Updegraff — Flexure of Telescopes. 249 



*y=- p *x + q*y. (2) 



Integrating these equations we get 



y=K^ x ^~ lJ f K n e-^- l —^rX, (3) 



j i - q- 



y = K;e qx + K;e~ qx + K t x. (4) 



By inspection of the flexure curve we see that for x = 0, 

 y = ; and for x = l,~¥= 0, Z being the half length of the 

 tube. 



From (3) 



*=**>- -W--5-. <5) 



Putting x = I in (5), 



^e * - iqICe- * - |r = °- ( 6 ) 



Putting a: = in (3), 



R\ + K 2 = 0. (7) 



From (6) and (7) 



R, = 1 and E = 



Substituting these values in (3), 





