GEOMETRY OF THE FOCAL SURFACES OF THE INVERSE SURFACE OF A REGULAR SURFACE IN E3

Author:

FIDAN MEHMET1,SARIOĞLUGIL AYHAN1

Affiliation:

1. Ondokuz Mayıs University, Faculty of Sciences and Art, Department of Mathematics, 55200 Atakum, Samsun.

Abstract

The purpose of this paper, first, is to give a definition of the focal surfaces of the inverse of a given regular surface in E3. Second, some new characteristic properties of the focal surfaces are to express depending on the algebraic invariants of the inverse surface of a given regular surface. In the last part of the study, we gave examples supporting our claims and plotted their graphics with the help of Maple software.

Publisher

Valahia University of Targoviste - Journal of Science and Arts

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference42 articles.

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3. Plücker, J., Journal für die Reine und Angewante Mathematik, 11, 219, 1834.

4. Plücker, J., Journal für die Reine und Angewante Mathematik, 19, 91, 1839.

5. Euler, L., Novi Comment Acad. Sci.Petrop., 14, 46, 1770.

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