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Meaning of "non-Euclidean geometry" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF NON-EUCLIDEAN GEOMETRY

non-Euclidean geometry play
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GRAMMATICAL CATEGORY OF NON-EUCLIDEAN GEOMETRY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Non-Euclidean 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 NON-EUCLIDEAN GEOMETRY MEAN IN ENGLISH?

non-Euclidean geometry

Non-Euclidean geometry

In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises when either the metric requirement is relaxed, or the parallel postulate is set aside. In the latter case one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries. When the metric requirement is relaxed, then there are affine planes associated with the planar algebras which give rise to kinematic geometries that have also been called non-Euclidean geometry. The essential difference between the metric geometries is the nature of parallel lines. Euclid's fifth postulate, the parallel postulate, is equivalent to Playfair's postulate, which states that, within a two-dimensional plane, for any given line and a point A, which is not on , there is exactly one line through A that does not intersect .

Definition of non-Euclidean geometry in the English dictionary

The definition of non-Euclidean geometry in the dictionary is the branch of modern geometry in which certain axioms of Euclidean geometry are restated. It introduces fundamental changes into the concept of space.

WORDS THAT BEGIN LIKE NON-EUCLIDEAN GEOMETRY

non-affiliated
non-B hepatitis
non-Catholic
non-Christian
non-com
non-cooperative
non-dairy
non-disabled
non-dom
non-EU
non-greasy
non-hero
non-Hodgkin´s lymphoma
non-impact printer
non-Jew
non-Jewish
non-league
non-malignant
non-manual worker
non-Muslim

WORDS THAT END LIKE NON-EUCLIDEAN 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 non-Euclidean geometry in the English dictionary of synonyms

SYNONYMS

Translation of «non-Euclidean geometry» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF NON-EUCLIDEAN GEOMETRY

Find out the translation of non-Euclidean geometry to 25 languages with our English multilingual translator.
The translations of non-Euclidean 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 «non-Euclidean geometry» in English.

Translator English - Chinese

非欧几何
1,325 millions of speakers

Translator English - Spanish

geometría no euclidiana
570 millions of speakers

English

non-Euclidean geometry
510 millions of speakers

Translator English - Hindi

गैर इयूक्लिडियन ज्यामिति
380 millions of speakers
ar

Translator English - Arabic

غير الهندسة الإقليدية
280 millions of speakers

Translator English - Russian

неевклидовой геометрии
278 millions of speakers

Translator English - Portuguese

geometria não-euclidiana
270 millions of speakers

Translator English - Bengali

অ ইইউ
260 millions of speakers

Translator English - French

géométrie non-euclidienne
220 millions of speakers

Translator English - Malay

Bukan EU
190 millions of speakers

Translator English - German

nicht-euklidische Geometrie
180 millions of speakers

Translator English - Japanese

非ユークリッド幾何学
130 millions of speakers

Translator English - Korean

비 유클리드 기하학
85 millions of speakers

Translator English - Javanese

Non-EU
85 millions of speakers
vi

Translator English - Vietnamese

hình học phi Euclid
80 millions of speakers

Translator English - Tamil

அல்லாத ஐரோப்பிய ஒன்றிய
75 millions of speakers

Translator English - Marathi

गैर-युरोपियन युनियन
75 millions of speakers

Translator English - Turkish

AB dışı
70 millions of speakers

Translator English - Italian

geometria non euclidea
65 millions of speakers

Translator English - Polish

Geometria euklidesowa nie -
50 millions of speakers

Translator English - Ukrainian

неевклідової геометрії
40 millions of speakers

Translator English - Romanian

euclidian non- geometrie
30 millions of speakers
el

Translator English - Greek

μη - Ευκλείδεια γεωμετρία
15 millions of speakers
af

Translator English - Afrikaans

nie- Euklidiese meetkunde
14 millions of speakers
sv

Translator English - Swedish

icke- euklidiska geometrin
10 millions of speakers
no

Translator English - Norwegian

ikke- euklidsk geometri
5 millions of speakers

Trends of use of non-Euclidean geometry

TRENDS

TENDENCIES OF USE OF THE TERM «NON-EUCLIDEAN GEOMETRY»

The term «non-Euclidean geometry» is normally little used and occupies the 112.842 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 «non-Euclidean geometry» in the different countries.
Principal search tendencies and common uses of non-Euclidean geometry
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «non-Euclidean geometry».

