C36 ESSAYS AND OBSERVATIONS 

 E X A M P L E IV. 



Again, in the fame orbit fuppofing the 

 mean anomaly to be 100° degrees, it is re- 

 quired to find the anomaly of the excentric. 



The log. tang, of 50'' half the 



angle ACB is 10.0761865 



The difference of the logs, of 



AS, SP is 0.0806086 



The difference 9-9955779 



is the log. tang, of 44° 42'.4982i92, half the 

 difference of the angles CSB, CBS ; there- 

 fore the angle CSB, that is the angle ACD, 

 is 94°42'.4982i92 ; and the angle CBS, 

 that is the angle BCD, is ^° ly'.^oiy^o^. 

 Again, to determine the angle CDS, 



The log. tang, of half the angle 



ACD is I0.05572S5 



The difference of the logs, of 



AS, SP is 0.0806086 



The difference 9-975 ^ 1 99 



is the log. tang, of 43° 21', 5819834, half 

 the difference of the angles CSD, CDS j 

 therefore the angle CDS, that is the angle 

 DCF, is 3° 59'.667i2i2. 



Again, 



