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 and was a reward for the king’s treatise, Assertio, septem sacramentorum, against Luther. When Henry broke with the papacy, Pope Paul III. deprived him of this designation, but in 1544 the title of “Defender of the Faith” was confirmed to Henry by parliament, and has since been used by all his successors on the English throne.

DEFERENT (Lat. deferens, bearing down), in ancient astronomy, the mean orbit of a planet, which carried the epicycle in which the planet revolved. It is now known to correspond to the actual orbit of the planet round the sun.

 DEFFAND, MARIE ANNE DE VICHY-CHAMROND, (1697–1780), a celebrated Frenchwoman, was born at the château of Chamrond near Charolles (department of Saône-et-Loire) of a noble family in 1697. Educated at a convent in Paris, she showed, along with great intelligence, a sceptical and cynical turn of mind. The abbess, alarmed at the freedom of her views, arranged that Massillon should visit and reason with her, but he accomplished nothing. Her parents married her at twenty-one years of age to her kinsman, Jean Baptiste de la Lande, marquis du Deffand, without consulting her inclination. The union proved an unhappy one, and resulted in a separation as early as 1722. Madame du Deffand, young and beautiful, is said by Horace Walpole to have been for a short time the mistress of the regent, the duke of Orleans (Walpole to Gray, January 25, 1766). She appeared in her earlier days to be incapable of any strong attachment, but her intelligence, her cynicism and her esprit made her the centre of attraction of a brilliant circle. In 1721 began her friendship with Voltaire, but their regular correspondence dates only from 1736. She spent much time at Sceaux, at the court of the duchesse du Maine, where she contracted a close friendship with the president Hénault. In Paris she was in a sense the rival of Madame Geoffrin, but the members of her salon were drawn from aristocratic society more than from literary cliques. There were, however, exceptions. Voltaire, Montesquieu, Fontenelle and Madame de Staal-Delaunay were among the habitués. When Hénault introduced D’Alembert, Madame du Deffand was at once captivated by him. With the encyclopaedists she was never in sympathy, and appears to have tolerated them only for his sake. In 1752 she retired from Paris, intending to spend the rest of her days in the country, but she was persuaded by her friends to return. She had taken up her abode in 1747 in apartments in the convent of St Joseph in the rue St Dominique, which had a separate entrance from the street. When she lost her sight in 1754 she engaged Mademoiselle de Lespinasse to help her in entertaining. This lady’s wit made some of the guests, D’Alembert among others, prefer her society to that of Madame du Deffand, and she arranged to receive her friends for an hour before the appearance of her patron. When this state of things was discovered Mademoiselle de Lespinasse was dismissed (1764), but the salon was broken up, for she took with her D’Alembert, Turgot and the literary clique generally. From this time Madame du Deffand very rarely received any literary men. The principal friendships of her later years were with the duchesse de Choiseul and with Horace Walpole. Her affection for the latter, which dated from 1765, was the strongest and most durable of all her attachments. Under the stress of this tardy passion she developed qualities of style and eloquence of which her earlier writings had given little promise. In the opinion of Sainte-Beuve the prose of her letters ranks with that of Voltaire as the best of that classical epoch without excepting any even of the great writers. Walpole refused at first to acknowledge the closeness of their intimacy from an exaggerated fear of the ridicule attaching to her age, but he paid several visits to Paris expressly for the purpose of enjoying her society, and maintained a close and most interesting correspondence with her for fifteen years. She died on the 23rd of September 1780, leaving her dog Tonton to the care of Walpole, who was also entrusted with her papers. Of her innumerable witty sayings the best known is her remark on the cardinal de Polignac’s account of St Denis’s miraculous walk of two miles with his head in his hands,—Il n’y a que le premier pas qui coûte.

 DEFIANCE, a city and the county seat of Defiance county, Ohio, U.S.A., at the confluence of the Auglaize and Tiffin rivers with the Maumee, about 50 m. S.W. of Toledo. Pop. (1890) 7694; (1900) 7579 (960 foreign-born); (1910) 7327. It is served by the Baltimore & Ohio and the Wabash railways, and by the Ohio Electric railway to Lima (42 m.). The city commands a fine view of the rivers and the surrounding country, which is well adapted to agriculture; and has large machine shops and several flour mills, besides manufactories of agricultural implements, waggons, sashes and blinds, and wood-working machinery for the manufacture of artillery wheels. Here, too, is Defiance College, an institution of the Christian Denomination, opened in 1885. Defiance was long the site of an Indian village. In 1794 General Anthony Wayne built a fort here and named it Defiance. In 1822 Defiance was laid out as a town; in 1845 it was made the county seat of the newly erected county; and in 1881 it became a city of the second class.

 DEFILE, a military expression for a passage, to march through which troops are compelled to “defile,” or narrow their front (from the Fr. défiler, to march in a line, or by “files”). The word is usually applied to a ravine or gorge in a range of hills, but a causeway over a river, a bridge and even a village may equally be called a defile. The term is also used to express, without any special reference to military operations, a gorge in mountains. The verb “to defile” is used of troops marching on a narrow front, or narrowing their front, under all circumstances, and in this sense is the contrary of “deploy.”

“Defile,” in the sense of “pollute,” is another form of “defoul”; though spelt alike, the two words are pronounced differently, the accent being on the first syllable for the former and on the second for the latter.

 DEFINITION (Lat. definitio, from de-finire, to set limits to, describe), a logical term used popularly for the process of explaining, or giving the meaning of, a word, and also in the concrete for the proposition or statement in which that explanation is expressed. In logic, definition consists in determining the qualities which belong to given concepts or universals; it is not concerned with individuals, which are marked by an infinity of peculiarities, any one or all of which might be predicated of another individual. Individuals can be defined only in so far as they belong to a single kind. According to Aristotle, definition is the statement of the essence of a concept (, Posterior Analytics, B iii. 90 b 30); that is, it consists of the genus and the differentia. In other words, “man” is defined as “animal plus rationality,” or “rational animal,” i.e. the concept is (1) referred to the next higher genus, and (2) distinguished from other modes in which that genus exists, i.e. from other species. It is sometimes argued that, there being no definition of individuals as such, definition is of names (see J. S. Mill, Logic, i. viii. 5), not of things; it is generally, however, maintained that definition is of things, regarded as, or 