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Descriptive geometry
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=== The best direction to view === * Two [[skew lines]] (pipes, perhaps) in general positions in order to determine the location of their shortest connector (common perpendicular) * Two skew lines (pipes) in general positions such that their shortest connector is seen in full scale * Two skew lines in general positions such the shortest connector parallel to a given plane is seen in full scale (say, to determine the position and the dimension of the shortest connector at a constant distance from a radiating surface) * A plane surface such that a hole drilled perpendicular is seen in full scale, as if looking through the hole (say, to test for clearances with other drilled holes) * A plane equidistant from two skew lines in general positions (say, to confirm safe radiation distance?) * The shortest distance from a point to a plane (say, to locate the most economical position for bracing) * The line of intersection between two surfaces, including curved surfaces (say, for the most economical sizing of sections?) * The true size of the angle between two planes A standard for presenting computer-modeling views analogous to orthographic, sequential projections has not yet been adopted. One candidate for such is presented in the illustrations below. The images in the illustrations were created using three-dimensional, engineering computer graphics. Three-dimensional computer modeling produces virtual space ''behind the screen'' and may produce any view of a model from any direction within this virtual space. It does so without the need for adjacent orthographic views and therefore may seem to render the circuitous, stepping protocol of descriptive geometry obsolete. However, since descriptive geometry is the science of the legitimate or allowable imaging of three or ''more'' dimensional space, on a flat plane, it is an indispensable study, to enhance computer modeling possibilities.
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