FREQUENCY OF USE OF THE TERM «NON-EUCLIDEAN GEOMETRY» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «non-Euclidean geometry» during the past 500 years. Its implementation is based on analysing how often the term «non-Euclidean 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 non-Euclidean geometry

EXAMPLES

10 ENGLISH BOOKS RELATING TO «NON-EUCLIDEAN GEOMETRY»

Discover the use of non-Euclidean geometry in the following bibliographical selection. Books relating to non-Euclidean geometry and brief extracts from same to provide context of its use in English literature.
1
Non-Euclidean Geometry
It surveys real projective geometry, and elliptic geometry. After this the Euclidean and hyperbolic geometries are built up axiomatically as special cases. This is essential reading for anybody with an interest in geometry.
H. S. M. Coxeter, 1998
2
Introductory Non-Euclidean Geometry
This fine and versatile introduction to non-Euclidean geometry is appropriate for both high-school and college classes.
Henry Parker Manning, 2013
3
Euclidean and Non-Euclidean Geometry: An Analytic Approach
This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.
Patrick J. Ryan, Ryan, 2009
4
Non-Euclidean Geometry
This is an excellent historical and mathematical view by a renowned Italian geometer of the geometries that have risen from a rejection of Euclid's parallel postulate.
Roberto Bonola, 2012
5
Taxicab Geometry: An Adventure in Non-Euclidean Geometry
Develops a simple non-Euclidean geometry and explores some of its practical applications through graphs, research problems, and exercises. Includes selected answers.
Eugene F. Krause, 1986
6
The History of Non-Euclidean Geometry: Evolution of the ...
This book is an investigation of the mathematical and philosophical factors underlying the discovery of the concept of noneuclidean geometries, and the subsequent extension of the concept of space.
Borís Abramovítsj Rozenfeld, 1988
7
The Fourth Dimension and Non-Euclidean Geometry in Modern Art
During the first three decades of this century, the concept of the fourth dimension had a liberating effect on artists in nearly every important movement, from French Cubism to Surrealism.
Linda Dalrymple Henderson, 1983
8
Non-Euclidean Geometry
A short history of geometry precedes a systematic exposition of the principles of non-Euclidean geometry.
Stefan Kulczycki, 2012
9
The Elements of Non-Euclidean Geometry
This volume became the standard text in the field almost immediately upon its original publication.
D. M.Y. Sommerville, 2012
10
János Bolyai, Non-Euclidean Geometry, and the Nature of Space
An account of the major work of Janos Bolyai, a nineteenth-century mathematician who set the stage for the field of non-Euclidean geometry.
Jeremy Gray, 2004

10 NEWS ITEMS WHICH INCLUDE THE TERM «NON-EUCLIDEAN GEOMETRY»

Find out what the national and international press are talking about and how the term non-Euclidean geometry is used in the context of the following news items.
1
Is there such thing as the beginning and end of time?
... former professor, noticed the spacetime interval resembled a weird version of a “distance” formula called the “non-Euclidean geometry”. «New Statesman, Jul 15»
2
Art review: The Amazing World of MC Escher
He used his amazing technical skills, his interests in non-Euclidean geometry and his brother's professional achievements in crystallography to ... «Scotsman, Jul 15»
3
Your mom was wrong: Do talk to strangers
The guy I talked to had invented a non-Euclidean geometry, he said, and his spare but complicated circle made of recycled wood was an ... «San Francisco Chronicle, Jul 15»
4
Ini Dia Para Tokoh Ilmuwan Muslim Yang Dilupakan Dunia
... Ilm al-Kalam, Islamic Philosophy, Astronomy, Mathematics, Chemistry, Biology and Medicine, Physics, Non-Euclidean Geometry, Science. «HARIANACEH.co.id, Jul 15»
5
Mathematical Thinking, Turing on Imitation Game, Retro Gaming in …
... Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, ... «O'Reilly Radar, Jul 15»
6
How to make Kauffman Stadium more like Minute Maid Park
Outfield walls are comprised of non-Euclidean geometry. When viewed from the right angle, the face of Freddie Patek emerges. From a different ... «Royals Review, Jul 15»
7
Gaming: Nissan's Le Mans racer hits GT6
The aero package boasts the kind of unknowable, non-Euclidean geometry of which HP Lovecraft would be proud. Gaping tunnels that run the ... «Top Gear, Jun 15»
8
Challenge and Abstract Narrative in Adventure Games
Here, the player is dropped into a maze of non-Euclidean geometry. Gated paths are made of white walls, colored blocks, and passages that ... «PopMatters, May 15»
9
We are the Hare: “The Incredible Superfets” Review
From here, the story's shape takes on some kind of non-Euclidean geometry. There are science fiction elements, industrial accidents, ... «Emertainment Monthly, Apr 15»
10
Got Character? Baptism and Consecrated Life
... she favors non-euclidean geometry; every class we'd have the same fascinating discussion about underlying mathematical theory, but we'd ... «Patheos, Apr 15»

REFERENCE
« EDUCALINGO. Non-Euclidean geometry [online]. Available <https://educalingo.com/en/dic-en/non-euclidean-geometry>. Apr 2024 ».
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