106 



MEMOIR EXPLANATORY OF A NEW PERPETUAL CALENDAR. 



PERPETUAL CALENDAR, 



CIVIL and ECCLESIASTICAL, 



Freed from Dominica! Letter a, Solar C 'ycle, Golden Numbers, Extended Tables ofEpacts and Algebraic Formula. By Win. Mcllvaine. 1844 



RULE. 



"3 s ERAS. 



Ed 



To find on what day of the week a given 

 day of the month falls in any year after 

 Christ, to the end of Time. 



Add to the Year, 



its 4th part, (omitting fractions,) 

 the Eq. in column A. beside the Era, 

 the number for the month in Table B, 

 and the Day of the Month. 



(or the excess over 7s in the Day of the Month.) 



Divide the sum by 7, 



The excess over lis, calling O always 7, 

 will be the day sought, viz.: 



The 1st, 2d, 3d, 4th, 5th, 6th, 7th, 

 Being Su. M. Tu. W. Tli. F. Sa. 



-Except in Jan. and Feb. of Leap years, 

 when the preceding will be the true day. 



All Julian Years, when multiples of 4, 

 are Leap Years. Gregorian years, when 

 multiples of 4, are also Leap Years, 

 Unless their two right hand figures be OO, 

 joined with left hand or centurial figures 

 which are not multiples of 4. 



Table B. 



Numbers for the Months. 

 Feb. 



1st Quarter. Jan. 

 lid. " April 

 Hid. « July 



lVth. 



Oct 



Nov 



Mar. 



June 

 Sept. 

 Dec. 



The No. for each Month in Table B. is 

 the number of days beyond full weeks, in ,/// 

 the Months which precede it from the begin- 

 ning of a Common Year. 



The order and position of the figures 

 3,6,5, (the number of days in a common 

 Year,) and of 1, 2, 3, 4, 5, in the space 

 between them, may recall to memory the 

 whole Table. 



A 



5 



Julian, 



After Christ, 

 unvaried. 



Gregorian, 



From 1582, 



VARIED BY 



Centurial figs. 



15 

 16 

 17 



18 * 



19 



20 



21 * 



22 



23 



24 * 



25 



26 



27 * 

 ' 28 



29 



30 * 



31 



32 



33 * 



34 



35 



36 * 



37 



3S 



39 * 

 • 40 



41 



42 



43 * 



44 



45 



46 * 



47 



4S 



49 * 



50 



51 

 1 52 * 



53 



54 



55 * 



56 



57 



58 * 



59 



69 



61 * 



62 



63 



64 • 



65 



66 



67 



68 * 



6!) 

 "SO 

 71 * 

 "i-l 



.S5 cs 



= = 



c 











29 

 29 

 29 

 28 

 27 

 23 

 27 

 26 

 26 

 26 

 25 

 25 

 24 

 24 

 24 

 23 

 22 

 23 

 22 

 21 

 21 

 21 

 20 

 19 



19 

 19 

 18 

 18 

 17 

 17 

 17 

 16 

 15 

 16 

 15 

 14 

 14 

 14 

 13 

 13 

 12 

 12 

 12 

 11 

 10 

 11 

 HI 

 9 



RULE. 



To find the Calendar-Moon's age on the 

 1st day of January in any Year, from the 

 beginning of the Christian Era. 



Add to ten times the Year, 

 the Year, 

 t its 19th part, (omitting fractions,) 

 and the Eq. in col. C, beside the Era. 



1 (But if no fraction, add 1 less than the 19th part 

 in Julian Years.) 



Divide the sum by 30, 



The Excess over 30s. calling O = 30, 

 will be the Age sought, or Annual Epact. 



Table D. 



To find Easter 



SUBTRACT ANY EPACT 



CaiEGOIlIAN. 



Between From 



1 

 & 



12 



13 



13 

 & 

 23 



44 



{25 

 & 

 30 



Subtract 



24 



43 



From 



42 



\ 25 also from 42, 

 if in getting a 1'Jth 

 of the year the Re- 

 mainder exceed 10. 



JULIAN. 



Between From 



1 



& 



4 



5 

 & 

 15 



17 



& 

 28 



Subtract 



29 



The Diff. will 



be the Day of 



the Montii 



on which 



occurs the 



lOascfwl Ecrm. 



in April. 



36 



in March. 



35 



From 



34 



>in April. 



- This is the Epact 25' of the 

 Tablet in the Article "Ca- 

 lendar," Encyclopedia Bri- 

 tannica, 7th Edition. 



Then find by the Civil Calendar the 

 Day of the Week on which thai Day of the 

 Month falls, and the following Sunday will 

 be Easter Sunday. 



The number of days to be counted for- 

 wards will be shown by subtracting tin Day 

 of the Week thus found, from 8. 



