Definition:Pencil

From ProofWiki
Jump to navigation Jump to search

Definition

A pencil is a set of objects in the context of geometry all of which have some common property.


Pencil of Lines

Let $P$ be a point embedded in a space $S$.

The pencil of lines through $P$ is the set of straight lines $\LL$ in $S$ such that $P$ is on $\LL$.


Also see

  • Results about pencils can be found here.


Sources