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 Measurement of
    Tacheometric Constants

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 Theodolite
    Tachaeometry

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Measurements of Tacheometric Constants

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The values are usually given by the makers but this is not always the case. It is sometimes necessary to measure them in an old or unfamiliar instrument. The simplest way, both for external and internal focussing instruments, is to regrad the basic formula as being a linear one of the form:

D = Cs + k

  1. On a fairly level site chain out a line 100 to 120m long, setting pegs at 25 to 30 metre intervals.

  2. Set at up at one end and determine two distances using tacheometer or theodolite, one short and one long. hence C and K may be determined.

    i.e. D1 (known) = Cs1 (known) + k
      D2 (known) = Cs2 (known) + k

Distance
Readings
Intervals
  Upper Stadia Centre Lower Stadia Upper Lower Total
30.000 1.433 1.283 1.133 0.150 0.150 0.300
55.000 1.710 1.435 1.160 0.275 0.275 0.220
90.000 2.352 1.902 1.452 0.450 0.450 0.900

D =Cs + k

30.00 = 0.300 * C + k

90.00 = 0.900 * C + k

therefore C = 100 & K = 0

Any combination of equations gives the same result, showing that the telescope is anallatic over this range, to all intents and purposes.

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The Department of Geomatics
Maintained by:  Nicole Jones
Date Created:  October 1998