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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.
Semicircular arch (Pianella bridge, Corse-du-Sud, 15th century) In architecture, a semicircular arch is an arch with an intrados (inner surface) shaped like a semicircle. [1] [2] This type of arch was adopted and very widely used by the Romans, thus becoming permanently associated with Roman architecture.
Regular polygons; Description Figure Second moment of area Comment A filled regular (equiliteral) triangle with a side length of a = = [6] The result is valid for both a horizontal and a vertical axis through the centroid, and therefore is also valid for an axis with arbitrary direction that passes through the origin.
where c ∈ ℝ n is the center of the circle (irrelevant since it disappears in the derivatives), a,b ∈ ℝ n are perpendicular vectors of length ρ (that is, a · a = b · b = ρ 2 and a · b = 0), and h : ℝ → ℝ is an arbitrary function which is twice differentiable at t. The relevant derivatives of g work out to be
Solid semi-ellipsoid of revolution around z-axis: a = the radius of the base circle h = the height of the semi-ellipsoid from the base cicle's center to the edge ...
Semi-domes are a common feature of apses in Ancient Roman and traditional church architecture, and in mosques and iwans in Islamic architecture.. A semi-dome, or the whole apse, may also be called a conch after the scallop shell often carved as decoration of the semi-dome (all shells were conches in Ancient Greek), though this is usually used for subsidiary semi-domes, rather than the one over ...
Star of David (example) Heptagram – star polygon with 7 sides; Octagram – star polygon with 8 sides Star of Lakshmi (example) Enneagram - star polygon with 9 sides; Decagram - star polygon with 10 sides; Hendecagram - star polygon with 11 sides; Dodecagram - star polygon with 12 sides; Apeirogon - generalized polygon with countably infinite ...
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).