1570, from L.L. trapezium, from Gk. trapezion "irregular quadrilateral," lit. "a little table," dim. of trapeza "table," from tra- "four" (see four) + peza "foot, edge," related to pous (see foot). Before 1546, L. editions of Euclid used the Arabic word helmariphe. As the name of a bone in the wrist, it is recorded from 1840.
1706, "a trapezium," from Mod.L. trapezoides, from Late Gk. trapezoeides (Proclus), special use by Euclid of Gk. trapezoeides "trapezium-shaped," from trapeza, lit. "table" (see trapezium), + -oeides "shaped." Technically, a quadrilateral figure with no two sides parallel. But in Eng. since c.1800, often confused with trapezium in its sense of "a quadrilateral figure having only two sides parallel."