Application of algebra to geometry

M  Sivasubramanian

doi:10.17485/ijst/2009/v2i10.16

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2009/v2i10.16

Year: 2009, Volume: 2, Issue: 10, Pages: 23-24

Original Article

Application of algebra to geometry

M. Sivasubramanian

Dept. of Mathematics, Dr. Mahalingam College of Engineering and Technology, Pollachi, Tamilnadu– 642 003, India.

*Author for the correspondence:
M. Sivasubramanian
Dept. of Mathematics, Dr. Mahalingam College of Engineering and Technology,
Pollachi, Tamilnadu– 642 003, India.
E-mail: [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The famous unsolved classical problem such as trisection of a general angle, doubling the cube, squaring the circle, to draw a regular septagon and to prove the parallel postulate of Euclidean geometry as a theorem are forgotten by the research community. These problems were shown mathematically and logically impossible to solve. In this work the author made a brief survey and attempted to establish the fifth Euclidean postulate.

Keywords: Algebra, geometry MSC: 50 MO4, 08C99; PACS: 02.40 Dr,02.40.Ky