Примеры использования Quadrilaterals на Английском языке и их переводы на Русский язык
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Some(but not all) quadrilaterals have an incircle.
All triangles have a circumcircle, but not all quadrilaterals do.
Can these two quadrilaterals have 6 right angles in total?
The regular octahedron is a special case in which all three quadrilaterals are planar squares.
Polygons such as quadrilaterals can be defined by using more than three vertex/texture/normal indices.
Can one draw three triangles so that both their intersection andtheir union are convex quadrilaterals?
The new mesh will consist only of quadrilaterals, which in general will not be planar.
The Herschel graphrepresents the vertices and edges of the Herschel enneahedron above, with all of its faces quadrilaterals.
This configuration describes two quadrilaterals that are simultaneously inscribed and circumscribed in each other.
These primitives were cuboids, four-sided frustums(called pyramids by Freescape), triangles,rectangles, quadrilaterals, pentagons, hexagons and line segments.
The ballot will be divided into nine quadrilaterals where there will be written the election runners and will be 26.5 cm long and 14 cm wide.
Frati& Patrignani(2008) showed that this graph, and any graph formed by adding diagonals to its quadrilaterals, can be drawn within a box of dimensions n/3× 2n/3.
The ballot will be divided in 39 quadrilaterals, each with dimensions of 110 mm by 20mm. The ballot's length is 945 mm, and the width is 140 mm.
A closely related configuration, the Möbius-Kantor configuration formed by two mutually inscribed quadrilaterals, has the Möbius-Kantor graph, a subgraph of Q4, as its Levi graph.
When the quadrilaterals are rotated about their centers they fill the space of the small square, although the total area of the figure seems unchanged.
The cyclic quadrilateral has maximal area among all quadrilaterals having the same sequence of side lengths.
Among all quadrilaterals, the shape that has the greatest ratio of its perimeter to its diameter is an equidiagonal kite with angles π/3, 5π/12, 5π/6, and 5π/12.
One kind, which may be called a quadrilateral book, consists of p quadrilaterals sharing a common edge known as the"spine" or"base" of the book.
Convex quadrilaterals whose side lengths form an arithmetic progression are always ex-tangential as they satisfy the characterization below for adjacent side lengths.
For instance, binary subdivision has one tile type and one edge type: Since the only tile type is a quadrilateral, binary subdivision can only subdivide tilings made up of quadrilaterals.
A few metric characterizations of tangential quadrilaterals and orthodiagonal quadrilaterals are very similar in appearance, as can be seen in this table.
This shape has been used as a test case for hexahedral mesh generation,simplifying an earlier test case of Rob Schneider in the form of a square pyramid with its boundary subdivided into 16 quadrilaterals.
Note that the converse does not hold: Some quadrilaterals that are not bicentric also have area K a b c d.{\displaystyle\displaystyle K={\sqrt{abcd}}.}.
These polyhedra resemble the dual gyrobifastigium in that both shapes have eight vertices and eight faces,with the faces forming a belt of four quadrilaterals separating two pairs of triangles from each other.
Squaregraphs, planar graphs in which all interior faces are quadrilaterals and all interior vertices have four or more incident edges, are another subclass of the median graphs.
Quadrilaterals that are both orthodiagonal and equidiagonal, and in which the diagonals are at least as long as all of the quadrilateral's sides, have the maximum area for their diameter among all quadrilaterals, solving the n 4 case of the biggest little polygon problem.
Parallelograms(which include squares, rhombi, and rectangles)can be considered ex-tangential quadrilaterals with infinite exradius since they satisfy the characterizations in the next section, but the excircle cannot be tangent to both pairs of extensions of opposite sides since they are parallel.
Equidiagonal quadrilaterals were important in ancient Indian mathematics, where quadrilaterals were classified first according to whether they were equidiagonal and then into more specialized types.
Solving for x yields x R 2+ r 2-r 4 R 2+ r 2.{\displaystylex={\sqrt^{ 2}+ r^{ 2}- r{\ sqrt{ {4R^{2}+r^{2 Fuss's theorem, which is the analog of Euler's theorem for triangles for bicentric quadrilaterals, says that if a quadrilateral is bicentric, then its two associated circles are related according to the above equations.
The faces usually consist of triangles(triangle mesh), quadrilaterals, or other simple convex polygons, since this simplifies rendering, but may also be composed of more general concave polygons, or polygons with holes.