Exam. 2. To know when Eafter will fall in the Year 2765 Look in the feventh Column of Golden Numbers under 2600 to 2899, in which the given Year in included, for II, the Golden Number for the Year, and right against it, in the laft Column but one, you have the twenty-eighth of March for the Limit, or Full-Moon Day; then, F being the Dominical Letter for the Year, go down the Letters to F, which ftands against the thirty-firft of March, for Eafter-Day.

From this Table may be made a particular Table, for any Century included in either of the Columns. Thus, the first Column including the Remainder of this Century and the next, the following Table, made from thence, will fhew the Time of Eafter to the End of the Year 1899.

A Table for finding Eafter to the End of the nineteenth

Gold. A
Num.

123

|Apr. 161Apr. 17 | Apr. 18 Apr. 191 Apr. 201 Apr. 141Apr. 15 Apr. 9 Apr. 3 Apr. 4 Apr. 5 Apr. 6 Apr. 7 Apr. 8 Mar. 26 Mar. 27 Mar. 28 Mar. 29 Mar. 23 Mar. 24 Mar. 25

4 Apr. 16 Apr. 17 Apr. 11 Apr. 12 Apr. 13 Apr. 14 Apr. 15 5 Apr. 2 Apr. 3 Apr. 4 Apr. 5 Apr. 6 Mar. 31 Apr. 1

Apr. 23 Apr. 24 Apr. 25 Apr. 19 Apr. 20 Apr. 21 Apr. 22

7 Apr. 9 Apr. 10 Apr. 11 Apr, 12 Apr. 13 Apr. 14 Apr. 8 8 Apr. 2 Apr. 3 Mar. 28 Mar. 29 Mar. 30 Mar. 31 Apr. 1 9 Apr. 16 Apr. 17 Apr. 18 Apr. 19 Apr. 20 Apr. 21 Apr. 22

10 Apr. 9 Apr. 10 Apr. 11 Apr. 5 Apr. 6 Apr. 7 Apr. 8 Mar. 26 Mar. 27 Mar. 28 Mar. 29 Mar. 30 Mar. 31 Mar. 25 12 Apr. 16 Apr. 17 Apr. 18 Apr. 19 Apr. 13 Apr. 14 Apr. 15

II

13

Apr. 2 Apr. 3 Apr. 4 Apr. 5 Apr. 6 Apr. 7 Apr. 8 Mar. 26 Mar. 27 Mar. 28 Mar. 22 Mar. 23 Mar. 24 Mar. 25 15 Apr. 16 Apr. 10 Apr. 11 Apr. 12 Apr. 13 Apr. 14 Apr. 15

345

14

17

16 Apr. 2 Apr. 3 Apr. 4 Apr. 5 Mar. 30 Mar. 31 Apr. 1 Apr. 23 Apr. 24 Apr. 18 Apr. 19 Apr. 20 Apr. 21 Apr. 22 18 Apr. 9 Apr. 10 Apr. 11 Apr. 12 Apr. 13 Apr. 7 Apr. 8 19 Apr. 2 Mar. 27 | Mar. 28 Mar. 29 Mar. 30 Mar. 31 Apr. 1

To find Eafter by this Table, find the Golden Number in the firft Column, and the Dominical Letter at the Top of the Table; then guide your Eye from the Golden Number, in a ftraight Line, to the Column where you found the Dominical Letter.

Exam. 1. To find Eafter for the Year 1754: Look for 7, the Golden Number, in the firft Column, and for F, at the Head of the Table, in the feventh Column; then, right against 7 in the firft, Column, you will find the fourteenth of April in the feventh Column, under F, which is Eafter-Day.

Exam. 2. To find Eafter for the Year 1766: The Golden Number for the Year is 19, and the Dominical Letter E; in the Column under E, right against 19, you will find the thirtieth of March, which is Eafter-Sunday.

As to the Roman Indiction, in the Diftich for finding the Golden Number and Cycle of the Sun, it is of no Ufe but in the Court of Rome. But Jofephus Scaliger, by multiplying the Golden Number, Cycle of the Sun, and Indiction, one into another, made a Period of 7980 Years, which he called the Julian Period. Thus,

This Period he makes to begin feven hundred and fixtyfour Years before the Creation, according to the Jewish Chronology.

AN

A N

APPENDIX,

CONTAINING

Cycles for the Motions of the Primary Planets, and Mr. Whifton's Cycle for calculating Solar Eclipfes without Parallaxes.

N

EAR thirty Years ago Mr. Whiston published a Cycle for calculating Eclipfes. This firft induced me to think the Motions of the Planets might be computed by a Cycle, fince their apparent Motions, as beheld from the Earth, depend only on their own Motions in their Orbs and the Motion of the Earth, whilft Eclipfes depend on divers variable, unequal Motions. On Examination, I found that the Motions of each of the primary Planets do return, after a Series of Years proper to each, the fame in both thefe Refpects; and that their Motions will be nearly the fame in a future, as in a paft Number of Years, thro' fuch a refpective Cycle.

The Planets moving in elliptic Orbs, in one of whofe Foci the Sun is placed, their Motions are flower when at a greater Distance from the Sun, and swifter when nearer. This Variation is the fame in every Revolution of the Planet, and is readily adjusted by Tables of the Equation of their Anomaly: Hence their heliocentric Motions, that is, their Places in the Zodiac as beheld from the Sun, are the fame in entire Revolutions. But, the Earth being a Planet that moves round the Sun in its own Orb, the other Planets Motions, as beheld from the Earth, vary according to the different Situation of the Earth with regard to the particular Planet, as well as from the Planet's Situation in its Orb: Hence, for the geocentric Motion of any Planet, a Period is required, in which the Planet has the fame Situation, with regard to the Earth, when he returns to the fame Part of his Orb.