đẳng cự
Definition
Adjective:
- Isometric: In mathematics, particularly geometry, this describes a transformation or mapping that preserves distances between points. Figures related by an isometric transformation are congruent.
- Isometric: In other scientific contexts, such as physics or physiology, it can describe actions or conditions where length or dimension remains constant, such as in isometric muscle contraction.
Noun:
- Isometry: Refers to the isometric transformation itself or the property of being isometric.
Usage Examples
Adjective:
- Phép quay là một phép biến đổi đẳng cự. (A rotation is an isometric transformation.)
- Bài tập đẳng cự giúp tăng sức mạnh cơ bắp. (Isometric exercises help increase muscle strength.)
Noun:
- Đẳng cự bảo toàn khoảng cách giữa các điểm. (An isometry preserves the distance between points.)
Advanced Usage
- "Phép đẳng cự": A common compound term meaning "isometric transformation" or "isometry."
- Phép tịnh tiến là một ví dụ đơn giản của phép đẳng cự. (Translation is a simple example of an isometry.)
Variants and Related Words
- Đẳng cự học (n): Isometrics (the study or system of isometric exercises).
- Ánh xạ đẳng cự (n): Isometric mapping.
Synonyms
- Distance-preserving: A descriptive synonym for the core mathematical meaning.
- Congruent transformation: Specifically in geometry, a transformation that results in congruent figures.
Notes on Usage
- This is a specialized academic term, most frequently encountered in mathematics, physics, and exercise science.
- In everyday Vietnamese, it is not a common word and is primarily used in technical or educational contexts.