multipartite 
3894 
part, i\] Divided or cleft into many parts; multiplicable(raul'ti-pli-ka-bl),. [=OF. miil- 
multifld. 
having several part , 
multiped, multipede (tnul'ti-ped, -ped), <i. and 
. [= F. multipede; < L. mvltipes (-ped-), many- 
footed (> multipeda, a many-footed insect), < 
mxltuK, many, + pes (ped-) = E. foot.'] I. a. 
Having many feet; polypous. 
II. H. A many-footed or polypous animal. 
multipinnate (mul-ti-pin'at), a. [< L. multus, 
lipliciible, nniltipliiible, .' multi pliable = Sp. 
Hitiltiplicable = Pg. multiplic,arel=li. moltiplica- 
bile, that may be multiplied, < L. multipHeu- 
bilis, multiplied, manifold, < multiplicare, mul- 
tiply: see multiply.'] Multipliable; capable of 
existing in many individual cases, 
multiplicand (mul'ti-pli-kand), n. [= F. mul- 
uuii/ipiimct.i<e vmui-ii-yn. n,i,, . L s ^. ,,-.-..o, tiplicande = Sp. Pg. multiplicands = It. 7oMt- 
many, + piitnatus, feathered: see pinnate.] In plicando,< L. multiplicandm, gerundive ofmul- 
bot., many times pinnate. See^riiraafe. tiplieare, multiply: see multiply.'] In aritfi., a 
multiple (mul'ti-pl), . and n. [= F. multiple number multiplied or to be multiplied by an- 
= Sp. miiltiplo = Pg. mitttiplo = It. multiple, < other, which is called the multiplier. See mul- 
ML. multipius, manifold, < L. multus, many, + tiplication, 2. 
-plus, as in duplus, double, etc., akin to E. -fold : The two numbers given or assignd in every multiplica- 
see-fold and cf. duple, triple, etc. Cf. multi- tion have each of them a peculier name, for the greater is 
nler with rliff uppond element 1 Iff 1 Mani- called the multiplicand and the lesser is named the multi- 
ni.j 1. . i. mam Arithmetick (1600), foL 23Q. 
fold ; having many parts or relations. 2. Con- ' 
sisting of more tlian one complete individual, multiplicate (mul'ti-pli-kat), a._ [= Sp. Pg. 
B will bear a simple ratio to'each other. Multiple arc, In bot., same as multiplex, 2. 
the system of connecting electric batteries, lamps, or other multiplicatedt (mul'ti-pli-ka-ted), a. 
circuits to the leads or main conductors where terminals t , ;;.,/., 4. P M -\ MiilHnliprl nut in 
of each lamp or other circuit are connected to the leads, nplteate -t- -ea . J 
[< mul- 
two or 
cap was Inn n n mvttiplicattd." 
Sir T. Herbert, Travels (1664), p. 319. 
so as to fornfan independent arc or circuit between them, more folds. 
See parallel circuit, under parallel. Multiple contact, The Persian 
drilling -machine, etc. See the nouns. Multiple 
echoes. See echo, l. Multiple epidermis, iu Sot,, ryuiw 
an epidermis of several layers of superposed cells, result- multiplication (mul'tl-ph-ka'shon), n. [< Mi,. 
ing from the division of the original epidermal cells by multiplication, < OF. multiplication, F. multipli- 
partitions parallel to the surface. Multiple fruit. See 
fruit, 4. Multiple images. See image. Multiple in- 
tegral, in math., a quantity which results from the per- 
formance of integration more than once, generally with 
reference to different variables. Multiple lines, in 
cation, < Sp. multiplication = Pg. multiplicaqao 
= It. moltiplicazione, < L. multiplicatio(n-), mul- 
tiplication^ mwltiplicare, pp. multipUcatu,mu\- 
. . tiply: see multiply.] 1. The act or process of 
fort., several lines of detached works or ramparts ar- , -nflj-ii,, ,, r ,t \, ,,.,,.., ^;,,, f in numVipr- the 
ranged for the defense of a military position.- Multiple multiplying or ot increasing in number , tne 
neuritis, a neuritis involving several nerves at once. state ot being multiplied: as, the multiplication 
Multiple point or tangent, in math., one which results of the human species by natural generation, 
from the coalescence oftwo points or tangents. The mul- 
tiple points of curves are made up of the three kinds of 
double points : namely, the point where the curve crosses 
itself, the outlying point, and the cusp. In like manner, 
the multiple tangents are made up of three kinds of double 
tangents the tangent from one real convexity to an- 
other, the outlying tangent with no real point of tan- 
gency, and the tangent at an inflection. Multiple pole. 
