BAR 



wl»tcT> is ftiven, and then fi;u! how much of the otlier com- 

 modity will amount to that fum at the rate propoftd. 



Example I. — How maiiv pouncU of cotton at lod. per 

 lb. mild be given ill barttr f(jr 5 C. 3 qrs. 141b. of pepper 

 at 3 1 10 s. pc- C. ? 



Fir!\, find the value of the cominodity, the quantity of 

 which is given, thus : 



C (^ lb. 1. 8. 



5 3 14 at 3 10 



Or, by decimals, 

 5C. 3CL. 14 lb. =5.735 

 3 1. 10s. = 3.5 

 And I : 3.5 ;: 5-785 : 20.5625 = 

 20 1. II s. 3(1. tlie value of the 

 p.pptr. 



■Secondly, fi"d how inijch cotton at icd. per lb. may be 

 purchafcd for zo 1. 11 ?. 3 d. thus : 

 _d. lb. 1. s. "d. 



ID J I j: 20 II 3 : 493.5=40. I qr. I7nb. 

 20 



411 



12 



10 1 49.^5 



493-5 



As the values or prices of the goods bartered arc always 

 equal, it is evident that the product of the quantities bar- 

 tered into their lefpeclive rates mull be equal. Hence we 

 obtain the foilovving rule by which many quellions of this 

 nature may be folvtd ; viz. 



Multiply the given, quantity and rate of one commodity, 

 and the product divided by the rate of the other commo- 

 dity will give the quantity ; or divided by the quantity, 

 will give the rate. 



Example n. — How many yards of linen at 4 s. per 

 yard may be had in barter for 1 20 yards of velvet at 15 s. 

 6 d. per yard ? 



yds. fixpenci's. 



120 X 



3720, and-^- — =: 465 yard 



See ExcMANOR. 



BARTH, John, in Bi^^mp'^y, a fifherman at Dunkirk, 

 was born in 1^51, and rofe by his courage and r.aviil ikill, 

 firft to the coinma:;d of an armed galliot in 1675, ''•"'' ■''^ 

 length, in 1692, to the rank of commodore of a fquadron 

 in tlie "-avy of Fr.mce. Dy his nautical condutl and intre- 

 pid br'.very he performed many fignal exploits, and rendered 

 nimfrif the terror of the narrow fcas. In copfcquenee of 

 one of hi^i gallant aftions, he was ennobled by Louis XIV.; 

 but lie flill retained the rough manners of a tar. " [olui 

 Barth," faid the king to him on one occafion, " I have 

 made you a commodore." John replied, " You have done 

 right." This naval officer, dillinguiflied mor,; by daring 

 and prompt tnterprifes tlian by any comprehenlive and com- 

 plicated plan, di;d in 1702, and was buncd in the great 

 church of Du.ikivk. Ncuv. Dift. Hillor. 



BARTHE, Nicholas Thomas, ^vas the Ton of a mer- 

 chant at Marfi-illes, and born in that city in 1733. He w;is 

 educated under the fatiiers of the oratory ; and obtaining a 

 prize from the academy of his natiTc place, he aiterwaids 

 became a member of it. His father had deflintd him for 



BAR 



th.e bar ; but his talents led him to the cultivation of polite 

 literature and poetry. Removing to Paris, he devoted liim- 

 felf to the theatre; and in 1764, began to write for the 

 ftage. His pieces v.-ere " L'Amateur," " FaulTes Infide- 

 lites," " I^a Mere jaloufe," and " L'Homrac perfonnek" 

