RICHARD PETERS, esq. Reporter of the Supreme Court of the United States, has published, in an octavo volume of nearly three hundred pages The Case of the Cherokee Nation against the State of Georgia, as it was introduced, argued, and determined, in that Court, at the last January term. The contents of the volume are- the Bill filed on behalf of the Cherokee Nation; the Supplemental Bill; the arguments of Mr. Sergeant and Mr. Wirt; the Opinion of the Court, as delivered by Chief Justice Marshall; the several opinions of Mr. Justice Johnson and Mr. Justice Baldwin, and the Dissenting Opinion of Mr. Justice Thompson, concurred, in by Mr. Justice Story. Mr. Peters has given a very useful Appendix of documents, including the Treaties, Acts of Congress, Acts of the Legislature of Georgia, and a Judicial Opinion, to which reference has been made in the Cherokee Question.