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From the Curve section of the action bar, click Curve Projection
.
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Select a curve as Element.
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Select a surface as Support.
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In the Direction area, select Selection in the Type box.
- Click Z to select the Z axis as direction.
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Click Apply.
The curve is projected on the surface. 
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In the Extrapolation area, select G1 for Start.
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Click Apply.
The start position of the projected curve is tangentially extrapolated.
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Select G1 also for End.
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Click Apply.
The end position of the projected curve is now also tangentially extrapolated.
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Select G2 for Start and End.
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Click OK.
The start and end position of the projected surface is extrapolated depending on curvature.
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