hình bao
Definition
- Noun:
- Envelope (Mathematics): In geometry, the "envelope" refers to a curve that is tangent to every member of a given family of lines or curves. It is the boundary or containing shape formed by the collective positions of these lines or curves.
Usage Examples
- Noun:
- Đường cong này là hình bao của họ các đường thẳng. (This curve is the envelope of the family of lines.)
- Chúng ta cần xác định hình bao của các quỹ đạo. (We need to determine the envelope of the trajectories.)
Advanced Usage
- "Hình bao của một họ đường cong": envelope of a family of curves.
- Bài toán yêu cầu tìm phương trình hình bao của họ đường cong. (The problem requires finding the equation of the envelope of the family of curves.)
Variants and Related Words
- Đường bao (n): This is a more common synonym for "envelope" in geometrical and technical contexts.
- Đường bao của hình dạng được xác định rõ. (The envelope of the shape is well-defined.)
Synonyms
- Envelope: The boundary curve tangent to a family of curves.
- Enclosing curve: A curve that contains or bounds others.
Related Concepts
- Tiếp tuyến (Tangent): A key concept related to envelopes, as the envelope curve touches each member of the family at a tangent point.
- Họ đường cong (Family of curves): The set of curves from which an envelope is derived.