normal line
die Normale, die Normalen
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normal line
A straight line that intersects another straight line, curve, or surface at a right angle at a particular point.
Durch den Berührungspunkt legte der Mathematiker die Normale an die Kurve.
The mathematician drew the normal to the curve through the point of contact.
| gender | feminine die |
|---|---|
| plural | die Normalen |
| genitive | der Normale |
| singular | plural | |
|---|---|---|
| nominative | die Normale | die Normalen |
| accusative | die Normale | die Normalen |
| dative | der Normale | den Normalen |
| genitive | der Normale | der Normalen |
The article changes with the case; it is shown in colour.
'Die Normale' (normal line) is primarily a mathematical term, especially in geometry and calculus. In everyday language, it mainly occurs when discussing geometric drawings, curves, or surfaces.
Im Mathematikunterricht zeichneten wir die Normale zu einer gegebenen Kurve.
In math class, we drew the normal to a given curve.
Typical phrases include 'eine Normale an eine Kurve legen' (to draw a normal to a curve), 'eine Normale errichten' (to construct a normal), and 'die Normale im Punkt P' (the normal at point P). Its relationship to the tangent is also frequently described.
Die Studentin errichtete im Punkt P eine Normale zur Kurve.
The student constructed a normal to the curve at point P.
With a curve, the preposition 'an' is often used: 'Man legt eine Normale an die Kurve' (You draw a normal to the curve). The exact location is often specified using 'im' (at) followed by a point's name or label.
Zeichne die Normale an die Parabel im Punkt Q.
Draw the normal to the parabola at point Q.
