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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.
The orthographic projection is derived from the principles of descriptive geometry and is a two-dimensional representation of a three-dimensional object. It is a parallel projection (the lines of projection are parallel both in reality and in the projection plane).
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 ...
3 Descriptive geometry. 4 Engineering drawing. 5 Systems analysis. 6 Cartography. 7 Biological sciences. 8 Physical sciences. ... Map projection; Orthographic ...
Projection planes are used often in descriptive geometry and graphical representation. A picture plane in perspective drawing is a type of projection plane. With perspective drawing, the lines of sight, or projection lines, between an object and a picture plane return to a vanishing point and are not parallel.
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 mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations.This means that, compared to elementary Euclidean geometry, projective geometry has a different setting (projective space) and a selective set of basic geometric concepts.
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 .