The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 42-311
Full Name: Claude Bayeh
Position: Engineer
Age: ON
Sex: Male
Address: dora street st joseph
Country: LEBANON
Tel: 0096170251690
Tel prefix: 00961
Fax:
E-mail address: claude_bayeh_cbegrdi@hotmail.com
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Title of the Paper: Introduction to the Elliptical Trigonometry in Euclidian 2D-space with simulation of four elliptical trigonometric functions Jes, Jes-x, Mar and Rit
Authors as they appear in the Paper: Claude Bayeh
Email addresses of all the authors: claude_bayeh_cbegrdi@hotmail.com
Number of paper pages: 12
Abstract: Trigonometry is a branch of mathematics that deals with relations between sides and angles of triangles. It has some relationship to geometry, though there is disagreement on exactly what that relationship is. For some, trigonometry is just a subtopic of geometry. The trigonometric functions are very important in technical subjects like Astronomy, Relativity, science, engineering, architecture, and even medicine. In this paper, the elliptical trigonometry is introduced in order to be in the future a part of the General Trigonometry topic. Thus, the definition of this original part is presented. The elliptical trigonometric functions are also defined. The importance of these functions is by producing multi signal forms by varying some parameters of a single function. Different signals and forms are analyzed and discussed. The concept of the Elliptical Trigonometry is completely different from the traditional trigonometry in which the study of angles is not the rela!
tion between sides of a right triangle that describes a circle as the previous one, but the idea here is to use the relation between angles and sides of an ellipse form with the internal and external circles formed by the intersection of the ellipse form and the positive parts of x'ox and y'oy axis in the Euclidian 2D space and their projections. This new concept of relations will open a huge gate in the mathematical domain and it can resolve many complicated problems that are difficult or almost impossible to solve with the traditional trigonometry, and it can describe a huge number of multi form periodic signals.
Keywords: Mathematics, Geometry, Trigonometry, Angular function, Multi form signal, Power electronics.
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