Descriptive Geometry
Descriptive geometry is the science of graphic representation and solution of space problems. The fundamentals of descriptive geometry are based on the principles of orthographic projection. In descriptive geometry, more complex drawing methods are used to solve problems than those usually encountered in basic engineering graphics.
Decriptive geometry methods are solutions that are not obtainable in the usual six primary views of orthographic drawing.
It should also be noted that descriptive geometry can be an additional tool in understanding three dimensional drawing concepts using CAD. Even though various CAD software are very powerful in making it possible to do complex 3D drawings, descriptive geometry insures the individual additional freedom to be successful in solving design problems.
In this section of the program there are fourteen areas of descriptive geometry we cover in class. Below are examples of a few of those sections.
Below are multiple auxiliary views students were required to solve from the given top and front views.
Students had to establish the line of sight, introduce the necessary folding lines and transfer distance(s) to each new view.
Below is a completed problem of intersections of planes and solids.
Lines in one surface were selected and their piercing points with the other surface were found.
Additional cutting surfaces were introduced, cutting pairs of lines from the given surfaces. The point of intersection of the lines of one pair was a point common to the given surfaces and was therefore on their line of intersection.
Once the intersections were solved, visibility of the plane and pyramid had to be completed
Below the students were required to solve for the angle between the line and plane.
NOTE: The angle formed by two intersecting planes is called a dihedral angle. The true size
of the dihedral angle is observed when each of the given planes appear in an edge view.
When a view shows a point view of a line common to two planes, the line of intersection
produces an edge view of each of the planes.
The method used below is called the PLANE METHOD.
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