(10.) Equivalent Values of a Circle.* circle. degrees. leagues. miles. furlongs. poles. 13608340-25020-200160-8006400=44035200

feet.

inches.

barley corns.

=132105600=1585267200=4755801600; hence,

degree. circle. lea. circle. mile. circle. fur.

yards.

yard.

1=

circle.

foot.

circle.

inch.

circle.

bar.corn.

72035200; 1= 132103600; 1 = 1585267200; 1

circle.

4733801600.

*This should have been adjusted with Table 11, Long Measure, but was left out for want of room in the length of the page.

= 320 1760 = 5280 = 63360 = 190080

sq. perches. square yards.

4

6 = 8

=

1호

=

2 =

3

=

(13.) Liquid Measure.

pints.

gills.

T. pipes. punch'ns. hhgs'ds. tierces. barrels. hlf.bar's. gals. quarts. 1 = 2 = 3 = = 16=252-1008-2016=8064

=

= 8=126= 504 =1008=4032

1

84
1

=

=

=

63

136

1

=

=

=

=

=

1008 = 304 = 336 = 32 = 188 = 16 = 65==
2016-1008- 672 = 304 338 23r=128 } = }} =
8064-4032=2888-2016-1344-1008-304-32

=

8 = 32

= 36518766=525960=31557600

4

301 =7301= 43830 = 2629800

168 10080 = 604800

year.

months.

1 = 12

12

= 1

=

=

112

= 1

=

7

487

323760= 43830 =10080 1340 =

31637800=2823800=803800=8etoo-3000

=

=

=

60

3600

= 24 = 1440 =

DIRECTIONS.

tion will be found in the same line, but on ITS left. The and on Irs right; the value of a UNIT in a higher denominawill be found in the same line in which IT (the unit,) stands, ING and DESCENDING value of a UNIT, of any particular DEthe teacher as well as the learner. They show the ASCENDdeal of care, and will be found convenient, for reference, to The preceding TABLES have been prepared with a great The value of a UNIT in a lower denomination,

NOMINATION.

we

denomination of the UNIT, and that of each of its equivalent values, is marked at the top of the perpendicular column in which either of them stands. Suppose we wish to find the equivalent value of 1 cent in Eagles, we first look at the top of the Table (marked FEDERAL MONEY,) for the denomination of CENTS, and, having found it, we run the eye down the column (marked cts.,) till we find 1 (one,) and because the denomination of EAGLES is greater than that of CENTS, follow the line in which IT stands towards the left, till we come under the denomination of EAGLES, and here we find Togo, i. e., the thousandth part of an EAGLE, which is the value of a cent REQUIRED. In the same manner, if we look towards the right, we shall find that 1 cent is equal to 10 mills, and that 1 dollar equals 1 of an Eagle, 100 cents, or 1000 mills; and that 1 Eagle is equal to 10 dollars, 100 dimes, 1000 cents, or 10000 mills. Again, (in Table 13, LIQUID MEASURE,) we find that 1 quart equals the To part of a tun, the part of a tierce, the part of a hogshead, or the of a pipe, and in Table 11, LONG MEASURE, we find that 1 yard equals the of a mile, the of a furlong, or 36 inches, and in the same way the different values of any other unit may be found by looking at the proper TABLE. The scholar should not depend on the TABLES exclusively for finding the equivalent values of a unit, but exercise his own mind in determining these values, using the TABLES as a matter of convenience, rather than as a substitute for his own lack of knowledge in making the necessary calculations.

Σ

008

REDUCTION OF FEDERAL MONEY.

It is evident, from what has been said, that the denominations in FEDERAL MONEY, proceed in a tenfold ratio i. e., that TEN of any lower denomination will make ONE of the next higher, and hence, the ratio of increase, or decrease, is the same as that which obtains between the different orders of units in whole numbers, with this difference only, that proper names are applied to each order of units, from the first to the fourth, in the former case, which are not found in the latter; e. g., the first order of units in Federal money, is called MILLS, the second CENTS, the third DIMES, the fourth DOLLARS, and the fifth EAGLES. Now, as the value of any