CATALOGUE OF POI.AK STAHS. 



We shall have by Taylor's Theorem : 



For Three Equidistant Values of tr 



T . d'a d'*a _ <P*a 



If JI = X > dt>=* and ,,?=*> 



Whence 



If 



Whence 



1 . 1 . 



2*6 



?c a; + ter 1/ + — %tr z 



J 3 2 



3 . 3 , c 



ic x + — w z v -\ ?r 8 2 = — 



2 2 8 



w L 2 3 J 



y = - - [4 J - 5 a - c] 



z = -[3a-3Hc] 

 w 8 



J^or T^cwr Equidistant Values of w 



d'a d'*a d n a d'*a 



«» TX = *» 



tf* ' tf« 3 ' dt* *' dt 



y, -j— = 2, we have 



wH w 2 x -\ vfy-\ urz = a 



2 6 24 



2 , 1 , ft 



w w + to 3 a? H w 3 y -\ «j* 2 = — 



3*3 2 



3 o 3 , 9 4 c 



w v + — ic 1 x + — vr u + — «?* z = — 



2 2*8 3 



8 . 8 4 d 



wv + 2vrx -i vr y + — to* z = — - 



3 3 4 



1 r 4 1 ,- 



v = — 4a - 36 4- — c- —d 



1 nil _ 19. 14 26 



cb= — — d + — b c — — 



3 Ll2 2 3 3 



ic 



y 



- ("9a- 12 b + 7c a* 



tc 



1 



« L 2 



z = — Tc?-4c + 6ft-4al 



2! I 



(59) 



(60) 



(Gl) 



(62) 



