Sheaf of planes

From Infogalactic: the planetary knowledge core
Jump to: navigation, search

In mathematics, a sheaf of planes is the set of all planes that have the same common line.[1][2] It may also be known as a pencil or fan of planes.

When extending the concept of line to the line at infinity, a set of parallel planes can be seen as a sheaf of planes intersecting in a line at infinity. To distinguish it from the more common definition the adjective parallel can be added to it, resulting in the expression: parallel sheaf of planes.[3]

See also

Notes

  1. Definition on Mathworld Wolfram
  2. Lua error in package.lua at line 80: module 'strict' not found.
  3. Vitutor: Sheaf of Planes