lead / advantage
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lead
A spatial or temporal distance by which someone is ahead of someone else in a competition or movement.
Die Läuferin konnte ihren Vorsprung bis ins Ziel halten.
The runner was able to maintain her lead all the way to the finish.
advantage
An advantage over others in a non-physical area, such as knowledge, technology, or development.
Durch innovative Forschung hat das Unternehmen einen klaren Vorsprung vor der Konkurrenz.
Through innovative research, the company has a clear advantage over the competition.
projection / ledge
A part of an object, especially a rock face or building, that protrudes.
Die Bergsteigerin machte eine Pause auf einem kleinen Felsvorsprung.
The climber took a break on a small rock ledge.
The word is made up of 'vor' and 'Sprung'. So it literally describes a 'jump forward', which explains well the meaning of an advantage or a lead.
Durch die neue Technologie hat die Firma einen großen Vorsprung.
Thanks to the new technology, the company has a big advantage.
To say over whom or what someone has an advantage, the preposition 'vor' is used with the dative. The structure is: einen Vorsprung vor jemandem/etwas haben (to have a lead/advantage over someone/something).
Die Heimmannschaft hat einen Vorsprung von zwei Toren vor den Gästen.
The home team has a two-goal lead over the visitors.
In sports or competitive contexts, 'Vorsprung' (lead) is often combined with verbs like 'ausbauen' (to extend), 'verteidigen' (to defend/maintain), or 'verlieren' (to lose).
Der Radfahrer versucht, seinen Vorsprung auf den letzten Kilometern zu verteidigen.
The cyclist is trying to defend his lead over the final kilometers.
In the meaning of a protruding part, 'Vorsprung' (projection/ledge) is often used in compound words like 'Felsvorsprung' (rock ledge) or 'Mauervorsprung' (wall projection). This helps you recognize this meaning quickly.
Auf dem schmalen Felsvorsprung wuchsen einige seltene Pflanzen.
A few rare plants were growing on the narrow rock ledge.
leadership / tour / lead
Führung and Vorsprung can both describe a team being ahead in a competition. Führung refers to the position at the top, while Vorsprung refers to the distance ahead of the others. When the ranking position is the focus, Führung is appropriate; when the gap is mentioned, Vorsprung is appropriate.
Nach zehn Minuten hatte unser Team einen Vorsprung von zwei Punkten.
After ten minutes, our team had a two-point lead.
Nach zehn Minuten übernahm unser Team die Führung im Spiel.
After ten minutes, our team took the lead in the game.
