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Making a curve with constant slope
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Not sure if this is a very elegant solution, but in case it's of use, here's a screencast of a method to give a spline a constant 3D slope (well, almost constant, based on a couple of quick checks).
Summary: create a pipe with a square profile, add a variable fillet to one of the long edges of the pipe, a face with a constant slope (just about) results; unstitch that face, offset it to put it back in line with the sketch curve, and then create a pipe along the edge.
(The last bit of the screencast is just me adding a pipe in the sketch plane for comparison.)