Results 1 to 8 of 8

Thread: "figure" section

  1. #1
    Member
    Joined
    Dec 2017
    From
    Tel Aviv
    Posts
    133

    "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?
    Last edited by policer; Aug 22nd 2018 at 04:39 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2010
    Posts
    3,684
    Thanks
    1492

    Re: "figure" section

    Quote Originally Posted by policer View Post
    (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?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Dec 2017
    From
    Tel Aviv
    Posts
    133

    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?
    Last edited by policer; Aug 22nd 2018 at 05:03 AM.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Dec 2017
    From
    Tel Aviv
    Posts
    133

    Re: "figure" section

    the picture
    Attached Thumbnails Attached Thumbnails "figure" section-cone.png  
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Joined
    Nov 2010
    Posts
    3,684
    Thanks
    1492

    Re: "figure" section

    Quote Originally Posted by policer View Post
    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.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Member
    Joined
    Dec 2017
    From
    Tel Aviv
    Posts
    133

    Re: "figure" section

    thanks!!!!
    What figure I get by cutting dodecahedron figure?
    Last edited by policer; Aug 22nd 2018 at 05:54 AM.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    MHF Contributor
    Joined
    Nov 2010
    Posts
    3,684
    Thanks
    1492

    Re: "figure" section

    Quote Originally Posted by policer View Post
    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.
    Follow Math Help Forum on Facebook and Google+

  8. #8
    MHF Contributor
    Joined
    Feb 2015
    From
    Ottawa Ontario
    Posts
    1,955
    Thanks
    361

    Re: "figure" section

    Quote Originally Posted by policer View Post
    thanks!!!!
    What figure I get by cutting dodecahedron figure?
    WHY are you asking?
    Last edited by topsquark; Aug 23rd 2018 at 07:15 AM. Reason: Swearing
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: Feb 10th 2016, 05:25 AM
  2. Replies: 2
    Last Post: Apr 24th 2011, 07:01 AM
  3. Replies: 3
    Last Post: Feb 13th 2011, 07:33 PM
  4. Replies: 1
    Last Post: Oct 25th 2010, 04:45 AM
  5. Replies: 1
    Last Post: Aug 30th 2010, 02:18 PM

/mathhelpforum @mathhelpforum