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A slanted line or direction that connects two non-adjacent corners of a polygon, especially a quadrilateral.
Um die Fläche zu teilen, zog er eine diagonale Linie von einer Ecke zur anderen.
To divide the area, he drew a diagonal line from one corner to the other.
Running in a slanted direction; across something.
Wir liefen diagonal über den leeren Marktplatz, um den Weg abzukürzen.
We walked diagonally across the empty market square to shorten the route.
The context makes the meaning clear. In geometry or design, 'diagonal' describes a line between corners. In everyday language, it describes a slanted movement or arrangement in space.
Ein Rechteck hat zwei diagonale Linien gleicher Länge.
A rectangle has two diagonal lines of equal length.
In a geometric context, 'diagonal' is often used with verbs like 'ziehen' (to draw), 'verbinden' (to connect), or 'verlaufen' (to run) in combination with 'Linie' (line) or 'Achse' (axis).
Der Architekt zog eine diagonale Linie durch den Grundriss.
The architect drew a diagonal line through the floor plan.
'Diagonal' is very often used as an adverb to describe the manner of a movement. It then appears with verbs like 'laufen' (to walk/run), 'gehen' (to go/walk), 'fahren' (to drive), or 'schneiden' (to cut).
Schneide das Sandwich bitte diagonal durch.
Please cut the sandwich diagonally.
slanted / odd
„Schräg“ generally describes a line that is neither horizontal nor vertical. In geometry, „diagonal“ more precisely refers to a slanted line between two non-adjacent corners. Without this connection, „schräg“ is appropriate; between opposite corners, „diagonal“ is the right choice.
Sie zeichnet eine diagonale Linie zwischen zwei gegenüberliegenden Ecken des Blattes.
She draws a diagonal line between two opposite corners of the sheet.
Sie zeichnet eine schräge Linie auf das rechteckige Blatt.
She draws a slanted line on the rectangular sheet of paper.
