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How can I find the midpoint (along the curve) of a set of polylines using ArcObjects?

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There are probably several ways to do this but here is one that should work:

  1. Union the input polylines into a single geometry using ITopologicalOperator.Union
  2. Cast the resulting geometry to ICurve and call ICurve.QueryPoint with DistanceAlongCurve = 0.5 and asRatio = true. Note: this method will likely throw an error if the geometries are disjointed.
  3. Do what you need with the output IPoint
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