ABSTRACT
For many years, geometric constructions were part of every secondary school mathematics curriculum. Students are required to know how to use a straightedge (a ruler without markings) and a compass to construct certain geometric figures. Any number that can be formed from the number 1 by using the operations of addition, subtraction, multiplication, division, or extracting square roots of nonnegative numbers is called a constructible number. Any number constructed with a compass and a straightedge will be called geometrically constructible. Any positive geometrically constructible number has a corresponding negative geometrically constructible number. For what follows the author imagine that everything is taking place on a coordinate plane. This plane will be known as the constructible plane and all points in this plane will be referred to as constructible points. A polynomial of minimal degree which c satisfies is called a minimal polynomial for c. Three Problems of Antiquity is reviewed.
