146 ESSAYS anv OBSERVATIONS 
is the log, of 0°.09277743 the angle DCG 
therefore is 00927774; therefore the 
angle ACG, the anomaly of the excentric,. 
is §5’.0124588, 
EXAMPLE HI. 
SupposinGc the mean anomaly in the 
fame orbit to be 45°, it is required to 
find the anomaly of the excentric. 
The log. tang. of 22° 30 is 9.6 172243 
‘The dif. of the logs. of AS, SPiso OBEGaBy 
The difference 9+53661 58 
is the log. tang. of 18° §9°.1327325, half 
the difference of the angles CSB, CBS; the 
angle CSB, that is, the angle ACD, there= 
fore, is 41° 29'-1327325 3 and the angle 
CBS or BCD is 3° 30 .8672675. 
The log. tang. of half the angle 
“eae 9.5 783203 
The diff. of the logs. of AS, SP is 0.080608 5 
The difference 9.4977118 
1S 
