Abstract
<jats:p>Historically, along with the development by Gaspard Monge the language of descriptive geometry, there also was established a basis for describing spatial objects using planar (two-dimensional) projections This caused the framework for forming the technical drawing as the primary document for all mechanical engineering products The rapid advancement of computer technology in recent decades has led to the development and implementation of CAD/CAM systems at manufacturing enterprises, with analytical geometry at their core. This process was facilitated by the capability of new systems to design production objects directly in three-dimensional space, which proved highly attractive for aircraft manufacturing and other high-tech industries in the development and transfer to production of complex-shaped objects. A particularly pronounced effect was observed when object fabrication was performed on CNC equipment. However, the challenge lies in the fact that, beyond geometric form, information about technological and structural features of the product is required. Previously, such information was conveyed through specific rules of drawing execution and technical specifications indicated on the drawing itself. For this reason, the majority of enterprises, after developing a product in a CAD/CAM environment, organized the generation of corresponding drawings, as the systems’ capabilities readily supported this. Consequently, the description of production objects is performed using two languages, which in practice leads to numerous issues. The labor intensity of supporting the production object in two languages increases significantly. The presented article describes the main analytical models and their relationships with the production object, equipment, and fixtures, aimed at enabling the transition to the language of analytical geometry in the support of part manufacturing on CNC equipment.</jats:p>