Measures of axial symmetry for ovals
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A measure of axial symmetry for ovals is defined, and eleven particular measures are studied. Lower bounds for these measures are determined on the classes of arbitrary ovals, centrally symmetric ovals, and ovals of constant breadth. The proofs of these results make use only of elementary geometry and the properties of convexity.
KeywordsAxial Symmetry Isoperimetric Inequality Constant Breadth Load Curve Support Line
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