The bill to enable the President of the United States to take possession of the territories ceded by France to the United States, by the treaty concluded at Paris on the 30th of April last, and for other purposes, was read the second time and referred to Messrs. BRECKENRIDGE, DAYTON, and BALDWIN, to consider and report thereon. _Amendment to the Constitution._ Mr. BUTLER, from the committee, to whom was referred, on the 22d inst., the motion for an amendment to the Constitution of the United States, made report, which was read. Mr. DAYTON moved to strike out all which respected the appointment of a Vice President. He said the great inducements of the framers of the constitution to admit the office of Vice President was, that, by the mode of choice, the best and most respectable man should be designated; and that the electors of each State should vote for one person at least, living in a different State from themselves; and if the substance of the amendment was adopted, he thought the office had better be abolished. Jealousies were natural between President and Vice President; no heir apparent ever loved the person on the throne. With this resolution for an amendment to the constitution we were left with all the inconveniencies, without a single advantage from the office of Vice President. Mr. CLINTON.--The obvious intention of the amendment proposed by the gentleman from New Jersey, is to put off or get rid of the main question. It would more comport with the candor of the gentleman to meet the question fairly. Can the gentleman suppose that the electors will not vote for a man of respectability for Vice President? True, the qualifications are distinct, and ought not to be confounded; this will stave off the question till the Legislatures of the States of Tennessee and Vermont are out of session, and the object must be very obvious. Mr. DAYTON.--The custom of the gentleman from New York has been of late to arraign motives instead of meeting arguments; on Saturday he accused me of wishing to procrastinate, and now the same is repeated. The reasons of erecting the office are frustrated by the amendment to the constitution now proposed; it will be preferable, therefore, to abolish the office. Mr. CLINTON.--The charge of the gentleman from New Jersey is totally unfounded that I arraign motives, and do not meet arguments. On Saturday the gentleman accused me of precipitation; I am not in the habit of arraigning motives, as this Senate can witness, and the charge is totally untrue.