tract 34,

GUNNERY EXPERIMENTS.

69

Powder

2

4

6

8

Gun c° 1

N° 2

Ratio. Veloc. Dif. 1. 11.780 320

1410 1100 80

1-731 1340 150

1-850 1430 90

Ratio. Veloc, Dif. 1.11.835 345

1-414 1180 80

1-730 1 445 130

1-893 1580 135

Powder

Gun n° 3

N°4

2

920 380

9 Z° 400

4

1413 1300 O90 90

1-412 1370 310 90

6

1-729 1590 90

1,732 280 50

8

1-945 1790

2000 1 940

where the velocity is set in large characters in the middlecolumn ; and on the left hand, in a small character, is theratio, which is found by dividing each velocity by the first,the law of which ratios has been mentioned above; also onthe right hand are the columns of first and second differ-ences ; the first being the difference between each two suc-ceeding numbers, and the second the differences of thosedifferences.

Or, for some purposes, it may be more convenient tojrange the velocities, 8tc, as here below :

Gun n°

2 oz

4 oz

1

2

3

4

55

835 g5

920 50

970

1-410 lio'o 801-414 1180 12Q1-413 1300

1-412 1370

Gun u°

6 oz

S oz

1

1 *731 1340

1-850 1 430 1S0

2

3

4

1-730 1 445

1-729 1590

1-732 1680

1-893 1580

1,945 ISo *>

2000 1940

where the numbers are here placed in horizontal lines,which before were vertical ; and vertical here, those whichbefore were horizontal: and where the law, both of theratios and differences, is evident. We also hence perceivehow, for each charge, the velocity of the ball is continu-ally increased as the gun is longer.