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  2. Completing the square - Wikipedia

    en.wikipedia.org/wiki/Completing_the_square

    Since x 2 represents the area of a square with side of length x, and bx represents the area of a rectangle with sides b and x, the process of completing the square can be viewed as visual manipulation of rectangles. Simple attempts to combine the x 2 and the bx rectangles into a larger square

  3. Surface area - Wikipedia

    en.wikipedia.org/wiki/Surface_area

    This is an accepted version of this page This is the latest accepted revision, reviewed on 25 December 2024. Measure of a two-dimensional surface A sphere of radius r has surface area 4 πr 2. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is ...

  4. Rectangle - Wikipedia

    en.wikipedia.org/wiki/Rectangle

    A database of all known perfect rectangles, perfect squares and related shapes can be found at squaring.net. The lowest number of squares need for a perfect tiling of a rectangle is 9 [19] and the lowest number needed for a perfect tilling a square is 21, found in 1978 by computer search. [20]

  5. Bicone - Wikipedia

    en.wikipedia.org/wiki/Bicone

    In geometry, a bicone or dicone (from Latin: bi-, and Greek: di-, both meaning "two") is the three-dimensional surface of revolution of a rhombus around one of its axes of symmetry.

  6. List of second moments of area - Wikipedia

    en.wikipedia.org/wiki/List_of_second_moments_of_area

    The following is a list of second moments of area of some shapes. The second moment of area, also known as area moment of inertia, is a geometrical property of an area which reflects how its points are distributed with respect to an arbitrary axis. The unit of dimension of the second moment of area is length to fourth power, L 4, and should not ...

  7. Packing problems - Wikipedia

    en.wikipedia.org/wiki/Packing_problems

    Packing different rectangles in a rectangle: The problem of packing multiple rectangles of varying widths and heights in an enclosing rectangle of minimum area (but with no boundaries on the enclosing rectangle's width or height) has an important application in combining images into a single larger image. A web page that loads a single larger ...

  8. Dynamic rectangle - Wikipedia

    en.wikipedia.org/wiki/Dynamic_rectangle

    A dynamic rectangle is a right-angled, four-sided figure (a rectangle) with dynamic symmetry which, in this case, means that aspect ratio (width divided by height) is a distinguished value in dynamic symmetry, a proportioning system and natural design methodology described in Jay Hambidge's books.

  9. Inscribed square problem - Wikipedia

    en.wikipedia.org/wiki/Inscribed_square_problem

    It is tempting to attempt to solve the inscribed square problem by proving that a special class of well-behaved curves always contains an inscribed square, and then to approximate an arbitrary curve by a sequence of well-behaved curves and infer that there still exists an inscribed square as a limit of squares inscribed in the curves of the sequence.