U N C 



U N C 



UNBITTING, in Sea Language, denotes the operation 

 of removing the turns of a cable from off the bitts. 



UNCARIA, in Botany, fo named by Schrebar, from 

 uncus, a hook, alluding; to the hooked prickles of the ftem 

 in one fpecies. See Nauclea. 



UNCASING, among Hunters, the cutting up or flaying 

 of a fox. 



UNCASTILLO, in Geography, a town of Spain, in 

 Aragon, on the Riguel ; 12 miles N. of Exea. 



UNCATA, in Botany, a name given by feme authors 

 to the ftramonium, or thorn-apple. 



UNCEASESATH, iu cur Old Writers, an obfolete 

 word, ufed where one killed a thief, and made oath that he 

 did it as he was flying for the faft, and thereupon parentibus 

 ipjius occifijuret unceafefath, viz. that his kindred would not 

 revenge his death ; or they fwore that there fhould be no 

 contention about it. 



Du-Cange derives the word from the negative particle un 

 and the Saxon ceath ; which laft fignifies the fame with 

 ajjithment in the law of Scotland. 



UNCERTAIN, in the Manege. We call a horfe uncer- 

 tain that is naturally reftlefs and turbulent, and is confounded 

 ill the manege he is put to, fo that he works with trouble 

 and uncertainty. 



UNCHiE, in Ancient Geography, a town of Alia, in 

 AiTyria, about two ftages from the road of the ilraits at 

 the entrance into this province. Quintus Curtius. 



UNCHASAIR, in Geography, a town of Hindooftan, 

 in the fubah of Delhi ; lo miles S.S.E of Secundara. 



UVCIA, a term generally ufed for the twelfth part of a 

 thing. In which fenfe it occurs in Latin writers, both for 

 a weight called by us an ounce, and a meafure called an inch. 

 See Ounce. See alfo Measure and Weight. 



Uncia, in Zoology, a fpecies of Felis ; which fee. 



Uncia Terrs, or Agri, is a phrafe frequently met with in 

 the ancient charters of the Britifli kings ; but what the 

 quantity of ground was is a little obfcure. All that we 

 know for certain is, that it fignified a large quantity, as 

 much as twelve modii, which modius fome conjefture to 

 have been an hundred feet fquare. 



UNCIjE, in Algebra, are the numbers prefixed to the 

 letter of the members of any power produced from a 

 binomial, refidual, or multinomial root : now ufually called 

 co-ejicients. 



Thus, in the fourth- power oi a -^ b, that n, a a a a ■\- 

 ^. a,a a b.+ 6aa66 + ^abbb + bbbb, the unciae are 

 4, 6, 4. 



Sir Ifaac Newton gives a rule for finding the unciae of 

 any power arifing from a binomial root. Thus : let the 

 index of the power ba caUed m, then will the unciae arifc 



from fuch a continual multiplication as this, viz. 1 x — 



the required power of the firft part of the root, and end- 

 ing in unity ; and the (econd beginning with unity, and 

 ending in the required power of the fecond part ; thus, for 

 a fixth power of a + b ; 



m — I m — 2 m — z m — 4„ _, ... 



X X — X X , &c. Thus, it the 



2345 



unciae of the biquadrate or fourth power were required ; 



the rule is, i x ( = 4) x ( = 6 ) x 



I 2 3 



( = 4) x — ( = I ) ; which fliews that the unciae are 



4 



i.4» 6, 4, I. 



Or thus : The terms of any powers are compounded of 

 certain little faftums, with numbers, called uncise, pre- 

 fixed ; and the faftums are found by making two geo- 

 metrical progreflions ; the firft of them beginning from 



' a' a* a' 



firft feries 



I b b^ b^ i* b^ V' fecond feries. 



And multiplying the terms of the fame order in either 

 feries into one another ; as a* -(- a' i -f- a' i= -|- a' b^ -)- 

 a^ b* -\- a b' -r b'', out of which the fixth power of a -|- ^ 

 is compounded. 



The unciae, then, are found by writing the exponents of 

 the powers of the fecond feries, /. e. or b, under the ex- 

 ponents of the powers of the firft feries, /'. e. of a ; and 

 taking the firft figure of the upper feries for the numera- 

 tor, and the firft of the lower for the denominator of a 

 fraftion, which is equal to the uncia of the fecond term, 

 and fo for the reft. Thus, for the fixth power, we have, 



654321 

 123456 



Accordingly, — = 6 is the uncia of the fecond term of the 



o I 



fixth power ; — ^" = - = 15, the uncia of the third term ; 



5.4. 



= --- =20, the uncia of the fourth terra 



120 

 2. 3. 6 



5- 4- 3- _ 6 



1 



1. 2. 3. 4. 



6- 5^_4:J: 



I. 2. 3. 4, 



6- 5- 4- 3' 



2. 

 6 

 I 



2 



, the uncia of the fifth term ; 



6, the uncia of the fixth term ; 



— ^ I , the uncia of the laft. power. See 

 1. 2. 3. 4. 5. 6. 



BiNOMI.AL Theorem. 



UNCIAL, Un'cialis, an epithet which antiquaries give 

 to certain large-fized letters, or charafters, anciently ufed 

 in infcriptions and epitaphs. 



The word is formed from tlie Latin nncia, the twelfth 

 part of any thing, and which, in geometrical meafure, 

 fignified the twelfth part of a foot, vi^. an inch ; which was 

 fuppofed to be the thicknefs of the ftem of one of thefe 

 letters. 



UNCIFORME Os, in the carpus, is the fourth bone of 

 the fecond row ; it has its name from the Latin uncus, a 

 hook, and is compofed of a body, and a hooked, or unciform, 

 apophyfis. See Carpus, under Extremities. 



UNCINARIA, in Zoology, a genus of the Vermes In- 

 teftina, the charafters of which are, that the body is fihform 

 and claftic, obfoletelv nodulous forward ; with angulated 

 membranaceous lips ; the tail of tlie female is aciculated, 

 and that of the male armed with two cufpidated hooks in- 

 clofed in a pellucid bladder. There are two fpecies, one 

 lodging in the thick inteftines of the badger, and the other 

 in thofe of the fox. 



UNCINIA, in Botanyy from uncus, a hook, becaufe of 

 the barbed or hooked awn, on which the generic diftir.ftion 



is founded " Perf. Syn. v. 2. 534-" Brown Prodr. 



Nov. Holl. V. I. 241. — Clafs and order, MonoeciaTriandria. 

 Nat. Ord. Calamariit, Linn. Cyperoidcit, Juff. Cyperacee, 

 Brown. 



Eff. Ch. Male, Glumes imbricated every way, fingle- 

 flowered. Corolla none. 



Female, in the lower part of the fame fpike, Glumes im- 

 bricated every way, fingle-flowered. Corolla of one leaf, 



capfular. 



