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 11*26 2 ' 04 to 12 2 ' 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 31f of this triangle, to32 the surface of the former plane, that is, in the ratio of43 to 44, or 1 to 1~, which increased numbers are set in thenext or 5th column. Then—
Angles
with
diree.
Actu-
ating
wts.
Diffs.
of
ditto
Ditto for
12 feetvelocity
Ditto for32 inchesarea
Resist.
reduced
Ratiosto theJast
Sinesof theangles
0°
oz
10
OZ
o-o
oz
0-0
oz
0*0
oz
*000
•000
•ooo
5
10-7
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
S’9
40
•077
•091
•259
20
15-8
5'8
6*6
6-8
•132
•156
•342
25
19*0
9*0
10*3
10-5
•204
•241
•423
SO
23*0
130
14-8
15*1
•294
•347
•500
35
27-3
17*3
19-7
20T
•390
•461
•574
40
31-6
21*6
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
4IM
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
40'3
■783
•925
•906
70
45*7
35-7
40*8
4L8
•809
•956
•940
75
46*4
36*4
41*6
426
•827
•977
•966
80
4 6'9
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
T000
1-000
'
2
3
4
5
6
7
8
these are divided by 5T51, 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 are placed in the 7th column; having the correspond-