Definition

1. 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.

2. 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.