Deriving the Witch of Agnesi Curve

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IvanCow
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Hello,
I have encountered an exercise in my differential geometry book: to derive the parametrisation and the cartesian equation of the curve witch of Agnesi.

To see how it is constructed please see:

http://en.wikipedia.org/wiki/Witch_of_Agnesi"

How would one derive the results? I am lost. Please help. Thanks.
 
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From the geometric construction and Phytagora's theorem.
 

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