greater exacaiiefs being needlefs ; but for the 3d, and 
4th, when Eclipfed, (their Imjnerfions into the fliadow 
and emerfion from it being commonly given in the 
Catalogue) take half the difference of thefe times at 
the next Eclipfe to the time propofed, for the half du- 
ration, and add them to the Simple ^arallaUich^InteV'- 
vails, fo have you them Augmented, But note that 
this year \6%6^ and lo often as the 4th Satellit is not 
Eclipfed, (which is two years in every fix^its Intervall 
needs no augmentation, the Catalogue (hewing the very 
time when it paffes the Axis of the fhadow. 
4. Find in the Catalogue the times of the Eclipfesof 
each Satellit next preceding the time propofed, and 
when the 4th is not Eclipfed, of its pafling the Axis ot 
the fliadow, to which, if the ParallaBick^ Intervalls 
augmented were Additionally add them to, \i Subdu- 
(Slive, SuhftraB them from, each the time of its proper 
Satellits Eclipfe, fo have you very near the Appa- 
rent times, when each Satellit laji paft over the Axis of 
ifi viewed from our Earth. 
S* Subtrad: each of the times thus got from the time 
propofed: the Remainders zxQthQ Intervalls of the Mo-^ 
tion of each Satellit from Axis. 
. 6, Extend the thred from the Center over each of thefe 
Intervalls of Motion numbered feverally in the divided 
Circles belonging each to its proper Satellit , where 
it cuts the proper Orbit of that Satellit, whofe intervall 
was numbered in its peculiar Circle, it fliews amongft 
the parallells, how many femidiameters of that Sa- 
tellit is diftant from him, and on which fide of himtis 
pofited. 
Note further, that the thred as it lay extended over 
t\\tparaUax of t\\QOrb nupbered in the fmall Arch,where 
it cut the feverai proper Orbits of each Satellit, Ihew'd 
amongft the Parallells, how many Semidiameters of ij: 
the center of the fhadow was diftant from the center 
V V V of 
