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CivilAdvanced Survey
PrevNext

How many methods are there for prolongation of a straight line?

A

2

B

3

C

4

D

1

Correct Answer

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

3

Quick Summary:

In surveying, the prolongation of a straight line using a theodolite is primarily achieved through three distinct methods: the Back-Sight and Fore-Sight method, the Double-Sight or Double-Reverse method, and the Running-Sight or Intermediate-Sight method.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

In surveying, the prolongation of a straight line using a theodolite is primarily achieved through three distinct methods: the Back-Sight and Fore-Sight method, the Double-Sight or Double-Reverse method, and the Running-Sight or Intermediate-Sight method.

ЁЯФв Key Formulas

Etotal=Ecoll+EhorizE_{total} = E_{coll} + E_{horiz}EtotalтАЛ=EcollтАЛ+EhorizтАЛ тАФ represents the summation of collimation and horizontal axis errors during prolongation.

тЪЩя╕П Working Principle

The three methods are: 1. The Back-Sight and Fore-Sight method (Standard), which involves plunging the telescope after sighting the back point. 2. The Double-Sight or Double-Reverse method, used to eliminate instrumental errors by performing two sets of readings with the face left and face right. 3. The Running-Sight or Intermediate-Sight method, used when multiple points are needed along the prolongation line where visibility is constrained.

ЁЯУМ Key Points
  • тЦ╕

    Prolongation is used to extend a survey line beyond existing points.

  • тЦ╕

    The Double-Reverse method is the most accurate as it minimizes effects of instrumental errors like non-perpendicularity of the transit axis.

  • тЦ╕

    Precise centering and leveling are prerequisites for all three methods.

тЬЕ Advantages
  • тЦ╕

    Enables continuous surveying over long distances.

  • тЦ╕

    Reduces cumulative errors when using proper techniques.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Susceptible to errors in centering if not performed meticulously.

  • тЦ╕

    Requires professional expertise to minimize index error.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Setting out road alignments.

  • тЦ╕

    Railway track alignment and survey.

  • тЦ╕

    Large-scale infrastructure layout.

ЁЯУД Additional Information
  • тЦ╕

    Other methods such as 'swinging the telescope' are sometimes categorized under these three main approaches based on their specific adjustments.

  • тЦ╕

    Option B (3) is correct because it covers the standard classification in classic surveying textbooks by authors like Punmia or Arora.

ЁЯУК Diagram / Illustration
Methods of Line ProlongationBack-SightMethodDouble-ReverseRunning-Sight
тЬЕ

B is correct тАФ There are three standard methods for the prolongation of a straight line using a theodolite: Back-sight/Fore-sight, Double-Reverse, and Running-sight.

Core Concepts Used
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Theodolite Surveying Line Prolongation Instrumental Error Elimination
ЁЯТб EXAM TIP

Always remember that the Double-Reverse method is the preferred field technique to negate the effect of index error in horizontal or vertical alignment.

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