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Line art drawing of parallel lines and curves. In geometry, parallel lines are coplanar infinite straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet. Parallel curves are curves that do not touch each other or intersect and keep a fixed minimum distance.
propositional logic, Boolean algebra, first-order logic. ⊥ {\displaystyle \bot } denotes a proposition that is always false. The symbol ⊥ may also refer to perpendicular lines. The proposition. ⊥ ∧ P {\displaystyle \bot \wedge P} is always false since at least one of the two is unconditionally false. ∀.
The parallel operator (pronounced "parallel", [1] following the parallel lines notation from geometry; [2][3] also known as reduced sum, parallel sum or parallel addition) is a mathematical function which is used as a shorthand in electrical engineering, [4][5][6][nb 1] but is also used in kinetics, fluid mechanics and financial mathematics. [7 ...
Skew lines. Rectangular parallelepiped. The line through segment AD and the line through segment B 1 B are skew lines because they are not in the same plane. In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of lines through opposite edges of ...
Used in the context of a definite integral with variable x. A vertical bar can be used to separate variables from fixed parameters in a function, for example. f ( x | μ , σ ) {\displaystyle f (x|\mu ,\sigma )} , or in the notation for elliptic integrals. The double vertical bar, , is also employed in mathematics.
Antiparallel lines. In geometry, two lines and are antiparallel with respect to a given line if they each make congruent angles with in opposite senses. More generally, lines and are antiparallel with respect to another pair of lines and if they are antiparallel with respect to the angle bisector of and. In any cyclic quadrilateral, any two ...
Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...
Parallel lines are mapped on parallel lines, or on a pair of points (if they are parallel to ). The ratio of the length of two line segments on a line stays unchanged. As a special case, midpoints are mapped on midpoints. The length of a line segment parallel to the projection plane remains unchanged. The length of any line segment is shortened ...