NOTE IV. referred to in page 206. Mr. Porson's Problem, with its Solution by the Reminiscent. Let xy +zu 444 xz+yu=180 xyzu = 5184 To determine the value of x, y, z, and u. Again, let zu 12 xu= 48 and xz = 144 or 36 236, ±4, ±2, y=12, 18, ±24, ±12, ±6, ±3, 24, ±18, ±36, ±2, ±4, ±3, 16, =±4, ±2, ±6, ±3, ±24, ±12, ±36, ±18, W= ±3, ±6, ±2, ±4, ±18. ±36, ±12, ±24. The answers must be taken vertically, and considered either as all positive or all negative. It does not appear, whether Mr. Porson framed the equation by any rule or scheme in the established theory of numbers. Perhaps it was by reflection, and repeated trials, applied to the object in view, without any system by which similar equations may be constructed. NOTE V. referred to in page 268. Course of Study of Modern History. A FULL knowledge of the history of France and of the principal events in the history of the Continent,1. From the destruction of the Roman empire till the reformation ;-II. From the reformation, till the reign of Louis the fourteenth ;-and-III. From his reign till the present time ;-may be obtained by perusing the following works: all of them are interesting and instructive, and written with great elegance. I. L'Histoire de Charlemagne, by M. Gaillard," 4 vols. 8vo.* conducts the reader from the beginning of the French history, till the house of Capet. The next event of importance in the history of France, is the repeated wars between her and England. The history of them is to be found in Hume, and all other writers of the general history of England; but it is told in a more agreeable manner by father d'Orleans, in the second and third volumes of his "Histoire des Révolutions d'Angleterre," 4 vols. 8vo.† While these wars were at their height, the Crusades began; an interesting history of them is to be found in the two first volumes of the "Histoire des Chevaliers de Malthe, by the Abbé de Vertot," 5 vols. 8vo. and the Esprit de Croisades," 4 vols. 8vo. ހ These are followed by the French invasion of Italy, In Hookham's Catalogue, No. 14,529. + Ib. 14,935. excellently related by the Abbé de Bos, in his "Histoire de la Ligue de Cambrai,” 3 vols. 4to* Here it may be proper to rest; and to take a short view of the general state of France and Italy during the middle ages. This is given in three very interesting works,-Mr. Berington's "Lives of Heloisa and Abelard," in two thin quarto volumes ;-"La Conjuration de Rienzi, by Father Cerçeau, a Jesuit," in 1 vol. 8vo.‡ and the Mémoires pour servir à la Vie de Pétrarque, by the Abbé de la Sade," 4 vols. 4to.§ II. Mr. Berington's "History of Literature during the Middle Ages," presents the best account in print of that important subject; and Mr. Roscoe's" Lives of Leo the tenth and Lorenzo di Medici," contain an interesting account of the revival of literature. In reference to this period"Cardinal de Retz's Conjuration de Fiésque,"¶ should also be read. After which, "L'Esprit de la Ligue," 3 vols. 8vo.** than which the continent has not produced a better history, and the " Intrigues du Cabinet, by M. d'Anquétil,” 4 vols. 8vo.tt should be perused. Those, whom quartos do not frighten, will be delighted in the highest degree by the thirteenth, fourteenth, and fifteenth volumes of "Father Daniel's Histoire de France;"‡‡ they contain the life of Louis the thirteenth, by father Griffét; a most interesting history of a most interesting reign. Here the eyes should be again turned on the adjacent state of the continent, and "Vertot's Histoire de la Révolution de Portugal,"§§ and his " Histoire de la Révolution de Suède," each of them contained in one vol. 8 vo. should be read and here, perhaps, " Mr. Butler's Revolutions of the German Empire," may be usefully pe rused. 66 : III. The "Mémoires du Cardinal Retz," 6 vols. 8vo. which give an account of the troubles in the early part of Louis the fourteenth's reign, are universally read; the principal events of that time are to be found in the Intrigues du Cabinet," already mentioned. After which, the two following works,-" Voltaire's Siècle de Louis quatorze,"§ 2 vols. 8vo. and the "Abbé d'Anquétil's Louis quatorze et sa Cour," bring us to the present time. It only remains to mention, the Bible of French politicians, "Histoire du Traité de Westphalie," 6 vols. 8vo. by Father Bougeant. It contains an account equally interesting and instructive, of the war of thirty years; and all the political negotiations of France, from the league to the peace of Westphalia. דיי. If the reader is alarmed at Mr. Roscoe's quartos, he will find the substance of them very agreeably told by Varillas in his "Anecdotes de Florence." As a most interesting historical novel, for it deserves no better name, I beg leave to recommend the "Conjuration contre Venice of the Abbé de St. Real."** *These are not in Hookham's Catalogue, but are easily procured. † At Hookham's, but not in his Catalogue. In Hookham's Catalogue 15,689, § Ib. 16,405. Ib. 15,384. Ib. 13,216. ** Ib. 16,300. |