Same as multipolar. Multiple star. See star. Multi- 
2. An arithmetical process in which one num- 
ber, the multiplier, is considered as an operator 
upon another, the multiplicand, the result, called 
the product, being the total number of units in 
tipiy'ing another 'by T^ho'l^'m^mber :"'a^T2 as many groups as there are units in the mul- 
K&mTMiple of 3, the latter being a submulti- tiplier each group being equal in number to 
.7. ... _if i _' i _js ii.. n .._ the multiplicand ; more generally, the operation 
of finding the quantity which results from sub- 
stituting the multiplicand in place of unity in 
the multiplier. Thus, the multiplication of 4 by 5 gives 
5 times 4, or the number of units in five groups of four units 
each; so the multiplication of g by ~ consists in finding ' 
In hilles feet towarde Septentrion 
Good humour hath multiplication. 
Palladius, Husbondrie (E. E. T. S.), p. 175. 
It may be doubted whether any of us have ever yet real- 
ized the enormous change which has taken place in the 
conditions of national progress by the multiplication and 
diffusion of cheap books. Nineteenth Century, XXIV. 499. 
pie values, in 0(17., symbols which fulfil the algebraic 
conditions of a problem when several different values are 
given to them, as the roots of an equation, certain func- 
tions of an arc or angle, etc. 
II. TO. In arith., a number produced by mul- 
ple or aliquot part of the former Common 
multiple of two or more numbers, a number that is di- 
visible by each of them without remainder : thus, 24 is a 
common multiple of 6 and 4. The least common multiple 
is the smallest number of which this is true : thus, 12 is 
the least common multiple of 6 and 4. The same defini- 
tions apply to algebraic quantities. Multiple Of gear- 
ing, a train of gearing by which a specific power to accom- 
plish a definite act or function is attained through change 
of speed-ratio. Thus, in powerful shears, etc., a high speed 
is changed to a low speed with great increase of pressure 
exerted through a small distance on the cutting blade ; 
conversely, by a multiple of gearing a high speed with less 
pressure may be obtained. 
not of unity, but of f, of unity. By a further generalization, 
multiplication in the higher mathematics is regarded as the 
process of bringing an operand under an operator. Thus, 
in quaternions, if u be the operation of turning a line in a 
given direction through a given angle, and if v be another 
similar versor, then uv, or the result of the multiplication 
of v by u, is the rotation which would result from turning 
- ... i ,,.. T . ,. T a line first through v and then through u. In like manner, 
multlplepomdmg (mul_ ti-pl-pom ding), . In j n the theory of differential equations, if D.r denote the 
Scots law, double poinding or double distress. 
It gives rise to an action by which a person possessed of 
money or effects which are claimed by different persons 
obtains an adjudication for settlement and payment : cor- 
responding to interpleader in England and the United 
States. See poinding. 
multiplex (mul'ti-pleks), a. and n. [= Sp. mul- 
tiplice = Pg. multiplex, multiplice = It. multi- 
plice, moltiplice, < L. multiplex (LL. also multi- 
plicus), manifold, < multus, many, + plicare, 
fold: see plicate.] I. a. 1. Manifold; multi- 
ple ; multiplicate. 
In favour of which unspeakable benefits of the reality, 
what can we do but cheerfully pardon the multiplex inep- 
titudes of the semblance? 
Carlyle, Misc., IV. 137. (Dames.) 
2. In bot., having petals lying over one another 
in folds. Also multiplicate. 
II. n. In math., a set of objects. 
multiplex (mul'ti-pleks), v. t. [< multiplex, a.] 
To render multiplex ; manifold. [Colloq.] 
We have only described a comparatively simple form of 
the apparatus, and we ought to add that it admits of being 
easily duplexed, and even of being multiplexed. 
