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Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions by using a specific set of procedures. The resulting techniques are important for engineering, architecture, design and in art. [1] The theoretical basis for descriptive geometry is provided by planar geometric projections.
Stereotomy is strongly associated with stonecutting and has a very long history. Descriptive geometry can be considered as an evolution of streotomy. [3] In technical drawing stereotomy is sometimes referred to as descriptive geometry, and "is concerned with two-dimensional representations of three dimensional objects. Plane projections and ...
Rabattement was extensively used by stonemasons in the construction drawings, and, together with projection plane, evolved into a method of descriptive geometry. Descriptive geometry manuals sometimes use the term "rotation" when discussing moving points and lines, reserving rabattement for shapes and planes, but in practice both operations are ...
Clifford's original definition was of curved parallel lines, but the concept generalizes to Clifford parallel objects of more than one dimension. [2] In 4-dimensional Euclidean space Clifford parallel objects of 1, 2, 3 or 4 dimensions are related by isoclinic rotations.
Pages in category "Descriptive geometry" The following 9 pages are in this category, out of 9 total. This list may not reflect recent changes. ...
During the same period, the French mathematician Gaspard Monge developed descriptive geometry, a means of representing three-dimensional objects in two-dimensional space, and contributed to technical drawing in a major way. His work set the ground for orthographic projection which is one of the core techniques to be used in technical drawing today.
Descriptive geometry customarily relies on obtaining various views by imagining an object to be stationary and changing the direction of projection (viewing) in order to obtain the desired view. See Figure 1. Using the rotation technique above, note that no orthographic view is available looking perpendicularly at any of the inclined surfaces.
In descriptive geometry, true length is any distance between points that is not foreshortened by the view type. [1] In a three-dimensional Euclidean space, lines with true length are parallel to the projection plane.