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able feasts should procure Francoeur's[759] tables. 12. _Rule for determining Easter Day of the Gregorian Calendar in any year of the new style._ To the several parts {366} of the rule are annexed, by way of example, the results for the year 1849. I. Add 1 to the given year. (1850). II. Take the quotient of the given year divided by 4, neglecting the remainder. (462). III. Take 16 from the centurial figures of the given year, if it can be done, and take the remainder. (2). IV. Take the quotient of III. divided by 4, neglecting the remainder. (0). V. From the sum of I, II, and IV., subtract III. (2310). VI. Find the remainder of V. divided by 7. (0). VII. Subtract VI. from 7; this is the number of the dominical letter 1 2 3 4 5 6 7 (7; dominical letter G). A B C D E F G VIII. Divide I. by 19, the remainder (or 19, if no remainder) is the _golden number_. (7). IX. From the centurial figures of the year subtract 17, divide by 25, and keep the quotient. (0). X. Subtract IX. and 15 from the centurial figures, divide by 3, and keep the quotient. (1). XI. To VIII. add ten times the next less number, divide by 30, and keep the remainder. (7). XII. To XI. add X. and IV., and take away III., throwing out thirties, if any. If this give 24, change it into 25. If 25, change it into 26, whenever the golden number is greater than 11. If 0, change it into 30. Thus we have the epact, or age of the _Calendar_ moon at the beginning of the year. (6). _When the Epact is 23, or less._ XIII. Subtract XII., the epact, from 45. (39). XIV. Subtract the epact from 27, divide by 7, and keep the remainder, or 7, if there be no remainder. (7) _When the Epact is greater than 23._ XIII. Subtract XII., the epact, from 75. XIV. Subtract the epact from 57, divide by 7, and keep the remainder, or 7, if there be no remainder. XV. To XIII. add VII., the dominical number, (and 7 besides, if XIV. be greater than VII.,) and subtract XIV., the result is the day of March, or if more than 31, subtract 31, and {367} the result is the day of April, on which Easter Sunday falls. (39; Easter Day is April 8). In the following examples, the several results leading to the final conclusion are tabulated. ======================================================== GIVEN YEAR | 1592 | 1637 | 1723 | 1853 | 2018 | 4686 -------------------------------------------------------- I. | 1593 | 1638
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