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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Study of Families of Curves in the Euclidian Plan

Belaib Lekhmissi, Bouarroudj Nadra and Hocine El Habib

Abstract

Non-standard analysis techniques are more considered in approaching complex mathematical domains. By using some concepts of non-standard analysis methods such as regionalization method, we deal with a family of curves in an Euclidian plan. The solutions of the algebraic equations representing these curves in a plan have an hyperbolic forms.

Journal of Mathematics and Statistics
Volume 3 No. 3, 2007, 100-105

DOI: https://doi.org/10.3844/jmssp.2007.100.105

Published On: 30 September 2007

How to Cite: Lekhmissi, B., Nadra, B. & Habib, H. E. (2007). Study of Families of Curves in the Euclidian Plan. Journal of Mathematics and Statistics, 3(3), 100-105. https://doi.org/10.3844/jmssp.2007.100.105

Open AccessCopyright: © 2007 Belaib Lekhmissi, Bouarroudj Nadra and Hocine El Habib. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Non-standard analysis
  • regionalization
  • unlimited number
  • infinitesimal
  • appreciable