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- W2000503716 abstract "and at least one of the inequalities is strict. Now let three ellipses IA, TB, and XIPQ with foci F1 and F2 be drawn to pass through A, B, and Q, respectively (Figure 5). Since T has the same reflection property as the ellipses, it must be tangent to them at the contact points A, B, and Q. However, the shorter arc AB of T runs from a point B inside 'IJQ to a point A outside it. Since the curve T is convex, it could not then be tangent to JQ. This contradiction leads us to the conclusion that m = M, and thus all four curves must coincide. M" @default.
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- W2000503716 date "2003-11-01" @default.
- W2000503716 modified "2023-10-18" @default.
- W2000503716 title "A Characterization of the Unit Sphere" @default.
- W2000503716 cites W1569094508 @default.
- W2000503716 doi "https://doi.org/10.1080/00029890.2003.11920023" @default.
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