The following applet illustrates a special [b][color=#ff00ff]hyperboloid of 1 sheet[/color][/b]. The equation of this particular hyperbola is [math]\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}{b^2}=1[/math][color=#000000]. [br][br][/color][b]Note: This applet will only work if the [/b][b]white point is on the right branch of the hyperbolic cross section. Feel free to move this point wherever you'd like. [br][br][/b]You can also adjust the values of the parameters [i]a[/i] and [i]b[/i] using the sliders. [br][br]How does the action you see here compare with the action seen [url=https://www.geogebra.org/m/u3Gay8Dp]here[/url]? [br][br][b][color=#9900ff]To explore in Augmented Reality, see the directions below the applet. [/color][/b]

1) Open up GeoGebra 3D app on your device. [br][br]2) Go to MENU, OPEN. Under SEARCH, type [b]pPHpF3cN[br][/b] Note this code can be seen in the URL for this resource. [br][br]3) You can move the [b]LARGE WHITE POINT[/b] anywhere on the hyperboloid you would like prior to selecting[br] the AR button (i.e. prior to putting this hyperboloid in AR). [br][br] [b]The n slider shows the animation. [br] The d slider controls the angle of the black (2D) hyperbola. [br] The a and b sliders control the parameters of the equation of this hyperboloid of 1 sheet. [/b]