258 Researches in the Theory and Calculus of Operations. 



etc. ; each hemispherical shell equilibrated by its opposing 

 hemispherical shell. 



3° The spherical shells a 2, 2 2', 2' 2", etc. represent the 

 departing electric half-waves, which are as in fig. 44 a 

 (radius to distance of center as 1: i=2); the dichotomized 

 atomical forces remaining attached half within and half 

 without the material sphere 01 (also fig. 9, A 2 , B 2 ). Equi- 

 librium here exists also between opposing pair of hemi- 

 spherical shells marked a 2, 2 2', 2' 2", etc. which thus 

 exhibits the status of the two opposing electricities positive 

 and negative. 



4° A cogent verification of the truth of the principle of 

 emanation is exhibited by the familiar experiment of placing 

 in contact two drops of homogeneous fluid, water or quick- 

 silver for instance (fig. 47, A) : the two inside radii meet at 

 b the point of contact with equal intensity, and consequently 

 pushto annihilate each other, leaving the mutuallly opposing 

 outside radii Oa andO Vto pull the drops together and coa- 

 lesce into the single sphere B. 



5° Spherical condensation may be explained on fig. 48 : 

 outside pressure upon the shell a b annihilates the half-shell 

 ae of force and liberates the other half eb, which then tends 

 to move towards the centre O; and in so doing, annihilates 

 be\ which liberates e'c and furthers the condensation, etc. 



9, The figures (fig. 8) are plane sections of so many solid 

 parallelopipes. GG',KK' is a solid bank or block say of gra- 

 nite, on which stands the parallelopipe A of pure iron ready 

 for operation, B and C being states of the same bar after 

 operation. The enclosed fine circlets are intended to repre- 

 sent the magnitude of the atomic forces that may be deve- 

 loped in the bar by a suitable blow inflicted upon the upper 

 extremity. Forces press in all directions. In every successive 

 instant of time, the immanently generated and generating 

 forces reach both superficial extremities of the bar, where 



