The course presents a rigorous treatment of the foundations of Euclidean and non-Euclidean geometries. The discovery of non-Euclidean geometry in the first half of the 19th century shattered the ...

Abstract This survey highlights some foundational history and some interesting recent discoveries in elementary geometry that deserve to be better known, such as the hierarchies of axiom systems, ...

Euclidean geometry is the branch of mathematics describing shapes and the spatial relationships between objects in ...

This is a preview. Log in through your library . Publisher Information The National Council of Teachers of Mathematics is a public voice of mathematics education, providing vision, leadership, and ...