THE EXCISE-MAN'S AID, BEING A TABLE Calculated for the Use of COUNTRY GAUGERS.
THE Use of the following Table is so plain, that it will want little Explanation, instead of which take the following Examples.
It is requisite, that every Officer have always in readiness a small Line of Silk, with a Plummet, and a Rule.
Let this Plummet down to the Chine of the Vessel, and with your Rule take the distance from the Thred to the side of the Tun (if it be the Frustum of a Cone, as most of them are;) take that Distance for your mean Diameter, then take the Depth of Liquor, with these enter the Table, and against the Diameter, in the Column under the Depth, you have the Content in Gallons and Pints.
Look in the Table, under the Title Diameter, for 23, and against it in the Column under 9 you find 19 5, which [...] Nineteen Gallons and Five Pints, the Quantity of Liquor then in the Tun.
A Table of the Content of Cylinders in Ale Gallons and Pints, from One to Five Foot of Diameter, and from One to Ten Inches in Depth.
DIAM. | DEPTH. | |||||||||||||||||||
G. P. | G. P. | G. P. | G. P. | G. P. | G. P. | G. P. | G. P. | G. P. | G. P. | |||||||||||
12 | 0 | 3 | 0 | 6 | 1 | 1 | 1 | 4 | 2 | 0 | 2 | 3 | 2 | 6 | 3 | 2 | 3 | 5 | 4 | 0 |
13 | 0 | 4 | 1 | 0 | 1 | 4 | 2 | 0 | 2 | 3 | 2 | 7 | 3 | 2 | 3 | 6 | 4 | 2 | 4 | 5 |
14 | 0 | 41/2 | 1 | 1 | 1 | 5 | 2 | 2 | 2 | 6 | 3 | 2 | 3 | 7 | 4 | 4 | 5 | 0 | 5 | 4 |
15 | 0 | 5 | 1 | 2 | 1 | 7 | 2 | 4 | 3 | 1 | 3 | 6 | 4 | 4 | 5 | 0 | 5 | 5 | 6 | 3 |
16 | 0 | 51/2 | 1 | 3 | 2 | 1 | 2 | 7 | 3 | 4 | 4 | 2 | 5 | 0 | 5 | 6 | 6 | 3 | 7 | 1 |
17 | 0 | 6 | 1 | 5 | 2 | 3 | 3 | 2 | 4 | 0 | 4 | 6 | 5 | 5 | 6 | 3 | 7 | 2 | 8 | 0 |
18 | 0 | 7 | 1 | 6 | 2 | 6 | 3 | 5 | 4 | 4 | 5 | 3 | 6 | 2 | 7 | 2 | 8 | 1 | 9 | 0 |
19 | 1 | 0 | 2 | 0 | 3 | 0 | 4 | 0 | 5 | 0 | 6 | 0 | 7 | 0 | 8 | 0 | 9 | 0 | 10 | 0 |
20 | 1 | 1 | 2 | 2 | 3 | 3 | 4 | 4 | 5 | 4 | 6 | 5 | 7 | 6 | 8 | 7 | 10 | 0 | 11 | 1 |
21 | 1 | 2 | 2 | 4 | 3 | 5 | 5 | 0 | 6 | 1 | 7 | 3 | 8 | 5 | 9 | 7 | 11 | 0 | 12 | 2 |
22 | 1 | 3 | 2 | 6 | 4 | 0 | 5 | 3 | 6 | 6 | 8 | 1 | 9 | 4 | 10 | 6 | 12 | 1 | 13 | 4 |
23 | 1 | 4 | 3 | 0 | 4 | 3 | 5 | 7 | 7 | 3 | 8 | 6 | 10 | 2 | 11 | 6 | 13 | 2 | 14 | 6 |
24 | 1 | 5 | 3 | 2 | 4 | 6 | 6 | 3 | 8 | 0 | 9 | 5 | 11 | 2 | 12 | 6 | 14 | 3 | 16 | 0 |
