Right Triangle Exchange Sides (Analytical Form)

Abstract

This paper includes mathematical proofs and theories to estimate the extension of perimeters subject to trigonometric estimations (estimating on algebraic algorithms between sides). These theories are about the 135o (Semi-rectangle Theory, Anti-Pythagorean Theory), products β (Products semi-rectangles type β), the theory of extension β (Symmetric Theory), products right triangle type β, products right triangle type δ, interconnection δ-β, semi-rectangles type δ-β, extensions algorithms, semi-rectangle exchange sides, right triangle exchange sides. Therefrom is determined a way to transform trigonometric sides subject to special conditions.

Keywords: trigonometrical analysis, transformation, exchange sides