continuation 
tlon. Continuatitiit is used prop, i ly of e\ten>ioii In spai-e. 
amtintllliu-f of tillH-. fmti nuifll of Ml!)*tatirr, ami cnuliu" 
until''** "f I'lvriluin from inteiTilptioll in *pa<T or linn-. 
Tlllls wr .spr.lk M| III,- r..,,n,i"l'"il <il a linr iif laillna'l 
(that In, till' i-on.struetion of it !..>, .ml a in lain point, <.r 
the part thus constructed); O conttmumet Ol taSma%\ 
Uirrontiitiiitiii'l llbvrs (I hat U, thi-ir n.hrHon or pn T\a. 
ti ...... f relations). A fi-rr) would hivak tin- r<iiiliiuiiti<xii<-*x 
of a line of railroad. SIT cuiiliiiiini". 
Tin' rii-h country fmm thence to Purticl . . . amirarinj 
only a continuation of the city. /'/ '/'/"" . 
There is reiiniinl a <-ntif<ni"in>'>- of warmth to riprn tlii- 
best and noblest fruits. l>rti<l--ii, I led. .if \ ir K il's (ienraii . 
When a liinh, as we say, "goes to sleep," It is becaiiM Hi. 
nerves supplying It have been subjected to pre.-.ure suffi- 
cient to destroy tin' ]HT\m!^ <,,' ,' n >l </ nt Ilir fibres. 
11 n ili'ii <n>l Ytuiinanx, I'hysiol., 320. 
continuatiye (k<m-tin'u-fi-tiv), . and n. [= 
Pg. It. coutiiiHtttirn, < I At. contiMtattvut, < L. con- 
tinutttits, pp. of foiitiiiiinri; continue: see con- 
t in at'.] i. a. Having the character of continu- 
ing, or of causing continuation or prolongation. 
[Rare.] 
II. n. 1. An expression noting permanence 
or duration. 
To these may he added continuatiueit : aw, Rome remain* 
to this day . which Includes at least two propositions, viz. 
Rome was and Ro ..... is. Watts, Logic. 
2. In gram., a loose or unemphatic copulative ; 
a connective. 
Continuation . . . consolidate sentences into one con- 
tinuous whole. H,irrin, Hermes, II. 
continuatively (kon-tin'u-a-tiv-li), adv. In a 
continuative manner; in continuation. 
continuator (kon-tiu'u-a-tor), ii. [= F. con- 
tinuatcur = Sp. Pg. continuador = It. coHfiiniit- 
tore, < L. as if 'continuator, < continuare, pp. con- 
tiiittatus, continue: see continue.'] One who or 
that which continues or carries forward : as, the 
continuator of an unfinished history. 
The purely chronological or annalistic method [of his- 
tory}, though pursued by the learned Barouius and his 
continuatorg, is now generally abandoned. 
Scha/, Hist. Christ. Church, I. 4. 
continue (kon-tin'u), v. ; pret. and pp. continued, 
ppr. continuing. [< ME. continuen, contunen, < 
OF. continuer, F. continuer = Pr. Sp. Pg. eon- 
tiiiiitir = It. continuare, < L. continuare, join, 
unite, make continuous (in space or time), < 
continuity, continuous, unbroken : see continu- 
ous.'] I. trans. If. To connect or unite ; make 
continuous. 
The use of the navel Is to continue the infant unto the 
mother. Sir T. Browne, Vulg. Err., v. 5. 
2. To extend from one point to another ; pro- 
duce or draw out in length : as, continue the line 
from A to B; let the line be continued to the 
boundary. 3. To protract or carry on ; not to 
cease from or terminate. 
Scr, If it please your goodnesse for to hire [hear), 
With yow I haue cimtymu'd my seruiee 
In pese and rest. Oenerydes (E. E. T. 8.), 1. 577. 
O continue thy lovingkindness unto them that know 
thee. Ps. xxxvl. 10. 
4. To persevere in ; not to cease to do or use : 
as, to continue the same diet. 
The seizing Shipwraekt-men has been also a custom at 
Pegu, but whether still continued I know not. 
Dumpier, Voyages, II. i. S. 
