C *79 ] 
Received February 12, 1767. 
XVIII. ^ Computation of the Dijiance of the Sun from the 
Earth . By S. Horlley, LL.B . ReSior of Saint Mary, 
Newington, in Surry, i 7 . i?. & 
Read March 26, T Offer the following computation, rather as a verification 
* 767 ’ JL than an amendment of Dr. Stewart’s. The method, in 
which I have purfued, is different from what is ufed by that great and 
able geometrician, in his treatife on the diftance of the fun, but founded 
entirely on the theorems eftablifhed in that and the preceding traces of 
the fame author. 
Let TA be a given line. Take Aw, fo that TA may be to A m t as 
the moon’s accelerating attraction to the earth, to the fun’s mean 
difturbance of that attraction. Take AG quintuple of Am. Take 
AP, fuch that twice Aw may be to AP, as TGtoTA. Now it is 
proved in the twenty-fifth propofition of Dr. Stewart’s fourth trad, that 
the cube of TA is to the cube of T P, in the duplicate proportion of the 
periodic month to the anomaliftic month. Therefore the proportion of 
TA 3 to TP 3 , and confequently that of TA to TP, is given; and by 
divifion, that of TA to A P is given. Therefore TA being 
given, A P is given. Now T G : T A — 2 Am : A P. That is, 
A a 2 TA 