The Engineer, LXVII. 532. 
multipliable (mul'ti-pll-a-bl), a. [< F. multi- 
pliable, < L. multipliabilis : see multiply. Cf. 
multiplicable.] Capable of being multiplied. 
Good deeds are very fruitful, and, not so much of their 
nature as of God's blessing, multipliable. 
Bp. Hall, Meditations and Vows, iii. 78. 
There is a continually increasing demand for popular 
art, multipliable by the printing-press, illustrative of daily 
events, of general literature, and of natural science. 
liuskin, Lectures on Art (1872), p. 10. 
multipliableness (mul'ti-pli-a-bl-nes), w. Ca- 
pableness of being multiplied" 
mention of differentiation relatively to the variable x, and 
Dy denote the same operation relatively to the variable }/, 
then the operation of differentiating flrstrelatively to i/and 
then relatively to x is regarded as the product of !)> by 
Dx, and is written D^-Dy. In the algebra of logical rela- 
tions, the multiplication of one relative by another consists 
in putting the relates of the multiplicand disjunctively in 
place of the correlates of the multiplier. In other cases, 
multiplication consists in conjoining (in some specific way) 
each unit of the multiplier with each unit of the multipli- 
cand: and this definition may be regarded as including 
every other. Thus, the multiplication of 2 feet of length 
by 3 feet of breadth is considered as giving 6 feet of area, 
in each of which square feet one unit of length is conjoin- 
ed with one unit of breadth. So the momentum of a body 
having a motion of translation is said to be the product of 
the mass into the velocity that is, is the result of impart- 
ing to each particle of the mass the whole of the given 
velocity. In the Boolian algebra, theproduct of two classes 
A and B is the whole of the class embraced by both that 
is, it embraces all the individuals each of which reunites 
the characters of A and of B. In algebra, multiplication 
is denoted by writing the multiplier before the multipli- 
cand, either directly, or with a cross ( x ) or a dot (.) inter- 
posed between them. All multiplication follows the dis- 
tributive principle, expressed by the formula 
(a + b) (c + d) = at + tc + ad + bd. 
Under certain restrictions, all multiplication follows the 
associative principle, expressed by the formula a(bc) = 
(ab)c. According to the nature of the conjunction of units, 
multiplication does or does not follow the commutative 
principle, expressed by the formula 06 = ba. 
3. Specifically, in bot., increase in the number 
of parts of a flower, either (a) in the number 
of whorls or spiral turns, or (b) in the num- 
ber of organs (pistils, stamens, petals, or se- 
pals) in any whorl, circle, or spiral turn. Also 
called augmentation. See cliarixin. 4f. The 
supposed art of increasing gold and silver In- 
alchemical means. Chaucer. 
multiply 
It is ordained and stablished, That none from hence- 
forth shall vse to multiply Gold and Silver; nor use the 
Craft of Mullijilication; and if any the same do, and be 
thereof attaint, that he incur the Pain of Felony in this 
case. Slot. 5 Hen. IV., cap. 5. 
Multiplication of Gold or Silver, the Art of encreasing 
those Metals, which in the Time of K. Henry IV was pre- 
sum'd possible to be effected by means of Elixirs, or other 
C'hymical Compositions. 
Quoted in Booke of Precedence (E. E. T. S. , extra ser. ), i. Ill . 
Item, you commaunded midliplication and alcumistrie 
to bee practised, thereby to abait the king's coine. 
Stow, Edw. VI., an. 1549. 
Anagrammatic, commutative, internal multiplica- 
tion. See the adjectives. Cross or duodecimal mul- 
tiplication. See duodecimal, n., 2. Multiplication 
table, a table containing the product of all the simple 
digits, and onward to some assumed limit, as to 12 times 
12. Polar or external multiplication, a multiplica- 
tion in which the reversal of the order of the factors in- 
variably reverses the sign of the product, while not alter- 
ing its numerical value. Contrasted with internal multi- 
plication. 
multiplicative (mul'ti-pli-ka-tiv), a. and n. 
[=F. mnltiplicatif = Sp. Pg. It. multiplicatirn : 
as multiplicate + -ive.] I. a. Tending to mul- 
tiply or increase ; having the power to multiply 
numbers. 
