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 algorith...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.展开更多
In the present work,the relevant components of the two basic system of measurement are defined through the analysis of existing systems of measurement for geometrical modeling.The major features of such systems relate...In the present work,the relevant components of the two basic system of measurement are defined through the analysis of existing systems of measurement for geometrical modeling.The major features of such systems related to the ways of formation of the two-dimensional complex drawing of a geometrical image on the basis of laws of projective connections are revealed.Interrelations of the elements of different systems of measurement with various projections of a geometrical image are defined.The relative location of projections of a geometrical image into the constructed two-dimensional complex drawings for various systems of measurement is discussed.The rationale behind a particular arrangement of views in the projective drawing of a product in the analyzed systems of measurement is explained.展开更多
文摘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.
文摘In the present work,the relevant components of the two basic system of measurement are defined through the analysis of existing systems of measurement for geometrical modeling.The major features of such systems related to the ways of formation of the two-dimensional complex drawing of a geometrical image on the basis of laws of projective connections are revealed.Interrelations of the elements of different systems of measurement with various projections of a geometrical image are defined.The relative location of projections of a geometrical image into the constructed two-dimensional complex drawings for various systems of measurement is discussed.The rationale behind a particular arrangement of views in the projective drawing of a product in the analyzed systems of measurement is explained.
