Our Calendar: The Julian calendar and its errors. How corrected by the Gregorian. Rules for finding the dominical letter, and the day of the week of any event from the days of Julius Caesar 46 B.C. to the year of our Lord four thousand; a new and easy method of fixing the date of Easter. Hebrew calendar; showing the correspondence in the date of events recorded in the Bible with our present Gregorian calendar. Illustrated by valuable tables and charts.Packer, George Nichols
History
Our Calendar: The Julian calendar and its errors. How corrected by the Gregorian. Rules for finding the dominical letter, and the day of the week of any event from the days of Julius Caesar 46 B.C. to the year of our Lord four thousand; a new and easy method of fixing the date of Easter. Hebrew calendar; showing the correspondence in the date of events recorded in the Bible with our present Gregorian calendar. Illustrated by valuable tables and charts.
Packer, George Nichols
Calendar; Jewish calendar
Every omission of the intercalary day, which occurs three times in 400
years, will cause the full moons to fall one day later; for example, on
the 13th of the month instead of the 12th. On the other hand, as has also
been shown in the preceding chapter, the error of the lunar cycle is one
day in 300 years; so that at the end of every 300 years the full moons
will fall one day earlier, for example, on the 11th of the month instead
of the 12th. Now, when both equations occur together, they compensate each
other; that is, while the solar equation would cause the full moon to fall
on the 13th, the lunar equation would make it fall on the 11th; therefore,
no correction is to be made--there is nothing to correct. Had they
occurred singly, the full moon, at the beginning of the cycle, would have
fallen either on the 13th or the 11th; but as they occur together, no
change is made; and the full moons of the calendar will remain as they are
for the next one hundred years.
Hence, the date of Easter may very easily be determined, as indicated in
the following tables (q. v.). It is known by actual calculation that the
paschal full moon fell on the 12th of April in the year 1596, which moon
was the first of a cycle after the reformation of the calendar by Gregory.
Now, by taking the epact of the following years of the cycle, which are
11, 22, 3, 14, 25, etc., from 12, the date of the first paschal moon, and
you will have all the moons of the cycle. Of course, the epacts 22, 25,
etc., cannot be taken from 12, but being carried back from the 12th of
April, they will show on what day in March the full moons fall. When the
epacts are greater than 12, it would be more convenient to take them from
43, as the number of days in March being 31, so 12 + 31 = 43.
To find the paschal moons of the cycle, we have then this rule: If the
epact is less than 12, take it from 12; if greater, take it from 43, and
the remainder will be the date of the paschal moon; unless the full moon
fall before the 21st of March, in which case the following moon will be
the paschal moon, which happens thirty days later. But when the solar
equation occurs in 1710, causing the cycle to commence with the 13th of
April, then the epacts must be taken from 13, or 13 + 31 = 44. And again
in 1900, the correction makes the cycle commence on the 14th of April; so
the number from which the epacts are taken is 14, or 14 + 31 = 45, and so
on. Whenever there is a change of date of the paschal moon in the
beginning of the cycle, as there is again in 2204, 2318 and 2413, etc., as
may be seen in the following tables, then the epacts must be taken from
that date, or that date plus 31, the number of days in March.
Public-domain text, read in full here on John Shaqi.
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