CATALOGUE OF TOLAR STABS. 



UG9 



Ai A 2 A 3 A 4 A 5 Ae A, A 8 A 9 A 10 A„ A 12 



+ * 



+ x 



+ x -12a; 



+ x -Ux 



+ x -10a; +QGx 



+ x — 9a; 4- 55a; 



+ x -Sx 4- 45a; -220x 



+ x -~x + 3Gx -165.c 



+ x -Gx 4- 28a; -120a; 4- 495a; 



+ x -5a? +21as -Six 4- 330a? 



+ x -4a; 4- 15a; -56a; +'lh\x -792a: 



+ x -3x 4- 10a; -35a; 4- 126a; -402a; 



JF(a + x) -2x + Gx -20a; 4- 70a; -252a; +924* (51) 



-x +3x -10a; + 35a; -126a; +462as 



4- a: -4a; + 15a; -50a; + 210a? -792« 



sb 4- 5a; -21a; 4- 84a; -330a; 



+ x -Gx 4- 28a? -120a! + 495* 



as 4- 7a; -30a; 4- 165a; 



+ x -Sx 4- 45a; -220« 



x 4- 9a; — bbx 



+ x -10* +6tos 



-a; +lla? 



+ a? -12s 



x 



+ x 



The total effect e of the error x in changing the values of the differential 



o — © 



coefficients will be expressed by the equation : 



1 r 1 . . . 1 . _„ . 1 , . 1 



e 



^[-^-S (+to) + w ( "* B) "w <+7<te) + 5S ( " SM * ) "-"-* a 'J 



1 r 1 ._. . 7 . _ 41 



;[+««- t (- 20 *> + 5S ( + 70iC > " t^o ( " 252 "' ) + • • * * c - 



2.3.4 w* L 6 '240 



1 r 1 _. . 13 



|~- 20 a; - - (+ 70 a;) 4- — (- 252a;) - ... <fce.l (52) 



L 4 v 240 J 



2.3.4.5.6 w 6 L 4 240 



1 r _. 1 



2.3.4.5.6.7.8 w s L 3 



4- 70a; (- 252a;) + . . . &c.J 



[-252 a;- . . . &c] 



2.3.4.5.6.7.8.9.10 e* 10 



1 



<7TT77T^ T+ 924 a; + . . . <fcc.l 



2.3.4.5.6.7.8.9.10.11.12 w 12 I -1 



