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  2. Official Table of Drops - Wikipedia

    en.wikipedia.org/wiki/Official_Table_of_Drops

    The Official Table of Drops, formerly issued by the British Home Office, is a manual which is used to calculate the appropriate length of rope for long drop hangings. Following a series of failed hangings, including those of John Babbacombe Lee , a committee chaired by Henry Bruce, 1st Baron Aberdare was formed in 1886 to discover and report on ...

  3. Ropelength - Wikipedia

    en.wikipedia.org/wiki/Ropelength

    Can I tie a knot on a foot-long rope that is one inch thick? In terms of ropelength, this asks if there is a knot with ropelength 12 {\displaystyle 12} . The answer is no: an argument using quadrisecants shows that the ropelength of any nontrivial knot has to be at least 15.66 {\displaystyle 15.66} . [ 1 ]

  4. Egyptian geometry - Wikipedia

    en.wikipedia.org/wiki/Egyptian_geometry

    Egyptian units of length are attested from the Early Dynastic Period. Although it dates to the 5th dynasty, the Palermo stone recorded the level of the Nile River during the reign of the Early Dynastic pharaoh Djer , when the height of the Nile was recorded as 6 cubits and 1 palm (about 3.217 m or 10 ft 6.7 in). [ 2 ]

  5. Dynamic rectangle - Wikipedia

    en.wikipedia.org/wiki/Dynamic_rectangle

    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 longer sides of a root-2 rectangle to the length of the root-2 rectangle's diagonal.

  6. Goat grazing problem - Wikipedia

    en.wikipedia.org/wiki/Goat_grazing_problem

    For the exterior problem, the constraint that the rope can not enter the circular area dictates that the grazing area forms an involute. If the goat were instead tethered to a post on the edge of a circular path of pavement that did not obstruct the goat (rather than a fence or a silo), the interior and exterior problem would be complements of ...

  7. 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. If a rectangle has length and width , then: [11] it has area =; it has perimeter = + = (+); each diagonal has length = +; and

  8. Borromean rings - Wikipedia

    en.wikipedia.org/wiki/Borromean_rings

    For a discrete analogue of ropelength, the shortest representation using only edges of the integer lattice, the minimum length for the Borromean rings is exactly . This is the length of a representation using three 2 × 4 {\displaystyle 2\times 4} integer rectangles, inscribed in Jessen's icosahedron in the same way that the representation by ...

  9. Rope - Wikipedia

    en.wikipedia.org/wiki/Rope

    From the Middle Ages until the 18th century, in Europe ropes were constructed in ropewalks, very long buildings where strands the full length of the rope were spread out and then laid up or twisted together to form the rope. The cable length was thus set by the length of the available rope walk. This is related to the unit of length termed ...