On some geometric applications connected with Pythagorean triples and uniform distribution (Q1306340)

The present paper is a continuation of a series of basic articles of the author on Pythagorean triples and uniform distribution. The author applies the theory of Pythagorean triples and uniformly distributed sequences to the geometric problem of Pascal's hexagon and to the theory of circular sections of surfaces of second order. In particular, a theorem of Hadwiger and Scherrer is used. Furthermore, an interesting physical application is studied: the free motion of Dirac's electron. More applications will be considered in a second part of this paper.