Extracting silhouettes

Is there any way to “project” silhouettes onto planes? This functionality would be very useful in accurately extruding and intersecting shapes. This would work like the opposite of the Drape tool, which projects 2D shapes onto 3D terrain contours. Here, one could go from 3D to 2D.
By using something akin to the shadow generation feature in SU, I’d like to be able to obtain the outlines of an object in X,Y and/or Z, or combinations thereof. The illustration below is self-explanatory,

Look at

which needs

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I wish all requests for help resulted in such exact solutions…
This is what was I was looking for, to a “T”.
Thanks a million.

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