Equivalent Statements and Conjectures Associated with Pythagorean Triangles

On Some Important Sequences and Their Relation with Pythagorean - Fermat Triples

“…Bhanotar et.al.have studied Pythagorean Triplets-Associated dual triplets and algebraic Properties, Fermat, Nepoleon Point, and its extension; Alternative, a new interesting algebraic approach using angle properties, and extended the field Q + ∪ {0} , to explore new invention is called Dual of given triplets and some important inter-connectivity with Pythagorean triplets; Many interesting Equivalent statements and conjectures associated with Pythagorean triples have been discovered. See [5][6][7]. Later on, Bhanotar [8,9] has given an extension of Pythagorean triples and associated them with other branches of mathematics, and found the relationship between Fibonacci and Lucas numbers.…”