MOVEMENTS OF ATMOSPHERE GULDBERG AND MOHN 247 



The asymptotes are represented by the equation 



y 



V 



1 ±^Jl +tang 2 «-(^y 



tang a — 



M 



(5) 



The trajectories of the motions of the air are determined by 



— = My and ^ = M x 

 dt dt 



and consequently 



x d x — y d y = 0. 

 By integration we shall have 



x 2 — y 2 = constant 



(6) 



We conclude therefore that the trajectories are equilateral hyper- 

 bolas. 



MAX 



FIG. 54 



