On the immediate source of the Carbon exhaled by the Lungs. 429 

 as it explains the manner of constructing the bee's cell, and of 

 obtaining the angle required. 



I intend very soon to enter more fully upon the subject, and 

 by the aid of models to show the construction of the bee's cell, 

 as well as that of many other bodies. I am of opinion that the 

 study of geometry would be simplified by the use of models, 

 showing how certain forms are built up with solids of a definite, 

 though not of a primitive form. 



I remain. Gentlemen, 



Your most obedient Servant, "•■• * 



25 Suffolk Street, Pall Mall, S.W., Chaules ]\I. Willich. 



August 10, 1859. 



LXVI. Remarks on the immediate Source of the Carbon exhaled by 

 the Lungs. By Edward Smith, M.D., LL.B., Licentiate of 

 the Royal College of Physicians, Assistant Physician to the 

 Hosjiital for Consumption, Brompton, ^"c* 



IN the course of a lengthened inquiry into the influence of 

 foods and other agents over the evolution of carbonic acid, 

 now being published in the Transactions of the Royal and other 

 Societies, numerous facts have been observed which offer mate- 



by using a different number and mode of arrangement, may be produced a 

 variety of symmetrical geometrical forms, in addition to the following : — 



" 1. The cube consists of twelve of these bodies. 



" 2. The octahedron consists of four of these bodies. 



" 3. The oblique rhomboid consists of six of these bodies. 



" 4. The dodecahedron consists of twenty-four of these bodes. 



"5. The dodecahedron also consists of four oblique rhomboids— or two 

 cubes, or six octn.liedrons. 



" The bee's cell consists of seven oblique rhomboids, or forty-two half 

 pyramids. 



" It is therefore evident that the bee's cell is an elongated dodecahedron. 



" It may be observed that the jiyramid, or one-sixth of the cube obtained 

 by the first mode of partition, may be divided into four bodies, each of 

 which is one-third of a cube containing one-eighth of the mass of the cube 

 from which it was derived. So that, in fact, we may go on dividing and 

 reproducing bodies of a similar shape, and still retaining the diagonal lines 

 of the cube. IIow far this subdivision may be carried in nature, or how 

 much further than our ])owers of vision go, I will not at present venture an 

 o)>ini(>n. Wc can imagine the commencing atoms may be infinitely small, 

 when we remember the wonders revealed by the microsco])e. 



" I remain. Sir, vonr most obedient Servant, 



" 25 Suffolk Street, Pall Mali, S.W., " Chaules M. Willich." 



July 1, 1859." 



* Communicated by the Author. 



