Version 1
: Received: 25 June 2021 / Approved: 28 June 2021 / Online: 28 June 2021 (10:23:43 CEST)
How to cite:
Giménez, J.; Thaqi, X.; Vanegas, Y. Geometrical Transformations and Development of Geometry. Preprints2021, 2021060636. https://doi.org/10.20944/preprints202106.0636.v1
Giménez, J.; Thaqi, X.; Vanegas, Y. Geometrical Transformations and Development of Geometry. Preprints 2021, 2021060636. https://doi.org/10.20944/preprints202106.0636.v1
Giménez, J.; Thaqi, X.; Vanegas, Y. Geometrical Transformations and Development of Geometry. Preprints2021, 2021060636. https://doi.org/10.20944/preprints202106.0636.v1
APA Style
Giménez, J., Thaqi, X., & Vanegas, Y. (2021). Geometrical Transformations and Development of Geometry. Preprints. https://doi.org/10.20944/preprints202106.0636.v1
Chicago/Turabian Style
Giménez, J., Xhevdet Thaqi and Yuly Vanegas. 2021 "Geometrical Transformations and Development of Geometry" Preprints. https://doi.org/10.20944/preprints202106.0636.v1
Abstract
A way of systematizing different geometries by geometrical transformations is presented by using Klein’s perspective. Symmetry is considered the basic precedent, and different groups of transformations are introduced by using Erlangen program ideas. So, to focus on the importance of geometric transformations, two purposes are shown: first, the classification of geometries is based on the invariants of geometric transformations; and second, the construction of geometry unlike the theory of deduction can be done by means of geometric transformations.
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
