MKMOIR EXPLANATORY OK A NEW PliRPETl AX CALENDAR. 109 



Accordingly, using as before the day of the year and the constant, which for our pre- 

 sent purpose (see note to day 365th,) are together, always 6, or ( 1 -f- 5) the 



S t "), with its I part, (a whole No.) or 1, added lo 6, make the sum 12 and Rem. 5. It begins and ends on Tn. 



In this list of years, Saturday corresponds in one leap year (12.) with the last da) <>l 

 the year only; in another leap year (24,) with the first day only; and in two common 

 \ cars, (7 and 18,) being the third and second after leap year, with both the first and last 

 day i but it is in years 1 and 29 alone, that all the eonditions of the Julian Year become 

 exactly alike. 



Thus, after a lapse of 28 entire years, 

 (of which the . 21 common years contain . 7665 days, or exactly . 1095 weeks, 

 and the . . . 7 leap years contain . . . 2562 days, or exactly . 3GG weeks, 



making in all . 28 years, or 10237 days, or . . . • 1461 weeks,) 



between the first days of January in tin- years I and 29, both of these years being the 

 first alter bissextile, Sati rdai returns to be the first and also the la.-t day of the year. In 

 the years .io, 31, 32, v\< ., down to 57, all the days of the week will recur in tli«- same 

 order as in 2. .!. I. down to 'j'.). at the beginning and end of years having it common re- 

 lation * itli leap j i ar, and so on fm ■ ver. 

 vol. s. 



