Solution of the Basic Problems of Discrete Geometry on the Plane

Abstract

1⁰. There are two geometric disciplines which have the sufficient large intersection. Now we mean the discrete geometry and the geometry of numbers. It is accepted to refer various problems about dispositions of points and figures in a space to the discrete geometry. The same problems are accepted in the geometry of numbers, when they are somehow connected with point lattices in the n-dimensional euclidean space ${\mathbb{E}^n}$, and also some other problems about lattices are accepted as well.