Mr. VARNUM said it was observed by gentlemen that those troops were not mounted; if so, there must have been a very lavish waste of money. However that might be, gentlemen who state this matter ought to state it fairly. They ought not to say that two companies of cavalry were yesterday voted. No, they were part of the old War Establishment. It was true, the House had not the power to repeal the law; but one thing was in their power, and that they ought to do, if they see this part of the standing army necessary. The constitution returns the power to act on it once in every two years to each branch of the Legislature. The House, he thought, had good right to exercise their own opinion on the necessity of mounting these men. It was not in the power of one branch to repeal the law which keeps these men, but we ought to consider whether they are to be put in the same situation as in time of war. Mr. V. said he discharged his duty in voting against this appropriation. The House had a right to judge, and it was not in the power of the PRESIDENT to act for them. Mr. HEATH said that the subject had been fully discussed, and therefore he should only observe, that, from the authority which had recommended the mounting of these cavalry, he should vote for the appropriation. Mr. MILLEDGE repeated his arguments on the local situation of the country, and asserted the absolute necessity of the troops. The motion was put and carried--there being 56 in favor of it. _Naval Appropriations._ Mr. W. SMITH then proposed to add $172,000 for finishing the frigates United States, Constitution, and Constellation. Mr. NICHOLAS said he should be against appropriating so large a sum for this purpose. It was the sense of the House, on a former occasion, that it would be proper to appropriate such a sum as should put them in such a situation as to secure them from injury, but to stop short of making them fit for sea, that the expense of manning them might be avoided.