1 N T 



4.is fub|ecls who retain iheir allegiance, are excommunicated, 

 and the whole country ia put under an interditl. In the 

 reign of king John, the kingdom of England lay under a 

 papal interdict, for above fix years together : it began A. D. 

 120S. 



In imitation of the popes, the bifhops alfo foon began to 

 interdict ; and it became a common thing for a city, or 

 ■town, to be excommunicated for the fake of a fingle perfon 

 whom they undertook to fheltcr; but this feverity was found 

 to have fuch ill effects, that they have been obliged to mode- 

 rate it. 



An interdict is denounced, and taken off again, with the 

 fame formalities as an excommunication. 



Interdicts, in the Reman Law, certain formula of 

 words by which the praetor, when the pofleflion of any 

 thing was contefted between many, ordered or forbade fome- 

 thing to be done with it, till the right or property (hould 

 be legally determined. 



V'liich formula: were called interdifts, becaufe they re- 

 lated to the poffeflion of the thing in the interim, or till the 

 right was afcertained. 



Thev liad three kinds of mlcrd\€i%, prohibitory, rejlitutory, 

 and exhihitory. Prohibitory, were thofe by which the judges 

 forbade any one to vex another in the poireffion of any thing 

 legally belonging to him. Rejlitutory were thofe by which 

 the judges appointed any one, who had been expelled out of 

 his eftatc to be repofleffed, before his right was legally afcer- 

 tained ; and this was the fame with what they called the re- 

 ir.tegranl. Exhibitory were thofe by which any thing in dif- 

 pute was ordered to be exhibited ; as a teftament, &c. 



There was alfo a fecond divifion of interdicts ; inz. into 

 adipifands, rctinaida, and recupcrand^ : the firll tending to 

 the acquiring a new pofleflion, as the interdid quorum bonorum. 

 Sec, the fecond to the keeping an old one till it was farther 

 determined, as the uti pojidelis, &c., the laft to the recovering 

 one Jolt, as imje li, &c. 



INTERDICTION 0/ IVater and Fire, a fentence anci- 

 ently pronounced againft fuch as, for fome crime, were to be 

 ba::i'ilied. 



They were not direftly adjudged to banifliment ; but by 

 giving order, that nobody ihould receive them, but deny 

 .them fre and 'water, they were condemned, as it were, to 

 a civil death : and this they called kgitimum exilium. Livy. 

 See ExiLK. 



INTEREST, a fum of money reckoned for the loan 

 and forbearance of fome other fum, lent for, or due at, a 

 certain time, according to fome certain rate. 



The fum lent, or forborn, is called ihe principal, becaufe 

 It is the fum that procreates the intereft, or from which the 

 interefl is reckoned. 



Interell is eiiher Jimple or compound. 



IsTKHK^ir, Jimple, is that counted from the principal only. 

 Le': p reprelent the principal, n the number of years or 

 parts of a year, r the interell of i/. for a year, and m the 

 amount of the principal p for the time n at the rate r ; and 

 fince the amount of i/. for one year is i + r, the amount 

 of l/. for B years, muft be 1 + n r ; the interell of the 

 principal^ at the rate r in n years muft be^« r ; and il. : 

 I + n r :: p : p + p n r = m the amount : from this general 

 theorem we can eafily deduce problems for refolving all the 

 cafes that occur in fimple intere.1. 



Prob. I. — Having any principal fum, and time, and rate 

 of interell given, to find the amount : RSm=:p+pnr=: 

 p X t -\- n r ; VIC (hall have lliis rule : multiply the intereft 

 of i/. for A year by the given number of years. Add unit/ 

 Jo the produft and multiply the fum by the given principal : 

 this fecend produft will be the amount required. £. g. 



I N T 



what fum will 567/. 10s. amount to in nine years at y^r cent, 

 per annum P Here p — 567.5, n := 9, and r = .05 ; there- 

 fore m=pXI-rnr:zz 567.5 X 1 H" '45 = 822. S75 = 

 822/. ly^f. 6d. Or if it were required to find the amount of 

 one penny at 5 per cent, fimple interell in 1780 years; 

 p— id., n zzi 1780, and r =. .05, therefore m = 1 x 

 1 -j- 89 = 90 ^. = -fS. 6d. 



If the time given does not confift of whole years thefra^ 

 tional part may be eafily reduced to decimal parts of a 

 year. 



Prob. 2. — Having the amount of any principal at a given 

 rate in a given time, to find the principal ; it appears. 



from the theorem. 



/■ X I + 



that/>= ="- 



/. e. divide the amount by the produft of the time and intereft 

 of i/. for a year with unity added to it. E. g. what principal 

 will amount to 822/. 17.1. 6d. in nine years at ^ per cent. per 

 annum ? Here m — 822/. 17J. Gd. or S22.875, ^""^ "> *" ^* 



before : therefore = -■ "' '^ = 567. ?, or 567/. i cs. 



I -r H »• I + .45 . 



Prob. 3 — Having the amount of a given principal at a 

 given rate, to find the number of years. From the theo- 

 rem we eafily deduce, by tranfpofition and divifion, n ■=. 



-, viz. fubtraft the principal from the amount, and 



divide the remainder by the produdl of the principal and in- 

 terell of i/. for a year. E.g. in what time will 567/. los. 



amount to 8 2 2/. 1 71. (jd. at 5 per cent, per annum ? n — = 



822.8 75 - 567 -> ^ i55-_375 ^ 

 28.375 28.375 ^' 



Prob. 4. — Having the amount of a given principal in a 

 given time, to find the rate, and confequently the intereft 



tier cent. From the theorem we eafily derive r = i » 



. . P". 



1. e. fubtraft the principal from the amount, and di- 

 vide by the product of the principal into the number 

 of years; e. g. at what rate per cent, will 567/. ics. 



amount to 822/. lyj-. 6d. 



Here — - 



-.67. 



and, therefore, the 



^ 3_7i 



5107.5 5107.5 



interell is ^ per cent. 



Prob. 5. — The annual intereft of any principal/ at the 

 rate r, is p r ; i. e. multiply the principal by the intereft of 

 ll. for a year, e.g. the intereft of 75/. for one year at 3 per 

 cent, is 75 x ,03 — 2.25 = 2/. 5J. The intereft of 157/. 

 l-js. 6d. at ^ per cent, is 157. S75 (reducing the 17/. 6d. to 

 decimals of a pound) x .05 = 7.^937) — 7/. i7-f- lo^^d. 

 The intereft of any principal p at the rate r for /; years, is 

 pr n ; obtained by multiplying the principal, rate, and num- 

 ber of years. 



The daily intereft is found by dividing the annual intereft 

 by 365 ; thus .05, being the intereft of one pound for one 

 year at 5 percent., divided by 7,(1^, the quotient will be 

 .OCO1369, Sec. which is the intercit of one pound for one 



day at the fame rate. ' And — =: .0000821 is the int£rc(l 



of one pound for one day, at 3 per cent, per annum. The in- 

 tereft for one day, at any rate, being thus found, titat interell 

 inu'tiplitd by 2, 3, 4, J, 6, &c. gives the intereft of one 

 p: und f( r any number oi days ; and thus die following table 

 of fimple intereft fw any number o4 days is eafily mule. 



' ' ATabJ-E 



