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[ATM] Conic height

Before I set up some form of iterative solution...

Does anyone know of a closed form equation (or one of two
roots)for the following:

 From a point on the node of a conic section at height yn from
the axis, draw a line intersecting the conic section, such that
it is normal to it.  What is the height, yc, at the conic
section.


-- 

Rick S.

http://users.rcn.com/rflrs

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