Algiers.
tFron the fami0isirTereerapA. tn bunday afterlnoon last, His Majestv's stearn-vejselJ Lig,htning returned to this port, from Algiers. The fol-' lowingextract from a letter fromn an officer supplies some interesting particulars of the means taken to obtain the submissioa of the Dey to our demands: e" Algiers Road, July 26. " gThe Laintt g steam-vessel parts company to-day, with the Admiral's despatches, for EngliLnd. I must acquaint you how div.- appointed we all are here at the termiriatiohof our afFair with the Dey. On the 24th inat. the last of the bomb-vessela arrived fronm England, and every preparation bhmg completed, we yesterday took up our stations (21 nail), in a double line, before the town, at the distance of about 3,560 yards of thie Lighthouse-the Etna lcading. The arrangements were excellently made, and our orders well le- i fined; and, so far, promised success. About four o'clock, on an- choring, the enemy opened their fire along their whole lineof fhrtified works, bysiKnal from the Palace, shells fell overour ships in all direc- tions; wc had noorders tofire,but we perceived that our Admiral hoist- ed a flag of truce, upon which the enimy'sfiringceased; negotiations were opened, which wiere continued until the evening, and thi morn- ing the treaty was concludedand signed. TheAdmiial of the Port, and some of the Chiefs went on board the Rcvenge, to ratify the treaty with AMr. Macdonald. A salute has been fired in celebration of the event by tbe city of Alelers, and returned by the same number of guns by the Admiral's ihip, the Pcvenge. We understand.the Dek has made something like an apologv to the King of England, for the insult offered to the British Consuf's flag, has agreed to faithfully observe all the terms in the Exmoath treaty, and consented that lr. Macdonald, the Consul, shall return to his public duty. But, having accompanied his expretsions of personal disposition respect- ing Alr. Macdonald, with a declaration of irresponsibility for his life, should he put his foot on shore again, that gentlemun has not thought proper, for the present, to resulme his station; but Mr. Durnford, the Secretary's Clerk of the Revcnge, (Mr. Sconce, the Secretarv, havlng declined the honour,) ha%s been appointed Pro- Consul, aud interim The result is, that M.Ir. Alacaonald will return to h2altat in the Reenge. The bombs vwere all ready to commence firing, had the treaty not bean signed."' ALG7IRRS.