1736 Canting Dictionary / D / DROP a Cog [money]
to let fall (with Design to draw in and cheat) a Piece of Gold; also the Piece itself.
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Entry taken from 1736 Canting Dictionary, by Nathan Bailey.
Drop a Cog in the 1811 Vulgar Tongue
Also see examples in Canting Songs and Slang Rhymes collected by John S. Farmer (1896).