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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.

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