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What curve lying above the x-axis has the property that the length of the arc joining any two points on it is proportional to the area under the arc?

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    what about y = 12012-09-20
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    Any horizontal line will do.2012-09-20
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    How would I prove this? Or how would I explain this on a quiz?2012-09-20
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    You would prove it by finding the length of the arc joining two general points on the horizontal line, and finding the area under this arc, and noting the simple relation between them.2012-09-20

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