Summary
The theory of plane convex domains contains some gaps. The present paper contains an exposition, 3 conjectures, one of which is new, as well as partial proofs of the latter conjecture.
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Bieri, H. Beitrag zur Theorie der konvexen Bereiche der euklidischen Ebene. Experientia 22, 617–618 (1966). https://doi.org/10.1007/BF01895287
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DOI: https://doi.org/10.1007/BF01895287