Where does “basketball” come from?

I need to work with the etymology chain provided, but I notice it contains repetitions and appears malformed (it cycles through the same words). Let me note what's actually usable: - English ball - Ancient Greek βάλλω (ballō) However, I'm missing clear information about "basketball" specifically in this chain. The chain seems to only trace "ball" back to Ancient Greek βάλλω, but doesn't explain how we get to "basketball" as a compound. Given the constraint that I can "state only what the chain supports" and cannot "invent dates, cognates, or intermediate steps," I cannot accurately write this summary because the chain doesn't clearly support the full etymology of "basketball." If I must provide a sentence based only on the valid elements present: Basketball derives from English ball, which comes from Ancient Greek βάλλω meaning to throw. (This is 17 words,

basketball (English): A sport in which two opposing teams of five...