The amount of work that ADSK has done in the IDW environment to speed up drawing placement and view refresh I am amazed that you can even get a Center-Line to pick geometry in a separate view.
Nothing stopping you from dragging a line over to another view, just don't expect Inventor to hold the endpoint fixed when you break the object.
If you could look at your drawing view from the edge you would understand what I mean. If you have something like a 3D mouse you can sometimes get the IDW environment to be viewed from its edges (side, top or bottom) and you would understand.
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