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The Coordinates of a point with reference to the preceding point are called___
A) Consecutive Coordinates
B) Independent Coordinates
C) Total (latitude or departure)
D) None of the above
Consecutive Coordinates
Consecutive coordinates (also known as dependent coordinates) are the latitude and departure of a traverse line calculated with respect to the immediately preceding station. Latitude represents the north-south distance component, while departure represents the east-west distance component relative to the prior point.
Consecutive coordinates (also known as dependent coordinates) are the latitude and departure of a traverse line calculated with respect to the immediately preceding station. Latitude represents the north-south distance component, while departure represents the east-west distance component relative to the prior point.
Latitude=Lcos(╬╕) тАФ North-South projection relative to preceding point
Departure=Lsin(╬╕) тАФ East-West projection relative to preceding point
In traverse surveying, each station's relative position is determined sequentially using the length and reduced bearing of the connecting line. The latitude is computed as Lcos(╬╕) and the departure as Lsin(╬╕), where L is the line length and ╬╕ is the reduced bearing relative to the preceding point.
Consecutive coordinates are also referred to as dependent coordinates because they depend on the location of the previous survey station.
Independent coordinates (or total latitude and total departure) are referenced with respect to a single fixed common origin.
Simplifies local traverse computations line by line.
Allows easy checking of consecutive latitude and departure sum errors for closed traverses.
Error in one point propagates directly to all subsequent consecutive points.
Does not directly give the absolute global position without summing up from the origin.
Computation of closed and open traverse survey networks in theodolite surveying.
Calculation of interior area and closing errors in land surveying.
| Feature | Consecutive Coordinates | Independent Coordinates |
|---|---|---|
Reference Point | Immediately preceding station | Common fixed origin |
Alternative Name | Dependent Coordinates / Local Lat & Dep | Total Coordinates / Total Lat & Dep |
Independent coordinates of a station are obtained by algebraically adding the consecutive coordinates of all preceding lines to the coordinates of the initial station.
Option B is incorrect because independent coordinates are referenced to a common fixed origin, not the preceding point.
Option C is incorrect because total latitude or departure refers to the cumulative independent coordinates with respect to the origin.
A is correct тАФ The coordinates of a survey point measured relative to the preceding point are defined as consecutive coordinates.
Always remember: Consecutive coordinates depend on the previous point, whereas Independent coordinates depend on a fixed origin.