the Dominical Letters will have happened, and the 29th Year the Cycle begins again, when the fame Order of the Letters will return as were 28 Years before.

At the Birth of Chrift, nine Years had paffed in this Cycle. The Lunar Cycle, or Cycle of the Moon, or Golden Num

ber, is a Period of 19 Years, containing all the Variations of the Days on which the new and full Moons happen, after which Time they fall on the fame Days they did 19 Years before, and she begins again with the Sun. But when a Centiffimal or Hundredth Year falls in the Cycle, the new and full Moon, according to the new Stile, will fall a Day later than otherwife. The birth of Christ happened in the fecond Year of this Cycle.

The Roman Indiction is a Cycle of 15 Years, which first began the third Year before Christ.

Multiply the Golden Number for the given Year by 11, divide that Product by 30, and from the Remainder take 11, leaves the Epact. If the Remainder is lefs than 11, add 19 to it, and the Sum will be the Epact.

EXAMPLE S.

8. Find the Epact for the Year 1788.
9. Required the Epact for the Year 1786?

5. The Epact of any Year is the Moon's Age, at the Beginning of that Year, that is, the Days paft fince the laft new Moon.

To the Epact, add the Number and Day of the Month, their Sum, if under go, is the Moon's Age. But if that

Sum

Sum is above 30, the Excefs in Months of 31 Days, or the Excefs above 29, in a Month of 30 Days, fhews the Age, or Day fince the laft Conjunction.

The Moon's Age taken from 30, leaves the Day of the next new Moon.

When the Solar and Lunar Cycles begin together, the Moon's Age on the firft of each Month, or the Monthly Epacts, are called the Numbers of the Month, and are as follows, viz.

For Jan. Feb. Mar. April. May. June.

These

I.

2. 3.

4.

For July. Aug. Sep. Oct. Nov. Decem.
Thefe 5. 6.

7.

8.

9.

10.

EXAMPLE S.

10. Required the Moon's Age on May 21, 1788? II. What is the Moon's Age on the 24th of March, 1786 ? 6. The Moon's Age is how many Days are past fince the Day of her Change, which Age never exceeds 30 Days.

Find on what Day of March the new Moon falls nearest to the 21ft in common Years, or nearest the 20th in Leap Years, then the Sunday next after the full, or 15th Day of that new Moon, will be Eafter-Day.

If the 15th Day falls on a Sunday, the next Sunday is Eafter-Day.

12. On what Day does Eafter-Sunday fall for the Year 1788?

13. Required the Time of Easter-Day for the Year 1786?

7. Eafter

7.

Eafter is the Time when Chriftians celebrated the Refurrection of Chrift from the Grave, and took its Rife from Eaftra, the name of the Saxon Deity or Goddess, whofe Festival was celebrated about this Time of the Year, and after its Abolishment by Chriftianity, the Name was retained, and is to this Day ufed to fignify the Festival of Chrift's Refurrection, as mentioned above.

PROBLEM

VIII.

To find the Time of the Moon's Southing.

RULE.

Multiply the Moon's Age by 4, divide the Product by 5, quotes the Hours, and the Remainder, multiplied by 12, gives the additional Minutes.

If this Time is less than 12 Hours, it is the Time of Southing after Mid-Day; but if greater, 12 Hours taken from it, leaves the Southing after Midnight.

EX A MPLE S.

14. Required the Time of the Moon's Southing at London, on the 21ft of May, 1788?

15. At what Time does the Moon come to the Meridian at Bristol Key, on March 24, 1786?

8. The Moon's Southing at any Place, is the Time when fhe comes to the Meridian, or is full South of that Place, which is every Day later, by about 48 Minutes, occafioned by the Hours in a Day being divided by the 30 Times fhe paffes the Meridian from new Moon to new Moon.

To find the Time of High Water at any Place.

RULE.

To the Time of the Moon's Southing, add the Time the Moon has paffed the Meridian to make High Water at that Place, and the Sum will fhew the Time of High Water.

The

The Distance of the Moon from the Meridian when High Water at the following Places, is, at London, D bears N. E. or S. E. 3h. om. Bristol Key D bears E. by S. and W. by N. 6h. 45m.

EXAMPLES.

16. On the 21st of May, 1788, at what Time is it High Water at London?

17. On the 24th of March, 1786, at what Time is it HighWater at Bristol Key?

I.

10. High Water is the State of the Tide when highest, or the Time it ceafes to flow up.

QUESTIONS for Exercife at Leifure Hours.

England was conquered by William I. October 4, 1066; his Son, William II. came to the Crown Sept. 9, 1087, and left it Auguft 2, 1100; William III. received it Feb. 3, 1689, and died March 8, 1701: How many Days did each of theie Princes govern, refpect being had to the intercalary Days, and to February every Leap Year, as they rofe in the Course of Time? 2. Richard I. fucceeded his Father Henry II. July 7, 1189; John his Brother fucceeds him April 6, 1199; Richard II. fucceeded Edward III. on the 21st of June, 1377, and was deposed by Henry IV. on the 30th of September, 1399; Richard III. caufed his Nephew, Edward V. and his Brother, to be murdered, on the 18th of June, 1483, and was flain himtelf on the 22d of August, 1485: How many Days was the Realm governed by the three Richards, refpect being still had to the intercalary Days as they happened?

3. The firft Queen Mary came to the Crown July 8, 1553; fhe reigned 5 Years, 4 Months, and 9 Days; her Sifter Elizabeth fucceeded, and James I. came to the Throne the 14th of March, 1602, who left it to his Son, Charles I. on the 27th of March, 1625, who was forced from it January 30, 1648: The Queftion is, How many Days did thete Princes reign, and at the Death of Charles I. how long had England been under

an

an uninterrupted Succeffion of Proteftant Princes, Mary the First being the last professed Papist that enjoyed the Crown, not neglecting the intercalary Days in February as before?

4. A Grant was made Feb. 14, in the roth of Henry I. who began his Reign August 2, 1100; it was refumed Nov. 19, in the 4th of Henry III. who came to the Crown October 19, 1215; it was received the 16th Day of July, in the 13th of Henry VII. who afcended the Throne August 22, 1486; but it was a fecond Time revoked and finally fuppreffed, in the 16th of his Succeffor, Henry VIII. on the 10th of May: Now as this Man's Father died July 21, 1509, the Question is, How many Days was this Grant in Force, and how many lie dormant?

did

79.

GEOGRAPHY.

EXAMPLES on the TERRESTRIAL GLOBE, or MAPS.

1. What is the Latitude and Longitude of Pekin, in China, and Cape Horn?

2. Required the Name of that Place whofe Latitude is 18° N. and Longitude 761 W. alfo of another Place, whose Latitude is 34° S. and Longitude 161⁄2 E.?

3. What is the Difference of Latitude between London and Naples; alfo between the Island of Barbadoes, and the Cape of Good Hope?

4. Required the Distance (in English Miles) Jamaica is from London; alfo the Names of all thofe Places that are at the fame Distance from London as Rome is?

5. Required the Sun's Declination, Right Afcenfion, and Meridian Altitude, on the 20th of May?

6. Required the Time of the Sun's rifing and fetting, on the 20th of May; also his Amplitude at the fame Time? Likewife when the Twilight begins and ends?

7. What is the Sun's Azimuth and Altitude, on the 20th of May, at 4 o'Clock in the Afternoon?

8. What is the Angle of Pofition, or Bearing of Port Royal in Jamaica, from London; and on the contrary, London from Port Royal?

9. When