48 K. D. Kraevitch on an Approximate Law of the 

 Hence we find 



Hi)*- < ~* 1) « 



dp R — xT , v 



5=>» — TT-' (ft) 



§ = |i[>(* + l)T»-2(*+l)BT + B»]. . ( ft ) 



It is evident from equation (p) that the curve passes through 

 the origin of the coordinates, and from equation (j>{) that the 

 curve touches the axis of abscissae at this point. From 



d 2 p 

 equation (p 2 ) it follows that -~ becomes zero twice as T 



rises from zero, 

 when Tx = -( 1 , ), and when T 2 =— (l+ ). 



FromT = 0toT=T 1? 





2 >0. 



From T=T X to T = T 2 , 

 WhenT>T 2 , 



dt 2 < 



d 2 p 

 IF 



>0. 



■^ becomes zero when T= — , then 



consequently p then attains its maximum. Thus, starting 

 from the origin of the coordinates, the curve diverges from the 

 axis of abscissae and turns its convexity towards it. When 



T= — ( 1 , ) an inflexion takes place ; the curve turns 



x\ Vx+V 



its concavity towards the axis of abscissae ; p continuing to 



augment attains a maximum when T= — . Then p decreases; 



x 



a second inflexion occurs, and then the curve asymptotically 

 approaches the axis of abscissae. For the subject under con- 

 sideration the entire curve is not of importance, but only that 



