RULE. The burthens of similar built ships are to each other, at the cubes of their like dimensions. EXAMPLE. If a ship of 300 tons burthen be 75 feet long in the keel, I demand the burthen of another ship, whose keel is 100 feet long? T.cwt. qrs. lb. As 75x75x75:300 :: 100 x 100 × 100:711 2 0 24+ DUODECIMALS, OR CROSS MULTIPLICATION, IS a rule made use of by workmen and artificers in cast ing up the contents of their work. RULE. 1. Under the mulpficand write the corresponding deno minations of the multiplier. 2. Multiply each term into the multiplicand, beginning at the lowest, by the highest denomination in the multiplier and write the result of each under its respective term; ob serving to carry an unit for every 12, from each lower de nomination to its next superior. 3. In the same manner multiply all the multiplicand by the inches, or second denomination, in the multiplier, and set the result of each term one place removed to the right hand of those in the multiplicand. 4. Do the same with the seconds in the multiplier, setting the result of each term two places to the right hand of those in the multiplicand, &c. TO MEASURE LOADS OF WOOD. RULE.-Multiply the length by the breadth, and the product by the depth or height, which will give the content in solid feet; of which 64 make half a cord, and 128 a cord. EXAMPLE. How many solid feet are contained in a load of wood. 7 feet 6 inches long, 4 feet 2 inches wide, and 2 feet 3 inches high? 7 ft. 6 in.=7,5 and 4 ft. 2 in. =4,167 and 2 ft. 3 in = 2.25; then, 7,5×4,167=31,2525 × 2,25=70,318125 solid feet, Ans. But loads of wood are commonly estimated by the foot, allowing the load to be 8 feet long, 4 feet wide, and then 2 feet high will make half a cord, which is called 4 feet of wood; but if the breadth of the load be less than 4 feet, its height must be increased so as to make half a cord, wnich is still called 4 feet of wood. By measuring the breadth and height of the load, the content may be found by the following RULE.-Multiply the breadth by the height, and half the product will be the content in feet and inches. EXAMPLE. Required the content of a load of wood which is 3 feet 9 inches wide and 2 feet 6 inches high. By Duodecimals. By Decimals. inches over. The foregoing method is concise and easy to those who are well acquainted with Duodec nals, but the following table will give ha content of any load of wood, by inspection only, sufficiently exact for common practice; which will be found ver vonvenient. A TABLE of Breadth, Height, and Content. TO USE THE FOREGOING TABLE. First measure the breadth and height of your load to the nearest average inch; then find the breadth in the left hand column of the table, then move to the right on the same line till you come under the height in feet, and you will have the content in inches, answering the feet, to which add the content of the inches on the right and divide the sum by 12, and you will have the true content of the load in feet and inches. Note. The contents answering the inches being always small, may oe added by inspection. EXAMPLES. 1. Admit a load of wood is 3 feet 4 inches wide, and 2 feet 10 inches nigh, required the content. Thus, against 3 feet 4 inches, and under 2 feet, stands 40 inches; and under 10 inches at top, stands 17 inches: then 40+17-57, true content in inches, which divide by 12, gives 4 feet 9 inches, the answer. 2. The breadth being 3 feet, and height 2 feet 8 inches; required the conient. Thus, with breadth 8 feet 9 inches, and under 2 feet atop, stands 36 ches; and under 8 mehes, stands 12 inches: now 36 and 12 make 46, the answer in inches; and 4812-4 feet, or just half a cord. 3. Adm the breadth to be 3 feet 11 inches, and height 3 feet 9 inches: equired the content. Unde: 3 feel at top, stands 70; and under 9 inches, is 18: 70 and 18, make 88 12 7 feet 4 inches, or 7 ft. I qr. 2 inches, the answer. TABLE I Showing the amount of £1, or $1, at 5 and 6 per annum, Compound Inter 'st, for 20 years. cent. pe Yrs.5 per cent. 6 per cent.|| Yrs.15 per cent.6 per cent. 1 1,05000 1,06000 3 2 1,10250 | 1,12360 6 14 1,97993 | 2,26090 15 | 2,07893 | 2,39655 1,34009 1,41851 16 2,18287 2,54727 Eagles, 9 1,55132 1,68947 VII. The weights of the coins of the United States. Half-Eagles, prot. grs. 11 6 5 15 Quarter-Eagles, } Standard Gold. Copper. The standard for gold coin is 11 parts pure gold, and one part alloy the alloy to consist of silver and copper. The standard for silver coin is 1485 parts fine to 179 parts alloy the allov to be wholly copper. |