Learning of the departure of a large body of troops, and of a strong fleet, from Toulon, but in entire ignorance of the object of their expedition, Nelson, after vainly seeking for them in the Archipelago, in the Adriatic, at Naples, and on the coasts of Sicily, at last learned with certainty that they had effected a landing in Egypt. He made all sail at once for Alexandria, determined to fight the French fleet the moment it was found, and wherever it might be. He found it at Aboukir bay, just to the eastward of Alexandria, on the 1st of August, 1798; and we shall now give a general sketch of what ensued, and after that the particulars of this important action--from both French and English sources. Although it was nearly six o’clock in the evening when the French fleet was discovered, Nelson resolved to attack immediately. Admiral Brueys’ fleet was moored in the bay, which forms a pretty regular semicircle, and had arranged his thirteen ships-of-the-line in a curved line, parallel with the shore; having upon his left, or western flank, a little island, called also Aboukir. Thinking it impossible that a ship-of-the-line could pass between this island and the last ship of his line, to take him in the rear, he contented himself with establishing upon the island a battery of twelve or fourteen guns; thinking, indeed, that part of his position so little liable to attack that he placed his worst vessels there. But with an adversary like Nelson, most formidable, not only for the brilliancy of his conceptions, but for the skillful audacity with which he carried them out, the precautions which under ordinary circumstances would have been sufficient proved of no avail. The British fleet comprised the same number of line-of-battle-ships as the French, but the latter had more smaller ships. The British Admiral advanced intrepidly to the attack; a portion of his ships taking a course between the French line and the coast. The Culloden, the leading English ship, ran upon a shoal, and stuck fast; but, although her batteries were thus thrown out of the engagement which followed, her mishap piloted the others in. The Goliath, the Audacious, the Theseus and the Orion succeeded in passing inside the French line; penetrating as far as the Tonnant, which was the eighth of the French line, and thus engaged the French centre and left. The rest of the English fleet advanced outside the French line, and so put the left and centre of it between two fires. The battle was a terrible one, especially at the French centre, where the French Admiral’s ship, L’Orient, was stationed. The Bellerophon, one of Nelson’s best ships, was dismasted, terribly cut up, and obliged to haul off; and other English ships so damaged that they were obliged to withdraw.