u^ = 



ON TWO EVENTS IN THE HISTORY OF STEAM NAVIGATION. 301 



/2^ 13U22 I0\/I9 7\ 

 _ \4 ' 4A4 ' 4/V4 • 4/ , 



(8.5) . (7.4) . (6.3) 



and the series whicli results is as follows : 



13 10 7 /25 i3\/22 io\/i9 7\ 

 \ 4'4/\4'4/\4'4/ 

 (8.5) . (7.4) . (6.3) 



c^M 1 + i — ±—1^^ + ^ ^, ^ ^ ^ r — 7' ^Z ^/x^+ 



which is the same as that we have employed above. The 

 reader will now have no difficulty in deducing the series in 

 the general case. 



XXII. — Note as to two Events in the History of Steam 

 Navigation. By W. J. Macquorn Rankine, C.E., 

 LL.D, F.E.S., Hon. Mem. of the Literary and Phi- 

 losophical Society of Manchester. 



Eead April 7th, 1863. 



I. An interesting paper was lately read to this Society by 

 Mr. Dyer, containing a history of a series of important 

 events in the progress of steam navigation. 



2. It is to be regretted, however, that the author has 

 noted either very slightly, or not at all, what appears to 

 have been an event of paramount importance in the first 

 adaptation of the double-acting cranked steam-engine to 

 drive a paddle-wheel. Before that adaptation was made, 

 the success of all attempts at steam navigation, such as 

 those of Jouffroy, Bumsay, Fitch, Miller, Taylor, &c., 

 had been only temporary, because of the rudeness of the 

 machinery for communicating motion from the piston to 

 the shaft. 



3. That first adaptation was unquestionably accom- 



