( »P4 ) 
what* Parts of the Lunar Orb, and how much, our 
Numbers erred. So ufeful an Addition as this, it is 
hoped may fully anfwer the long delayed Expectation 
fome Perfons may have had of feeing the Paid Tables 
fooner. By Means thereof, thofe that are qualified 
may, if they pleafe, examine by their own Obferva- 
tion the Truth of what is here afferted. 
Comparing likewife many of the mod accurate of 
Mr. Ylamjteedy made eighteen or thirty-fix Years be- 
fore (that is one or two Periods before mine) with 
thofe of mine which tallied with them, I had the Sa- 
tisfaction to find that what I had propofed in 1710 
was fully verified f and that the Errors of the Cal- 
culus in 1^90 and 1708, for Example, differed in- 
fenfibly from what I found in the like Situation of 
the Sun and Apogee, in the Year 17 16. The great 
Agreement of the Theory with the Heavens compen- 
fating the Differences that might otherwife arife from 
the Incommenfurability and Excentricity of the Mo- 
tions of the Sun, Moon and Apogee. 
Encouraged by this Event, I next examined what 
Differences might arife from the Period of nine Years 
wanting nine Days, in which Time there are performed 
very nearly one hundred and eleven Lunations , or Re- 
turns of the Moon to the Sun ; but the Return of the 
Sim to the Mpogee in that Time differing above four 
times as much from an exad Revolution as in the Peri- 
od of eighteen Years, I could not expeft the like Agree- 
ment in that. However,. having now entered upon the 
tenth Year, X compared what I had obferved in the 
Years 1721 and 1722,. with my late Obfervations of 
1:730 and 1.7.3 13, and have rarely found a Difference of 
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