Knowra Descriptive geometry Descriptive geometry Descriptive geometry represents three-dimensional objects through precise geometric projections onto two-dimensional surfaces. Its methods make spatial forms and their geometric relationships solvable from drawings.
Orthographic projection : A projection that maps points onto a plane along parallel lines perpendicular to that plane. Its perpendicular projectors produce the principal views used in descriptive constructions.
Projection (geometry) : A mapping that assigns points in a space to points on a lower-dimensional space according to a specified rule. Descriptive geometry is built from projections that preserve selected spatial relationships.
Gaspard Monge : A French mathematician who systematized descriptive geometry in the late eighteenth century. Monge established the method as a coherent discipline and taught it at the École Polytechnique.
Engineering drawing : A technical drawing that communicates an engineered object's geometry, dimensions, and specifications. Projection-based views convey components and spatial relationships precisely.
Perspective (graphical) : A method of depicting three-dimensional space on a plane using converging projection lines. Unlike parallel descriptive projections, perspective represents apparent size and depth from a viewpoint.
Monge projection : A system that represents space using projections onto two perpendicular planes, usually unfolded into one drawing. Its paired views are the classical foundation of descriptive geometry.
Euclidean space : A geometric space with the familiar notions of distance, angle, and parallelism. Its points, lines, and planes are the spatial objects represented in classical constructions.
École Polytechnique : A French engineering school founded in 1794 in the aftermath of the French Revolution. Descriptive geometry became a central subject in the school's technical education.
Computer-aided design : The use of computer systems to create, modify, analyze, or optimize design models. CAD systems automate projection and geometric operations once performed by hand.
Axonometric projection : A parallel projection that shows multiple object axes in a single view, typically with measurable scale along them. It combines spatial appearance in one view rather than separating geometric information across principal views.
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