Where does “cascade” come from?

I need to work through this chain carefully, but I notice it appears to have repetitive circular elements that don't form a coherent etymological path (French cascade → Italian cascata → French cascade → Latin -are, repeating). A proper etymology should trace back linearly through languages. This chain as presented seems malformed—it cycles back to French cascade multiple times and ends with incomplete Latin entries (just "-are" suffix fragments without root words). I cannot write an accurate one-sentence origin summary because the source chain doesn't provide a clear, linear etymological path from English cascade back through its ancestral languages. To do so responsibly, I would need: 1. A linear progression (English → earlier language → earlier language, etc.) 2. Complete word forms, not partial suffixes 3. Clarification of which cascata/cascade entries are actually distinct steps Could you verify the etymological chain? It may have a transcription error.

cascade (English): A waterfall or series of small waterfalls; A...