About An Arbitrary Axis
Consider an infinite cylinder whose axis lies along the vector
We make use of spherical coordinates:
These variables can be used to define A and B, the orthogonal vectors that form the basis for the cylinder:
With these defined, we may use the familiar formula for a cylinder:
where R is the radius of the cylinder. These results are usually derived using rotation matrices.
Read more about this topic: Cylinder (geometry)
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