Geometric Constructions Geometric constructions date back thousands of years to when Euclid, a Greek mathematician
known as the "Father of Geometry," wrote the book Elements. In Elements, Euclid formulated the
five postulates that form the base for Euclidean geometry. To create all the figures and diagrams,
Euclid used construction techniques extensively. A compass and straightedge are used to create
constructions. A compass is used to draw circles or arcs and a straightedge is used to draw
straight lines.