Sanjoy Nath's Spiral(C) Equals in Area of Sanjoy Nath's Triangle(C) - SanjoyNath/SanjoyNathGeometrifyingTrigonometry GitHub Wiki

eiπ+1=0 is the case where π itself contains a 4 in its expansion . The Semi circle forms due to imaginary number is a specific type of orientation as per Sanjoy Nath's Geometrifying Trigonometry(C). To validate other things , i need to cross verify series solutions in the CAD programming and Tekla Programming through algorithms. So i am concerned if i need to redefine or re present some terms of Trigonometric expressions in Pure Euclidean Geometric way.

On 03.02.2019 Until complete CAD programming is done through AutoLisp and also in Oracle PL we cannot conclude completely that ô ö ò ó types of orientational products can replace imaginary number from Eulers equation or not

[https://math.stackexchange.com/questions/3104746/why-is-number-4-so-much-important-in-all-trigonometric-series]

(We can make whole Trigonometry as a Group Theoretic Analysis Systems)