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  2. Brahmagupta's formula - Wikipedia

    en.wikipedia.org/wiki/Brahmagupta's_formula

    Heron's formula for the area of a triangle is the special case obtained by taking d = 0. The relationship between the general and extended form of Brahmagupta's formula is similar to how the law of cosines extends the Pythagorean theorem .

  3. Perimeter - Wikipedia

    en.wikipedia.org/wiki/Perimeter

    The solution to the quadrilateral isoperimetric problem is the square, and the solution to the triangle problem is the equilateral triangle. In general, the polygon with n sides having the largest area and a given perimeter is the regular polygon , which is closer to being a circle than is any irregular polygon with the same number of sides.

  4. National Council of Educational Research and Training

    en.wikipedia.org/wiki/National_Council_of...

    The textbooks are in color-print and are among the least expensive books in Indian book stores. [11] Textbooks created by private publishers are priced higher than those of NCERT. [ 11 ] According to a government policy decision in 2017, the NCERT will have the exclusive task of publishing central textbooks from 2018, and the role of CBSE will ...

  5. Koch snowflake - Wikipedia

    en.wikipedia.org/wiki/Koch_snowflake

    The Koch snowflake (also known as the Koch curve, Koch star, or Koch island [1] [2]) is a fractal curve and one of the earliest fractals to have been described. It is based on the Koch curve, which appeared in a 1904 paper titled "On a Continuous Curve Without Tangents, Constructible from Elementary Geometry" [3] by the Swedish mathematician Helge von Koch.

  6. AM–GM inequality - Wikipedia

    en.wikipedia.org/wiki/AM–GM_inequality

    In two dimensions, 2x 1 + 2x 2 is the perimeter of a rectangle with sides of length x 1 and x 2. Similarly, 4 √ x 1 x 2 is the perimeter of a square with the same area, x 1 x 2, as that rectangle. Thus for n = 2 the AM–GM inequality states that a rectangle of a given area has the smallest perimeter if that rectangle is also a square.

  7. Circumference - Wikipedia

    en.wikipedia.org/wiki/Circumference

    In geometry, the circumference (from Latin circumferens, meaning "carrying around") is the perimeter of a circle or ellipse. The circumference is the arc length of the circle, as if it were opened up and straightened out to a line segment. [1] More generally, the perimeter is the curve length around any closed figure.

  8. Area - Wikipedia

    en.wikipedia.org/wiki/Area

    The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area can be understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the amount of paint ...

  9. Mahāvīra (mathematician) - Wikipedia

    en.wikipedia.org/wiki/Mahāvīra_(mathematician)

    Mahāvīra (or Mahaviracharya, "Mahavira the Teacher") was a 9th-century Indian Jain mathematician possibly born in Mysore, in India. [1] [2] [3] He authored Gaṇita-sāra-saṅgraha (Ganita Sara Sangraha) or the Compendium on the gist of Mathematics in 850 CE. [4]