Congruum

tipo de documento Article de Wikipedia Dbpedia

Equipo Didactalia

J’aime 0
Visites 0
Commentaires 0
Enregistrer dans
Actions
- Envoyer lien

À propos de cette ressource...

Congruum

Dbpedia

Artículo WikipediaFuente Dbpedia

In number theory, a congruum (plural congrua) is the difference between successive square numbers in an arithmetic progression of three squares.That is, if , , and (for integers , , and ) are three square numbers that are equally spaced apart from each other, then the spacing between them, , is called a congruum. The congruum problem is the problem of finding squares in arithmetic progression and their associated congrua. It can be formalized as a Diophantine equation: find integers , , and such that When this equation is satisfied, both sides of the equation equal the congruum. Fibonacci solved the congruum problem by finding a parameterized formula for generating all congrua, together with their associated arithmetic progressions. According to this formula, each congruum is four times the area of a Pythagorean triangle. Congrua are also closely connected with congruent numbers: every congruum is a congruent number, and every congruent number is a congruum multiplied by the square of a rational number.

Wikipedia Inglés http://en.wikipedia.org/wiki/Congruum