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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 ...
Pages in category "Descriptive geometry" The following 9 pages are in this category, out of 9 total. This list may not reflect recent changes. ...
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.
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.
In algebraic geometry, the concept of a curve can be extended to discrete geometries by taking the spectra of polynomial rings over finite fields to be models of the affine spaces over that field, and letting subvarieties or spectra of other rings provide the curves that lie in that space. Although the space in which the curves appear has a ...
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In Euclidean geometry two rays with a common endpoint form an angle. [14] The definition of a ray depends upon the notion of betweenness for points on a line. It follows that rays exist only for geometries for which this notion exists, typically Euclidean geometry or affine geometry over an ordered field.