How many square feet in a board 16 feet 9 inches long, and 2 feet 3 inches wide? By Duodecimals. F. I By Decimals. F. J. 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, 7,5x4,167=31,2525x2,25-70,318125 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, which 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. Ans. 4 8 3 F. in. 4,68754 81, or half a cord and 8 inches over. The foregoing method is concise and easy to those who are well ac quainted with Duodecimals, but the following Table will give the content of any load of wood, by inspection only, sufficiently exact for com practice; which will be found very convenient. A TABLE of Breadth, Height, and Content. 4 2347709424 0. ||24 48 72 962 4 6 8 10 12 14 16 18 20|22| TO USE THE FOREGOING TABLE. First measure the breadth and height of your load to the nearest ave rage 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 be added by inspection. EXAMPLES. 1 Admit a load of wood is 3 feet 4 inches wide, and 2 feet 10 inches high; 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 truc 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 content. Thus, with breadth 3 feet 0 inches, and under 2 feet atop, stands 30 inches; and under 8 inches, stands 12 inches: now 36 and 12, make 48, the answer in inches; and 48÷124 feet, or just half a cord. 3. Admit the breadth to be 3 feet 11 inches, and height 3 feet 9 inches; required the content. Under 3 feet at top, stands 70; and under 9 inches, is 18: 70 and 18, make 88÷12-7 feet 4 inches, or 7 ft. 1 qr. 2 inches, the answer. TABLE 1. Showing the amount of £1, or $1, at 5 and 6 per cent. per annum, Compound Interest, for 20 years. Yrs 15 per cent. 6 per cent. Yrs. 15 per cent.16 per cent. 10 1,62889 1,79084 | 20 | 2,65329 3,20713 VII. The weights of the coins of the United States. 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 485 parts fine to 179 parts alloy-the alloy to be wholly copper. ANNUITIES. TABLE II. TABLE III. Showing the amount of £1 annui-Showing the present worth ty, forborne for 31 years or under, at 5 and 6 per cent. compound interest. 1 6 of £1 annuity, to contin- 1,000000 1,000000|| 0,952381 0,943396 2 2,050000 2,060000 1,859410 1,833393 3,152500 3,183600 2,723248|| 2,673012| 234 4,310125 4,374616|| 3,545950, 3,465106 5 5,525631 5,637193 4,329477 4,212364 8 6 6,801913 6,975319 5,075692 4,917324 7 8,142009 8,393838 5,786278 5,582381 9,549109 9,897468 6,463213 6,203794 9 11,026564 11,491316 7,107822 6,801692 10 12,57789213,180770|| 7,721735 7,360087 1114,20678714,971643|| 8,306414 7,886875 12 15,917126 16,869942|| 8,863252 8,383844 13 17,712982 18,382138|| 9,393573 8,852683 14 19,598632 21,015066|| 9,898641 9,294984 15 21,578564 23,275969 10,379658 9,712249 16 23,657492|25,672528||10,837769 10,105895 17 25,840366,28,212380|11,274066 10,477260 18 28,132385 30,905653 1,689587 10,827603 19 30,539004|33,759992||12,085321 11,158116 20 33,065954 36,785592|| 12,462210 11,469921 21 35,719252 39,992727 12,82115311,764077 22 38,505214 43,392291 13,163003 12,041582 23 41,430475 46,995828 13,488574 12,303380 24 44,501999 50,815578 13,7986422,550357 25 47,727099 54,864512 14,093944 12,783356| 26 51,113454 59,156382||14,275185 13,003166 27 154,669126'63,705765||14,643034 13,210534 28 58,402583 68,528112 14,898127 13,406164 29 62,322712 73,639798 15,141073 13,590721 30 66,438847 79,058186 15,372451|13,764831 31 70,760790 84,801677 15,592810 13,929086 U* |