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  2. Aspect ratio - Wikipedia

    en.wikipedia.org/wiki/Aspect_ratio

    For example, the aspect ratio of a rectangle is the ratio of its longer side to its shorter side—the ratio of width to height, [1] [2] when the rectangle is oriented as a "landscape". The aspect ratio is most often expressed as two integer numbers separated by a colon (x:y), less commonly as a simple or decimal fraction. The values x and y do ...

  3. Method of exhaustion - Wikipedia

    en.wikipedia.org/wiki/Method_of_exhaustion

    The area bounded by the intersection of a line and a parabola is 4/3 that of the triangle having the same base and height (the quadrature of the parabola); The area of an ellipse is proportional to a rectangle having sides equal to its major and minor axes;

  4. Rectangle - Wikipedia

    en.wikipedia.org/wiki/Rectangle

    In Euclidean plane geometry, a rectangle is a rectilinear convex polygon or a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°); or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

  5. Solid angle - Wikipedia

    en.wikipedia.org/wiki/Solid_angle

    The solid angle of an object that is very far away is roughly proportional to the ratio of area to squared distance. Here "area" means the area of the object when projected along the viewing direction. Any area on a sphere which is equal in area to the square of its radius, when observed from its center, subtends precisely one steradian.

  6. Regular polygon - Wikipedia

    en.wikipedia.org/wiki/Regular_polygon

    Graphs of side, s; apothem, a; and area, A of regular polygons of n sides and circumradius 1, with the base, b of a rectangle with the same area. The green line shows the case n = 6 . The circumradius R from the center of a regular polygon to one of the vertices is related to the side length s or to the apothem a by

  7. Dynamic rectangle - Wikipedia

    en.wikipedia.org/wiki/Dynamic_rectangle

    A root rectangle is a rectangle in which the ratio of the longer side to the shorter is the square root of an integer, such as √ 2, √ 3, etc. [2] The root-2 rectangle (ACDK in Fig. 10) is constructed by extending two opposite sides of a square to the length of the square's diagonal. The root-3 rectangle is constructed by extending the two ...

  8. Surface-area-to-volume ratio - Wikipedia

    en.wikipedia.org/wiki/Surface-area-to-volume_ratio

    Graphs of surface area, A against volume, V of the Platonic solids and a sphere, showing that the surface area decreases for rounder shapes, and the surface-area-to-volume ratio decreases with increasing volume. Their intercepts with the dashed lines show that when the volume increases 8 (2³) times, the surface area increases 4 (2²) times.

  9. Aspect ratio (image) - Wikipedia

    en.wikipedia.org/wiki/Aspect_ratio_(image)

    HDTV ratio used by Silicon Graphics computers in the 1990s, with the resolution being specified as 1920×1024. 1.9:1 SMPTE/DCI digital cinema basic resolution container aspect ratio. Exact ratio is 256:135 but it is commonly referred to as 1.9:1 [32] [33] or 1.90:1 [34] [35] and sometimes 1.896:1. [36] Used by Diao Yinan's The Wild Goose Lake ...