By the action of Congress during the past month, therefore, bills have been passed upon all the topics which have agitated the country during the year. The bill in regard to the Texas boundary provides that the northern line shall run on the line of 36° 30’ from the meridian of 100° to 103° of west longitude—thence it shall run south to the 32d parallel of latitude, and on that parallel to the Rio del Norte, and in the channel of that river thence to its mouth. The State of Texas is to cede to the United States all claims to the territory north of that line, and to relinquish all claim for liability for her debts, &c., and is to receive from the United States as a consideration the sum of ten millions of dollars. The law will, of course, have no validity unless assented to by the State of Texas. No action upon this subject has been taken by her authorities. Previous to the passage of the bill, the Legislature of the State met in special session called by Governor BELL, and received from him a long and elaborate message in regard to the attempt made, under his direction, to extend the laws and jurisdiction of Texas over the Santa Fé district of New Mexico, and to the resistance which he had met from the authorities of the Federal Government. After narrating the circumstances of the case, he urges the necessity of asserting, promptly and by force, the claim of Texas to the territory in question. He recommends the enactment of laws authorizing the Executive to raise and maintain two regiments of mounted volunteers for the Expedition. A bill was introduced in conformity with this recommendation; but of its fate no reliable intelligence has yet been received.—A resolution was introduced into the Texas Legislature calling upon the governor for copies of any correspondence he might have had with other states of the Confederacy, but it was not passed. A letter has been published from General QUITMAN, Governor of Mississippi, stating that in case of a collision between the authorities of Texas and those of the United States, he should deem it his duty to aid the former.—Hon. THOS. J. RUSK, whose term as U.S. Senator expires with the present session, has been re-elected by the Legislature of Texas receiving 56 out of 64 votes. He voted in favor of the bill of adjustment, and his re-election by so large a majority is looked upon as indicating a disposition on the part of the authorities to accept the terms proposed.—Both Houses of Congress have agreed to adjourn on the 30th of September.