STUDIES IN STATISTICAL REPRESENTATION, 



107 



Since the tropical year = 365*2422 days and the synodic 

 lunar month = 29*530588 days, the Metonic cycle, * 19 

 tropical years is 6939*6018 days, and 235 complete lunations 

 equal 6939*6882 days, differing only *0864 day from the 

 nineteen years. 



The following table exhibits the peculiarities for succes- 

 sive decades. 



Mean Position of Easter •* 



1800. 



1900. 







E asters 



Mean of 



Mean of 







Easters 



Mean of 



Mean of 



Decade. 



Mean. 



m 



March 



April 



Decade. 



Mean. 



m 



March 



April 







March. 



Easters 



Easters. 







March. 



Easters 



Easters. 





April 











April 









0-9 



946 



1 



29 



956 



0-9 



10-56 



2 



30-5 



1312 



10-19 



8-16 



3 



2567 



1357 



10-19 



8-36 



3 



27 



12-86 



20-29 



8-86 



2 



28 



11-50 



20-29 



8-06 



2 



29 



10-25 



30-39 



7-86 



3 



29 



11-43 



30-39 



9-66 



2 



27-5 



1262 



40-49 



9-06 



2 



25 



12-50 



40-49 



8-96 



2 



26 



12-12 



50-59 



8-56 



3 



27 



1357 



50-59 



756 



2 



27 



1038 



60-69 



796 



3 



28-67 



11-86 



60-69 



966 



2 



27-5 



12-88 



70-79 



936 



2 



29-5 



11-88 



70-79 



866 



3 



28 33 



13-14 



90-89 



9-46 



2 



255 



1262 



80-89 



866 



2 



28 



11-25 



90-99 



6-76 



2 



27 



9-25 



90-99 



8-76 



2 



30-5 



10-88 



Means 



8' 55 



23 



27-48 



11-70 



Means 



8-89 



2-2 



2809 



11-94 



* The complete cycle of Easter restoring both the day of the 

 week and of the month is 4x7x19 = 532 years, the "Dionysian" 

 or "Great Paschal" period. 



To find the position of Easter day (Sunday) we have for any 

 years subsequent to 1582 



Y denoting the date (year of the Christian era) 



N denoting the golden number 



E denoting the epact, or moon's age at the beginning of the 



year (expressed positively) 

 C denoting the number of centuries in the date 

 P denoting the number of days from the 21st March to the 



15th day of the "paschal moon" 

 L denoting the number of the dominical letter of the year 



