Intersect an infinite cone with a plane to create a conic section and move the plane to explore the different types of conic sections.

[table][tr][td][size=100]1.[/size][/td][td][icon]/images/ggb/toolbar/mode_point.png[/icon][br][/td][td]Select the [i]Point[/i] tool and create two points [i]A = (0, 0, 0)[/i] and [i]B = (0, 0, 4)[/i]. [br][/td][/tr][tr][td][size=100]2.[/size][/td][td][size=100][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][/size][/td][td]Enter [code]InfiniteCone(A, B - A, 30°) [br][/code]into the[i] Input Bar[/i] and hit the [i]Enter[/i] key to create a cone.[/td][/tr][tr][td][size=100][/size][/td][td][size=100][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][/size][br][/td][td]Enter [code]C = (-2, -4, 3)[/code],[code] [/code][code]D = (-1, 4, 3) [/code]and [code]E = (4, -4, 1) [/code]into the [i]Input Bar[/i] to create three points. [br][/td][/tr][tr][td][size=100]3.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_planethreepoint.png[/icon][/size][/td][td]Create a plane through the points [i]C[/i], [i]D[/i] and [i]E[/i] by using the [i]Plane through 3 Points[/i] tool and selecting the three points. [br][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersectioncurve.png[/icon][/size][/td][td]Intersect the cone and the plane by using the [i]Intersect Two Surfaces[/i] tool and successively click on the two objects to create the conic.[br][/td][/tr][tr][td][size=100]5.[/size][/td][td][size=100][/size][/td][td]Right-click the conic and select [i]Create 2D view from c[/i] in the appearing context menu. [br][/td][/tr][tr][td][size=100][/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_translateview.png[/icon][/size][/td][td][b]Hint:[/b] Reduce the size of the appearing view and use the [i]Move Graphics View[/i] tool to center the conic.[/td][/tr][tr][td][size=100]6.[/size][/td][td][size=100][img]https://wiki.geogebra.org/uploads/thumb/c/c5/Stylingbar_icon_graphics3D.svg/32px-Stylingbar_icon_graphics3D.svg.png[/img][/size][/td][td][size=100]Enhance your construction using the [i]Style Bar[/i].[br][/size][/td][/tr][/table]