860 
ME. HODGEUs-SON’S EXPEEDIEXTAL EESEAECHES 
Table I. — Powers of Diameters, or tZ®'®. 
1.03-5 == 1-0000 
3.73-5 = 97.433 
5-73'5 = 442-14 
7.73-5 =1266-83 
1.253-5= 2-1837 
3.753-5=102-12 
5-753-5= 455-87 
7-753-5=1295-85 
1-53-5 4-1335 
3-83-5 =106-965 
5-83-5 = 469-89 
7-83-5 =1325-35 
1-753-5= 7-0898 
3.93-5 =117-15 
5.93-5 = 498-86 
7-93-5 =1385-78 
2-03-5 =11-314 
4-03-5 =128-00 
6-03-5 = 529-09 
8-03-5 =1448-15 
2-13-5 =13-4205 
4-13-5 =139.55 
6-13-5 = 560-60 
8-253'5=l6l2-83 
2-23-5 =15-7935 
4-23-5 =151-835 
6-23-5 = 593-43 
8-53-5 —1730-47 
2-253-5=17-086 
4-253-5=158-26 
6-253-5= 610-35 
8.753-5= 1981-66 
2-33-5 =18-452 
4-335 =164-87 
6-33-5 627-61 
9-03-5 =2187-00 
2-435 =21-416 
4-43-5 =178-68 
6-43-5 = 663-18 
9-253-3=2407-11 
2-53-5 =24-705 
4-53-5 =193-305 
6-535 = 700-16 
9-53-5 =2642-61 
2-63-5 =28-340 
4-63-5 =208-76 
6-63-5 = 738-59 
9-753-5=2894-12 
2-73-5 =32-3425 
4.73-5 =225-08 
6-73-5 = 778-51 
10-03-5 =3162-28 i 
2-753-5=34-488 
4-753-5=233-58 
6-753-5= 799-03 
10-253-3=3447-73 ' 
2-83-5 =36-733 
4-83-5 =242-295 
6-83-5 = 819*94 
10-53-5 =3751-13 
2-935 =41-533 
4-935 =260-43 
6-93-5 = 862-92 
10-753-5=4073-14 
3-03-5 =46-765 
5-03-5 =279-51 
7-03-5 = 907.49 
11-03-5 =4414-43 
3-13-5 =52-4525 
5-13-5 =299-57 
7-13-5 = 953-68 
11-253-5=4775-66 
3-23-5 =58-617 
5-23-5 =320-635 
7-23-5 =1001-53 
11-53-5 =5157-54 
3-253-5=61-886 
5-253-5=331-56 
7-253-5=1026-08 
11-753-5=5560-74 
3-33-5 =65-283 
5-33-5 =342-74 
7-33-5 =1051-07 
12-03-3 =5985-96 
3-43-5 =72-473 
5-43-5 =365-91 
7-435 =1102-33 
3-53-5 =80-212 
5-53-5 =390-18 
7-53-5 =1155-35 
3-63-5 =88-5235 
5-63-5 =415-58 
7-63-5 =1210-17 
Table II. — Powers of Lengths, or 
11-63 = 1. 
6n-63= 19.8282 
121-63= 57-4203 
191-63=121-442 
21-63 = 3-0951 
71-63 =23-8512 
13’-63= 65-4226 
201-63=132-032 
2X1-63= 4-4529 
711-63=26-6901 
141-63= 73-8225 
211-63=142-961 
31-63 5.9939 
81-63 =29-6508 
151-63= 82-6093 
221-63=154-223 
41-63 = 9-5798 
91-63 =35.9265 
161-63= 91-7731 
231-63=165-812 
5'-63 =13-7823 
101-63 =42-6580 
171-63=101-305 
241-63=177-723 , 
61-63 =18-5518 
111-63 =4,9-8276 
181-63=111-197 
Further Remarks on the Experiments on the Strength of Pillars (Tables I. and II.). 
If the strength of a pillar be represented by W=:mx — -jp — , where D, d are the 
external and internal diameters in inches, I the length in feet, m, n, p constant quan- 
tities, the following experiments (1st Summary) \^ill furnish us with the value of 
