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Файл:Начертательная геометрия. Курс лекций. Учебное пособие
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Problem 5. To define the points, which lie on a line.
Problem 6. To define parallel lines.
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Problem 7. Analyze the positions of the lines in space whose projections are given.
Problem 8. To find the perpendicular lines.
Problem 9. To find the traces of given planes.
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Problem 10. To find the projection of a line that lies in the given plane.
Problem 11. To define the points that lie in the plane.
Problem 12. To define, which of given lines are the principle lines of the given planes
and termed them.
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Problem 13. Through a given line to pass a plane parallel to a second line.
Problem 14. To pass through a given point a plane parallel to a given plane.
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Problem 15. To find the line of intersection between two planes, given by their traces.
Problem 16. Through a given point in space to pass a plane perpendicular to a given line.
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Problem 17. To define the respective position of two planes.
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Problem 18. To find the true-length of the line by: auxiliary view method, parallel-plane
method and rotation around axis i.
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Problem 19. To find a true-shape of triangular by adding the necessary elements and
constructions, and termed each method, which is used in the pictures.
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Problem 20. To find an edge view and true-shape of triangular by any method of drawing
transformation.
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GLOSSARY
Auxiliary view
A view on any projection plane other than a primary or principal
projection plane.
Bearing of a line
The compass reading or angle of a line.
Descriptive geometry
The theory of orthographic projection. It can be also defined as a
graphical method of solving solid (or space) analytic geometry
problem.
Development
A solid shape that is unfolded or unrolled onto a flat plane.
Edge view of a plane
A view in which the given plane appears as a straight line. The
edge view of a plane may be found by viewing a true-length line
that lies within the plane as a point.
Frontal (line)
A line that is parallel to the front (vertical) projection plane. Its
projection will be true-length in the front view.
Frontal plane
Vertical plane – one of coordinate plane.
Horizontal (line)
A line that is parallel to the horizontal projection plane. Its projection will be true-length in the top view.
Horizontal plane
Level plane – one of coordinate plane.
Intersecting lines
When lines are intersecting, the point of intersecting is a point that
lies on both lines.
Isometric
A pictorial view that shows three sides of an object – usually the
top, front, and right side.
Oblique line
A straight line that is not parallel to any of the six principal projection planes (coordinate planes).
Oblique plane
A plane that does not appear as an edge view in a principal view.
Origin (point)
A starting point that may be located anywhere on the object or near it.
Orthographic projection (drawing)
Right-angle projection. It is a method of drawing that uses parallel
lines of sight at right angles (90 °) to a projection plane.
Parallel lines
Lines that are an equal distance from each other throughout their
length.
Perpendicular lines
Lines with a 90 ° angle between them.
Piercing point
A point where a line intersects a plane.
Plane
A surface that in not curved or warped. It is a surface in which any
two points may be connected by a straight line, and a straight line
may be always completely within the surface.
Profile (line)
A line that is parallel to the profile projection plane. Its projection
will be true-length in the side view.
Profile plane
Vertical plane ninety degrees to frontal plane – one of coordinate
plane.
Projection line
A line parallel to the line of sight and perpendicular to the projection plane.
Projection plane
A flat surface that the object is projected onto, such as paper,
blackboard.
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