Mr. WILLIAM SMITH presented a petition from Thomas Lloyd, proposing to take, in short-hand, and publish the Debates of Congress at $1,000 per session salary. The expense of printing, &c. he estimated at $540, for which he would furnish the House with five hundred copies of that work; engaging to use every possible precaution, and pay prompt attention. Mr. S. referred to the unfavorable reception of a proposal of this nature at the last session, and supposed this would not be more successful; however, he moved that it be referred to a committee. The motion was agreed to, and Mr. W. SMITH, Mr. GALLATIN, and Mr. SWIFT, were appointed to examine the petition, and report thereon to the House. TUESDAY, December 6. Several other members, to wit: from Vermont, ISRAEL SMITH; from New Jersey, MARK THOMPSON; from Pennsylvania, RICHARD THOMAS; from Virginia, CARTER B. HARRISON, JOHN HEATH, and ABRAHAM VENABLE; and from North Carolina, JESSE FRANKLIN, WILLIAM BARRY GROVE, JAMES HOLLAND, and NATHANIEL MACON, appeared, and took their seats in the House. The SPEAKER observed, that, as there were several returns of new elections of members to serve in this session, it was proper that, pursuant to a rule of the House, a Committee of Elections be appointed. A committee was accordingly appointed, of Mr. VENABLE, Mr. SWIFT, Mr. DENT, Mr. DEARBORN, Mr. BLOUNT, Mr. MUHLENBERG, and Mr. A. FOSTER. Mr. MACON moved that a Committee of Revisal and Unfinished Business of last session be appointed, pursuant to the Standing Rules and Orders of the House, observing that, as the session would be but short, it would be necessary to be early in the appointment of committees. Whereon Mr. GILMAN, Mr. R. SPRIGG, Jr., and Mr. MACON were appointed. Notice was received that a quorum of the Senate was formed. On motion, it was, therefore, resolved, that a committee of three members be appointed to wait on the PRESIDENT OF THE UNITED STATES, in conjunction with a committee from the Senate, to inform him that a quorum of both Houses was assembled, and ready to receive any communications that he may please to make. Mr. AMES, Mr. MADISON, and Mr. SITGREAVES, were accordingly appointed. A message was received from the Senate informing the House that they had formed a quorum: whereupon the Clerk went to the Senate with the resolution of this House. The Secretary soon after returned, informing the House that the Senate had concurred in the resolution, and formed a committee for that purpose. Mr. AMES, from the committee appointed for that purpose, reported that the committee had waited on the PRESIDENT, who was pleased to signify to them that he would make a communication to both Houses of Congress to-morrow, at 12 o'clock, in the Representatives' Chamber. WEDNESDAY, December 7.