26 



PROCEEDINGS OP THE AMERICAN ACADEMY. 



Some of the results given iu the first column of Table VII., with some 

 others, are represented graphically iu Figures 1 and 2. In Figure 1 the 

 ordinates ai'e the final axial temperatures ; the abscissas, the distances from 

 the cold face of the slab. The straight line corresponds to an infinite 

 slab ; the other curves, in order, to disks where a = I, a =^ ^ I, a — ^ I, 

 and a = ll, respectively. In Figure 2, the ordinates of the three curves 



u ^ , , . . . i I 3; 



are the final temperatures on the axis at the points 2=-, z =^ - . s = — , 



respectively, and the abscissas are the values of a, each horizontal space 

 corresponding to a change in a of ^ I. 



TABLE Vn. 



Final Axial Temperatures in a homogeneous Disk of Radius a and 

 Thickness I, when one Face (c = 0) is kept at 100° C.,the other Face 

 (c = /) at 0° C, and the Edge at the uniform Temperature 0. 



