# Special Hyperboloid of 1 Sheet as a Locus

- Author:
- Tim Brzezinski

The following applet illustrates a special .

**hyperboloid of 1 sheet**. The equation of this particular hyperbola is**Note: This applet will only work if the****white point is on the right branch of the hyperbolic cross section. Feel free to move this point wherever you'd like.**You can also adjust the values of the parameters*a*and*b*using the sliders. How does the action you see here compare with the action seen here?**To explore in Augmented Reality, see the directions below the applet.**## To Explore in Augmented Reality:

1) Open up GeoGebra 3D app on your device.
2) Go to MENU, OPEN. Under SEARCH, type

**pPHpF3cN**Note this code can be seen in the URL for this resource. 3) You can move the**LARGE WHITE POINT**anywhere on the hyperboloid you would like prior to selecting the AR button (i.e. prior to putting this hyperboloid in AR).**The n slider shows the animation. The d slider controls the angle of the black (2D) hyperbola. The a and b sliders control the parameters of the equation of this hyperboloid of 1 sheet.**