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196. This table is used in measuring distances and lines. The yard is the primary unit.

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SURVEYORS' MEASURE.

197. Used in measuring land.

The unit is a Gunter's chain which is equal to 66 feet. It is divided into 100 equal parts called links.

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MEASURES OF SURFACE.

DEFINITIONS.

198. A Surface is a magnitude that has length and breadth, without thickness.

199. An Angle is the opening between two lines that meet at a point; as, BAC. The lines AB and AC are called sides, and the point A is called the vertex of the angle.

If the angle BAD is equal to the angle BAC, BA is perpendicular to

A

B

ANGLE. Fig. 2.

B

D

A

DC, and the angles BAD and BAC RIGHT ANGLES. Fig. 1. are right angles.

200. A Square is a plane figure bounded by four equal sides, and whose angles are right angles; as Fig. 3.

201. A Rectangle is a plane figure whose opposite sides are equal, and whose angles are right L angles.

A square foot is a square K whose sides are each equal to one foot; a square yard is a square whose sides are each equal to 1 yard.

A

B

SQUARE. Fig. 3.

A

B

C

D

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The unit of measure of a surface is a square, one of whose sides is equal to the unit of length.

202. The Area of a surface is an expression for that surface in terms of a square unit. Figure 4 represents a square yard, each side of which is three feet long; the area is nine square feet.

The area of a square or rectangle is found by multiplying its length by its breadth.

SQUARE MEASURE.

Used for measuring surfaces.

TABLE.

144 square inches (sq. in.) make 1 square foot

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9 square feet

66

1 square yard.

sq. ft. sq.ft. sq. yd.

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This is used in finding the area of land.

TABLE.

10,000 square links (sq. li.) make 1 square chain. sq. ch.

10 square chains

A.

66

1 acre

66

1 square mile sq. mi.

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640 acres

In government surveys, a square mile is called a section, and 36 sections make a township.

MEASURE OF VOLUME AND CAPACITY.

203. A volume or solid is a magnitude that has length, breadth, and thickness or height.

204. A cube is a volume or solid bounded by six equal squares. The bounding squares are called faces. The sides of the squares are called edges of the cube.

205. A unit of volume is a cube whose edges are equal to a

CUBE.

unit of length.

CUBIC MEASURE.

PARALLELOPIPEDON.

206. This is used in measuring volumes or solids.

TABLE.

1728 cubic inches (cu. in.) make 1 cubic foot

27 cubic feet

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16 cubic feet (cu. ft.) make 1 cord foot

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DRY MEASURE.

207. This is used in measuring grain, fruit, salt,

etc.

The primary unit is 1 bushel. It is a cylindrical measure 18 inches across, and 8 inches deep; containing 2,150 cubic inches.

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208. This is used in measuring liquids.

The primary unit is 1 gallon. It contains 231 cubic

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ence; as, AED. Any part of the bounding line is called an arc; as, ED.

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