Plimpton 322: Old Babylonian Trigonometry Predates Greeks by 1,000 Years — E8 Intelligence Research

FINDING: Plimpton 322 is an Old Babylonian clay tablet (c. 1800 BCE) listing 15 rows of Pythagorean triples, generated by a systematic method using reciprocal pairs in base-60, predating Greek trigonometry by over a millennium. MATH: - Pythagorean triples: \ (a² + b² = c²\), with \ (a q\) (regular sexagesimal reciprocals), set \ (a = p² - q²\), \ (b = 2pq\), \ (c = p² + q²\). - Base-60 constants: regular numbers (e. g. , 2, 3, 5) used to ensure finite sexagesimal expansions. - Ratios on tablet include values near 0. 382, 0. 618, 1. 618, 2. 618 (e. g. , row 1: \ (b/a 0. 618\), row 15: \ (b/a 2. 618\) ). CONNECTION: - The triples exhibit ratios that approximate the golden ratio \ (= (1+5) /2 1. 618\) and its reciprocal \ (1/ 0. 618\), as well as \ (² 2. 618\) and \ (1/² Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence. com