Relevant bibliographies by topics / Geometry, Non-Euclidean. Parallels (Geometry)

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Geometry, Non-Euclidean. Parallels (Geometry)'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Geometry, Non-Euclidean. Parallels (Geometry).'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Geometry, Non-Euclidean. Parallels (Geometry)"

1

BEESON, MICHAEL, PIERRE BOUTRY, and JULIEN NARBOUX. "HERBRAND’S THEOREM AND NON-EUCLIDEAN GEOMETRY." Bulletin of Symbolic Logic 21, no. 2 (2015): 111–22. http://dx.doi.org/10.1017/bsl.2015.6.

Full text
Abstract:
AbstractWe use Herbrand’s theorem to give a new proof that Euclid’s parallel axiom is not derivable from the other axioms of first-order Euclidean geometry. Previous proofs involve constructing models of non-Euclidean geometry. This proof uses a very old and basic theorem of logic together with some simple properties of ruler-and-compass constructions to give a short, simple, and intuitively appealing proof.
APA, Harvard, Vancouver, ISO, and other styles
2

BEESON, MICHAEL. "CONSTRUCTIVE GEOMETRY AND THE PARALLEL POSTULATE." Bulletin of Symbolic Logic 22, no. 1 (2016): 1–104. http://dx.doi.org/10.1017/bsl.2015.41.

Full text
Abstract:
AbstractEuclidean geometry, as presented by Euclid, consists of straightedge-and-compass constructions and rigorous reasoning about the results of those constructions. We show that Euclidean geometry can be developed using only intuitionistic logic. This involves finding “uniform” constructions where normally a case distinction is used. For example, in finding a perpendicular to line L through point p, one usually uses two different constructions, “erecting” a perpendicular when p is on L, and “dropping” a perpendicular when p is not on L, but in constructive geometry, it must be done without
APA, Harvard, Vancouver, ISO, and other styles
3

Budiarto, Mega Teguh, and Rini Setyaningsih. "KONFLIK KOGNITIF MAHASISWA DALAM MEMAHAMI KONSEP GEOMETRI HIPERBOLIK DAN ELLIPTIK." JUPITEK: Jurnal Pendidikan Matematika 2, no. 2 (2020): 69–76. http://dx.doi.org/10.30598/jupitekvol2iss2pp69-76.

Full text
Abstract:
Using schemes of Euclid's geometrical concepts in long-term memory to understand hyperbolic geometry and elliptic geometry concepts with assimilation and accommodation allows for cognitive conflict. This study aims to reduce the occurrence of cognitive conflict by understanding the mathematical content of the three of Euclidean geometries, hyperbolic and elliptic. The research was conduct used descriptive exploratory. The results indicate that Euclid's geometry representation is still used in representing hyperbolic and elliptic geometry so that cognitive conflict occurs. Cognitive conflicts t
APA, Harvard, Vancouver, ISO, and other styles
4

Dursun, Uğur. "Null 2-type submanifolds of the Euclidean space E5 with non-parallel mean curvature vector." Journal of Geometry 86, no. 1-2 (2007): 73–80. http://dx.doi.org/10.1007/s00022-006-1817-3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Tsyrenova, V. B. "Lines on the surface in the quasi-hiperbolic space 11^S1/3." Differential Geometry of Manifolds of Figures, no. 51 (2020): 123–34. http://dx.doi.org/10.5922/0321-4796-2020-51-14.

Full text
Abstract:
Quasi-hyperbolic spaces are projective spaces with decaying abso­lute. This work is a continuation of the author's work [7], in which surfac­es in one of these spaces are examined by methods of external forms and a moving frame. The semi-Chebyshev and Chebyshev net­works of lines on the surface in quasi-hyperbolic space are considered. In this pa­per we use the definition of parallel transfer adopted in [6]. By analogy with Euclidean geometry, the semi-Chebyshev network of lines on the surface is the network in which the tangents to the lines of one family are carried parallel along the lines
APA, Harvard, Vancouver, ISO, and other styles
6

Sokolov, Kirill. "Aleksandr Drevin, Nadezhda Udal'tsova: An Exhibition That Never Was." Leonardo 35, no. 3 (2002): 263–69. http://dx.doi.org/10.1162/002409402760105253.

