QUESTIONS FOR SELF-TESTS

1. Give the definition of the line.

2. What is the difference between a flat line and a spatial one?

3. Give examples of flat and spatial lines.

4. How is the formation of a straight line from the curve?

5. What determines the projection of a straight line?

6. What is the position of a straight line relative to the planes of projections?

7. What lines belong to level lines? What level lines do you know?

8. What lines belong to the projecting? Name the types of projecting lines.

9. How to determine the true value of the segment according to its complex drawing?

10. How can two straight lines be located in space?

11. How is a circle depicted in a complex drawing if it lies in a frontally projecting plane; in the frontal plane level; in the general plane?

12. How can one construct an ellipse — a rectangular projection of a circle located in the frontally projecting plane?

13. What parameters define a cylindrical helix?

A line is a geometric locus of points that has length but no width or height.

A flat line lies in one plane, a spatial line lies in several.

Examples: flat - circle, ellipse; spatial - helical line, sinusoid in space.

A straight line is the shortest distance between two points, a curved line is a line that changes its direction along its entire length.

The projection of a straight line is determined by its position relative to the projection planes.

The position of a straight line: parallel to one of the projection planes, perpendicular to one and inclined to the others.

Level lines: horizontal and vertical lines on topographic maps.

Projection lines: vertical, horizontal, inclined lines.

The true value of a segment is determined by projecting it onto a plane perpendicular to the segment.

The location of two lines: intersecting, parallel, crossing.

Representation of a circle:

in the frontal projection plane — a horizontal line,

in the frontal plane of the level — a circle,

in the plane of general position — an ellipse.

Construction of an ellipse: use two perpendicular axes and circles tangent to these axes.

Parameters of a cylindrical helical line: pitch of the screw, diameter, angle of elevation of the helical line.