18S2.] ^'^-L rChase. 



The aggregate probabiliU^ of the hydrogen divisor is, therefore, MAOQ 

 times as great as that of the general perissad divisor, 7. 

 For the artiads 



1 (for D2) = C 45". 3906748 

 2" (for D3) — D "38". 1502848 

 D — C 6.7596100 



The aggregate probability of the general artiad divisor, 8, is therefore 

 5749234 times as great as that of the Inalrogeu divisor. 

 For all the elements, 



V (for D, and D,) = E ' 6" 5". 8599714 



2 (for D3) = F "ST. 0829428 

 F — E 5.2229714 



The aggregate probability of the atmospheric divisors is, therefore, 

 167098 times as great as that of the hydrogen divisor. 



Dividing the sums of the perissad, artiad and total logarithms by 20, 44, 

 64, respectively, we get for the mean values of (^n D — O) -^ D, and for 

 the mean relative probability of phyllotactic influence. 

 Log. 

 Perissad, Di T. 0334648 



D3 "2.9466329 



Artiad, D, "2.9861517 



D3 T. 1397792 



Total, Di, Dj 2". 9978121 



D3 T. 07942 10 



The relative probability is found by dividing the mean accidental ratios 

 for 20, 44, and 64 numbers, with differences equally distributed, by the 

 antilogarithms, or observed ratios. The accidental ratios are .22607 for 

 the perissads, .20578 for the artiads, .19985 for the whole list of elements. 

 Some criticisms have been made upon my previous estimates of proba- 

 bility, which overlooked my demonstration that ordinary'- tests fail to show 

 probabilities which are known to exist (Xotes 145, 149), and my introduc- 

 tion" of "the a priori probability of tendency to division in extreme and 

 mean ratio " (Note 171). As my object is to show the relative probability 

 of diff"erent divisors, and as it is impossible to know what weight should 

 be given to a prioi^i considerations, the present method may be acceptable. 



270. Fundamental Ce7itriftigal and Centripetal Mass-Relations. 



. The influence of cardinal loci upon the relative masses at the chief centre 

 of nucleation and at the chief centre of condensation, is shown by the 

 equation : 



^ il _ ^'= /n 



In this equation, ^3 = Earth's semi-axis major ^ 1 ; ^5 = Jupiter's semi- 

 axis major = 5.202798 ; r^ = Sun's semi-diameter ; I = Laplace's solar 

 limit = 36.3658 r„ (See Note 75). This gives for Sun's mass, m^ = 



