The Theoretical Foundations for Solving Typical Geometrical Problems in Engineering

Abstract

In the present work the analysis of the basic methods for solving typical geometrical engineering problems is made. The basic problem is revealed and the first-level tasks of its solution are defined. A general algorithm for solving typical geometrical problems in the form of standardized logical blocks is offered. The general algorithm for the solution of typical geometrical problems is discussed, taking into account the iterative nature of the proposed methods. The introduced formal general algorithm allows students to master their skills of independent work. Practical engineers can use the developed general approach for solving new difficult real-world problems. Synthesized general algorithm, as the main contribution to geometry, allows, on deductive basis—“from the general to quotient”, to teach and study engineering geometry.