BEGIOMONTANTJS. 802 EEGNAULT. gebra of Diophantus to the notice of Europeans. Eegiomontanus was the author of a treati^^e on plane and spherical trigonometry. De Triunqulis Omnimodis (1533), which contained tlie sine and cosine. Adopting the half chord of the Arabs, he constructed tables of sines and tangents. His work on arithmetic and algebra, entitled -il(fc- rithmiis Deiiionslrniiis (1534), was among the first containing symbolic algebra. He established an observatory and printing press in Nuremberg, and produced tables of eclipses, and works on as: tronomy and astrology. He was called to Rome by Sixtus IV. to revise the calendar, but died there the following year, and was buried in the Pantheon. His works include: Ephemerides ah Anno IJito-loOG (1474); Calendarium Xovum ( 1473) : De Quadralura Circuli { 14G3) ; Disptita- iioncs Dialof/iis contra Gerhaidi Cremonensis in Planetarum Theorias Deliranienta (1475): De Refonnatione Valendarii (1484); De Cometce Magnitudine L<mgitudineque (1531); Tabulw Directionum Prof ectiomim que (1575); De Doc- irina Triangulorum (1463). Consult Ziegler. Regiomontanns (Dresden, 1874). A collection of his letters was edited bv !Murr (Xuremberg, 1780). REGISTER (ilL. register, registra, regis- truin, variants of regeslum, register, books of record, from Lat. regestus, p.p. of rcgererc, to record, from re-, back again, anew -)- gercre, to carry). In music, the compass of a voice or in- strument ; specifically, a series of tones pro- duced by the same mechanism and having the same quality. Generally considered, there are three registers in the female voice and two in the male voice. Those notes which proceed naturally and freely from the voice constitute the so-called chest-register. The head-register em- braces those notes which are produced by a somewhat strained contraction of the glottis, while the falsetto register is that midway be- tween the two. See Alto: Baktto.xe; Bass; Mezzo ; SoPRA^•o ; Tenor ; Phonetics ; Singing ; Voice. REGISTRATION, of Chattel Mortgages. The statutes of several of the United States pro- vide for the registration of chattel mortgages in addition to filing the instruments. This system is designed solely to give notice to the public, and does not combine the guaranty of validity secured by registration of titles to land in some States. The names of the parties, the amount secured, and date of execution, are usually the only facts registered, and, therefore, it practically only amounti! to an index of the mortgages on file. See Title, Registr.vtiox of. RE'GIUS. See Rhegius. REGIUS PROFESSOR (Lat., royal profes- sor). The name given to the professors the pat- ronage of whose chairs is vested in the Crown. In the English universities the term is especially applied to those professorships founded by Henry VIII. See University. REGEA, ra'glS. A town of Cuba in the Prov- ince of La Habana, situated on the east shore of Havana Harbor, opposite the capital (Map: Cu- ba, 3). It is conneeted with the latter by ferry, and with Guanabacoa. 3 miles to the east, by a street railroad. It is also the terminus of a railroad to Matanzas, has sugar warehouses, foundries, and shipyards, and receives a consider- able part of the shipping of the harbor. Popu- lation, in 1899, 11,363. REGNARD, re-nyar', Jean Francois (1655- 1709). A French dramatist. In 1078 he was captured by corsairs on his way from Italy to France and held as a slave at Algiers, This event occasioned his novel La Provengale. Later he traveled verj' widely, from Scandinavia to Turkey, returning finally to France (1083), dividing the time between Paris and his estate at Grillon, Regnard wrote several prose dramas (1688-93): then short plays in verse, and in 1696 produced his first great comedy, Le joueur, which with those that followed, Le distrait (1697), Democrite (1700), Lcs folies amoureuses (1704), Les Menechmes (1705), and Le legataire universel (1708), made him second only to Moli&re in contemporary esteem. He continued also to write dramas in prose, of which La foire de Saint-Oermain is most noteworthy, and in La suite de la foire he combined prose and verse. Regnard died at Grillon September 4, 1709. He sought to combine the qualities of La Bruv6re and Moli&re, but for this he lacked depth, strength, and seriousness. He shows to best ad- vantage in plot, action, and dialogue, not in analysis and portrayal of character. Regnard's works were collected in 5 vols, in 1731, and in 2 vols, in 1854. Everything of primary impor- tance is in the Collection Didot (Paris, 1820). The latest edition is by Moland (ib., 1875). There is a Bibliography by March^ville (ib., 1877), and a critical study by Mahrenholtz (Op- peln, 1887). REGNAUET, re-nyo', Henri (1843-71). A French figure and genre painter. He was born in Paris October 30, 1843. After a bril- liant record in classical studies, he entered the atelier of Lamothe, and afterwards that of Ca- banel, won the Prix de Rome in 1866, and during the two years spent at Rome he de- signed, among other illustrations, those for Wey's Rome. Among his paintings executed at the same time was "La dame en rouge." In 1S68 he went to Spain, and while at ^ladrid he devoted himself especially to the study of Velaz- quez, whose influence appears in his equestrian portrait of Marshal Prim, one of the finest of the century. Refused by the sitter, it was taken by the artist to Paris, where it created a great sensation in the Salon of 1869, and is now hung in the Louvre, From the same year dates his "Judith," and in 1870 he exhibited "Salome," a symphony in yellow — an incarnation of sensual cruelty. In that year he went to ^lorocco, whence he sent his famous symphony in red, the "Moorish Headman" — a type of the dreamy cruel- ty of Oriental fatalism. But hearing of the dis- astrous opening of the Franco-German War, he hastened back to Paris, and, enlisting in a regi- ment, was killed at the sortie of Buzenval, Janu- ary 19, 1871. In the following year the pupils of the Ecole des Beaux-Arts erected a monument to him in the chief court of that school. Regnault was the greatest of the fol- lowers of Delacroix (q.v. ), whose worthy heir he was, both as regards temperament and technique. He resembled liim in brush work and in color, and his drawing is even surer. Consult: Regnault's Correspondance, edited by Duparc (Paris, 1872), and his biography by Bailli&re (ib., 1S71-72), Cazalis (ib., 1872), Tinibal (ib..
