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Tilt of cutting plane is between (perpendicular to axis of the cone) and (parallel to the side of the cone).

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Q: Cutting section of cone in ellipse?
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Related questions

What is the horrizontal cross section of a cone?

If it a right cone then it is a circle, otherwise an ellipse.


What is the tilted away cross section of a cone?

Depends on the way you cut the cone, but the outline is either an ellipse or a parabola.


How conics generated?

A conic section is generated by the intersection of a plane with a double cone. The specific shape of the conic section (ellipse, parabola, hyperbola, or circle) depends on the angle of the plane in relation to the axis of the cone. The different conic sections result from different orientations of the cutting plane.


What is produced when you slice a cone with a plane that passes through only one nappe of the cone but that is not parallel to an edge of the cone?

The "conic section" that is produced when you slice a cone with a plane that passes through only one nappe of the cone but that is not parallel to an edge of the cone is known as an ellipse. In the case where the plane is perpendicular to the axis of the cone, the ellipse becomes a circle.


What shape is a possible cross section of a cone?

A point, a straight line, a circle, an ellipse, a parabola and half a hyperbola.


What a conic section?

A conic section is a curve formed by the intersection of a plane with a cone (conical surface). If the section is parallel to the base of the cone, the conic section has a fixed diameter and is a circle. Any other plane that does not intersect the apex is either a parabola, a hyperbola, or an ellipse.


What is a conic section?

A conic section is a curve formed by the intersection of a plane with a cone (conical surface). If the section is parallel to the base of the cone, the conic section has a fixed diameter and is a circle. Any other plane that does not intersect the apex is either a parabola, a hyperbola, or an ellipse.


What is the shape of sides of a cone?

In a right circular cone the base is a circle and the sloped side is a sector of a circle. For a general cone, they are an ellipse and a sector of an ellipse.


What shape of the planets orbit?

The planets orbit in an ellipse. An ellipse is described as a geometric shape where the sum of the distance from the foci at any point is the same. An ellipse has three main points. Two foci and a center like a circle. While a true circle has all its external points equidistant from its center, an ellipse measures its points from the foci, which are equidistant to the center point at on both sides. The planets ellipse is closer to a circle than an all out ellipse, however, the orbit is still a true ellipse. It is also true that the shape of a planet's orbit (an ellipse) is a conic section, i.e. the intersection of a right circular cone where the intersecting plane is not perpendicular to the cone's axis, but less than being parallel to one of the cone's nappes.


If a right circular cone intersects a plane that runs parallel to the edge of the cone the result curve will be?

If a right circular cone intersects a plane that runs parallel to the edge of the cone the result curve will be a parabola, unless the intersection includes the vertex of the cone, in which case the intersection is a straight line. This is a conic section. Depending on the angle of the plane, the section will be a circle, an ellipse, a parabola, or two hyperboles.


What is the shape of the base of a cone?

The base of a cone is always a circle. it also can be a ellipse.


What is hyperbola in conic section?

The hyperbola is the curve at the boundary of the intersection of the conewith a cutting plane parallel to the cone's axis.