Tie evening aad tac night passed with- l

 out hostilties. Yesterday morning at
out hostilities. Yesterday morning at

 

 peat his solicitations. 1 answered by the annexed note, which desired him to deliver to the Dey, giving him at the time copy for the Commander in chief lof the land forces at noon tae Aige- rne colours were no longer displayed on the Cassauba, and some neighboring forts. We perceived our troops in no tion towards the city. At 40 minutes past two his Majesty's flag was flying on the palace of the Dcy, and success sively hoisted on all the forts and batte- sies. The squadron immediately saht- ed with 2l guns, amidstseiterated cries of "Vive le Roir'

 To day ! have just caused the Prov !ence to anchor under the walls of Al- giers. The other vessels, in two divis- ions, under Admiral Rosamel and Cap tain Ponce, arc cruising before the bays os of lsiirss ilalsl Sit ssseli llEeessE.is'el

 despateh5 without loss of time. the Spiynx steamboat, with Count Bour- mont's despatches and my own.

 My first care has been to claim our unfortunate prisoners belonging to the Silene and Ayenute; they have just been delivered up to Irc, and ] send them to France. They have suffered, since the lime of our landing, much more from the ezaspcratien of the pop uIaee than that of the Dey. NeVerthe- less none of those who escaped being massacred by the Arabs, and a list of whom has been sent to you, have sunk under their sulierings. Accept, fse.

 DUPEd,RE. N6teso the Dey of .4fgiers from Me .4a-

 n,iyGi.

 On board the Provence, July !.

 The undersigned Admiral, command er-in-chief of the Fleet of his Most Christian Majesty, in answer to the which have been made to him in the name of the Dey of H. gicrs, and which have too song suspend cd the progress of hostilties. declares that so long as the flag of the Regency is flying on the forts and city of Algiers, he can receive no farther cotamllaiea- tions, and eonsidersita in a state ef war.

 DUpERRE. 10 His Eaeetleaegthe President of the Coua-

 ct q Ministers.

 LA CAsAueA, July ,, 3'oclock, F. M.

 prinee-1'he opening of the fire be- fore the fort of the Emperor was de- ferresl til tha dth of July, in order that all the batteries might fire at once. l thought that, by striking awe into the enemy on the very first day, by | great in our fire, ] should abridge the duration of the operations.

 5Illie trenches we're opened on the night ilt i tss seats4l aats4l, after liesi tlle works were ngt interrupted a moment. Dur ing tue night, and even in tlc hours when the workmen are generally re- lieved, the enemy's artillery fred but little. During the day, the Turkish and Arab sharp-shooters, protected by the bushes, stefe into the rayines which were to tic left Of the attack. They wounded q pretty considerable number Of men; but the troops were soon cover Cd by epaulements.

 We have reason to expect vigorous sallies. l'he occupation of the fort of. the Emperor allowed the enemy to as- semble without danger before the Cas- auba. They did not profit by this ad- vantage. However, every thing was ready to give them good reception.

 The batteries had lreen erected with astonishing rapidity. Among the fwen- ty-six piecesoiarilfcry inthem, there were ten 2i pounders, six l6 poundcrs, four lGsineia nortars, and six Sinch llowitzers.

 All was ready before day-breal on tho 4th. At four clock in the morning a rocket gave the signal, and the firing commenced: that of the enemy replied for three hours with much briskness. The Turkish gunners, though the wide ness of the embrasures left them almost wholly exposed, remained brayely at their posts, but could not long contend against the skill and intrepidity of ours, whom General La Hitte animated by his example and counsel. At eight o'clock the firing ofthe fort was sileneed, that of our batteries continued to ruin the works. The order to make q breach had been given. and was beginning to be executed, when, at 10 o'clock, q dreadful explosion caused part of the fort to disappear. Torrents of flame, clouds of dust and smoke rose to a pro digious height; stones were thrown in all directions, but did not cause any SC. ] l.