This section is from the book "The English And American Mechanic", by B. Frank Van Cleve. Also available from Amazon: The English And American Mechanic.
Divide the depth of the liquid, or wet inches, by the length of the cask; then, if the quotient is less than -5, deduct from the quotient one-tenth of what it is less than .5, and multiply the remainder by the whole capacity of the cask; this product will be the number of gallons. But if the quotient exceeds -5, add one-tenth of that excess to the quotient, and multiply the sum by the whole capacity of the cask; this product will be the ullage, or contents in U. S. standard gallons.
Suppose a cask, 40 inches in length, and the capacity 118-80 gallons, as above: required the ullage of 21 wet inches.
40) 21.000 (.525 - .6 = .025 /10 = .0025 + .526 = .5275 X 118.80 = 62.667 U. S. gallons.
Formerly the British Wine and Ale gallon measures were similar to those now used in the United States and British Colonies.
The following Tables exhibit the comparative value between the United States and the present British measures.
U. S. measure for wine, spirits, etc. | British (Im.) measure. | ||||||
galls, | qts. | pts. g | ills. | ||||
42 galls. | = | 1 tierce, | = | 34 | 3 | 1 | 3 |
63 " | = | 1 hogsh. | = | 52 | 1 | 1 | 3 |
126 " | = | 1 pipe, | = | 104 | 3 | 1 | 3 |
252 " | = | 1 tun, | = | 209 | 3 | 1 | 2 |
U. S. measure for ale and beer. | British (Im.) measure. | ||||||
galls. | qts. | pts | gills. | ||||
9 galls. | = | 1 firkin, | = | 9 | 0 | 1 | 1 |
36 " | = | 1 barrel, | = | 36 | 2 | 0 | 3 |
54 " | = | 1 hogsh. | = | 54 | 3 | 0 | 1 |
108 " | = | 1 butt, | = | 109 | 3 | 1 | 3 |
To convert Imperial gallons into United States Wine gallons, multiply the imperial by 1.2. To convert U. S. gallons into Imperial, multiply the U. States Wine gallons by .833.
51 U. S. Ale gallons equal 60 Imperial gallons, therefore to convert one into other add or deduct 1/16 th.
 
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