Full text
Abstract:
This juxtaposition of autobiographical statements written in 1933 by Aleksandr Drevin and Nadezhda Udal'tsova, together with an introduction to their artistic careers and a select chronology designed to place them in the context of their times, is intended to show how early twentieth-century Russian art evolved in parallel to Western thought and artistic practice, taking into account contemporary developments in non-Euclidean geometry, physics, mathematics, the laws of perspective and the awareness of the impossibility of “realistically” representing spatial forms on a flat surface, which, at
APA, Harvard, Vancouver, ISO, and other styles
7

Yashnikov, V. P., and H. J. Bunge. "Geometrical Foundations of Texture Analysis. Geodesic Curves and Motions in the group Space of Three-Dimensional Rotations." Textures and Microstructures 30, no. 1-2 (1997): 1–42. http://dx.doi.org/10.1155/tsm.30.1.

Full text
Abstract:
Principal concepts and selected results relating to the inner geometry of the three-dimensional rotation group SO(3) are presented in a form which is appropriate for further applications to various problems of texture analysis. Starting from the basic concepts of regular and piecewise regular curves in the group space SO(3) we consider the functional of the angular length and introduce further geodesic curves. It is shown that the geodesics can be fully characterized, in the group-theoretical terms, as cosets of all possible one-parametric subgroups in the space SO(3). Two kinds of parallelism
APA, Harvard, Vancouver, ISO, and other styles
8

Planat, M., and M. Saniga. "On the Pauli graphs on N-qudits." Quantum Information and Computation 8, no. 1&2 (2008): 127–46. http://dx.doi.org/10.26421/qic8.1-2-9.

Full text
Abstract:
A comprehensive graph theoretical and finite geometrical study of the commutation relations between the generalized Pauli operators of $N$-qudits is performed in which vertices/points correspond to the operators and edges/lines join commuting pairs of them. As per two-qubits, all basic properties and partitionings of the corresponding {\it Pauli graph} are embodied in the geometry of the generalized quadrangle of order two. Here, one identifies the operators with the points of the quadrangle and groups of maximally commuting subsets of the operators with the lines of the quadrangle. The three
APA, Harvard, Vancouver, ISO, and other styles
9

Barsht, Konstantin. "Тема самоубийства и неевклидово пространство в творчестве Федора Достоевского". Slavica Wratislaviensia 167 (21 грудня 2018): 133–46. http://dx.doi.org/10.19195/0137-1150.167.11.

Full text
Abstract:
The theme of suicide and the non-Euclidean spacein the works of Fyodor DostoevskyThe article proposes a hypothesis about the relation between the ethical imperative, inscribed in those Fyodor Dostoyevsky’s heroes-philosophers, who are seeking answers to the “eternal question” about the meaning and purpose of life, and their attempts to overcome Homo Sapiens limitations with the suicide and non-Euclidean geometry, which Dostoevsky met in the 1870s in the Hermann Helmholtz’s works. In the writer’s works was formulated an existential idea, exceeding the boundaries of possibilities, the width of m
APA, Harvard, Vancouver, ISO, and other styles
10

Gardiner, Tony, and H. S. M. Coxeter. "Non-Euclidean Geometry." Mathematical Gazette 86, no. 506 (2002): 364. http://dx.doi.org/10.2307/3621907.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Geometry, Non-Euclidean. Parallels (Geometry)"

1

Braver, Seth Philip. "Lobachevski illuminated content, methods, and context of The theory of parallels /." CONNECT TO THIS TITLE ONLINE, 2007. http://etd.lib.umt.edu/theses/available/etd-07122007-110855/.

