EPA 



EPA 



not very solemn or important. There 

 are envoys ordinary and extraordinary, 

 as well as embassadors ; thu\ arc equally 

 the same under the protection of the 

 law of nations, and enjoy all the privi- 

 leges of embassadors, only differing from 

 them in this, that thr same ceremonies 

 are not performed to them. 



ENURE, in law, to take place or ef- 

 fect, or be available, as a release made 

 to a tenant for a term of life shall enure 

 to him in the reversion. 



EPACRIS, in botany, a genus of the 

 PfiitHiidria Monogvnia class and order. 

 Calyx five-parted ;' corolla funnel-form, 

 villous ; nectariferous scales, growing to 

 the germ ; capsule five-celled, five-valv- 

 ed ; the partitions from the middle of the 

 valves ; sei-ds minute and numerous. 

 There are four species, natives of New 

 Zealand. 



EPACT, a number arising from the 

 excess of the common solar year above 

 the lunar, whereby the age of the moon 

 may be found out every year. See 

 CHRONOLOGY. The excess of the solar 

 year above the lunar is 11 days ; or the 

 epact of any year expresses the num- 

 ber of days from the last new moon of 

 the old year, which was the beginning of 

 the present lunar year, to the first of 

 January. The first year of the cycle of 

 the moon, the epact is 0, because the 

 lunar year begins with the solar. On 

 the second, the lunar year has begun 11 

 days before the solar year, therefore the 

 epnct is 11. On the third, it has begun 

 twice 11 before the solar year, therefore 

 the epact is 22. On the fourth, it begins 

 three times 11 days sooner than the 

 solar year, the epact would therefore be 

 33 ; but 30 days, being a synodical month, 

 must that year be intercalated ; or that 

 year must be reckoned to consist of 

 thirteen synodical months, and there re- 

 mains three, which is the true epact of 

 the year; and so on to the end of the 

 cycle, adding 11 to the epact of the last 

 year, and always rejecting 30, gives the 

 epact of the present year. Thus, to ad- 

 just the lunar year to the solar through 

 the whole of 19 years, 12 of them must 

 consist of 12 synodical months each, and 

 7 of 13, by adding a month of 30 days to 

 every year when' the epact would exceed 

 30, and a month of 29 days to the last 

 year of the cycle, which makes in all 

 209 days, i. e."l9xll; so that the inter- 

 calary or embolimaean years in this cycle 

 are 4, 7, 10, 12, 15, 18, 19. 



If the new moons returned exactly at 

 the same time after the expiration of 



nineteen years, as the council of Nice 

 supposed they would do (when they fix- 

 ed the rule for the observation of Easter, 

 and marked the new moons in the calen- 

 dar for each ye?r of the lunar cycle) then 

 the golden number, multiplied by 11, 

 would always give the epact. But in a 

 Julian century, the new moons antici- 

 pate, or happen earlier, than that coun- 

 cil imagined they would by _8_ of a day. 

 In a Gregorian common century, which 

 is one day shorter than a Julian century, 

 they happen 1.7. of a day la'.er, (1 day 

 A = W' Novv X 3 - ji for the 

 three common centuries, but J* oeing 

 subtracted, on account of the Gregorian 

 bissextile century, there will remain 4.3'. 

 Therefore, in four Gregorian centuri -s, 

 the new moons will happen later by .43 

 of a day, and the epacts must be de- 

 creased accordingly. 



At present the "Gregorian epact is 11 

 days short of the Julian epact ; but the 

 quotient of the number of the centuries 

 divided by 4, which at this time is 4, mul- 

 tiplied by .4.3, with the addition of the re- 

 mainder 1 multiplied by ll, makes in all 

 but l_y>, or 7 days +^4 . therefore |6. t 

 i. e. 3 days -f- 1 must be added to com- 

 plete the 11 days. Whence we have the 

 following 



General rule for finding the Gregorian 

 Epact Jor ever. Divide the centuries of 

 any year of the Christian sera by 4, (re- 

 jecting the subsequent numbers ; multi- 

 ply the remainder by 17, and to this pro- 

 duct add the quotient multipled by 43 : 

 divide the product -f- 86 by 25 : multiply 

 the golden number by 11, from which 

 subtract the last quotient ; and rejecting 

 the thirties, the remainder will be the 

 epact. 



Example for 1808. 



18-^-9 = 2 



2 x 17 = 34 



43 x 4 4- 34 =206 



206 -f- 86 -i- 25 = 11 



11 X 4 (Gold. No.) = 44 



44-11 



= 1 3 = Epact. 



30 



Jl shorter ride for finding the epact until 

 the year 1900. Subtract 1 from the gold- 

 en number, and multiplying the remaiir- 

 der by 11, reject the thirties, and you 

 have the epact. 



