[Verse 1] In the world of right triangles, there's a secret code Where whole numbers dance in perfect mode Ancient Greeks discovered this mystical relation Three integers locked in squared equation [Chorus] m squared minus n squared gives you side a Two times m times n makes side b today m squared plus n squared creates the longest side Pythagorean triples, where perfection hides When m exceeds n and their greatest common factor's one When m minus n is odd, the magic's done [Verse 2] Start with five and twelve and thirteen bright These numbers form a perfect right But dig deeper to the primitive core Where coprime pairs unlock the door [Chorus] m squared minus n squared gives you side a Two times m times n makes side b today m squared plus n squared creates the longest side Pythagorean triples, where perfection hides When m exceeds n and their greatest common factor's one When m minus n is odd, the magic's done [Bridge] Take m as three and n as two Nine minus four equals five, it's true Six comes from twice three times two Thirteen from nine plus four, breakthrough [Verse 3] Every primitive triple follows this design No exceptions to this geometric shrine Generate infinite families with this key Mathematics in perfect harmony [Chorus] m squared minus n squared gives you side a Two times m times n makes side b today m squared plus n squared creates the longest side Pythagorean triples, where perfection hides When m exceeds n and their greatest common factor's one When m minus n is odd, the magic's done [Outro] From Babylon to modern calculation This formula spans every nation In the realm where squares meet harmony Lives eternal mathematics poetry
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