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  2. List of formulae involving π - Wikipedia

    en.wikipedia.org/wiki/List_of_formulae_involving_π

    where C is the circumference of a circle, d is the diameter, and r is the radius.More generally, = where L and w are, respectively, the perimeter and the width of any curve of constant width.

  3. Blade (geometry) - Wikipedia

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

    A 1-blade is a vector. Every vector is simple. A 2-blade is a simple bivector. Sums of 2-blades are also bivectors, but not always simple. A 2-blade may be expressed as the wedge product of two vectors a and b: . A 3-blade is a simple trivector, that is, it may be expressed as the wedge product of three vectors a, b, and c:

  4. Leibniz formula for π - Wikipedia

    en.wikipedia.org/wiki/Leibniz_formula_for_π

    In mathematics, the Leibniz formula for π, named after Gottfried Wilhelm Leibniz, states that = + + = = +,. an alternating series.. It is sometimes called the Madhava–Leibniz series as it was first discovered by the Indian mathematician Madhava of Sangamagrama or his followers in the 14th–15th century (see Madhava series), [1] and was later independently rediscovered by James Gregory in ...

  5. Angle trisection - Wikipedia

    en.wikipedia.org/wiki/Angle_trisection

    Then by the triple-angle formula, cos ⁠ π / 3 ⁠ = 4x 3 − 3x and so 4x 3 − 3x = ⁠ 1 / 2 ⁠. Thus 8x 3 − 6x − 1 = 0. Define p(t) to be the polynomial p(t) = 8t 3 − 6t − 1. Since x = cos 20° is a root of p(t), the minimal polynomial for cos 20° is a factor of p(t). Because p(t) has degree 3, if it is reducible over by Q then ...

  6. Rotor solidity - Wikipedia

    en.wikipedia.org/wiki/Rotor_solidity

    Rotor solidity is a dimensionless quantity used in design and analysis of rotorcraft, propellers and wind turbines.Rotor solidity is a function of the aspect ratio and number of blades in the rotor and is widely used as a parameter for ensuring geometric similarity in rotorcraft experiments.

  7. Roberts warns against ignoring Supreme Court rulings as ...

    www.aol.com/roberts-warns-against-ignoring...

    Supreme Court Chief Justice John Roberts slammed what he described as “dangerous” talk by some officials about ignoring federal court rulings, using an annual report weeks before President ...

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