Until the beginning of the nineteenth century the state of mathematical science was very low in England. The commencement of a better era originated with Woodhouse at Cambridge and Playfair in Edinburgh, by both of whom the Continental methods were introduced into the studies of their respective Universities. About 1820 the translation of La Croix's "Differential Calculus," superintended by Sir John Herschel and Dean Peacock, came into use as a text-book. Soon afterwards the writings of Laplace and Poisson were generally read in the Universities; and a few men of active and daring minds, chiefly of the Cambridge school, such as Professor Airy and Sir John Lubbock, grappled with the outstanding difficulties of physical astronomy; whilst a larger number applied themselves to the most difficult parts of pure analysis, and acquired great dexterity in its use, in the solution of geometrical and mechanical problems.
This Act, however, merely gave Bolingbroke the right to come back and live in security in England. His ambition could only be satisfied by the restoration of his estates and honours. Unfortunately for him, when he arrived in England, the king had sailed for Hanover, attended by Townshend and Carteret, and his great patroness, the Duchess of Kendal. He waited, therefore, on Walpole, who promptly rejected his offers. Mortified at this repulse, Bolingbroke returned to Paris, where a field of action had opened in which he was well calculated to figure.So soon as the House of Commons assembled, and before the Speaker read the Speech which had been delivered from the Throne, Mr. Brougham made the first significant move in the game that was about to be played, by announcing[322] that he would that day fortnight submit to the House a proposition on the great question of Parliamentary Reform. Having determined to give notice of his intention when there was a question before the House, he was enabled to accompany his notice with an explanation. This was his explanation:"He had," he said, "by one party been described as intending to bring forward a very limited, and therefore useless and insignificant, plan; by another, he was said to be the friend of a radical, sweeping, and innovating, and, I may add, for I conscientiously believe it would prove so, a revolutionary reform." Both these imputed schemes he disavowed. "I stand on the ancient way of the Constitution." To explain at that moment what the details of this plan were to be would have then been inconvenientwas, indeed, impossible. "But," said Mr. Brougham, "my object in bringing forward this question is not revolution, but restorationto repair the Constitution, not to pull it down." This notice was a master-stroke of policy.
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[See larger version]If there wanted anything to prove the truth of Lord Wellington's warnings to the Spanish authorities of the undisciplined condition of their armies, and the incompetency of their generals, it came quickly. Whilst they continued to treat him more like an enemy than a friend, and had issued orders throughout the province where he lay, forbidding the sale of provisions and forage for his army, their own armies were again annihilated. The army of Venegas, which had retreated, on the advance of Sebastiani towards Madrid, into the Sierra Morena, had been taken from him, and given to a young, inexperienced man, General Areizaga. Cuesta, also, had been set aside for one still more incapable, a General Eguia, of whom Lord Wellington had already pronounced that he was a fool. Areizaga, instead of maintaining his strong post in the hills, being joined by the greater part of the army of Estremadura, now commanded by Eguia, imagined that he could beat the united forces of Mortier and Sebastiani, and drive them out of Madrid. With fifty thousand men and sixty pieces of artillery he descended from his hills into the open plains of Oca?a, where he was beaten on the 20th of November, with the loss of all his artillery but five guns, his baggage, military chest, provisions, and everything. There was immense slaughter of his soldiers, and the rest fled into the mountains. The Duke del Parque, who was placed for the protection of the line of the Tagus with another large army, was marching to support this intended conquest of Madrid, when, in the month of October, being strongly posted on the heights of Tamames, he encountered General Marchand, and defeated him. Elated by this success, he no longer trusted to hills and strong positions, but, like Areizaga, advanced boldly into the plains, and on the 28th of November he encountered Kellermann at Alba de Tormes, and received a most thorough defeat. His men, both cavalry and infantry, scarcely stayed to cross swords or bayonets with the French, but, flinging down their arms, and leaving all their baggage and artillery behind them, they fled in every direction. Kellerman pursued and cut them down without mercyaccording to his own account, killing three thousand men and making three hundred prisoners.But the matters most important, and in which the Rockingham Ministry succeeded the best, were those of attempting to accomplish the peace with America, and with the Continental nations, on which they had so long and so loudly insisted. Fox first tried his diplomatic genius with the Dutch, whom he could, as he boasted, soon conciliate; but, to his infinite chagrin, that calculating people were so elated by the recent ill success of the English, and relied so completely on the powerful fleets of France and Spain to protect their trade and islands, that they returned a contemptuous answer, declaring that they could not treat without their allies. Still more mortifying was his repulse by the Americans. His offers of negotiations for peace were received with a haughty indifference by Congress, and he was[292] again referred to France. Fox now had recourse to the mediations of Russia and Prussia. But Frederick the Great declined to intervene, and the Czarina Catherine coupled her offers of alliance with conditions which the king and the majority of the Cabinet refused to accept, though Fox thought they were reasonable.General Cartaux arrived and took up his position in the villages around Toulon. He was reinforced by General Doppet, from the Rhone, and General Dugommier, from the Var; and the latter had in his corps-d'arme a young lieutenant of artillery, who contained in his yet unknown person the very genius of warnamely, Napoleon Buonaparte. Cartaux was a man who had risen from the ranks; Doppet had been a physician in Savoy; and Dugommier was acting on a plan sent from the Convention. Buonaparte suggested what he thought a much superior plan. "All you need," he said, "is to send away the English; and to do that, you have only to sweep the harbour and the roadstead with your batteries. Drive away the[423] ships, and the troops will not remain. Take the promontory of La Grasse, which commands both the inner and outer harbour, and Toulon will be yours in a couple of days." On this promontory stood two forts, Equilette and Balaquier, which had been much strengthened by the English. It was resolved to assault these forts, and batteries opposite to them were erected by the French under Buonaparte's direction. After much desperate fighting, vast numbers of troops being pressed against the forts, that of Balaquier was taken. This gave the French such command of the inner harbour, that Lord Hood called a council of war, and showed the necessity of retiring with the fleet, and thus enabling the Royalists to escape, who would otherwise be exterminated by their merciless countrymen. This was agreed to, and it was resolved to maintain the different forts till the ships had cleared out. The Neapolitans behaved very ill, showing no regard for anything but their own safety. They held two fortsone at Cape Lebrun, and the other at Cape Lesset; these, they said, they would surrender as soon as the enemy approached. They made haste to get their ships and men out of harbour, leaving all else to take care of themselves. The Spaniards and Piedmontese behaved in a much nobler manner. They assisted willingly all day in getting on board the Royalistsmen, women, and children. All night the troops began to defile through a narrow sallyport to the boats under the guns of the fort La Malaga. This was happily effected; and then Sir Sidney Smith, who had recently arrived at Toulon, and had volunteered the perilous office of blowing up the powder-magazines, stores, arsenals, and the ships that could not be removed, began his operations. He succeeded in setting fire to the stores and about forty ships of war that were in the harbour.