C ] 
II. The Rule for a further Correction ad libitum. 
Let A/be the given mean Anomaly , t the Semi 1 - 
tranfverfe Axis, as before 5 and let B be equal to or 
nearly equal to the Multiple Angle n x A before 
found, then if^ be the mean Anomaly , and at the Planet's 
Diftance from the Sun, computed to the Anomalia Ec - 
centri Bb the Angles taken equal to B + f x M 
will approach nearer to the true Value of the Angle 
fought, and by Repetitions of the fame Operation,, 
the Approximation may be carried on nearer and 
nearer, ad libit ufn. 
This laft Rule being obvious, the Explication of 
it may be omitted at prefent. 
S g h o l i u m. 
In this Solution, where the Motion is reckoned 
from th zBerihelion, the Rule is univerfal, and under 
no Limitation : But had the Motion been taken from 
the Aphelion , the Problem muft have been divided 
into two Cafes : One is, when the Eccentricity is lefs 
than 5 the other is, when it is not lefs, but is either 
equal to, or more than in that Proportion. 
If the Eccentricity be not lefs than 7^-, then the 
fame Rule will hold, as before, only putting the 
Aphelian Diftance, .fuppofe (a) inftead of the 5 Pm- 
helian Diftance (jfr), and fubftituting —f for A-f in 
the Rule for the Number n . 
If the Eccentricity be lefs than then take the Num- 
ber n equal to and ~ x — will be nearly equal to 
A r f n a R 
the Sine of the Submultiple Part of the Anomalia 
Eceentri denominated by the Number as before. 
It 
