[ 4i3 ] 
Mr. Flamftead's Obfervations, after the Method h§ 
himfelf teaches, in Trolegom . Hift. Coeleft> p. 1 3 3 > 
& feq . which, for many Reafons, I think the beft 
Method hitherto ufed 5 and, with the Concurrence 
of a Gentleman well skilled in thefe Matters, deter? 
mined the mean Motion of the Sun at Greenwich , 
the Jaft Day of 'December at Noon, Anno 1700, O. & 
^ 2o p 43' 40" of its Apogee, © 7 0 30' o‘\ an 4 
the greateft Equation of the Sun's Centre x 0 5 5 * 40" 5 
which, I am fully perfuaded, are very near the Truth. 
The Theory of the Sun being thus fettled, I pro* 
ceeded to examine the Elements of the lunar Agro- 
nomy. I began with Obfervations of lunar Eclipfes 
about the Equinoxes, when the Apogee of the Moon 
was in the Sun's Quadratures 5 becaufe at thofe 
Times I could conceive the Moon's Motion affedled 
with no Inequality, but the annual one, called by 
Newton the firft Equation, and the elliptic one, 
called c ProJihapharefis : From a Comparifon of fitch 
Obfervations I obtained the Moon's mean Longitude, 
which came out i', at lead, greater than in the Ta~ 
bks, and very nearly as Newton has it in the laft 
Edition of his 'Trincipia. 
I went on to examine the Place and Motion of 
the Apogee, and Theory of the Increafe and De- 
create of the Eccentricity, as well as the greateft and 
leaft Eccentricities themfelves (from the beft Obfer- 
vations, and beft fituate that I could procure) all 
which agreed fo well with the Tables, about the Suns 
mean Diftances, that I dare venture to make no Al- 
teration therein : Indeed I think the 6th Equation 
does not fo well account for the Variation of the 
Motion of the Apogee, and Change of the Eccen- 
tricity, 
