Sheaf of planes

In mathematics, a sheaf of planes is the set of all planes that have the same common line. 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.

单词	Sheaf of planes
释义	Sheaf of planes 英语百科 Sheaf of planes In mathematics, a sheaf of planes is the set of all planes that have the same common line. 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.
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