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  2. Trapezoid - Wikipedia

    en.wikipedia.org/wiki/Trapezoid

    where K is the area of the quadrilateral. [16]: Thm.8 Thm.8 The midpoints of two opposite sides of the trapezoid and the intersection of the diagonals are collinear . [ 16 ] :

  3. Egyptian geometry - Wikipedia

    en.wikipedia.org/wiki/Egyptian_geometry

    Problem 50 of the RMP finds the area of a round field of diameter 9 khet. [10] This is solved by using the approximation that circular field of diameter 9 has the same area as a square of side 8. Problem 52 finds the area of a trapezium with (apparently) equally slanting sides.

  4. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    It is a direct consequence of the area inequality [38]: p.114 where K is the area of a convex quadrilateral with perimeter L. Equality holds if and only if the quadrilateral is a square. The dual theorem states that of all quadrilaterals with a given area, the square has the shortest perimeter.

  5. Tangential trapezoid - Wikipedia

    en.wikipedia.org/wiki/Tangential_trapezoid

    The formula for the area of a trapezoid can be simplified using Pitot's theorem to get a formula for the area of a tangential trapezoid. If the bases have lengths a, b, and any one of the other two sides has length c, then the area K is given by the formula [2] (This formula can be used only in cases where the bases are parallel.)

  6. Trapezoid graph - Wikipedia

    en.wikipedia.org/wiki/Trapezoid_graph

    Circle trapezoid graphs are a class of graphs proposed by Felsner et al. in 1993. They are a superclass of the trapezoid graph class, and also contain circle graphs and circular-arc graphs. A circle trapezoid is the region in a circle that lies between two non-crossing chords and a circle trapezoid graph is the intersection graph of families of ...

  7. Trapezoidal rule - Wikipedia

    en.wikipedia.org/wiki/Trapezoidal_rule

    In calculus, the trapezoidal rule (also known as the trapezoid rule or trapezium rule) [a] is a technique for numerical integration, i.e., approximating the definite integral: (). The trapezoidal rule works by approximating the region under the graph of the function f ( x ) {\displaystyle f(x)} as a trapezoid and calculating its area.

  8. Parallelogram - Wikipedia

    en.wikipedia.org/wiki/Parallelogram

    The area of the parallelogram is the area of the blue region, which is the interior of the parallelogram. The base × height area formula can also be derived using the figure to the right. The area K of the parallelogram to the right (the blue area) is the total area of the rectangle less the area of the two orange triangles. The area of the ...

  9. 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