Elliptic Space

Abstract

Elliptic geometry is more general than ordinary geometry. It refers to a three-dimensional space of a more general type than ordinary space. The ordinary mathematics supposes a more or less plausible assumption or axiom which reduces elliptic space to a special type. The present little paper is intend§d to illustrate the unartificial character of the elliptic geometry and to indicate the analytical nature of the axiom which the Euclidian geometry requires us to introduce. We investigate the measurement of distance on which the theory of elliptic space chiefly depends.