ἀνά

Etymology
From. Beekes' derivation from doesn't explain the second syllable. LIPP reconstructs. For >  a vowel harmony is posited, cf. ,, , , , . For the stress shift, an analogy with other prepositions. Cognates include 🇨🇬, 🇨🇬 in, , and 🇨🇬.

The genitive is an innovated Greek associative. The dative is from the PIE locative. The accusative is from the pre-PIE directional.

Preposition

 * 1)   on board
 * 2)   on, upon
 * 3) up, upwards, along
 * 4) in sequence, each, throughout
 * 5) up to
 * 6)  at a rate, speed, or price of, for
 * 1)  at a rate, speed, or price of, for