Diagonal (Noun)
Meaning 1
A line or cut across a fabric that is not at right angles to a side of the fabric.
Classification
Nouns denoting two and three dimensional shapes.
Examples
- The seamstress carefully planned the diagonal cut across the patterned fabric to create a unique and asymmetrical design.
- The dress featured a bold diagonal slash across the front, creating a striking visual effect.
- To create a more dynamic look, the designer opted for a diagonal hemline rather than a traditional straight or curved one.
- Cutting the fabric on the diagonal allowed the seamstress to create a fitted, A-line silhouette.
- The quilter employed a clever technique of cutting the squares on the diagonal to create a stunning and intricate starburst pattern.
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Meaning 2
(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.
Classification
Nouns denoting groupings of people or objects.
Examples
- The entries in the main diagonal of the identity matrix are all equal to one.
- The diagonal running from the upper right to lower left entry contains only zeros.
- She wrote a program to calculate the sum of the entries in the diagonal.
- In a square matrix, the trace is defined as the sum of the entries in the diagonal.
- The diagonal of the adjacency matrix of a graph represents a self-loop.
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Meaning 3
A punctuation mark (/) used to separate related items of information.
Classification
Nouns denoting communicative processes and contents.
Examples
- The address was written as 123 Main Street/Anytown/USA on the envelope.
- The slash in the date 2022/02/28 indicated the year, month, and day.
- The phone number was listed as 555-1234/extension 101 on the business card.
- The filename was written as document/2022/January/meeting_notes.txt on the computer.
- The notation 3/4 cup was used to indicate the amount of flour needed in the recipe.
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Meaning 4
An oblique line of squares of the same color on a checkerboard; "the bishop moves on the diagonals".
Classification
Nouns denoting groupings of people or objects.
Examples
- The bishop moved up a diagonal capturing an opponent's pawn.
- The king's safety was threatened by the enemy's control of the diagonals.
- Controlling the diagonals on a checkerboard is crucial for making strategic moves.
- With each jump, the checker jumped over an opponent's piece on a diagonal.
- In the game of chess, bishops and queens are the pieces that move along diagonals.
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Meaning 5
(geometry) a straight line connecting any two vertices of a polygon that are not adjacent.
Classification
Nouns denoting two and three dimensional shapes.
Examples
- The large square had two diagonals that bisected each other perfectly.
- The architect carefully planned the diagonal path through the park to create visual interest.
- In a perfect regular pentagon, the diagonal is always 1.618 times longer than the side.
- The diagonal of the rhombus divided it into four congruent right triangles.
- Drawing a diagonal in a rectangle can help to create two congruent right triangles.