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*The 12 solar months (constituting what is called the solar year of 365 days) are, January, February, March, April. May, June, July, August, September, October, November and December. Thirty days bath Steinber, April, June and November; February twenty-eight alone, and all the rest have thirty-one." Any year that can be divided by 4 without a remainder is bissextile or leap year, in which February has 29 days.

TABLES of the former Currencies of the United States and those of England, Ireland, &c. with the proportions which each bears to all the others and to Federal Money.

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Proportions between figures and dimenfions of different kinds; or values of one figure or dimention compared with

another.

PARTS of a CIRCLE, reduced to different parts of a Circle, Square, &c.

TABLE 16.

To an equal circle's

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Side of anisd.of sq.

equal sq inscribd.

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SQUARE. 1 length x 1 breadth=1 area.
TRIANGLE. 1 base x perpendicular➡ larea.
-POLYGON. 1 circumference x di 1 area,
ELLIPSIS. 1 length x 1 breadth x ,7853981 area.

ANY FIGURE. 1 mean distance round x 1 lg-area or surface.

A SOLID. 1 mean area x1 lg=1 sol X-
eqaul Globe's diameter.

1

5236 & 3d root sqd

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POLYGONS of equal sides & angles. SOLIDS whose sides & heights are

1 side x 1 side x,433013

area of a trigon ofs

1-x1-x1, area of a tetragon of 4

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-x 6,181827- —enneagon, 9, -x 7,694209--decagon, 10

-x 9,361endecagon, 11.

-x 11,196-dodecagon, 12

GLOBE. 1 cir. x 1 di area x

5--

equal to those of a CUBE of which a triangular prism is IT ΙΣΤ of a cylinder.

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di.sol. or cube of di. x.5236-sol.

SPHEROID. 1 cir. x 1 diarea x di sol. or sq of di x lg. x,5236-sol.

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The fpecific gravity of feveral kinds of fubftance compared with pure water, of which one cubic foot weighs 999,55+ oz. avordupois weight; fo,001 ft weighs 1, oz. nearly.

TABLE 17. No. of times No of quait. & qual heavier than times of substances

quant. & qual pure water orlight'r|| of substances. wt. in oz. avor nanS.

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-standard silver

rose copper

-copper

-plate brass -steel

--cast brass -iron

-block tin

-cast iron

-lead ore -copper ore -diamond -chrystal glass -white marble -black marble -rock chystal -green glass clear glass --flint stone

-paving -cornelian

-free -brick

19 637,962001 ft of allum
18 888 1 --ebony

No of times No. of heavier than times pure water or lighter wt.in oz.avr.han S.

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cowder substanc. S

1,745 6,037

1,714 6,146

1,117 9.431

17-793 1,061 --human blood

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9.000 2,09-oil of amber

,978 10.772

8843 2,13-proof spirits

,925 11,389

,925 11,389

,913 11,539

17.140 1,100-amber
13.600 1,390-cow's milk
11.325 1,667-sea water
11-087 1.703-pure cold water
10:535 1,79-red wine

8.000 2,301-dry oak
7.852 2,403 --olive oil
7.850 2,406-loose gunpowder ,872 12,082
7 645 2,470-spirit of turpentine ,864 12,193
7.321 2,580---alcohol or pure spir. ,850, 12,394
7.135 2,647-elm and ash
6.800 2,777--oil of turpentine
3.775 5,003-dry crab tree
3.400 5,555 ether
3.150 5,996 ---W white pine

,800; 13,169

,772 13,646

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18.

1900 9,941---Mars
187510,073 ---Moon

1-82510,349 ---Jupiter

1 800 19,493--Saturn

25.948

VELOCITY OF MOTION. In 1 second sound uninterrupted

moves1142 feet, a cannon ball 660. In sec dense bodies fall 1 ft, in 4ft, in 9ft, in 1 s 16 ft, &c. Velocity of the Planets in or it In 1 sec Mercury moves 30,459 miles, Venus 22,295, the Earth 18,948, 15,351, Jupiter 8,308, Saturn 6,111, Herschel 4.444.

Mars

To express the value of figures by words.

RULE. To the fimple value of each figure apply the name of the place which it occupies, to this number annex the denomination in which the fum is given or expreffed.

EXAMPLES.

6

How may 63074,55 $ be expreffed by words? A. fix0 7 4,

3

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5

ty-three thousand feventy-four Dollars, five-tenths and ,05

5

5

5 5

five hundredths, or five dimes and five cents, or fifty five cts.

How may 90. 16. 11d. 3f. be expreffed by words?

16

S.

11

d.

*9 0 3 f. A. ninety-pounds fixteen fhillings eleven pence three farthings.

There is a positive relation existing between all different lengths, between different surfaces or areas, between the contents of all kinds of substance, between different measures of time, motion, &c. i.e. every length (whether inches, feet, yds. lines, -or- -) is longer or shorter than any other length, every surface larger or smaller than any other surface, every substance or cubic contents less or greater than any oth er solidity, every weight heavier or lighter than any other weight, eve. ry value more or less than any other value, a certain number of times or parts of a time; hence we compare,

Length with length; as, in. ft, yd. with Ch. rods, miles, &c. the di. ameter of a circle with its circumference, with the side of a square,&c. Surface with surface; as, square inches, rods, acres, with square feet, yd, ch, &c. the area of a circle, with that of a square, with a square diameter or circumference, &c.

Substance with substance; as cubic inches, feet, pints, bushels, with quarts, pecks, gallons &c (whether wet or dry, strong or weak ;) the Solidity of a globe, cube, cylinder with that of a cone, prism, spheroid, &c. oz, lb, qr, with lb, pwt, gr, &c, (whether fine or coarse, medical or agricultural,) d, c, with £, s, d, &c. (whether real or imaginary, forcign or domestic) A thing or substance, of a certain weight, contains a certain quantity of matter, these [viz. weight & size] determine the specific gravity of that kind of substance, and every thing is worth a certain price (for some purpose or other ;) so the weight, size and value of any substance, might be compared with that of any other, provided this value could be determined; as the specific gravity and valuė of gold, silver, copper, brass, with that of water, gold, silver,&c.

Time with time; as, h, mn, sec, with the time in which the earth moves leagues, mi, deg, &c. in its annual and didrnal motion. A thing

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