BIN 



BIR 



BIN, for &t>ms,aa prefix is synonymous 

 with hi (q. v.). 



BI'NART, Lat. binariiu, arranged in 

 twos ; e. g. a binary compound is that 

 resulting from the union of two elements ; 

 a binary number is one made up of two 

 units ; a binary arrangement is made 

 with pairs. 



BI'NART ARITHMETIC is that wherein 

 unity or 1 and are only used. In this 

 arithmetic the cypher multiplies by 2 

 instead of 10, as it does in the common 

 arithmetic. 



BI'NART LOOARITHMS Mere coatMved 

 and calculated by M. Euler for facilitating 

 musical calculations. The modulus j* two 

 instead of ten, as in the conuion loga- 

 rithms, or one in the hyperbolic loga- 

 rithms. 



BI'NART MEASURE, in music, is that used 

 in common time .wherein the time of rising 

 in beating is equal to the time of falling. 



BI'N ATE, Lat. binatus, in pairs. Applied 

 to a leaf divided into two parts almost its 

 whole length ; or to a compound leaf hav- 

 ing only two leaflets on a common petiole. 



BIND. 1. Sind and clunch are names used 

 indifferently by miners to designate the 

 soil upon which the coal strata rest. It 

 is an argillaceous shale, more or less in- 

 durated, and sometimes intermixed with 

 sand and resembling sandstone, but al- 

 most always passing into a clayey soil on 

 exposure to the action of the atmosphere. 



2. In music, a tie for grouping notes 



together. 



BIND'ING-JOISTS, those joists of a floor 

 into which the trimmers of stair-cases, 

 or well-holes of the stairs and chimney- 

 ways, are framed. 



BIN ER'V ATE, Lat. Wnrctw, two-nerved; 

 applied in botany to leaves which have 

 two longitudinal ribs or nerves. 



BIN'NACLE, a box containing a ship's 

 compass, and light to show it at night. 

 It was formerly called bittacle, supposed 

 to be a corruption of Fr. habitade, but 

 more probably boite d'aiguille, needle-box. 



HI'NOCLE.KINOC'CLAR TELESCOPED tele- 

 scope to which both eyes may be ap- 

 plied, hence the name from binoculus, 

 double-eyed. It consists of two tubes 

 with two sets of glasses of the same 

 power, and adjusted to the same axis. 

 The instrument is not now used, being 

 found inconvenient. 



BINO'MIAL, from binus and nomen. In 

 algebra, a quantity consisting of two 

 terms or names, and connected by the 

 sign -f- or . When connected by the 

 latter sign the quantity is usually called 

 n residual, and by Euclid an apotome. 



BINO'MIAL THEOREM, a general alge- 

 braical expression or formula by which 

 any power or root of a quantity of two 

 lerms may be expanded into a series. It 

 is usually called the yeictonian theorem. 



Newton beinff considered the inventor, 

 as he certainly was, in the case of the 

 fractional and negative exponents, and 

 this includes all the other cases of powers, 

 division, &c. 



BIN'OXALATE, an oxalate in which there 

 are two (binus, twice) equivalents of the 

 acids to one of the base. 



BIN'OXIDE, written incorrectly for deu- 

 toxide. See OXIDE. 



BI'NUS, a Lat. word meaning- by couples, 

 (bis and units,) applied to leaves when 

 there are only two upon a plant. 



BIO'CELLATE, Lat. bis and ncrlhis, dim. a 

 small eye. In entomology, when the wing 

 of an insect is marked with two eye-like 

 spots. 



BIP'ARTILE, Lat. bipartilus, having two 

 corresponding parts, applied to the co- 

 rolla, leaf, and other parts of plants when 

 divided into two corresponding parts at 

 the base. 



BIPARTI'TI, a tribe of pentamerous cole- 

 optera, composed of carabici which, "in 

 relation to their habits, might be styled 

 fossores." These insects all keep on the 

 ground, conceal themselves either in 

 holes or under stones, and frequently 

 leave their retreat only at night, to prey 

 on other insects; they are particularly 

 proper to hot climates, though Britain 

 produces some genera. 



BIPEC'TINAI.E, Lat., bis and pecten, a 

 comb ; a part having two margins toothed 

 like a comb. 



BIPEL'TATE, Lat. bis, and pelta, a buck- 

 ler ; an animal or part having a defence 

 like a double shield. 



BIPEX'SATE, Lat. bipennatns, doubly 

 pennate, applied to a compound leaf hav- 

 ing a common petiole which produces 

 two partial ones, each bearing leaflets of 

 its own. 



BiPET'Ators having two petals, 61* and 

 a-fro/ev. a petal. 



BIFINNAT'IFID, Lat. bipinnatifidus, 

 doubly pinnatifled: applied to a pinnati- 

 fled lea, the segments of which are them- 

 selves pinnatified. 



Birr'piLLATE, Lat. bis, and pupilla, a 

 pupil. In entomology, an eye-like spot on 

 the wing of a butterfly, having two dots 

 or pupils within it of a different colour. 



BIUUAD'RATE, Lat. biqttadratus, doubly- 

 squared. The biquadrate of a number is 

 the square of the square. Thus 4 is the 

 square of 2, and 16 is the square of 4 ; 16 

 is therefore the biquadrate of 2. 



BiotADRATic, from bis and guadratus, 

 squared. In algebra, a biquadratic power, 

 root, or equation, is a power, root, or 

 equation of the fourth degree. See EQUA- 

 TION, POWER, and ROOT. 



BIRCH, the bctula of botanists, a genus 

 of arborescent plants of about 20 species, 

 met with in every part of the north of 

 Europe. Two species are found in Bri- 





