[ 186 ] 
been to make thefe methods ufeful, I cannot do 
better, than fubmit them to the beft judges. Your 
reputation, Sir, engages me, to lay them before you, 
and to beg you would examine them : flattered as' 
I fhould be with your approbation, I fhall receive, 
with great gratitude, whatever criticifms they may 
happen to iuggeft. Obfervation muff determine, 
whether, by this method, it will be poflible to ar- 
rive at an agreement, which hitherto has been wifhed 
for, without being attained. 
You know, that the obfervations of the eclipfes of 
the third and fourth fatellites, made by different 
obfervers, vary from each other 3, 4, and 5 minutes, 
and fometimes more; and that there is even a pretty 
fenfib ! e difference in thole of the fecond. In the 
38th page of the preface to my Ef/i/y on the ‘ Theory 
of ihe Satellites, which has been prefented to the 
Royal Society, I mentioned the inequality difcovered 
by Mr. de Fouchy, and I fuggefled, that the perfect - 
Mon but a ere que ces rrerhodes foient utiles; je ne puis mieux 
taire, que deles foumenre aux meiiJeurs juges. Votre reputa- 
tion, Monfieur, m’engage a vous les detaiiler, et a vous prier tie 
]es examiner : votie fufFrage me flatterait ir, Raiment, mais je 
recevrai toujours avec reconnoillance les reflections critiques que 
ccs nehodes pourront vous fuggerer. Les obfervations vous 
feront connoitre ft par cette methode on peut parvenir a un 
accord que 1’on a fouh ire jufques ici fail:. 1’avoir obtenu. 
Vous favez, que les eclipfes du troifleme et du quatneme fatel- 
lite, fattes.pardifferens obfervateurs, different uur’eiles de 3, 4, 
5 minutes et quelquefois plus; et que celles du iecond different 
n eme aflez fenhblemenr. Dans L' Ejf*t fur la Theorie da Satellites^ 
do-nt j’ai fait hommage ala Societe rtiule, je parlais dans lapreface, 
.page xxxviii, de l’inegalit.e decouvtite par Mr,, de Fouchy, etj’an- 
ncrc its. 
