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2. Troy Weight.

24 grains (gr.) make 1 penny-weight, marked

20 penny-weights, 1 ounce,

pwt.

oz. lb.

12 ounces,

1 pound,

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16 ounces,

1 pound,

lb.

4 quarters,

20 hundred weight,

28 pounds, 1 quarter of a hundred weight,

By this weight are weighed all coarse and drossy goods, grocery wares, and all metals except gold and silver.

4. Apothecaries Weight.

qr.

1 hundred weight,

cwt.

1 ton,

T.

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This measure is applied to grain, beans, flax-sced, salt, oats, oysters, coal, &c.

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S barley corns (b. c.) make 1 inch, marked

12 inches,

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S miles,

69 statute miles,

1 rod, pole, or porch, rd.

in.

1 foot,

ft.

1 yard,

yd.

1 furlong,

fur.

1 mile,

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1 league,

lea.

1 degree, on the earth.

360 degrees, the circumference of the earth.

The use of long measure is to measure the distance of places, or any other thing, where length is considered, without regard to breadth.

N. B. In measuring the height of horses, 4 inches make 1 hand. In measuring depths, six feet make 1 fathom, or French toise. Distances are measured by a chain, four ruds long, containing one hundred links.

9 Land, or Square Measure.

144 square inches make

9 square feet,

301 square yards, or ? 2724 square feet, 40 square rods,

4 square roods,

640 square acres,

10. Solid or Cubic

1728 solid inches make
40 feet of round timber, or
50 feet of hewn timber,
128 solid feet or 8 feet long,

4 wide, and 4 high,

1 square foot.

1 square yard.

1

square

rod.

1 square rood.

1 square acre.
1 square mile.

Measure.

1 solid foot.

1 ton or load.`

1cord of wood

All solids, or things that have length, breadth and depth, are measured by this measure. N. B. The wine gallon contains 231 solid or cubic inches, and the beer gallon, 282. A bushel contains 2150,42 solid inches.

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4 weeks,

1 month,

mo.

18 months, 1 day and 6 hours, 1 Julian year,

yr.

Thirty days hath September, April. June, and November, February twenty-eight alone, all the rest have thirty-one. N. B. In bissextile, or leap year, February bath 29 days.

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30 degrees,

1 minute,

1 degree,

1 sign,

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12 signs, or 360 degrees, the whole great circle of the Zodiac.

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+ More, the sign of addition, as 5+712, signifies that 5 and 7 added together, are equal to 12,

Minus, or less, the sign of subtraction, as 6-2=4, signifies that 2 subtracted from 6, leaves 4.

× Multiply, or with, the sign of Multiplication; as 4x3=12, signifies that 4 multiplied by ŝ, is equal to

12.

4, each of

The sign of Division; as 8÷2-4, signifies that divided by 2, is equal to 4; or thus, which signify the same thing.

Four points set in the middle of four numbers, denote them to be proportional to one another, by the rule of three; as 2:4::8:16; that is, as 2 to 4, so is & to 16.

✓ Prefixed to any number, supposes that the square root of that number is required.

Prefixed to any number, supposes the cube root of that number is required.

Denotes the biquadrate root, or fourth power, &c,

1,5

ARITHMETIC.

ARITHMETIC is the art of computing by numbers, and has five principal rules for its operation, viz. Numeration, Addition, Subtraction, Multiplication, and Divi

sion.

NUMERATION.

Numeration is the art of numbering. It teaches to express the value of any proposed number by the following characters, or figures:

1, 2, 3, 4, 5, 6, 7, 8, 9.0-or cypher.

Besides the simple value of figures, each has a local value, which depends upon the place it stands in, viz. any figure in the place of units, represents only its simple value, or so many ones, but in the second place, or

NOTE. Although a cypher standing alone signifies nothing; yet when it is placed on the right hand of figues, it increases their value in a tenfold proportion, by throwing them into higher places. Thus 2 with a cypher annexed to it, becomes 20, twenty, and with two cyphers, thus, 260, two hundred.

2. When numbers consisting of many figures, are given to be read, it will be found convenient to divide them into as many periods as we can, of six figures each, reckoning from the right hand towards the left, calling the first the period of units, the second that of millions, the third billions, the fourth trillions, &c. as in the following number:

30 7 3 6 2 5 4 6 2 7 8 9 0 1 2 5 0 4. Period of 3. Period of 0; Period of 1. Trillions.

8078

Billions.

625462

Millions

783012

6 7 9 @

Period of

Unils.

506792

The foregoing number is read thus-Eight thousand and seventy-three trillions; six hundred and twenty-five thou sand, four hundred and sixty-two billions; seven hundred and eighty-nine thousand and twelve millions; five hundred and six thousand, seven hundred and ninety-two.

N. B. Billions is substituted for millions of millions.
Trillions for raillions of millions of millions.

Quatrillions for millions of millions of millions of millions

&c.

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