154 ESSAYS anp OBSERVATIONS 
ancmaly of the excentric is nearly 59° 
39 .2739959, that is 59° 39'.16' 439754. 
Ir the mean anomally reckoned from 
the perihelion be 120°, the anomaly of 
the excentric would be nearly 120° 
20.43 -560246, which agrees very nearé 
Ty with Mr Machin’s numbers in the 
forecited TranfaGtion. 
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 the excentric, fubtraé the 
difference of the logs. of the aphelion and 
perihelion diftances, the remainder will 
be the leg. tang. of an angle; to this an- 
gle add half the anomaly of the excentric 5 
let the fum be called the angle C; to the 
log. tang, of the angle €, add half the 
fum of the logs. of the apkelion and pe- 
rihelron diftances ; from this fum, fub= 
tra the log. ‘of the mean diftance; the 
remainder ‘will be the log. tang. of the 
coequate or true anomaly. 
Lit CL be the leffer axis of the planet’s 
orbit, Becaufe, from the nature of the 
ellipfe, 
: 
ae 
