Remarks upon the solar and the lunar years, the cycle of 19 years, commonly called the golden number, the epact, and a method of finding the time of Easter, as it is now observed in most parts of Europe
REMARKS UPON THE SOLAR AND THE LUNAR YEARS, The Cycle of 19 Years, commonly called THE GOLDEN NUMBER , THE EPACT , And a Method of finding the Time of Easter , as it is now observed in most Parts of Europe .
Being Part of a LETTER from The Right Honourable GEORGE EARL OF MACCLESFIELD to Martin Folkes Esq; President of the Royal Society , and by him communicated to the same, May 10. 1750.
LONDON : Printed for Charles Davis, Printer to the Royal Society .
M.DCC.LI.
A TABLE, shewing, by means of the Golden Numbers, the several Days on which the Paschal Limits or Full Moons, according to the Gregorian Account, have already happened, or will hereafter happen; from the Reformation of the Calendar in the Year of our Lord 1582, to the Year 4199 inclusive.
To find the Day on which the Paschal Limit or Full Moon falls in any given Year; Look, in the Column of Golden Numbers belonging to that Period of Time wherein the given Year is contained, for the Golden Number of that Year; over-against which, in the same Line continued to the Column intitled Paschal Full Moons , you will find the Day of the Month, on which the Paschal Limit or Full Moon happens in that Year. And the Sunday next after that Day is Easter Day in that Year, according to the Gregorian Account.
Read May 10. 1750.
The mean Tropical Solar Year , or that mean Space of Time wherein the Sun, or Earth, after departing from any Point of the Ecliptic returns to the same again, consists, according to Dr. Halley 's Tables, of 365 d , 5 h , 48 ´ , 55 ´´ : Which is less by 11 ´ , 5 ´´ , than the mean Julian Year, consisting of 365 d , 6 h , 0 ´ , 0 ´´ .
Hence the Equinoxes and Solstices anticipate, or come earlier than the Julian Account supposes them to do by 11´, 5´´, in each mean Julian Year; or 44 ´ , 20 ´´ in every four; or 3 d , 1 h , 53 ´ , 20 ´´ , in every four hundred Julian Years.
In order to correct this Error in the Julian Year, the Authors of the Gregorian Method of regulating the Year, when they reformed the Calendar in the Beginning of October 1582 , directed that three intercalary Days should be omitted or dropped in every four hundred Years; by reckoning all those Years, whose Date consists of a Number of entire Hundreds not divisible by 4, such as 1700, 1800, 1900, 2100, &c. to be only Common, and not Bissextile or Leap Years, as they would otherwise have been; and consequently omitting the intercalary Days, which, according to the Julian Account, should have been inserted in the Month of February in those Years. But at the same time they order'd that every fourth hundredth Year, consisting of a Number of entire Hundreds, divisible by 4, such as 1600, 2000, 2400, 2800, &c. should still be consider'd as Bissextile or Leap Years, and, of consequence, that one Day should be intercalated as usual in those Years.