[40;] 
fnequaliay I fufpeded in this laft, will not be found fo 
large as I feared it might be after I had finiftied the T^- ^ 
bles of their Mean Motions, I let my felf to Calculate o- 
thers for finding the true times of their return to the 
Heliocentrical Conjund;ion of ^ in all places of his Or- 
bite , with fome other which I forefaw would be requifite 
for the eafie Calculation of their Eclipfes : having this 
in readinefs, and being encouraged with the aforefaid 
good fuccefs, of my endeavours, I refolved to Calculate 
all iheEclipfes of the following year 1^84. and to im- 
part them to the publik, if you confented, in the Trades; 
they being much defired both at home and abroad.thatfo 
not only our freinds here, who have a refpe<9:for Novelties 
ofthis fort, but inch forreigners alfo as are Studious of 
Jironomy and Geography, or thofe of our own people who 
Travail into remote Countries, and fliall be accomoda- 
ted with inftruments for this purpofe, may have the 
apportunity of foreknowing inch appearances, as, if 
obferved, will certainly fhew the difference of Meridians 
betwixt them and us. And Imuftconfefs it is fome part of 
my defign, to make our more knowing Seamen amamed 
of that refuge of Ignorance, their Idle and Impudent 
affertion that the longitude is not to be found, by offering 
them an expedient that will afTur^dly afford it, if their 
Ignorance, Sloth, Covetoufnefs, or Ill-nature, forbid 
them not to make ufe of what is propofed. 
1 hofe of them that pretend to a greater talent of Skill 
then others, will acknowledge that it might be attained 
by Obfervations of the Moon if we had Tables that would 
anfwer her Motions Q^2,St\j y but after 2000 years expe- 
rience ( for we have fome Obfervations of Eclipfes much 
ancienter ) we find the beft T^i;^/e/ extant erring fome- 
times 12 Minutes or more in her apparent place, which 
would caufc a fault of a half an hour, or degrees in 
the longitude deduced by comparing her place in the 
heavens with that given by the Tables : I undervalue not 
this Method, for I have made it my bufinefs, and have 
fucceeded iu it, to get alargeftock of good Lunar Ob^ 
