Plimpton 322: 3800-Year-Old Babylonian Tablet as Oldest Trigonometric Table — E8 Intelligence Research

FINDING: Plimpton 322 is a 3800-year-old Babylonian clay tablet containing a systematic list of 15 Pythagorean triples, now proven to be the world's oldest known trigonometric table, using base-60 (sexagesimal) arithmetic and ratios rather than angles. MATH: - Pythagorean triples: \(a^2 + b^2 = c^2\) (e.g., (3,4,5), (5,12,13), etc.) - Tablet lists 15 pairs of numbers corresponding to \( b^2/a^2 \) (or \( c^2/a^2 \)) in sexagesimal notation. - Key ratios derived: \( b/a \) (slope) and \( c/a \) (hypotenuse/base) — essentially a table of secants or tangents. - Base-60 system: numbers expressed as sums of powers of 60, enabling exact fractions (e.g., 1/60, 1/3600). - No explicit angles; instead, ratios of sides define the trigonometric function. CONNECTION: - Base-60 directly links to geometric harmony: 60 is divisible by 2,3,4,5,6,10,12,15,20,30 — enabling exact ratios like 1/2, 2/3, 3/4, 5/6, etc. - The ratios on the tablet include approxi Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com