# Diagonal

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## diagonal

1. Maths connecting any two vertices that in a polygon are not adjacent and in a polyhedron are not in the same face
2. Maths a diagonal line or plane
3. Chess any oblique row of squares of the same colour
4. cloth marked or woven with slanting lines or patterns
5. one front leg and the hind leg on the opposite side of a horse, which are on the ground together when the horse is trotting
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## Diagonal

Joins two nonadjacent sides of a polygon with a slanted or oblique direction from one corner to the other; their use in a square or rectangle produces two triangular shapes.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## Diagonal

a dense fabric of twisted cotton or wool yarn. Diagonals are characterized by sharp ribs on the surface running at an angle of more than 45° to the selvage. The ribs are obtained by proper selection of the ratio of the density and thickness of the warp and woof, as well as by the special interweaving of threads. Diagonal is used for uniforms (from wool warp and cotton woof), coats, and jackets.

## Diagonal

(1) The diagonal of a polygon is the line segment between two nonadjacent vertices. If the number of vertices of a polygon is n, then the number of diagonals is n(n -3)12.

(2) The diagonal of a polyhedron is the line segment between two vertices that do not lie on the same face.

## diagonal

[dī′ag·ən·əl]
(civil engineering)
A sloping structural member, under compression or tension or both, of a truss or bracing system.
(mathematics)
The set of points all of whose coordinates are equal to one another in an n-dimensional coordinate system.
A line joining opposite vertices of a polygon with an even number of sides.
(optics)
A plane mirror or prism face mounted near the eyepiece of a telescope at an angle to the light path, to redirect the light for convenience of observation or to reduce the intensity of the image of the sun so that it can be observed directly.
(textiles)
A heavy twilled fabric.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## diagonal

In a framed structure, an inclined member running across a panel, 7, e.g., as in a truss.
McGraw-Hill Dictionary of Architecture and Construction. Copyright © 2003 by McGraw-Hill Companies, Inc.
References in periodicals archive ?
Subjects were asked to perform the two commode transfers (side and diagonal) using their regular, everyday approaches.
From the Haglund-Morse-Zabrocki conjectures, it follows that the sum of the weights of the collection n[5,2] of Parking Functions with diagonal composition [5,2] should be given by the polynomial [nabla][C.sub.5] [C.sub.2] and the sum of the weights of the collection n[4,3] of Parking Functions with diagonal composition [4, 3] should be given by [nabla][C.sub.4][C.sub.3].
The shear failure of reinforced concrete members without stirrups initiates in the form of diagonal cracks, which later propagates through the beam web, when the principal tensile stress within the shear span exceeds the tensile strength of concrete.
My vantage point and framing form matching diagonal lines out of the shadowed right arm extending into the flowers, and the rope he draws back with his left hand.
The field of algebraic combinatorics is dynamic, and one of the most lively studies within the field is the combinatorics of the space of diagonal harmonics.
Turn diagonal right to a stile in the corner and turn sharp right on to a bridle path and pass through a field gate.
In addition to the Portege R400 the following Toshiba notebooks will be available with Microsoft Windows Vista: Satellite A135 multimedia notebook with 15.4" diagonal WXGA widescreen display (with prices starting from USD899.99); the Satellite P105 desktop replacement with 17" diagonal WXGA widescreen display and external USB TV tuner (USD1,599); and the Satellite P105 gaming notebook with 17" diagonal WXGA widescreen display and NVIDIA's GeForce Go 7900 GS Graphics Card (USD1,999.99).
As for your argument in favor of the indivisibility of the diagonal of the square by action, if you had understood the problem you would not have objected in this way, as this objection is usually raised against the followers of Democritus and not against those who accept divisibility by force for each.
Gran Associates' design program focused on unifying the irregular building site via a diagonal "Main Street" which ties together the existing and the new building.
There are two main types of cumulation: bilateral and diagonal.

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