projective geometry


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projective geometry

n.
The study of geometric properties that are invariant under projection.

projective geometry

n
(Mathematics) the branch of geometry concerned with the properties of solids that are invariant under projection and section
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.projective geometry - the geometry of properties that remain invariant under projection
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
geometry - the pure mathematics of points and lines and curves and surfaces
Translations
projektivna geometrija
geometria proiettiva
References in periodicals archive ?
The ellipse and other conic sections are then explored using some ideas from projective geometry.
Therefore, in projective geometry, the four points [A.sub.1], [A'.sub.1], O, [V.sub.1] and the four points [B.sub.1], [B'.sub.1], O, [V.sub.1] are harmonic conjugates, respectively.
Rubin, "Relativistic localizing processes bespeak an inevitable projective geometry of spacetime," Advances in High Energy Physics, vol.
For introduction of such characteristics we use a number of concepts of projective geometry [7, 8], applied in the electric circuit theory [9, 10].
The curves for this study were derived from planar ellipses, generated in AUTOCAD on the basis of projective geometry, through transformation by affinity with concentric circles (Figure 1(a)), a procedure frequently used in digital rendering and design.
These numbers are related to classical numbers on the sizes of k-arcs in Projective Geometry. New conjectures for matroids are given based on results in Projective Geometries.
(1) The episode from "Alice" of "Pig and Pepper" according to Bayley "parodies the principle of continuity, a bizarre concept from projective geometry which was introduced in the mid-19th century from France....
Even before Beltrami proved the independence of the Parallel Postulate, mathematicians were still able to work on Projective Geometry. In the early 17th Century, Kepler suggested the notion of 'points at infinity' where parallel lines would intersect; meanwhile Desargues and Pascal began to study Geometry using only intersections.
Introduction to projective geometry. (reprint, 1970)
Projective geometry and its applications to computer graphics, Prentice-Hall, ISBN 013-730649-0, USA
If considering the projective plane obtained by algebraic extension, one has here a collineation in the sense of the theory of projective geometry. The only difference is now that the linear order on every line of the betweenness plane remains invariable.