The Governor, Lieutenant Governor, Secretary of State, State Treasurer, State Controller, Attorney General, Surveyor General, Clerk of the Supreme Court and Superintendent of Public Instruction, to be elected at the first election under this Constitution shall each qualify and enter upon the duties of their respective offices on the first Monday of December succeeding their election and shall continue in office until the first Tuesday after the first Monday of January AD. Eighteen hundred and Sixty Seven, and until the election and qualification of their successors respectively.