Linguistic Excursion: Lines

"Line" has a few meanings, including cord, chunk of dialog, queue, boundary, drawn line, etc. 

"Line" comes from "classical Latin līnea (earlier līnia ), originally ‘linen thread’, a subst. use of līnea feminine of līneus (*līnius ) adjective, flaxen, < līnum flax = line n.1; " according to the OED ("line n.2," n. pag).

"Line" from "linen," linen from "flax" ("linum") ("line n.2," OED n. pag).