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Euclid Squares on Infinite Planes

By Kandasamy, W. B. Vasantha

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Book Id: WPLBN0100303055
Format Type: PDF (eBook)
File Size: 4.61 MB.
Reproduction Date: 10/1/2015

Title: Euclid Squares on Infinite Planes  
Author: Kandasamy, W. B. Vasantha
Language: English
Subject: Non Fiction, Science
Collections: Mathematics, Authors Community
Publication Date:
Publisher: EuropaNova
Member Page: Infinite Science


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Vasantha Kandasamy, W. B., & Smarandache, F. (2015). Euclid Squares on Infinite Planes. Retrieved from

In this book the authors for the first time study special type of Euclid squares in the real plane, complex plane, neutrosophic plane, dual number plane and their specializations. This study can be visualized as a blend of algebra, geometry and analysis. There are six such planes and they behave distinctly. From the study it is revealed that each type of squares behave in a different way depending on the plane. The authors define several types of algebraic structures on them. Such study is new, innovative and interesting. However for some types of squares; one is not in a position to define product. Further under addition these squares from a group. One of the benefits is addition of point squares to any square of type I and II is an easy translation of the square without affecting the area or length of the squares. There are over 150 graphs which makes the book more understandable.


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