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5. Reduce 201632 gills to tuns.

Ans. 25tuns. 1gal.

6. Reduce 16128 gills of cider to tuns.

Ans. 2 tuns.

ALE OR BEER MEASURE.

87. Ale or beer measure is used in measuring ale, beer, and milk. Its denominations are hogsheads, barrels, gallons, quarts, and pints.

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NOTE.-A gallon, beer measure, contains 282 cubic inches.

QUESTIONS.

87. For what is ale or beer measure used? What are its denominations? Repeat the Table. How many cubic inches in a gallon, beer measure ?

EXAMPLES.

1. Reduce 47bar. 16gal. 4qt. to pints.

Ans. 13672pt.

2. In 27hhd. of beer, how many pints?

Ans. 11664. 3. In 55832 pints of beer, how many hogsheads?

Ans. 129hhd. 13gal.

4. In 64972 quarts of beer, how many barrels ?

Ans. 451bar. 7gal.

DRY MEASURE

88. Dry measure is used in measuring all dry articles, such as grain, fruits, roots, salt, coal, &c. Its denominations are chaldrons, bushels, pecks, quarts, and pints.

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NOTE.-A gallon dry measure contains 268 cubic inches. A Winchester bushel is 18 inches in diameter, 8 inches deep, and contains 2150 cubic inches.

QUESTIONS.

§ 88. What is the use of Dry measure? What are its denominations? Repeat the Table. What is the content of a gallon? How large is a Winchester bushel?

EXAMPLES.

1. In 372 bushels, how many pints?

Ans. 23808.

2. In 5 chaldrons 31 bushels, how many pecks?

Ans. 844.

3. In 17408 pints, how many bushels?

Ans. 272.

4. In 4220 pints, how many chaldrons ?

Ans. Ich. 29bu. 3pk. 6qt.

TIME.

89. The denominations of time are years, months, weeks, days, hours, minutes, and seconds.

60 seconds sec. make 1 minute,

marked m.

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13 mo. 1 day and 6 hrs. or 365 days, 6 hours yr. wk. da.

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1 hour,

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1 day,

hr.

1 week,

1 month,
1 common or
Julian year,

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mo.

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1-523651-8766=525960=31557600

1=7= 168= 10080= 604800

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The whole days only are reckoned. The odd six hours, by accumulating for 4 years, make one day, so that every fourth year contains 366 days. This is called the Bissextile, or Leap year.

When the Leap year occurs, the number of years up to that time is exactly divisible by 4. Thus 1800, 1804, 1808, 1812, 1816, 1820, 1824, 1828, and 1832 were all leap years.

The year is also divided into 12 calendar months, which contain an unequal number of days.

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The additional day, when it occurs, is added to the month of February, so that this month has 29 days in the Leap year.

Thirty days hath September,
April, June, and November;
All the rest have thirty-one,

Excepting February, twenty-eight alone.

QUESTIONS.

§ 89. What are the denominations of Time? How long is a year? How many days in a common year? How ma ny days in a leap year? How many calendar months in a year? Name them and the number of days in each. How many days has February in the leap year? How do you re. member which of the months have 30 days, and which 31 ?

EXAMPLES.

1. How many seconds in a year, or 365da. 6hr. ? 365da. 6hr.

24

1466

730

8766 hours.

60

525960 minutes.

60

Ans. 31557600 seconds.

2. In 12 years of 365da. 23hr. 57m. 39sec. each,

how many seconds?

Ans. 379467108sec.

3. In 49 weeks, how many

minutes?

Ans. 493920.

4. In 126230400 seconds, how many years of 365

days?

6|0)12623040|0

4×6=24

60)210384 0

{4)35064

6)8766 365)1461(4 1460

1

Ans. 4 years and 1 day.

5. In 756952018 seconds, how many years of 365

day's each?

Ans. 24yr. 1da. 26m. 58sec. 6. In 5927040 minutes how many weeks?

Ans. 588.

CIRCULAR MEASURE OR MOTION.

§ 90. Circular measure is used in estimating latitude and longitude, and also in_measuring the motions of the heavenly bodies. Every circle is sup posed to be divided into 360 equal parts, called de grees.

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