If the Constitutions formed for both North Dakota and South Dakota shall be rejected by the people at the elections for the ratification or rejection of their respective Constitutions as provided for in this act, the territorial government of Dakota shall continue in existence the same as if this act had not been passed. But if the Constitution formed for either North Dakota or South Dakota shall be rejected by the people, that part of the territory so rejecting its proposed Constitution shall continue under the territorial government of the present territory of Dakota, but shall, after the state adopting its Constitution is admitted into the union, be called by the name of the territory of North Dakota or South Dakota, as the case may be; provided, that if either of the proposed states provided for in this act shall reject the Constitution which may be submitted for ratification or rejection at the election provided therefor, the Governor of the territory in which such proposed Constitution was rejected shall issue his proclamation reconvening the delegates ejected to the convention which formed such rejected Constitution, fixing the time and place at which said delegates shall assemble; and when so assembled they shall proceed to form another Constitution or to amend the rejected Constitution, and shall submit such new Constitution or amended Constitution to the people of the proposed state for ratification or rejection, at such time as said convention may determine; and all the provisions of this act, so far as applicable, shall apply to such convention so reassembled and to the Constitution which may be formed, its ratification or rejection, and to the admission of the proposed state.