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The number of days in the 12 calendar months, is thus found:
Thirty days are in September,
April, June, and November;

February hath twenty-eight alone,
And all the rest have thirty-one.

Note. Every fourth year is called bissextile, or leap-year, in which February has twenty-nine days.

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This relates to the measure of circles.

The denominations are, circles, (or revolutions) signs, degrees, minutes, and seconds.

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This is used for measuring wine, spirits, cider, beer, &c. The denominations are, tuns, pipes or butts, hogsheads, barrels, gallons, quarts, pints, and gills.

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Note. By a law of Pennsylvania, 32 gallons make a barrel, and

16 gallons make a half barrel.

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

The denominations are, bushels, pecks, quarts, and pints.

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COMPOUND SUBTRACTION is the taking a lesser number from a greater, of divers denominations, and thereby finding the difference.

RULE.

Set down the lesser number under the greater, as in compound addition. Then beginning with the lowest number, subtract as in subtraction of whole numbers: when the lower number is greater than the upper, take it from as many of that denomination as will make one of the greater, and to the remainder add the upper number, set down the amount and carry one to the next, and so proceed till all are subtracted.

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Promiscuous Questions in Compound Addition and
Subtraction.

1. A merchant bought five pieces of linen, containing as follows: No. 1, 36 yards 3 quarters 2 nails; No. 2, 45 yards 1 quarter 3 nails; No. 3, 48 yards 2 quarters 1 nail; No. 4, 52 yards 3 nails; No. 5, 64 yards 2 quarters; how many yards were in all? Ans. 247yds. 2qr. Ina. 2. Sold 5 head of beef cattle, at the following prices, viz: the first for 61. 28. 4d. the second for 51. 10s. 94d. the third for 71. the fourth for 87. 10s. 6d. the 5th for 91. 2s. 6d. and received 221. 10s. 6d. in ready payment, and a note for the remainder; how much did the cattle cost, and for how much was the note given?

Ans. The cattle cost 367. 6s. 11⁄2d. and the note was for 131. 15s. 74d.

3. A silversmith bought 26lb. 9oz. 10dwt. of silver, and wrought up 187b. 16dwt. 10gr. how much has he left? Ans. 8lb. 8oz. 13dwt. 14gr. 4. A physician bought 67b. 10oz. 6dr. 2sc. (apothecaries' weight) of medicine, and has used 4lb. 5oz. 4dr. 1sc. 17gr. what quantity has he yet remaining?

Ans. 2lv. 5oz. 2dr. Osc. 3gr.

5. William was born on the 15th day of January, 1816, at 6 o'clock in the morning, and Charles was born on the 20th of March, 1817, at 9 in the evening; how much older Is William than Charles? Ans. 1 year, 2mo. 5d. 15h.

6. An innkeeper bought four loads of hay, weighing as following, viz. first load, 18 hundred 2 quarters and 14 lb. second load, 16 hundred 3 quarters 18 lb. third load, 22 hundred and 24 lb. fourth load, 24 hundred and 1 quarter · ow much hay in all? Ans. 4 tons 2 hundred. 7. From a piece of broadcloth which at first measured yds. I sold to A 5 yds. to B 64, to C 74, to D a quan not recollected, and to E just half as much as to D; on suring the remainder, I found there was 20 yds. left; many yards did D and E each receive?

Ans. D 10, and E 5 yds. A wine merchant bought 1 pipe 2 hhds. and 3 qr. of wine, each 26 galls.; of these he sold 1 hhd. and isks; he also found that the pipe had leaked 17 galls. aining hogshead 11, and the cask 5; how many did he buy, and how many had he left?

Ans. Bought 330 galls. left 181 galls. ght 4 pieces of cloth, the two first measured 9 Ells na. each, and the two last 8 Ells Fr. 2 qr. 3 na. ese I sold 40 yards; how much have I left? Ans. 13 y. 2 qr. 2 na.

SECTION 4.

OF COMPOUND MULTIPLICATION.

COMPOUND MULTIPLICATION teaches to multiply any given quantities or numbers of divers denominations.

Case 1.

When the multiplier does not exceed 12.

RULE.

Begin by multiplying the lowest number first, as in integers; divide the product by that number which will make one of the greater: Set down the remainder, if any, and carry the quotient to the next number.

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When the multiplier exceeds 12, but is the exact product

of any two factors in the table.

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