CALCULATION OF MEAN NEW AND FULL MOONS. 397 



LECT 

 EXAMPLE I. ^ X 



Required the time of new moon in September, 1764 ? 

 (a year not inserted in the table.) 



Moon from son. 



80'" 



To the year after Christ's birth 1753 10 9 24 56 

 Add complete vears .... 11 10 14 20 



(sum 1764) 

 And join September 2 22 21 8 



The sum of these mean motions is . . 1 12 24 

 Which, being subtracted from a circle, or 12 



Leaves remaining 10 17 59 36 



Nest less mean motion for 26 d. subtract 10 16 57 34 



And there remains 0122 



Next less mean motion for 2 h. subtract 1 57 



And the remainder will be 0015 



Next less mean motion for 2 m. subtract 0011 



Remains the mean motion of 12 sec. 0004 



These times, being collected, would shew the mean 

 tiflle of the required new moon in September 1764, to 

 be on the 26th clay, at 2 hours 2 min. 12 sec. past noon. 

 But, as it is in a leap-year, and after February, the time 

 |is one day too late. So, the true mean time is Sep- 

 tember the 25th. at 2 min. 12 sec. past II in the after- 

 jnoon. 



N. B. The tables always begin the day at noon, and 

 eckon thence forward, to the noon of the day following. 



