COGO Pt. IV – Inversing and coordinates calculation [0:12]

Joseph V.R. Paiva PhD, PS, PE

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Once we have an adjusted traverse, first we need to understand that we’ve changed the lengths and directions of each line slightly. We do this with “inversing” to calculate the length and direction of each line, using the balanced latitudes and departures. This is an important concept to understand to be able to use the information on this control survey for other work that depends on the positions of each traverse point. Methods of inversing are then presented. Coverage is provided for determining the adjusted bearing or adjusted azimuth of each line. The process of computing coordinates of the traverse points is then presented, starting with a known or assumed set of coordinates. We conclude with an understanding of the notion that having coordinates or balanced latitudes and departures of a traverse are equivalent starting information for computing balanced lengths and directions, which can be applied to any line, even if not a traverse line. Running time 12 minutes.

You will learn…

  • What inversing is
  • Geometric concept and calculation method to determine the adjusted length of a traverse line, given balanced latitude and departure
  • Trigonometric concept and calculation method to determine the adjusted direction (bearing or azimuth) of a traverse line, given balanced latitude and departure
  • Given starting coordinates how to calculate the coordinates of the other points in the traverse
  • Concepts to understand that inversing can be done to determine the length and direction of any line as long as we start with the coordinates of the endpoints or the balanced latitude and departure of that line.

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