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1895, a medical hybrid coined from Latin-based quadri- "four" + -plegia, as in paraplegia, ultimately from Greek plege "stroke," from root of plessein "to strike" (see plague (n.)). A correct, all-Greek formation would be *tessaraplegia.
quadriplegia quad·ri·ple·gi·a (kwŏd'rə-plē'jē-ə, -jə)n. Paralysis of all four limbs. Also called tetraplegia.