Euclid's formula

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:condition m > n > 0
m and n are coprime
m and n are integers
m and n have opposite parity
gptkbp:describes generation of Pythagorean triples
gptkbp:firstDescribed gptkb:Elements_(Euclid's_book)
gptkbp:form a = m^2 - n^2
b = 2mn
c = m^2 + n^2
https://www.w3.org/2000/01/rdf-schema#label Euclid's formula
gptkbp:namedAfter gptkb:Euclid
gptkbp:produces integer solutions to a^2 + b^2 = c^2
gptkbp:usedIn number theory
gptkbp:usedToGenerate primitive Pythagorean triples
gptkbp:variant n
m
gptkbp:bfsParent gptkb:Pythagorean_triples
gptkbp:bfsLayer 6