In conformity with the summons from the President of the United States, the Senate assembled in the Chamber of the House of Representatives. PRESENT: JOHN MILLEDGE, from the State of Georgia, President _pro tempore_. NICHOLAS GILMAN, and NAHUM PARKER, from New Hampshire. TIMOTHY PICKERING, from Massachusetts. CHAUNCEY GOODRICH, from Connecticut. ELISHA MATHEWSON, from Rhode Island. STEPHEN R. BRADLEY, from Vermont. JOHN SMITH, from New York. AARON KITCHEL, from New Jersey. ANDREW GREGG, from Pennsylvania. JAMES A. BAYARD, from Delaware. PHILIP REED, from Maryland. WILLIAM B. GILES, from Virginia. JAMES TURNER, and JESSE FRANKLIN, from North Carolina. THOMAS SUMTER, and JOHN GAILLARD, from South Carolina. WILLIAM H. CRAWFORD, from Georgia. BUCKNER THRUSTON, and JOHN POPE, from Kentucky. DANIEL SMITH, from Tennessee. EDWARD TIFFIN, from Ohio. JOHN LAMBERT, appointed a Senator by the Legislature of the State of New Jersey for six years, and SAMUEL SMITH, appointed a Senator by the Executive of the State of Maryland, attended, and their credentials were read. JAMES LLOYD, junior, appointed a Senator by the Legislature of the State of Massachusetts, attended, stating that he was elected, but not in possession of his credentials. JOSEPH ANDERSON, from the State of Tennessee; RICHARD BRENT, from the State of Virginia; JAMES HILLHOUSE, from the State of Connecticut; MICHAEL LEIB, from the State of Pennsylvania; RETURN J. MEIGS, from the State of Ohio; JONATHAN ROBINSON, from the State of Vermont; SAMUEL WHITE, from the State of Delaware, severally attended. The oath required by law was administered to the Senators above mentioned, in the six years' class, respectively, except to MR. BRENT. The PRESIDENT OF THE UNITED STATES attended, and communicated the following ADDRESS: Unwilling to depart from examples of the most revered authority, I avail myself of the occasion now presented, to express the profound impression made on me by the call of my country to the station, to the duties of which I am about to pledge myself by the most solemn of sanctions. So distinguished a mark of confidence, proceeding from the deliberate and tranquil suffrage of a free and virtuous nation, would, under any circumstances, have commanded my gratitude and devotion, as well as filled me with an awful sense of the trust to be assumed. Under the various circumstances which give peculiar solemnity to the existing period, I feel that both the honor and the responsibility allotted to me are inexpressibly enhanced.