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 gave the first impetus to the collection of Rumanian popular songs and first drew attention to their inimitable charm.

 ALEMAN, LOUIS (c. 1390–1450), French cardinal, was born of a noble family at the castle of Arbent near Bugey about the year 1390. He was successively bishop of Maguelonne (1418), archbishop of Arles (1423) and cardinal priest of St Cecilia (1426). He was a prominent member of the council of Basel, and, together with Cardinal Julian, led the party which maintained the supremacy of general councils over the pope’s authority. In 1440 Aleman obtained the support of the emperor Sigismund and of the duke of Milan to his views, and proclaiming the deposition of Pope Eugenius IV., placed the tiara upon the head of Amadeus VIII., duke of Savoy (henceforward known as antipope Felix V.). Eugenius retorted by excommunicating the antipope and depriving Aleman of all his ecclesiastical dignities. In order to make an end of the schism, Felix V. finally abdicated on Aleman’s advice, and Nicholas V., who had succeeded in 1447, restored the cardinal to all his honours and employed him as legate to Germany in 1449. On his return he retired to his diocese of Arles, where he devoted himself zealously to the instruction of his people. He died on the 16th of September 1450, and was beatified by Pope Clement VII. in 1527.

 ALEMÁN, MATEO (1547–1609?), Spanish novelist and man of letters, was born at Seville in 1547. He graduated at Seville University in 1564, studied later at Salamanca and Alcalá, and from 1571 to 1588 held a post in the treasury; in 1594 he was arrested on suspicion of malversation, but was speedily released. In 1599 he published the first part of Guzmán de Alfarache, a celebrated picaresque novel which passed through not less than sixteen editions in five years; a spurious sequel was issued in 1602, but the authentic continuation did not appear till 1604. In 1608 Alemán emigrated to America, and is said to have carried on business as a printer in Mexico; his Ortografia castellana (1609), published in that city, contains ingenious and practical proposals for the reform of Spanish spelling. Nothing is recorded of Alemán after 1609, but it is sometimes asserted that he was still living in 1617. He married, unhappily, Catalina de Espinosa in 1571, and was constantly in money difficulties, being imprisoned for debt at Seville at the end of 1602. He is the author of a life (1604) of St Antony of Padua, and versions of two odes of Horace bear witness to his taste and metrical accomplishment. His chief title to remembrance, however, is Guzmán de Alfarache, which was translated into French in 1600, into English in 1623 and into Latin in 1623.

 ALEMBERT, JEAN LE ROND D’ (1717–1783), French mathematician and philosopher, was born at Paris in November 1717. He was a foundling, having been exposed near the church of St Jean le Rond, Paris, where he was discovered on the 17th of November. It afterwards became known that he was the illegitimate son of the Chevalier Destouches and Madame de Tencin. The infant was entrusted to the wife of a glazier named Rousseau who lived close by. He was called Jean le Rond from the church near which he was found; the surname Alembert was added by himself at a later period. His father, without disclosing himself, having settled an annuity on him, he was sent at four years of age to a boarding-school. In 1730 he entered the Mazarin College under the Jansenists, who soon perceived his exceptional talent, and, prompted perhaps by a commentary on the Epistle to the Romans which he produced in the first year of his philosophical course, sought to direct it to theology. His knowledge of the higher mathematics was acquired by his own unaided efforts after he had left the college. This fact naturally led to his crediting himself with many discoveries which he afterwards found had been already established, often by more direct and elegant processes than his own.

On leaving college he returned to the house of his foster-mother, where he continued to live for thirty years. Having studied law, he was admitted as an advocate in 1738, but did not enter upon practice. He next devoted himself to medicine, but his natural inclination proved too strong for him, and within a year he resolved to give his whole time to mathematics. In 1741 he received his first public distinction in being admitted a member of the Academy of Sciences, to which he had previously presented several papers, including a Mémoire sur le calcul intégral (1739). In his Mémoire sur le réfraction des corps solides (1741) he was the first to give a theoretical explanation of the phenomenon which is witnessed when a body passes from one fluid to another more dense in a direction not perpendicular to the surface which separates the two fluids. In 1743 he published his Traité de dynamique, a work famous as developing the mechanical principle, known as “Alembert’s Principle,” first enunciated in 1742 (see ). In 1744 Alembert applied this principle to the theory of the equilibrium and the motion of fluids (Traité de l’équilibre et du mouvement des fluides), and all the problems before solved by geometricians became in some measure its corollaries. This discovery was followed by that of the calculus of partial differences, the first trials of which were published in his Réflexion sur la cause générale des vents (1747). This work was crowned by the Academy of Berlin, and was dedicated to Frederick the Great, who made several unsuccessful attempts to induce him to settle in Berlin. In 1763 he visited Berlin, and on that occasion finally refused the office of president of the Academy of Berlin, which had been already offered to him more than once. In 1747 he applied his new calculus to the problem of vibrating chords, the solution of which, as well as the theory of the oscillation of the air and the propagation of sound, had been given but incompletely by the geometricians who preceded him. In 1749 he furnished a method of applying his principles to the motion of any body of a given figure; and in 1754 he solved the problem of the precession of the equinoxes, determined its quantity and explained the phenomenon of the nutation of the earth’s axis. In 1752 he published an Essai d’une nouvelle théorie sur la résistance des fluides, which contains a large number of original ideas and new observations; In 1746 and 1748 he published in the Memoirs of the Academy of Berlin “Recherches sur le calcul intégral,” a branch of mathematical science which is greatly indebted to him. In his Recherches sur différents points importants du systéme du monde (1754–1756) he perfected the solution of the problem of the perturbations of the planets, which he had presented to the academy some years before.

Alembert’s association with Diderot in the preparation of the Dictionnaire Encyclopédique led him to take a somewhat wider range than that to which he had previously confined himself. He wrote for that work the Discours préliminaire on the rise, progress and affinities of the various sciences, which he read to the French Academy on the day of his admission as a member, the 18th of December 1754. He also wrote several literary articles for the first two volumes of the Encyclopaedia, and to the remaining volumes he contributed mathematical articles chiefly. One of the few exceptions was the article on “Geneva”, which involved him in a somewhat keen controversy in regard to Calvinism and the suppression of theatrical performances within the town. During the time he was engaged on the Encyclopaedia he wrote a number of literary and philosophical works which extended his reputation and also exposed him to criticism and controversy, as in the case of his Mélanges de Philosophies, d’Histoire, et de Littérature. His Essai sur la société des gens de lettres avec les grands was a worthy vindication of the independence of literary men, and a thorough exposure of the evils of the system of patronage. He broke new ground and showed great skill as a translator in his Traduction de quelques morceaux choisis de Tacite. One of his most important works was the Eléments de Philosophies published in 1759, in which he discussed the principles and methods of the different sciences. He maintained that the laws of motion were necessary, not contingent. A treatise, Sur la destruction des Jésuites (1765), involved him in a fresh controversy, his own share in which was