This work aims to study the P -adic geometry, in particular, results concerning triangles, angles and polygons. It is based on a comparison of Euclidean geometry, not in its general form, only to judge that interesting theorems for the special form of definition of P -adic norm, and the effect it has on the elements of this geometry. Which gives very striking results for the apprehension of our senses, accustomed tothe traditional geometry. The development of this article is based on the discovery of Kurt Hensel in 1897, on the theory of P -adic numbers.ea