vom 29. October 1866. 649 



while the second is said to have happened in the morning about 

 sunrise. Surely, I thought, these conditions will suffice to de- 

 termine the dates of the eclipses. 



Accordingly, I commenced a calculation. I proceeded in the 

 following manner. I found that in Hansen's lunar tables, having 

 regard to mean motions only, the sun and moon are in Oppo- 

 sition when Argument 33 is 15*233681; and an eclipse of the 

 moon is possible, when at that time Argument 36 is not less 

 than 49*540 and not greater than 73*805. From this it was 

 easy to obtain the limits of Argument 36, at the mean oppo- 

 sitions when the three eclipses took place. These are for the 

 First eclipse 63-577 and 69*932 

 Second „ 67*450 and 73*805 

 Third „ 49*540 and 55*895. 

 I proceeded then to calculate from the tables all the füll 

 moons between — 750 and — 650, when Argument 36 would 

 be between 63*58 and 69*93, and when the füll moon could be 

 according to any reasonable hypothesis that of the month of 

 Nisan. I found that there were just nine of these, of which 

 I give the times according to Hansen's tables, confining myself, 

 however, to the two first decimal places. It will be observed 

 that all the nine füll moons could not be in Nisan according to 

 any hypothesis. Some would be so on one hypothesis, some on 

 another. I give the month to which each of the füll moons 

 belonged according to my published table; and I add an E to 

 those, which according to that table, were in a year which con- 

 tained thirteen months. The mean times of the füll moons 

 are, of course, Greanwich mean time, as used by Hansen. 



Time of mean Oppos. Arg. 36 Month by Hincks's table 



no. 1. —748 87*13 69*06 Nisan 



2. 



— 737 



56*76 



68*57 



Second Adar 



3. 



— 730 



98*45 



67*62 



Iyar 



4. 



— 719 



67*08 



68*13 



Nisan E 



5. 



— 701 



78*40 



67*69 



Nisan E 



6. 



— 683 



88*73 



67*25 



Nisan 



7. 



— 672 



57*36 



67*76 



Adar 



8. 



— 665 



100*05 



66*81 



Nisan 



9. —654 t. 74*30 67*32 Adar. 



