1841.] Notes on Capt. Shortrede's Scheme, 599 



Fourth. The vertical columns of dates are found in the same order 

 and succession in all the months, but under different days of the 

 week : the agreements noticed in Obs. first excepted. 



Fifth. The dates of the first column of January, and similarly the 

 other columns, fall in May, one day of the week later ; in April and 

 July one day earlier than they do in January. 



Sixth. The dates of the 1st column of January (and similarly all the 

 others) will in August fall later in the week by one day than they do in 

 May ; and in September and December one day earlier than they do in 

 April and July. 



Seventh. The same dates in June fall earlier in the week by one day 

 than they do in September and December ; and in February, March and 

 November one day earlier than in June, or one day later than in August. 



Eighth. If the 1st of January fall on any day of the week A, the fol- 

 lowing dates will fall on the same day : — 



22. 29th of January and October. 



26. — of February, March and November. 



23. 30th of April and July. 

 28. — of May. 

 25. — of June. 



27. — of August. 



24. 31st of September and December. 



3. The dates and months, exhibited in Observation 8th of Article 2, 

 are grouped together in Capt. Shortrede's scheme on the inner or 

 smallest card, and arranged in a peculiar order, as the author expresses 

 himself, having reference to the eight Observations of Article 2. 



4. Some years have 365 days and some 366 : three years in succes- 

 sion have 365 days each, and the fourth year (with exceptions to be 

 noticed) has 366 days. The year that has 365 days has 52 weeks and 

 one day over ; therefore, whatever day of the week begins such a year, 

 also ends it. During three such years three days of the week in succession 

 begin and end those years ; the 4th day begins the 4th year ; but as 

 this year has 366 days, which are equal to ^2 weeks and 2 days, the 

 day after the 4th day, that is, the 5th day, will end the year. Calling 

 these four years a series, we may say that whatever day of the week begins 

 the series, the 5th day in succession ends it. The 6th day in succession 

 begins and ends the 1st year of the next series ; the 7th day begins 



1. 



8. 



15. 



5. 



12. 



19. 



2. 



9. 



16. 



7. 



14. 



21. 



4. 



11. 



18. 



6. 



13. 



20. 



3. 



10. 



17. 



