conic

/'kɔnik/
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conic

A child points at a conic volcano in a textbook.

Definition

  1. Adjective:

    • Relating to or shaped like a cone: Describing something that has the form, properties, or characteristics of a cone.
    • Of or relating to a geometric cone: Pertaining to the three-dimensional shape with a circular base tapering to a point.

  2. Noun:

    • A conic section: In geometry, a curve obtained by intersecting a plane with a right circular conical surface. The primary conic sections are the circle, ellipse, parabola, and hyperbola.
Usage Examples

  • Adjective:

    • The conic shape of the volcano was clearly visible from the air.
    • The architect designed a building with a striking conic roof.

  • Noun:

    • The ellipse is a type of conic.
    • In our math class, we learned how to graph each conic from its equation.
Advanced Usage

  • "Conic projection": A map projection in which the surface of a sphere is projected onto a cone.

    • The conic projection is often used for mapping mid-latitude regions.

  • "Conic section": The specific term for the curves (circle, ellipse, parabola, hyperbola) formed by the intersection of a plane and a cone.

    • The orbit of a planet around the sun forms a conic section, typically an ellipse.
Variants and Related Words

  • Conical (adj): Having the shape of a cone; cone-shaped.

    • She wore a traditional conical hat.

  • Conically (adv): In a conical manner.

    • The tower tapered conically towards the top.
Synonyms
  • Adjective: Cone-shaped, tapering, pyramidal (though pyramidal implies a polygonal base).
  • Noun: Conic section, conic curve.
Related Phrases
  • "Degenerate conic": A conic section that degenerates into simpler forms like a point, a line, or a pair of lines, when the intersecting plane passes through the cone's vertex.
    • When the plane goes through the apex, the intersection can result in a degenerate conic.
Related Idioms

(Note: As a technical term, "conic" is not commonly used in idiomatic expressions. Its usage is primarily mathematical and descriptive.)

conic

A child points at a conic volcano in a textbook.

Adjective
  1. relating to or resembling a cone
    • conical mountains
    • conelike fruit
Noun
  1. (geometry) a curve generated by the intersection of a plane and a circular cone

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