Plimpton 322: Old Babylonian Sexagesimal Trigonometry via Pythagorean Ratios — E8 Intelligence Research

July 20, 2026Open Access

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Key Points

The aim is to analyze Plimpton 322, an ancient tablet, to explore its implications for early trigonometry.
Examined 15 rows of Pythagorean triples on Plimpton 322 clay tablet.
Identified normalized ratios of sides in base-60 arithmetic.
Compared derived ratios with known geometric harmony constants.
The tablet contains Pythagorean triples representing the world's oldest known trigonometric table.
Identified ratios approximate key harmonic constants, e.g., row 1 shows b/a ≈ 0.786.
Demonstrated calculations for secant and tangent values derived from the tablet's entries.

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Independent analysis reveals ancient Babylonian clay tablet's trigonometric significance through ratios and base-60 arithmetic.

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Andrew Stewart Caldin (2026) studied this question.

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