Question: Convert expressions, planes and Equations both ways

Hello everybody,

 

Consider I have a plane equation: x^2+y^2 + z^2=8

Or every formula of hyperboloid, or another similar equation.

I want you to explain me how to convert from plugged form to the interpreted form and to parametric form such equations.

Please show me an example, as you know every plane equation can be parametric, interpreted and plugged.

Hope you understand what do I mean, 3 types of presentations of the plane equation.

 

Hope for your help : how to convert from different types, and how to do this in maple.

Thanks in advance,

Steve

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