"full of bends or curves, winding, sinuous," c. 1600, from Latin flexuosus, from flexus (n.) "a bending," from flectere "to bend" (see flexible). From 1620s as "undulating."
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flexible adj.
early 15c., "capable of being bent; mentally or spiritually pliant," from Old French flexible or directly from Latin flexibilis "that may be bent, pliant, flexible, yielding;" figuratively "tractable, inconstant," from flex-, past participle stem of flectere "to bend," which is of uncertain origin. Flexile (1630s) and flexive (1620s) have become rare. Related: Flexibly. Coles' dictionary (1717) has flexiloquent "speaking words of doubtful or double meaning."