l&Sl.J 5"" [Chase. 



of forced oscillations through their common centre of gravity. Circular 

 orbital velocity at their mean centre of gravity has become "nascent " ve- 

 locity for the mass at the centre of the belt of greatest condensation (Earth). 



129. Badius of Primitive Condensation. 



The importance of the three masses, which were considered in the fore- 

 going note, seems to strengthen the probability that the resulting oscilla- 

 tions are exactly recorded in relations of mass, distance and velocity. If 

 such is the case, Earth's semi-axis major may be easily computed. 



g,t.^ 32.087 X 43082 



1. Earth's nascent velocity is -^^ = f^qq = 261.81 miles. 



2. The mean locus of the centre of gravity of Sun and Jupiter is 

 5.2028 



f(T4" 8~ Q 4- 1 °^ Earth's semi-axis major. 



. ' / 5.2028 \* 



3. If vg^i\ = 261.81, Earth's orbital velocity is \ 1047 8^9 4- 1 J ^ 



261.81 = 18.4392 miles per second. 



4. This would give, for Earth's semi-axis major, 18.4392 X 1 year in 

 seconds -=- 2 - = 92, 613, 000 miles. 



130. Paraboloidal Inclination. 



The progression of the stellar-paraboloidal abscissas may be expressed 

 under the form r(7j^")"', positive values of n giving centripetal, and nega- 

 tive values giving centrifugal abscissas. The r] ordinates are, therefore, modi- 

 fied by f . as often as the fundamental abscissa is modified by the modiiied 

 ordinate. The ^ modification seems to imply a cyclical elliptic-influence 

 consequent upon rotation. If f is the semi-axis major and -q the semi- 

 axis minor of the ellipse, the inclination of the ellipse to the tq circle may 

 be readily found by the equation 



? 1.012974 

 Sec. c = ~ 



V 



.9958534 



V 



= 10^ 32' 56". 



131. Other Cometary Hypotheses. 



The hypothesis in Xote 114 is only one out of many which might be as- 

 sumed with nearly equal probability. The great fact which is to be ac- 

 counted for is the evidence of paraboloidal influence, extending from the 

 region of the nearest fixed stars to our Sun, and affecting intra-nucleal nodal 

 condensations, revolutions and rotations, through cj-clical undulations 

 which are harmonically determined by the inertia of Sun's mass and the 

 velocity of light. I have already shown some of the important modifications 

 which are introduced into the nebular hypothesis by these evidences of 

 paraboloidal or cometoid subsidence, and I look confidently for the discov- 



