TWO:On the 23rd of October Napoleon reached Erfurt, whose fortifications afforded him the means of two days' delay, to collect his scattered forces. As they came straggling in, in a most wretched condition, and without arms, his patience forsook him, and he exclaimed, "They are a set of scoundrels, who are going to the devil! I shall lose[72] eighty thousand before I get to the Rhine!" In fact, he had only eighty thousand men left, besides another eighty thousand in the garrisons in the north of Germanythus also lost to him. Of his two hundred and eighty thousand men, had utterly perished one hundred and twenty thousand. He sent orders to those in the garrisons to form a junction in the valley of the Elbe, and so fight their way home; but this was not practicable; and in a few months they all surrendered, on conditions. He here dismissed such of the Saxons and Baden troops as remained with him, and offered the same freedom to the Poles; but these brave menwith a generosity to which the betrayer of their country had no claimrefused to disband till they had seen him safe over the Rhine. Murat, with less fidelity, took his leave again, on the plea of raising troops on the frontiers of France to facilitate Napoleon's retreat, but in reality to get away to Naples and make terms for himself.
THREE: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.
THREE:Lower Canada was inhabited chiefly by French Canadians, speaking the French language, retaining their ancient laws, manners, and religion, wedded to old customs in agriculture, and stationary in their habits. Of its population, amounting to 890,000 in 1852, nearly three-fourths were of French origin, the remainder being composed of emigrants from Great Britain and Ireland and other countries, while in Upper Canada the number of French was under 27,000. Lower Canada, however, might have been expected to make much more rapid progress from its natural advantages in being much nearer to the seaboard of the Gulf of St. Lawrence, and being enabled to monopolise much of the ocean navigation, which terminated at Montreal. Thus, the cities of Quebec and Montreal rose quickly into importance when the Upper Province began to be settled. In 1827 the cities had each a population of above 27,000; but by the census of 1852 it was found that Quebec had a population of 42,000, and Montreal 57,000. The growth of the towns of Upper Canada was still more rapid. In 1817 Toronto, then called Little York, had only 1,200 inhabitants; in 1826 it had scarcely 1,700; but in 1836 it had risen to 10,000. Among the other principal towns of Upper Canada were Hamilton, Kingston, London, and Bytown (now called Ottawa), which grew rapidly. Situated so near Europe, and offering inexhaustible supplies of fertile and cheap land, with light taxes and a liberal government, it was natural to expect in Upper Canada a mixed population, and an analysis of the census of 1852 showed that its inhabitants were composed of people from most of the countries of Europe. The largest single element was composed of Canadians, not of French origin, upwards of half a million; the next of Irish, 176,267; then English, 82,699; Scottish, 75,811; from the United States, 43,732; Germany and Holland, 10,000. Many of those settlers emigrated from the old countries to avoid the pressure of distress. They consisted, to a large extent, of the worst paid classes of workmen, such as hand-loom weavers, that had lost employment by the introduction of machinery. Those persons were now found to be in the enjoyment of independence, as the proprietors of well-cleared and well-cultivated farms, having all the necessaries of life in abundance.The way having been thus prepared, Mr. O'Connell proceeded to the scene of the contest. On the day of his departure his carriage, with four horses, drove into the yard of the Four Courts, where he had been engaged on an important trial. Having concluded his address to the judges, he put off his wig and gown, and proceeded through the hall, where he was followed by the lawyers and the persons from the different courts, so that the judges were deserted. Stepping into his open barouche, accompanied by Mr. P. O'Gorman, secretary of the Association, Mr. R. Scott, solicitor, and Father Murphy, the celebrated parish priest of Corrofin, he drove off amidst the cheers of all present. The greatest possible excitement prevailed along the whole route, and he enjoyed an ovation at every town he passed through. At Ennis, though he entered the town by daybreak, the traders and the inhabitants turned out in procession to meet him. Priests swarmed in all the streets, and in every face there was an unconcealed expression of joyous and exulting triumph.