The story
- Proto-Indo-European*welH-
- Ancient Greekἕλιξ (hélix)
- Proto-Indo-European*peth₂-
- Proto-Indo-European*péth₂r̥
- Proto-Hellenic*pterón
- Ancient Greekπτερόν (pterón)
- Frenchhélicoptère
- English todayhelicopter
Borrowed from French hélicoptère, from Ancient Greek ἕλιξ (hélix, “spiral”) + πτερόν (pterón, “wing”). Doublet of helicopteron. By surface analysis, helico- + -pter. The dragonfly sense is from a dragonfly's ability to hover and fly in any direction, like the flying machine.
Etymology from Wiktionary, CC BY-SA 4.0.