tracheoscopy

The story

1. Proto-Indo-European*dʰreh₂gʰ-
2. Proto-Indo-European*dʰréh₂gʰus
3. Proto-Hellenic*tʰrākʰús
4. Ancient Greekτρᾱχεῖᾰ (trākheîă)
5. Late Latintrāchīa
6. Medieval Latintrāchēa
7. Englishtrachea
8. Englishtracheo-
9. Proto-Indo-European*speḱ-
10. Proto-Indo-European*spéḱyeti
11. Proto-Hellenic*sképt͏̌omai
12. Ancient Greekσκέπτομαι (sképtomai)
13. Ancient Greekσκοπός (skopós)
14. Ancient Greekσκοπέω (skopéō)
15. English todaytracheoscopy

From tracheo- + -scopy.