The cycle of seven days being completed, we commence with the number three again, and so on until 1582, when on account of the errors of the Julian calendar, ten days were suppressed to restore the coincidence of the solar and civil year. Now every day suppressed removes the dominical letter forward one place; so counting from C to C again is seven, D is eight, E is nine, and F is ten. As F is the sixth letter, we take the remainders from 1 to 5, from 6; if the remainder be 6, take it from 6 + 7 = 13. Then 6 or 13 is used till 1700, when, another day being suppressed, the number is increased to 7. And again in 1800, for the same reason, a change is made to 1 or 8; in 1900 to 2 or 9, and so on. It will be seen by the table on the 49th page that the smaller numbers run from 1 to 7; the larger ones from 8 to 13.
From the commencement of the Christian era to October 5th, 1582, take the remainders, after dividing by 7, from 3 or 10; from October 15th,
| 1582 to 1700 | from | 6 or 13 | |
| 1700 to 1800 | " | 7 | |
| 1800 to 1900 | " | 1 or 8 | |
| 1900 to 2100 | " | 2 or 9 | |
| 2100 to 2200 | " | 3 or 10 | |
| 2200 to 2300 | " | 4 or 11 | |
| 2300 to 2500 | " | 5 or 12 | |
| 2500 to 2600 | " | 6 or 13 | |
| 2600 to 2700 | " | 7 | |
| 2700 to 2900 | " | 1 or 8 | |
| 2900 to 3000 | " | 2 or 9 | |
| 3000 to 3100 | " | 3 or 10 | |
| 3100 to 3300 | " | 4 or 11 | |
| 3300 to 3400 | " | 5 or 12 | |
| 3400 to 3500 | " | 6 or 13 | |
| 3500 to 3700 | " | 7 | |
| 3700 to 3800 | " | 1 or 8 | |
| 3800 to 3900 | " | 2 or 9 | |
| 3900 to 4000 | " | 3 or 10 | |
| 4000 to 4100 | " | 4 or 11 | |
| 4100 to 4200 | " | 5 or 12 | |
| 4200 to 4300 | " | 6 or 13 | |
| 4300 to 4500 | " | 7 | |
| 4500 to 4600 | " | 1 or 8 | |
| 4600 to 4700 | " | 2 or 9 | |
| 4700 to 4900 | " | 3 or 10 | |
| 4900 to 5000 | " | 4 or 11 | |
| 5000 to 5100 | " | 5 or 12 |
CHAPTER V.
RULE FOR FINDING THE DAY OF THE WEEK OF ANY GIVEN DATE, FOR BOTH OLD AND NEW STYLES.
By arranging the dominical letters in the order in which the different months commence, the day of the week on which any month of any year, or day of the month has fallen or will fall, from the commencement of the Christian era to the year of our Lord 4000, may be calculated. ([Appendix G.]) They have been arranged thus in the following couplet, in which At stands for January, Dover for February, Dwells for March, etc.
At Dover Dwells George Brown, Esquire,
Good Carlos Finch, and David Fryer.
Now if A be dominical or Sunday letter for a given year, then January and October being represented by the same letter, begin on Sunday; February, March and November, for the same reason, begin on Wednesday; April and July on Saturday; May on Monday, June on Thursday, August on Tuesday, September and December on Friday. It is evident that every month in the year must commence on some one day of the week represented by one of the first seven letters of the alphabet. Now let