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If it's parallel to the base, it's a circle. If it doesn't go through the base, it's an ellipse. If it's does, it's hyperbolic/parabolic.
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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.
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 term best describes the point line or curve defined by the intersection of a cone and a plane?
Conic section
If a right circular cone is intersected by a plane only at its vertex what shape is produced?
The intersection will consist of only one point.
What figure is formed by the intersection of a cone?
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
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 a right circular cone intersects a plane that runs parallel to the edge of the cone is what?
The intersection of a right circular cone and a plane that is parallel to the edge of the cone is a parabola. However, if the vertex of the cone lies on the plane, then the intersection is simply two intersecting lines.
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).
If a right circular cone intersects a plane that runs parallel to the edge of the cone what will be the result?
The intersection of the cone and that particular plane is a parabola.
What is the intersection of a cone and a plane parallel to a line along the side of a cone?
a parabola
What is produced by the intersection of a cone with a plane that is parallel to the base of the cone?
It is a circle - or at its extreme, a 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 if a right circular cone intersects a plane that passes through one of its nappes but the plane is not parallel to an edge of the cone?
Then the intersection is a hyperbola.
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.
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.
Which term best describes the point line or curve defined by the intersection of a cone and a plane?
It is the base of the cone
