ENJOY MATHEMATICS in 3D
Let's cut a solid!

Let's cut cones with a plane!


Cutting of a cone

Cutting a cone freely with a plane

Cut the cone freely with the plane. What kind of a cut surface figure is created? In addition to a circle, three kinds of cut surfaces appear. What forms do they have?

Cabri3D File Flash Movie

Cutting a cone freely with a plane parallel generating line

The plane is moved parallel to the generated line of the cone. How do the cone's cut surfaces created with the plane change?

Cabri3D File Flash Movie

Cutting two cones freely with a plane

Cut the two cones freely with the plane. What kind of a cut surface figure is created? In addition to a circle, three kinds of cut surfaces appear. What forms do they have?

Cabri3D File Flash Movie

Cutting two cones freely with a plane parallel to the generating line

The plane is moved parallel relative to the generating line of the cone. How do the cone's cut surfaces created by the plane change? The cut surfaces can only be created either in the upper cone or in the lower cone. Why?

Cabri3D File Flash Movie

Cutting two cones freely with a plane parallel to the generating line

The plane is moved parallel relative to the rotation axis of the cone. How do the cones' cut surfaces created by the plane change? The cut surfaces can only be created both in the upper cone and in the lower cone. Have you seen this cut surface anywhere?

Cabri3D File Flash Movie
Let's cut cubes with a plane! Let's cut spheres and cylinders with a plane! Let's cut cones with a plane!
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