206
experiments with
TRACT 36 ,
weights, which remainders denote the resistances without thefriction and resistance on the arm, for a velocity of 1T26feet. Then these are raised in the ratio of 1T26 104 to 12*' 04 ,or 7 to 8 nearly, for the resistances to 12 feet velocity, whichare placed in the 4th column. These last numbers are againincreased in the ratio of the surface 31£ of this triangle, to32 the surface of the former plane, that is, in the ratio of43 to 44, or 1 to l T j, which increased numbers are set in thenext or 5th column. Then—
Angles
with
direc.
Actu-
ating
wts.
Diffs.
of
ditto
Ditto for12 feetvelocity
Ditto for32 inches
area
Resist.
reduced
Ratiosto thelost
Sinesof theangles
0 °
oz
10
07.
0*0
OZ
0*0
07
0*0
oz
*000
•ooo
•ooo
5
I0‘7
0-7
0-8
0-8
•015
■018
•087
10
11-8
1-8
2-0
2-0
•039
•046
•174
15
13-4
3-4
3-9
40
•077
•091
•259
20
L5-8
5-8
6-6
6-8
•132
•156
•342
25
19-0
9-0
10-3
10-5
•204
•241
•423
30
23*0
13 0
14-8
15-1
•294
•347
•500
35
27-3
17-3
19-7
20-1
•390
•461
'574
40
31-6
2f6
24-7
25-2
•490
•579
•643
45
35-4
25 - 1 -
29 0
29-7
•577
•682
•707
50
38-6
28-6
327
33-5
•650
•768
•766
55
41-1
3M
35-5
36 3
•705
•833
•819
60
43-0
33'0
37-7
38-6
•750
•886
•866
65
44-5
34-5
39-4
403
•783
•925
•906
70
45-7
35-7
40-8
41-8
•809
•956
•940
75
46-4
36-4
41-6
42 6
•827
•977
•966
80
46-9
36-9
42-1
43-1
•837
■989
, -985
85
47-2
37-2
42-5
43-5
•845
•998
•996
90
47'3
37-3
42-6
43-6
•846
1 -ooo
1-000
1
2
3
4
5
6
7
8
these are divided by 51-51, to reduce the weights from thebarrel to the extremity of the arm, and the quotients are thetrue measures of the resistances, which are placed in thenext column 6-—Lastly, each of these being divided by thegreatest, 846, give their proportions in numbers easily to becompared with the sines of the angles: and these propor-tionals arc placed in the 7th column; having the correspond-