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Running a Closed Traverse
Mark

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Mark

23. 9월 2026FI
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Running a Closed Traverse

A plane table maps what it can see from a couple of stations. To survey a whole site — round a building, through woodland, along a boundary — you walk a chain of stations from one to the next, measuring the length of each leg and the angle at each corner, and finish back where you began. The reason it closes is the reason anyone trusts it. You know in advance what the angles of a closed polygon must add up to, and you know the trip must end at its own starting point. Both are checks nature provides for free, and the difference between what you measured and what must be true is your error — measured, not estimated. This rung is the arithmetic heart of surveying. It is also where a survey stops being a collection of readings and becomes a set of coordinates you can build from.
고급
2 days

안내

1

Choose and mark the stations

Pick stations that are intervisible, on firm ground, safe to stand on, and as few as the site allows. Drive a peg with a nail in its head at each, and number them. Fewer, longer legs are better than many short ones: angular error enters once per station, so every extra corner is another chance to be wrong, while a longer leg costs you nothing extra in angle. Mark them well enough to find again — a survey you cannot reoccupy cannot be extended or checked.

이 단계의 재료:

나무못나무못12 개
아연 도금 못아연 도금 못20 개

필요한 도구:

못뽑이 망치못뽑이 망치
측량 깃발과 핀 키트측량 깃발과 핀 키트
2

Measure every leg twice, in both directions

Tape each leg forwards and then backwards. The two should agree to within about a thousandth of the length; if they do not, measure again before moving on. A blunder in a distance — a whole tape length missed, a misread metre — is the single most damaging error in a traverse, and unlike small random errors it cannot be adjusted away. It is also the easiest to catch, because a blunder never repeats identically. Measuring twice costs minutes; finding a 30-metre blunder after you have plotted everything costs the whole day.

필요한 도구:

줄자줄자
3

Measure the angle at each station, both faces

At each station sight back to the previous one and forward to the next, and read the included angle. Then invert the telescope, swing it through, and read the same angle on the other face. Averaging the two faces cancels most of the instrument's own mechanical errors in one move — it is the angular equivalent of balancing the sights when levelling. Always turn the angle the same way around the traverse, clockwise or anticlockwise, and never mix the two: it is a mistake that produces perfectly plausible numbers.

필요한 도구:

경사계가 달린 나침반(Brunton 형)경사계가 달린 나침반(Brunton 형)
카메라 삼각대카메라 삼각대
4

Check the angles before you leave

The interior angles of a closed polygon with n sides must sum to (n-2)×180 degrees. Add yours up on the spot. If the sum is out by more than a small tolerance, one angle is wrong, and you are still standing on the site where it can be remeasured. Doing this check at the desk that evening means going back. This is the same principle as the co-spot and the control slide in the two batches before this one: build the check into the work, not after it.
5

Reduce the traverse to coordinates

Jupyter 노트북 불러오는 중…
6

Plot it and look at it

Plot the adjusted coordinates on squared paper at a sensible scale, and compare the shape with the site you just walked. Coordinates are easy to get wrong in ways arithmetic checks cannot catch — a bearing carried the wrong way, an angle used as exterior instead of interior — and every one of those produces a plot that looks obviously wrong to anyone who was there. This is the plane table's lesson applied in reverse: draw it, because your eyes check things no column of figures can.

이 단계의 재료:

모눈종이모눈종이10 개

필요한 도구:

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재료

3
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필요 도구

7

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