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I probably have a visualization deficit; i.e., it's very difficult for me to envision the end result of what I intend to build when it involves more than straight lines.  Consequently, I try to find ways to create a 1:1 representation of what I'm making in a mock-up form.

 

For a 16' bowed curve, I'd lay two pieces of plywood end-to-end; buy sectional track in the approximate diameters of the compound curves I'll be using; and, lay the various diameters of sectional track on the plywood in varying combinations to achieve the desired cosmetic look consistent with operational requirements.  This would be done in segments and ultimately the segments would be joined to yield the "final" or close approximation, to the "final" cut.

 

The sectional curved track pieces may represent some additional cost, but for a major element of a layout it's worth it, IMHO.  Good luck with your project. 

I think I know what you mean.  You want to create a bow in front the arc being equal on both sides from the widest point.  Put your plywood down. Put a nail on the farthest point out, and one on each of the lowest point on both sides.  Take a small piece of wood trim. like a piece of base shoe is best, the length you need to make the bow and connect the dots so to speak.  Fix it in place, then mark the outline with a pencil or marker and cut it.  Perfect bow.

I thought he wanted to know a practical way to cut a bow in his layout, not read a useless attachment.  If it's over 16', like you said, get a 16' piece of finger jointed primed base shoe, it should be less than five bucks, arch it, and then fix it with the nails at both ends, then finish the pattern to your ends with a straight edge like a level or square.  Perfect bow or arch.  I've cut my share.  Bow, meaning like a bow window outways from a wall or archtop window top to bottom.  For the geometrically challenged.

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