projective geometry

collocation in English

meanings of geometry

These words are often used together. Click on the links below to explore the meanings. Or, see other collocations with geometry.
geometry
noun[U]
uk /dʒiˈɒm.ə.tri/ us /dʒiˈɑː.mə.tri/
the area of mathematics relating to the study of space and the relationships between points, lines, curves, ...
See more at geometry

Examples of projective geometry

These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
The next stage is to extend the algebra so that projectivegeometry can be handled.
The case of parallel lines can be considered a limit case where the intersection is at a "point at infinity" (projectivegeometry).
The approach used is to work with projectivegeometry and choose the square of an additional basis element to be large (infinite).
Consequently, stereoscopy expresses a simplified spatial understanding of binocular vision, which might lead to a projectivegeometry or a drawing technique.
First, he recognised that hyperbolic and elliptic geometry also emerge as special cases of projectivegeometry.
The distortion of metacontext is very striking, especially when one recalls from subsection 4.3 that projectivegeometry was largely not concerned with applications.
First, projectivegeometry could be constructed with hardly any reference to metrical determinations.
Lastly, "projectivegeometry" emerged (not under that name although the word "projective" was used); descriptive geometry was a major stimulus.
Techniques used in the book for solving this are taken from projectivegeometry and photogrammetry.
This framework extends the functionality of projectivegeometry to include circles and spheres.
The method, for instance, by which mathematicians introduce points at infinity in projectivegeometry and ideals in algebra.
With the invention of ideal algebraic numbers in algebraic number theory, points at infinity, and imaginary points and curves in projectivegeometry, this idea took on central importance.
In this regard, this framework appears promising for dealing with kinematics, dynamics, and projectivegeometry problems without the need to abandon the mathematical system (unlike the current approaches).
Nonetheless, they are perceived both as visual and as occurring at the "impossible" location predicted by projectivegeometry, a position symmetrically opposite the tactile stimulation but determined by visual neuroanatomy.
These three texts provide clear evidence of the emergence, during the second half of the tenth century, of a new field of study, that of projectivegeometry.
The introductory chapter presents a quick but clear tour of projectivegeometry and the basic problems associated with reconstructions from more than one point of view.
Similarly, a parabola is a concept in affine geometry but not in projectivegeometry, where a parabola is simply a kind of conic.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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