
die Extremität
limb
In anatomy, a limb of the body, meaning an arm or a leg. Usually used in the plural.
Bei dem Unfall wurden seine unteren Extremitäten schwer verletzt.
His lower limbs were badly injured in the accident.
extremity
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limb
In anatomy, a limb of the body, meaning an arm or a leg. Usually used in the plural.
Bei dem Unfall wurden seine unteren Extremitäten schwer verletzt.
His lower limbs were badly injured in the accident.

extremity
An extreme state, an extreme action, or a radical opinion. This meaning is rare and elevated in style.
Seine politischen Ansichten neigten zur Extremität und ließen keinen Raum für Kompromisse.
His political views tended toward extremity and left no room for compromise.
The word 'Extremität' (extremity) is closely related to the adjective 'extrem' (extreme). It originally referred to the outermost ends of something. In the anatomical sense, it means the outermost parts of the body: the arms and legs.
Die Temperaturen in der Wüste sind extrem.
Temperatures in the desert are extreme.
'Extremität' (extremity/limb) is a technical term from medicine and anatomy. In normal everyday language, people use the words 'Arme' (arms) and 'Beine' (legs).
Der Arzt untersuchte die Schwellung an der rechten unteren Extremität.
The doctor examined the swelling on the right lower limb.
The word is almost always used in the plural, 'die Extremitäten' (the extremities/limbs). A distinction is often made between the 'oberen Extremitäten' (upper limbs/arms) and the 'unteren Extremitäten' (lower limbs/legs).
Kaltes Wetter kann die Durchblutung in den Extremitäten beeinträchtigen.
Cold weather can affect circulation in the extremities.
In this figurative meaning, 'Extremität' (extremity) is very rare and belongs to an elevated, almost literary style. It describes a radical attitude or action.
Sein Verhalten war von einer gewissen Extremität geprägt.
His behavior was marked by a certain extremity.
extreme
Extrem is the usual, concise term for a radical position or an extreme state. Extremität can express the same idea as a noun, but in this meaning it sounds rare and elevated. Use extrem in normal speech and Extremität only in appropriately formal texts.

Die Forderung nach einem vollständigen Verbot gilt als politische Extremität.
The demand for a complete ban is regarded as a political extremity.
Die Forderung nach einem vollständigen Verbot ist extrem.
The demand for a complete ban is extreme.