Trace the curve \( a^{4} y^{2}=x^{5}(2 a-x) \), and prove that its area is to that of the circle...

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Trace the curve \( a^{4} y^{2}=x^{5}(2 a-x) \), and prove that its area is to that of the circle whose radius is \( a \) as 5 to 4 .
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