NON-EUCLIDEAN APPROACH OF FLOW ON AN EUCLIDEAN PLANE AND ITS DESCRIPTION WITH COMPLEX VARIABLES

Abstract

The set of curves giving the general solution of the differential equation yn = y/k2B and describable with exponential equations also has properties characteristic of non-Euclidean geometries in the Euclidean plane. They also allow a non-conventional geomtrical de- termination of trigonometric functions promoting the extension of the representation of complex numbers and variables. Thus relations of seepage flows concerning hydraulics of wells and several conclusions drawn from them can be extended and the surveying of mutual interference of wells will be simpler. This paper also gives example for using non- Euclidean methods in geometrical considerations for technical purposes, in our case for describing plane flows.