conic section


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conic section

n.
1. The intersection of a right circular cone and a plane, which generates one of a group of plane curves, including the circle, ellipse, hyperbola, and parabola.
2. A graph of the general quadratic equation in two variables.

conic section

n
(Mathematics) one of a group of curves formed by the intersection of a plane and a right circular cone. It is either a circle, ellipse, parabola, or hyperbola, depending on the eccentricity, e, which is constant for a particular curve e = 0 for a circle; e<1 for an ellipse; e = 1 for a parabola; e>1 for a hyperbola. Often shortened to: conic

con′ic sec′tion


n.
a curve formed by the intersection of a plane with a right circular cone; an ellipse, a circle, a parabola, or a hyperbola. Also called conic.
[1655–65]

conic section

A curve formed by the intersection of a plane with a cone. Conic sections can appear as circles, ellipses, hyperbolas, or parabolas, depending on the angle of the intersecting plane relative to the cone's base.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.conic section - (geometry) a curve generated by the intersection of a plane and a circular coneconic section - (geometry) a curve generated by the intersection of a plane and a circular cone
geometry - the pure mathematics of points and lines and curves and surfaces
plane figure, two-dimensional figure - a two-dimensional shape
ellipse, oval - a closed plane curve resulting from the intersection of a circular cone and a plane cutting completely through it; "the sums of the distances from the foci to any point on an ellipse is constant"
parabola - a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve
hyperbola - an open curve formed by a plane that cuts the base of a right circular cone
Translations

conic section

n (Math) → Kegelschnitt m
References in periodicals archive ?
Pressure value at rod head section was computed as 3070 MPa from conic section calculations in Eq.
Right-angle prismatic elements are placed on two (out of eight) northern surface portions of the bottom conic section of collector (triangular prism grooves are perpendicular to the circumference).
Set of the Centers of Inscribed in a Quadrangle Conic Section, Mathematics plus, 4 (2010), 24-30 (in Bulgarian).
Consequently, the orbit is a precesing conic section with eccentricity and hence semi-major axis given by
Otto, 1989) The mixing pipe has two sections: the conic section and the cylindrical one.
Less easy to defend has been the teaching of the parabola as an example of a conic section, and sadly, a study of conics has often been a casualty to the constant erosion of our curriculum time.
7 Conic sections cannot be plotted directly with many dynamic geometry software packages, and a conic section only appears as the locus of some point.
From (2) it follows that E = 0 and the eccentricity of the conic section is found to be (see Appendix 9)
The authors provide a precalculus review before covering limits, differentiations, the applications of the derivative, the integral, applications of the integral, techniques of integration, advanced applications of the integral and Taylor polynomials, differential equations, infinite series, parametric equations, polar coordinates, and conic sections over the bookAEs eleven chapters.
The cutout voids are very complex conic sections, and we never would have been able to model, let alone build, these shapes without the aid of digital design and fabrication technology.
The process can produce vertical, horizontal and angled walls, mixed-material conic sections, enclosed sections, crossovers and intersections.
The topics include before calculus, limits and continuity, the derivative in graphing and applications, principles of integral evaluation, mathematical modeling with differential equations, infinite series, and parametric and polar curves from conic sections.