projective geometry

projective geometry
a branch of mathematics that investigates those properties of figures that are invariant when projected from a point to a line or plane

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  • Projective geometry — is a non metrical form of geometry, notable for its principle of duality. Projective geometry grew out of the principles of perspective art established during the Renaissance period, and was first systematically developed by Desargues in the 17th …   Wikipedia

  • projective geometry — n. the branch of geometry dealing with those properties of a figure (projective properties) that do not vary when the figure is projected …   English World dictionary

  • projective geometry — the geometric study of projective properties. [1880 85] * * * Branch of mathematics that deals with the relationships between geometric figures and the images (mappings) of them that result from projection. Examples of projections include motion… …   Universalium

  • projective geometry — noun the geometry of properties that remain invariant under projection • Syn: ↑descriptive geometry • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑geometry …   Useful english dictionary

  • projective geometry — noun the study of the projective properties of geometric figures …   English new terms dictionary

  • projective geometry — /prədʒɛktɪv dʒiˈɒmətri/ (say pruhjektiv jee omuhtree) noun the geometric study of projective properties …  

  • projective geometry — noun Date: 1885 a branch of geometry that deals with the properties of configurations that are unaltered by projection …   New Collegiate Dictionary

  • projective geometry — study of geometric properties that are not changed by projection …   English contemporary dictionary

  • Duality (projective geometry) — A striking feature of projective planes is the symmetry of the roles played by points and lines in the definitions and theorems, and (plane) duality is the formalization of this metamathematical concept. There are two approaches to the subject of …   Wikipedia

  • Oriented projective geometry — is an oriented version of real projective geometry. Whereas the real projective plane describes the set of all unoriented lines through the origin in R3, the oriented projective plane describes lines with a given orientation. There are… …   Wikipedia

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