antiquity | Greek problems

The Greek problems of antiquity were a set of geometric problems whose solution was sought using only compass and straightedge: 1. circle squaring. 2. cube duplication. 3. angle trisection. Only in modern times, more than 2000 years after they were formulated, were all three ancient problems proved insoluble using only compass and straightedge.

Alhazen's billiard problem | angle trisection | circle squaring | compass | constructible number | constructible polygon | cube duplication | geometric construction | regular polyhedron | straightedge