His Majesty's ship Beaver arrived, two days since from Bahia. It seems that Madeira, unable to hold the place any longer, is resolved to leave it. He is pressed to the utmost by Lord Cochrane's squadron, which cuts off his provisions, and by continual alarms kept up on the coast, by His Lordship's own appearance from sea, and by the preparations he is making in the Reconcave for an attack with fire-ships and gun-boats on the town. It is expected, therefore, that Madeira will abandon the place as soon as he can get shipping together to embark the troops. It is asserted even that he has fixed the day, that of San Pedro, for evacuating the place. The following proclamation is certainly preparatory to his doing so; but as the time must depend on contingencies, it cannot be so certain:-- "Inhabitants of Bahia! "The crisis in which we find ourselves is perilous, because the means of subsistence fail us, and we cannot secure the entrance of any provisions. My duty as a soldier, and as governor, is to make every sacrifice in order to save the city; but it is equally my duty to prevent in an extreme case the sacrifice of the troops that I command, of the squadron, and of yourselves. I shall employ every means to fulfil both these duties. Do not suffer yourselves to be persuaded that measures of foresight are always followed by disasters. You have already seen me take such once before: they alarmed you; but you were afterwards convinced that they portended nothing extraordinary. Even in the midst of formidable armies, measures of precaution are daily used; because victory is not constant, and reverses should be provided against. You may assure yourselves, that the measures I am now taking are purely precautionary: but it is necessary to communicate them to you, because if it happens that we must abandon the city, many of you will leave it also; and I should be responsible to the nation and to the King, if I had not forewarned you. (Signed) "IGNACIO LUIZ MADEIRA DE MELLO. Head-quarters, Bahia, May 28. 1823."