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Take a plane curve $\gamma$ and a discdisk of fixed radius whose center moves along $\gamma$. Suppose that $\gamma$ always cuts the disk in two simply connected regions of equal area. Is it true that $\gamma$ must be a straight line?
Take a plane curve $\gamma$ and a disc of fixed radius whose center moves along $\gamma$. Suppose that $\gamma$ always cuts the disk in two simply connected regions of equal area. Is it true that $\gamma$ must be a straight line?
Take a plane curve $\gamma$ and a disk of fixed radius whose center moves along $\gamma$. Suppose that $\gamma$ always cuts the disk in two simply connected regions of equal area. Is it true that $\gamma$ must be a straight line?
Take a plane curve $\gamma$ and a circledisc of fixed radius whose center moves along $\gamma$. Suppose that $\gamma$ always cuts the circledisk in two simply connected regions of equal area. Is it true that $\gamma$ must be a straight line?
Take a plane curve $\gamma$ and a circle of fixed radius whose center moves along $\gamma$. Suppose that $\gamma$ always cuts the circle in two simply connected regions of equal area. Is it true that $\gamma$ must be a straight line?
Take a plane curve $\gamma$ and a disc of fixed radius whose center moves along $\gamma$. Suppose that $\gamma$ always cuts the disk in two simply connected regions of equal area. Is it true that $\gamma$ must be a straight line?
Take a plane curve $\gamma$ and a circle of fixed radius whose center moves along $\gamma$. Suppose that $\gamma$ always cuts the circle in two simply connected regions of equal area. Is it true thathat$\gamma$ must be a straight line?
Take a plane curve $\gamma$ and a circle of fixed radius whose center moves along $\gamma$. Suppose that $\gamma$ always cuts the circle in two simply connected regions of equal area. Is it true tha$\gamma$ must be a straight line?
Take a plane curve $\gamma$ and a circle of fixed radius whose center moves along $\gamma$. Suppose that $\gamma$ always cuts the circle in two simply connected regions of equal area. Is it true that$\gamma$ must be a straight line?
