projective geometry

English - Turkish

Definition of projective geometry in English Turkish dictionary

(Matematik) izdüşümsel geometri

izdüşüm geometrisi

projektif geometri

English - English

Definition of projective geometry in English English dictionary

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

The study of geometric properties that are invariant under projection. 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 pictures, maps of the Earth's surface, and shadows cast by objects. One stimulus for the subject's development was the need to understand perspective in drawing and painting. Every point of the projected object and the corresponding point of its image must lie on the projection ray, a line that passes through the centre of projection. Modern projective geometry emphasizes the mathematical properties (such as straightness of lines and points of intersection) preserved in projections despite the distortion of lengths, angles, and shapes

study of geometric properties that are not changed by projection

the geometry of properties that remain invariant under projection

Hyphenation

pro·jec·tive ge·o·me·try

Turkish pronunciation

prıcektîv ciämıtri

Pronunciation

/prəˈʤektəv ʤēˈämətrē/ /prəˈʤɛktɪv ʤiːˈɑːmətriː/