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LAND-MEASure.

This measure shews the quantity of Lands.
The denominations are;

9 square feet (Ft.) make 1 yard, Fd.

304 yards
40 perches
4 roods,

1 perch, P.

1 rood, R.
1 acre,

A.

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1 If one field contain 27 acres, 3 roods, 27 perches; another 17 acres, 3 roods, 36 perches; and a third 41 acres, S roods, 19 perches; how much in all?

answer 87A. 3R. 2P. 2 Admit a man has one field of wheat containing 37, acres, 23 perches; another of rye 25 acres, 2 roods; two pieces of pasture each 17 acres, 1 rood, 11 perches; meadow 21 acres, 14 perches; woodland 42 acres, 2 roods, 26 perches; what quantity does he hold?

answer 161,A. SR. 5P.

LIQUID-MEASURE.

This measure is used for beer, cider, wine, &c.

The denominations are ;

2 pints (pt.) make 1 quart,

4 quarts

1 gallon,

63 gallons

2 hogsheads

2 pipes or 4 hogsheads, 1 tun,

qt.

gal.

pi. or bt.

T.

1 hogshead of wine or brandy, hhd. 1 pipe or butt,

Note. By a law of Pennsylvania, 16 gallons make one half barrel; 31 gal. lons one barrel; 64 gallons one double barrel; 84 gallons 1 puncheon; 42 gallons 1 tierce.

EXAMPLES.

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Application.

1 Suppose a vintner bought 4 vessels of brandy, guaging as follow, viz. 120 gallons, 2 quarts, 1 pint: 258 gallons; 136 gallons; 118 gallons, 1 quart; how much do they contain ? answer 632gal. 3qt. 1pt. 2 Sold six hogsheads of cider, 4 of which contained each 97 gallons, I quart; and each of the rest 5 gallons, 2 quarts, 1 pint more; how much do they all make?

DRY-MEASURE.

answer 594gal. 3qt.

This measure is used for grain, fruit, salt, &c.

The denominations are ;

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Application.

1 Add 14 bushels, 2 pecks, 5 quarts; 25 bushels, 3 pecks; 8 bushels, 7 quarts; 19 bushels, 1 peck, to a gra

nary

nary that contains 59 bushels, 4 quarts: and tell the amount? answer 125 bushels.

2 Admit a man had 6 granaries, 4 of which contain 87 bushels, 2 pecks each, and the other two one hundred bushels and seven quarts each; how much do they all contain? answer 550Bu. 1pe. 6gt.

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Note. A common year consists of 365 days, and every fourth, called Leapyear, of 366.

The year is also divided into 12 calendar months, as follow: The fourth, eleventh, ninth and sixth,

Have thirty days to each affix'd;

And ev'ry other thirty-one,
Except the second month alone,
Which has but twenty-eight in fine,
Till leap-year gives it twenty-nine.

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1 What day of the year was the twenty-ninth of the eighth

month 1815 ?

answer 241st.

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2 From the 2d of the third month, to the 19th of the eleventh month inclusive, how many days? ans. 263 days.

3 Admit A to be 27 years, 5 months, 2 weeks old; B 25 years; C 20 years, 7 months, 3 weeks, 4 days; D 17 years, 4 days; E and F 14 years, 11 months, 1 week each; G 12 years, 1 month, 6 days; what is the sum of their ages? answer 131y. 11m. 1w.

MOTION OR CIRCLE-MEAsure.

This is used by astronomers, navigators, &c.
The denominations are;

60 seconds (") makė

60 minutes

30 degrees

1 minute

1 degree 1 sign

sig.

A

12 signs, or 360 degrees, one revolution, or circle.

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COMPOUND SUBTRACTION.

OMPOUND Subtraction teaches to take one quantity of several denominations from a greater of like quality.

GENERAL RULE.

Place the quantities as in compound addition, with the less under the greater; then begin at the right hand, and take the under from the upper; but when the lower num

ber

ber is greater than the upper, take it from as many of that denomination as will make one of the next greater, and to the remainder add the upper number; set down the result, and carry one to the next, &c.

Proof. As in integers.

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1 Suppose A is indebted to the brewer one hundred thirty-eight pounds, fourteen shillings and six pence, B 871. 16s. 4d.; how much does one owe more than the other? answer 50l. 18s. 1d.

2 The brewer and baker drew bills each upon the other; the brewer stands indebted seven hundred fifty-six pounds, seventeen shillings; the baker 4371. 17s. 8d. what is the balance, and in whose favor? ans. 318l. 19s. 3d.4 in the baker's. 3 Suppose A owes 2000l. whereof he pays at one time 4997. 19s. 11d. and at a second payment 13887. 18s. 11d. what is the residue ? answer 1117. 1s. 1d.t

4 Admit A have owing to him on bond 7921. 11s. 2d. and interest due thereon 1937. 12s. 9d., and receives in part pay, viz. 198l. 17s. 4d., 2791. 11s. 7d., 198l. 19s. 10d., and 981. 12s. 9d, what sum remains unpaid?

answer 2101. 2s. 4d.

5 Paid

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