Definition:Parallelepiped/Opposite Face
< Definition:Parallelepiped(Redirected from Definition:Opposite Face of Parallelepiped)
Jump to navigation
Jump to search
Definition
The opposite face of the face $F$ of a parallelepiped $P$ is the face of $P$ which is parallel to $F$.
In the above example, the pairs of parallel planes are:
Also known as
The opposite face can also be referred to as the opposite plane.
Historical Note
The term opposite face is never actually defined by Euclid, although he refers to the concept throughout:
In the words of Euclid:
- If a parallelepidedal solid be cut by a plane through the diagonals of the opposite planes, the solid will be bisected by the plane.