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To find the Age or Change of the Moon by the Epat, the Distich is,

To Janus 0,2, 1, 3, 4, 5, 6,

8, 8, 10, 10, thefe to the Epacts fix;
The Sum, bate 30, to the Month-Day add,
Or take from 30, Age or Change is had.

The Senfe of which is, that, if to the Epact for the Year the Number of the Month, taken in the Order they stand in the Diftich, be added, and to this add the Day of the Month, this Sum, rejecting 30 if it exceed that, is the Moon's Age; or, taking the Sum of the Epact and Number of the Month from 30, it gives the Day of the Moon's Change in that Month.

The Numbers for each Month are, for January 0, Fr bruary 2, March 1, April 2, May 3, June 4, July 5, Au guft 6, September 8, October 8, November 10, December 10.

Exam. 1. To find what Day of the Month of July, 1754, the Moon changes, and the Age of the Moon on the twelfth of that Month.

The Gregorian Epact for 1754 is 6
Number for July add

5

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From 30

Subtract 11

19 Day of the (Change.

23 Days of the Moon's Age.

Exam. 2. To find the Change in October 1754, and the

Moon's Age the twenty-fourth Day.

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To find the Time of the Moon's Southing, and of High
Water at London Bridge.

Moon's Age multiplied by 4, divide
By 5 for Southing, add 3 for the Tide.

Exam. I. The Moon's Age the twelfth of July, 1754, is 23 Days.

Multiply by 4

5) 92 (18 Hours.

5

42

40

2.

The Moon will be South eighteen Hours and twenty-four Minutes after Noon, that is, at twenty-four Minutes paft Six, on the thirteenth of July, in the Morning; to which adding three Hours, it gives twenty-four Minutes paft Nine in the Morning for the Time of High Water at London Bridge.

Exam. 2. The twenty-fourth of October, 1754, the Moon's Age is 8 Days.

Multiply by 4

5) 32 (6 Hours.
30

2

Therefore the Moon fouths twenty-four Minutes after Six at Night; to which three Hours being added, it gives twentyfour Minutes after Nine for the Tide.

To find the Day of Eafter for the New Style.

It was ordered, by the Nicene Council, that Eafter Sunday fhould be kept on the firft Sunday after the first full Moon - which happened upon or after the twenty-first Day of March, the Day on which they thought the Vernal Equinox happened.

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Tho' this was a Mistake, for the Vernal Equinox that Year fell on the twentieth of March. But yet, the full Moon that fell on or next after the twenty-firft of March they called the Pafchal full Moon. And, by the late Introduction of the Gregorian or New Style, the Equinox will now always happen on the twentieth or twenty-firft of March. And the Feaft of Eafter is now to be kept on the next Sunday after the Pafchal full Moon, or the full Moon that happens after the twenty-firft of March; but, if the full Moon happens on a Sunday, Eafter-Day is to be the next Sunday after.

All the other moveable Feafts depending on Eafter, I fhall endeavour to fhew the true Method of finding it. This will be best done, for any future Time, by the Table compofed by the Right Honourable GEORGE Earl of Macclesfield; which fhews, by the Golden Number, the Days of the Pafchal full Moons; by which, and the Dominical Letter, the Day on which Eafter will fall may be found. His Table is calculated from the Time the Calendar was firft corrected in the Year 1583; but, as Eafter has been always kept in Great Britain according to the Old Style 'till the Year 1753, I fhall begin the Table from thence.

The Ufe of the Table.

Firft find the Golden Number as before taught, which feek in the Column of Golden Numbers under the Time in which the given Year is included; right against the Golden Number of the Year, in the laft Column but one, you have the Day of the Month on which the Pafchal full Moon happens, which is the Limit of Eafter; from thence run your Eye down among the Dominical Letters 'till you come to the Letter for the given Year, and against it you have the Day of the Month on which Eafter falls that Year.

Exam. 1. To know when Eafter falls in the Year 1754: The Golden Number for the Year we have already found to be 7, and the Dominical Letter F; therefore feek in the firft Column (the given Year being included between the Years 1753 and 1899) for the Golden Number; then caft your Eye along to the laft Column but one, under the Title Pafchal full, and you will find the feventh of April to be the Day of the full Moon, or Eafter Limit; against which, in the laft Column, ftands F, which fhews it to be Sunday, therefore the next Sunday following is Easter Sunday, which, by going down the Column of Letters to the next F, you find to be the fourteenth of April.

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Tho' this was a Miftake, for the Vernal Equinox that Year fell on the twentieth of March. But yet, the full Moon that fell on or next after the twenty-firft of March they called the Pafchal full Moon. And, by the late Introduction of the Gregorian or New Style, the Equinox will now always happen on the twentieth or twenty-firft of March. And the Feaft of Eafter is now to be kept on the next Sunday after the Pafchal full Moon, or the full Moon that happens after the twenty-firft of March; but, if the full Moon happens on a Sunday, Eafter-Day is to be the next Sunday after.

All the other moveable Feafts depending on Eafter, I fhall endeavour to fhew the true Method of finding it. This will be beft done, for any future Time, by the Table compofed by the Right Honourable GEORGE Earl of Macclesfield; which fhews, by the Golden Number, the Days of the Pafchal full Moons; by which, and the Dominical Letter, the Day on which Eafter will fall may be found. His Table is calculated from the Time the Calendar was firft corrected in the Year 1583; but, as Eafter has been always kept in Great Britain according to the Old Style 'till the Year 1753, I fhall begin the Table from thence.

The Ufe of the Table.

First find the Golden Number as before taught, which feek in the Column of Golden Numbers under the Time in which the given Year is included; right against the Golden Number of the Year, in the laft Column but one, you have the Day of the Month on which the Pafchal full Moon happens, which is the Limit of Eafter; from thence run your Eye down among the Dominical Letters 'till you come to the Letter for the given Year, and against it you have the Day of the Month on which Eafter falls that Year.

Exam. 1. To know when Eafter falls in the Year 1754: The Golden Number for the Year we have already found to be 7, and the Dominical Letter F; therefore feek in the first Column (the given Year being included between the Years 1753 and 1899) for the Golden Number; then caft your Eye along to the laft Column but one, under the Title Pafchal full, and you will find the feventh of April to be the Day of the full Moon, or Eafter Limit; against which, in the laft Column, ftands F, which fhews it to be Sunday, therefore the next Sunday following is Easter Sunday, which, by going down the Column of Letters to the next F, you find to be the fourteenth of April.

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