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# Derivation of Fa&Atilde;&sect;ade Equations - d B d...

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Derivation of Façade Equations The equations that the spreadsheet uses to reduce the data are easily derived. Starting with the three original taped measurements, c = Horizontal distance between theodolite locations. d A and d B are the horizontal perpendicular distances from base line to theodolite locations. = Vertical offset between theodolites From these we get δ = Horizontal offset =
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Unformatted text preview: d B- d A ε = Angular offset = arcsin ( δ /c) L = distance AA' between A & B parallel to baseline = c 2- δ 2 For each target P we have, α = horizontal angle at A from B to target θ = vertical angle at A from horizontal to target β = horizontal angle at B from A to target φ = vertical angle at B from horizontal to target....
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