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5. Add together 16 acres 1 rood 3 rods, 14 acres 3 roods 39 rods, 48 acres 1 rood 17 rods, 65 acres 3 roods 28 rods, and 19 acres lqr. 25 rods.

Ans. 164 acres 3 roods 32 rods. 6. Find the number of acres in the following tracts of land, viz. : the first contains 489 acres 3 roods 28 rods, the second 276 acres 1 rood 30 rods, the third 596 acres 2 roods 18 rods, the fourth 309 acres 3 roods 34 rods.

Ans. 1672 acres 3 roods 30 rods.

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4. A man bought 3 parcels of wood ; tħe first contained 2 cords 84 feet 864 inches ; the second, 5 cords 36 feet 1456 inches ; and the third, 96 cords 84 feet. How much did he buy in all ? Ans. 104 cords 77 feet 592 inches.

“5. Add together 25 cords 18 feet, 128 inches ; 19 cords 32 feet ; 14 cords 13 feet 1600 inches; and 125 cords 64 feet.

Ans. 184 cords.

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3. Add together 16 yrs. 154 d. 13 h. ; 24 yrs. 94 d. 18 h. ; 94 yrs. 184 d. 23 h. ; 56 yrs. 364 d. 5 h. ; and 25 yrs. 14 d. 1 h.

Ans. 217 yrs. 82 d. 12 h. 4. Add together 5 yrs. 125 d. 18 h.; 5 yrs. 19 d. 6 h.; 17 yrs. 156 d. 5 h. ; 356 d.; 18 h. ; 87 yrs. ; and 23 yrs. 134 d. 6 h

Ans. 139 yrs. 62 d. 5 h.

S. O

XII.

Circular Motion.

S. 6 29 40 20

11 13 45 59 3 5 59 48

9 29 18 00 1 18 27 30

5 18 27 1 2 11 45 20

3 5 18 27

3. Add together 345 deg. 25 m. 30 sec. ; 145° 18' 30''; 850 59' 48''; 45° 38' 44"; and 30° 15' 19".

Ans. 652° 37' 51".

COMPOUND SUBTRACTION.

Teaches to find the difference between any two numbers of diverse denominations.

RULE.

I. Place those numbers under each other which are of the same denomination, the less being below the greater;

II. Begin with the lowest denomination, and if it exceed the number above it; borrow as many units as make one of the next higher denomination ; subtract it therefrom, and to the difference add the upper number, remembering always to add one to the next superior denomination for that which you borrowed.

Proof.—The method of Proof is the same as Simple Subtraction.

EXAMPLES.

20
s.

12
d.

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Sterling Money. 1. Borrowed £30 4s. 9d., and paid £5 14s. 60. ; how much remains unpaid ? Operation.

Illustration. We write the

numbers, the less below the Minuend 30 4 9 greater, pence under pence, Subtrahend 5 14 6 shillings under shillings, &c.

We take 6d. from 9d., and the Remains unpaid 24 10 3

remainder is 3d. Proceeding to the shillings, we cannot take 14s. from 4s., but we bor. row 1 from the pounds =20s.; and 14s. subtracted from

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£

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20s. leave 6s., to which we add the upper number, 4s. making 10s., which we set down. Proceeding to the pounds, we carry 1 to £5 makes £6, which subtracted from £30 leave £24, and the work is done. d. £ S.. d.

d. qr. From 18 16 4 125 19 3

165

14 6 1 Take 8 13 6 112 16

2 131

19 4 3 10 2 10 6. An English merchant sold goods to the amount of £145 13s. 6 d., and received in part payment £55 18s. 4 d.; how much remained due, or unpaid.

Ans. £89 158. 1d. 3qrs.

Troy Weight
Ib. oz. pwt.

lb.

pwt. grs.
87
11 11 13

27 10 15 22
19
14 22

15 9 16 23
11 16 15
3. From 21b. lloz. 13pwt. take llb. Ooz. 19pwt.

Ans. 11b. 10oz. 14pwi. 4. A silversmith having 5lb. 3oz. 13pwt. of silver, worked up 1loz. 14pwt. 16grs. of it; how much had he left?

