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2. Swapped with John Jones a piece of Irish linen containing 36yds. lqr. 3na. for a piece of Holland containing 20E. Fl. 2qrs. Ina.: and swapped also with Seth Sears a piece of sheeting measuring 41E. E. 4qrs. 2na. for a piece of French cambric measuring 30E. Fr. 5qs. 3na.; each agreed to pay me the balance, in quantity, in jean: how many yards of jean must I receive from both ?

Ans. 26yds. 3qrs. Ina.

LONG MEASURE. Deg. mi. fur. pol. ft. in. bar. Mi. fur. pol. yd. ft. 81 30 4 24 12 6 1 74 3 16 4 1 29 41 5 13 14 I 2 48 5 37 2 2

APPLICATION. 1. Paul travelled three days, going 33mi. 5fur. 37pol. 2yd. 2ft. each day; Amos set out with him, but travelled only 28mi. 7fur. lyd. 2ft. each day ;, at the end of the third day, how far was Amos behind Paul ?

Ans. 14mi. 4fur. 31 pol. 3yd. 2. The ship Sea-horse, bound to a port at 320 leagues' distance, sailed 6 days at an average rate of 120mi. 18pol. 9in. every 24 hours; at the end of the six days, how far short of her destined port was she ?

Ans. 79leag. 2mi. 5fur. 11pol. 12ft.

LAND OR SQUARE MEASURE.
Acre. roo. per. yd. ft. in.

Ac. roo. per
93 2 27 14 7 101

39 2 17 64 3 14 161 8 97 16 3

19

ÀPPLICATION: 1. Rufus, David, Moses, and Robert owned, together, 542ac. Troo. 3trods, 291yds. 7ft. 142in. of land; the first had 101aer. 3roo. 21rod. 4ft. 139in. the 2d, 99acr. 4fyd.. the 3d, 97acr. 24per. 8ft. 99in. ; how much then, had the fourth ?

* Ans. 244ac. Troo. 29per. 231yds. 3ft. 48in.

2. A man had 1000 acres of land, which he divided among his three sons; giving Abraham 156ac. 3roo. 14 rod. 27yds, 8ft. 125in. ; Isaac as much again; and Jacob the rest ; pray how much had Jacob?

Ans. 529ac. Iroo. 35per. 6fyd. 57in.

CUBIC OR SOLID MEASURE.

T. rou. ft. inches.

64 37 1141
17 19 1400

T. hewn.ft.

802 26
204 31

Cord. ft.
31 39
9 107

APPLICATION.

.

1. Agreed with Noah Nott for 134 tons, 20ft. of round. timber; he has drawn 99tons, 39ft. 1701in.; how much more must he haul to complete the contract ?

Ans. 34tons, 20ft. 27in. 2. I bought 94tons, 25ft. 1600in. of hewn timber, of which I have sold F. Francis 54tons, 45ft. 1709in.; and Saul Swift agrees to take the rest ; how much less will be the quantity taken by Swift than that taken by Francis ?

Ans. 15tons, 16ft. 90in.

DRY MEASURE.

Chal. bus. pk.
103 17 1
94 31 2

Bus. pk. gal. qt. pt.
62 1 0 2 1
15 2 0 3 1

APPLICATION. 1. A merchant contracted for 6000 bushels of wheat, which was shipped on board of two vessels ; one arrived, and brought 3000bush. 2pk. Igal. 3qt. 1 pt. ; the other never came into port ; how inuch less was lost than was saved?

Ans. Ibus. 1 pk. Igal. 3qts. 2. Having 199 chaldrons of coals, I sell George Gre 99chal. 34 bus. lpk., and Mark Mann the rest ; how much less has Mark than George ?

Ans. 32bus. 2pk.

WINE MEASURE.

Tun, hhd. gal. qt.
320 1 28 1
91 2 45 4

Hhd. gal. qt. pt. gill. 61 31 2 1 1 17 51 3 0 1

APPLICATION. 1. Imported 29tuns, 3hhd. 59gal. 3qts. of wine; it was put on board of two vessels; the Nancy brought 30pipes, Ihhd. 61gal. 2qts., and the Thomas the rest ; how much less had the Thomas on board than the Nancy ?

