Theorem of the complex exponentials

Alberto Daunisi

Abstract


This paper describes a new theorem that relates the lengths of the legs of a right triangle with the ratio of three complex exponentials. The big novelty of the theorem consists in transforming two real measures of legs derived from Euclidean geometry into a combination of imaginary elements obtained from the complex analysis.


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References


Alberto Daunisi (2014). L’Ultimo Teorema di Fermat,Storia matematica, BookSprint Edizioni, Salerno-Italy.

Howard Levi (1960). Foundations of geometry and trigonometry, Prentice-Hall, Inc. Englewood Cliffs, New Jersey.

Joseph Bak and Donald Newman (1997). Complex Analysis, Springer-Verlag New York Inc.

Morris Kline (1998). Calculus, Dover Publications,Inc. Mineola,New York.

Barry Mazur (2004). Imaging numbers, Picador (Farrar,Straus and Giroux), New York.




DOI: http://dx.doi.org/10.23755/rm.v36i1.472

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.