Capable of being shaped, bent, or worked by heating and hammering in a forge.
From 'forge' (to shape metal by heating) + '-able' (suffix meaning capable of), with 'forge' deriving from Old French 'forge' and Latin 'fabrica'.
Blacksmiths knew that some metals are more forgeable than others—steel is forgeable, but cast iron is brittle, which is why medieval weapons were carefully chosen by metal type!
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