25 | 1 | 6 | 3 | 4 | 5 | 2 | 7 | 0 | 8 | 6 | 10 | 3 | 12 | 1 | 13 | 7 | 15 | 5 | 17 | 3 |
26 | 1 | 7 | 3 | 6 | 5 | 5 | 7 | 4 | 9 | 3 | 11 | 2 | 13 | 1 | 15 | 0 | 16 | 7 | 18 | 6 |
27 | 2 | 0 | 4 | 0 | 6 | 0 | 8 | 1 | 10 | 1 | 12 | 1 | 14 | 2 | 16 | 2 | 18 | 2 | 20 | 0 |
28 | 2 | 1 | 4 | 3 | 6 | 4 | 8 | 6 | 10 | 7 | 13 | 0 | 15 | 2 | 17 | 3 | 19 | 5 | 21 | 6 |
29 | 2 | 3 | 4 | 5 | 7 | 0 | 9 | 3 | 11 | 6 | 14 | 0 | 16 | 3 | 18 | 6 | 21 | 0 | 23 | 3 |
30 | 2 | 4 | 5 | 0 | 7 | 4 | 10 | 0 | 12 | 4 | 15 | 0 | 17 | 4 | 20 | 0 | 22 | 4 | 25 | 1 |
31 | 2 | 6 | 5 | 3 | 8 | 0 | 10 | 6 | 13 | 3 | 16 | 0 | 18 | 6 | 21 | 3 | 24 | 1 | 26 | 6 |
32 | 2 | 7 | 5 | 6 | 8 | 4 | 11 | 3 | 14 | 2 | 17 | 1 | 20 | 0 | 22 | 6 | 25 | 5 | 28 | 4 |
33 | 3 | 0 | 6 | 0 | 9 | 0 | 12 | 1 | 15 | 1 | 18 | 1 | 21 | 2 | 24 | 2 | 27 | 2 | 30 | 2 |
34 | 3 | 2 | 6 | 3 | 9 | 5 | 12 | 7 | 16 | 1 | 19 | 2 | 22 | 4 | 25 | 6 | 29 | 0 | 32 | 2 |
35 | 3 | 3 | 6 | 7 | 10 | 2 | 13 | 5 | 17 | 0 | 20 | 4 | 23 | 7 | 27 | 2 | 30 | 6 | 34 | 1 |
[Page 3]36 | 3 | 5 | 7 | 2 | 10 | 7 | 14 | 3 | 18 | 0 | 21 | 5 | 25 | 2 | 28 | 7 | 32 | 4 | 36 | 1 |
37 | 3 | 6 | 7 | 5 | 11 | 3 | 15 | 2 | 19 | 0 | 22 | 7 | 26 | 5 | 30 | 4 | 34 | 2 | 38 | 1 |
38 | 4 | 0 | 8 | 0 | 12 | 0 | 16 | 0 | 20 | 1 | 24 | 1 | 28 | 1 | 32 | 1 | 36 | 1 | 40 | 2 |
39 | 4 | 2 | 8 | 4 | 12 | 6 | 17 | 0 | 21 | 2 | 25 | 3 | 29 | 5 | 33 | 7 | 38 | 1 | 42 | 3 |
40 | 4 | 4 | 8 | 7 | 13 | 3 | 17 | 7 | 22 | 2 | 26 | 6 | 31 | 2 | 35 | 5 | 40 | 1 | 44 | 4 |
41 | 4 | 5 | 9 | 3 | 14 | 0 | 18 | 6 | 23 | 3 | 28 | 0 | 32 | 6 | 37 | 3 | 42 | 1 | 46 | 6 |
42 | 4 | 7 | 9 | 7 | 14 | 6 | 19 | 5 | 24 | 4 | 29 | 4 | 34 | 3 | 39 | 2 | 44 | 1 | 49 | 1 |
43 | 5 | 1 | 10 | 2 | 15 | 4 | 20 | 5 | 25 | 6 | 30 | 7 | 36 | 0 | 41 | 2 | 46 | 3 | 51 | 4 |
44 | 5 | 3 | 10 | 6 | 16 | 1 | 21 | 4 | 27 | 0 | 31 | 3 | 37 | 6 | 43 | 1 | 48 | 4 | 53 | 7 |
45 | 5 | 5 | 11 | 2 | 16 | 7 | 22 | 4 | 28 | 2 | 33 | 7 | 39 | 4 | 45 | 1 | 50 | 6 | 56 | 3 |
46 | 5 | 7 | 11 | 6 | 17 | 5 | 23 | 4 | 29 | 4 | 35 | 3 | 41 | 2 | [...] | 1 | 53 | 0 | 58 | 7 |
47 | 6 | 1 | 12 | 2 | 18 | 4 | 24 | 5 | 30 | 6 | 36 | 7 | 43 | 0 | 49 | 2 | 55 | 2 | 61 | 4 |
48 | 6 | 3 | 12 | 7 | 19 | 2 | 25 | 5 | 32 | 1 | 38 | 4 | 45 | 0 | 51 | 3 | 57 | 6 | 64 | 1 |
