Métodos geométricos de resolução das equações quadráticas

Abstract

This work sought to understand the evolution of algebraic thinking from problems from the Rhind papyrus to the geometric solutions of Al-Khwarizmi. During bibliographical research, mainly in the organization of the system of counting and computing results in Egyptian arithmetic, the importance of a symbolic-pictorial representation in understanding the tasks to be performed became clear. What happened in solving equations using the false position method at the time should be seen as an incentive for other forms of problem solving. In this sense, Diophantus' efforts to develop symbology for representing problems in equations are essential. In this investigation we sought to evaluate the use of some of Euclid's propositions in mediating the understanding of geometric demonstrations of Al-Khwarizmi's results for the solution of quadratic equations.