Green’s Dictionary of Slang

continent n.

[? link to continental n.]

(US) a euph. for hell, e.g. what the continent do you mean by that?

[UK]J. Ware Passing Eng. of the Victorian Era 90/2: Continent (Amer., 1880). The latest shape of oath in the States; e.g., ‘What the continent do you mean by it?’.