ridge / burr
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ridge
A narrow, often sharp mountain ridge that separates two valleys or slopes.
Die Bergsteiger sicherten sich gegenseitig für die Kletterpartie über den ausgesetzten Grat.
The mountaineers secured one another for the climbing section over the exposed ridge.
You can recognize the meaning of 'Grat' from the context. If it is about mountains, climbing, or hiking, it means the mountain ridge. In the expression 'ein schmaler Grat' (a fine line), it refers to a delicate situation. If craftspeople are talking about metal or plastic, it means the sharp edge.
Die Wanderung auf dem Grat erfordert Schwindelfreiheit.
The hike along the ridge requires a head for heights.
In the context of mountains, 'Grat' is often described with adjectives like 'schmal' (narrow), 'scharf' (sharp), or 'ausgesetzt' (exposed). Typical verbs are 'über den Grat klettern' (to climb over the ridge) or 'dem Grat folgen' (to follow the ridge).
Die Route führt über einen langen, felsigen Grat zum Gipfel.
The route leads over a long, rocky ridge to the summit.
The idiom is almost always 'ein schmaler Grat' (a fine line). It is often expanded with the preposition 'zwischen' (between) to name the two opposites: 'ein schmaler Grat zwischen A und B' (a fine line between A and B).
Ihre Antwort war ein schmaler Grat zwischen Witz und Beleidigung.
Her answer was a fine line between wit and insult.
This meaning of 'Grat' is technical language from crafts and industrial manufacturing. The appropriate verb for removing this burr is 'entgraten' (to deburr).
An der Bohrung ist ein scharfer Grat entstanden, den man abschleifen muss.
A sharp burr has formed at the drill hole and needs to be ground off.
border / limit
'die Grenze' and 'der Grat' can both mean a fine separation between two areas. 'Grenze' is the general word for a limit or a dividing line. 'Grat' is used in the expression 'ein schmaler Grat' (a fine line) when a situation is very delicate and a small mistake can quickly have negative consequences. Learners may confuse the words because both express a separation in a figurative sense. 'Grenze' is general and neutral. 'Ein schmaler Grat' fits when you want to emphasize the danger or difficulty of the situation.
Zwischen mutigem Handeln und Leichtsinn liegt oft ein schmaler Grat.
There is often a fine line between brave action and recklessness.
In einer Diskussion sollte man die Grenze zwischen Kritik und Beleidigung beachten.
In a discussion, you should pay attention to the line between criticism and insult.