Create a cross section of a cone.[br][br]Explore the construction and learn how to create a cross section by intersecting a cone and a plane with [i]3D [/i]in [i][url=https://www.geogebra.org/calculator][i]GeoGebra Calculator Suite[/i][/url][/i]. Then try it yourself by following the instructions below.

[table][tr][td]1.[/td][td] [/td][td]Open the [i]Tools [i]View[/i].[/i][/td][/tr][tr][td]2.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_point.png[/icon][/td][td]Select the [i]Point [/i]tool and create points [i]A=(0,0,0)[/i] and [i]B=(0,0,4)[/i].[/td][/tr][tr][td]3.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_cone.png[/icon][/td][td]Select the [i]Cone [/i]tool[i],[/i] select first the bottom point [i]A[/i], then the top point [i]B [/i]and enter 3 in the appearing dialog for the radius.[br][/td][/tr][tr][td]4.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Select the [i]Move [/i]tool and explore your constructed cone.[/td][/tr][tr][td]5.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_point.png[/icon][/td][td]Select the [i]Point [/i]tool and create 3 new points [i]C[/i], [i]D [/i]and [i]E[/i] (one point on every axis).[/td][/tr][tr][td]6.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_planethreepoint.png[/icon][/td][td]Select the [i]Plane through 3 Points [/i]tool [i][/i]and select the points [i]C[/i], [i]D [/i]and [i]E[/i].[/td][/tr][tr][td]7.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Select the [i]Move [/i]tool and drag the points to change the plane. [/td][/tr][tr][td]8.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersectioncurve.png[/icon][/td][td]Select the [i]Intersect Two Surfaces [/i]tool and then select the cone and the plane. [/td][/tr][tr][td][/td][td][br][/td][td][b]Note:[/b] If you're using the [i]GeoGebra 3D Calculator[/i] Online App, you can also explore your construction in the [i]2D View[/i]. Click on the plane, select the [i]More [/i]button to open the context menu and select [i]Create 2D view from d[/i] to explore the cross section in the [i]2D View[/i]. [br][/td][/tr][/table]

If you're using the [i]3D Calculator [/i]in [i]GeoGebra Calculator Suite[/i]on a mobile device you can switch to [i]AR mode[/i] to place your created math objects on any flat surface (e.g. table, floor, ...) around you and walk around them. Explore your constructions from a new perspective!