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)
Famous quotes containing the words arbitrary and/or axis:
“Me, what’s that after all? An arbitrary limitation of being bounded by the people before and after and on either side. Where they leave off, I begin, and vice versa.”
—Russell Hoban (b. 1925)
“A book is not an autonomous entity: it is a relation, an axis of innumerable relations. One literature differs from another, be it earlier or later, not because of the texts but because of the way they are read: if I could read any page from the present time—this one, for instance—as it will be read in the year 2000, I would know what the literature of the year 2000 would be like.”
—Jorge Luis Borges (1899–1986)