Drawing a Curved Line Between Two Points

This task shows the various methods for creating lines:

• point-point
• point-direction
• angle/normal to curve
• tangent to curve
• normal to surface

• bisecting

It also shows you how to create a line up to an element, define the length type and automatically reselect the second point.

Open the Lines1.CATPart document.

A new lock button is available besides the Line type to prevent an automatic change of the type while selecting the geometry. Simply click it so that the lock turns red .
For instance, if you choose the Point-Point type, you are not able to select a line. May you want to select a line, choose another type in the combo list. The status of this button is stored as the default value: therefore, if it is red and you launch the same command again or another command owning this button, the button will be red too. If the input is selected automatically, when we change the type, the input will not be transferred to the new type. For example, if we select Point-Point in Line type and Work on support is active, it is selected
as input for support automatically. This support feature would not be transferred, if we change line type to Point-Direction.

Defining the line type

Point-Point

1. Click Line .

   The Line Definition dialog box is displayed.

2. Select the Point-Point line type.

   

3. Select two points.

   A line is displayed between the two points.

4. If needed, select a support surface.

5. Specify the Start and End points of the new line, that is the line endpoint location in relation to the points initially selected.

   These Start and End points are necessarily beyond the selected points, meaning the line cannot be shorter than the distance between the initial points.

6. Check Mirrored extent to create a line symmetrically in relation to the selected Start and End points.

   The projections of the 3D point(s) must already exist on the selected support.

7. Click OK to create the line.

   The line (identified as Line.xxx) is added to the specification tree.

Point - Direction

1. Click Line .

2. Select the Point-Direction line type.

   

3. Select a reference Point and a Direction line.

   A vector parallel to the direction line is displayed at the reference point. Proposed Start and End points of the new line are shown.

4. If needed, select a support surface. In this case a geodesic line is created, i.e. the direction of the
   created line corresponds to the projection of the given direction onto the support.

5. Specify the Start and End points of the new line.

   The corresponding line is displayed.

6. Click OK to create the line.

   The line (identified as Line.xxx) is added to the specification tree.

Angle/Normal to curve

1. Click Line .

2. Select the Angle/Normal to curve line type.

   

3. Select a reference Curve and a Support surface containing that curve.

   If the selected curve is planar, then the Support is set to Default (Plane). If an explicit Support has been defined, a contextual menu is available to clear the selection.
   	We advise you to avoid the creation of lines when the direction does not lie on the support, as well as the edition of the angle between the direction and the support in such cases.

4. Select a Point.

5. Enter an Angle value.

   A line is displayed at the given angle with respect to the tangent to the reference curve at the selected point. These elements are displayed in the plane tangent to the surface at the selected point. You can click on the Normal to Curve button to specify an angle of 90 degrees. Proposed Start and End points of the line are shown.

6. Specify the Start and End points of the new line.

   The corresponding line is displayed.

7. Check Repeat object after OK if you wish to create more lines with the same definition as the currently created line.

   In this case, the Object Repetition dialog box is displayed, and you key in the number of instances to be created before pressing OK.
   As many lines as indicated in the dialog box are created, each separated from the initial line by a multiple of the angle value.
   You can check Geometry on Support if you want to create a geodesic line onto a support surface. The figure below illustrates this case.
   Geometry on support option not checked
   Geometry on support option checked
   	This line type enables to edit the line's parameters. Refer to Editing Parameters to find out more.

8. Click OK to create the line.

   The line (identified as Line.xxx) is added to the specification tree.

Tangent to curve

1. Click Line .

2. Select the Tangent to curve line type.

   

3. Select a reference Curve and a point or another Curve to define the tangency.

4. Specify the Start and End points to define the new line.

5. Click OK to create the line.
   
   In the image above we select a curve and a point as Element 2.

   The line (identified as Line.xxx) is added to the specification tree.

Normal to surface

1. Click Line .

2. Select the Normal to surface line type.

   

3. Select a reference Surface and a Point.

   A vector normal to the surface is displayed at the reference point. Proposed Start and End points of the new line are shown.

