Plimpton 322: World's Oldest Trigonometry Using Base-60 Ratios, Not Angles — E8 Intelligence Research

FINDING: Babylonian tablet Plimpton 322 (c. 1800 BCE) is the world's oldest known trigonometric table, using base-60 sexagesimal ratios, not angles. | MATH: Uses Pythagorean triples (a² + b² = c²) in base-60; ratios b²/(c²–b²) or (c²–a²)/a² generate exact sexagesimal fractions. Key constants: 1;24,51,10 (≈√2 in base-60 = 1.41421296…), 0;30 (1/2), 0;45 (3/4). | CONNECTION: Base-60 directly links to 360° circle geometry; ratios 0.618, 1.618 appear in Babylonian reciprocal pairs (e.g., 1;40 and 0;36 → 1.6667 and 0.6, close to golden ratio conjugates). Tablet's column structure mirrors a secant/tangent table: side ratios correspond to slopes of right triangles, prefiguring modern trigonometric functions. | DEPTH: 9 — Profound because it shows ancient knowledge of exact rational trigonometry, predating Greek and Indian work by 1500 years, and reveals a base-60 harmonic system that aligns with crystallographic lattice ratios (e.g., 1:√2, 1:√3 in sexagesimal approximations). Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com