Mathematics Letters

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Geometric Note to the Last Fermat’s Theorem

Received: 02 May 2017    Accepted: 26 June 2017    Published: 25 July 2017
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Abstract

In this paper, we concerned with geometrical interpretation of tangent line to the curve and grid points which can be used to some illustration of Fermat's last theorem. With tangent line we find segment at axis x, y. With using this segments we make a ratio to find condition to grid point at the curve from equation of Last Fermat’s theorem.

DOI 10.11648/j.ml.20170303.11
Published in Mathematics Letters (Volume 3, Issue 3, June 2017)
Page(s) 37-39
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Tangent Line, Grid Point, Elliptic Curve

References
[1] Veselý, F: O dělitelnostičíselcelých. Mladafronta, Praha 1966.
[2] Vít, P: Řeťazovézlomky. Mladáfronta, Praha 1982.
[3] KluvánekI.-Mišík L. Švec M. Matematika 1. Slovenské vydavateľstvo technickej literatúry Bratislava 1959.
[4] Wiles, A. "Modular Elliptic-Curves and Fermat's Last Theorem." Ann. Math. 141, 443-551, 1995. http://math.stanford.edu/~lekheng/flt/wiles.pdf
[5] STEWART, Ian; TALL, David. Algebraic number theory and Fermat's last theorem. CRC Press, 2015.
[6] DI GREGORIO, Leandro Torres. Proof for the Beal conjecture and a new proof for Fermat's last theorem. Int. J. of Pure and Applied Mathematics, 2013, 2.5: 149-155.
[7] ARBARELLO, Enrico, et al. Geometry of algebraic curves. Springer Science & Business Media, 2013.
[8] NEUKIRCH, Jürgen. Algebraic number theory. Springer Science & Business Media, 2013.
[9] DICKSON, Leonard Eugene. History of the theory of numbers: Diophantine Analysis. Courier Corporation, 2013.
[10] http://mathworld.wolfram.com/FermatsLastTheorem.html
[11] LEKKERKERKER, Cornelis Gerrit. Geometry of numbers. Elsevier, 2014.
Author Information
  • Department of Mathematics, Faculty of Natural Science, Constantine the Philosopher in Nitra, Nitra, Slovakia

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    Timotej Sumny. (2017). Geometric Note to the Last Fermat’s Theorem. Mathematics Letters, 3(3), 37-39. https://doi.org/10.11648/j.ml.20170303.11

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    Timotej Sumny. Geometric Note to the Last Fermat’s Theorem. Math. Lett. 2017, 3(3), 37-39. doi: 10.11648/j.ml.20170303.11

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    AMA Style

    Timotej Sumny. Geometric Note to the Last Fermat’s Theorem. Math Lett. 2017;3(3):37-39. doi: 10.11648/j.ml.20170303.11

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  • @article{10.11648/j.ml.20170303.11,
      author = {Timotej Sumny},
      title = {Geometric Note to the Last Fermat’s Theorem},
      journal = {Mathematics Letters},
      volume = {3},
      number = {3},
      pages = {37-39},
      doi = {10.11648/j.ml.20170303.11},
      url = {https://doi.org/10.11648/j.ml.20170303.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ml.20170303.11},
      abstract = {In this paper, we concerned with geometrical interpretation of tangent line to the curve and grid points which can be used to some illustration of Fermat's last theorem. With tangent line we find segment at axis x, y. With using this segments we make a ratio to find condition to grid point at the curve from equation of Last Fermat’s theorem.},
     year = {2017}
    }
    

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    AB  - In this paper, we concerned with geometrical interpretation of tangent line to the curve and grid points which can be used to some illustration of Fermat's last theorem. With tangent line we find segment at axis x, y. With using this segments we make a ratio to find condition to grid point at the curve from equation of Last Fermat’s theorem.
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