Get Help

Auto-suggest helps you quickly narrow down your search results by suggesting possible matches as you type.

Showing results for

- Community
- :
- PTC Mathcad
- :
- PTC Mathcad
- :
- Re: Cone, plane, parabola

Options

- Subscribe to RSS Feed
- Mark Topic as New
- Mark Topic as Read
- Float this Topic for Current User
- Bookmark
- Subscribe
- Printer Friendly Page

Auto-suggest helps you quickly narrow down your search results by suggesting possible matches as you type.

Showing results for

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Permalink
- Email to a Friend
- Notify Moderator

01-08-2020
02:49 PM

01-08-2020
02:49 PM

Cone, plane, parabola

With cone? plane and ellipse all is cleare.

See please cone, plane, parabola

Thanks!

And what about a parabola?

I know O-F - can I calculate the theta?

Can the cone axis goes through the focus of the parabola?

Labels:

1 REPLY 1

Highlighted
##

- Mark as New
- Bookmark
- Subscribe
- Subscribe to RSS Feed
- Permalink
- Email to a Friend
- Notify Moderator

01-08-2020
02:58 PM

01-08-2020
02:58 PM

Re: Cone, plane, parabola

Same answers (no to both questions) as in the other thread, same way to see/prove it - Dandelin sqpere - there is only one in case of a parobola and it still touches the plane at the focal point of the parabola which can't be on the axis (as we would have a circle as intersection in that case and not a parabola.

With given plane, O and F you can put a Dandelin-sphere of any radius touching the plane in F. Depending on the radius of the sphere you get cones with different angles.

Your angle theta can be simply calculated by theta=arctan(OF/r) when r is the radius of the Dandelin-sphere which you can freely chose.