CHRONOLOGY. 



411 



Chronolo. 



gy, Ma-he. 



m.uical. 



TABLE VII. Exhibiting the Days of the Months by the 

 Dominical Letters, both fir the Old and the New Slile. 



U-c of Ta. The dominical Jetter for the given year being found 

 We VII. from the preceding Tables, enter Table VII. with thii 

 letter at the head, and all the days in the column im- 

 mediately below it will be Sundays ; the days in the co- 

 lumn on the right hand, if there u a right hand column, 

 will be Mondays ; and the days in the column on the left 

 hand, if there is a left hand column, will be Saturdays; 

 and so on with the rest. 



O the The epact is the excess of the solar above the lunar 



epjct. y car> or t h e num ljer of days which, at any year of the 

 moon's cycle, must be added to the lunar year, to make 

 it equal to the solar year. Since the Julian year is ."fi.V 1 

 G h , and the Julian lunar year 354' 1 8 h 48' 36", the epact 

 for the first year of the lunar cycle will be 10 11 21 h 1 I ' 

 'J'J", or nearly 1 1 days. The epact for two years will be 

 22 days, and for three years 33 days, or, deducting 30, 

 it will be 3 days. Hence we shall have the following 

 Table, containing the epacts as established by the Coun- 

 cil of Nice, A. D. 325. 



But as the difference between the Julian and Grego- 

 rian years is equal to 11 days, the excess of the solar 

 above the lunar year, the Gregorian epact for any year 

 will be the same as the Julian epact for the preceding 

 year ; and hence we shall have the following Table : 



Clironolc. 



The following Table contains the Gregorian epact 

 for years when the golden number is 1 ; and, therefore, 

 to find the epact for any intermediate year, we have 

 only to add 11 for every successive year, and subtract 

 30 as often as is necessary : 



' The following is an universal rule for rinding the Universal 

 Gregorian epoch: Divide the number of centuries in rule for 

 any year by 4, multiply the remainder by 17, aud to this ndln g the 

 product add 43 times the quotient and the number 86, pact ' 

 and divide this sum by '25. The quotient thus found 

 being subtracted from the golden number, multiplied 

 by 11, will leave a remainder, which, after the thirties 

 are taken from it, will be the epact required. 



Gauss' Neiv Mel/tod of finding Easier. 



The following very curious and infallible method of Gauss' in. 

 finding the time of Easter, without any reference to the falliMe 

 lunar motions, was discovered by the celebrated German " ic '| lod t 

 mathematician M. Gauss, and is suited either to the Gre- o" t " '*" 

 gorian or the Julian calendar. 



By the aid of the preceding Table, and the following 

 rules, the time of Easter may be thus found. Having 

 taken (Kit the values of A and B from the Table, 



