Theoretical Foundations of Engineering Geometry for Design
The necessity of writing this new textbook stems from the following facts:
- The general level of mathematical knowledge of high-school graduates is insufficient for them to comprehend the basic concepts, and thus to study descriptive geometry independently.
- High-school graduates do not acquire the necessary background in graphics. The level of many first-year students in imaginative perception, spatial imagination, and skills for the solution of problems with the necessary level of abstraction is not generally sufficient for studying modern engineering graphics.
- Because the lecture hours assigned for Engineering Graphics are rather limited in many educational professional programs (EPP), the basic weight of training is shifted to independent work of the student (IWS).
- The credit-modular system of training compels the teacher to spend an overwhelming part of lecture time not on the formation of knowledge and skills but rather on obligatory ratings of the quality assurance of the material “not acquired” by students.
- In the existing textbooks on Engineering Graphics, from our point of view, achievements of modern computer science and the technologies facilitating studying of the subject under conditions named above are insufficiently utilized.
The reduced lecture hours available for Engineering Graphics education and the development of computer graphics technologies, which seemingly can substitute for such education, might lead one may to ask logically “Why do we need to teach descriptive geometry at all?” This question parallels other frequently-asked similar questions: “Why do we need to study arithmetic in schools if we have calculators?” and “Why do we need to spend so much time to learn calculus at Universities if we have modern software programs such as MATLAB and Mathematica?”
In the author’s opinion, descriptive geometry is needed, first of all, as it constitutes the basis for the development of the engineering geometry.
The existence of practical demand for studies in descriptive geometry as the basis of engineering geometry is explained as follows.
1. Descriptive Geometry
2. Types of Projection. The Center of Projection
3. Formation of the Complex Drawing. Octants. The Method of Gaspard Monge
4. Geometrical Models and an Analytical Model of a Point
5. Geometric and Analytical Models of a Straight Line
6. Geometric Models and Analytical Models of a Plane
7. Geometric and Analytical Models of a Surface
8. Positional Problems
9. Metric Problems
10. Development of Surfaces
11. Axonometric Projections
12. Conclusion and Summary
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