ON THE CALCULATION OP MATHEMATICAL TABLES. 





With cos 26=~~ =2^ as variable in the integral, 



2a2 



(13) 

 bnt 

 (14) 



:=«^=f7a^.r"'"'- 



|y(i..*-i)-'' 



obtained from the Weierstrass form by putting s=^z-. 



The lemniscate can be described by means of a three-bar linkage, 

 where the rotating links FG, F'G' in the figure are equal, and the 

 traversing link GG' and fixed link FF' are each \/2 times the length 

 of a rotating link. 



The mid-point P of the traversing link will then describe the 

 lemniscate curve. 



Fig. 1. 

 Lemniscate APO. 



OF = OF' = 25 mm. 

 OA = OA' = 35 mm. = FG = F'G'. 

 GG' = 50 mm. 



GP = PG' = 25 mm. 

 AOP = H0° = fl. 

 FAF' = FGF = 45°. 



