Conversion Square Algorithm – Rectangle (Synthesis) [Analytical Form]

Abstract

This paper includes mathematical proofs and theories to estimate the extension of perimeters subject to trigonometric estimations (estimating on algebraic algorithms for aggregate rectangles. 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, conversion algorithm square – rectangle (synthesis). Therefrom is determined a way to transform trigonometric shape of aggregate rectangle to other forms subject to special conditions.

Keywords: trigonometrical analysis, aggregate rectangles, transformation, exchange sides