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  2. Parallelism (grammar) - Wikipedia

    en.wikipedia.org/wiki/Parallelism_(grammar)

    In grammar, parallelism, also known as parallel structure or parallel construction, is a balance within one or more sentences of similar phrases or clauses that have the same grammatical structure. [1] The application of parallelism affects readability and may make texts easier to process. [2]

  3. Perpendicular - Wikipedia

    en.wikipedia.org/wiki/Perpendicular

    The segment AB is perpendicular to the segment CD because the two angles it creates (indicated in orange and blue) are each 90 degrees. The segment AB can be called the perpendicular from A to the segment CD, using "perpendicular" as a noun. The point B is called the foot of the perpendicular from A to segment CD, or simply, the foot of A on CD ...

  4. Parallel syntax - Wikipedia

    en.wikipedia.org/wiki/Parallel_syntax

    The repeated sentences or clauses provide emphasis to a central theme or idea the author is trying to convey. [1] Parallelism is the mark of a mature language speaker. [2] In language, syntax is the structure of a sentence, thus parallel syntax can also be called parallel sentence structure. This rhetorical tool improves the flow of a sentence ...

  5. Distance between two parallel lines - Wikipedia

    en.wikipedia.org/wiki/Distance_between_two...

    the distance between the two lines is the distance between the two intersection points of these lines with the perpendicular line y = − x / m . {\displaystyle y=-x/m\,.} This distance can be found by first solving the linear systems

  6. Distance from a point to a line - Wikipedia

    en.wikipedia.org/wiki/Distance_from_a_point_to_a...

    The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line. The formula for calculating it can be derived and expressed in several ways.

  7. Concurrent lines - Wikipedia

    en.wikipedia.org/wiki/Concurrent_lines

    The three perpendicular bisectors meet at the circumcenter. Other sets of lines associated with a triangle are concurrent as well. For example: Any median (which is necessarily a bisector of the triangle's area) is concurrent with two other area bisectors each of which is parallel to a side. [1]

  8. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    Special examples of spaces studied in complex geometry include Riemann surfaces, and Calabi–Yau manifolds, and these spaces find uses in string theory. In particular, worldsheets of strings are modelled by Riemann surfaces, and superstring theory predicts that the extra 6 dimensions of 10 dimensional spacetime may be modelled by Calabi–Yau ...

  9. Orthogonality - Wikipedia

    en.wikipedia.org/wiki/Orthogonality

    The line segments AB and CD are perpendicular to each other. In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity.Although many authors use the two terms perpendicular and orthogonal interchangeably, the term perpendicular is more specifically used for lines and planes that intersect to form a right angle, whereas orthogonal is used in generalizations ...

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