Quadratrix of Hippias

The Quadratrix of Hippias is a curve that was introduced by the ancient Greek philosopher Hippias of Elis around the 5th century BCE. This curve is notable for its historical significance in attempts to solve the problem of squaring the circle, which involves finding a square that has the same area as a given circle using only a finite number of steps with a compass and straightedge. The Quadratrix is constructed using a combination of geometric methods, particularly involving angles and arcs.