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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.
For example, in a polyhedron (3-dimensional polytope), a face is a facet, an edge is a ridge, and a vertex is a peak. Vertex figure: not itself an element of a polytope, but a diagram showing how the elements meet.
A circle is divided into 360 degrees; subdivisions of the degree include the minute (1 ⁄ 60 of one degree) and the second (1 ⁄ 3600 of one degree). Degrees are commonly used to divide the roughly spherical shape of the Earth for geographic and cartographic purposes, e.g. when reporting latitudes and longitudes. [1] degree day
A solid figure is the region of 3D space bounded by a two-dimensional closed surface; for example, a solid ball consists of a sphere and its interior. Solid geometry deals with the measurements of volumes of various solids, including pyramids , prisms (and other polyhedrons ), cubes , cylinders , cones (and truncated cones ).
Evenly spaced circles on the targets used in target archery [10] or similar sports provide another familiar example of concentric circles. Coaxial cable is a type of electrical cable in which the combined neutral and earth core completely surrounds the live core(s) in system of concentric cylindrical shells.
A survey of a city, for example, might be conducted this way. Topographic view of Earth relative to Earth's center (instead of to mean sea level , as in common topographic maps) By the late 1600s, serious effort was devoted to modeling the Earth as an ellipsoid, beginning with French astronomer Jean Picard 's measurement of a degree of arc ...
Some Westminster-system countries outside the UK, such as India, New Zealand and Australia, have confrontational benches, but the end segment is curved to create a partial hemicycle; while other countries, such as the People's Republic of China, have a single set of benches facing towards a stage area (which reflects the one-party system in operation there).
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.
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