600 Notes 071 Capt. Shortredes Scheme. [No. 116. 



and ends the 2d year of that series ; the 8th day (i. e. the 1st week- 

 day with which we commenced) begins and ends the 3d year ; and the 

 9th (or 2d day) begins the 4th year ; but does not end it, because it has 

 366 days ; the 10th (or 3d day of the week) ends it : and so on. 



5. Let the days of the week be called a, b, c, d, e,f, g, without, at 

 present, particularising which day of the week is called a, or b, or c, 

 &c. The following Table is constructed on the principle explained in 

 4. It consists of series of 4 years each which are marked 1st, 2nd, 3rd 

 and 4th ; the days of the week that commence these years are placed 

 vertically underneath ; the fourth year has always two letters ; the 

 first indicating the day of the week on which that year begins, the 

 second letter, the day on which it ends. The arrangement commences 

 with the 1st day of the 1st year of any century; with the year 1, or 

 101, or 1601, or 1801 ; and the 1st of January is supposed to fall on a 

 day of the week called a. 



Series. 1st year. 2nd year. 3rd year. 



1 a b 



2 f g 



3 d e 



4 b c 



5 g a 



6 e f 



7 c d 



8 a b c d and e 



6. After 7 series of 4 years each=28 years, the same succession 

 commences. 



7. From Table (1) may be formed another (which will be given here- 

 after) exhibiting all the years of a century that begin with the same 

 day ; but it will be more convenient to shew first, how the centuries 

 commence ; and of centuries, the centuries of Old Style first ; reminding 

 readers that, according to Old Style, every 4th year, without exception, 

 is a leap year, and consists of 366 days. 



8. By attending to Table (1) it will be seen, that the series consist 

 of lines of years and days of the week in succession ; each series has 4 

 years and 5 days of the week. If we fancy weeks lengthened out into 

 one uninterrupted line of days, the first day a of the second week 

 will be called the 8 th day ; 4 weeks will be called 28 days ; and Table 



d year. 

 c 



4th year, 

 d and e 



a 



b and c 



f 



g and a 



d 



eand f (Table 1.) 



b 



c and d 



g 



a and b 



e 



f and g 



