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  2. Brahmagupta's formula - Wikipedia

    en.wikipedia.org/wiki/Brahmagupta's_formula

    This formula generalizes Heron's formula for the area of a triangle. A triangle may be regarded as a quadrilateral with one side of length zero. From this perspective, as d approaches zero, a cyclic quadrilateral converges into a cyclic triangle (all triangles are cyclic), and Brahmagupta's formula simplifies to Heron's formula.

  3. 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.

  4. Heron's formula - Wikipedia

    en.wikipedia.org/wiki/Heron's_formula

    Heron's formula is also a special case of the formula for the area of a trapezoid or trapezium based only on its sides. Heron's formula is obtained by setting the smaller parallel side to zero. Expressing Heron's formula with a Cayley–Menger determinant in terms of the squares of the distances between the three given vertices,

  5. The best artificial Christmas trees of 2024, tested by AOL

    www.aol.com/lifestyle/best-artificial-christmas...

    Here are the key factors you’ll want to look at while shopping to find the right fit for your holiday decor: Size and shape The first step in choosing an artificial Christmas tree is to find the ...

  6. Trapezoid - Wikipedia

    en.wikipedia.org/wiki/Trapezoid

    This yields as a special case the well-known formula for the area of a triangle, by considering a triangle as a degenerate trapezoid in which one of the parallel sides has shrunk to a point. The 7th-century Indian mathematician Bhāskara I derived the following formula for the area of a trapezoid with consecutive sides a, c, b, d:

  7. Husband Who 'Leapt' onto Polar Bear to Protect Wife from ...

    www.aol.com/husband-leapt-onto-polar-bear...

    A man has been seriously injured after trying to prevent a polar bear from attacking his wife in northern Ontario, Canada. On Tuesday, Dec. 3, before 5 a.m. local time, an adult male and an adult ...

  8. Pregnant Kylie Kelce Reveals NSFW Name She Almost Used for ...

    www.aol.com/pregnant-kylie-kelce-reveals-nsfw...

    Kelce's already made a big impression on the Wave audience with fan-favorite cameos on New Heights, where she gets in on the fun to riff along, poke fun at Jason or talk about their daughters ...

  9. Tree volume measurement - Wikipedia

    en.wikipedia.org/wiki/Tree_volume_measurement

    The formula for the volume of a frustum of a paraboloid [23] [24] is: V = (π h/2)(r 1 2 + r 2 2), where h = height of the frustum, r 1 is the radius of the base of the frustum, and r 2 is the radius of the top of the frustum. This allows us to use a paraboloid frustum where that form appears more appropriate than a cone.