Creating Conic Curves

To create conic using two points and start and end tangent, you can use the Two Points option in the Sketch tool toolbar.

1. Click Conic in the Profile toolbar (Conic sub-toolbar).

2. Select Two Points in the Sketch tools toolbar.

3. Click to indicate the Start Point of the curve: H=20mm, V=20mm.

   
   
   

4. Type in the Sketch tools toolbar for the Start Tangent point: H=30mm, V=50mm and press Enter.

   
   
   

   The start point and tangent have been created.

   
   
   

5. Click to indicate the End Point of the curve: H=90mm, V=10mm.

   
   
   

6. Type in the Sketch tools toolbar for the End Tangent point: Angle=120deg, and H=70mm, and press Enter.

   
   
   

   Note: With a parameter :

   
   

   • If parameter = 0.5, the resulting curve is a parabola.
   • If 0 < parameter < 0.5, the resulting curve is an arc of ellipse.
   • If 0.5 < parameter < 1, the resulting curve is a hyperbola.

7. Type in the Sketch tools toolbar for the parameter: Parameter=0.3 and press Enter.

   
   
   

   The conic is created.

   
   
   

8. Type in the Sketch tools toolbar for the parameter: H=50mm, V=40mm and press Enter.

   
   
   

   The conic is created.

   
   
   

To create conic using two points and tangent intersection point, you can use the Tangent Intersection Point command.

1. Click Conic .

2. Select Two Points .

3. Select Tangent Intersection Point .

4. Click to indicate the Start Point of the curve: H=20mm, V=20mm.

   
   
   

5. Click to indicate the End Point of the curve: H=90mm, V=10mm

   
   
   

6. Click to indicate the Tangent Intersection Point: H=60mm, V=60mm

   
   
   

   Note: With a parameter:

   
   

   • If parameter = 0.5, the resulting curve is a parabola.
   • If 0 < parameter < 0.5, the resulting curve is an arc of ellipse.
   • If 0.5 < parameter < 1, the resulting curve is a hyperbola.

7. Type in the Sketch tools toolbar for the parameter: Parameter=0.3 and press Enter.

   
   
   

   The conic is created.

   
   
   

8. Click to indicate the Passing Point: H=50mm, V=40mm. The conic is created.

   
   
   

To create conic using two points with the nearest end point mode, you can use the Nearest End Point command.

1. Create two lines, the first between H=10mm, V=0mm and H=40mm, V=60mm, and the second between H=90mm, V=0mm and H=90mm, V=40mm.

   
   
   

2. Click Conic .

3. Select Two Points .

4. Select Nearest End Point .

5. Click to indicate the Start Point of the curve: H=20mm, V=20mm.

   
   
   

6. Click to indicate the End Point of the curve: H=90mm, V=10mm.

   
   
   

7. Click to indicate the Passing Point: H=60mm, V=40mm.

   
   
   

   The conic is created. The tangents at the start and end points have been defined by the lines. The start and end points taken into account are the nearest extremities of the lines during the selection.

   
   
   

   When you redo the previous steps deactivating the Nearest End Point mode:
   

   • The tangents at the start and end points have been defined by the lines.

   • The start and end points taken into account are the selected points on the lines.

   
   
   

To create conic using four points with a tangency at passing point, you can use the Four Points command.

1. Click Conic .

2. Select Four Points .

3. Click to indicate the Start Point of the curve: H=20mm, V=20mm.

   
   
   

4. Type in the Sketch tools toolbar for the Start Tangent point: H=30mm, V=50mm and press Enter.

   
   
   

5. The start point and tangent have been created.

   
   
   

6. Click to indicate the End Point: H=90mm, V=10mm.

   
   
   

7. Select Start and End Tangent .

8. Click to indicate the First Point: H=60mm, V=50mm.

   
   
   

9. Type in the Sketch tools toolbar for the First Tangent point: H=90mm, V=50mm and press Enter.

   
   
   

10. Click to indicate the Second Point: H=100mm, V=40mm.

    
    
    

The conic is created. The defined tangent at the start point has been released and the construction line representing the tangent has been removed.

To create conic using five points, you can use the Five Points command.

1. Click Conic .

2. Select Five Points .

3. Click to indicate the Start Point: H=20mm, V=20mm.

   
   
   

4. Click to indicate the End Point: H=90mm, V=10mm.

   
   
   

5. Click to indicate the First Point: H=30mm, V=50mm.

   
   
   

6. Click to indicate the Second Point: H=60mm, V=50mm.

   
   
   

7. Click to indicate the Third Point: H=90mm, V=30mm.

   
   
   

   The conic is created.