Meaning of "quadric" in English

In mathematics, "quadric" refers to a type of surface that can be defined by a quadratic equation in three variables. It encompasses various geometric shapes such as ellipsoids, hyperboloids, and paraboloids, commonly analyzed in algebraic geometry. Quadrics are significant because they appear naturally in various fields such as physics and computer graphics. Understanding the properties of quadrics, such as their intersections and transformations, is crucial for applications ranging from 3D modeling to solving complex physics problems.

Meaning of "quadrique" in French

In French, "quadrique" describes a geometric surface defined by a quadratic equation in three-dimensional space. This term is used in the context of algebraic geometry to describe surfaces such as ellipsoids, paraboloids, and hyperboloids. Quadrics hold importance in various scientific disciplines, including physics and computer sciences, due to their mathematical properties, which are used in modeling and simulations. Understanding the characteristics of a quadrique is vital for applications that require precise mathematical modeling.

Pronunciation of "quadric" in English

Phonetic Transcription: /ˈkwɒdrɪk/

Pronunciation Variations: The pronunciation of "quadric" remains relatively consistent across different English dialects, with minor variations in stress or accentuation found in regions such as the UK or the US.

Pronunciation of "quadrique" in French

Phonetic Transcription: /kwa.dʁik/

Pronunciation Variations: The pronunciation of "quadrique" is stable across French-speaking regions, though slight variations might occur due to accent differences in areas such as France or Canada.

Sentence examples in English and translation to French

  1. The engineer studied the properties of the quadric surface.
    (L'ingénieur a étudié les propriétés de la surface quadrique.)

  2. Quadric equations are essential in computer graphics rendering.
    (Les équations quadriques sont essentielles dans le rendu infographique.)

  3. The mathematician solved the complex quadric problem.
    (Le mathématicien a résolu le problème quadrique complexe.)

  4. She used a quadric representation in the physics simulation.
    (Elle a utilisé une représentation quadrique dans la simulation physique.)

  5. Understanding quadric surfaces is crucial for 3D modeling.
    (Comprendre les surfaces quadriques est crucial pour la modélisation 3D.)

  6. The design involved multiple quadric transformations.
    (La conception impliquait de multiples transformations quadriques.)

  7. His research focused on hyperbolic quadric forms.
    (Sa recherche était centrée sur les formes quadriques hyperboliques.)

  8. The architecture incorporated a novel quadric shape.
    (L'architecture a incorporé une forme quadrique novatrice.)

  9. Solving quadric equations can be challenging.
    (Résoudre les équations quadriques peut être difficile.)

  10. The artist was inspired by quadric geometrical patterns.
    (L'artiste était inspiré par des motifs géométriques quadriques.)

Synonyms, antonyms, and similar words for "quadric" in English

Synonyms: conic, quadratic, surface, curve.

Antonyms: -

Similar Words: paraboloid, ellipsoid, hyperboloid, geometry, algebraic surface.

Synonyms, antonyms, and similar words for "quadrique" in French

Synonyms: surface quadratique, conique, forme quadratique.

Antonyms: -

Similar Words: paraboloïde, ellipsoïde, hyperboloïde, géométrie, surface algébrique.

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