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conic section

conic section

6.9
A curve made when a flat surface cuts a cone, like an ellipse, parabola, or hyperbola
  • noun
  • /ˈkoʊnɪk ˈsɛkʃən/
  • Specialized
translation icon : sección cónica
  • The three primary types of conic sections are ellipse, parabola, and hyperbola, each defined by their unique intersection properties.

Examples

  • And at least in my personal experience from teaching precalculus, conic sections are the hardest thing for students to learn in a precalculus class.

  • That night, as he knelt with Milla in their bedroom, his mind strayed toward circles and ellipses, the austere perfection of conic sections.

    Fiction book (2002)
  • So we ended up with conic sections, but we if we now take the ratio of these two.

  • You know, you remember the Greeks, they had these conic sections, they had...

  • Many, many centuries later, Kepler used precisely the ellipse and other conic sections to explain how planets actually go around the sun.

  • Special improvements include discontinuity stress calculations for conic sections and stress checks for the WRC 107 local stress calculations.

    Academic text (1997)
  • Beam Two: ray tracing software for designers (or advanced students) of optical systems: lenses, mirrors, irises, conic sections, diagnostic plots, least squares optimizer, etc.

    Academic text (1991)
  • A conic section can be an ellipse, which is created when a plane cuts through a cone at an angle.

  • In geometry, a conic section is a type of curve that can be formed by slicing a cone parallel to its side.

Synonyms

conic
vsconic section
  • Specialized
8.6

A curve made when a flat surface cuts a cone, like an ellipse or parabola

is the longer more formal name for the same curve

Surface Forms

conic section singular

Morphology

conic + section

The term names a slice or section of a cone: combining 'conic' (having the form of a cone) with 'section' (a slice or area formed by cutting) directly yields the geometric meaning. Although somewhat technical, the compound is compositionally transparent and cross-linguistically comparable, so a B1 learner who knows both constituents can infer the MWE's meaning.

Etymology

The noun conic section comes from a simple picture: imagine cutting a cone with a flat slice and the edge of the slice makes different curves like an ellipse, a parabola, or a hyperbola. So conic, meaning the cone, and section, meaning a cut, together explain why the phrase means 'a curve made by cutting a cone'.