1. to enter a train or bus (The focus here is on "joining", so there are already people in the vehicle. You'll hear this in trains when they welcome the travelers that got on the train at an intermediate stop.)
Meanings
Examples
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A thorough look at the meaning of "steigen" and it's prefix versions, which are crucial if you want to use transportation in Germany :). Also: steigern.
Vocab:
steigen, einsteigen, aussteigen, steigern, die Steigerung, versteigern

Word Family
Root: *steigh-
The core idea of this root was:
walking, striding upward
The most notable English relative is the noun stair, but the root is also the origin of stickler, which originally was about putting on a base, and hemistich and stoichiometry. Which are both words I had no clue about. The first one has something to do with poetry and the second one with chemistry, bit the common theme is “layering rows“. Kind of like stairs :).
In German, steigen and its relatives are the only members I could find.
(da)hintersteigenabsteigenAbstiegansteigenAnstiegaufsteigen(d)raufsteigenAufstiegaussteigen(he)raussteigenAusstiegBahnsteigBergsteigerbesteigenBesteigungBürgersteig(d)rübersteigendurchsteigeneinsteigenEinstiegreinsteigenentsteigenersteigenhersteigenhinsteigenhochsteigenmitsteigennachsteigenruntersteigenversteigenStegLaufstegsteigernersteigernsich reinsteigern (in)SteigerungversteigernVersteigerungSteigungsteilTitten hängen, Mieten steigen.übersteigenumsteigenumsteigen (auf)Umstiegvorsteigenwegsteigenweitersteigenzusteigen