'bandsaw' originates from English as a compound of 'band' and 'saw'; 'band' ultimately comes from Old Norse 'band' meaning 'a strip' and 'saw' from Old English 'sagu' meaning 'a cutting tool'.

'bandsaw' appeared in 19th-century English to name the machine made from a continuous band of metal; the verb 'to bandsaw' developed by conversion from the noun, and 'bandsawed' is the past/past-participle form of that verb.

Initially, it meant 'a saw composed of a continuous band' (the tool itself), but over time it also developed the verbal sense 'to cut with a bandsaw'; 'bandsawed' therefore denotes something that has been cut in that way.