Open AccessStudy of Families of Curves in the Euclidian Plan
Author(s) -
Belaib Lekhmissi,
Bouarroudj Nadra,
Hocine El Habib
Publication year - 2007
Publication title -
journal of mathematics and statistics
Language(s) - English
Resource type - Journals
eISSN - 1558-6359
pISSN - 1549-3644
DOI - 10.3844/jmssp.2007.100.105
Subject(s) - mathematics , euclidean geometry , plan (archaeology) , family of curves , algebraic number , algebra over a field , pure mathematics , mathematical analysis , geometry , geography , archaeology
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