"projecting block or bracket from a building supporting a molding, balcony, etc.," 1660s, probably from cant (n.2) + lever, but earliest form (c. 1610) was cantlapper. First element also might be Spanish can "dog," architect's term for an end of timber jutting out of a wall, on which beams rested. Related: Cantilevered.
Frank Lloyd Wright liked to cantilever his buildings
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Canton