Equations occurring in Wireless Telegraphy. 211 



In order to solve equation (1) we shall, as before, put 



t= W and shall write p in place of Vi. Equation (1) then 

 m 



becomes 



dco* m dco 1 m 2Y \m)' K J 



We shall, as in the former case, regard p as the perpen- 

 dicular distance from a fixed point on a tangent to a curve, 

 and co as the angle which the perpendicular makes with a 

 fixed line in the plane of the curve. 

 Then 



ds _ d 2 p 



d<D~ P+ dc?> 



where s is the length of the curve measured from a fixed 

 point in it. 



Equation (2) thus becomes 



*_ W») + /to* . 



do) m" \m/ m dco 



which on integration gives 



£$*&*+ kfa*p=°>- 



(3) 



where C is some constant. 



We now take a piece of transparent squared paper and, 

 taking rectangular axes OX and OY, we plot on it in 

 Cartesian coordinates the curve 



*+^Jy<»^c (4) 



Let DE be the curve thus drawn. We next take a plain 

 sheet of paper fastened to a drawing-board and mark a point 

 P on it with a dot. 



Having selected a particular direction on the plain sheet 

 of paper with respect to which the angle co is to be measured, 

 and taking P as pole, we plot upon it in polar coordinates 

 the curve 



m z J T \mJ 



dco (5) 



The constant of integration may be given any value we 

 please, but it is convenient to give such a value as may 

 render the curve as simple as possible. 



P2 



