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a special projection

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I want to do a special projection.
 
 X is a curve on surface C.
 
Image.png
 
 X is projected to surface B by "Along Surface Normal", giving Y.
 
Image.png
 
● Law Extension surface is created on Y and 90° to surface B, and intersect with surface A, giving Z.
 
Image.png
 
Is it possible to go from curve X to curve Z in one step? Thanks!

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