.MF.MOiR EXPLANATORY OF \ NEW PEBPET1 u. ( 1LENDAR. Ill 



It is demonstrated, therefore, that the use of Dominical Letters, whether single or dou- 

 ble, may be entirely dispensed with in the Julian Calendar. The Solar liquation or Con- 

 stant 5, standing at the head of column A, effects for ever, with the aid of Table I!, by a 

 process almost purely additive, the same object in a simpler and easier way; and supplies 

 the place, not only of the whole apparatus of Regulars and Concurrents heretofore com- 

 bined with the Solar Cycle, but also of the memorial lines usually employed lor ascertain- 

 ing the first day of every month, in a manner which was not, however, readily applicable 

 when the vear happened to begin on any other day than Sunday. It may not be unwor- 

 thv of a passing notice that (regarding the solar regulars one and eight as the same,) 

 each of the twelve monthly numbers of Table 15, viz., 0, 3, 3, G, 1, 4, G, 2, 5, 0, 3, 5, 

 is less by 2 than each of the ancient Solar Regulars, 2, 5, 5, 1, 3, G, I, 4, 7, 2, 5, 7, 

 and is less by 1 than the respective numbers . . . 1, 4, 4, 7, 2, 5, 7, 3, 6, 1, 4, (i. 

 representing the order, in the alphabet, of the initials A,D, D, G, B, E, G, C, F, A, I), F, 

 of the twelve words composing the do^nvl rhyme which we have just referred to, namely, 

 -At Dover Dwell, George Brown Esquire; Good Christopher Finch, And David Friar." 



From the Constant 5, thus perfectly established as a starting point, is readily deduced 

 the retreating series of small secular equations which follow it in the same column, and 

 these will, in turn, answer equally well for finding the day of the week belonging to an\ 

 day of anv month, in anv year throughout the Gregorian Era. For the first step in the 

 reformation of the Julian Calendar, in 1582, taken for the purpose of restoring the equi- 

 noxes to their former place in the year, consisted in the suppression of 10 days in that 

 vear by calling the day which was the fifth of October, in the Old Style, the l">th of 

 October in the New. On applying the Rule given in the Tablet, the Julian 5th of Octo- 

 ber. i.")^J. will be shown by the Remainder G, to have been Friday^ but the Julian 15th 

 of October, being a week and three days farther on, would, by the same rule, be found to 

 happen on Monday. Now the series of days of the week was not interrupted, nor intended 

 to i„.. i,\ the reform. The days of the month only were to be differently named after i<> 

 of them should be expunged. The epoch, day, or point of time called in the Julian 

 Calendar, the 5th of October, must continue to be Friday in the Gregorian, and be re- 

 ferred to as the Gth day of the week, whatever new denomination it might receive as a 

 day of the month. In order, then, to make the 15th of October in the New Style corre 

 spoud with Friday, it is obvious that we musl go back three day.- iii the calculation, or in 

 otlnr words, that from the Julian Solar (or rather Hebdomadal) Equation of ...."» 



must be deducted, the excess over a full week of the 10 days lost, or ■'• 



and that thenceforward, during ;i certain period, the Gregorian solar collection or 



equation must be '-' 



which number stands opposite, in Column A, to the firs! centurial figures, namely to 

 15 and Iii. 



This equation 2 would for ever perform the same office in the Gregorian that 5 had 



done, and -till does, in the Julian Calendar, but for a second Btep taken at the Reformation. 

 \\ ith a view to prevent in future that deviation of the nominal civil Days from the defi- 

 nite Seasons of the year which had arisen from introducing too man] leap years, it wa 

 then determined that after 1600, which continued bissextile in both Calendars, every bui 



