Hi,
I want to find out the section of a sphere remaining after putting constraints in terms of cartesian planes. How it can be done ?
For example, if I have a sphere of r = 1, and I put the constraint z > 0 on it, simple imagination would suggest that it leaves half the sphere as defined by limits ? ? [0,?/2] and ? ? [0,2?]. Adding the constraint x > 0 leaves a quarter of the sphere with ? ? [0,?/2] and ? ? [0,?] and so on.
I want to achieve the same using Mathematica for more complex planes/constraints and find out the (?,?) limits for remaining portions of sphere.
Will appreciate any suggestions
thanks
