Chase.] ^'^ [April 15. 



one per cent., the accordance between the two in(Jependent approximations 

 will be exact. If the sethereal density towards the centre of density varies 

 inversely as the square of the distance from Sun, the ratio at Earth's 

 orbital distance should be 333,230,090,000,000,000, representing about two 

 and a half times the sethereal density which Sir William Thomson gives as 

 his lowest estimate. 



36. The Expervnenium Grucis. 



At the meeting of the American Philosophical Society in which Dr. 

 Henry Draper announced his discovery of oxygen in the Sun, he proposed 

 that I should test my theory of harmonic iBthereal action by an examina- 

 tion of the solar spectrum. I accordingly sent a note to the Society, on the 

 23d of August, 1877,* in which I showed that the wave-lengths of five of 

 the Fraunhofer lines were in harmonic progression, and that four of them 

 were also flgurately harmonic, viz : 



Divisors. Harmonic Quotients. 



1.0000 761.20 



1.1071 =: 1 + 7 X .0153 687.56 



1.2907 = 1 + 19 X .0153 589.76 



1.5661 = 1 -f 37 X .0153 486.05 



1.9333 = 1 -f 61 X .0153 393.73 



The cosmical importance of these harmonies is shown by tlieir relation 

 to the projectile energies of Sun Qj,o) and Jupiter (a,), as measured by tlie 

 product of their respective masses by their perihelion vector-radii. For 



^^-^°~^°^' ^.0153. 



I showed, moreover, that the combined photodynamic influence of the 

 centres of nucleation and of nebulosity, /^o and /^j, is traceable in the remain- 

 ing Fraunhofer and other subordinate lines, viz : 



Divisors. Harmonic Quotients. 



1.1.530 = 1 -f 10 X .0153 660.19 



1.1989 = 1 -f 13 X .0153 634.92 



1.3825 == 1 + 25 X .0153 .550.60 



1.4437 = 1 + 29 X .0153 527.26 



1.4t43 = 1 + 31 X .0153 516.31 



1.6579 r= 1 + 43 X .0153 459.13 



1.7650 =: 1 4- 50 X .0153 431.27 



The influence of the pendulum-factor is shown in the tendency to differ- 

 ences among the harmonic divisors, which are multiples of 3 X .0153 or 

 sub-multiples of 2'^ X 3 x .0153. 



37. Supra- Telluric Ethereal and Cosmical Nodes. 



The crucial demonstration of the law of harmonic oscillation, in the 

 sethereal medium as well as in the bodies which are whirling in its eddies, 



* Proc. xvii, 109-12. 



