geometrically

Thân thiện

The pattern on the wallpaper repeats geometrically.

Definition

Adverb 1. In a manner relating to or using the principles of geometry: Describes something done, arranged, or calculated according to geometric rules, shapes, or progressions. 2. With respect to geometry; from a geometric perspective: Used to discuss the properties, characteristics, or interest of a form or structure in terms of geometry.

Usage Examples

• Adverb (Manner):
  • The tiles were arranged geometrically to form a perfect tessellation.
  • The company's user base increased geometrically, doubling every six months.
• Adverb (Perspective):
  • Geometrically, a circle is defined as the set of all points equidistant from a center.
  • This pattern is geometrically complex and fascinating to study.

Advanced Usage

• "Geometrically similar": Having the same shape but different size (scale).
  • All squares are geometrically similar to each other.
• "Geometrically precise": Extremely accurate in terms of shape, angle, or measurement.
  • The architect's drawings were geometrically precise.

Variants and Related Words

• Geometric (adjective): Of or relating to geometry and its principles.
  • The artist used geometric shapes in her painting.
• Geometry (noun): The branch of mathematics concerned with the properties and relations of points, lines, surfaces, and solids.
  • She studied Euclidean geometry in school.

Synonyms

• Mathematically (in a mathematical way)
• Systematically (in a systematic way, often for the "manner" sense)

Related Phrases

• Geometric progression/sequence: A sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number (the common ratio). This is a key context for the "manner" sense.
  • The series 2, 4, 8, 16 is a geometric progression.

Học thuật

Adverb

1. in a geometric fashion
   • it grew geometrically
2. with respect to geometry
   • this shape is geometrically interesting