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circle and ellipse are closed curved conic section!,
from bilal , Pakistan
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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.
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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.
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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.
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Bi-truncated conic section, or doubly-truncated conic section
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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.
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An ellipse is a conic section which is a closed curve.
A circle is a special case of an ellipse.
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the figure defined by intersection of a cone and a plane.
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The focal radii are the distances from the focal point of a conic section (such as a ellipse or a hyperbola) to a point on the curve along the major or minor axis. They are important in defining the shape and orientation of the conic section.
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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.
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The standard of conic section by linear is the second order polynomial equation. This is taught in math.
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the figure defined by intersection of a cone and a plane.
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the figure defined by intersection of a cone and a plane.
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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.
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A hyperbola
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A circle is a type of conic section, produced by the intersection of a plane and a cone.
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When a circle shape is cut from a cone, it is called a conic section. Conic sections are formed by the intersection of a plane with a cone. Depending on the angle and position of the plane, the conic section can take the form of a circle, ellipse, parabola, or hyperbola. Each type of conic section has unique mathematical properties and equations that describe its shape.
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Aa closed conic section shaped like a flattened circle
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It sounds like this describes the conic section which is 2 straight lines intersecting at the origin [degenerate form of a hyperbola], but I may be misunderstanding the phrasing of the question.
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They are the shapes of the slices when you slice a cone. For example, when you slice it parallel to the base and look at the shape of the slice, you see the conic section known as a "circle". The others are the "ellipse", the "parabola", and the "hyperbola". Which one you get depends only on how you tilt the knife when you slice the cone.
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Hyperbola
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It is a parabola.
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A hyperbola.
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Conic section
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A 2D cone is often referred to as a "conic section." In mathematics, a conic section is a curve obtained by intersecting a cone with a plane. The different types of conic sections include circles, ellipses, parabolas, and hyperbolas, each with unique properties and equations.
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The hyperbola is the curve at the boundary of the intersection of the cone
with a cutting plane parallel to the cone's axis.
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This kind of conic section is a circle
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Calculating the eccentricity requires information about the nature of the conic section.
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The phrase is a "conic section".
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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.
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A parabola.
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Due to most conventional way for writing functions (two parts) that represents a ellipse is (x - a)^2 / c + (y - b)^2 / d = 1, which is similar to those of conic functions (hyperbolas) where + is replaced with - in the middle. Yet you can think of -d replaces d.
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Newton showed that any two objects in space (eg. two planets) whose movement is controlled by gravity will move in a conic section relative to one another. That is why the Earth moves around the sun in an ellipse.
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Map points are actually plotted mathematically, but a conic section is AS THOUGH a paper cone had been lowered onto a globe and the places it touched transfered to the map.
Conic sections are most accurate along the particular parallel of the (imaginary) cone and are mostly used for smaller scales (e.g., 1:5000, 1:12,000).
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Every right circular cone, conic section, and regular polygon
has at least one line of symmetry.
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Every right circular cone, conic section, and regular polygon
has at least one line of symmetry.
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Yes, if you use both sides of the mathematical cone (on each side of the apex).
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1.) A hyperbole is a conic section.
2.) The suspect's explanation was so far fetched that the officer was sure it was simply hyperbole.
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Every right circular cone, conic section, and regular polygon
has at least one line of symmetry.
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Every right circular cone, conic section, and regular polygon
has at least one line of symmetry.
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Those are known as conic section, and they are described by equations of degree 2.
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Those are known as conic section, and they are described by equations of degree 2.
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Conic means pretaining to or ressembling a cone
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