IDENTICAL CHANGES 



the two bodies, or through a vacuum, and plainly 

 the transmission is through void matter. 



Then whatever we consider force to be, if the 

 transmitting body throws off this force in all direc- 

 tions, and the receiving body receives its quota from 

 that sphere of influence, then the increase in dis- 

 tance must lessen the intensity of the force after 

 the inverse cube. (Prop. IV, B. 2.) But while 

 the sun shines in all directions, our eyes receive the 

 light from one direction only, in any particular 

 transmission, and the intervening primary spheres 

 increase in number after the square and divide any 

 vacated space between themselves.* If the P. S. of 

 void matter were placed all at right angles to one 

 another throughout the Universe, then the increase 

 of distance between two bodies under the action of 

 force would mean a simple increase of P. S. in- 

 volved. But the slightest movement would dis- 

 arrange any such right angled arrangement. 

 (Ocular demonstration.) 



Again, no organized substance, not even gases, 

 possess that uniformity of particles and freedom 

 of motion necessary to the free play of force, 

 transmission. Therefore, the transmission of force 

 that conforms strictly to an increase in intensity 

 after the square, or the inverse square, by a les- 

 sening of distance, can only be through plane lay- 

 ers of P. S., for a plane increases after the square. 

 (Prop. IV, B. 2.) 



109 



