conic section


Also found in: Thesaurus, Medical, Encyclopedia, Wikipedia.

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).
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.
From (2) it follows that E = 0 and the eccentricity of the conic section is found to be (see Appendix 9)
This textbook explores the configurations of points, lines, and planes in space defined geometrically, translates them into algebraic form using the coordinates of a representative point of the locus, and derives the equations of the conic sections.
The chapters cover inequalities, equations, and graphs; functions; polynomial and rational functions; trigonomic functions; exponential and logarithmic functions; and conic sections.
This honors course includes concepts typically covered in intermediate, advanced, and college algebra, including functions and graphing, exponential and logarithmic functions, theory of equations, conic sections, matrices and determinants, and an introduction to probability.