Researches in the Theory and Calculus of Operations. 307 



mines the secretion and the solidification of the coat of its 

 stem or bark of its trunk. The endosmic affinity of the sub- 

 stauce of the growing stem for water allures this fluid from 

 the ground to the upper extremity, where the cellular forces 

 are fairly encountered by the spectral forces of the Sun as 

 the season advances to its proper height; the hitherto sphe- 

 rical, spheroidal, or cylindrical forms of atomical vibration are 

 transformed into lateral or plane vibrations in obedience" to 

 the transverse vibrations of the calorific or actinic rays; the 

 advancing growths of the twigs terminate in buds, which, 

 under the new influence, disintegrate into thin laminae, 

 and finally burst forth into leaves. Arrived at this present 

 limit of individual growth, an exchange of passports takes 

 place between outside and inside; the water offers itself 

 for evaporation in the leaves; the endosmic affinity of the 

 thin partition transmits largely the oxygenous element to 

 unite with the oxygen of the carbonic acid of the outside 

 air, and returns the latter to form the hydro-carbon re- 

 placing the eliminated oxygen of the water, and which 

 serves to develop the flower and fruit as well as to contribute 

 to the further growth and maintenance of the existence of 

 the plant. 



With the climax of the season, the accumulated finer 

 solar influences call forth the terminal buds, which expand 

 in spherically enclosing shells in the order of sepals, petals, 

 stamens, and central pistil. At the superior terminus of each 

 stamen appears the limiting cellular metamorphose in the 

 globular shaped anther. 



33. As in the macrocosm or greater world, we saw the 

 primeval germ expand in an unresisting void till encountered 

 by foreign similarly expanding germs, whence the nebulous 

 substantial force returned towards the centre, casting off 

 nuclei in the form of planets, and dropping much debris by 

 the way in shapeless aeroliths, cometary matter, etc., but 

 all the time gathering and condensing forces in the various 



