Minimal foundations of geometry (Q1920834)

The author presents an axiomatics for Euclidean geometry by using a set of points and a relation of congruence as basic notions. `Line' is a derived term, just as the relation of betweenness for straight lines. It should be pointed out that a great number of axiomatic approaches to Euclidean geometry is knwon. The aim of the underlying paper is to present a system of axioms which is simple, concise, and contiguous to practice to the utmost and which is minimal in a certain sense. The last chapter includes an axiomatics for affine geometry with only one basic relation of ``betweenness''.