20 



Art. 3.— K. Hirayama: 



we have by (14) 



x^=G—ßp2ycosd 



(27) 



\ dd , , A 



j- = s' X + 4:p^ COB 



Hq dt 



The curve A becomes a straight Ime in this case. The condi- 

 tion of the contact of A and ^o or B^ is 



s' 

 and the relation between C and E becomes simply 



S 



There is no contact of the second order. The condition that A and 

 Bq or Bi may touch each other on the axis of x is 



C=^p,^ = C, 



7;t . 16 



25. The limits of C and JE for different types of the motion 

 are as follows : — 



