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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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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

⚙️ TE • 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.

⚙️TETechnical SolutionConcept & Principle
💡 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.

🔢 Key Formulas

Ln=∑i=1nlicos⁡θiL_n = \sum_{i=1}^{n} l_i \cos \theta_iLn​=∑i=1n​li​cosθi​ — Total Latitude of point n

Dn=∑i=1nlisin⁡θiD_n = \sum_{i=1}^{n} l_i \sin \theta_iDn​=∑i=1n​li​sinθi​ — Total Departure of point n

⚙️ 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.

📌 Key Points
  • ▸

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

  • ▸

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

  • ▸

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

  • ▸

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

✅ Advantages
  • ▸

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

  • ▸

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

❌ Disadvantages / Limitations
  • ▸

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

  • ▸

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

🛠️ Applications / Uses
  • ▸

    Large-scale topographic mapping.

  • ▸

    Construction layout for civil engineering projects.

  • ▸

    GIS database integration.

📄 Additional Information
  • ▸

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

  • ▸

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

📊 Diagram / Illustration
Total Coordinate Principle∑_{i=1}ⁿ (Δ Latitudeᵢ, Δ Departureᵢ)Origin (0, 0) or Fixed Common Point
✅

D is correct — 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
💡 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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