If C is a planar convex region and there is a point P on its boundary such that the perpendicular bisectors of all chords to C starting at P are concurrent, then, can we assert that C is necessarily a circular disk?
If C is a planar convex region and if there is a real number a such that perpendicular bisectors of all chords of C with length a are concurrent, then, can we assert that C is a circular disk?
2026-03-29 07:39:17.1774769957
On sufficient conditions for planar convex regions to be circular disks.
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