Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση
[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][ocr errors]

How many square feet in a board 16 feet 9 inches long, and 2 feet 3 inches wide?

By Duodecimals.

F. I. 16 9

By Decimals.

F. I.

[blocks in formation]
[blocks in formation]

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,

EXAMPLES.

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 X4,167=31,2525×2,2-70,318125 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.

[blocks in formation]

Ans. 4 8 3

F. in.

4,6875=4 81, or half a corð and 84 inches over.

The foregoing method is concise and easy to those who are well acquainted with Duodecimais, but the following table will give the content of any load of wood, by inspection only, sufficiently exact for common practice; and will t

found very convenient.

A TABLE of Breadth, Height, and Content.

[merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small]

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 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, 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 content.

Thus, with breadth 3 feet 0 inches, and under 2 feet a-top, stande 36

inches; and under 8 inches, stands 12 inches: now 36 and 12, make 48, the answer in inches; and 48÷12— 4 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. I qr. 2 inches, the answer.

TABLE I.

Showing the amount of £1, or $1, at 5 and 6 per cent. per annum, Compound Interest, for 20 years.

Yrs. 15 per cent.16 per cent.|Yrs.15 per cent. 16 per cent.{

1,05000 1,06000 11 1,71034 1,89829

1,12360 12 1,79585 2,01219

1

2 1,10250

3 1,15762

1,19101 13 1,88565

2,13292

[blocks in formation]

9

1,55132

10 | 1,62889

1,68947 19 2,52695 3,02559 1,79084 | 20 | 2,65329 | 3,20713

VII. The weights of the coins of the United States.

pwt. gr.

Eagles,

[blocks in formation]

Half-Eagles,

5

15

Gold.

Quarter-Eagles,

[blocks in formation]

Dollars,

[blocks in formation]

Half-Dollars,

[blocks in formation]

Quarter-Dollars,

4.

8

Silver,

Dimes,

[blocks in formation]

Half-dimes,

204

Cents,

[blocks in formation]

Half-Cents,

[blocks in formation]

Copper

The standard for the alloy to consist of is 1485 parts fine to 179

coin is 11 parts pure gold, and 1 part alloyver and copper. The standard for silver coin parts alloy the alloy to be wholly copper.

ANNUITIES.

TABLE II. Showing the amount of 11. annuity, forborne for 31 years or under, at 5 and 6 per cent. compound interest.

Yrs.

I

2

5

[blocks in formation]

TABLE III.

Showing the present worth
of 11. annuity, to contin-
ue for 31 years, at 5 and
6 per cent. compound int.
5
6

1,000000 1,000000|| 0,952381| 0,943396 2,050000 2,060000|| 1,859410 1,833393 3 3,152500 3,183600 2,723248 2,673012 4 4,310125 4,374616|| 3,545950| 3,465106 5,525631 5,637193|| 4,329477 4,212364 66,801913 6,975316|| 5,075692 4,917324 7 8,142009 8,393838 5,786278 5,582381 8. 9,549109 9,897468 6,463213 6,209794 9 11,026564 11,491316|| 7,107822 6,801692 10 12,577892 13,180770|| 7,721735 7,360087 11 14,206787 14,971643 8,306414 7,886875 12 15,917126 16,869942 8,863252 8,383844 13 17,712932|18,882138|| 9,393573 8,852683 14 19,59863221,015066|| 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 28,13238530,905653||11,689587|10,827603 19 30,53900433,759992||12,085321|11,158116 20 33,065954 36,785592 12,462210 11,469921 21 35,71925239,992727 12,82115311,764077 22 38,50521443,392291||13,163003 12,041582 23 41,430475 46,995828 13,488574 12,303380 24 44,501999 50,81557813,798642 12,550357 25 47,727099 54,864512 14,093944 12,783356 26 51,113454 59,156382 14,375185 13,003166 27 54,669126 63,705765 14,643034 13,210534 28 58,402583 68,528112 || 14,898127 13,406164 29 62,32271273,639798||15,141073 13,590821 30 66,438847 79,058186||15,372451 13,764831 31 70,760790 84,80167715,592810 13,929086

« ΠροηγούμενηΣυνέχεια »