Art and Science Euclidean Geometry-The Five Axioms via Art

Abstract

The major objective of this article is to demonstrate by artworks Euclid’s five axioms, which are the basis of his planar geometry. Euclid, a Greek mathematician and philosopher, lived between 325 BC and 265 BC where his image is demonstrated in (Figure 1). It was transplanted on an artwork of the Dutch painter Piet Mondrian (1872-1944) consisting of a grid of vertical and horizontal black lines which are the basis of Euclidean geometry.