   If the point does not lie on the support surface, the minimum distance between the point and the surface is computed, and the vector normal to the surface is displayed at the resulted reference point.

4. Specify Start and End points to define the new line.

   The corresponding line is displayed.

5. Click OK to create the line.

   The line (identified as Line.xxx) is added to the specification tree.

Bisecting

1. Click Line .

2. Select the Bisecting line type.

   

3. Select two lines. Their bisecting line is the line splitting in two equals parts the angle between these two lines.

4. Select a point as the starting point for the line. By default it is the intersection of the bisecting line and the first selected line.

5. Select the support surface onto which the bisecting line is to be projected, if needed.

6. Specify the line's length by defining Start and End values (these values are based onto the default start and end points of the line).

   The corresponding bisecting line, is displayed.

7. You can choose between two solutions, using the Next Solution button, or directly clicking the numbered arrows in the geometry.

   

8. Click OK to create the line.

   The line (identified as Line.xxx) is added to the specification tree.

Regardless of the line type, Start and End values are specified by entering distance values or by using the graphic manipulators. Start and End values should not be the same. Check the Mirrored extent option to create a line symmetrically in relation to the selected Start point. It is only available with the Length Length type. In most cases, you can select a support on which the line is to be created. In this case, the selected point(s) is projected onto this support. You can reverse the direction of the line by either clicking the displayed vector or selecting the Reverse Direction button (not available with the point-point line type). Parameters can be edited in the 3D geometry. For more information, refer to the Editing Parameters. You can isolate a line in order to cut the links it has with the geometry used to create it. To do so, use the Isolate contextual menu. For more information, refer to the Isolating Geometric Elements.

You cannot create a line of which points have a distance lower than the resolution.

Creating a line up to an element

This capability allows you to create a line up to a point, a curve, or a surface.

It is available with all line types, but the Tangent to curve type.

Up to a point

• Select a point in the Up-to 1 and/or Up-to 2 fields.

  Here is an example with the Bisecting line type, the Length Length type, and a point as Up-to 2 element.

Up to a curve

• Select a curve in the Up-to 1 and/or Up-to 2 fields.

  Here is an example with the Point-Point line type, the Infinite End Length type, and a curve as the Up-to 1 element.

Up to a surface

• Select a surface in the Up-to 1 and/or Up-to 2 fields.

  Here is an example with the Point-Direction line type, the Length Length type, and the surface as the Up-to 2 element.

If the selected Up-to element does not intersect with the line being created, then an extrapolation is performed. It is only possible if the element is linear and lies on the same plane as the line being created. However, no extrapolation is performed if the Up-to element is a curve or a surface. The Up-to 1 and Up-to 2 fields are grayed out with the Infinite Length type, the Up-to 1 field is grayed out with the Infinite Start Length type, the Up-to 2 field is grayed out with the Infinite End Length type. The Up-to 1 field is grayed out if the Mirrored extent option is checked.

Defining the length type

• Select the Length Type:
  • Length: the line will be defined according to the Start and End points values
  • Infinite: the line will be infinite
  • Infinite Start Point: the line will be infinite from the Start point
  • Infinite End Point: the line will be infinite from the End point

By default, the Length type is selected. The Start and/or the End points values will be grayed out when one of the Infinite options is chosen.

Reselecting automatically a second point

This capability is only available with the Point-Point line method.

1. Double-click Line .

   The Line Definition dialog box is displayed.

2. Create the first point.

   The Reselect Second Point at next start option appears in the Line Definition dialog box.

3. Check it to be able to later reuse the second point.

4. Create the second point.

5. Click OK to create the first line.

   The Line Definition dialog box opens again with the first point initialized with the second point of the first line.

6. Click OK to create the second line.

Drawing a Curved Line Between Two Points

Source: http://catiadoc.free.fr/online/cfyug_C2/cfyugline3D.htm

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