The Include Geometry command lets you associatively copy existing model edges, 2D sketch geometry, and imported wireframe data into a 3D sketch.

After copying, you can connect new 3D sketch geometry to endpoints of the included geometry, which is converted to 3D geometry.
If you edit the original 2D geometry, the segments included in the 3D sketch also update. Included geometry remains in a 3D sketch even if the original geometry is deleted from the 2D sketch.
Use Include Geometry to copy edges in place and include them in a 3D sketch.

In a 3D sketch, you can also project points, curves, edges, or faces onto a surface or solid. The projected geometry is associative to the parent geometry and the projected face. Use Project to Surface to wrap geometry to a 3D face.
 Draw panel
 Draw panel   Include Geometry
  Include Geometry  .
.  Draw panel
 Draw panel   Project to Surface
 Project to Surface  .
. The Project Curve to Surface dialog box opens and the Faces selection tool is active by default. Faces lets you select one or more faces of a surface or solid on which to project geometry. Selections can include faces of surface bodies or solids, a part, or a work plane.
 . (Default) Projects the geometry along a specified vector. Allows you to also select a Direction for the vector.
. (Default) Projects the geometry along a specified vector. Allows you to also select a Direction for the vector. 
 . Projects along the surface normal to the closest point.
. Projects along the surface normal to the closest point. 
 . Wraps curves or points from a 2D sketch onto a developable face or faces. This type of projection preserves the curve length. The sketch must be tangent or parallel to a plane that is tangent to one of the selected faces. The wrap starts from the tangency. You can’t wrap 3D sketch curves and points, model edges, or surface edges.
. Wraps curves or points from a 2D sketch onto a developable face or faces. This type of projection preserves the curve length. The sketch must be tangent or parallel to a plane that is tangent to one of the selected faces. The wrap starts from the tangency. You can’t wrap 3D sketch curves and points, model edges, or surface edges. 
Curves selections can include 2D or 3D curves, vertices or work points, sketch points, or part or surface edges.
 Show Me How to Project a Curve Along a Vector
Show Me How to Project a Curve Along a Vector
 Show Me How to Project a Curve Normal to a Surface
Show Me How to Project a Curve Normal to a Surface
 Show Me How to Wrap a Curve Around a Surface
Show Me How to Wrap a Curve Around a Surface