Lecture
QUESTIONS FOR SELF-TESTS
1. What are the geometric elements include the projection apparatus?
2. What methods of projection do you know?
3. What projecting surfaces can create projecting rays?
4. List the basic properties of the projections.
5. What is the projection of an angle whose plane is parallel to the plane of projections with a central projection?
6. In which geometric images do projections of lines and planes of surfaces occupying a projection position degenerate?
7. How is the right angle projection theorem read?
8. How do you understand the term “reversible drawing? What is the reversibility of the drawing?
9. What is the essence of axonometric projections?
10. What characterizes the projections with numerical marks?
The projection apparatus includes projecting rays, projection planes and the object.
Projection methods: central, parallel, orthogonal.
Projecting surfaces: planes, cones, cylinders.
Basic properties of projections: preserve parallelism, scale, can distort angles and lengths.
The projection of an angle in a central projection is equal to the angle itself if the plane is parallel to the projection plane.
Projections of lines and planes degenerate into points and lines, respectively.
Right angle projection theorem: a right angle is projected into an angle that can be right or distorted depending on the slope.
Reversible drawing: a drawing that allows the original figure to be restored is achieved through precision and detail.
Axonometric projections: projections that preserve proportions and scales are used for volumetric representation of objects.
Projections with numerical marks: contain numerical values for coordinates or dimensions, facilitating understanding and analysis.
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Descriptive Geometry and Engineering Graphics
Terms: Descriptive Geometry and Engineering Graphics