88 



For p(z) not a constant lie is the only solved foiiu. 

 Ilia. 0^z) = ,p(as);fizfj^j 



lUb. ,p{z)=b<p{az); z-'p^.f (z^) 



"^ ^ ' '^ ^ ' ' luy a •' ^ l()(J a' 



Ille. <p{z}=2<p{az); [t\(l+a'"z). ^ (1 + «!')./ (,~i^) 



Illd <p{z)=p{z)i>{az); (p(o)=l); r(z)./[Z^J. 



The T (z) has the same number of branches as p{z). It maybe algebraic. 

 When transcendental x is its only essential singular point. 



The solution of any equation of form 111. consists of a product of solutions 

 of the four types given. 



Nkw Mechanicat. Computer. By Fred Morley. 



A New .Apparatus for Photographic Surveying. By Fred Morley. 



Crushinc; Strength of Wrought Iron Cylinders. By W. K. Hatt and 



L. Fletemeyer. 



Test.s of a Wrought Iron Car Axle. P5y W. F. M. (toss. 



While much has been written concerning the variety and intensity of the 

 stresses which service conditions impose upon car axles, there have been presented 

 but few descriptions of the behavior of such axles when under stresses that are 

 simple and definite in character. Interesting material of the latter class is sup- 

 plied by a recent test of a (iO,0(JO-ponnd axle made in the Engineering Laboratory 

 of Purdue University. 



The axle tested was supplied by the Bass Foundry and Machine Works, of Fort 

 Wayne. It is said to have been made of No. 1 wrought railroad scrap, and to have 

 been selected at random from a lot of 100 which were being shipped to a railroad 

 company, and with it there was delivered to the laboratory a small test specimen 

 which had been drawn down from the crop end of the axle. As prepared for the 

 tests the axle carried two 33-inch cast wheels, and it was tested under transverse 

 stresses, while the small specimen was sul)jected to tensional tests. The work was 

 executed by Mr. J. H. Klepinger, who perfected details in the general plan and 

 was painstaking in the manipulation of the apparatus. 



