Mr. W. SMITH said, if they refused to make the appropriation under consideration, they declared that one of the two companies of cavalry should act as infantry. By the bill passed yesterday, it was left altogether to the option of the PRESIDENT to employ them either as cavalry or infantry: but if this appropriation was withheld, he would be under the necessity of employing them as infantry only, and this House would now exercise a discretion which only yesterday they had vested in the Executive. It would be observed, that, in the message of the PRESIDENT, he had fully stated the reasons why dragoons would be requisite. The business upon which one of the companies was at present employed was to escort the Commissioners employed in running the boundary lines betwixt the territory of the United States and the Indians; the other was indispensable for the protection of the frontiers. What, Mr. S. asked, would be the consequence of refusing this appropriation? One of the companies of dragoons would be obliged to act as infantry, and Government would be compelled to employ militia-horse at a great expense. If this was economy, he was mistaken in his ideas of economy. The sum was conformable to the estimate which he had received from the War Office. Mr. HARTLEY was in favor of the appropriation, that the PRESIDENT might be at full liberty to employ the troops on foot or on horse-back, according as the service might require. Mr. NICHOLAS thought, while they were making appropriations, this subject might as well be included. If these men were to be kept, they ought to be properly equipped. He said it was the opinion of the PRESIDENT and the Secretary of War that cavalry was necessary, and therefore he had concluded it would be proper, and wished them to be kept up, so as to be called into service whenever necessary. Mr. MILLEDGE thought there was great need of cavalry; it would be an object of policy, as, by information he had received from the Governor of Georgia, (which he had in his hand, and which was corroborated by a late Governor,) horse were absolutely necessary--he thought three companies--on the frontier. He therefore was in favor of the appropriation.