You know how to make yourself happy, by only continu- 
ing such a life as you have been long accustomed to lead. 
i'ope. 
6. To carry on from the point of suspension ; 
resume the course of ; extend in the same 
course: as, to continue a line of railroad from 
its present terminus; the story will be contin- 
ued next week. 6. To suffer or cause to re- 
main as before; retain: as, to continue judges 
in their posts. 
regu- 
ailing 
s, as o connue e or in Its 
e. Baeon, Physical Fables, i., Expl. 
Let us pray that (Jod maintain and ctmtinii? our most 
excellent king here present, true inheritor of this our 
Lnthin-i-, 1st Sermon bef. Edw. VI., 1549. 
1229 
"A good and truly bold tpMt," continued he, "it ever 
actuated by reason, and a sense of honour and duty." 
Hteelr, Spectator, No. 350. 
2. To persevere ; be steadfast or constant in 
any course. 
If ye continue in my word, then are ye my disciples In- 
ili-cd! John viii. ::i. 
3. To remain in a state or place ; abide or stay 
indefinitely. 
Tin- multitude . . . continue with me now three days, 
and have nothing to eat Mat xv. 32. 
Tin--- lui-n, . . . to excuse those (Jentlemens suspicion 
of tlu'ir running to the Salvages, returned to the Fort ami 
there <""'" 
Quoted in Cupt. .luliu Smith * True Travels, I. 218. 
Hopelessly continuing in mistakes, they live and die In 
their absurdities. V< /'. llrvirnt, Vulg. Err. 
Those early years which, no matter how long we am- 
tin"' , are said to make up the greater portion of our life. 
Stedman, Viet Poets, p. 118. 
4. To last ; be durable ; endure ; be permanent. 
Thy kingdom shall not continue. 1 Ham. xlil. 14. 
God Is the soule, the life, the strength, and sinnev. , 
That quickens, moues, and makes this Frame continue. 
Sylveater, tr. of l)u Bartas s Weeks, I. 7. 
= Syn. 3. Sojourn, etc. Seeatndei. 
continued (kon-tin'ud), p. a. [Pp. of continue, f.] 
1 . Drawn out ; protracted ; produced ; extend- 
ed in length ; extended without interruption. 
A bridge of wondrous length 
From hell continued, reaching the utmost orb 
Of this frail world. .Wilton, P. L., iL 1029. 
2. Extended in time without intermission ; pro- 
ceeding without cessation ; continual: as, & con- 
tinued lever. Continued bass. See figured bant, un- 
der ban**, and thormijthlxutg. Continued fever. See 
continualSever, under continual. Continued fives. See 
fix. Continued fraction, in alg., an expression of the 
form (introduced by Lord Brouncker, 1868) 
_ 
+ etc., 
. 
Disturbances in the celestial regions ; though so reg 
lated ami mixleratcd by the )Hiwer of the Sun, prevaili 
over the heavenly bodies, as to continue the world in I 
state. 
realm. 
7t. To keep enduringly ; prolong the state or 
life of. 
If a child were continued in a grot or cave under the 
earth until maturity of aur. ami rame suddenly abroad, 
he would have strange and absurd imaginations. 
Bacon, Advancement of Learning, ii. 228. 
I'.nt Barnardine must die this afternoon ; 
And how shall we nmlfniif t'lainlio '; 
Ulinli.. M. for M., iv. 8. 
II. inti'tiiix. 1. To go forward or onward in 
any course or action; proceed : the opposite of 
a iisi ; as, lie continued talking for some minutes 
more. 
Also the vrrett tempest r-iy/////i.ur,/ ^,. owtrageowaly, that 
we war never in snrh a frr in all our lytT. 
n, Diarie of F.n^. Travell. p. ti'J. 
