R U L 



Here the terms which exprefs the condition are, 



£ Per. Mon. 



250 : 6 : 9 



correfponding terms 1000 : 4 : Q 

 where Q is put to reprefent the term required. 



Among the conditional terms, fix perfons and nine months 

 are producing, and 250/. is produced : among their corre- 

 fponding terms, four perfons and Q are producing, and 

 1000/. is produced. 



But it being impofiible to multiply the producing terms 

 in the fecond line, and the produced in the firlt, becaufe Q 

 is unknown ; therefore, multiply the producing terms of 

 the firft line by the produced in the fecond, and divide by 

 the product of the reft. 



m , ... _ 6 x 9 x 1000 , 



Then will Q = = 6 x 9 = 54- See 



* 4 x 250 y 



Mr. Dodfon's Anti-Logarithmic Canon, p. 38, et feq. 



But if the notion of producing and produced terms 



mould feem obfcure, thofe who have a knowledge of the 



doftrine of compound ratios will ealily perceive that, in the 



foregoing queilion, Q is to 9 months in the compound 



ratio of four perfons to fix perfons inverfely, and of 1000/. 



1000 



to 2Co/. dire&ly, that is, — = — 



9 4 



6 x 9 x 1000 , c 



— 54, as belore. 



therefore Q 



250 



And in like manner 

 4 x 250 



may other queftions, relating to the compound rule of pro- 

 portion, be dated and folved, however complex. 



The above rule may be expreffed fomewhat Ampler, as 

 follow : 



Rule 2. — Set that term, which is of the fame kind with the 

 anfwer, on the right, and take any two of the other given 

 terms which are of the fame name, and confider, from the 

 nature of the queilion, whether, if thefe three were the 

 only given terms, the anfwer ought to be more or lefs than 

 the above-mentioned right-hand term, and arrange thefe 

 two terms accordingly, as in the rule of three. 



Confidering dill the fame right-hand term as common to 

 every dating, take two other terms which are of the fame 

 kind, and arrange them as above, according as, in this cafe, 

 the anfwer ought to be more or lefs than the right-hand 

 term ; and proceed in the fame manner with every pair of 

 terms that are of the fame name. Then multiply all the 

 firft terms together for a divifor, and all the other terms to- 

 gether for a dividend, and the quotient thence arifing will 

 be the anfwer fought. 



Example. — If 248 men, in 5 days of 11 hours each, can 

 dig a trench 230 yards long, 3 wide, and 2 deep ; in how 

 many days, of 9 hours each, will 24 men dig a trench 420 

 yards long, 5 wide, and 3 deep ? 



Men 



Hours 



Length 



Width 



Depth 



H 



9 



230 



3 



2 



Then 



.24S 



420 ) :: 



II X 420 X 



5 days, common term. 



288^ Jays, the 



24 x 9 x 230 x 3 x 2 

 term required. 



Rule, Central. See Central. 



Rule, in a monadic fenfe, is a fyftem of laws, or con- 

 stitutions, by which religious houfes are rftabhftled and re- 

 gulated ; and which the religious make a vow to oblerve at 

 their entrance. 



The monadic rules are all to be approved of by the pope, 



RUM 



in order to make them valid. The rule of St. Benedict is, 

 by fome authors, called the holy rule. 



Thofe of St. Bruno and St. Francis arc, of all others, the 

 mod auftere. See Carthusians. 



When a religious cannot fupport the aufterities of his 

 rule, he fues for a difpenfation. 



Rule, in the Canon Law. The rule de vcrifimili no- 

 titia, of probable notice, in the Romilh church renders all 

 provifions to a benefice, vacant by death, null, if it appear, 

 that, from the day of the deceafe to the day of the date of 

 the provifions, or to the day when the courier arrives from 

 Rome, there has not been time fufficieiit for regular notice 

 of the perfon's deceafe to be conveyed to the pope. 



Provifions are even null, if it be proved the courier fet 

 out before the perfon was deceafed. This rule was, ac- 

 cording to the old conftitution, ftridlly obferved in France ; 

 in other countries the pope finds frequent occaiions to 

 difpenfe with it. See Provisions. 



Rule of twenty Days, Regula viginti Dierum. By this 

 rule, if an ecclefiaftic refign his benefice, to make the re- 

 fignation valid, the refigner mud furvive its admiflion in the 

 court of Rome twenty days. If he die before the expira- 

 tion of the twenty days, the refignation is void, and the 

 benefice becomes vacant by death. 



This rule does not hold of the provifions of ordinary col- 

 lators ; nor of fimple and pure refignations into the hands of 

 the ordinary ; but only in cafe of provilions of the pope, 

 difpatched on refignations in favorem. 



This rule anciently extended to fuch as refigned in time 

 of health, as well as of ficknefs. Pope Boniface reftrained 

 it to the latter ; whence it is commonly called regula de in- 

 firmis rejignantibus. 



Rule de Publicandis. By this rule, the refignee of a 

 benefice, if he have a provifion from the court of Rome, is 

 obliged to pnbhfh the refignation, and take pofTeilion within 

 fix menths ; or, if he have it from the ordinary collator, 

 within one month. Otherwife, if the refigner die, the re- 

 fignation becomes null. 



Rules of Court, in Law, are certain orders made, from 

 time to time, in the courts of law, which attornies are 

 bound to obferve, in order to avoid confufion ; and both the 

 plaintiff and defendant are at their peril alfo bound to pay 

 obedience to rules made in court relating to the caufe de- 

 pending between them. It is to be obferved, that no court 

 will make a rule for any thing that may be done in the or- 

 dinary courfe ; and that if a rule be made, grounded upon 

 an affidavit, the other fide may move the court againft it, id 

 order to vacate the fame, and thereupon (hall bring into 

 court a copy of the affidavit and rule. On the breach and 

 contempt of a rule of court an attachment lies ; but it is 

 not granted far difobedience to a rule, when the party ha3 

 not been perfonally ferved ; nor for difobeying a rule made 

 by a judge in his chamber, which is not of force to ground 

 a motion upon, unlets the fame be entered. A rule of 

 court is granted every day, whilft the courts of Weitmiufter 

 fit, to prifoners of the king's bench, or Fleet prifon, to go 

 at large about their private affairs. 

 Rules, Clerk of the. See Cleuk. 



Rule Water., in Geography, a river of Scotland, which 

 runs into the Teviot, 4 miles S.W. of Jedburgh. 

 RULER, Parallel. See Paiiallel Ruhr. 

 RULLE, in Geography, a town oi Weftphalia, in the 

 bifhopric of Ofnabruck ; 7 miles N.E. ol Ofnabruck. 



RUM, a fpecies of vinous Spirit, drawn l>y ditlillation 

 from fuga.-canes. 



The word ru:n is the name it bears among the native 

 Americans. 



Rum 



