# OBLIQUE CONE

ianmacedo shared this question 9 years ago

How can I make an OBLIQUE CONE in Geogebra 3D?

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Hi,

Oblique cone is not implemented : you have to parametrize it with Surface[ ] command.

Cheers,

Mathieu

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Which is the cone's parametric equation?

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Will oblique cone be implemented in the future?

I used a commercial software with this function: Cone[circle, point]; veri simple in use and very general s results.

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I like this idea of the Cone[circle, point] function. I am trying to have students explore Cavalieri's Principle. I would like them to be able to move the apex of the cone, and have geogebra calculate the cone's volume. At first, I would have them move the apex on a fixed plane parallel to the base of the cone. I would have students construct cross sections at stated heights. They would notice that the cross sections always have the same area, and the volume of the cone remains invariant.

Next, I would have students detach the apex from the plane, and notice that the cross sections they had previously created change. What is more, the volume of the cone changes (which would be intuitively obvious, since detaching the apex and moving it changes the height of the cone).

I get the feeling that I may need to use calculus to program GeoGebra to calculate the volume of the cone. Does anyone have thoughts on this activity?

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Hi, I've tried to make a personnal tool with inputs : a 3D circle and a point, but i can't, i let you the file used. The harder is to found the center of the circle and points of the circle. (Point[c] gives only one, and Radius[c] gives the radius).

Cheers.

Michel

https://ggbm.at/562573

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open the file

create three points

select the tool

click on points like for angle

if you want other say it

Files: foro.ggb