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For example, the perimeter of a rectangle of width 0.001 and length 1000 is slightly above 2000, while the perimeter of a rectangle of width 0.5 and length 2 is 5. Both areas are equal to 1. Proclus (5th century) reported that Greek peasants "fairly" parted fields relying on their perimeters. [ 2 ]
The "See also" section should not include red links, links to disambiguation pages (unless used in a disambiguation page for further disambiguation), or external links (including links to pages within Wikimedia sister projects). As a general rule, the "See also" section should not repeat links that appear in the article's body. [9]
Pages 1 and 16, for example, are printed on the same side of the physical sheet of paper, combining recto and verso sides of different leaves. The number of pages in a book using this binding technique must thus be a multiple of four, and the number of leaves must be a multiple of two, but unused pages are typically left unnumbered and uncounted.
In three-dimensional geometry, the girth of a geometric object, in a certain direction, is the perimeter of its parallel projection in that direction. [1] [2] For instance, the girth of a unit cube in a direction parallel to one of the three coordinate axes is four: it projects to a unit square, which has four as its perimeter.
An example is the function that relates each real number x to its square x 2. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"). In this example, if the input is −3, then the output is 9, and we may write f(−3) = 9. The input variable(s) are sometimes referred to as the argument(s) of the function.
By Barbier's theorem, the perimeter of this projection is π times the width, regardless of the direction of projection. It follows that every surface of constant width is also a surface of constant girth , where the girth of a shape is the perimeter of one of its parallel projections.
For example, if shape has an area of 5 square yards and a perimeter of 5 yards, then it has an area of 45 square feet (4.2 m 2) and a perimeter of 15 feet (since 3 feet = 1 yard and hence 9 square feet = 1 square yard). Moreover, contrary to what the name implies, changing the size while leaving the shape intact changes an "equable shape" into ...
Similarly, a comparison can be made between the perimeter of the shape and that of its convex hull, [3] its bounding circle, [1] or a circle having the same area. [ 1 ] Other tests involve determining how much area overlaps with a circle of the same area [ 2 ] or a reflection of the shape itself.
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