Where does “Saia” come from?

Saia (English) comes from Italian saia, from Old French saie, from Latin sagum, from Ancient Greek σάγος, from Latin sagus, from Latin sāgiō, from Proto-Italic sāgiō, from Proto-Indo-European séh₂gyeti — to seek out.

Ancestry of “Saia”, step by step

StepLanguageWordMeaning
1ItaliansaiaA ditch or trench, especially in Sicily
2Old Frenchsaie
3Latinsagumsagum, a military cloak; singular accusative of...
4Ancient Greekσάγοςcloak; coat, habit
5LatinsagusArchaic form of sagum; divining, prophetic
6Latinsāgiōto perceive quickly or keenly with the senses
7Proto-Italicsāgiō
8Proto-Indo-Europeanséh₂gyetito give a sign
9Proto-Indo-Europeanseh₂g-to seek out
Every word from Proto-Indo-European seh₂g-Every word from Proto-Indo-European séh₂gyetiEvery word from Proto-Italic sāgiō