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A conic is the curve obtained as the intersection of a plane, called the cutting plane, with the surface of a double cone (a cone with two nappes).It is usually assumed that the cone is a right circular cone for the purpose of easy description, but this is not required; any double cone with some circular cross-section will suffice.
conic section interactive visualisation: Image title: Interactive SVG of the derivation of conic sections from cross-sections of a double cone by CMG Lee. Move left and right over the SVG image to turn the double cone. Width: 100%: Height: 100%
Français : Une image SVG illustrant quatre sections coniques: cercle, ellipse, parabole et hyperbole. Polski: Grafika SVG przedstawiająca cztery rodzaje krzywych stożkowych : okrąg , elipsa , parabola i hiperbola .
Media in category "Conic sections" This category contains only the following file. Drawing an ellipse via two tacks a loop and a pen 2.jpg 480 × 640; 24 KB
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In mathematics, the matrix representation of conic sections permits the tools of linear algebra to be used in the study of conic sections.It provides easy ways to calculate a conic section's axis, vertices, tangents and the pole and polar relationship between points and lines of the plane determined by the conic.
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From the fact, that the affine image of a conic section is a conic section of the same type (ellipse, parabola,...), one gets: Any plane section of an elliptic cone is a conic section. Obviously, any right circular cone contains circles. This is also true, but less obvious, in the general case (see circular section).