As to the Ufe of thefe Tables, it is fuppofed that the 
Reader is fo much verfed in Aftronomical Calculati- 
on, as to know how to compute by them, tliey being in 
the ufual Form ; if not, there is fuffieient direftion given in 
the Correftion o{ Hugem's wSateilite, to be found in 
Numb. 145', of thefe Tranfaftions. I fhall only add, That 
the Proportion of the Squares of the times of the Periods, 
to the Cubes of the Diftances, (which is propofed as pro- 
bable by Kepler, but now demonftrativeiy found true by ^ 
Mr. Newton^) gives us nicely the Proportion of the Diftan- 
ces of thefe Planets from the Center of Saturn ; and fuppo- 
fing the Satellite oiHugens four Diameters of Saturn's Ring 
diftant from him, we ihall find by the Periods, the Diftan- 
ces, as follows. 
Periodus. Diftantia. 
d. h. . 
Intimi i ai i8i— o, 964 
Penintimi 2 17 41 i i> 2.55 
Medii 4 i; 47+ 740 
Penextimi 15 ^^ 41 — — 4, 000 
Extimi 79 7 54 11, 621 
Thefe Diftances may be ufed , as more accurate than 
thofe obtained by Obfervatian, which yet differ but little 
therefrom. The outer moft Satellite being fo far diftant, 
cannot fail of being feen every greateft Elongation. This 1 
prefent Year 1687, it will be in its greateft occidental di- 
ftance July a again OBoh. ii. and Jan, 2. 1688. and on ^ 
the Oriental Side on Sept, 3. 1687. Nov, 23. and about the 
middle of Feh. 1 688. at which Times all thofe that are fur- 
niflied with good Telefcopes may fatisfic themfelves of the 
Truth of thefe DifcovSics. 
Thofe that defire a fuller Account of this Matter, may 
find it in N. 52. N. 145. N. 181. of thefe Tranfadions. 
An 
