VOL. XLVI.J PHILOSOPHICAL TRANSACTIOMS. 41 



selves. Now, when any of those pairs, or two numbers which usually accom- 

 pany each other, happen, in pursuance of the foregoing rules, to be prefixed the 

 one to the 4th and the other to the 5th of April for the new moons, or the one 

 to the 17 th and the other to the 1 8th of April for the paschal limits or full 

 moons; and when any of those numbers, which generally stand single, are pre- 

 fixed, according to the said rules, to the 5th of April for the new moons, or to 

 the 18th for the full moons; in these cases those pairs or single numbers that 

 are so situated, must not be set forward, or advanced at the beginning of the 

 next period, but must keep their places during another period, if the foregoing 

 rules direct all the golden numbers to be advanced a day; which must be com- 

 plied with in respect to all the other golden numbers, except those so situated as 

 above. Instances of which may be seen in the table, under the respective periods 

 beginning with the years 19OO, 2600, 3100, and 3800. But if, in conformity 

 to the foregoing rules, all the golden numbers are to be set one day backward, 

 those pairs or single numbers, though situated as above-mentioned, must not 

 keep their places, but must move one day backward, like all the other golden 

 numbers; as they may be seen to do in the periods beginning with the years 2400 

 and 3600. 



VOL. X. G 