49 | 6 | 6 | 13 | 3 | 20 | 0 | 26 | 6 | 33 | 4 | 40 | 1 | 46 | 7 | 53 | 4 | 60 | 2 | 66 | 7 |
50 | 7 | 0 | 13 | 7 | 20 | 7 | 27 | 7 | 34 | 6 | 41 | 1 | 48 | 6 | 55 | 5 | 62 | 5 | 69 | 5 |
51 | 7 | 2 | 14 | 4 | 21 | 6 | 29 | 0 | 36 | 2 | 43 | 3 | 50 | 5 | 57 | 7 | 65 | 1 | 72 | 3 |
52 | 7 | 4 | 15 | 0 | 22 | 5 | 30 | 1 | 37 | 5 | 45 | 1 | 52 | 6 | 60 | 2 | 67 | 6 | 75 | 2 |
53 | 7 | 7 | 15 | 5 | 23 | 4 | 31 | 2 | 39 | 1 | 46 | 7 | 54 | 6 | 62 | 4 | 70 | 3 | 78 | 2 |
54 | 8 | 1 | 16 | 2 | 24 | 3 | 32 | 4 | 40 | 5 | 48 | 6 | 56 | 7 | 65 | 0 | 73 | 0 | 81 | 2 |
55 | 8 | 3 | 16 | 7 | 25 | 2 | 33 | 5 | 42 | 1 | [...] | 4 | 58 | 7 | 67 | 3 | 75 | 6 | 84 | 2 |
56 | 8 | 6 | 17 | 4 | 26 | 2 | 34 | 7 | 43 | 5 | 52 | 3 | 61 | 1 | 69 | 7 | 78 | 4 | 87 | 2 |
57 | 9 | 0 | 18 | 1 | 27 | 1 | 36 | 2 | 45 | 2 | 54 | 2 | 63 | 3 | 72 | 3 | 81 | 4 | 90 | 4 |
58 | 9 | 3 | 18 | 6 | 28 | 1 | 37 | 4 | 46 | 2 | 56 | 2 | 65 | 4 | 75 | 0 | 84 | 2 | 93 | 6 |
59 | 9 | 5 | 19 | 3 | 29 | 0 | 38 | 6 | 48 | 4 | 58 | 1 | 67 | 7 | 77 | 4 | 87 | 2 | 96 | 7 |
60 | 10 | 0 | 20 | 0 | 30 | 0 | 40 | 1 | 50 | 1 | 60 | 1 | 70 | 2 | 80 | 2 | 90 | 2 | 100 | 2 |
To Gauge a Cask by the Table.
Take double the Diameter at the Bung, and once the Diameter at the Head, add these together, and divide the Sum by 3, the Quote take for your mean Diameter; then consider what Depths in the Table will compleat your Casks Length, take those Gallons, add them together, and the Sum will be the Content of the Cask.
So is the Content of the Cask found to be 54 Gallons and 3 Pints
To Gauge a Square Back or an Oblong.
Multiply the Length by the Breadth, and divide by 282, the Quote will be the Gallons contained in one Inch of Depth in that Back.
So doth this Back contain 25 Gallons and 4 Pints upon Inch of Depth.
To find the Area of a Triangle in Ale Gallons.
Multiply the Base of the Triangle by half the Perpendicular, and divide the Product by 282.
So doth this Tun contain 15 Gallons and 3 Pints upon one Inch of Depth.
To Gauge a Back in any other form, consisting of Right Lines.
Divide it into Triangles, adding the Area's of them into one Sum, which will be the Area of that Figure.
So doth this Back contain 26 Gallons and 6 Pints upon one Inch.