Ans. 1tun, and iqt. 2. A wine merchant bad 125hhds. 17gal. 1qt. 1 pt. 1gill of wine, of which he sold in the first week 33pipes, 3qts. 3gills, and the next week the remainder: how much less did he sell the second week, than the first ?

Ans. 6hhds. 47gal. 1qt. 1gill.

TIME. Yr. m. w. d. h. m. s. Yr. days. h. 1807 5 3 6 5 40 21 17 231

6 912 11 1 4 11 51 36 9 324 4 47

m.

11

APPLICATION 1. The war between England and America which gave birth to our independence, commenced April 19, 1775, and a general peace took place January 20, 1783; how long did the war continue, calling a year 12 months ?

Ans. 7yrs. Imo. 1day, 2. If a note of hand be dated July 14, 1831, and it be taken up April 3, 1835, for what time must interest be reckoned, calling 30 days a month?

Ans. 3yr. 8mo. 19da. 3. Jacob, by contract, was to serve Laban for his two daughters 14 years; when he had completed 11years, 11 months, 11 weeks, 11 days, 11 hours, and 11 minutes, pray how much longer had he to serve, calling 4 weeks a month, and 13 months a year?

Ans. 1yr. 11m. 3w. 2d. 12h. 49m.

COMPOUND MULTIPLICATION. COMPOUND MULTIPLICATION teaches to find the amount of any given number of different denominations by repeating it any proposed number of times.

RULE.—Place the multiplier under the lowest denomination of the multiplicand. Multiply the number of the lowest denomination by the multiplier, and find how many units of the next higher denomination are contained in the product, as in Compound Addition ; write down the excess,

and

carry the quotient, or ones, to the product of the next higher denomination, with which proceed as before, through all the denominations to the highest ; whose product, with the several excesses, will be the whole amount required.--The method of proof is the same as in Simple Multiplication.

CASE I.--EXAMPLES.

MONEY. £ d. s.

£ Multiply 37 17 64 21 12 9 2 -11 by 5

4

6

S.

d. qr.

S. d.

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941

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per barrel ?

APPLICATION. 1. What will 7 barrels of flour come to, at £2 16s. 6d.

Ans. £19 15s. 6d. 2. What will 6 pounds of tea come to, at 5s. 3d. ?

Ans. £1 11s. 6d. 3.

8 pounds coffee, at 2s. 1 d.? Ans. 17s. 4. 11 gallons oil at 5s 9fd. ? Ans. £3 3s. 114d.

TROY WEIGHT.
H. oz. dwt. gr.

tj. oz. dwt. gr.
3 0 14 9

71 9 16 11 3

4

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APPLICATION. : What is the weight of six silver porringers, each weighing lloz. 18dwt. ? Ans. 51. I loz. 8dwt.

F

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APPLICATION. 1. What is the weight of 6 barrels of sugar, each weighing lcwt. 3qrs. 2016. ? Ans llcwt. 2qrs. 818.

2. What is the weight of 12 hogsheads of sugar, each 13cwt. 2qrs. 231., 2511. a qr. ? Ans. 164cwt. 3qrs. lib.

3. What is the weight of 6 chests of tea, each weighing 3cwt. 2qrs. 91., 251t. a qr. ? Ans. 21cwt. 2qr. 4lb.

CLOTH MEASURE.
Yds. gr. na.
E.Fl. gr. na.

E.E. gr. na.
3 1 3
91 2 1

61 4
7

8

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APPLICATION. 1. What number of yards is in 8 pieces of broadcloth, each 32yds. 3qrs. Ina. !

Ans. 260yds. 2qrs. 2. If 8 E. E. 3qrs. 3na. of broadcloth will make a suit of clothes ; how much of the same cloth will make 12 similar suits ?

Ans. 105 E. Eng. LONG MEASURE. Deg. mi. fur. pol. ft. in. bar. . Mi. fur. pol. yds. ft. 5 31 3 27 14 8 2 7 5 21 5 1

10

11

APPLICATION. 1. How far will a man travel in 7 days, if he go 31mi. 31 pol. 6ft. 6in. every day!

Aps. 217mi. 6fur. 19pol. 12ft. 6in. 2. If in a race, a horse move 14ft. 7in. 2bar. at every bound, and take 2 bounds in every second, what course will he run over in 12 seconds ? Ans. 117yds. 4in.

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