of Bodies moving in Fluids . 3 
gives the resistance by theory, assuming the perpendicular re- 
sistance to be the same as by experiment ; the fourth column 
shows the power of the sine of the angle to which the resistance 
is proportional. 
2 
Angle. 
Experiment. 
Theory. 
Power. 
• 0 & 
10° 
A 
0,0112 
0,0012 
L73 
'0 df 20 
0,0364 
0,0093 
1 >73 
3° 
0,0769 
0,0290 
L54 •' ;/ 7 ' 
40 
0,1174 
0,06l6 
i>54, 
,50 
60. 
0,1552 
0,1902 
0,1043 
0,1476 
1,51 v/;.;. 
1.38 
• . 70 
0,2125 
0,1926 
1,42. 
80 
f) A 
0,2237 
0,2217 
2,41- 
; .90 
0,2321 
0,2321 
• ' $ ' 
The fourth column was thus computed : Let s be the sine 
of the angle to radius unity, r the resistance at that angle, and 
suppose r to vary as s m ; then i m : s m : : 0,2321 : r, hence, s’" 
= and consequently m = 0,2321 ; and, by sub- 
stituting for r and s their several corresponding values, we get 
the respective values of m t which are the numbers in the fourth 
column. Now the theory supposes the resistance to vary as the 
cube of the sine; whereas, the resistance decreases from an 
angle of 90°, in a less ratio than that, but not as any constant 
power of the sine, nor as any function of the sine and cosine, 
that I have yet discovered. Hence, the actual resistance is al- 
ways greater than that which is deduced from theory, assuming 
the perpendicular resistance to be the same; the reason of 
which, in part at least, is, that in our theory we neglect the 
B 2 
