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--+---------------++------------------++------------------ JULY, 1892. AUG., 1892. SEPT., 1892.
--+-------+-+-----++--+-------+-+-----++--+-------+-+----- 1 _Cal._ g Fri. 1 _Cal._ c Mon. 1 _Cal._ f Thur.
2 6 a Sat. 2 4 d Tues. 2 4 g Fri.
3 5 b Sun. 3 3 e Wed. 3 3 a Sat.
4 4 c Mon. 4 2 f Thur. 4 2 b Sun.
5 3 d Tues. 5 _Non._ g Fri. 5 _Non._ c Mon.
6 2 e Wed. 6 8 a Sat. 6 8 d Tues.
7 _Non._ f Thur. 7 7 b Sun. 7 7 e Wed.
8 8 g Fri. 8 6 c Mon. 8 6 f Thur.
9 7 a Sat. 9 5 d Tues. 9 5 g Fri.
10 6 b Sun. 10 4 e Wed. 10 4 a Sat.
11 5 c Mon. 11 3 f Thur. 11 3 b Sun.
12 4 d Tues. 12 2 g Fri. 12 2 c Mon.
13 3 e Wed. 13 _Ides._ a Sat. 13 _Ides._ d Tues.
14 2 f Thur. 14 19 b Sun. 14 18 e Wed.
15 _Ides._ g Fri. 15 18 c Mon. 15 17 f Thur.
16 17 a Sat. 16 17 d Tues. 16 16 g Fri.
17 16 b Sun. 17 16 e Wed. 17 15 a Sat.
18 15 c Mon. 18 15 f Thur. 18 14 b Sun.
19 14 d Tues. 19 14 g Fri. 19 13 c Mon.
20 13 e Wed. 20 13 a Sat. 20 12 d Tues.
21 12 f Thur. 21 12 b Sun. 21 11 e Wed.
22 11 g Fri. 22 11 c Mon. 22 10 f Thur.
23 10 a Sat. 23 10 d Tues. 23 9 g Fri.
24 9 b Sun. 24 9 e Wed. 24 8 a Sat.
25 8 c Mon. 25 8 f Thur. 25 7 b Sun.
26 7 d Tues. 26 7 g Fri. 26 6 c Mon.
27 6 e Wed. 27 6 a Sat. 27 5 d Tues.
28 5 f Thur. 28 5 b Sun. 28 4 e Wed.
29 4 g Fri. 29 4 c Mon. 29 3 f Thur.
30 3 a Sat. 30 3 d Tues. 30 2 g Fri.
31 2 b Sun. 31 2 e Wed. --+-------+-+-----++--+-------+-+-----++--+-------+-+-----
------------------++------------------++------------------ OCT., 1892. NOV., 1892. DEC., 1892.
--+-------+-+-----++--+-------+-+-----++--+-------+-+----- 1 _Cal._ a Sat. 1 _Cal._ d Tues. 1 _Cal._ f Thur.
2 6 b Sun. 2 4 e Wed. 2 4 g Fri.
3 5 c Mon. 3 3 f Thur. 3 3 a Sat.
4 4 d Tues. 4 2 g Fri. 4 2 b Sun.
5 3 e Wed. 5 _Non._ a Sat. 5 _Non._ c Mon.
6 2 f Thur. 6 8 b Sun. 6 8 d Tues.
7 _Non._ g Fri. 7 7 c Mon. 7 7 e Wed.
8 8 a Sat. 8 6 d Tues. 8 6 f Thur.
9 7 b Sun. 9 5 e Wed. 9 5 g Fri.
10 6 c Mon. 10 4 f Thur. 10 4 a Sat.
11 5 d Tues. 11 3 g Fri. 11 3 b Sun.
12 4 e Wed. 12 2 a Sat. 12 2 c Mon.
13 3 f Thur. 13 _Ides._ b Sun. 13 _Ides._ d Tues.
14 2 g Fri. 14 18 c Mon. 14 19 e Wed.
15 _Ides._ a Sat. 15 17 d Tues. 15 18 f Thur.
16 17 b Sun. 16 16 e Wed. 16 17 g Fri.
17 16 c Mon. 17 15 f Thur. 17 16 a Sat.
18 15 d Tues. 18 14 g Fri. 18 15 b Sun.
19 14 e Wed. 19 13 a Sat. 19 14 c Mon.