Ans. 4lb. 3oz. 18 pwt. 8grs. Avoirdupoise Weight. cwt. qr. lb. T. cwt. qr.

lb.

dr. 59 1 11

100 10 1 11 13 14 19 3 27

15 13 í 18 12 15

grs.

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11

67

oz.

3. From 8T. 13cwt. take 7cwt, lqr. 14lb. lloz.

Remain 8T. 5cwt. 2qr. 131b. 5oz. 4. A merchant bought a hogshead of sugar, containing 9cwt. 2qrs., and sold out of it 5cwt. 3qrs. 16lb. 8oz.; how much remained unsold ? Ans. 3cwt. 2qrs. 11lb. 8oz.

Apothecaries Weight.
dr.
3

3 3 19 8 6

4 1 17 35 7 4 1 14 9 11 5

1 2 13 17 10 7 1 13

lb.

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gr.

lb.

gr.

Cloth Measure.

yds. qr. na.
35 1 2
21 1

como

E. E.

qr. na. 457 3 1 291 3 2

E. FI. qr. na
756 1 3
149 2 1

4. Bought a piece of broadcloth, containing 29 yards 3 quarters 1 nail, and sold 9 yards 1 quarter 3 nails off of it ; how much remained unsold ? Ans. 20yds. Iqr. 2na:

Dry Measure.

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4. A farmer raised 96 bushels of wheat, and sold 38 bushels 3 pecks 4 quarts out of it; how much had he remaining ?

Ans. 59bu. Opk. 4qts. 5. Subtract 15 bushels 3 pecks 2 quarts 1 pint from 93 bushels, and how much will remain ?

Ans. 79bn. 5qts. 1 pint:

gai. qt. pt. ġi. 21 2 1 1 15 2 1 3

Wine Measure. hhd. gal. qt. pt. 13 0 1 0 10 59 3 1

wo er

T. hhd. gal. qt. pt.
5 3 20 3 1

2 27 0 0

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4. From 13hhds. 15 gallons, take 11 hhds. 20 gallons 3 quarts.

Remain ihhd. 57gal. Iqt. 5. From a hogshead of molasses, containing 63 gallons, a grocer sold 18 gallons 3 quarts i pint; how much remain ed in the hogshead?

Ans. 44gals. Ipt. Long Measure. yd. ft.

m. fur. 5 2 11 0

45 6 22 96 2 6 33 3 2 11 1 11 6 23 24 1

7 32

in.

bc.

m.

fur. po.

le.

po.

4. From 36 miles 5fur. 26 rods, take 15 miles 1 furlong 36 poles.

Ans. 21m. 3fur. 30 poles. 5. The distance from New London to Hartford is 42 miles. If a man start from New London and travel towards Hartford 18m. 5fur. 35 rods, how far will he then be from Hartford ?

Ans. 23m. 2fur. 5 rods.
Land or Square Measure.
À. roods.

sq. ft. sq. in.
39 2 10
45 2 17

339 141
24 1 26 26 1 36

29 142

A.

po.

4. From 17 acres 3qr. 35 rods, subtract 12 acres 2 roods 14 rods.

Remain 5A. 1 rood 2 1 rods. 5. If from an enclosure of 45 acres 3 roods and 26 po., there be taken 21 acres 2 roods 39 poles, how much will there be remaining?

Ans. 24A. Oqr. 27rds.
Solid or Cubic Measure.
Tuns. feet.
cords. feet.

Tons. feet. in.
114 26
82 113

48 16 140
109
39
31 120

15

14 145

4. From 2 tons 38 feet of hewn timber, take 1 ton 46 Teet 1536 inches.

Remain 41 feet 192in. 5. If from a parcel of wood containing 34 cords 96 feet, there be sold 28 cords 32 feet, how much will be left?

Ans. 6] cords. Time.

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3. From 94 years 134 days, subtract 25 years 156 days 5 hours 40 minutes. Remain 68yrs. 342da. 18h. 20m.

4. William's age is 16 years 3 months and 20 days, and

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