292 
MR. LUBBOCK’S RESEARCHES 
R,= - 
16 a;- 3,4 
3 
a 2 
/ 3a 
16 
a; 
14 a; 
9 
a 
/ 3a 
32 
l4a; 
3 a 
7 3.9 a 2 , , 3 . 3 a 3 , 
3,6 2.4.4a; 5,3 + 2 . 4 a* 5,4 
3 a 2 (2a 2 — 3a, 2 ) , 3 a 3 , 3 a 2 
27TT2 37 - --- - **■" - ' 
5,5 2.4 a y 4 5,6 2.4.4 a , 3 
^7 
3 .5 
changing 6 3 into — -j b 5 , and b h into — g- b l7 we have 
3a j ,3 a 2 t , 9 a t , 3.9.5 a 2 A 3.3.5 
64V- 5,4 + 32V 5 ’ 5 + 64 V 5)6 + 2 .4.4 .6 V 7,3 
2.4.6 
,3.5a 2 (2 a 2 — 3 a, 2 ) , ,3.5a 3 , , 3.5 a* 
+ 2 TT 72 — “ — — ^ 6 7,6 + o „ >, k n 
2.4.6a; 7,0 2.4.4.6a ( 3 
_ 3 a 7 ,3 a 2 , 9 a, 3.5 a 2 fa 2 -fa;, a, 
~ 64 V 5,4 + 32 V 65 ’ 5 + 64 V 5,6 + 876 V l a / 2 7,5 a^ 7,4 
,3.9.5 a 2 /, , 1 3.5 a 3 /, 7 1 3.5 a 2 
+ 87476 V l * 7 * 3 “ M “ 476 V I 7 > 4 “ ^ / 37^ v 
and since b bti = ^ 1 ±A 2 b 7ib - 7. j 7i4 - - 6 7 , 6 
tty tty tty 
4J¥ = I7{ J7 ' 3 " 57 ' 5 } 5is ’ 5 = 7 7{ i7 ' 4 " A7 ' 6 } 
6 b 
_ 3a, 3 a 2 ; 9a, 15a 2 , ,27 a . 15a 2 , 
~ 64 a ( 2 5,4 + 32 V 5,5 + 64 V 65,6 + 48 V 65,5 + 24 a; 5 ’ 4 12 a ; 6 
/ 5 a 7 27 a- 7 3a, 
= 67 V ° 5 ’ 4 " 32 V 6i * 5 “ 64 V &5 * 6 
77 a , a 2 7 3 a A 3 . 9 a 2 ^ , 3 . 3 a 3 A 
34 “ 16V 3 ’ 3 ~ 8 V 3,4 ~ 16V 3 ’ 6 2.4.4a; 5>2 + 2.4a; 5,3 
3 a- (2 a 2 - 3 a ( 2 ) , 3 a 3 , 
. : 0 A _ 0 1 
2.4.2a; 
2.4a; 
3 a- 
2.4.4 a , 3 
' 5,6 
Similar changes and reductions give 
