Systems of harmonic segments and vectors

Abstract

We outline the possibility of a path for the derivation of an indefinite number of new geometric systems. The main feature of the problems of New Geometry is the indefinite multiplicity in the application of theorems, in contrast to the individuality of conditions in the formulation of problems with which ancient and analytical geometry deals. Problems of a metric nature, for this reason, are not at all within the scope of this discipline; but it would be inaccurate to say that it includes only problems solved by positional constructions (for which reason New Geometry is more often called positional or projective geometry).