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Which term best describes the pointline or curve defined by the intersection of a cone and a plane?
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.
How did the cone get its name?
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.
How is pyramid technically a cone with a polygonal base?
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).
Which term best describes the point line or curve defined by the intersection of a cone or plane?
Those are known as conic section, and they are described by equations of degree 2.
What does the cone has?
a cone has circle at bottom
Which term best describes the point line or curve defined by the intersection of a cone and a plane?
It is the base of the cone
Which term best describes the pointline or curve defined by the intersection of a cone and a plane?
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.
A supersonic aircraft produces a shock wave that describes a 30 degree cone What happens to the length to the angle of the cone as the aircraft travels faster?
It gets smaller or narrower.
What term best describes the point line or curve defined by the intersection of a cone and a plane?
Conic section
How did the cone get its name?
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.
What is axisymmetric?
Axisymmetric describes the rotational symmetry referring to an object being symmetrical and cylindrical on an axis. For example, a cone.
What is the term that best describes the point line or curve defined by the intersection of a cone and a plane?
The phrase is a "conic section".
Which of the following conic sections describes a closed circle?
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.
How is pyramid technically a cone with a polygonal base?
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).
Which term best describes the point line or curved defined by the intersection of a cone and a plane?
Those are known as conic section, and they are described by equations of degree 2.
Which term best describes the point line or curve defined by the intersection of a cone or plane?
Those are known as conic section, and they are described by equations of degree 2.
What is a conic section formed by the intersection of a right circular cone by a plane that cuts the axis and the surface of the cone called?
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.
