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Meaning & Definition of Diagonal in English

English

Diagonal

/daɪægənəl/

noun

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

synonym:
  • diagonal

2. A line or cut across a fabric that is not at right angles to a side of the fabric

synonym:
  • diagonal,
  • bias

3. An oblique line of squares of the same color on a checkerboard

  • "The bishop moves on the diagonals"
synonym:
  • diagonal

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

synonym:
  • diagonal

5. A punctuation mark (/) used to separate related items of information

synonym:
  • solidus,
  • slash,
  • virgule,
  • diagonal,
  • stroke,
  • separatrix

adjective

1. 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"
synonym:
  • diagonal

2. Having an oblique or slanted direction

synonym:
  • aslant,
  • aslope,
  • diagonal,
  • slanted,
  • slanting,
  • sloped,
  • sloping

Examples of using

A diagonal matrix is positive semidefinite if and only if all of its elements are nonnegative.