between prime factorizations and primitive Pythagorean triples, ...
The authors explore the connections between prime factorizations and primitive Pythagorean triples, ...
The authors explore the connections between prime factorizations and primitive Pythagorean triples, ...
The object of this report is to examine algorithms for generating pythagorean triads: triplets [a,b,...
The object of this report is to examine algorithms for generating pythagorean triads: triplets [a,b,...
Who was Pythagoras after which the Pythagorean Theorem is named? Pythagoras was born between 580-572...
It has been known for some 2000 years how to generate Pythagorean Triples. While the classical formu...
A Pythagorean triple is a triple of positive integers (a, b, c) where a2 + b2 = c2. Examples include...
We show arithmetic triplets of Gaussian squares are in 3-to-1 correspondence with Pythagorean triple...