20 13 f Thur. 20 12 b Sun. 20 13 d Tues.
21 12 g Fri. 21 11 c Mon. 21 12 e Wed.
22 11 a Sat. 22 10 d Tues. 22 11 f Thur.
23 10 b Sun. 23 9 e Wed. 23 10 g Fri.
24 9 c Mon. 24 8 f Thur. 24 9 a Sat.
25 8 d Tues. 25 7 g Fri. 25 8 b Sun.
26 7 e Wed. 26 6 a Sat. 26 7 c Mon.
27 6 f Thur. 27 5 b Sun. 27 6 d Tues.
28 5 g Fri. 28 4 c Mon. 28 5 e Wed.
29 4 a Sat. 29 3 d Tues. 29 4 f Thur.
30 3 b Sun. 30 2 e Wed. 30 3 g Fri.
31 2 c Mon. 31 2 a Sat.
--------------++----------------++---------------- JANUARY. FEBRUARY. MARCH.
--------------++----------------++---------------- _Cal._ 1 _Cal._ 1 _Cal._ 1 6 - 4 = 2 6 - 4 = 2 8 - 6 = 2 6 - 3 = 3 6 - 3 = 3 8 - 5 = 3 6 - 2 = 4 6 - 2 = 4 8 - 4 = 4 _Nones_ 5 _Nones_ 5 8 - 3 = 5 14 - 8 = 6 14 - 8 = 6 8 - 2 = 6 14 - 7 = 7 14 - 7 = 7 _Nones_ 7 14 - 6 = 8 14 - 6 = 8 16 - 8 = 8 14 - 5 = 9 14 - 5 = 9 16 - 7 = 9 14 - 4 = 10 14 - 4 = 10 16 - 6 = 10 14 - 3 = 11 14 - 3 = 11 16 - 5 = 11 14 - 2 = 12 14 - 2 = 12 16 - 4 = 12 _Ides_ 13 _Ides_ 13 16 - 3 = 13 33 - 19 = 14 30 - 16 = 14 16 - 2 = 14 33 - 18 = 15 30 - 15 = 15 _Ides_ 15 33 - 17 = 16 30 - 14 = 16 33 - 17 = 16 33 - 16 = 17 30 - 13 = 17 33 - 16 = 17 33 - 15 = 18 30 - 12 = 18 33 - 15 = 18 33 - 14 = 19 30 - 11 = 19 33 - 14 = 19 33 - 13 = 20 30 - 10 = 20 33 - 13 = 20 33 - 12 = 21 30 - 9 = 21 33 - 12 = 21 33 - 11 = 22 30 - 8 = 22 33 - 11 = 22 33 - 10 = 23 30 - 7 = 23 33 - 10 = 23 33 - 9 = 24 30 - 6 = 24 33 - 9 = 24 33 - 8 = 25 31 - 6 = 25 33 - 8 = 25 33 - 7 = 26 31 - 5 = 26 33 - 7 = 26 33 - 6 = 27 31 - 4 = 27 33 - 6 = 27 33 - 5 = 28 31 - 3 = 28 33 - 5 = 28 33 - 4 = 29 31 - 2 = 29 33 - 4 = 29 33 - 3 = 30 33 - 3 = 30 33 - 2 = 31 33 - 2 = 31 --------------++----------------++----------------
PART SECOND.
MATHEMATICAL.
CHAPTER I.
ERRORS OF THE JULIAN CALENDAR.
It will be necessary in the first place to understand the difference between the Julian and Gregorian rule of intercalation. If the number of any year be exactly divisible by four it is leap year; if the remainder be 1, it is the first year after leap-year; if 2, the second; if 3, the third; thus:
1888 4 = 472, no remainder.
1889 4 = 472, remainder, 1.
1890 4 = 472, remainder, 2.
1891 4 = 472, remainder, 3.
1892 4 = 473, no remainder.
And so on, every fourth year being leap-year of 366 days.
This is the Julian rule of intercalation, which is corrected by the Gregorian by making every centurial year, or the year that completes the century, a common year, if not exactly divisible by 400; so that only every fourth centurial year is leap-year; thus, 1,700, 1,800, and 1,900 are common years, but 2,000, the fourth centurial year, is leap year, and so on.
By the Julian rule three-fourths of a day is gained every century, which in 400 years amounts to three days. This is corrected by the Gregorian, by making three consecutive centurial years common years, thus suppressing three days in 400 years.
