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## perpendicular bisector

The perpendicular bisector of a line segment *AB* is the straight line perpendicular to *AB* through the midpoint of *AB*.

## kite Quick reference

### The Concise Oxford Dictionary of Mathematics (5 ed.)

...A quadrilateral that has two adjacent sides of equal length and the other two sides of equal length. If the kite ABCD has AB = AD and CB = CD , the diagonals AC and BD are perpendicular, and AC bisects BD...

## circumcentre Quick reference

### The Concise Oxford Dictionary of Mathematics (5 ed.)

...The circumcentre of a triangle is the centre of the circumcircle of the triangle. It is the point O , shown in the figure, at which the perpendicular bisectors of the sides of the triangle are...

## Thiessen polygon Quick reference

### A Dictionary of Geography (5 ed.)

...polygon A subdivision of a drainage basin, containing a rain gauge. Polygons are constructed by first siting the rain gauges, plotting them on a base map, and connecting the sites by straight lines. The lines are bisected with perpendiculars, which meet to form the polygons. The areas of the polygons are calculated and expressed as fractions of the total area. Each fraction is multiplied by the precipitation recorded by its rain gauge. The sum of these calculations represents total precipitation over the catchment area. For an account, see Yoo et al....

## equidistant Quick reference

### The Concise Oxford Dictionary of Mathematics (5 ed.)

...Being the same distance from one or more points or objects. The perpendicular bisector of the line segment AB is the set of points equidistant from A and B . The set of points equidistant from a fixed point is a circle in two dimensions and a sphere in three dimensions. The set of points equidistant from a line segment is formed by a pair of parallel line segments with two...

## Wigner–Seitz cell Quick reference

### A Dictionary of Physics (8 ed.)

...Wigner–Seitz cell A unit cell of a crystal lattice that is constructed by starting from some lattice site and drawing lines to all the neighbouring lattice sites. The region enclosed by the perpendicular bisecting planes of these lines is the Wigner–Seitz cell of the crystal. The concept of the Wigner–Seitz cell was put forward in 1933 by Eugene Wigner and Frederick Seitz ( 1911–2008 ). The same construction in reciprocal space gives the first Brillouin zone , a concept that is very useful in the theory of energy bands . Polyhedra constructed...

## Nautical Astronomy and Celestial Navigation Reference library

### The Oxford Encyclopedia of Maritime History

...Wherever the observer stands, the ground is a plane perpendicular to the observer’s body, a plane that extends outward infinitely. The “poles” of the observer are the zenith, the point on the celestial sphere directly overhead, and the nadir, the point directly below the observer, also in a line perpendicular to the horizon plane. A celestial sphere may feature a number of vertical circles. The great circle intersecting the poles and passing through the observer’s zenith is the principal vertical. Perpendicular to the principal vertical, and passing through east...

## Navigational Instruments Reference library

### The Oxford Encyclopedia of Maritime History

...Through a complex procedure of bisections and the use of a “scale of equal parts” he was able to lay out angles of 60°, 90°, 75°, and 85°20'. The 85°20' point was the critical step, and it had to be carefully confirmed. Once this point was established it could be bisected into the 1,024 remaining points, dividing the arc into five-minute graduations. An additional series of bisections completed the fifty-six remaining graduations between 85°20' and 90°—a test of skill which very few makers could complete successfully. The Board of Longitude gave Bird an award...

## Carpet Reference library

### The Grove Encyclopedia of Decorative Arts

...the composition. Several examples of Garden carpets (e.g. Glasgow, Burrell Col.; the Wagner Garden Carpet) are related in technique and style to the group with depressed warps. The field schematically shows a bird’s-eye view of a Persian garden, the parterres of which are bisected by watercourses emanating from a central pond. Each parterre is filled with a variety of flowers, shrubs, trees and birds; the streams may contain fish. In such an arid land as Iran, garden iconography remained popular. Garden carpets of a more stylized character were made in...

## Architecture Reference library

### The Grove Encyclopedia of Islamic Art and Architecture

...from one to another with urban civilization still close at hand. The Timurids in Herat were equally alive to the delights of the garden. By the end of the 15th century the area north of the city was filled with gardens irrigated by canals. In some cases streams were diverted to bisect religious buildings such as Sultan Husayn Bayqara's madrasa and ῾Alishir's Ikhlasiyya complex. A setting for picnics, musical and literary parties, wedding and circumcision feasts, gardens also served as the locus for the quotidian affairs of state. The most splendid garden in...

## Architecture Reference library

### The Grove Encyclopedia of Classical Art and Architecture

...evaporation; otherwise these buildings were generally without decoration. Olynthos (founded 432 bc , destr. 348 bc ) had a grid plan with ten lots to a block ( see also Planning , §I ). The houses were one-storey with asymmetrical plans (7c). Most were c. 18.3 m square, bisected by a pastas running east-west. The south half comprised a court, sometimes paved with cobblestones and surrounded by a peristyle (for illustration see Olynthos ); the north half comprised the main room, often with a hearth, and the kitchen and bathroom. The andron ,...

## folds and folding Reference library

### The Oxford Companion to the Earth

...The axial surface is an imaginary surface that connects the hinge zones of the various folded layers and commonly bisects the angle between adjacent fold limbs. The shape of a fold is a function of the thickness of a layer with respect to a referent; for example a thickness measured at right angles to the surface of a layer (Fig. 3) or the thickness of the axial surface. If the thickness of a particular layer is constant normal (perpendicular) to the layer, the shape of the fold is parallel . If the thickness is constant parallel to the axial surface, the...

## Beth-Shean, Roman and Byzantine Period Reference library

*Gabriel Mazor*

### The Oxford Encyclopedia of the Bible and Archaeology

...Roman and Byzantine Period Settled over Tel Beth-Shean (Tel el-Husn, the “Fortress Mound”), at the southern bank of Harod Stream that bisects Beth-Shean Valley, ca. 12 miles (20 km) south of the Sea of Galilee as the crow flies, ancient Beth-Shean, among the oldest cities in the Near East, was from time immemorial a central and significant participant in the historical chapters of the region. The valley, situated ca. 459 ft (140 m) below sea level, enjoys a semiarid climate, although some 30 to 35 springs, with an annual output of ca. 1,302,433,160...

## Gothic Reference library

### The Grove Encyclopedia of Northern Renaissance Art

...the latter two from their distant prototype is the adoption of large-scale fan vaults. This feature was unique to England and perhaps the single most original component of Perpendicular, extending the old Rayonnant identity of masonry and window tracery to its logical conclusion. Each rib cone, decorated with regular spokes of bifurcating tracery, exactly resembles in plan a bisected rose window. Their expense and structural indeterminacy confined fans at first to such small enterprises as porches, towers, cloister walks (the earliest extant examples are in...

## Gothic architecture Reference library

### The Grove Encyclopedia of Medieval Art and Architecture

...the latter two from their distant prototype is the adoption of large-scale fan vaults. This feature was unique to England and perhaps the single most original component of Perpendicular, extending the old Rayonnant identity of masonry and window tracery to its logical conclusion. Each rib cone, decorated with regular spokes of bifurcating tracery, exactly resembles in plan a bisected rose window. Their expense and structural indeterminacy confined fans at first to such small enterprises as porches, towers, cloister walks (the earliest extant examples are in...

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