A cone is a 3D object having a flat circular base with a tapering circular body meeting at its vertex and its looks like a witch's hat.
The term that best describes the curve formed by the intersection of a cone and a plane is a "conic section." Depending on the angle and position of the plane relative to the cone, the conic section can be classified as a circle, ellipse, parabola, or hyperbola. Each of these shapes represents a different type of intersection based on the geometric relationship between the cone and the plane.
The cone got its name from its shape, which resembles a geometric cone. The term originates from the Latin word "conus," derived from the Greek "kōnos," both referring to the conical form. This shape is characterized by a tapering structure that widens at the base, similar to the shape of an ice cream cone or a traffic cone. The name effectively describes the distinctive properties of this geometric figure.
It isn't a cone at all, technically or otherwise, by definition. A cone has a circular base; a pyramid, a polygonal one. In fact I think it's strictly only a pyramid if it has a quadrilateral base - anything else being a "~hedron" where the "~" part describes the number of faces, such as the Tetrahedron (4 triangular faces).
Those are known as conic section, and they are described by equations of degree 2.
a cone has circle at bottom
It is the base of the cone
The term that best describes the curve formed by the intersection of a cone and a plane is a "conic section." Depending on the angle and position of the plane relative to the cone, the conic section can be classified as a circle, ellipse, parabola, or hyperbola. Each of these shapes represents a different type of intersection based on the geometric relationship between the cone and the plane.
It gets smaller or narrower.
Conic section
The cone got its name from its shape, which resembles a geometric cone. The term originates from the Latin word "conus," derived from the Greek "kōnos," both referring to the conical form. This shape is characterized by a tapering structure that widens at the base, similar to the shape of an ice cream cone or a traffic cone. The name effectively describes the distinctive properties of this geometric figure.
Axisymmetric describes the rotational symmetry referring to an object being symmetrical and cylindrical on an axis. For example, a cone.
The phrase is a "conic section".
The question is incomplete, because "the following" was not provided. A circle, however, is a conic section where the sectioning plane is perpendicular to the cone's axis of symmetry and intersects each generator or, more specifically, if it is not a right circular cone, parallel to the generating circle of the cone.
It isn't a cone at all, technically or otherwise, by definition. A cone has a circular base; a pyramid, a polygonal one. In fact I think it's strictly only a pyramid if it has a quadrilateral base - anything else being a "~hedron" where the "~" part describes the number of faces, such as the Tetrahedron (4 triangular faces).
Those are known as conic section, and they are described by equations of degree 2.
Those are known as conic section, and they are described by equations of degree 2.
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.