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Two-Distance Stage Position
Recover a floor-plan point from its distances to two marked baseline points.
Baseline A–B (m): 0.01–1000; Distance from A (m): 0.01–1000; Distance from B (m): 0.01–1000
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Two-Distance Stage Position
Baseline A–B (m): 6 Distance from A (m): 5 Distance from B (m): 5
- X from A toward B (m)
- 3.000000
- Y on chosen side (m)
- 4.000000
Set A=(0,0), B=(d,0); measured distances are a and b. X=(a²−b²+d²)/(2d), Y=√(a²−X²). Lengths must satisfy |a−b| ≤ d ≤ a+b. We return the nonnegative Y solution; the other point is (X,−Y). X can lie outside the baseline. Tangency gives Y=0. Use coplanar horizontal distances, not sloping tape lengths. Near-collinear layouts amplify measurement error. This is geometric layout assistance, not elevation, obstruction or rigging design.
Methodology
How it works
Set A=(0,0), B=(d,0); measured distances are a and b. X=(a²−b²+d²)/(2d), Y=√(a²−X²). Lengths must satisfy |a−b| ≤ d ≤ a+b. We return the nonnegative Y solution; the other point is (X,−Y). X can lie outside the baseline. Tangency gives Y=0. Use coplanar horizontal distances, not sloping tape lengths. Near-collinear layouts amplify measurement error. This is geometric layout assistance, not elevation, obstruction or rigging design.
Method and assumptions documented by Techrider.live
2026-11-14
Frequently asked questions
Which side of the baseline is correct?
Two distances cannot distinguish the mirrored points. Choose and mark the intended side on site; verify with a third measurement. Collinear data gives only one point.