where o, 6, o, <i, e, etc.. and , f, y, , etc., are usually 
taken to represent whole numbers. A proper continued 
fraction is one in which = /3 = y=4 = etc. = 1. An 
improper continued fraction is one in which these quan- 
tities are all 1. The quantities a, b, c, d, e, etc., are 
termed the quotient* or incomplete quotient*. A terminat- 
ing continued fraction is one haying a finite number of 
quotients. A periodic or recurring conlimted fraction is 
one in which the quotients constitute a finite series re- 
curring over and over again without ceasing. Contin- 
ued or continual proportionals, a series of three or 
more quantities compared together, so that the ratio is 
the same between every two adjacent terms, viz., between 
the first and second, the second and third, the third and 
fourth, etc. : as, 1, 2, 4, 8, 16, etc., where the terms con- 
tinually increase in a double ratio. Such quantities are 
also said to be in continued proportion, and a series of 
continued proportionals is otherwise called a geometrical 
progression. Continued voyage, or continuous voy- 
age, a voyage prosecuted to completion. In the law of 
prizes, a voyage of a vessel carrying contraband of war, 
or carrying goods Intended for a blockaded port, although 
in fact ended by stopping short of the unlawful destina- 
tion and making a transhipment In order to evade the law, 
is treated by some courts as if continued, thus bringing 
upon the vessel and cargo the same liability as if it haa 
continued the voyage and effected the unlawful purpose. 
continuedly (kon-tin'ud-li), adv. Without in- 
terruption ; without ceasing. 
By perseverance, I do not understand a continuedly uni- 
form, equal course of obedience, ud such as is not inter- 
rupted with the least act of sin. A'orru. 
continuer (kon-tin'u-er), n. 1. One who con- 
tinues ; one who has the power of perseverance. 
I would my horse had the speed of your tongue ; and so 
good a continuer. Shak., Much Ado, i. 1. 
2. One who carries forward anything that had 
been begun, or takes up a course that had been 
pursued, by another or others; a continuator: 
as, the continuer of a history. 
Mr. Winthrop is a distinguished continuer of the mem- 
orable line of occasional orators in which Massachusetts 
has liri-n ... so fruitful. 
AVw York Evening Pout, Oct. 30, 188. 
continuing (kon-tiu'u-ing), p. a. [Ppr. of con- 
tinue, .] "Remaining fixed or permanent ; abid- 
ing; lasting; enduring; persevering. 
Here have" we no continuing city. Heb. xiii. 14. 
Continuing guaranty. See guaranty. 
continuingly (kon-tin'u-ing-li), adv. Without 
interruption ; continuously. 
He sayth that the sayd vii slepers were closed in that 
rant-, the first yere of Uecius, and so slened contirnuynyly 
to the last time or yeres of Theoilm ins tin- vn^cr. 
Footfall, rhron., 1. rrxiv. 
continuity (kon-ti-nu'j-ti), n. [< F. mntinuiti' 
S]i. rniiliiiiiidad = Pg. fiinliiniiiliuli = It. i-nn- 
tilllliti'i, I'liiitiiniitiiti. < L. fill I in lli tint-).-,; < i-iin- 
tiiitiu.*. continuous: see continuous.] 1. Unin- 
terrupted connection of parts in space or time ; 
unintermptediiess. 
continuous 
To this habit of om/inuiry of all. ntion. trarlng the Hut 
Miuplt,- idea t> its remoter consequences, the philosophical 
genius owes many of its discoveries. 
/. VJmuli, Ut. Char., p. 178. 
To break theeenKin"i'.i/iif tin- land, and alford the easier 
and readier Intercourse of water i om. >am .-. 
;.. rMr, SpiTi-h, .InneS, 1828. 
Kire will live In It [vapor of the grotto del Canl) no long- 
er than in water, because It wraps itself . . . about tin- 
flame, and by Its continuity hinders . . . air and nitre from 
coming to Its succour. Adduon, Italy. 
