Teorema de bezout pdf file

Bezouts theorem is a statement in algebraic geometry concerning the number of common points, or intersection points, of two plane algebraic curves which do not share a common component. Dados dois inteiros positivos, considere as divisoes sucessivas, onde as letras sao. This page was last edited on 26 november 2016, at 08. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The tangentchord process one form of addition theorem on a cubic curve had been known as far back as the seventeenth century. In elementary number theory, bezouts identity also called bezouts lemma is the following theorem. Bezouts theorem is a statement in algebraic geometry concerning the number of common points, or intersection points, of two plane algebraic curves which do not share a common component that is, which do not have infinitely many common points. Since this holds for every d, we conclude that dims. Files are available under licenses specified on their description page. Teoria dos numeros e criptografia com aplicacoes basicas. Ne daremo quindi alcune propriet a elementari e discuteremo in dettaglio alcuni esempi notevoli. This work is a guiding approach consists of examples of practical applications and. Bezouts identity let a and b be integers with greatest common divisor d.

But perhaps it is the most brilliant work yet by that strange director, pier paolo pasolini, who is a marxist and a freudian and yet made the best film ever made about the life of christ the gospel according to st. All structured data from the file and property namespaces is available under the creative commons cc0 license. Siano a e b interi positivi assegnati, e sia d il loro mcd. The theorem states that the number of common points of two such curves is at most equal to the product of their degrees, and equality holds if one counts points at infinity and points with complex coordinates, and if each point is counted with its intersection multiplicity.