Approximate Ellipse with Four Centers

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“Join A and D. Lay off DF equal to AC-DC. Bisect AF by a perpendicular crossing AC at G and intersecting DE produced at H. Make CG’ equal to CG and CH’ equal to CH. Then G, G’, H, and H’ will be centers for four arcs approximating the ellipse. The half of this ellipse when used in masonry construction is known as the three-centered arch.” —French, 1911

Keywords

ellipse, ellipses, Approximate Ellipse with Four Centers, Approximate Ellipse with 4 Centers, approximate ellipse 4 centers

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Geometric Constructions

Source

French, Thomas E A Manual of Engineering Drawing for Students and Draftsmen (New York, NY: McGraw-Hill, 1911)

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