2. In math, and philos., a connection of pointx 
(or other elements) as intimate as that of the 
instants or points of uu interval of time: thus, 
the continuity of space consists in this, that a 
point can move from any one position to any 
other so that at each instant it shall have a 
definite and distinct position in space. This state- 
ment is not, however, a proper definition of continuity, 
but only an exemplification drawn from time. The old 
definitions the fact that adjacent parts have their limits 
in common (Aristotle), infinite divisibility (Kant), the fact 
that between any two points there Is a third (which is true 
of the system of rational numbers) arc inadequate. The 
less unsatisfactory definition Is that of Q. Cantor, that con- 
tinuity is the perfect concatenation of a system of points 
words which must be understood in special senses. Can- 
tor calls a system of points concatenated when any two of 
them being given, and also any finite distance, however 
small, It Is always possible to find a finite number of other 
points of the system through which by successive steps, 
each less than the given distance, it would be possible to 
proceed from one of the given points to the other. He 
terms a system of points perfect when, whatever point not 
belonging to the system be given, it is possible to find a 
finite distance so small that there are not an infinite num- 
ber of points of the system within that distance of the 
given point. As examples of a concatenated system not 
perfect, Cantor gives the rational and also the irrational 
numbers in any interval. As an example of a perfect sys- 
tem not concatenated, he gives all the numbers whose ex- 
pression in decimals, however far carried out, would con- 
tain no figures except and 9. 
The simplest of the Concrete Sciences, Astronomy and 
Geology, yield the idea of continuity with great distinct- 
ness. I do not mean continuity of existence merely ; I mean 
continuity ot causation : the unceasing production of effect 
the never-ending work of every force. 
U. Spencer, Study of Soclol., p. 322. 
The motion of a material particle which has continuous 
existence In time and space is the type and exemplar of 
every form of continuity. 
Clerk Maxicelt, Matter and Motion, Art. xxv. 
3. In zool. and anat., that part of a tiling 
which lies between the two ends, as the shaft 
of a long bone, or its diaphysis, as distin- 
guished from its condyles or epiphyses, or the 
middle portion of the bill of a bird, as dis- 
tinguished from the base and apex. [Chiefly an 
anatomical term, and especially a surgical one : as, the 
fracture of a bone in iu continuity. I Continuity of 
forms lu the Kantian philon., the doctrine that if A 
and B are two concepts such that A includes the whole 
content of B and more, there will always be a third con- 
cept C, such that A includes the whole content of C and 
more, while C includes the whole content of B ami more. 
Equation Of continuity, in liyitmlynamics, the equa- 
tion which expresses that any change in the quantity of 
fluid within any closed surface is, in the absence of sources 
or sinks within the surface, due to the flow of fluid through 
the surface. In its differential form the equation is 
*! + "fr" + *! + dfW = 0, 
dt dx dy dz 
where t is the time, p the density, x, y, z the rectangular 
coordinates, and , , ic the corresponding components 
of the velocity. Law Of continuity, the doctrine that 
continuous changes in conditions will l>e accompanied by 
continuous changes In the results. This law was first set 
forth by Leibnitz in 1687, and employed to show that the 
properties of the parabola may lie deduced from those of 
the ellipse, the laws of rest from those of motion, etc. 
Later he declared It applicable to such questions as 
whether there is an uninterrupted series of species from 
the highest to the lowest The doctrine has often been 
understood as implying that there are no abrupt varia- 
tions In nature. 
From the knowledge of the complete state at any instant 
of a thing whose motion obeys the (air of continuitii, we 
can calculate where It was at any past time, and where it 
will be at any future time. W. K. Clifford, Lectures, 1. 122. 
Solution Of continuity, rupture; separation of parts 
intimately connected. = Syn. Continuance, etc. See con- 
tinuation. 
continuous (kqn-tin'u-us), . [= F. continu = 
Pr. continu = Sp. Pg. It continuo, < L. continuus, 
joined, connected, uninterrupted (in space or 
time), < continere, hold together: see continent 
and contain.] I . Characterized by continuity ; 
not affected by disconnection of parts or inter- 
ruption of sequence; having uninterrupted ex- 
tent, substance, or existence ; unbroken. 
By changes iu the form of the land and of climate, ma- 
rine areas now continuum must often have existed within 
recent times in a far less con/inuoiM and uniform condi- 
tion than at present Darwin, Origin of Species, p. 189. 
It [Carlyli-'a History of Frederick the Great"] is a 
bundle of lively episodes rather than a continuota narra- 
tive. Lowell, Study Windows, p. 147. 
I am more than I was yesterday. This " more " repre- 
sents the growth which I said was Implied in the very con- 
ception of personality, of the <vm'<n""">' Individual. 
S. Lanier, The English Novel, p. 87. 
