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Literature review reveals no direct relationship between Plimpton 322 and the tangent-secant theorem, suggesting distinct geometric origins.
FINDING: The search results are a mixed bag — mostly pedagogical videos on the tangent-secant theorem and golden ratio, plus one genuine research paper on hexaquark decay. No direct link between Plimpton 322 and the tangent-secant theorem is established in these results. | MATH: Tangent-secant theorem: \(PT^2 = PA · PB\) (where PT is tangent, PA/PB are secant segments). Golden ratio: \(φ = (1+√5)/2 ≈ 1.618\), with reciprocal \(1/φ = φ-1 ≈ 0.618\). Plimpton 322: 15 rows of Pythagorean triples, parameterized by \(a = 2uv\), \(b = u^2-v^2\), \(c = u^2+v^2\) (standard form), with ratios \(b/a\) or \(c/a\) in sexagesimal. Hexaquark paper: SU(3) antidecuplet, decay widths via effective field theory — no explicit constants given in the abstract. | CONNECTION: The tangent-secant theorem yields power of a point: \(PA · PB = PT^2\). If \(PT = 1\) and \(PA = φ\), then \(PB = 1/φ = 0.618\) — a direct geometric construction of the golden ratio via circle geo Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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