1. ## "figure" section

(1) Why (or why not) cone with conic section can be replace by another figure with another plane section?
(2) Is it meaningless the another figure?
If it meaningless: Can you describe to me why it is meaningless?
(3) Can I cut the figure by non-flat plane?

2. ## Re: "figure" section

Originally Posted by policer
(1) Why (or why not) cone with conic section can be replace by another figure with another plane section?
(2) Is it meaningless the another figure?
If it meaningless: Can you describe to me why it is meaningless?
(3) Can I cut the figure by non-flat plane?
I am not sure what you are asking. Please clarify. Maybe show the work you have done so far to help us understand what you mean?

3. ## Re: "figure" section

In the picture I have a cones that cut by plane.
(1) The cuts call conic section, and they are: ellipse, circle, hyperbola, parabola.
(a) If I change the cone by another body can I get cuts like in the cone and the cuts, then the change have meaning?
If I change the plane and the cone (or the plane alone) by non-flat plane in the way that described in (1), the change have meaning?

the picture

5. ## Re: "figure" section

Originally Posted by policer
In the picture I have a cones that cut by plane.
(1) The cuts call conic section, and they are: ellipse, circle, hyperbola, parabola.
(a) If I change the cone by another body can I get cuts like in the cone and the cuts, then the change have meaning?
If I change the plane and the cone (or the plane alone) by non-flat plane in the way that described in (1), the change have meaning?
I do not believe it is possible to generate a comprehensive list of all possible surfaces that will yield ellipses, circles, hyperbolas, or parabolas by cuts with planes. For example, a cylinder can produce circles and ellipses but not parabolas or hyperbolas. Spheres can produce circles. Parabolic bowls can produce parabolas and hyperbolas.

6. ## Re: "figure" section

thanks!!!!
What figure I get by cutting dodecahedron figure?

7. ## Re: "figure" section

Originally Posted by policer
thanks!!!!
What figure I get by cutting dodecahedron figure?
You can get a hexagon, a triangle, and I don't know what else. I haven't thought about it much.

8. ## Re: "figure" section

Originally Posted by policer
thanks!!!!
What figure I get by cutting dodecahedron figure?