## Diagonal

A **diagonal** is a line joining two nonconsecutive vertices of a polygon or polyhedron. 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").

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### Some articles on diagonal:

**Diagonal**- Geometry

... consisting of all pairs (x,x), is called the

**diagonal**, and is the graph of the identity relation ... points of a mapping F from X to itself may be obtained by intersecting the graph of F with the

**diagonal**... In geometric studies, the idea of intersecting the

**diagonal**with itself is common, not directly, but by perturbing it within an equivalence class ...

### More definitions of "diagonal":

- (
*noun*): A punctuation mark (/) used to separate related items of information.

Synonyms: solidus, slash, virgule, stroke, separatrix

- (
*noun*): An oblique line of squares of the same color on a checkerboard.

Example:*"The bishop moves on the diagonals"*

- (
*noun*): A line or cut across a fabric that is not at right angles to a side of the fabric.

Synonyms: bias

- (
*noun*): (geometry) a straight line connecting any two vertices of a polygon that are not adjacent.

- (
*adj*): Having an oblique or slanted direction.

Synonyms: aslant, aslope, slanted, slanting, sloped, sloping

- (
*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.

Example:*"A diagonal line across the page"*

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