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CivilAdvanced Survey
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The Coordinates of a point with reference to the Common point are called __.

A

Consecutive Coordinates

B

Independent Coordinates

C

Total (Latitude or Departure)

D

Both B and C

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleCivilAdvanced Survey
Option D

Both B and C

Quick Summary:

In surveying, coordinates calculated with respect to a fixed common origin (datum) are known as Total Coordinates or Independent Coordinates. These coordinates represent the absolute position of a point relative to a survey's starting point, effectively summing all consecutive coordinate differences.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

In surveying, coordinates calculated with respect to a fixed common origin (datum) are known as Total Coordinates or Independent Coordinates. These coordinates represent the absolute position of a point relative to a survey's starting point, effectively summing all consecutive coordinate differences.

ЁЯФв Key Formulas

Ln=тИСi=1nlicosтБб╬╕iL_n = \sum_{i=1}^{n} l_i \cos \theta_iLnтАЛ=тИСi=1nтАЛliтАЛcos╬╕iтАЛ тАФ Total Latitude of point n

Dn=тИСi=1nlisinтБб╬╕iD_n = \sum_{i=1}^{n} l_i \sin \theta_iDnтАЛ=тИСi=1nтАЛliтАЛsin╬╕iтАЛ тАФ Total Departure of point n

тЪЩя╕П Working Principle

The principle relies on the summation of latitudes and departures relative to a survey station assumed as the origin. For a series of survey lines, the Total Coordinate of any point is the algebraic sum of the preceding consecutive coordinates (lengths and bearings) starting from the reference point.

ЁЯУМ Key Points
  • тЦ╕

    Independent coordinates represent the global position relative to a fixed datum.

  • тЦ╕

    Consecutive coordinates represent relative changes (╬ФL,╬ФD)\Delta L, \Delta D)╬ФL,╬ФD)between adjacent stations.

  • тЦ╕

    The process of calculating total coordinates from consecutive ones is a standard step in traverse adjustment.

  • тЦ╕

    Total coordinates are essential for plotting survey maps on a common coordinate system.

тЬЕ Advantages
  • тЦ╕

    Allows direct plotting of points on a grid without needing to re-calculate from the previous station.

  • тЦ╕

    Minimizes cumulative error propagation if calculated from a single fixed origin.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Requires an accurate, error-free initial survey of the starting coordinates.

  • тЦ╕

    Individual errors in intermediate traverse lines can affect the precision of subsequent points.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Large-scale topographic mapping.

  • тЦ╕

    Construction layout for civil engineering projects.

  • тЦ╕

    GIS database integration.

ЁЯУД Additional Information
  • тЦ╕

    Total coordinates are often referred to as 'Cartesian coordinates' in a survey context.

  • тЦ╕

    Consecutive coordinates are the individual latitude and departure of each survey leg.

ЁЯУК Diagram / Illustration
Total Coordinate PrincipleтИС_{i=1}тБ┐ (╬Ф Latitudeс╡в, ╬Ф Departureс╡в)Origin (0, 0) or Fixed Common Point
тЬЕ

D is correct тАФ Total coordinates (or Independent coordinates) are computed relative to a fixed common origin by summing up the consecutive coordinate components.

Core Concepts Used
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Surveying Traverses Latitude and Departure Coordinate Systems
ЁЯТб EXAM TIP

Always verify if your traverse is open or closed when calculating total coordinates; in a closed traverse, the sum of total coordinates must return to the origin within the allowable closing error limits.

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