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Projective geometry is all geometry.
Arthur Cayley

Meaning of "projective geometry" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF PROJECTIVE GEOMETRY

projective geometry play
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GRAMMATICAL CATEGORY OF PROJECTIVE GEOMETRY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Projective geometry is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES PROJECTIVE GEOMETRY MEAN IN ENGLISH?

projective geometry

Projective geometry

In mathematics, projective geometry is the study of geometric properties that are invariant under projective transformations. This means that, compared to elementary geometry, projective geometry has a different setting, projective space, and a selective set of basic geometric concepts. The basic intuitions are that projective space has more points than Euclidean space, in a given dimension, and that geometric transformations are permitted that move the extra points to traditional points, and vice versa. Properties meaningful in projective geometry are respected by this new idea of transformation, which is more radical in its effects than expressible by a transformation matrix and translations. The first issue for geometers is what kind of geometric language is adequate to the novel situation. It is not possible to talk about angles in projective geometry as it is in Euclidean geometry, because angle is an example of a concept not invariant under projective transformations, as is seen clearly in perspective drawing. One source for projective geometry was indeed the theory of perspective.

Definition of projective geometry in the English dictionary

The definition of projective geometry in the dictionary is the branch of geometry concerned with the properties of solids that are invariant under projection and section.

WORDS THAT BEGIN LIKE PROJECTIVE GEOMETRY

project leader
project management
project manager
projectable
projected
projectile
projecting
projection
projection booth
projection room
projection television
projectional
projectionist
projective
projective test
projectively
projectivity
projectment
projector
projecture

WORDS THAT END LIKE PROJECTIVE GEOMETRY

altimetry
anthropometry
astrometry
asymmetry
audiometry
biometry
calorimetry
cytometry
geometry
morphometry
optometry
poetry
psychometry
spectrometry
spectrophotometry
stoichiometry
supersymmetry
symmetry
telemetry
trigonometry
velocimetry

Synonyms and antonyms of projective geometry in the English dictionary of synonyms

SYNONYMS

Translation of «projective geometry» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF PROJECTIVE GEOMETRY

Find out the translation of projective geometry to 25 languages with our English multilingual translator.
The translations of projective geometry from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «projective geometry» in English.

Translator English - Chinese

射影几何
1,325 millions of speakers

Translator English - Spanish

geometría proyectiva
570 millions of speakers

English

projective geometry
510 millions of speakers

Translator English - Hindi

प्रक्षेपी ज्यामिति
380 millions of speakers
ar

Translator English - Arabic

الهندسة الإسقاطية
280 millions of speakers

Translator English - Russian

проективная геометрия
278 millions of speakers

Translator English - Portuguese

geometria projetiva
270 millions of speakers

Translator English - Bengali

প্রজেক্টিভ জ্যামিতি
260 millions of speakers

Translator English - French

la géométrie projective
220 millions of speakers

Translator English - Malay

Geometri proaktif
190 millions of speakers

Translator English - German

projektiven Geometrie
180 millions of speakers

Translator English - Japanese

射影幾何
130 millions of speakers

Translator English - Korean

사영 기하학
85 millions of speakers

Translator English - Javanese

Geometri proyektif
85 millions of speakers
vi

Translator English - Vietnamese

hình học projective
80 millions of speakers

Translator English - Tamil

திட்டவட்டமான வடிவியல்
75 millions of speakers

Translator English - Marathi

प्रक्षेपी भूमिती
75 millions of speakers

Translator English - Turkish

Projektif geometri
70 millions of speakers

Translator English - Italian

geometria proiettiva
65 millions of speakers

Translator English - Polish

geometrii rzutowej
50 millions of speakers

Translator English - Ukrainian

проективна геометрія
40 millions of speakers

Translator English - Romanian

geometrie proiectivă
30 millions of speakers
el

Translator English - Greek

προβολική γεωμετρία
15 millions of speakers
af

Translator English - Afrikaans

projektiewe meetkunde
14 millions of speakers
sv

Translator English - Swedish

projektiv geometri
10 millions of speakers
no

Translator English - Norwegian

projektiv geometri
5 millions of speakers

Trends of use of projective geometry

TRENDS

TENDENCIES OF USE OF THE TERM «PROJECTIVE GEOMETRY»

The term «projective geometry» is normally little used and occupies the 113.042 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
47
/100
The map shown above gives the frequency of use of the term «projective geometry» in the different countries.
Principal search tendencies and common uses of projective geometry
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «projective geometry».

FREQUENCY OF USE OF THE TERM «PROJECTIVE GEOMETRY» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «projective geometry» during the past 500 years. Its implementation is based on analysing how often the term «projective geometry» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about projective geometry

EXAMPLES

QUOTES WITH «PROJECTIVE GEOMETRY»

Famous quotes and sentences with the word projective geometry.
1
Arthur Cayley
Projective geometry is all geometry.

