Creating a Lofted surface through a curve and tangent to a surface

Given a a curve a and a surface, like the ones in the following illustration:



You may need to create a surface tangent to the existing surface and through the curve:



You can proceed as described below.

1 Load file "DesignAids_UC_tang.e3" and start the Tangent Plane command.
 
2 Select the First Point on the curve as shown in the illustration below:


 
3 In the First U mini-dialog box, set the value to 0 (i.e: the first end point of the curve).


 
4 Select the Second Point on the surface as shown in the illustration below:


 
5 When the preview is displayed, under More Options set Second surface vector to Tangent V


 
6 The preview changes as follows:



Double-click on the handle shown in the following illustration to invert the orientation of the line:



and you will get the following:


 
7 Uncheck the With plane box to get a clearer view of the tangent line to the curve and to the surface:


 
8 Select to create the line


 
9 Now you can go on creating new lines just by modifying the value in the First U mini-dialog box:



and selecting :



Go on supplying new values. The higher the number of lines you create, the more accurate the resulting surface you will obtain as a result.
10 Once you have created a certain number of lines:



start the Lofted Surface command:



and select the lines (clicking close to their upper end point) as Boundary Set A:


 
11 Select to create the surface and quit the command.