Vol.8, No.1, February 2019.                                                                                                                                                                             ISSN: 2217-8309

                                                                                                                                                                                                                        eISSN: 2217-8333


TEM Journal



Association for Information Communication Technology Education and Science

Diophantine Geometry in Space 𝑬𝟐 and 𝑬𝟑


Viliam Ďuriš, Timotej Šumný


© 2019 Viliam Ďuriš, published by UIKTEN. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. (CC BY-NC-ND 4.0)


Citation Information: TEM Journal. Volume 8, Issue 1, Pages 78-81, ISSN 2217-8309, DOI: 10.18421/TEM81-10, February 2019.


Received: 27 September 2018.
Accepted: 28 January 2019.
Published: 27 February 2019.




In this paper, we are focusing on solving Diophantine equations with geometry. Integers that are solutions of Diophantine equations are represented in space by a lattice. We will use the fact that equations can be interpreted geometrically as curves or surfaces. To determine the properties of the solutions, we will use tangents (of the surface).


Keywords – Geometry, Equations, Space, Surface, Solutions.



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