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Latin word dux comes from Proto-Indo-European *dh₁g-, and later Proto-Germanic *tēkaną (To grasp. To hold. To touch.)
*dh₁g- (Proto-Indo-European)
to touch
*tēkaną (Proto-Germanic)
To grasp. To hold. To touch.
*dukn- (Proto-Indo-European)
*dewk-s (Proto-Indo-European)
dux (Latin)
(Medieval Latin) duke. Commander, general. Leader. Prince, ruler.