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Loading. . Elementary Surveying. Area of a traverse. Rectangular coordinates of traverse stations. Using balanced latitudes and departures rectangular coordinates of traverse stations are identified as reckoned from a global or local reference axes

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Prepared by: Andre-Paul C. Ampong

## Elementary Surveying

Area of a traverse

### Rectangular coordinates of traverse stations

• Using balanced latitudes and departures rectangular coordinates of traverse stations are identified as reckoned from a global or local reference axes

• In state and provincial coordinate systems, the X-axis is of often the equator and the Y-axis is a meridian of the earth.

• However, especially for limited-scale surveys, the coordinate axes can be assumed

• For assumed axes, values are chosen such that the coordinates of all stations will be positive

Prepared by: Andre-Paul C. Ampong

+378.53

C

+52.23

+313.61

B

+250.73

-368.19

1000 N

500 E

A

D

+311.31

-7.60

-246.08

E

-524.27

-160.27

Prepared by: Andre-Paul C. Ampong

### Area by coordinates method

Prepared by: Andre-Paul C. Ampong

+378.53

C

+52.23

+313.61

1302.96 N

1192.14 E

B

1250.73 N

813.61 E

+250.73

-368.19

1000 N

500 E

A

934.77 N

1184.54 E

D

+311.31

-7.60

688.69 N

660.27 E

-246.08

E

-524.27

-160.27

Prepared by: Andre-Paul C. Ampong

1192.14

C

+52.23

813.61

1302.96 N

1192.14 E

B

1250.73 N

813.61 E

+250.73

500

1000 N

500 E

A

934.77 N

1184.54 E

D

+311.31

688.69 N

660.27 E

660.27

E

Prepared by: Andre-Paul C. Ampong

1192.14

C

+52.13

813.61

1302.96 N

1192.14 E

B

1250.73 N

813.61 E

+250.73

-368.19

500

1000 N

500 E

A

934.77 N

1184.54 E

1184.54

D

+311.31

688.69 N

660.27 E

-246.08

660.27

660.27

E

Prepared by: Andre-Paul C. Ampong

Prepared by: Andre-Paul C. Ampong

Prepared by: Andre-Paul C. Ampong

### Area by double meridian distance (DMD) method

D’

D

B’

B

MD

MERIDIAN

DISTANCE

C

A

A’

Prepared by: Andre-Paul C. Ampong

313.61

378.53

+52.23

313.61

+250.73

-368.19

7.60

+311.31

-246.08

160.27

524.27

Prepared by: Andre-Paul C. Ampong

### Area by double parallel distance (DPD) method

D

B

PD

PARALLEL

DISTANCE

A

D’

C

A’

B’

Prepared by: Andre-Paul C. Ampong

+378.53

52.23

+313.61

250.73

368.19

-7.60

311.31

246.08

246.08

-160.27

-524.27

Prepared by: Andre-Paul C. Ampong

### mindthreshold.wordpress.com

Prepared by: Andre-Paul C. Ampong