4104 Doolittle on the Steam Engine. 
62:66::125:22%125— 133, 
india figure 3. the force being applied at a lever much shori- 
er than that to which it is to be reduced, its effect at the 
extremity of the longer lever must be found by inverse pro- 
p—thus— 
portion— 
66:62::11 72X11 —=10!say—=11. 
Making similar constructions in the other points of divis- 
ion, and reducing the respective forces to the same length 
of lever, we have’ the following series.— 
Forces at the points of application. | _ Forces reduced to an equal lever. 
Y 62 - - - - 133 
REAR APA ARES RET URES iy 
124 - - - - 135 
172 - mi io i - 52. 
158 - - - - 32 
176 - - - - 22 
62 - - - 11 
0 . 3 - 
Dividing the sum by 8,the number of terms - 8 | 642 
We have, for the mean force utilized —- - 68 for 200 applied. 
er this caleulation, as in all which precede, to avoid 
actions, where there were any, I have uniformly added an 
unit in, their stead, in. nee? to give the machine “a fair 
chance. 
The mean: force G&:is applied tangentially to the reduced 
circle, whose semi circumference is=207—the force that 1 
have supposed applied is 200, and the stroke of the piston 
is 13]. ‘Therefore force applied is ‘to force utilized ::200 
131: 768 x 207 ob as: 28 14, nearly ; then ai 
::100: 54 
In the common orth the force applied is to the force 
utilized ::100:78, nearly.. Therefore the effect of the new 
pte erm is to the — of the ee wih, - ap- 
weight, and multiply that weight sre the distance gone 
through to find the quantity of force employed in giving 
jail tceniiainan 
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