Of your proceedings make a memorandum, from which fill up the Dimension Book as explained for the Round Tun, and conclude with constructing a Table from the Dimension Book, in every respect similar to the Table last exhibited.

EXAMPLE.

Let ABCDEPG be a square Mash Tun, to be gaged and inched.

With a tape extended from A to B, ascertain the length of the Tun, which let be 96 inches: then at 24 inches from A, towards B, (being one-fourth part of 96 inches,) strike with a chalked line a perpendicular on the side within, and at the same distance from B towards A, strike another perpendicular. Repeat this operation on the opposite side of the Tun; and then measure the breadth AC which let be 80 inches.

Next at 20 inches (one fourth part of 80) from A towards C, strike a perpendicular line down the end of

the Tun within, and another at 20 inches from C towards A.

This operation having been repeated on the opposite end, descend into the Tun, and make marks at five inches high on each of the perpendiculars; with another set at 15 inches high; and a third set at 25 inches; carrying the ten-inch divisions as far as possible up the side, but always leaving 5 inches clear above the last mark.

If any number of inches, more than five, but less than ten, remain at the mouth, make marks at the half of the difference between 5 inches, and the excess above 5 inches, reckoning from the mouth.

As soon as the marking is finished, proceed to take the lengths and breadths of the Tun, noting them in a memorandum, with the mean length and breadth arising from them.

In the instance before us, we shall suppose the following to be a copy of the memorandum furnished by actual admeasurement.

In this memorandum each mean length is deduced from two lengths, and each mean breadth from two breadths; but it sometimes happens that three or four lengths and as many breadths are taken on the same level. In all cases, however, the mean length is the quotient of the sum of all the lengths divided by the number of lengths taken, and the mean breadth is the quotient of the sum of the breadths divided by the number of breadths.

Being now in possession of every requisite for the Dimension Book and Table, we make the following entry, dividing the product of each length and breadth by 227, the number of cubic inches in a Mash-Tun Gallon, and thus obtaining Gallons. These, divided by 8, become Bushels; and bushels, divided by 8, give Quarters.

DIMENSION BOOK.

A. B.'s Square Mash-Tun Gaged, 10 May, 1820.

The Dimension Book being thus complete, we shall proceed to tabulate as far as 30 inches, which will be amply sufficient for a specimen.

To Gage and Inch an Oval Mash-Tun.

Extend a small cord or rule, longitudinally across the mouth, shifting the ends of the cord or rule backwards and forwards, till the greatest length of the oval is found then make two marks with chalk on the inside of the mouth to represent the extremities of the transverse axis of the upper oval. Next extend the cord or rule diametrically across the middle of the mouthshifting the ends of the cord or rule till the greatest width is found, and make two marks with chalk as in the first instance. Having thus found the extremities of the transverse and conjugate diameters, strike perpendiculars down the inside of the Tun at each of the four marks, with a chalked line, and take the depth.

After this, let marks be made on each of the chalk, lines, at the middle of every ten inches, counting from the bottom; and take the transverse and conjugate