
die Partie
game
A single game, especially in board games or card games such as chess, skat, or tennis.
Lass uns am Abend eine Partie Schach spielen.
Let's play a game of chess this evening.
game / section
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game
A single game, especially in board games or card games such as chess, skat, or tennis.
Lass uns am Abend eine Partie Schach spielen.
Let's play a game of chess this evening.

section / area
A specific part or section of something, often referring to a body part or a landscape.
Die Hautpartie um die Augen ist besonders empfindlich.
The area of skin around the eyes is especially sensitive.

batch / shipment
A delivery or a specific quantity of goods that belong together.
Der Händler erhielt eine neue Partie Olivenöl aus Griechenland.
The merchant received a new batch of olive oil from Greece.

part
The musical part played or sung by a single voice or a single instrument in a piece of music.
Die erste Geige spielt eine sehr anspruchsvolle Partie.
The first violin plays a very demanding part.

a good match
A person considered an advantageous spouse, usually because of wealth, social status, or character.
Mit dem jungen Arzt hat ihre Tochter eine wirklich gute Partie gemacht.
With the young doctor, her daughter really made a good match.
'Die Partie' does not mean 'party' in English. A celebration or party in German is 'die Party'. 'Die Partie' usually refers to a game (e.g., chess) or a part of something.
Wir haben am Wochenende eine spannende Partie Tennis gespielt.
We played an exciting game of tennis at the weekend.
The meaning of 'Partie' (game/section) becomes clear from context. In sports or board games, it is a single game. In music, it is the part of an instrument. In trade, it is a shipment of goods.
Die Schachpartie dauerte über vier Stunden.
The chess game lasted over four hours.
In the meaning 'Spiel' (game), 'Partie' is often combined with the verb 'spielen' (to play) and the name of the game. Typical phrases are 'eine Partie Schach spielen' (to play a game of chess), 'eine Partie Karten spielen' (to play a game of cards), or 'eine Partie Billard spielen' (to play a game of billiards/pool).
Wer hat die letzte Partie Poker gewonnen?
Who won the last game of poker?
The expression 'eine gute Partie machen' means to marry someone who is considered advantageous (e.g., because of money or status). The expression is often perceived as somewhat old-fashioned.
Ihre Eltern hofften, dass sie eine gute Partie machen würde.
Her parents hoped that she would make a good match.
When 'Partie' describes a part, it is often combined with another noun to form a compound. Common examples are 'Körperpartie' (part of the body), 'Hautpartie' (area of skin), or 'Gesichtspartie' (area of the face).
Diese Creme ist speziell für die empfindliche Augenpartie entwickelt worden.
This cream was developed especially for the sensitive eye area.
game / play
In chess and similar games, Spiel and Partie can refer to the same individual contest. Partie highlights a clearly defined round and is customary only for certain types of games. Spiel is the more general term.

Die Partie zwischen Lea und Amir endete nach vierzig Zügen.
The game between Lea and Amir ended after forty moves.
Das Spiel zwischen Lea und Amir begann um acht Uhr.
The game between Lea and Amir began at eight o’clock.