 The two fir'.t were well received, but the lait did not pofTefs 

 fufii-iert encrgv and vivacity to plcafe the public. Barthc 

 then ceafed to write for the ilage, an'! engaged in a tranfla- 

 tion of Ov'd's " Art of Love." He alfo pubilfiicd a col- 

 leftioh of fugitive pieces in verfe, in which Ip.ciiti (jf com- 

 pofition he ixecllid. His epilUes are alio admired for their 

 p!iih)foij!iical gaiety. Bi^rthe blended with impctuofity of 

 temper a friendly licart. Attached to focia! pleafures, he 

 palled hi^ t-me chiefly at Paris ; and after having- undergone 

 tlie operation for an incarcerated iieruia, died in this city in 

 1785. Nouv. DIft. Hifl.r, 



Barthe, Df jVc//. J- (./-«)> i^i G!fr^rii[,hy, a tov.^n of France, 

 and pri^'cipa! place of a dillrift, in tlie department of th« 

 higher Pyrenees, 6 leagues fouth of Taibes. N. iat. 43' 4'. 

 E. lor.g. o^" I 7'. 



BAilTHKLEMY, J.->HN James, \nB}o-rnphy,-A French 

 abbe, diitiiiguiniedby his literarv eliara£ler, was born in Jan. 

 1716, at Cniria, a fmall port in Pro .encc. At the age of twelve 

 years he was lent to Marfcilles, and purfutd his Ihidies in the 

 college of the oratory urderthe iuftruftiois of father Remud. 

 As he intended to devote himfelf tothetccltliallicalprofdrion, 

 he removed to the Jefuit'scollegrforthelludy of theologyand 

 philofophy ; but diiTRtishid with, his mailers, he formed a plan 

 of private Ihidy, whieii ccmpreheiided the Greek, Hebrew, 

 Chaldean, and Syrian languages, ai-d in the profccution of 

 which he brought on a d-ingerou<i illncfs. Upon his rccoveiy 

 he entered into the feminary, where he received the clerical 

 tonfure ; and by the F-fTillance of a yourg Maronite, he be- 

 came a proficient in tlie Arabic language. From Marfeilles 

 he retired to his famdy at Aubagne, and in this donieftic re- 

 treat purfucd his iludies with un.ibated application. Among 

 his friends at Marleilles, whom he occalionally vifited, was 

 M. Cary, who polfefTcd a choice cabinet of medals and an 

 appropriate library, to which he had accefs ; and he was 

 thus Ld to indulge the predileclion for this kind of ft udy, 

 which dillinguilhed his refearches and charafter in the pro- 

 grefs of his life. In i 744 he vilited Paris, and was intro- 

 duced by M. de Boze, keeper of the royal medals and fe- 

 cretary of the academy of infcriptions, to the moll eminent 

 members of the three academies, and alfo recommended to 

 be his affiflant in the care of the cabinet of medals. In 

 1747, he fucceedcd M. Burette as aP.bciate to the academy 

 of infcriptions, M. Le Beau declining a competiti in ; and 

 when he was noir.inated by the niiniilrr to the office of fe- 

 cietar^- to the academy, he waved the nomination in fa- 

 vour of M. Lc Beau, as an acknowledgment of his libe- 

 rality. In return, M. Le Beau, when he rcfigntd this of. 

 ficc, gave his intereft to Barth.clemy, who fucceedcd him. 

 Thus did thtfc di:linguiihed rivals vie with each other in the 

 cxcrcife of a Ubera'ity which reflected cqi'al honour on 



Me 



of tf 



le academy 



both. Barthelemv enriched tlie 



by many communication? relating to ancient monmiients, 

 and among others, by a valuable diifcrtation on the ir.fcrip- 

 tions found at Palmyra by the Eiigliili travellers. On the 

 death of M. de Boze, in 17 "3, Barthchmy fucceeded him 

 as pnncipal ki-cper of tl'.e medals. In the following ytar 

 he followed M. de Stainville, afterwerds duke de ChoiJeul 

 and prime minifter, to Rome, and made a tour to Naples, 

 where the fubterraneous trealures of Herculanenm and 

 Pompe'a engaged his pavtic.ilar attention, and where he ex- 

 erted hi'mf-If with peculiar zeal in the prcfcrvation of the 

 Greek manufcripts. As he was not allowed to make any 



tianfcripts 



