The determination of the Court of Appeal of New Zealand on any appeal from the High Court under Article 51 of this Constitution shall be transmitted to the Registrar of the High Court by the Registrar of the Court of Appeal under the Seal of the Court of Appeal, and judgment shall thereupon be entered by the High Court in conformity with that determination, or such other proceedings by way of new trial or otherwise shall be taken in the High Court as are required by that determination.