Curve: Create Hyperbola 2D

 

 

 

 

Function

Create independent Hyperbolas of the edge type.  It is only applicable on the Work Plane.

 

 

 

 

Call

Geometry > Curve > Create on WP > Hyperbola

 

 

 

 

<Hyperbola>

Location

Enter the coordinates of the locations. The coordinates are expressed in different forms noted below.
 

Input Center Location

Specify the coordinates of the Center Location [(ABS x, y)] of a Hyperbola.
Input Apex and Orientation of Major Axis

Enter the coordinates of the Apex [(Length, Angle), (ABS x, y)] of the Hyperbola.  A straight line connecting the Center Location and the Apex becomes the Major Axis of the Hyperbola.  The asymptotes stemming from the Center Location form the maximum angles of ±45° with the Major Axis.
Input Length of Minor Axis

Enter a length of the Minor Axis, which is perpendicular to the Major axis, to define the range as to how close the Hyperbola approaches the asymptotes.  The increase in length beyond a certain magnitude will not result in the Hyperbola being any closer to the maximum range of the asymptotes’ angles of ±45° with the Major Axis.
Input Start Distance form Major Axis

Locate the Start point of the Hyperbola by specifying the Distance from the Major Axis.
Input End Distance form Major Axis

Locate the End point of the Hyperbola by specifying the Distance from the Major Axis.
 

<Method of Entering Coordinates>

ABS x, y

Enter 2-D coordinates for an absolute location on the Work Plane.
Length, Angle

Enter a distance from the last point entered and a rotational Angle (counterclockwise +) from the + X-direction on the Work Plane.
Length

Enter a length.
Distance

Enter a distance.

 

When we enter coordinates using the mouse, the coordinates are automatically entered by a left-click on the desired point, without having to press the Apply button.  However, when coordinates are typed in, either the Enter key or the Apply button needs to be pressed.

 

 

 

 

Notes

 

When 3-D coordinates are selected in 3-D space using Snap, the program will automatically project the point into 2-D coordinates of the Work Plane.

 

Example: Create 2D Hyperbola

2D Hyperbola

 

 

 

 

 

<Instruction>

 

1. Make sure that the dynamic instruction shows Input Start Center Location.

2. Enter (0, 0) in Location, and click [Apply] button.

3. Make sure that the method is set to Length, Angle.

4. Enter (2.5, 90) in Location, and click [Apply] button.

5. Make sure that the dynamic instruction shows Input Length of Minor Axis.

6. Enter 2 in Location, and click [Apply] or press [Enter] on the keyboard.

7. Make sure that the dynamic instruction shows Input Start Distance from Major Axis.

8. Enter 4 in Location, and click [Apply] or press [Enter] on the keyboard.

9. Make sure that the dynamic instruction shows Input End Distance from Major Axis.

10. Enter-4 in Location, and click [Apply] or press [Enter] on the keyboard.