In the House of Representatives, no business of importance has been transacted. The Civil and Diplomatic Appropriation Bill has been discussed, and efforts have been made to change the existing rules of the House so as to facilitate public business; but nothing important has been done.--On the 6th of August President FILLMORE sent to the House a Message, transmitting a letter he had received from Governor BELL, of Texas, announcing that he had sent a commissioner to extend the laws of Texas over that part of New Mexico which she claims, and that he had been resisted by the inhabitants and the United States military authorities. The President says in his Message that he deems it his duty to execute the laws of the United States, and that Congress has given him full power to put down any resistance that may be organized against them. Texas as a state has no authority or power beyond her own limits; and if she attempts to prevent the execution of any law of the United States, in any state or territory beyond her jurisdiction, the President is bound by his oath to resist such attempts by all the power which the Constitution has placed at his command. The question is then considered whether there is any law in New Mexico, resistance to which would call for the interposition of the Executive authority. The President regards New Mexico as a territory of the United States, with the same boundaries which it had before the war with Mexico, and while in possession of that country. By the treaty of peace the boundary line between the two countries is defined, and perfect security and protection in the free enjoyment of their liberty and property, and in the free exercise of their religion, is guaranteed to those Mexicans who may choose to reside on the American side of that line. This treaty is part of the law of the land, and as such must be maintained until superseded or displaced by other legal provisions; and if it be obstructed, the case is regarded as one which comes within the provisions of law, and which obliges the President to enforce these provisions. "Neither the Constitution or the laws," says Mr. FILLMORE, "nor my duty or my oath of office, leave me any alternative, or any choice, in my mode of action." The Executive has no power or authority to determine the true line of boundary, but it is his duty, in maintaining the laws, to have regard to the actual state of things as it existed at the date of the treaty--all must be now regarded as New Mexico which was possessed and occupied as New Mexico by citizens of Mexico at the date of the treaty, until a definite line of boundary shall be established by competent authority. Having thus indicated the course which he should pursue, the President expresses his earnest desire that the question of boundary should be settled by Congress, with the assent of the government of Texas. He deprecates delay, and objects to the appointment of commissioners. He expresses the opinion that an