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The most interesting intersections of cone are its planar sections (intersections with a plane). These sections are called "conic"
The figures can be
1) dot - for plane going through apex
2) two lines - for plane containing cone axis
3) one line - for plane going through apex and touching the cone
3) circle - for plane orthogonal to cone axis
4) ellipsis - for plane that intersects the cone axis and generating lines
5) parabola - for plane parallel to a generating line
4) hyperbola - other cases
See wikipedia's "conic section" article
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∙ 13y ago
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What shape is formed by the intersection of a cone and a plane that is parallel to a cone's base not containing the cone's vertex?
The shape described by the intersection of the cone and the plane is simply a circle.
What type of geometric figure is formed by the intersection of two lines?
it is the difference of the edges that contract the same sides. so the answer is line point
If a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe what shape is produced?
If a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe, the shape produced is a line. Not asked, but... If the angle of the plane is less than the angle of the cone, then the intersection is a point. If the angle of the plane is greater than the angle of the cone, then the intersection is two lines intersecting at the vertex. If the plane insersects at other than the vertex, then the intersection is a circle when the plane is perpendicular to the cone's axis, an ellipse when the plane's angle is less than the cone's angle, a parabola when the planes's angle equals the cone's angle, and two hyperbole's in the last case.
What is a 3d cone called?
The cone IS a 3d figure.
The figure formed by the intersection of a solid with a plane parallel to the base of the solid is congruent to the base if the solid is a?
The answer would be a right cylinder. A right cylinder is a cylinder that has a closed circular surface having two parallel bases on both the ends and whose elements are perpendicular to its base.
What is the figure called formed by the intersection of a right circular cone and a plane that lies parallel to the edge of the cone?
A parabola is the figure formed by the intersection of a circular cone and a plane that lies parallel to the edge of the cone. (the cone does not have to be a right [90°] circular cone).
A figure formed by the intersection of two ordinary hollow cones such that their points meet and their bases are parallel?
Right Circular Cone
What shape is formed by the intersection of a cone and a plane that is parallel to a cone's base not containing the cone's vertex?
The shape described by the intersection of the cone and the plane is simply a circle.
If plane intersects a right circular cone perpendicular to the axis of the cone then what is the shape of the 2dimensional figure formed from the intersection of the plane with the cone mean?
If this is a homework question, please consider trying to answer it yourself first, otherwise the value the reinforcement of the lesson by doing the homework will be lost to you.If plane intersects a right circular cone perpendicular to the axis of the cone then the shape of the 2 dimensional figure formed from the intersection of the plane with the cone is a circle. At the vertex of the cone, the circle becomes a point. In the general case of any plane intersecting any cone, the intersection is known as a conic section.
What is the best definition of sectionalism?
the figure defined by intersection of a cone and a plane.
What is the definition of a conic section?
the figure defined by intersection of a cone and a plane.
What is the best definition of a conic section?
the figure defined by intersection of a cone and a plane.
What is the best definition of conic section?
the figure defined by intersection of a cone and a plane.
What is the geometric figure formed by intersection of two planes?
A line is.
A plane figure formed by the intersection of a double right cone and a plane?
By "double right cone" do you mean one right cone sitting normal with another right cone upside-down atop the first cone? If so, then we you take that double right cone and intersect it with a plane at different angles, you get the conic sections. (i.e. hyperbola, parabola, elipse, circle)
What type of geometric figure is formed by the intersection of two planes?
line
What type of geometric figure is formed by the intersection of a plane and sphere?
A Circle.
