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abutments actual approximation arch proper arch ring Arthur Harris B.Sc centre line Charles Goring circular coefficients compound catenary arch compressive stress Course on Eugenics cubic foot curve D.Sc determined Diagram directrix Elderton ELLIPTIC AND PSEUDO-ELLIPTIC Equation xxxii Ethel F.R.S. Issued F.R.S. Shortly foot run Francis Galton Laboratory Galton Research Fellow gives ideal arch IDEAL MASONRY ARCH intrados middle third Karl Pearson line at crown line of pressure link polygon load per foot load system Mathematical Contributions Newton's method Opsonic order of approximation parabola practical purposes PRACTICAL THEORY Price pseudo-elliptic arch ratio of rise rib load rise and span rise to span semi-axis shewn shews so-called critical line special reference springings system of loading THEORY OF ELLIPTIC tons touch the extrados true line uniform load uniform platform load UNIVERSITY OF LONDON values vertical load rising W. D. REYNOLDS W. F. STANTON weight per cubic