(a) All libraries, corporations, institutes, appointments, polls, bylaws, instruments, and generally all acts of authority which originated under any of the said enactments, and are subsisting or in force on the coming into operation of this Act, shall enure for the purposes of this Act as fully and effectually as if they had originated under the corresponding provisions of this Act, and accordingly shall, where necessary, be deemed to have so originated:
Provided that every such corporation shall be deemed to be the same corporation under this Act, without change of corporate entity or otherwise:
Provided also that in the case of trustees elected or appointed for a specified term the current term shall be computed from the date of its commencement: