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    nykkyo's Avatar
    nykkyo Posts: 132, Reputation: 1
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    #1

    Aug 31, 2013, 10:34 PM
    Conic sections
    How can a circular conic section belong to thr same plane as an elliptical conic section?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Sep 3, 2013, 10:06 AM
    Hint: note that a circle is the special case of an ellipse with equal length major and minor axis. So you can cut the cone with a plane perpendicular to the axis to get a circle, and also say the result is an ellipse.
    nykkyo's Avatar
    nykkyo Posts: 132, Reputation: 1
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    #3

    Sep 3, 2013, 07:33 PM
    Quote Originally Posted by ebaines View Post
    Hint: note that a circle is the special case of an ellipse with equal length major and minor axis. So you can cut the cone with a plane perpendicular to the axis to get a circle, and also say the result is an ellipse.
    I think for this to happen the comon plane must cut two rotated cones
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #4

    Sep 4, 2013, 05:30 AM
    Quote Originally Posted by nykkyo View Post
    I think for this to happen the comon plane must cut two rotated cones
    Yes, that would do it.
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