Etymology
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rill (n.)

"small brook, rivulet," 1530s, from or related to Dutch and Frisian ril, Low German rille "groove, furrow, running stream," probably from Proto-Germanic *ril- (source also of Old English rið, riþe "brook, stream," which survives only in dialects), a diminutive form from PIE root *rei- "to run, flow."

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Definitions of rill

rill (n.)
a small stream;
Synonyms: rivulet / run / runnel / streamlet
rill (n.)
a small channel (as one formed by soil erosion);
From wordnet.princeton.edu