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Symbol. The parallel symbol is . For example, indicates that line AB is parallel to line CD. In the Unicode character set, the "parallel" and "not parallel" signs have codepoints U+2225 (∥) and U+2226 (∦), respectively. In addition, U+22D5 (⋕) represents the relation "equal and parallel to".
The symbol for parallel lines is \parallel, ∥, so we can say that \overleftrightarrow {AB}\parallel\overleftrightarrow {CD} AB ∥ C D in that figure. According to the axioms of Euclidean geometry, a line is not parallel to itself, since it intersects itself infinitely often.
Parallel is a term in geometry and in everyday life that refers to a property of lines or planes. Parallel lines or planes are next to each other, but never touch each other. This means they never intersect at any point. If two lines and are parallel, then we describe this by writing .
In differential geometry, an affine connection can be defined without reference to a metric, and many additional concepts follow: parallel transport, covariant derivatives, geodesics, etc. also do not require the concept of a metric.
Two lines are parallel if they do not meet, no matter how far they are extended. The symbol for parallel is \(||\). In Figure \(\PageIndex{1}\), \(\stackrel{\leftrightarrow}{A B}\) \(||\) \(\stackrel{\leftrightarrow}{C D}\). The arrow marks are used to indicate the lines are parallel.
Get Started. Parallel lines. Two or more lines that lie in the same plane and never intersect each other are known as parallel lines. They are equidistant from each other and have the same slope. Let us learn more about parallel lines, the properties of parallel lines and the angles that are formed when parallel lines are cut by a transversal.