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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.
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
Usage. The ⋕ symbol is used in geometry and vector algebra to show that two lines or vectors are both parallel and have the same direction or magnitude. It emphasizes the unique condition where mere parallelism isn't enough; the two entities must also be congruent in magnitude or direction. Examples.
Properties. convex. A parallelogram is a polygon with four sides (a quadrilateral ). It has two pairs of parallel sides ( line segments which never meet if the lines were allowed to extend beyond their end points). The opposite sides of a parallelogram have the same length (they are equally long).
Usage. In geometry, the parallel symbol is used to denote two lines that are parallel to each other. Typically the parallel symbol is used in an expression like this: AB ∥ C D. In plain language, this means that the line AB is parallel to the line C D. Read more… Related. Links.
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