Full text
Abstract:
Thesis (Ph. D.)--University of Montana, 2007.<br>Title from title screen. Description based on contents viewed July 19, 2007. Includes German text: Geometrische Untersuchungen zur Theorie der Parallellinien / von Nicolaus Lobatschewsky. Includes bibliographical references (p. 279-282).
APA, Harvard, Vancouver, ISO, and other styles
2

Ross, Skyler W. "Non-Euclidean Geometry." Fogler Library, University of Maine, 2000. http://www.library.umaine.edu/theses/pdf/RossSW2000.pdf.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Strzheletska, Elena. "The Euler Line in non-Euclidean geometry." CSUSB ScholarWorks, 2003. https://scholarworks.lib.csusb.edu/etd-project/2443.

Full text
Abstract:
The main purpose of this thesis is to explore the conditions of the existence and properties of the Euler line of a triangle in the hyperbolic plane. Poincaré's conformal disk model and Hermitian matrices were used in the analysis.ʹ
APA, Harvard, Vancouver, ISO, and other styles
4

Vincent, Hugh. "Using geometric algebra to interactively model the geometry of Euclidean and non-Euclidean spaces." Thesis, Middlesex University, 2007. http://eprints.mdx.ac.uk/6750/.

Full text
Abstract:
This research interprets and develops the 'conformal model of space' in a way appropriate for a graphics developer interested in the design of interactive software for exploring 2-dimensional non-Euclidean spaces. The conformal model of space extends the standard projective model – instead of adding just one extra dimension to standard Euclidean space, a second one is added that results in a Minkowski space similar to that of relativistic spacetime. Also, standard matrix algebra is replaced by geometric ( i.e. Clifford) algebra. The key advantage of the conformal model is that both Euclidean a
APA, Harvard, Vancouver, ISO, and other styles
5

LOIOLA, CARLOS AUGUSTO GOMES. "A TAXICAB FOR EUCLID: A NON EUCLIDEAN GEOMETRY IN BASIC EDUCATION." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2014. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=25026@1.

Full text
Abstract:
PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>A dissertação em tela foi desenvolvida com o intuito de proporcionar ao professor de matemática uma introdução ao estudo das Geometrias Não Euclidianas, um assunto carente em nossas salas de aulas tanto do Ensino Básico como das Licenciaturas em Matemática. Em consonância com os Parâmetros Curriculares Nacionais, são historicamente construídos os conhecimentos matemáticos apresentados para discutir o Quinto Postulado dos Elementos de Euclides e para apresentar a descoberta de n
APA, Harvard, Vancouver, ISO, and other styles
6

Awonusika, Richard Olu. "Harmonic analysis in non-Euclidean geometry : trace formulae and integral representations." Thesis, University of Sussex, 2016. http://sro.sussex.ac.uk/id/eprint/65356/.

Full text
Abstract:
This thesis is concerned with the spectral theory of the Laplacian on non-Euclidean spaces and its intimate links with harmonic analysis and the theory of special functions. More specifically, it studies the spectral theory of the Laplacian on the quotients M = Γ\G/K and X = G/K, where G is a connected semisimple Lie group, K is a maximal compact subgroup of G and Γ is a discrete subgroup of G.
APA, Harvard, Vancouver, ISO, and other styles
7

Haxhi, Karen Kleinschmidt. "The euclidean and hyperbolic geometry underlying M.C. Escher's regular division designs /." View abstract, 1998. http://library.ctstateu.edu/ccsu%5Ftheses/1491.html.

Full text
Abstract:
Thesis (M.S.) -- Central Connecticut State University, 1998.<br>Thesis advisor: Dr. Jeffrey McGowan. "...in partial fulfillment of the requirements for the degree of Master of Science." Includes bibliographical references (leaves [78-79]).
APA, Harvard, Vancouver, ISO, and other styles
8

Oliveira, Vivianne Tasso Perugini de 1975. "Geometria do táxi : pelas ruas de uma cidade aprende-se uma geometria diferente." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306859.

