Results 31 to 40 of about 12,845,141 (320)

Do mito da Geometria Euclidiana ao ensino das Geometrias Não Euclidianas

open access: yesVértices, 2010
Das tentativas frustradas de provar que o quinto postulado de Euclides era um teorema, surgiram as Geometrias Não Euclidianas. Com os quatro primeiros postulados de Euclides e a negação do quinto, surgiram outras Geometrias cujos postulados são possíveis
Mylane dos Santos Barreto   +1 more
doaj   +1 more source

Non-Euclidean Geometry with Art by Means of GeoGebra

open access: yesThe International Journal for Technology in Mathematics Education, 2019
In this paper, a teaching path on non-Euclidean geometry focused on the Poincaré-disk model, and its connection with art is shown. We consider as artistic contents the Escher’s hyperbolic art and some paradoxes on Magritte’s work.
Daniela Ferrarello   +2 more
semanticscholar   +1 more source

The Renaissance Concept of Space: Notes on the Interaction between Arts and Sciences in History [PDF]

open access: yesActa Baltica Historiae et Philosophiae Scientiarum, 2015
“Renaissance concept of space” harbors surely some definite bonuses for anybody embarking on a study of the inventive role that philosophy has had, in its happiest moments of life, for human cognition.
Rein Undusk
doaj   +1 more source

Non-Euclidean Geometry, Nontrivial Topology and Quantum Vacuum Effects

open access: yesUniverse, 2018
Space out of a topological defect of the Abrikosov–Nielsen–Olesen (ANO) vortex type is locally flat but non-Euclidean. If a spinor field is quantized in such a space, then a variety of quantum effects are induced in the vacuum.
Yurii A. Sitenko   +1 more
doaj   +1 more source

Non-Euclidean Geometry and Defected Structure for Bodies with Variable Material Composition

open access: yesJournal of Physics, Conference Series, 2019
In the paper the relationship between pure geometrical concepts of the theory of affine connections, physical concepts related with non-linear theory of distributed defects and concepts of non-linear continuum mechanics for bodies with variable material ...
S. Lychev   +3 more
semanticscholar   +1 more source

On Klein's So-called Non-Euclidean geometry [PDF]

open access: yes, 2014
In two papers titled "On the so-called non-Euclidean geometry", I and II, Felix Klein proposed a construction of the spaces of constant curvature -1, 0 and and 1 (that is, hyperbolic, Euclidean and spherical geometry) within the realm of projective ...
N. A'campo, A. Papadopoulos
semanticscholar   +1 more source

1. Non-Euclidean Geometry [PDF]

open access: yesProceedings of the Royal Society of Edinburgh, 1880
When I had the honour of being asked by the Council of the Royal Society to give the following address, I chose the subject partly because it had been brought under the notice of the fellows by my predecessor, Professor Kelland. His memoir was written comparatively early in the history of the subject; and he seems to have been but little acquainted ...
openaire   +2 more sources

TRANSFORMATION OF MATHEMATICAL KNOWLEDGE FOR TEACHING NON-EUCLIDEAN GEOMETRY CONCEPT THROUGH E-LEARNING BASED ON THE THEORY OF DIDACTIC SITUATIONS USING A MULTIPHASE MIXED METHOD

open access: yesJurnal Ilmiah Ilmu Terapan Universitas Jambi
The understanding of non-Euclidean geometry is essential for mathematics teachers as it can broaden the spatial perspective and enhance logical and abstract thinking.
Mery Noviyanti, Sudirman Sudirman
semanticscholar   +1 more source

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