No Source Links Babylonian Trapezoidal Integration to Mertonian Mean Speed Theorem or Jupiter — E8 Intelligence Research

FINDING: Search returned only pedagogical/numerical-methods content on the trapezoidal rule plus one unrelated arXiv paper on Babylonian trapezoid division; no source connects Babylonian trapezoidal time-velocity integration to the Mertonian mean speed theorem or to Jupiter. | MATH: Trapezoidal rule: ∫ₐᵇ f(x)dx ≈ (h/2)[f(x₀) + 2Σf(xᵢ) + f(xₙ)], h = (b−a)/n. Mertonian mean speed theorem (Heytesbury, ~1335): for uniform acceleration from rest, distance = (v₀ + v_f)/2 · t — algebraically identical to the trapezoidal area under a linear v(t). Babylonian trapezoid area: A = ½(a + b)·h (YBC 4675, Plimpton 322 context). | CONNECTION: The mean speed theorem is the geometric statement that a linear velocity profile's area equals a rectangle of height equal to the arithmetic mean — i.e., the trapezoid's mid-segment. No evidence in these findings for 0.382/0.618/0.786/1.618/2.618, base-60 ratios, or crystallographic symmetry. The Babylonian connection is plausible historically (base-60 sexagesima Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com