t40 ESSAYS AND OBSERVATIONS 

 EXAMPLE VII. 

 In the orbit of FenuSy the mean diftance is 

 to the excentricity as looooooo to 69855. 

 Suppofe the mean anomaly reckoned from 

 the aphelion to be 60'', it is required to find 

 the anomaly of the excentric. 



The log. tang, of 30° is 9.7614394 



The difF. of the logs, of AS, SP is 0.0060677 



The dijference 9-75537^7 



is the log. tang, of 29° 39'.2739959, half the 

 difference of the angles CSC, CBS j therefore 

 the angle CSB, that is the angle ACD, is 

 59° 39'-2739959 ; therefore the anomaly of 

 the ex'centric is nearly 59° 39'.2739959, that 

 Js59°39'.i6".439754. 



If the mean anomaly reckoned from the 

 perihelion be 120", the anomaly of the ex- 

 centric would be nearly 120° 2o'.43". 560246, 

 which agrees very nearly with Mr. Mdchins 

 numbers in the forecited tranlaftion. 



The anomaly of the excentric being found, 

 the coequate or true anomaly will be found 

 by the refolution of the triangle GCS : Thus, 

 from the log. tang, of half the anomaly of 

 t\lC excentric, fubtraft the difference of the 



logs, 



