2016/10/03 by Steven R. Finch, Finch, Steven
Economics, Econometrics and Finance · Mathematics · #51M25 #52A22 #52A38 (Secondary) #60D05 (Primary) 51M04 #62E15 #62H10 #Complex Systems and Time Series Analysis #FOS: Mathematics #Financial Risk and Volatility Modeling #History and Overview (math.HO) #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Probability (math.PR)
paper · pdf · doi:10.48550/arxiv.1610.00510
openalex publication_date 2016/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The circumcircle of a planar convex polygon P is a circle C that passes through all vertices of P. If such a C exists, then P is said to be cyclic. Fix C to have unit radius. While any two angles of a uniform cyclic triangle are negatively correlated, any two sides are independent. In contrast, for a uniform cyclic quadrilateral, any two sides are negatively correlated, whereas any two adjacent angles are uncorrelated yet dependent.