Where does “palestre” come from?

palestre (Middle French) comes from Latin palaestra, from Ancient Greek παλαίστρα, from Ancient Greek παλαίω, from Ancient Greek πά̆λη — wrestling, fight.

Ancestry of “palestre”, step by step

Step	Language	Word	Meaning
1	Latin	palaestra	wrestling school, palaestra; place of exercise;...
2	Ancient Greek	παλαίστρα	wrestling-school, palaestra
3	Ancient Greek	παλαίω	to wrestle; to overcome; to endeavour
4	Ancient Greek	πά̆λη	wrestling, fight

Every word from Ancient Greek πά̆λη →Every word from Ancient Greek παλαίω →Every word from Ancient Greek παλαίστρα →