curvilinear

/,kə:vi'liniə/
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curvilinear

The artist drew a curvilinear pattern on the pottery.

Definition

Adjective: 1. Characterized by or consisting of a curved line or lines: Describing a shape, design, or motion that is formed by or follows a curved path, rather than straight lines or angles. 2. Relating to or represented by a curved line: Pertaining to graphical representation, mathematical functions, or architectural elements that involve curves.

Usage and Examples
  • General Description:

    • The artist preferred a curvilinear style, filling the canvas with flowing, organic shapes.
    • The new building's design featured curvilinear forms, creating a soft and dynamic facade.
  • In Mathematics and Physics:

    • The study of curvilinear motion is essential in understanding planetary orbits.
    • The graph required a curvilinear coordinate system to accurately represent the data.
  • In Art and Architecture:

    • Gothic architecture often incorporates curvilinear tracery in its windows.
    • The sculpture was admired for its elegant curvilinear contours.
Advanced Usage
  • "Curvilinear regression": A statistical method for modeling relationships where the trend is a curve, not a straight line.

    • The data showed a clear pattern, so the analyst used curvilinear regression for a better fit.
  • "Curvilinear perspective": A drawing technique that represents a wide field of view by curving straight lines, often used for panoramic scenes.

    • The mural employed curvilinear perspective to immerse the viewer in the landscape.
Variants and Related Words
  • Curvilineal (adjective): An alternate, less common form with the same meaning as 'curvilinear'.
    • The manuscript contained curvilineal diagrams.
  • Curvilinearity (noun): The quality or state of being curvilinear.
    • The curvilinearity of the design made it feel more natural.
Synonyms
  • Curved: Having a smooth, rounded bend.
  • Arced: Forming an arc or part of a circle.
  • Sinuous: Having many curves and turns.
  • Winding: Having a twisting or spiral course.
Antonyms
  • Rectilinear: Characterized by straight lines.
  • Linear: Arranged in or extending along a straight line.
  • Angular: Having sharp corners or angles.
Related Phrases and Concepts
  • Curvilinear coordinates: A coordinate system where the coordinate lines may be curved, such as polar or spherical coordinates.
    • Solving the physics problem was easier using curvilinear coordinates.
  • Curvilinear relationship: A relationship between two variables that is best described by a curved line on a graph.
    • The study found a curvilinear relationship between practice time and skill improvement.
curvilinear

The artist drew a curvilinear pattern on the pottery.

Adjective
  1. characterized by or following a curved line
    • curvilinear tracery
    • curvilinear motion

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