binacle

See binnacle. binal (bi'nal), a. [ The attempt of the French to compel the use of the decimal system shows the difficulty of such an undertaking. Popular nece ities compelled the introduction of binal divisions. Pop. Sci . Mo., XIII. 423. bin a riant (bi-nā'ri-ant), n. A solution of the differential equation, bDa + CD +, etc., = 0. binary (bi'nā-ri), a. and n. [ bin i , pl. (rarely sing. bin us ), two by two, two, bis , double: see bi-2. Cf. between .] I. a. 1. Twofold; dual; double; twain; twin; paired: said of anything which is composed of two things or considered as divided into two things.-2. In bot ., having the organs in twos: applied to flowers: equivalent to dimerous . - Binary arithmetic, that system, invented by Leibnitz, in which two being placed as in common arithmetic, but denoting mulfigures only, 0 and 1, are used in lieu of ten, the cipher tiplication by 2 instead of by 10. Thus, 1 is one; 10 is two; 11 is three; 100 is four; 101 is five; 110 is six; 111 is seven; 1000 is eight; 1001 is nine; 1010 is ten. - Binary cla ification, binary system, in zool . , one which divides a group of objects into two series, as the cla of birds into two subcla es, Altrices and Præcoces ; a dichot omous arrangement: opposed to quinary , etc. - Binary compound, in chem . , a compound of two elements, or of an element and a compound performing the function of an element, or of two compounds performing the functions of elements, according to the laws of combination. Faraday a igns as the distinctive character of a binary compound that it admits of electrolysis. - Binary cubic. See cubic.- Binary engine, an engine having the piston of one cylinder impelled by steam which, being exhausted into another part of the apparatus, communicates its unutilized heat to some volatile liquid at a lower temperature; the vapor of this second liquid, by its expansion in a second cylinder, yields additional force. - Binary enunciation, in logic , a categorical proposition whose verb is not to be : as, So crates dies. Usually called a proposition of second adjacent.- Binary form, or binary quantic, in alg ., a homogeneous function of two variables; as: ax + by, ax2+ bxy + су2, ax3 + bx2y + cxy2 + dy3, etc. So binary cubic, quartic, etc. - Binary form, in music, a movement based upon two subjects or divided into two distinct or contrasted sections. - Binary logarithms, a system of logarithms contrived and calculated by Euler for facilitating musical calculations. In this system 1 is the logarithm of 2, 2 of 4, etc., and the modulus is 1.442695; whereas in the kind commonly used 1 is the logarithm of 10, 2 of 100, etc., and the modulus is.43429448. - Binary measure, in music, the measure used in common time, in which the time of rising in beating is equal to the time of falling. - Binary nomenclature, binary name, in zool, and bot., a binomial nomenclature or binomial name. See binomial. - Binary number, a number which is composed of two units. - Binary scale, the scale of notation used in binary arithmetic.- Binary star, a double star whose members have a revolution around their common center of gravity. - Binary theory of salts, the theory which regards salts as consisting of two elements, a basic or electropositive, which may be a metal or a radical, and an acid or electronegative element or radical: as, pota ium nitrate, K-NO3; pota ium acetate, K-C2H300 II. n.; pl. binaries (-riz). A whole composed of two; a dyad. To make two, or a binary ,. but one unto one. add Fother by , Atheomastix, p. 307. Binate Leaves.