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  2. 1 + 2 + 3 + 4 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_+_2_+_3_+_4_+_...

    Dividing both sides by −3, one gets c = − + 1 / 12. Generally speaking, it is incorrect to manipulate infinite series as if they were finite sums. For example, if zeroes are inserted into arbitrary positions of a divergent series, it is possible to arrive at results that are not self-consistent, let alone consistent with other methods.

  3. Imperial units - Wikipedia

    en.wikipedia.org/wiki/Imperial_units

    The former Weights and Measures office in Seven Sisters, London (590 Seven Sisters Road). The imperial system of units, imperial system or imperial units (also known as British Imperial [1] or Exchequer Standards of 1826) is the system of units first defined in the British Weights and Measures Act 1824 and continued to be developed through a series of Weights and Measures Acts and amendments.

  4. Rectangle - Wikipedia

    en.wikipedia.org/wiki/Rectangle

    The Japanese theorem for cyclic quadrilaterals [12] states that the incentres of the four triangles determined by the vertices of a cyclic quadrilateral taken three at a time form a rectangle. The British flag theorem states that with vertices denoted A , B , C , and D , for any point P on the same plane of a rectangle: [ 13 ]

  5. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    [12] [6] The 2020 Mathematics Subject Classification contains no less than sixty-three first-level areas. [13] Some of these areas correspond to the older division, as is true regarding number theory (the modern name for higher arithmetic) and geometry. Several other first-level areas have "geometry" in their names or are otherwise commonly ...