Conic sections

Task

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

1.		Select the Point tool and create two points A = (0, 0, 0) and B = (0, 0, 4).
2.		Enter `InfiniteCone(A, B - A, 30°)` into the Input Bar and hit the Enter key to create a cone.
		Enter `C = (-2, -4, 3)`, `D = (-1, 4, 3)` and `E = (4, -4, 1)` into the Input Bar to create three points.
3.		Create a plane through the points C, D and E by using the Plane through 3 Points tool and selecting the three points.
4.		Intersect the cone and the plane by using the Intersect Two Surfaces tool and successively click on the two objects to create the conic.
5.		Right-click the conic and select Create 2D view from c in the appearing context menu.
		Hint: Reduce the size of the appearing view and use the Move Graphics View tool to center the conic.
6.		Enhance your construction using the Style Bar.