Meaning of "umbilic" in English

In English, "umbilic" refers to a specific geometric term. It is used in differential geometry to denote a point on a surface where the principal curvatures are equal. This means that at an umbilic point, the surface curves the same way in all directions. This concept is often used in advanced mathematical studies and is crucial in understanding surface geometry. It is sometimes seen in discussions related to mathematical models and theoretical physics.

Meaning of "umbilic" in French

In French, the term "umbilic" is used similarly as in English, primarily in mathematical and geometric contexts. It describes a point on a surface where the principal curvatures converge to a single value, meaning the curvature is uniform in all directions at that point. This concept is part of the field of differential geometry, often explored in mathematical analysis, topology, and various applications involving surface and shape study.

Pronunciation of "umbilic" in English

Phonetic Transcription: [ʌmˈbɪlɪk].

Pronunciation Variations: There are generally no significant regional variations in the pronunciation of the word "umbilic" in English. However, slight differences might occur in stress or intonation depending on regional accents, but they are typically subtle.

Pronunciation of "umbilic" in French

Phonetic Transcription: [œ̃.bilik].

Pronunciation Variations: In French, the pronunciation of "umbilic" remains quite consistent across different regions. The pronunciation follows standard French phonetic rules, with little variation, though slight accents may introduce minor differences in articulation.

Sentence examples in English and translation to French

  1. The mathematician studied the umbilic point on the surface. (Le mathématicien a étudié le point umbilic sur la surface.)

  2. Understanding umbilic points is crucial in geometry. (Comprendre les points umbilics est crucial en géométrie.)

  3. The research focuses on the properties of umbilic surfaces. (La recherche porte sur les propriétés des surfaces umbilics.)

  4. An umbilic point is where a surface curves equally in all directions. (Un point umbilic est là où une surface se courbe également dans toutes les directions.)

  5. The concept of an umbilic is vital in differential geometry. (Le concept d'un umbilic est essentiel en géométrie différentielle.)

  6. He explained the theory of umbilic points in his lecture. (Il a expliqué la théorie des points umbilics dans son cours.)

  7. Umbilic points can be tricky to visualize. (Les points umbilics peuvent être difficiles à visualiser.)

  8. The curvature at an umbilic point is uniform. (La courbure à un point umbilic est uniforme.)

  9. Her dissertation covered umbilic singularities. (Sa thèse portait sur les singularités umbilics.)

  10. Identifying umbilic points helps in analyzing surfaces. (Identifier les points umbilics aide à analyser les surfaces.)

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

Synonyms: -

Antonyms: -

Similar Words: center, vertex, axis, node, focal point.

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

Synonyms: -

Antonyms: -

Similar Words: centre, sommet, axe, nœud, point focal.

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