Christopher Powell

 

“The Three Problems.”

 

Abstract

 

The ancient Greeks are famous for, among countless other innovations, their advances in the field of geometry. Early geometers were limited by unsophisticated tools, and faced several problems that they found impossible to solve.  Specifically, there are three problems that have become especially well known: The Trisection Problem, Squaring the Circle, and Duplication of the Cube.  We will explore the specifics of these questions, their solutions, and the effects the questions have had on mathematics.