Duplication of the Cube

This lecture explores the historical problem of duplicating the cube, a complex mathematical challenge faced by ancient Greek mathematicians like Hippocrates of Chios. It delves into the construction methods attributed to figures such as Nicomedes and Plato, examining the use of different instruments to solve the problem. The lecture also discusses the concept of double mean proportionality and its significance in geometric constructions, as well as the misattributions of mathematical methods to historical figures like Plato. Various historical texts and geometric diagrams are analyzed to understand the evolution of mathematical problem-solving techniques.