MERLIN SCIENCE — Plimpton 322: Ancient Babylonian Sexagesimal Trigonometry Predating Gr — E8 Intelligence Research

Fifteen rows of cuneiform, four thousand years old, and they already knew the secant-tangent identity. That's the finding: Plimpton 322 is an exact sexagesimal trigonometric table, generated by reciprocal pairs, and it precedes Greek trigonometry by a thousand years. Not a list of random numbers, but a structured set of ratios normalized to a hypotenuse of one. The problem this touches is the origin of mathematical abstraction. We tend to credit the Greeks with inventing trigonometry as a geometric discipline. But this tablet shows the Babylonians had a working, computational trigonometry built on rational parametrization of the unit circle. They didn't measure angles in degrees; they worked with squared ratios of sides. Specifically, each row lists the square of the secant and the square of the tangent for a specific angle, in base sixty. The key identity is simple: secant squared equals one plus tangent squared. That's row one, where you see 1;59,15 — which is 1.9875 in decimal, cor Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com