Hi,
I am not sure if I fully understand what you need to do.
Does TransientGeometry.CurveCurveIntersection() help?
Here is a VBA example that is an update to one of the examples in the Programming help.
Public Sub DrawSketchLine()
' Check to make sure a sketch is open.
If Not TypeOf ThisApplication.activeEditObject Is PlanarSketch Then
MsgBox "A sketch must be active."
Exit Sub
End If
' Set a reference to the active sketch.
Dim oSketch As PlanarSketch
Set oSketch = ThisApplication.activeEditObject
' Set a reference to the transient geometry collection.
Dim oTransGeom As TransientGeometry
Set oTransGeom = ThisApplication.TransientGeometry
' Create a new transaction to wrap the construction of the three lines
' into a single undo.
Dim oTrans As Transaction
Set oTrans = ThisApplication.TransactionManager.StartTransaction( _
ThisApplication.ActiveDocument, _
"Create Triangle Sample")
Dim oLines(1 To 3) As SketchLine
Set oLines(1) = oSketch.SketchLines.AddByTwoPoints(oTransGeom.CreatePoint2d(0, 0), _
oTransGeom.CreatePoint2d(4, 0))
Set oLines(2) = oSketch.SketchLines.AddByTwoPoints(oLines(1).EndSketchPoint, _
oTransGeom.CreatePoint2d(2, 3))
Set oLines(3) = oSketch.SketchLines.AddByTwoPoints(oLines(2).EndSketchPoint, _
oTransGeom.CreatePoint2d(2, -2))
' End the transaction for the triangle.
oTrans.End
Dim olineSeg_1 As LineSegment
Set olineSeg_1 = oLines(1).Geometry3d
Dim olineSeg_2 As LineSegment
Set olineSeg_2 = oLines(3).Geometry3d
Dim objsEnum As ObjectsEnumerator
Set objsEnum = oTransGeom.CurveCurveIntersection(olineSeg_1, olineSeg_2)
End Sub
When I run that code the ObjectsEnumerator finds one point. (Screnshot below of the VBA Watch window.
Thanks,
Wayne

Wayne Brill
Developer Technical Services
Autodesk Developer Network