10 ENGLISH BOOKS RELATING TO «PROJECTIVE GEOMETRY»

Discover the use of projective geometry in the following bibliographical selection. Books relating to projective geometry and brief extracts from same to provide context of its use in English literature.
1
Perspectives on Projective Geometry: A Guided Tour Through ...
This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms.
Jürgen Richter-Gebert, 2011
2
Affine and Projective Geometry
An important new perspective on AFFINE AND PROJECTIVE GEOMETRY This innovative book treats math majors and math education students to a fresh look at affine and projective geometry from algebraic, synthetic, and lattice theoretic points of ...
M. K. Bennett, 2011
3
Linear Algebra and Projective Geometry
Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical.
Reinhold Baer, 2012
4
Oriented Projective Geometry: A Framework for Geometric ...
Stolfi's book describes oriented projective geometry, a geometric model that combines the elegance and efficiency of classical projective geometry with the consistent handling of oriented lines and planes, signed angles, line segments, ...
Jorge Stolfi, 1991
5
Projective Geometry and Projective Metrics
The basic results and methods of projective and non-Euclidean geometry are indispensable for the geometer, and this book--different in content, methods, and point of view from traditional texts--attempts to emphasize that fact.
Herbert Busemann, Paul J. Kelly, 2012
6
Projective Geometry: Creative Polarities in Space and Time
Whicher explores the concepts of polarity and movement in modern projective geometry as a discipline of thought that transcends the limited and rigid space and forms of Euclid, and the corresponding material forces conceived in classical ...
Olive Whicher, 2013
7
Lectures in Projective Geometry
This volume serves as an extension of high school-level studies of geometry and algebra, and proceeds to more advanced topics with an axiomatic approach.
A. Seidenberg, 2012
8
Projective Geometry: An Introduction
Including numerous worked examples and exercises throughout, the book covers axiomatic geometry, field planes and PG(r, F), coordinating a projective plane, non-Desarguesian planes, conics and quadrics in PG(3, F). Assuming familiarity with ...
Rey Casse, 2006
9
Projective Geometry And Formal Geometry
Some of the formal methods are illustrated and applied to homogeneous spaces. The book contains a lot of results obtained over the last thirty years, many of which never appeared in a monograph or textbook.
Lucian Bădescu, 2004
10
Symmetry and Pattern in Projective Geometry
This book will be appreciated by mathematics undergraduate students and those wishing to learn more about the subject of geometry.
Eric Lord, 2012

10 NEWS ITEMS WHICH INCLUDE THE TERM «PROJECTIVE GEOMETRY»

Find out what the national and international press are talking about and how the term projective geometry is used in the context of the following news items.
1
1948 IPS officer Narasimhan dies at 92
A mathematician, he enjoyed tackling complex problems, especially those relating to projective geometry and number theory. His other ... «Times of India, Jul 15»
2
10 THINGS YOU NEED TO KNOW: Today's guide to the obscure …
He and others spent years acquiring vintage photographs, blueprints and train timetables — then used trigonometry and projective geometry to ... «The Bakersfield Californian, Jul 15»
3
'Mathematics is all about exploration'
He is chiefly interested in Euclidean Geometry, Non-Euclidean Geometry, Projective Geometry, Number Theory, Combinatorics, Combinatorial ... «GreaterKashmir.com, May 15»
4
Union hosts annual math conference
... first conceptualized when he came to Professor of Mathematics Christina Tonnessen-Friedman with the idea of studying projective geometry. «Concordiensis, Apr 15»
5
Censorship by Design: Criminalization of Child Evangelism (Part 3)
Christians contributed to early work on light, as well as theoretical work on dynamics, projective geometry, and the foundation for probability ... «Patriot Post, Mar 15»
6
Public Release: 13-Jan-2015 New book on participatory approach …
Apart from the comprehensive content, there is also an extensive appendix describing thirteen constructions from projective geometry without ... «EurekAlert, Jan 15»
7
On Pascal's God of Abraham, Isaac and Jacob
... an important dissertation on the theme of projective geometry, and later through his dialogues with Pierre de Fermat on probability theory, ... «RenewAmerica, Dec 14»
8
Three Claim Awards at Siemens Math and Science Finals
... Day School in Washington, D.C., characterized unique factorization in the Hurwitz integers by using methods taken from projective geometry. «India West, Dec 14»
9
Students Earn Top Prizes at Nation's Premier STEM Competition
... integers by using methods taken from projective geometry. Their results have possible applications in cryptography and quantum field theory. «Business Wire, Nov 14»
10
How Not to Be Wrong: The Hidden Maths of Everyday Life, by …
We're shown how an idea from projective geometry – a highly abstract branch of mathematics with no obvious connection to the choosing of ... «Times Higher Education, Jun 14»

REFERENCE
« EDUCALINGO. Projective geometry [online]. Available <https://educalingo.com/en/dic-en/projective-geometry>. Apr 2024 ».
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