Full text
Abstract:
Orientador: Claudina Izepe Rodrigues<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-25T10:14:12Z (GMT). No. of bitstreams: 1 Oliveira_VivianneTassoPeruginide_M.pdf: 42677277 bytes, checksum: e029738b1504da7dbb6995d59c3b35f5 (MD5) Previous issue date: 2014<br>Resumo: Neste trabalho apresentamos o estudo sobre a Geometria do Táxi, uma Geometria não-Euclidiana de fácil compreensão e muito próxima do cotidiano das pessoas, uma vez que tem uma ampla gama de aplicações em
APA, Harvard, Vancouver, ISO, and other styles
9

Junes, Leandro. "Duality of higher order non-Euclidean property for oriented matroids." Diss., Online access via UMI:, 2008.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Senger, Steven Iosevich Alex. "Erdős distance problem in the hyperbolic half-plane." Diss., Columbia, Mo. : University of Missouri--Columbia, 2009. http://hdl.handle.net/10355/5341.

Full text
Abstract:
The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Title from PDF of title page (University of Missouri--Columbia, viewed on January 14, 2010). Thesis advisor: Dr. Alex Iosevich. Includes bibliographical references.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Books on the topic "Geometry, Non-Euclidean. Parallels (Geometry)"

1

Fragmente und Spuren nichteuklidischer Geometrie bei Aristoteles. De Gruyter, 2010.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

L' aventure des parallèles: Histoire de la géométrie non euclidienne, précurseurs et attardés. P. Lang, 1986.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Jaouiche, Khalil. La théorie des parallèles en pays d'islam: Contribution à la préhistoire des géométries non-euclidiennes. J. Vrin, 1986.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Tanács, János. Ami hiányzik Bolyai János Appendixéből, és ami nem: A Bolyai-féle "parallela" rekonstrukciója. L'Harmattan, 2008.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Parker, Manning Henry. Non-Euclidean geometry. Ginn, 2008.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Manning, Henry Parker. Non-Euclidean geometry. Ginn, 1990.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Kulczycki, Stefan. Non-Euclidean geometry. Dover Publications, 2008.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

Non-Euclidean geometry. 6th ed. Mathematical Association of America, 1998.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Greenberg, Marvin J. Euclidean and non-Euclidean geometries. 4th ed. W.H. Freeman, 2008.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Greenberg, Marvin J. Euclidean and non-Euclidean geometries. 4th ed. W.H. Freeman, 2008.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Book chapters on the topic "Geometry, Non-Euclidean. Parallels (Geometry)"

1

Trudeau, Richard J. "Euclidean Geometry." In The Non-Euclidean Revolution. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-2102-9_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Cederberg, Judith N. "Non-Euclidean Geometry." In A Course in Modern Geometries. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-3490-4_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Borceux, Francis. "Non-Euclidean Geometry." In An Axiomatic Approach to Geometry. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-01730-3_7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Stillwell, John. "Non-Euclidean geometry." In The Four Pillars of Geometry. Springer New York, 2005. http://dx.doi.org/10.1007/0-387-29052-4_8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Busemann, Herbert. "Non-Euclidean Geometry." In Selected Works II. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-65624-3_53.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Hartshorne, Robin. "Non-Euclidean Geometry." In Undergraduate Texts in Mathematics. Springer New York, 2000. http://dx.doi.org/10.1007/978-0-387-22676-7_8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Cederberg, Judith N. "Non-Euclidean Geometry." In A Course in Modern Geometries. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4757-3831-5_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Stillwell, John. "Non-Euclidean Geometry." In Undergraduate Texts in Mathematics. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-6053-5_18.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Natário, José. "Non-Euclidean Geometry." In General Relativity Without Calculus. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21452-3_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Gardner, Martin. "Non-Euclidean Geometry." In The Last Recreations. Springer New York, 1997. http://dx.doi.org/10.1007/978-0-387-30389-5_19.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Geometry, Non-Euclidean. Parallels (Geometry)"

