Chase.] 



422 



[Oct. 6. 



(2) 



336,153 r/13, whicli is 1.33 per cent, greater than the estimate which is 

 based on requirements of oscillation and subsidence (Notes 5, 23, etc.). 

 If /„, /i designate the centrifugal force of rotation at 1\,, I, respectively, and 

 g^ Qi represent the corresponding centripetal accelerations of gravity, 

 equation (1) maj^ assume the form : 



''»ofh ~ Ih (Jo 



Equation (1) is especially interesting for its bearing on the conservation 

 of solar energy (Note 268); equations (1) and (2) represent the equal 

 ratios of action and reaction between centripetal and centrifugal tenden- 

 cies, all the numerators having a centrifugal origin, while all the denoipi- 

 nators are centripetal. Combining these equations with the equation of 

 Earth's pliotodynamic vis viva (Note 91), we get 



(-)•'• 



V^;./ r. 



Here also we have centrifugal numerators and centripetal denominators, 

 together with photodynamic orbital relations of mass, distance, velocity, 

 rotation, revolution and condensation, which are very suggestive. 

 371. Perissad Relations of Nitrogen. 



If we take the continued product, for all the elements, of the percentages 

 of D which represent (» D — O) -f- D, the hydrogen product is 69.208 

 times as great as for Gerber's empirical divisors, andl8178.47 times as great 

 as that for my pliyllotactic factors (Note 136). While this is sufficient to 

 show the influence of phyllotactic tendencies, my comparisons of relative 

 probability have led me to the discovery of important modifications of these 

 tendencies by the abundant gases, H, N, O ; H being & representative 

 factor of the monatomic elements, \ N forthetri and pentavaleut, 8 H for 

 the di- and tetratomic, J^j O = .998 for the remaining metallic elements. 

 The effect of a slight difference in the divisor upon the residuals, as well as 

 my method ot operation, may be illustrated by testing Gerber's divisor 

 (Di = 1.559) and my own (D^ = i- N =; 1.558) on the tri-and pentavalent 

 elements: 



