User:Honza9513/Three classical problems of ancient mathematics

Three classical problems of ancient mathematics are a trio of problems invented by ancient Greek geometers. The solution to each of these problems is limited to the so-called ruler-and-compass construction, i.e. construction using only a ruler and a compass. It was only the development of analytical geometry in the nineteenth century that brought solutions to these problems (or proof of their intractableness through classical constructions). They are specifically:


 * Doubling the cube: Is it possible to draw a cube whose volume is twice the volume of the original cube?
 * Squaring the circle: Is it possible to draw a square with the same contents as a given circle?
 * Angle trisection: Is it possible to structurally split a given angle into three equal parts?

Portals: Math