Researches in the Theory and Calculus of Operations. 321 



with and finally becomes converted into blood by an ex- 

 treme complex mixtion and mixt concoction. Arrived at 

 the surface or limit of its advancing course, the sangui- 

 ferous fluid enters the capillary vessels or the glandular 

 pouches, whereabouts it achieves its most essential trans- 

 formation and the turning point of its course. The forces 

 of the incoming liquid substance decompose the solid sub- 

 stance found in loco, replace it in outline and in essence 

 with freshly elaborated matter, and elimiDate a negative 

 portion in the form of excreta, with force sufficient to con- 

 tinue operations. For instance, if the cutaneous surface be 

 the limit reached by a particular channel, the finished com- 

 pounds rejected are the cuticular membrane, the old one 

 dropping off in scales; the hairs (or scales or feathers 

 horns, teeth, etc.), which are shed or worn off; and the 

 sudoriferous exhalations. In all parts of the system, such 

 final rebuilding de- and re-compositions go on incessantly, 

 with expulsion more or less directly of matters effete for 

 the present purpose; and this is the process of . life 

 (Huxley, &c). 



39. The broad distinction in chemical process between 

 crystallization and vivification lies in the difference of re- 

 sultants due to the combination of atomic forces of equal 

 degrees, compared to those arising from atomic forces of 

 unequal degrees of energy; the former resultants being 

 statical, the latter dynamical. "Where the atomic energies 

 are equal, the resulting compound is a neutral, in stable 

 equilibrium, in the form of crystalline deposit for instance. 

 But when the energies are unequal, a part only of the 

 higher atomic forces unite with the lower in equilibrium, 

 the balance remaining disposable for further action. 



A force of the n th degree generates force of the (n — l) tl1 

 degree, which generates force of the (n — 2) th degree, and 

 so on down to the force of the (n — n) th = th degree, which 

 is the phenomenal result due to the exhaustion of the force 



Trans. t>u\] 41 



