群知能と進化的計算の国際ジャーナル

概要

The General Sinus

Mostafa Derraz

In this paper, we will generalize the Sinus function (than the all Trigonometry function), the general Sinus is defined by two parameter Sin (x, y), which it's be able to use in n-gon not necessary in rectangle. We will apply the general trigonometry function in n-gon, in order to determine the all intrinsic properties of n-gon, using a minimum and reasonable amount of data and no condition apply in n-gon nature, based in construability of polygon we determine it's in this mount n-2 segments and n angles. Finally we will prove this formula is the must generalized in Euclidian geometry.