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Longman Dictionary of Contemporary English
diagonal
adjective
COLLOCATIONS FROM CORPUS
■ NOUN
line
▪ They fly in long diagonal lines or large V-shapes.
▪ An interactive video explains the significance of the symbols and the logic of their arrangement along vertical, horizontal and diagonal lines.
▪ His head was shaved, and he had diagonal lines of green and red painted down his face.
▪ Bold rather than technical, it strikes a diagonal line across the wall to the right of Engineers Slabs.
▪ The diagonal line forms the jabot effect.
▪ Insert another carnation in a diagonal line with the tiger lilies.
EXAMPLES FROM OTHER ENTRIES
▪ He drew a diagonal line across the page
EXAMPLES FROM CORPUS
▪ For a diagonal matrix D having all its diagonal elements different, it follows that C must then also be diagonal.
▪ Forward seat belts each comprised a two-piece lap strap, fastened by a buckle, and an inertial reel diagonal shoulder strap.
▪ Horizontal or diagonal branches produce more flowering shoots, and therefore more fruit, than vertical ones.
▪ New dimensions Adding diagonal ribbons creates a new dimension.
▪ On the white-painted wall of the lobby were several outsize representations of lighted cigarettes with a diagonal red line drawn through them.
▪ Patterns include lots of stripes, many of them worked in diagonal or chevron patterns.
▪ Six to eight diagonal transverse bands lie on the upper half of the body.
▪ This equation has a different, but still diagonal, metric tensor.
The Collaborative International Dictionary
diagonal

nonparallel \nonparallel\ adj.

  1. not parallel; -- of lines or linear objects. Opposite of parallel. [Narrower terms: bias, catacorner, cata-cornered, catercorner, cater-cornered, catty-corner, catty-cornered, diagonal, kitty-corner, kitty-cornered, oblique, skew, skewed, slanted ; {crossed, decussate, intersectant, intersecting; cross-grained ; {diagonal; orthogonal, orthographic, rectangular, right-angled ; {right, perpendicular; angled ; {convergent] Also See: convergent, divergent, diverging.

  2. (Computers) Not using parallel processing; -- of computers. [Narrower terms: serial] PJC]

Douglas Harper's Etymology Dictionary
diagonal

1540s (implied in diagonally), from Middle French diagonal, from Latin diagonalis, from diagonus "slanting line," from Greek diagonios "from angle to angle," from dia- "across" (see dia-) + gonia "angle," related to gony "knee" (see knee (n.)). As a noun, from 1570s.

Wiktionary
diagonal

a. 1 (context geometry English) joining two nonadjacent vertices (of a polygon or polyhedron). 2 Having a slanted or oblique direction, lines or markings. n. 1 something arranged diagonally or obliquely 2 a line or cut across a fabric that is not at right angles to a side of the fabric 3 a punctuation mark used to separate related items of information 4 (context geometry English) a diagonal line or plane 5 (context geometry English) a line joining non-adjacent vertex of a polygon.

WordNet
diagonal
  1. adj. at an angle; especially connecting two nonadjacent corners of a plane figure or any two corners of a solid that are not in the same face; "a diagonal line across the page"

  2. having an oblique or slanted direction [syn: aslant, aslope, slanted, slanting, sloped, sloping]

diagonal
  1. n. (geometry) a straight line connecting any two vertices of a polygon that are not adjacent

  2. a line or cut across a fabric that is not at right angles to a side of the fabric [syn: bias]

  3. an oblique line of squares of the same color on a checkerboard; "the bishop moves on the diagonals"

  4. (mathematics) a set of entries in a square matrix running diagonally either from the upper left to lower right entry or running from the upper right to lower left entry

  5. a punctuation mark (/) used to separate related items of information [syn: solidus, slash, virgule, stroke, separatrix]

Gazetteer
Diagonal, IA -- U.S. city in Iowa
Population (2000): 312
Housing Units (2000): 154
Land area (2000): 0.908254 sq. miles (2.352367 sq. km)
Water area (2000): 0.000000 sq. miles (0.000000 sq. km)
Total area (2000): 0.908254 sq. miles (2.352367 sq. km)
FIPS code: 21270
Located within: Iowa (IA), FIPS 19
Location: 40.808819 N, 94.341510 W
ZIP Codes (1990): 50845
Note: some ZIP codes may be omitted esp. for suburbs.
Headwords:
Diagonal, IA
Diagonal
Wikipedia
Diagonal

In geometry, a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge. Informally, any sloping line is called diagonal. The word "diagonal" derives from the ancient Greek διαγώνιος diagonios, "from angle to angle" (from διά- dia-, "through", "across" and γωνία gonia, "angle", related to gony "knee"); it was used by both Strabo and Euclid to refer to a line connecting two vertices of a rhombus or cuboid, and later adopted into Latin as diagonus ("slanting line").

In matrix algebra, a diagonal of a square matrix is a set of entries extending from one corner to the farthest corner.

There are also other, non-mathematical uses.

Usage examples of "diagonal".

His most famous square was a kingsize brainteaser that did not sum correctly at the diagonals, unless the diagonals were bent like boomerangs.

He pointed out that there were other ways to reach the picnic place from above, but this diagonal path which ran behind the Cordova wall was quicker.

The Seventy-seventh Division is a one-story red brick building just off Broadway with diagonal curbside parking out front and a ten-foot chain-link fence around the sides and back.

From these draw lines to point of sight, then by their aid and the two diagonals proceed to construct the pentagon in the same way that we did the triangles and other figures.

The chief thing to be noted is the way in which the diagonals are produced beyond the square of the walls, to give the width of the eaves, according to their position.

Then by the diagonals and measurements on base draw the second step and the square inside it on which to stand the foot of the cross.

As she climbed she had to duck under cobwebs draped from the great dusty diagonals of the massive beams supporting the ceilings and the thick, white-plastered outer walls.

This time, without any warning, I drew back my arm and dealt her a cut right across the fleshiest part of her backside, but in a diagonal way, from right to left and giving the whip the slightest possible flick of my wrist as I concluded the stroke.

And began running on the diagonal, toward where the handcar would emerge toward the darkness ahead.

I could actually have managed it, as he was as strong as he was willful, his diagonal crossing of the flight of hurdles harvested a barrage of curses from the other jockeys.

Ulnar loops in any finger are designated by a diagonal line slanting in the direction of the loop.

The transformations defining the symmetry of a square are: all rotations that are multiples of 90 degrees, and all reflections about diagonals and about lines that join the midpoints of opposite sides.

We define a diagonal as a line drawn between nonadjacent angles in a regular plane polygon.

In one was a necktie with narrow diagonal stripes in varying shades of green, in the other was a platinum scarfpin in the shape of a crescent set with small diamonds.

His sarong, a skirtlike garment that men kilted up between their legs, was patterned in black and white diagonal stripes.