1

M'rabet, Zakaria, Fouad Ayoub, Mostafa Belkasmi, Anouar Yatribi, and Alaoui Ismaili Zine El Abidine. "Non-binary Euclidean Geometry codes: Majority Logic Decoding." In 2016 International Conference on Advanced Communication Systems and Information Security (ACOSIS). IEEE, 2016. http://dx.doi.org/10.1109/acosis.2016.7843943.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Benvenuti, Silvia, and Alessandra Cardinali. "THE MENTAL TELESCOPE: UNDERSTANDING THE GEOMETRY OF EUCLID BY LEARNING THE NON-EUCLIDEAN GEOMETRY." In 12th International Technology, Education and Development Conference. IATED, 2018. http://dx.doi.org/10.21125/inted.2018.2287.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Shirazi, Sareh, Mehrtash T. Harandi, Brian C. Lovell, and Conrad Sanderson. "Object tracking via non-Euclidean geometry: A Grassmann approach." In 2014 IEEE Winter Conference on Applications of Computer Vision (WACV). IEEE, 2014. http://dx.doi.org/10.1109/wacv.2014.6836008.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Zhang, Kai, and Alireza Entezari. "Box Spline Projection in Non-Parallel Geometry." In 2019 IEEE 16th International Symposium on Biomedical Imaging (ISBI). IEEE, 2019. http://dx.doi.org/10.1109/isbi.2019.8759327.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Panichella, Annibale. "An adaptive evolutionary algorithm based on non-euclidean geometry for many-objective optimization." In GECCO '19: Genetic and Evolutionary Computation Conference. ACM, 2019. http://dx.doi.org/10.1145/3321707.3321839.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Moyi, Dahiru. "Geometry of Tapered Pair For Non-Parallel Deployable Links and Applications." In NanoTech 2002 - "At the Edge of Revolution". American Institute of Aeronautics and Astronautics, 2002. http://dx.doi.org/10.2514/6.2002-5710.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Singh, Krishna M., Eldad J. Avital, John J. R. Williams, C. Ji, and A. Munjiza. "Parallel Pressure Poisson Solvers for LES of Complex Geometry Flows." In ASME/JSME/KSME 2015 Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/ajkfluids2015-29748.

Full text
Abstract:
This paper presents an assessment of performance of parallel pre-conditioners for BICGSTAB solver for numerical solution of the pressure Poisson equation arising in large eddy simulation of turbulent incompressible flows. We explore the performance of geometric multigrid pre-conditioner for the non-uniform grid and compare its performance with additive Schwarz pre-conditioner, Jacobi and SOR(k) pre-conditioners. Numerical experiments have been performed for a wide range of non-uniformity (stretching) of the grid. The fictitious domain geometric multigrid preconditioner shows the best performan
APA, Harvard, Vancouver, ISO, and other styles
8

Cardoso, Maicon Schneider, Leomar Soares da Rosa, and Felipe de Souza Marques. "Evaluating Geometric Aspects of Non-Series-Parallel Cells." In SBCCI '15: 28th Symposium on Integrated Circuits and Systems Design. ACM, 2015. http://dx.doi.org/10.1145/2800986.2801008.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Chaeibakhsh, S., Mohammad Hadi Farzaneh Kaloorazi, and Mehdi Tale Masouleh. "Kinematics of a spherical parallel mechanism with identical limb structures using the linear implicitization algorithm and Euclidean Geometry." In 2013 First RSI/ISM International Conference on Robotics and Mechatronics (ICRoM 2013). IEEE, 2013. http://dx.doi.org/10.1109/icrom.2013.6510084.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Hall, Andreia, Isabel Brás, and Sónia Pais. "USING AN ARTISTIC APPROACH TO THE TEACHING OF NON-EUCLIDEAN GEOMETRY IN A PROFESSIONAL DEVELOPMENT COURSE FOR MATHEMATICS TEACHERS." In 13th International Technology, Education and Development Conference. IATED, 2019. http://dx.doi.org/10.21125/inted.2019.0775.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Geometry, Non-Euclidean. Parallels (Geometry)' for particular source types:
Journal articles Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography