( 524 ) 

 The initial direction is given by qr = q^ (45'). Further for'?, = 47\ 



The curve will also yield ^i = for q^ = 0, for which e '^ = 1. 



is evidently also q^^^iT^, and for q^ — ^j t^ ' becoming == x , 



7j will again be 47"^. The curve I wilK therefore run pretty rapidly 



osywtotkaUtj to the straight line g^ — 4T^ for higher values of q^, 



and will show a maximum somewhere past 7, = 47\. [M^ in tig. 3). 



fdq, \ 

 This maximum is represented by -— = -. 



a+/")-..-4r,l(l-l)/- = o, 



as ^, = — 1 ), according: to (6). We have then: 



(1 + ^''l - " {q. - 4?\) = 0. 



or ^, -.-'^=l+47\^, 



or(/?=:2^ ^, -.-''^zr=2^-l . . . . . . . (8a) 



From this wc may find <9, by approximation, so also q.^, and q^ 



q^ % 



is found from (8^). As q, — 4T, = — (1 + e '), we have: 



^» 



c^, fy^ \ q., 



hence 7: = %, - ^T, - 2 ^ , 



or ?. = 2^,-4-^ (86) 



Now fig.3 holds for T, = \', T,, so iSa) becomes: 



yielding 6>, = 3,05. Consequently q, = 2 dj, = 6,10 T^ . Further 

 according to {%h) q, = %[, — ST, = 4,20r, . 



Of the curve I (comp. 8/) I have determined the following points 



q. 



with T, = '/,T„ so that <9, 



2T, 



