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And the proportion of D B to O is that of the mean diftance of the 
fun, to the mean diftance of the moon. 
,r 
This is in brief the method of my computation. The computation is 
as follows : 
The periodic month is to the anomaliftic month, as 57600 to 58091. 
Therefore (in Fig. 1.) TA 3 : TP 3 = 57600* : 58091* = 3317760000 : 3374564281 
= I ’ 0 O ,2,2 748963i5S t 864i9753o'864i9 7 s 3 o > &c. 
Hence, by extrafting the cube root, I find TA : TP - 1 ; 1,005674827053. 
Therefore put TA~i, Then TP — 1,005674827053 j and A P —0,005674827053" 
T A x A P 
Hence — — — = 0,002797722 = Am. 
2! A -f- 5AP ' 1 
(See Fig. 2). The fquare of the periodic month is to the fquare of the fidereal year, 
as 1 to 178,725. 
Therefore TA : TV — 1 : 178,725. 
But TV : TG = 1 : 0,002797722. 
Therefore TA : TG zr 1 : 178,725 x 0,002797722 = 1 : 0,50002286445. 
TA : TG zz 1 E ; TA. Therefore TE : TA rz 1 : 0,50002286445. 
Therefore put TE — 1. 
Then TA zz 0,50002286445 
And E A = 0,49997713555 
And 3TEXTA zz 1,50006859335 = EOA. . 
EA N 
Hence AO 
(=Vte 
xTA I- 
E a 1 
— 1,00003658292. 
But AB _ 2TA = 1,00004572890 
Therefore OB — 0,00000914598 
Therefor e AO X O B — 0,0000091463145866546616 
Therefore v'AOxUH zz 0,00,32024287 = Ox 
But DB zz 3TA rz 1,500068593 
Hsnce DB : O.v zz 496,0073 : 1, 
Thefc 
