[82] 
lorlgatioiis of the firft, which likewife made it hard to de- 
termine their DegrefTions. It was not without a great 
nnmber of choife Obfervations, that it was concluded that 
the proportion of the digreffion of thefecond, to that of the 
firft, counting both from the Center of Saturn^ is as 22 
to- 17. 
The Rule of the Proportion^ that is between the Diflan^ 
ces and the times of their Periods. 
The time wherein the fecond Satellite makes its Revolu-» 
tion, is to the time wherein thQ firft makes its, is as 24? to 
17 , which is a greater Proportion by half a Degree than 
that of che Diftances, viz. 22 to 17. This is that very fame 
Proportion which oblerves, between the Diftances 
& Periods of the primary FUmtSy and which we have found 
between the other Satellites of Saturn , upon our former diC- 
covery, and is verified in the Satellites of Jupiter. There 
is nothing that better Ihew s the admirable Harnwny of the 
particular Syftemes, with the great Sylteme of the World, 
7 he Number of the Cmjm^ions ^ of thefe Satellites 
mthSditVLm. 
• 
Of all the Satellites that are, there are no two fo near 
placed to their primary Vianet ^ as thefe two SateMites of 64- 
^/^r;^,and which taken both togather make ib great a number 
of Conjunctions with their Planet in the fame Ipace of time ; 
for there are in all no lefi than 6 5 3 in a year, whereas the 
two firft Satellites of Jupiter make,one with another,but 617 ; 
the firft of Saturn makesits Revolution in j hours longer 
time than the firft of Jupiter Sy but Saturns fecond has its Pe- 
riod 9 hours and half flborter than ]f^£iters kcomi Satellite. 
The 
