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If a right circular cone is intersected by a plane that passes through only one nappe of the cone but is not parallel to an edge of the cone what shape is produced?
An ellipse is produced.
What is produced when you slice a cone at different angles?
When a cone is sliced parallel to the base then the shape produced is a circle. If the cone is sliced at an angle so that the cut goes completely through the cone then an ellipse is produced. If the cut is made perpendicular to the cone's base then the shape produced is a parabola.
What are conics?
Conics, or conic sections, are the intersection of a plane with an infinite double cone. If that plane cuts both cones, it is a hyperbola. If it is parallel to the edge of the cone, you get a parabola. If neither is the case, it is an ellipse. The ellipse is also a circle if the plane is perpendicular to the altitude of the cone. Note that none of these are the case if the plane passes through the vertex of the cone.
What does calcinine mean?
Calcinine is a term that refers to a type of mineral or substance that is produced through the process of calcination, which involves heating materials to high temperatures to bring about thermal decomposition. In some contexts, it may also refer to a specific type of calcium compound. The term is not widely used in everyday language and is more common in scientific or industrial discussions related to materials processing.
What is the difference between orifice and notch?
An orifice and a notch are both openings used to measure fluid flow, but they differ in design and application. An orifice is a small hole or opening, typically circular, that allows fluid to flow through and is often used in pressure measurement. In contrast, a notch is a V-shaped or rectangular opening in a weir that allows fluid to flow over its edge, primarily used for measuring the flow rate of open channel flow. The flow characteristics and calculation methods for each are also distinct, with orifices focusing on pressure drops and notches on flow over a defined edge.
If a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe as in the picture below what shape is produced?
When a right circular cone is intersected by a plane that passes through its vertex and touches the edge of each nappe, the resulting shape is a triangle. This triangle is formed by the intersection line extending from the vertex to the edges of the cone's surfaces, effectively creating a triangular cross-section of the cone.
If a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex as in the picture below what shape is produced?
A line is produced
What shape is produced if a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex?
An Ellipse
If a right circular cone is intersected by a plane that passes through only one nappe of the cone but is not parallel to an edge of the cone what shape is produced?
An ellipse is produced.
If a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe what shape is produced?
If a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe, the shape produced is a line. Not asked, but... If the angle of the plane is less than the angle of the cone, then the intersection is a point. If the angle of the plane is greater than the angle of the cone, then the intersection is two lines intersecting at the vertex. If the plane insersects at other than the vertex, then the intersection is a circle when the plane is perpendicular to the cone's axis, an ellipse when the plane's angle is less than the cone's angle, a parabola when the planes's angle equals the cone's angle, and two hyperbole's in the last case.
If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a?
It will be a hyperbola.
If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a(n)?
hyperbola
If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a(n) .?
hyperbola
If a right circular cone is intersected by a plane that passes through only one nape of the cone but is not parallel to an edge of the cone what shape is produced?
When a right circular cone is intersected by a plane that passes through one vertex (nape) of the cone and is not parallel to any edge, the resulting shape is a parabola. This occurs because the plane cuts through the cone in such a way that it creates a curved section, which is characteristic of a parabola. The specific orientation and angle of the plane will determine the exact dimensions and location of the parabola within the cone.
What is it called when a plane intersects a right circular cone through both nappes?
The intersection forms a hyperbola.
What shape is the magnetic field produced when current is passed through wire?
CIRCULAR
What if a right circular cone intersects a plane that passes through one of its nappes but the plane is not parallel to an edge of the cone?
Then the intersection is a hyperbola.
