Psychology and geometry: I. On the geometry of the human kind

In this note an attempt is made to describe a personal look at some of the main steps in the history of geometry from a psychological point of view, hereby basing on and sometimes merely formulating again parts of some previous papers, like [1-11]. For general references on elementary differential geometry, pseudo Riemannian geometry and geometry of submanifolds, see e.g. [12-22]. In reference [23], part II of some of the author’s reflections on psychology and geometry, an attempt is made to describe relativistic spacetimes in a way as kind of a supplement to the contents of the present part I.