Researches in the Theory and Calculus of Operations. 231 



The centrifugal force generated by the rotation tends to 

 reduce the external pressure directed towards the axis, 

 while the pressures from the north and south would be 

 nearly equal and remain constant. These pressures would 

 therefore crowd the substances of the spherical shell towards 

 the equator of the mass, and thus tend to the formation ot 

 rings entire or broken. In any such detached fragment of a 

 ring in circulation, the linear velocity of the exterior sur- 

 face is greater than that of the interior surface, and thus 

 arises an interference resulting in the formation of a centre 

 of rotation of the fragment in the direction of its orbital 

 movement, and we behold the genesis of a planet. 



2. In the beginning, God cast germs of force into space. 

 Unequal in quantity, and planted at unequal distances apart, 

 each germ proceeded onwards in its destiny by emanation 

 in all directions through vacancy. At certain distances from 

 the centre, as OZ', OZ", etc. (fig. 1), the emanation from 

 is encountered and equilibrated by the emanations 

 from O', O", etc., and reaction supervenes. The distances 

 from to Z', Z", etc. are not intended to be represented as 

 equal; and consequently, as the intensities of the several 

 emanators are also unequal, the amounts* of the several 

 reactions or compressions from O', 0", etc. towards will 

 be unequal, severally producing unequal oscillations on 

 different sides towards the centre O; which oscillations, 

 being encountered by the continuous emanation from O, 

 give rise to the formation of a spheroidal shell of substance 

 05. Emanating or moving force is transformed into sub- 

 stance or equilibrated (latent) force in this way : The ema- 

 nators 0, 0', O", etc. are immanent generators of force. In 

 the shell 05, the reaction 7/0 and the emanation OZ meet 

 in the centre of the shell, and annul each other. In the next 

 instant, the opposing emanations from the centre of the shell 

 keep up the equilibrium; while its thickness is increased by 

 the fresh arrival of oscillation from 07/ and emanation 



