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circle and ellipse are closed curved conic section!, from bilal , Pakistan
Conic section
It is a parabola.
No, a conic section does not have vertices. If it is a circle, it has a center; if it is a parabola or hyperbola, it has a focus; and if it is an ellipse, it has foci.
Calculating the eccentricity requires information about the nature of the conic section.
The phrase is a "conic section".
A conic section is the intersection of a plane and a cone. By changing the angle and location of intersection, we can produce a circle, ellipse, parabola or hyperbola; or in the special case when the plane touches the vertex: a point, line or 2 intersecting lines.Traditionally, the three types of conic section are the hyperbola, the parabola, and the ellipse. The circle is a special case of the ellipse, and is of sufficient interest in its own right that it is sometimes called the fourth type of conic section.
A conic section is the intersection of a plane and a cone.The circle is a conic section where the plane is perpendicular to the axis of the cone. The special case of a point is where the vertex of the cone lies on the plane.The ellipse is a conic section where the plane is not perpendicular to the axis, but its angle is less than one of the nappes. The special case of a point is where the vertex of the cone lies on the plane.The parabola is a conic section where the plane is parallel to one of the nappes. The special case of two intersecting lines is where the vertex of the cone lies on the plane.The hyperbole is a conic section where the angle of the plane is greater than on of the nappes. There are two sides to the hyperbole. The special case of two lines intersecting is where the vertex of the cone lies on the plane.For more information, please see the Related Link below.
Leibniz
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.
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.
Bi-truncated conic section, or doubly-truncated conic section