O NÚMERO 𝛑 E A QUADRATURA DO CÍRCULO

Abstract

- Long ago, around 4000 BC , there was already the number π , but not as we know it today. It is noteworthy that the first mathematician to use the number "pi" as the Greek letter π was the French mathematician Leonhard Euler ( 1707-1783 ) . As old as the π value is the celebrated Greek problem of squaring the circle , ie using ruler and compass to construct a square equal to the area of a given circle. To address this issue , we will use the idea of transcendental numbers and especially the fact that π is a transcendental number , meaning it can not be the root of an algebraic equation with integer coefficients , a fact proved by the German mathematician Ferdinand von Lindemann in 1882 thus show that it is impossible to solve such a problem.

Keywords

• Greek Problem
• Number π
• Numbers Transcendental
• Plane Geometry
• Areas