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  2. Rectangle - Wikipedia

    en.wikipedia.org/wiki/Rectangle

    The formula for the perimeter of a rectangle The area of a rectangle is the product of the length and width. ... A saddle rectangle has 4 nonplanar vertices, ...

  3. List of formulas in elementary geometry - Wikipedia

    en.wikipedia.org/wiki/List_of_formulas_in...

    Rectangle (+) is length, is breadth Circle: or : where is the ... This is a list of volume formulas of basic shapes: [4]: 405–406 ...

  4. Rectangular function - Wikipedia

    en.wikipedia.org/wiki/Rectangular_function

    The rectangular function (also known as the rectangle function, rect function, Pi function, Heaviside Pi function, [1] gate function, unit pulse, or the normalized boxcar function) is defined as [2]

  5. List of second moments of area - Wikipedia

    en.wikipedia.org/wiki/List_of_second_moments_of_area

    A filled rectangular area as above but with respect to an axis collinear with the base = = [4] This is a result from the parallel axis theorem: A hollow rectangle with an inner rectangle whose width is b 1 and whose height is h 1

  6. Area formulas - Wikipedia

    en.wikipedia.org/wiki/Area

    That is, the area of the rectangle is the length multiplied by the width. As a special case, as l = w in the case of a square, the area of a square with side length s is given by the formula: [1] [2] A = s 2 (square). The formula for the area of a rectangle follows directly from the basic properties of area, and is sometimes taken as a ...

  7. Torsion constant - Wikipedia

    en.wikipedia.org/wiki/Torsion_constant

    In 1820, the French engineer A. Duleau derived analytically that the torsion constant of a beam is identical to the second moment of area normal to the section J zz, which has an exact analytic equation, by assuming that a plane section before twisting remains planar after twisting, and a diameter remains a straight line.

  8. Second moment of area - Wikipedia

    en.wikipedia.org/wiki/Second_moment_of_area

    An arbitrary shape. ρ is the distance to the element dA, with projections x and y on the x and y axes.. The second moment of area for an arbitrary shape R with respect to an arbitrary axis ′ (′ axis is not drawn in the adjacent image; is an axis coplanar with x and y axes and is perpendicular to the line segment) is defined as ′ = where

  9. Shoelace formula - Wikipedia

    en.wikipedia.org/wiki/Shoelace_formula

    Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]