The ancient question of whether or not it’s possible to construct a circle with the same area as a given square using only a drawing compass and straightedge was finally answered in 1882, where it was ...

The four problems -- Proving the impossible -- Compass-and-straightedge constructions -- The first mathematical crisis -- Doubling the cube -- The early history of pi -- Quadratures -- Archimedes's ...

I had a parent ask me why we don’t teach Compass and Straight edge Geometry anymore. Thank goodness he gave me a link to the Wikipedia article to explain what it is. (Here it is if you are interested.