Abstract—This paper aims to reflect on the issues that concern the fundamentals of descriptive geometry, in particular the roles it plays in research, analysis, and design in the fields of architecture and engineering. Its foundations, like its history, are legitimate and up-to-date for the representation of drawings, thus rendering specific the contribution made by the rules of the elements of projective geometry. The fundamentals of projective geometry are, in fact, made explicit by the operations defined by the properties of projection and section for the components of the relationships they describe by modelling, even in three-dimensions, the figures that can geometrically satisfy such combinations. The research undertaken with projective geometry is current/timely, because it refers to the need to finalize the project drawing for architecture, engineering, and the environment, as well as for its defined and codified method of representation that establishes the feasibility of the project.