
gedacht
intended
Designated for a specific purpose or person; meant or intended.
Dieses Geschenk ist für dich gedacht.
This gift is intended for you.
intended / imaginary
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intended
Designated for a specific purpose or person; meant or intended.
Dieses Geschenk ist für dich gedacht.
This gift is intended for you.

imaginary
Only imagined or present in one's thoughts, without actually existing.
Die gedachte Linie teilt das Rechteck in zwei gleiche Hälften.
The imaginary line divides the rectangle into two equal halves.
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When „gedacht“ (intended) is used with „für“ (for) and a person or purpose, it usually refers to a designation or intention. With words such as „Linie“ (line), „Grenze“ (boundary), or „Ebene“ (plane), „gedacht“ often refers to something merely imagined or theoretically assumed.
Das Grundstück ist für einen Spielplatz gedacht.
The plot of land is intended for a playground.
Der Äquator ist eine gedachte Linie rund um die Erde.
The equator is an imaginary line around the Earth.
For the meaning „vorgesehen“ (intended), the fixed expression „für jemanden oder etwas gedacht sein“ (to be intended for someone or something) is often used. The accusative follows „für“ (for).
Das Buch ist für Kinder gedacht.
The book is intended for children.
In mathematical, technical, or scientific texts, „gedacht“ (imaginary) often comes before terms such as „Linie“ (line), „Ebene“ (plane), „Grenze“ (boundary), or „Fläche“ (surface). It describes a theoretical concept that is not necessarily visibly drawn or physically present.
Die gedachte Fläche trennt den Raum in zwei Bereiche.
The imaginary surface divides the space into two areas.