[color=#000000]The following applet illustrates a hyperboloid of 2 sheets. The equation of this particular hyperbola is [/color][math]\frac{x^2}{a^2}-\frac{y^2}{b^2}-\frac{z^2}{b^2}=1[/math][color=#000000]. [br][/color][br][b]Note: This applet will only work if the[/b] [b][color=#1e84cc]blue point[/color][/b] [b]is on the sheet containing V_2.[/b] [br][br]V_1, V_2 = vertices[br]F_1, F_2 = foci[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=#1e84cc]To explore in Augmented Reality, see the directions below this applet. [/color][/b]
1) Open up GeoGebra 3D app on your device. [br][br]2) Go to MENU (3 horizontal bars in upper left hand corner). [br][br]3) Select OPEN. Under search, type the ID of this resource (from URL): EqPEJXKw[br][br]4) The [b]a[/b] and [b]b[/b] sliders control the overall shape and appearance of this hyperboloid of 2 sheets. [br] Slide the slider [b]h[/b] to animate the geometric property.