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Construct a paired Pythagorean Triangle FGJ in accordance with base, side, and hypotenuse as indicated in the below Table of Formulas. A pair of Pythagorean Triangles have short sides, radius (r) and base (b), which vary by the Elliptical Constant (EC) = . 
Construct a Pythagorean Triangle
HIK in accordance with base, side, and hypotenuse as indicated in the below Table of Formulas. Pythagorean Triangles are triangles with a right angle; and, all sides that are integers. 
A Pythagorean Triangle Pair (PTP) can be mapped to every integer greater than One. Four angles (two of the six angles are right angles) and all six sides of a Pythagorean Triangle Pair are of unlike values. 

One must
continuously ask: Why? Why? Why?; and, Why? again. And, realize that Fundamental Nature is the source of all Mathematics! 
Summary  Epsilon equals One  Proof of One  Inverse Square Law  Elliptical Constant  Duality of Infinity 
Natural Function  Brunardot Theorem 
revised Fibonacci Sequence 
Challenge to Academe  Pulsoid Theorem  Fundamental Intrinsic Time 
Salient Structural Parts  Universal Locus  Antimatter  Heaven/God/Hell  Philogic  Entanglement 