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  2. Angular distance - Wikipedia

    en.wikipedia.org/wiki/Angular_distance

    Angular distance or angular separation is the measure of the angle between the orientation of two straight lines, rays, or vectors in three-dimensional space, or the central angle subtended by the radii through two points on a sphere.

  3. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    An angle equal to ⁠ 1 / 4 ⁠ turn (90° or ⁠ π / 2 ⁠ radians) is called a right angle. Two lines that form a right angle are said to be normal, orthogonal, or perpendicular. [7] An angle larger than a right angle and smaller than a straight angle (between 90° and 180°) is called an obtuse angle [6] ("obtuse" meaning "blunt").

  4. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    In modern terms, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. [57] The size of an angle is formalized as an angular measure. In Euclidean geometry, angles are used to study polygons and triangles, as well as forming an object of study in their own right. [43]

  5. Buffon's needle problem - Wikipedia

    en.wikipedia.org/wiki/Buffon's_needle_problem

    Here, θ = 0 represents a needle that is parallel to the marked lines, and θ = ⁠ π / 2 ⁠ radians represents a needle that is perpendicular to the marked lines. Any angle within this range is assumed an equally likely outcome. The two random variables, x and θ, are independent, [4] so the joint probability density function is the product

  6. Transversal (geometry) - Wikipedia

    en.wikipedia.org/wiki/Transversal_(geometry)

    Two lines are parallel if and only if the two angles of any pair of consecutive interior angles of any transversal are supplementary (sum to 180°). Proposition 1.28 of Euclid's Elements , a theorem of absolute geometry (hence valid in both hyperbolic and Euclidean Geometry ), proves that if the angles of a pair of consecutive interior angles ...

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  8. Angles between flats - Wikipedia

    en.wikipedia.org/wiki/Angles_between_flats

    Non-trivial angles between the subspaces and and the corresponding non-trivial angles between the subspaces and sum up to /. [ 6 ] [ 7 ] The angles between subspaces satisfy the triangle inequality in terms of majorization and thus can be used to define a distance on the set of all subspaces turning the set into a metric space .

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