Definition:Skew Lines

Definition

Let $L_1$ and $L_2$ be two straight lines in $3$-dimensional Euclidean space.

$L_1$ and $L_2$ are said to be skew if and only if, when produced, they are neither intersecting nor parallel.

Also known as

Skew lines are also known as agonic.

Also see

• Skew Lines Cannot Exist in Euclidean Plane

• Results about skew lines can be found here.

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): agonic
• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): skew: 1 a.
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): skew lines
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): skew lines