diagonal

Meanings

• noun

  A line or plane that slants or zigzags across the corners of a square or rectangular array, connecting corresponding points at an angle.

  - "The diagonal of a square is the line that passes through the opposite corners."
  - "The length of the diagonal of a rectangle is the square root of the sum of the squares of the length and width."
  - "The matrix has a diagonal element in the main diagonal."

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Antonyms

backslash

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Synonyms

bias , slash , aslant , aslope , slanted , slanting , sloped , sloping

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Rhymes

Words rhyming with diagonal
hymnal , moral , rhythmnal , pastoral

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Variants

List of all variants of diagonal that leads to same result
diagonal , diagonals , on the diagonal , on the diagonals , diagonally , slant , slash , slash fiction , slash fictions , slashes , solidus , virgule , diagonal matrices , diagonal matrix , diagonal matrixes , principal diagonal , principal diagonals , on a diagonal

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Etymology

origin and the way in which meanings have changed throughout history.

From the Greek word 'dia' meaning 'through' and 'gonalos' meaning 'angle'.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The diagonal of a square is the longest line that can be drawn within the square.

2. The diagonal of a rectangle is the side that forms the hypotenuse of the right triangle formed by its legs.

3. In a Cartesian coordinate system, the diagonal of the first quadrant is the line x = y.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Pythagorean theorem: A mathematical equation that relates the sides of a right-angled triangle. The theorem states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

2. Euclidean geometry: A branch of geometry that deals with the study of points, lines, and figures in a plane or in space. Euclidean geometry is based on the axioms of Euclid's Elements.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

In mathematics, the diagonal is a significant concept in various fields such as geometry, algebra, and number theory. It has been used extensively in proofs and theorems, such as the Pythagorean theorem and Euclid's Elements.

How to Memorize "diagonal"

1. visualize
   

   - Visualize a square or rectangle and imagine a line passing through the opposite corners.

2. associate
   

   - Associate the word 'diagonal' with the concept of slanting or zigzagging across corners.

3. mnemonics
   

   - Use the mnemonic 'Diagonals are like zigzagging rivers' to remember the meaning of diagonal.

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