The following Journal of the 1st, 2d, and 3d days of August 1798, said to have been written by a French officer of high rank, will be found to comprehend a more just and animated picture of this grand naval engagement, and it's consequences, than could have been reasonably expected from what is usually seen of Gallic candour and impartiality. "The 1st of August 1798, wind west north-west, light breezes, and fair weather. The second division of the fleet sent a party of men on shore to dig wells. Every ship in the fleet sent twenty-five men, to protect the workmen from the continual attacks of the Bedouins and vagabonds of the country. At two in the afternoon, L'Heureux made the signal for twelve sail, west south-west; which we could easily distinguish, from the mast-heads, to be ships of war. The signal was then made, for all the boats, workmen, and guards, to repair on board their ships, which was only obeyed by a small number. At three o'clock, the admiral, not having any doubt that the ships in sight were the enemy, ordered the hammocks to be stowed for action; and directed L'Alert and Ruiller brigs of war to reconnoitre the enemy; who, we soon perceived, were steering for Bequier Bay, under a crowd of canvas, without observing any order of sailing. At four o'clock, we saw, over the fort of Aboukir, two ships, apparently waiting to join the squadron: without doubt, they had been sent to look into the port of Alexandria. We likewise saw a brig, with the twelve ships; so that they were, now, fourteen sail of the line, and a brig. L'Alert then began to put the admiral's orders into execution, viz. to stand toward the enemy till nearly within gun-shot, and then to manoeuvre, and endeavour to draw them towards the outer shoal lying off the island. But the English admiral, without doubt, had experienced pilots on board; as he did not pay any attention to the brig's track, but allowed her to go away, hauling well round all the dangers. At this time, a small boat, dispatched from Alexandria to Rosetta, voluntarily bore down to the English brig, which took possession of her, notwithstanding the repeated efforts of L'Alert to prevent it, by firing a great many shot at the boat. At five o'clock, the enemy came to the wind in succession. This manoeuvre convinced us, that they intended attacking us that evening. The admiral got the top-gallant yards across; but, soon after, made the signal, that he intended engaging the enemy at anchor. After this signal, each ship ought to have sent a stream-cable to the ship astern of her, and to have made a hawser fast to the cable about twenty fathoms in the water, and passed the opposite side to that intended as a spring; _this was not generally executed_. Orders were then given, to let