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