§ 38. Terms of officers chosen to fill vacancies. If an appointment of
a person to fill a vacancy in an appointive office be made by the
officer, or by the officers, body or board of officers, authorized to
make appointment to the office for the full term, the person so
appointed to such vacancy shall hold office for the balance of the
unexpired term. The term of office of an officer appointed to fill a
vacancy in an elective office, shall be until the commencement of the
political year next succeeding the first annual election after the
happening of the vacancy, if the office be made elective by the
constitution, or at which the vacancy can be filled by election, if the
office be otherwise made elective.