PHYSICAL AND LITERARY. laf 



by an arc equal to the radius, to the number 

 of degrees in an angle fubtended by an arc 

 equal to the line of the angle BCD; [let 

 this angle be called A]. Again, as the fine 

 of the angle BCD to the tangent of the angle 

 CDS, fo is the excefs of the angle BCD 

 above the angle A, to the angle GCD. 

 Therefore the angle ACG, the anomaly of 

 jhe excentric, will be given. 



EXAMPLE I. 

 In the orbit of Mercury^ the mean diftance 

 is to the excentricity as looooo to 20589. 

 Suppofe the mean anomaly from the apheli- 

 on to be 60°, it is required to find the ano- 

 maly of the excentric. In the triangle BCS, 

 as 120589, the fum of BC, CS, is to 7941 1 

 the difference of the fides BC, CS, fo is the 

 tangent of 3q°, half the fum of the angles, 

 CSB, CBS, to the tangent of half the differ^- 

 ence of the angles CSB, CBS. 



The log. tang, of 30° J§ 9.7614394 

 The log. of 7941 1 is 4.8998807 



The fum is 14.66 13201 



The log. of 1 20589 Is 5.08 1 3077 



JJ^e difference 9.5800124 is the 



