APPENDIX.

No. 1.

FORMULA SHOWING THE RELATION BETWEEN THE PRESSURE ON THE PISTON, AS OBSERVED BY THE INDICATOR, AND THE EQUIVALENT PRESSURE AT THE CRANK PIN.

Let P, be the pressure on each square inch of piston.

P1, the equivalent pressure at the crank pin.

r, the radius of the crank circle.

7, the length of the connecting rod.

6, the angle which the crank arm makes with the horizontal. Then, while the crank pin has moved through re, the piston has moved:

r — r cos. 0 = ( 1 − √√ 12 – r2 sin. 20 ) {

for the forward
for the backward

stroke.

Now, let the angle @ be increased by the infinitely small increment 80; then while the crank pin moves through rd 0, the piston will move through the differential of :