II. . A numeral adjective describing an ob- 
ject as repeated a certain number of times or 
as consisting of a certain number of parts, 
such as single, double (duplex), triple (treble), 
quadruple, quintuple, or twofold, threefold, four- 
fold, fivefold. 
multiplicator (mul'ti-pli-ka-tor), n. [= F. 
multiplicateur = Sp. Pg. multiplicador = It. 
multiplicatore, < LL. multiplicator, a multiplier, 
< L. multiplicare, pp. multiplicattts, multiply: 
see multiply.] Same as multiplier, 2. 
multiplicioust (mul-ti-plish'us), a. [< L. mul- 
tiplex (multiplied), multiplex, + -ous.] Mani- 
fold; multiplex. 
The animal [amphisbaena] is not one, but muUipUcioui, 
or many, which hath a duplicity or gemination of princi- 
pal parts. Sir T. Browne, Vulg. Err., iii. 15. 
Tills sense [smelling] . . . although sufficiently grand 
and admirable, (yet) is not so mullipliciom as of the eye 
or ear. Derham, Physico-Theology, iv. 4. 
multipliciouslyt (mul-ti-plish'us-li), adv. In 
a manifold or multiplex manner. 
multiplicity (mul-ti-plis'i-ti), n. [= F. mul- 
tiplicite = Sp. multiplicidad = Pg. multipliti- 
da.de = It. moltiplicitd, < LL. multiplicita(t-)s, 
manifoldness, < L. multiplex, manifold: see 
multiplex.] 1. The state of being multiplex 
or manifold or various ; the condition of being 
numerous. 
Moreover, as the manifold variation of the parts, so the 
multiplicity of the use of each part, is very wonderful. 
N. Grew, Cosmologia Sacra, i. B. 
2. Many of the same kind; a large number. 
Had they discoursed rightly but upon this one princi- 
ple that God was a being infinitely perfect, they could 
never have asserted a multiplicity of gods. 
South, Sermons. 
A multiplicity of laws give a judge as much power as a 
want of law, since he is ever sure to find among the 
number some to countenance his partiality. 
Goldsmith, Reverie at Boar's-Head Tavern. 
Multiplicity Of a curve, the total number of multiple 
points, crunodes, acnodes, and cusps, or of their compound 
equivalents, belonging to it. Thus, a curve having no sin- 
gularity except a ramphoid cusp has a multiplicity of 2, 
since a ramphoid cusp is equivalent to a simple cusp and a 
crunode. Order of multiplicity of a right line with 
reference to a surface, the number of tangent planes to 
the surface from the line. 
multiplier (mul'ti-pll-er), n. 1. One who or 
that which multiplies or increases in number. 
Broils and quarrels are alone the great accumulators 
and multipliers of injuries. Decay of Christian Piety. 
2f. An alchemist. Compare multiplication, 3. 
Alchymists were formerly called multipliers, although 
they never could multiply ; as appears from a statute of 
Henry IV. repealed in the preceding record. 
/. D'lsraeli, Curios, of Lit, I. 376. 
3. The number in the arithmetical process of 
multiplication by which another is multiplied. 
Also multiplicator. 4. A flat coil of conduct- 
ing wire used as the coil of a galvanoscope. 
The tendency to deflection is proportional near- 
ly to the number of coils. 5. An arithmome- 
ter for performing calculations in multiplica- 
tion. E. H. Knight. 6. A multiplying-reel ; an 
attachment to an anglers' reel which gathers in 
the slack with multiplied speed at each revo- 
lution of the crank. See reel Indeterminate, 
last, etc. , multiplier. See the adjectives. 
multiply fmiil'ti-pli), t-.; pret. and pp. multi- 
plii-il, ppr. multiplying. [<ME. multiplirn, miil- 
tipli/cn. inlfe/>lie>t, < OF. multiplier, ninltcplin-, 
<F'.multi/jli/'r = Sp.Pg. itiultipliear = It. mvlti- 
/ilii'iire, nioltiplimri'. < lj. niuHiplirnri; make 
manifold, multiply, increase, < multiplex, mani- 
