172 



PROF. OSBOKNE REYNOLDS OX 



daries do not change their position they may be considered 

 as fixed. 



The figure (4) shows approximately the arrangement of 

 such stream. But for the mathematical difficulty of inte- 

 grating the equations of motion, the exact form of these 



streams might be drawn. We should then be able to 

 determine exactly the necks of each of these streams. 

 Without complete integration, however, the process may 

 be carried far enough to show that the lines bounding the 

 streams are continuous curves which have for asymptotes 

 on the discharging-vessel side lines radiating from the 

 middle of the orifice at equal angles, and^ further, that 

 these lines all curve round the nearest edge of the orifice, 



