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 was only interrupted by the cries of " bas Guizot!" " bas les Ministres!" These cries, everywhere received with electrical enthusiasm, were uttered with the greatest bitterness about Guizot's house, where an incident occurred that, whether intended or not, sealed the fate of the Orleans dynasty. The people were pressing on the military, and in the confusion a man named Lagrange stepped forward and shot the commanding officer. The troops then fired point blank into the dense mass, and many were killed. When the firing ceased, a funeral procession was rapidly formed, the bodies were collected and placed upon a large cart, their still bleeding wounds exposed under the glare of torchlight. The effect may be imagined: it thrilled the whole city with feelings of horror and revenge.During the passage of the Bill through committee three important proposals were madethe first by Lord Chandos, that tenants paying fifty pounds per annum for their holdings should have a vote in the counties. This was known as "the Chandos clause" of the Reform Bill, which was carried on the 18th of August by a majority of 84, the numbers being 232 and 148. Mr. Hume proposed that the colonies should be represented in the House of Commons; but the motion was negatived without a division. Mr. Hunt, the celebrated Radical Reformer, moved that all house-holders paying rates and taxes should have votes; but, strange to say, household suffrage had in the committee but a single supporter, Mr. Hunt himself, who upon a division constituted the minority. Mr. Hume asked only nineteen members to represent 100,000,000 of inhabitants, including our Indian empire, to which he would give four representatives. It was certainly a small demand, but as a representation of our colonies and dependencies it was ludicrously inadequate.[See larger version][See larger version][See larger version]