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RULE. The burthens of similar built ships are to each other, as the cubes of their like dimensions.

EXAMPLE.

If a ship of 500 tons buithen be 75 feet long in the keel, I demand the burthen of another ship, whose keel is 100 feet long?

T.cwt.grs.lb. As 75X75X75 : 300 :: 100X100X100 : 711 2 0 24+

OR

DUODECIMALS,

CROSS MULTIPLICATION, ls

a rule made use of by workmen and artificers in casting up the contents of their work.

RULE. 1. Under the multiplicand write the corresponding denominations of the multiplier.

2. Multiply each term into the multiplicand, beginning at the lowest, by the highest denomination in the multi-. plier, and write the result of each under its respective term; observing to carry an unit for every 12, from each lower denomination 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 tlie right band of those in the multiplicann..

4. Do the same with the seconds in the multiplier, set. ting the result of each term two places to the right hand of those in the multiplicand, &c.

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FEET, INCHES AND SECONDS.

F. I.
Multiply 986
By
7 9 S

[tiplier.
67 11 6 =prod. by the feet in the mul-
7. 3 4 6 "=ditto by the inches.

1 6=ditto by the seconds.

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How

many square feet in å board 16 feet 9 inches kong, and 2 feet 3 inches wide ? By Duodeoimals.

By Decinuls.
F. I.

F. 1.
16 9

16 9=16,75 feet. 2 S

2. S

S3 6
4 2 S

8575 SS50 SS50

F. 1. Ans. S7,6875-37 8.5

Ans. 37

8 3

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 còrd, and 128 a cord.

a

EXAMPLE,

How many soliil feet are contained in a load of wood, ? 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. s in= 2,25; then, 7,5 x 4,167 =51,2525 X2,25=70,518125 solid feet, this.

But loads of wood are commonly estimatel by the footę allowing the load to be 8 feet long, 4 feet wide, and then 2 feet high will make halt a cord, which is called 4 feet of wood; but if the breailth of the load be less than 4 fects 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 heighth of the load, the content may be found by the following

RULE. Multiply the breadth by the lieight, and lials die pro. duct will be the contentiä feet and inches.

EXAMPLE.

Required the content of a load of wood which is Š feet 9 inches wide and 2 feet 6 inches higli. By Muodecimals. By Decimals.

F. in.
S 9

5,75
26

2,5

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9 4 6 9,375

F. in. Ans. 4 8 S 4,6873=4 81, or half a coril and

8} inches orer. 1990 foregoing method is concise and easy to those who are well

quainted with Duoslęcimals, but the following Table will give the content of any load or wood, by inspection only, stucirally exact for common practice; which will be found very convenieni.

A TABLE of Breadth, Height, and Content.. "Breadih. | Height in feet.

Inches. ft. in. || 1121314 11213| 4 | 5 | 6171819|10|11 2 6 15 30 45601 1 2 4 5 6 7 9/10/11/12/14

7 16 31 4762|| 1 | 345 6 S.3.10 12 13 14 8 16/32/48164 341 5 8

9|11|12|1315 9 17354966|| 1 1314 6 7 8 9 11 12 141151 10 17 315168 3146 7 91011113114|16

11 18/S55370 S46 7 9 10|12|13,15 16 3 O 18.36154721 5.16 8 9|11|12|14|15117 1 19 3715674

6 8 9|11 12 14 16 17 2 1913857176 2 3 5 6 8 10 11 13 14 16 17 3 19 8915978 57 8 10 11 13 15 1618 4 20140160 80 2 3 7 8 10 12 14 15 171181 5 21 41/6282|| 2S 5 7 8 110 11211416|17|19 6 121426384| 24 5 7 9 111211111618)19 7 22 43164 86 4 5 1hry 9 11 |13141618201 8 ||22 14/6688 4 7 9 11 13 15 17 18120 9 39 43 689011 2,4 7 9 11 13 15 17 19 21 10 231166992) 467 9 12 13 15 1711921 11

234770941 21 416 8 10 12 14 16 18 20192 4 0 241437296 2141618 10 12 14 16 18 20 22

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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 coretent 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.

1. Adinit a load of wood is 3 feet 4 inches wide, and 2 feet 10 inches liigh; required the content.--

Thus, against 3 st. 4 inches, and under % feet, stands 40 inches; and under 10 inches at top, stand: 17 inches: then 1017557 true content in inches, which divide by 12 gives 4 feet 9 inches, the answer.

2. The brea:lih being 3 feet, and height 2 feet 8 inches; required the content.-

Thus, with beadth 3 feet 0 inches, and under 2 feet

EXAMPLES.

a

atop, stands 56 inches ; and under 8 inches, stands 12 inches : now $6 and 12, make 48, the answer in inches; and 48:12=4 feet, or just half a cord.

3. Admit the breadth to be s 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.

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TABLE I. Showing the amount of £1,or 31, at 5 and 6 per cent. per

annuni, Compound Interest, for 20 years. Irs, (5 per cent.16 per cent.[Irs. 15 per cent. 16 per cent.

1 1,05000 1,06000 11 1,71034 1,89829
2

1,10250 1,12360 12 1,79585 2,01219
3 1,15762 1,19101 13 1,88565 2,13292
4 1,21550 | 1,26247 14 1,97993 2,26090
5
1,27628

1,33892 15 2,07893 2,39655
6 1,34009 1,41851 16 2,18287 2,54727

1,40710 | 1,50563 17 2,29201 2,69277 8 1,47745 1,59884 18 2,40661

2,85433 9 1,55132 1,69947 19 2,52695 3,02559 10 1,62889 1,79084 20 2,65329 3,20713 VII. The weights of the coins of the United States.

put. gr. Eagles,

11 6

Standard
Hair-Eagles,

5

Gold.
Quarter-Eagles,

2 19.
Dollars,

17 8
Hal-Dollars,

8
16

Standard
Quarter-Dollars, 4 &

Silver.
lunes,

1
Hals-Dimes,
Cents,

8 16
Half-Cents,

Copper.

4 8 The stanlard for gold coin is 11 parts pure gold. and one part alløy.--the alloy to consist of siiver and copper. The standard for silver coin is 1485 parts fine to 179 parts allow-ibe alloy to be whole ly copper.

15

17

1

.

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