CIRCULAR MOTION.

1. Add together 4S. 146 18' 10", 5S. 19° 46' 12", 1.S. 60 10' 17', and 4S. 280 17' 14". Ans. 16S. 80 31' 53".

EXPLANATIONS.

S. o

"

4 14 18 10 5 19 46 12

1 6 10 17 · 4 28 17 14

Begin, as before, at the right hand column, and add the seconds; divide the amount by 60, because sixty seconds are equal to one minute; set down the remainder, but in this example the whole amount, 53, is not equal to one minute, therefore, you 16 8 31 53 must set down the 53, and carry

nothing to the column of minutes. Add the minutes ; divide the amount by 60, because sixty minutes are equal to one degree; set down the remainder, and carry the quotient to the column of degrees. Add the degrees; divide the amount by 30, because thirty degrees are equal to one sign; set down the remainder, and carry the quotient to the column of signs. Add the signs, and set down the whole amount, as in Simple Addition, because sign is the highest denomination in circular motion.

PAPER.

1. Add together 19ba. 4bun. 1r. 18q. 16s., 24ba. 3bun. 14q. 12s., 36ba. 2bun. 1r. 17q. 19s., and 48ba. 1bun. 1r. 12q. 22s. Ans. 129ba. 3bun. Or. 3q. 21s.

EXPLANATIONS.

Begin, as before, at the right hand column, and add the sheets; divide the amount by 24, because twenty-four sheets are equal to one quire; set down the remainder, and carry the quotient to the column of quires.

Add the 129 3 0 3 21

quires; divide the amount by 20, because twenty quires are equal to one ream; set down the remainder, and carry the quotient to the column of reams. Add the reams; divide the amount by 2, because two reams are equal to one bundle; set down the remainder, but in this example there is no remainder, therefore, you must set down a cipher, and carry the quotient to the column of bundles. Add the bundles; divide the amount by 5, because five bundles are equal to one bale; set down the remainder, and carry the quotient to the bales. Add the bales, and set down the whole amount, because bale is the highest denomination in

(2.) ba.bun.r. q. S. 29 1 1 13 16 38 4 0 16 19 14 2 1 15 21 56 3 0 14 17 17 2 1 13 23

paper.

EXAMPLES

For Practical Exercise.

1. A gentleman paid $325,37,5 for a coach, $275, 37,5 for a span of fine horses, and $75,25 for a set of harness; how much did he pay for all? Ans. $676.

2. James lent William at one time $15,25, at another $36,75, at another $75, and at another $25,37,5; how much did he lend him in all? Ans. $152,37,5.

3. A merchant deposited in the bank £125 6s. 7d. 2qr. at one time, £275 13s. 4d. 2qr. at another, and £5635 at another time; how much did he deposite in all? Ans. £6036.

4. George is 12yr. 3mo. 3w. 8d. old, William is 14yr. 7mo. 1w. 20d. old, Stephen is 9yr. 1mo. old, and Peter is 8yr. old; what is the sum of all their ages? Ans. 44yr.

5. A merchant bought 2cwt. 3qr. 14lb. of tea, 1cwt. 2qr. 23lb. 8oz. 8dr. of coffee, 5cwt. 14lb. of sugar, and 1qr. 4lb. 7oz. Sdr. of rice; what was the weight of the whole? Ans. 10cwt.

6. A physician bought drugs of an apothecary at one time, weighing 25 63 23 13 18gr., at another 4b 53 53 19 2gr., and at another time 8b; how much did he buy in all? Ans. 38.

7. A silversmith bought 3 ingots of silver; the first weighed 6lb. 4oz. 14pwt. 19gr., the second 4lb. 8oz. 17pwt. 22gr., and the third weighed 5lb. 6oz. 8pwt. 17gr.; what was the weight of the whole? Ans. 16/b. 8oz. 1pwt. 10gr.

8. A merchant bought of one farmer 17bu. 2p. 6qt. Ipt. of wheat, of another 12bu. 1p. 1qt. 1pt., of another

25bu. 1p., and of another 74bu. 3p.; how much did he buy in all? Ans. 130bu.

9. An innkeeper bought of a grocer 17gal. 3qt. 1pt. 3gi. of rum, 26gal. 1qt. of brandy, 10gal. 1pt. 1gi. of wine, and 29gal. 3qt. 1pt. of gin; how much did he buy in all? Ans. 84gal. Iqt.

10. A man travelled 25m. 5fur. 17rd. in one day, 36m. 2fur. 23rd. in another, and 38m. in another day; how far did he travel in all? Ans. 100m.

11. A farmer bought 4 farms; the first contained 115a. 1r. 10po., the second 160a. 2r. 30po., the third 210a. 3r. 20po., and the fourth contained 215a. 20po.; how many acres did he buy in all? Ans. 702a.

12. A man brought 4 loads of wood to market; the first contained 1C. 63ft. 864in., the second 2C. 32ft. 864in., the third 1C. 34ft. 724in., and the fourth contained 1C. 93ft. 1004in.; how many cords did he bring in all? Ans. 6C. 96ft.

13. A merchant bought 5 pieces of cloth; the first contained 36yd. 3qr. Ina., the second 24yd. 2qr. 3na., the third 23yd. 3qr. Ina., the fourth 21yd. 1qr. 3na., and the fifth contained 19yd. 1gr.; how many yards did he buy in all? Ans. 126yd.

14. A papermaker sold to a printer at one time 24bun. 1r. 16q., at another 36bun. 14q., at another 39bun. 1r. 10q., and at another time 41bun. 1r.; how much did he sell him in all? Ans. 142bun. 1r.

Note.-TO TEACHERS. The learner should be questioned as often as once in each day respecting the nature and principles of the rules, and should not be permitted o commence a new sum, or engage in a new rule, until he is fully and thoroughly acquainted with the principles of the rule in which he has been working.

COMPOUND SUBSTRACTION.

Q. What is COMPOUND SUBSTRACTION? A. Compound Substraction teaches to take a small number, or quantity, from a greater, of different denominations.

EXAMPLES

For Mental Exercise.

1. If you have twelve cents and five mills, and pay nine cents for an inkstand; how many cents will you have left?

2. James bought a penknife for twelve cents and five mills, and sold it for eighteen cents and five mills; how many cents did he make by the sale?

3. William paid twelve dollars and seventy-five cents for a coat, and four dollars and twenty-five cents for a hat; how much did he pay for his coat more than for his hat?

4. George has four dollars and thirty-seven cents and five mills, and Thomas has nine dollars and thirty-seven cents and five mills; how many dollars has Thomas more than George?

5. Rufus gave two shillings and six pence for a book, and one shilling and three pence for a slate; how much did he pay for the book more than for the slate?

6. Jane went to the store with six shillings. She paid four shillings for calico, and nine pence for riband; how much had she left?