The lesson plans presented sequentially the set of concepts underlying geometric constructions. The notions of the relationship between central and inscribed angles in a circle round the basics of learning to understand the Metric Geometry. The metric geometry is applied in Euclidean space is based on the theorems of Thales and Pythagoras. These pages present a set of structured basics that allow a reasoned initiate us in beautiful study of this discipline, geometry, basis of understanding in mechanical engineering designs. The geometry (Latin geometry, which comes from the Greek language γεωμετρία, geo land metria measure), is a branch of mathematics that deals with the study of the properties of geometric figures in the plane or space, like: points, straight, planes, polytopes (including parallel, perpendicular, curves, surfaces, polygons,polyhedra, etc.).( W) The study of the different geometries (Metrics, descriptive, projective) starts at the bachelor but finds its most abstract to the university levels.