140 ESSAYS anp OBSERVATIONS 
fore the line SM will be greater than 
the arc BG: And, if the feétor ASG be 
lefs than the fector ACB, the triangle 
SCG will be lefs than the fetor BCG; 
and therefore the line SM will be lefs than 
the arc BG: That 1s, if the arc AG~be. 
greater, equal, or lefs, than the true ano- 
- maly of the excentric, the line SM will be 
greater, equal, or lefs, than the arc BG; 
and therefore, the lefs. the difference is be- 
tween the line SM and the arc BG, the 
lefs will the difference be between the arc 
AG and the anomaly of the excentric. 
Brcavse the'triangles GCH, CSM, are 
fimilar, CG is to GH as CS to SM; that 
is, the radius is to the fine of 50% 
§1’.093747 as 20589 to CM. 
The log. of 20589 is 4: 3136353 
The log. fine of 50° 5 1’.093797 is9.8895890 
The fum is 14,2032243 
The log. of rad. is 10,0000000 
The difference 42032243 
is the log. of SM. Again, as CA to SM, 
fo is 57°.2957795, ©. the number of de- 
grees 
