I^o ESSAYS AND OBSERVATIONS 



is o'.oooo47 J the difference therefore is lefs 

 than the 354th part of a fecond. 



Mr. Machiny in his folution of this pro- 

 blem in the Philofophical Tranfadions, 

 Number 447. makes the anomaly of the ex- 

 centric to be 1 29°. 14846, when the mean 

 anomaly reckoned from the perihelion is 120°; 

 and therefore, if the mean anomaly reckoned 

 from the aphelion be 60°, the anomaly of 

 the excentric will be 50°. 85154, that is 

 5o°5i'.o924. 



In order to determine the difference be- 

 tween SH and the arc BG according to this 

 computation, 



The log. of 20589 is 4-3136353 



The log. fine of 50° 5 i'.o924 is 9.8895888 



The fum is 14.2032241 



The log. of rad. is 10.0000000 



The difference 4.2032241 



is the log. of SM. Again, as CA to SM, fo is 

 57°. 2957795, &c. the number of degrees in 

 an angle fubtended by an arc equal to CA, to 

 the number of degrees in an angle fubtended 



by an arc equal to SM. 



The 



