A water clock used in ancient Greek is designed as a closed vessel with a small orifice \( O \)....

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A water clock used in ancient Greek is designed as a closed vessel with a small orifice \( O \). The time is determined according to the level of the water in the vessel. What should be the shape of the vessel be for the time scale to be uniform. Find mathematical equation governing curve \( A O B \).
Figure \( 7.123 \)
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