| 1 | Ancient Greek | ἀξιωμᾰτικός | employing logical propositions |
| 2 | Ancient Greek | ἀξίωμα | that which is thought fit, a requisite; that... |
| 3 | Ancient Greek | ἀξιόω | to think or deem worthy |
| 4 | Ancient Greek | ἄξιος | counterbalancing, weighing as much as, of like... |
| 5 | Ancient Greek | ἄγω | To lead, fetch, bring along , take with; To carry... |
| 6 | Proto-Hellenic | ágō | to lead, to guide |
| 7 | Proto-Indo-European | h₂éǵeti | to be driving |
| 8 | Proto-Indo-European | h₂eǵ- | to drive |