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Nesoddtangen, Norway, a triple tautology, consisting of three parts, nes, odd and tangen, all being synonyms signifying a small cape or promontory. Nusa Tenggara Timur, Indonesia – (Eastern Southeastern Islands – Indonesian) Nyanza Lac, Burundi – Nyanza and lac are the Bantu and French words for "lake" respectively. This is a city, not a ...
The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object X {\displaystyle X} in n {\displaystyle n} - dimensional space is the intersection of all hyperplanes that divide X {\displaystyle X} into two parts of equal moment about the hyperplane.
The minor sector is shaded in green while the major sector is shaded white. A circular sector, also known as circle sector or disk sector or simply a sector (symbol: ⌔), is the portion of a disk (a closed region bounded by a circle) enclosed by two radii and an arc, with the smaller area being known as the minor sector and the larger being the major sector. [1]
f is symmetric in its last two arguments; i.e., f(a,b,c)= f(a,c,b); thus position of a centre in a mirror-image triangle is the mirror-image of its position in the original triangle. [ 1 ] This strict definition excludes pairs of bicentric points such as the Brocard points (which are interchanged by a mirror-image reflection).
An annulus Illustration of Mamikon's visual calculus method showing that the areas of two annuli with the same chord length are the same regardless of inner and outer radii. [ 1 ] In mathematics , an annulus ( pl. : annuli or annuluses ) is the region between two concentric circles.
A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. [1] The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with ...
This is an application of Cavalieri's principle: volumes with equal-sized corresponding cross-sections are equal. Indeed, the area of the cross-section is the same as that of the corresponding cross-section of a sphere of radius h / 2 {\displaystyle h/2} , which has volume 4 3 π ( h 2 ) 3 = π h 3 6 . {\displaystyle {\frac {4}{3}}\pi \left ...
A face with a point hole is considered a monogonal hole, adding one vertex, and one edge, and can attached to a degenerate monogonal hosohedron hole, like a cylinder hole with zero radius. A face with a degenerate digon hole adds 2 vertices and 2 coinciding edges, where the two edges attach to two coplanar faces, as a dihedron hole.