Chase.] 4bb [June 17, 



understanding of the difference between positive and negative electricity, 

 or austral and boreal magnetism. While the action of aethereal oscilla- 

 tions must be modified by every centre of inertia, whether cosmical or 

 molecular, the reactions of Sun and Jupiter must always greatly preponder- 

 ate. In analyzing the product of the reactions into electrostatic and elec- 

 tromagnetic elements, M- may be considered as representing a mean pro- 

 portional between the positive and negative masses. Reasoning from 

 analogy, it seems probable that the electric M may represent a product, 

 and M^ a mean proportional, in all cases. 



84. 8im-8pots and Planets. 



The evidences of connection between sun-spots and planetary perturba- 

 tions, the phyllotactic rhythm in periods of planetary revolution which 

 was pointed out by Peirce and Hill,* the twelve harmonic nodes between 

 Mercury and Sun of which I have already given evidence, f the relations 

 of "magnetic storms" to sun-spots and to auroras, the confirmation of my 

 first intra-Mercurial node by the British sun-spot observations, :j: as well as 

 the various indications of a possibility that Swift's and Watson's planets 

 maj^ have been transient nodal aggregations, all seem deserving of con- 

 sideration in studying the actions and reactions among the various forms 

 of kinetic energy. 



85. Stellar relations of Central Density, 



In the stellar-solar paraboloid the abscissa which indicates Earth's nebula- 

 rupturing locus, is also the locus of solar-rupture in subsidence-collision. 

 The multiples 3, 4, 5, appear as coefficients, either of incipient subsidence 

 or of final rupture or of both, for Earth, Mars, mean asteroid and Jupiter, 

 their rupturing loci being, respectively, f, f, f, | of their semi-axes major. 

 The corroboration of the importance of Earth's position at the centre of 

 density, which is furnished by Note 80 et seq., is strengthened by the fol- 

 lowing multiple relations of Earth's semi-diameter, r^ : 



1 (3 X 4 X 5) X ?'.s — Moon's semi -axis major. 



• 3 (3 X 4 X 5)2 X ^^3 = Perigee of Venus. 



3 (3 X 4 X 5)^ X ^3 == Saturn's semi-axis major. 



4 4 (3 X 4 X 5)* X ?'3 — Solar modulus of light. 



5 Stt (3 X 4 X 5)5 X ^3 == Distance of « Centauri. 



The deviations are of the same order of magnitude as planetary eccen- 

 tricities, being as follows : 1, about ^ of one per cent. ; 2, nearly 2§ per 

 cent. ; 3, nearly 3.4 per cent. ; 4, less than 2V of one per cent. ; 5, less than 

 3| per cent. The fourth locus is equivalent to the latus rectum of a para- 



boloid in which modulus is the focal abscissa ; the fifth is -g- of (3 x 4 x 5) 



* Proc. Amer. Assoc, v, 2. 



t Proc. Am. Phil. Soc, xix, 367. 



X lb., xiii, 470. 



