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4.456
2.506

26736
222800
8912
11.166736(3-341

$)60
9
63)216
189

2.506
664)2767

4.456 26 56

3.341 6681)11136

10.303 6681

20 Anf. 206.060 ale galt. 4455

20

As 18.94

The same by the slide.
D

D C

I:: 30 : 2.506 lefser area. As 18.94 :

40 : 4.456 greater ar. As 2.506 : 2.506 :: 4.456 : 3.341 mean pro

portional. 10.303

20

Ale gallons 206.060

EXAMPLE 10th. Suppose the dimensions of a tun or cistern in form of the frustum of a pyramid, as follows ; the length of the greater base 96 inches, and its breadth 65.3; the length of the leffer base 75.8, and its breadth 42.7 inches ; and the depth 40.35 inches; what's the content in malt bushels ?

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See the remainder of the work in the next page.

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6.514

+40.35
13.45

13.45
32570
26056

2.915
19542

1.505 6514

2.694 Answer 87.6130 bushels.

6.514
The fame by the Slide.
D с

D C As 46.36 : 65.3 :: 96 : 2.915 greater area. As 46.35 : 75.8 :: 42.7: 1:505 leffer area: As 2.915: 2.915 :: 1.505 : 2.094 mean. This sum multiply'd by ? of the depth gives the 6.514 content as before.

Note.

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Note. If you wou'd gage a globe, or oval folid, or the segment or fruftum of a globe, &c. you may work as in menfurätion; they being of little use in practical gaging.

A praétical rule for finding the content of any

corical tún, copper, by-tub, or cask. Take the diameter somewhat above the middle, if it be broader at top than at bottom, or on the contrary, fomewhat next to the broadest end; and thus it is reduc'd to a cylinder : Then multiply the square of the diameter by the depth, and divide by the circular divisors, &c.

The following is the practical met hod of inching,

gaging, and fixing any tun, copper, &c. in order

for the ready casting up of each gage. Whether the fides are straight or not from top to bottom, you are to take your several areas as follows; that is, the area to each diameter taken in the middle of every 10 inches from the bottom upwards; thus, the first diameter at 5 inches from the bottom, the second at 15 inches, &c. and each of these areas serve for 10 inches one above the other : A specimen of which is in

the next page.

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25

5 18.0

134.80

Depths Contents ||Depths Contents

13.6 23 97.42
2 7.2

24 102.76
Depth 43.5| Areas

3
10.8

108.10
4 144

26

113.44
41.4477

27 118.78
438 5.34
6121.6

124.12

40.6 4.54

725.2

29

129.46

36.0 3.60

828,8 30
9 32 4 31 139.57

10 36.0

32

144.34

See the content

11140.54 || 33 149. TI

upon every inch of

1245.08 | 34 153.88
the depth, (as fix-

35 158.65
ed in the dimen-

141 54.16 36

163.42

fion books of ex-

IS 58.70 37

cife.)

16163.24 | 38 172.96
Gall.

37167.7839 177.73

Whole

40

41

content

2081.4042 192.04

21 86.74 43

196.81

22192.08 || 43.5.1199. 1951

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