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* BINNET. tice Marshall (1835). He also published A Sketch of the Life and Character of Justice Bushrod llVis/iiHi/ZoH (1858); Leaders of the Old Bar of Fhiladclphin (1858); An Inquirii Into the Formation of ^'ash^nl|ton's Farewell Address (1858); and three paniphlets (1862-63) on The Privilege of the Writ of Habeas Corpus Under the Constitution, in which he strongly sui)|)orted President Lincoln. BINNEY, Thomas (1798-1874). An Eng- lish Nonconformist divine, born at Newcastle- on-Tvne. He studied at the theological seminary at Wymondeley, Hertfordshire, and in 1824 be- came ]>astor of Saint James's Street Congre- gational Chapel, Newport. Isle of Wight. From 1S2',) to 1809 he was jiastor of King's Weigh- llouse Chapel, London, and from 1869 was professor of homiletic and pastoral theology at New College, London. For forty years he was famous as a pulpit orator. He was known also as a keen controversialist, and published numer- ous pamphlets in discussion with representatives of the Kstablishment. He exerted an important influence in the enrichment of the musical serv- ices of Dissenters.. and wrote considerable devo- tional verse, of which the hymn "Eternal Light! Eternal Light!" is most familiar. His publica- tions include: Is It Possible to Make the Host of Both Worlds? (1853); Micah, the Priest- Maker (1867); and other works. Consult J. Stoughton, Memorial of the Late Thomas Bin- ney (London. 1874). BINOC'TJLAR MI'CROSCOPE. See MiCRO- sropf;. BINOCULAR TELESCOPE. A telescope with twi> tubes and two separate systems of lenses. See (.)pera-Gl.ss and Telescope. BINO'MIAL (Lat. bis, twice + «ompn, name, thing, item). In algebra, an expression consist- ing of two terms connected by the sign + or — ; e.g. a + b, (rt -f h) — c. Each term of the binomial may be a polynomial (q.v.). BINOMIAL COEFFICIENTS. The coeffi- cients of the various terms in the expansion of a binomial, as of (a + h)ti. The general form for the /,;th coefficient after the first, which is 1 (when » and k are integral), is the same as the combination of n things taken /,• at a time; i.e. -1) (n— k+1) C„.k=£i^ symbolized as ( jj J 1.2.3 k There are certain interesting relations between these coefficients, e.g. (L') = (n-k ),(")= l,(k)+ (i;+0 = (UO,'-(") + a)-00 + + BINOMIAL THEOREM. A general for- nnila for raising a binomial, as a + 6, to any power, the meaning of llie word 'power' being include exponents which are not foiniula is: n(n «.xtended to positive integers. The (a + b)n = an -f na" -ib + - -1) + n(n-l)(n-2) 1.2 a°- !b2 -f n(n-l). 1.2.3 ,.(n-n+2) an - 3 b3 4-, an — n-l-lb° — 1 + bo 1.2 (n-1) where n may be any rational, irrational, imagi- narj', or complex number. In case jv is not a 84 BIO-BIO. positive integer the expansion is an infinite series, which, unless convergent, is not equiva- lent to the given function to be expanded. The truth of the binomial theorem for positive integral exponents has long been known to math- ematicians, but Newton first extended its appli- cation ;uid emphasized its general usefulness. BINON'DO. A suburb of Manila (q.v.), situated on the right bank of the Pasig River. BINTUEONG, bin'tu-rong (native name) . A large arbore;il civet (Arctitis binturony) , allied to the jiaradoxures. but representing a sc])arate genus of the Vivcrridse. It inhabits the Malay Peninsula and islands, and is 2',^ feet long in body, with a bushy tail nearly 3 feet in length and prehensile, assisting it in climbing. It passes its day asleep in a tree, and at night hunts in a slow, cautious way for animals, birds' nests, etc., and also seems to eat vegetable sub- stances. The adult is black, but younger speci- mens are grizzled or yellowish. Its fur is long and harsh, and it has long, bristly brown hairs about the mouth, ears, and eyes, giving it a very strange appearance. Its nature is fierce, but it is frequently kept in captivity. BINZ, bints, Karl (1832 — ). A German physician and pharmacologist, born at liern- kastel. He studied at Wiirzburg, Bonn, and Ber- lin, and in 1868 became ])rofessor at Bonn. In 1869 he founded the ])liarmacologieal institute there. His more important investigations have to do with experimental pharmacology and path- ology. The action of qiiiiii;i was first defined liy him. His publications include: Experinientelle Untersuehunpen iibcr das Wesen der Chinimiyir- kung (1868); Das Chinin nach den neuern pharmakologischen Arbeiten (1875); Uebcr den Traum (1878); Vorlesungen iiber Pharmakolo- gie (1891); and Aether gegen den Schmerz (1896). BINZER, bints'er, August Daniel on (1793-1808). A German author. He was born at Kiel and studied law at the universities of Kiel and Jena, where he became closely identified with the Burschenschaft, or students' .society, which was dissolved in 1819. Afterwards he taught and edited papers in various parts of Cer- many. He is the author of two famous songs: "Wir batten gebauet ein stattliclies Haus," writ- ten on the dissolution of the Burschenseliaft, and "Stosset an," which still retain their popularity. Among the worlcs jiufifislied f>_v liim are Venedig im Jahre Ifi'i'i (1845) ; Erziihlungen und Novel- len, written in collaboration with his wife and publislicd under the ))seudonym of A. T. Beer (1850). He also translated Benjamin Frank- lin's Autobiography and Writings (1829) and the Mght Thoughts, by Edward Young. BIO-BIO, be'A-be'6. An eastern province of Chile, Ixiuiided by Argentina on the east, the Chilean Province of Malleco on the south, :ind Conceiicion on the west and north (Map: Chile, C 11). Area, 4158 .square miles. The surface is generally mountainous and well wooded. In the lower parts the soil is mostly sandy. The chief river is the BiivBio. There is a large trade in tinifier, and the western part of the province is crossed liy the railway line leading from Concep- cion to Angol. Poimlation, in 1895, 88,749. The capital, Los Angeles, is situated near the rail- way line, and had a population in 1895 of 7868.