We have the sequel of the proceedings in the Chamber
of the French National Assembly on Thursday. 'At three o'clock the verification of the powers of the Deputies was completed. Among the returns admitted as valid, was that of M. Mithon, a naturalized Belgian. M. Demosthenes 01- Eyler proposed the taking of the oath of allegiance; but was interrupted by • cries of " The oath is abolished for ever!" M. Creruieux justified the abo-
- by the Provisional Government, from the scandals that the oath had caused in the past sixty years. His arguments and the abolition were ap- - proved by deafening applause from all the Chamber. A warm discussion arose on a proposal to re-proclaim the Republic; which M. Trelat denomi- nated a " scientific fact." General Courtais entered the Chamber, and con- veyed a complimentary request by the populace that the Government and Chambers should have the goodness to go out on the peristyle of the build- ing, and there proclaim the Republic before all Paris. The Chamber ac- -ceded with acclamations, and all sallied out. Every person of the As- sembly, some seven hundred Ministers and Representatives, could be seen by the vast concourse. The proclamation Of theRepublic was once more performed. The utmost order prevailed.
Yesterday the Assembly elected its President. The voters present were 727; the required majority was 364: the numbers were—M. Buchez, 383; Trelat, 234; M. Recurt, 91; M. Voirhaye, 5; M. Cormenin, 3. M. Buchez, the candidate of the Moderate party, was therefore declared Pre- sident.
The National states that the late events at Limoges have been much misrepresented' but it must wait to say more on the subject until the Government shall have published the accounts received from the local authorities.
A letter from Leghorn announces the artival of four French war-ships. The crews of these vessels number altogether 2,277 men. Vice-Admiral Baudin landed amidst shouts of applause from the population; to which he responded with cries of " Viva Mahe' "
Letters from Vienna, of the 30th April, have official reports of the out- break at Cracow on the 25th April. Barricades were raised; Baron Krieg was taken prisoner by the people, and compelled to rescind the order for stopping the ingress of emigrants into Genies. Count Castiglione headed the troops, and liberated Baron Krieg. Being wounded, the Count relin- quished the command to Baron Moltke. The town was bombarded from the citadel, and terribly chastized. The fight continued till seven in the evening of the 27th; the leaders of the Poles then capitulated on behalf of the city. A treaty was signed by Prince Stanislaus, Jablonowski, and Po- tocki, and the Austrian commanders, by which Cracow was to deport all foreigners in twenty-four hours, raze the barricades, deliver up all arms, and purify its National Guard. An amnesty was conceded on these terms.