In transcribing the content from any tabulation, it is customary to omit the decimal parts of a gallon; but to compensate for this omission, every decimal greater than 50 is considered a gallon. Hence the above Table would be transcribed as follows:

To Gage and Inch a Round Hop-Tun.

If the sides be perpendicular to the bottom, several cross diameters at various depths are to be taken, and the sum of all the diameters, divided by the number taken, will be the mean diameter of the Tun. This mean diameter squared, and divided by 359, the circular divisor for ale gallons, will give the area for an inch deep on the bottom, and this added to the drip (if any) will be the content of the Tun at one inch wet.

The area, for an inch deep, added to the content at one inch wet, will be the content at two inches wet; and thus by continual addition, the Tun may be tabulated for every inch of its depth.

If the sides be not perpendicular to the bottom, cross diameters at the middle of every ten inches from the bottom must be taken, and half the sum of each pair must be considered the diameter of the Tun throughout the division at the middle of which the two diameters have been taken. Then the content is to be determined precisely in the manner directed for Coppers and Round Mash Tuns, in PROBLEMS I. and v. in the Brew-House; and lastly, a Table is to be constructed for every wet inch of the Tun from the bottom to the top.

EXAMPLE 1.

Let the following diagram represent a round HopBack with sides perpendicular to the bottom, given to be gaged and inched.

METHOD OF PROCEEDING.

Measure the depth of the Tun, which we may suppose is 67.3 inches: then with a dimension-cane take several diameters in various parts of the Tun, which let be the following:

Here six different diameters have been taken, and if their sum be divided by their number, we shall obtain for quotient the mean diameter of the Tun: thus,

Divide by 6) 495 sum of six diameters

Quotient 82.5 mean diameter.

Now, instead of squaring 82.5, and dividing the product by the circular divisor for ale gallons, we enter the Table of the Areas of Circles for Ale Measure, with 82.5 as diameter, and find the content for one inch deep to be 18.95 ale gallons.

Next, causing liquor to be admitted into the Back to cover the bottom, we dip at the constant dipping place, and find no tenths wet: consequently there will

be no abatement to be made from the apparent depth on any occasion whatever.

On drawing off and carefully measuring the liquor admitted to cover the bottom, we enter it as drip: suppose it to be a firkin, and the Table will begin as follows:

A. B.'s HOP-BACK, No. 2, TABLED.

In this manner may the Table be extended at plea

sure to the whole depth of the Tun.

EXAMPLE 2.

Let the following diagram represent a Hop-Back, in the form of the frustum of a cone standing on its less end, given to be gaged and inched.

METHOD OF PROCEEDING.

Lay a rod diametrically across the mouth, and with a rule or dimension-cane take the perpendicular depth, which let be 50 inches.

Then five inches from the bottom take two cross diameters, and reserve half their sum for the mean diameter throughout the first ten inches from the bottom.

Again, take two cross diameters ten inches above the place of the first pair, and reserve half their sum likewise, as the mean diameter throughout the second ten-inch division from the bottom.

Also, ten inches still higher, take a pair of cross diameters, reserving half their sum as the mean diameter of the third division.

In this manner proceed to the top, taking cross diameters at distances of ten inches on the perpendicular.

Suppose now, the memorandum to stand as in the following page :