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PR is the diameter of a circle centered on O; its radius AO is the arithmetic mean of a and b. Using the geometric mean theorem, triangle PGR's altitude GQ is the geometric mean. For any ratio a:b, AO ≥ GQ. A semicircle can be used to construct the arithmetic and geometric means of two lengths using straight-edge and compass.
The basic shape of the modern tiara is a semi-circle, usually made of silver, gold or platinum and richly decorated with precious stones, pearls or cameos. Tiaras were extremely popular during the late 19th century and were worn at events where the dress code was white tie .
A stadium is a two-dimensional geometric shape constructed of a rectangle with semicircles at a pair of opposite sides. [1] The same shape is known also as a pill shape, [2] discorectangle, [3] obround, [4] [5] or sausage body. [6] The shape is based on a stadium, a place used for athletics and horse racing tracks.
The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane.
For convenience, sometimes another half-circle from 180 to 360 degrees may be graduated in another line on the limb. [ 1 ] The form was introduced in Philippe Danfrie 's Déclaration de l’usage du graphomètre (Paris, 1597) [ 2 ] [ 3 ] and the term graphometer was popular with French geodesists .
The halo hat is said to have first come into fashion the late 1880s, when it was usually known as an aureole hat (a synonym for halo), and this was a name that continued to be used to describe the circular or semi-circular shape into the 1930s. [2] The Milwaukee Sentinel used the term to describe a new hat style in 1937. [5]
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For crossing wires that are insulated from one another, a small semi-circle symbol is commonly used to show one wire "jumping over" the other wire [3] [7] [8] (similar to how jumper wires are used). A common, hybrid style of drawing combines the T-junction crossovers with "dot" connections and the wire "jump" semi-circle symbols for insulated ...
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