Nelson, who had returned to England, by the 15th of September was on board of his old flagship, the Victory, and immediately sailed for Cadiz, accompanied only by three other ships of war. On the 29th he arrived off Cadiz, and was received by the fleet with enthusiastic acclamation. It was his birthday. He posted himself about twenty leagues to the west of Cadiz, in hope that the French fleet would come out. He knew that it was in great distress for provisions, because Napoleon, intending the fleet to assemble at Brest, had laid in the necessary stores there, and could not convey them, in any reasonable time, to Cadiz. Still more, it was believed that Napoleon refused to send any supplies there, having given Villeneuve imperative orders to make his way to Brest. But it is also asserted, by French authorities, that Napoleon had ordered the Minister of Marine to take the command from Villeneuve, and that the admiral was piqued to show the Emperor, by a daring exploit, that he had done him injustice. Under these or similar motives, Villeneuve determined to sail out, and encounter the British fleet. Nelson was watching for him behind Cape St. Mary, like a cat watching a mouse, as he said in a letter to the Abb Campbell, of Naples, a friend of his and of Lady Hamilton's. On the 9th of October, certain that the enemy would soon come out, Nelson sent to Lord Collingwood his plan of the battle. It was to advance in two lines of sixteen ships each, with an advanced squadron of eight of the fastest-sailing two-decked ships. They were thus to break the enemy's line in three places at once. Nelson was to aim at the centre; Collingwood, leading the second line, to break through at about the twelfth ship from the rear; and the light squadron, at three or four ships from the centreNelson's point of attack. "I look," wrote Nelson, "with confidence to a victory before the van of the enemy can succour their rear; and then the British fleet will, most of them, be ready to receive their twenty sail of the line, or to pursue them, should they endeavour to make off. If the van of the enemy tack, the captured ships must run to the leeward of the British fleet; if the enemy wear, the British must place themselves between them and the captured and disabled British ships, and, should the enemy close, I have no fear for the result. The second in command will, in all possible things, direct the movements of his line by keeping them as compact as the nature of the circumstances will admit. Captains are to look to their particular line as their rallying-point; but, in case signals cannot be clearly seen or understood, no captain can do very wrong if he places his ship alongside that of the enemy!" Such were Nelson's general orders, and they were entirely approved by Lord Collingwood.Even now, had the Russians and Austrians possessed the spirit which the circumstances of the time demanded of them, they were far from being in a hopeless condition. Buonaparte was at an immense distance from his country. Besides the army still remaining with the two Emperorsat least sixty thousand in numberthere were the strong forces of the Archdukes Charles and John in Hungary, and of Prince Ferdinand in Bohemia. By bold and skilful man?uvres they might have cut off his communications with France and Italy, and have harassed him, without committing themselves to a decided battle, till he must have found himself in a most perilous position. But Francis of Austria gave up the struggle in despair; he sent Prince John of Lichtenstein to propose a suspension of arms. Buonaparte insisted that they should first break with the Russians, and Lichtenstein said that Francis was quite willing, and to treat with Napoleon for a separate peace, but that he must claim for the Emperor Alexander the privilege of retreating into his own country without molestation. Buonaparte granted this as a favour, and added words so complimentary to Alexander, that they betrayed a wish to complete an agreement also with him. He returned to Vienna, and again occupied the palace of Sch?nbrunn. There he and Talleyrand concerted the demands which should be made; and an armistice was signed, on these terms, with Prince John of Lichtenstein, on the 6th of December. The final treaty was signed by the Emperor Francis, at Pressburg, on the 26th of December, a fortnight after Austerlitz. By this treaty Austria surrendered to Buonaparte all her territories in Italy, as well as her Venetian provinces of Dalmatia and on the coast of Albania. She surrendered her only seaport on the Adriatic, Trieste, and thus reduced herself to a mere inland power. She was compelled to cede to her rival, Bavaria, the Tyrola country most faithfully attached to the House of Hapsburg,the bishopric of Passau, and other regions. Bavaria and Würtemberg, for their hostility to their own German race, were elevated into kingdoms, and Baden, for the same unpatriotic services, into a grand duchy. Thus France and her allies, or rather subjects, were now in possession of Switzerland, Italy, and the Tyrol on one side, and of Holland and Belgium on the other, so that she had everywhere an open high road into Germany,[507] and nations of tributary princes, which were to aid in further enslaving it. Prussia had made up her mind on hearing of the victory of Austerlitz, and Haugwitz appeared at Sch?nbrunn, not to declare war on Buonaparte, but to compliment him on his victory. Buonaparte could not conceal his contempt for this despicable conduct. He said, "Ah! this compliment was intended for others, but fortune has transferred it to me;" but as he still intended to make use of Prussia, and could humiliate George III. by her means, he concluded a treaty with Haugwitz, by which he handed over Hanover to our late ally, and claimed Anspach in lieu of it. He then strengthened the Confederation of the Rhine, of which he was Protector, and so completely broke up the old federation of Germany, that Francis of Austria soon abandoned the title of Elective Emperor of Germany, and assumed that of Hereditary Emperor of Austria.The troops of Austria were already in Bavaria on the 21st of August. They amounted to eighty thousand men, under the nominal command of the Archduke Ferdinanda prince of high courage and great hopesbut really under that of General Mack, whose utter incapacity had not been sufficiently manifested to Austria by his miserable failures in the Neapolitan campaign, and who was still regarded in Germany as a great military genius. His army had been posted behind the Inn, in the country between the Tyrol and the Danube, into which the Inn falls at Passau. This was a strong frontier, and had the Austrians waited there till the arrival of the Russians, they might have made a powerful stand. But Mack had already advanced them to the Lech, where again he had a strong position covering Munich. Meanwhile, the Archduke Charles, Austria's best general, was posted in the north of Italy, with another eighty thousand men, and the Archduke John in the Tyrol with an inferior force. Such were the positions of the Austrian armies when Mack was invading Bavaria, and Buonaparte was preparing to crush him.DR. CHALMERS. (After the Portrait by John Faed, R.S.A.)