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All sections are obtained when a plane intersects the cones.

If the plane is parallel to the plane of the circle which generates the cones the section will be a circle.


If the plane is inclined to the above plane at an angle that is less than the angle of inclination of the cone, you will get an ellipse.


When the inclination of the plane equals the inclination of the cone you will get a parabola.


Finally, if the inclination of the plane is greater than the inclination of the cone, you will get a hyperbola.

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Q: How is each conical section obtained from a double cone?
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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 adjective of cone?

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Can a triangle be obtained on the cross section of a cone?

Yes if cut in half from its apex to its base diameter.


Why are conic section called conic sections?

Circles, ellipses, parabolas, and hyperbolas are called conic sections because they can be obtained as a intersection of a plane with a double- napped circular cone. If the plane passes through vertex of the double-napped cone, then the intersection is a point, a pair of straight lines or a single line. These are called degenerate conic sections. Because they are sections of a cone or a cone shaped object.


What shape is a side of a cone?

The side of a cone is - not surprisingly - conical is shape. Its net is a sector of a circle.


What degenerate form or forms of the parabola cannot be obtained from the intersection of a plane and a double napped cone?

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Is conical an adjective?

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