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  2. Internal and external angles - Wikipedia

    en.wikipedia.org/wiki/Internal_and_external_angles

    The interior angle concept can be extended in a consistent way to crossed polygons such as star polygons by using the concept of directed angles.In general, the interior angle sum in degrees of any closed polygon, including crossed (self-intersecting) ones, is then given by 180(n–2k)°, where n is the number of vertices, and the strictly positive integer k is the number of total (360 ...

  3. Trapezium Cluster - Wikipedia

    en.wikipedia.org/wiki/Trapezium_Cluster

    The Trapezium or Orion Trapezium Cluster, also known by its Bayer designation of Theta 1 Orionis (θ 1 Orionis), is a tight open cluster of stars in the heart of the Orion Nebula, in the constellation of Orion. It was discovered by Galileo Galilei. On 4 February 1617 he sketched three of the stars (A, C and D), but missed the surrounding ...

  4. Prism (geometry) - Wikipedia

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

    In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

  5. Trapezoid - Wikipedia

    en.wikipedia.org/wiki/Trapezoid

    In geometry, a trapezoid (/ ˈ t r æ p ə z ɔɪ d /) in North American English, or trapezium (/ t r ə ˈ p iː z i ə m /) in British English, [1] [2] is a quadrilateral that has at least one pair of parallel sides. [3] The parallel sides are called the bases of the trapezoid.

  6. Isosceles trapezoid - Wikipedia

    en.wikipedia.org/wiki/Isosceles_trapezoid

    Any non-self-crossing quadrilateral with exactly one axis of symmetry must be either an isosceles trapezoid or a kite. [5] However, if crossings are allowed, the set of symmetric quadrilaterals must be expanded to include also the crossed isosceles trapezoids, crossed quadrilaterals in which the crossed sides are of equal length and the other sides are parallel, and the antiparallelograms ...

  7. Trapezium - Wikipedia

    en.wikipedia.org/wiki/Trapezium

    Trapezium, plural trapezia, may refer to: Trapezium, in British and other forms of English, a trapezoid, a quadrilateral that has exactly one pair of parallel sides; Trapezium, in North American English, an irregular quadrilateral with no sides parallel; Trapezium (bone), a bone in the hand; Trapezium Cluster, a group of stars in the Orion Nebula

  8. Minimum deviation - Wikipedia

    en.wikipedia.org/wiki/Minimum_deviation

    In a prism, the angle of deviation (δ) decreases with increase in the angle of incidence (i) up to a particular angle.This angle of incidence where the angle of deviation in a prism is minimum is called the minimum deviation position of the prism and that very deviation angle is known as the minimum angle of deviation (denoted by δ min, D λ, or D m).

  9. On the Equilibrium of Planes - Wikipedia

    en.wikipedia.org/wiki/On_the_Equilibrium_of_Planes

    Archimedes then proceeds to locate the centre of gravity of the parallelogram and the triangle, ending book one with a proof on the centre of gravity of the trapezium. On the Equilibrium of Planes II shares the same subject matter as the first book but was most likely written at a later date. It contains ten propositions regarding the centre of ...