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One of the Lehmann's rules of plane tabling, is
- a)location of the instrument station is alwaysdistant from each of the three rays from theknown points in proportion to theirdistances
- b)When looking in the direction of each ofthe given points, the instrument station willbe on the right side of one and left side ofthe other ray
- c)when the instrument station is outside thecircumscribing circle its location is alwayson the opposite side of the ray to the mostdistant point as the inter section of the othertwo rays
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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One of the Lehmanns rules of plane tabling, isa)location of the instru...
Lehmann's Rules of Plane Tabling
Introduction:
Lehmann's rules of plane tabling are a set of guidelines used in the field of surveying and mapping to ensure accurate and reliable measurements and observations. These rules were developed by Dr. F. R. Lehmann, a renowned geodesist and surveyor, and are widely used in plane table surveying techniques. One of the important rules is discussed below.
Rule (A): Location of the Instrument Station
The correct answer to the given question is option 'A': "The location of the instrument station is always distant from each of the three rays from the known points in proportion to their distances."
Explanation:
- The instrument station is the point where the surveying instrument, such as a plane table, theodolite, or total station, is set up for taking observations and measurements.
- According to Lehmann's rule, the instrument station should be located in such a way that it is equidistant from each of the three rays drawn from the known points.
- The distance between the instrument station and each of the known points should be proportional to the distances between the known points themselves.
- This rule ensures that the instrument station is positioned in a way that allows for accurate angular and linear measurements from the known points to be taken.
- By following this rule, the surveyor can minimize errors and improve the overall accuracy of the surveying data.
Example:
To understand this rule better, consider a scenario where three known points A, B, and C are given, and the surveyor needs to determine the location of the instrument station.
1. Draw rays from each known point to the instrument station candidate point, P.
2. Measure the distances between the known points A, B, and C and determine their relative proportions.
3. Position the instrument station P in such a way that the distances between P and each of the known points are proportional to the distances between the known points themselves.
4. This means that if the distance between A and B is twice the distance between B and C, then the distance between P and A should also be twice the distance between P and B.
Conclusion:
Lehmann's rule of plane tabling states that the location of the instrument station should be distant from each of the three rays drawn from the known points in proportion to their distances. Following this rule ensures accurate measurements and improves the overall quality of surveying data.
Introduction:
Lehmann's rules of plane tabling are a set of guidelines used in the field of surveying and mapping to ensure accurate and reliable measurements and observations. These rules were developed by Dr. F. R. Lehmann, a renowned geodesist and surveyor, and are widely used in plane table surveying techniques. One of the important rules is discussed below.
Rule (A): Location of the Instrument Station
The correct answer to the given question is option 'A': "The location of the instrument station is always distant from each of the three rays from the known points in proportion to their distances."
Explanation:
- The instrument station is the point where the surveying instrument, such as a plane table, theodolite, or total station, is set up for taking observations and measurements.
- According to Lehmann's rule, the instrument station should be located in such a way that it is equidistant from each of the three rays drawn from the known points.
- The distance between the instrument station and each of the known points should be proportional to the distances between the known points themselves.
- This rule ensures that the instrument station is positioned in a way that allows for accurate angular and linear measurements from the known points to be taken.
- By following this rule, the surveyor can minimize errors and improve the overall accuracy of the surveying data.
Example:
To understand this rule better, consider a scenario where three known points A, B, and C are given, and the surveyor needs to determine the location of the instrument station.
1. Draw rays from each known point to the instrument station candidate point, P.
2. Measure the distances between the known points A, B, and C and determine their relative proportions.
3. Position the instrument station P in such a way that the distances between P and each of the known points are proportional to the distances between the known points themselves.
4. This means that if the distance between A and B is twice the distance between B and C, then the distance between P and A should also be twice the distance between P and B.
Conclusion:
Lehmann's rule of plane tabling states that the location of the instrument station should be distant from each of the three rays drawn from the known points in proportion to their distances. Following this rule ensures accurate measurements and improves the overall quality of surveying data.
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One of the Lehmanns rules of plane tabling, isa)location of the instrument station is alwaysdistant from each of the three rays from theknown points in proportion to theirdistancesb)When looking in the direction of each ofthe given points, the instrument station willbe on the right side of one and left side ofthe other rayc)when the instrument station is outside thecircumscribing circle its location is alwayson the opposite side of the ray to the mostdistant point as the inter section of the othertwo raysd)none of theseCorrect answer is option 'A'. Can you explain this answer?
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