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Italian word strada comes from Proto-Indo-European *streh3-, and later Latin strata (A paved road.)
*streh3- (Proto-Indo-European)
sterno (Latin)
(transitive) I cover, spread with, scatter with, bestrew with, besprinkle.. (transitive) I spread, stretch out, spread out.. (transitive) I stretch on the ground, cast down, strike down, prostrate.. (transitive, by extension) I knock to the ground, demolish, raze, level, flatten.. (transitive, of a road, path) I pave, cover.. (transitive, rare) I calm, still, moderate.
stratum (Latin)
A bed, couch. A bed-covering, coverlet, quilt, blanket. A horse-blanket, saddle-cloth. A pavement. A pillow, bolster.
strata (Latin)
A paved road.
strada (Italian)
Road, way.