mật tiếp
Definition
Verb (Mathematics):
- To osculate: In geometry, this term describes the action of two curves or surfaces having contact of a higher order than tangency. Specifically, it means they share the same tangent and curvature at a point of contact.
Noun (Mathematics):
- Osculation: The state or condition of two curves or surfaces osculating; the act of osculating.
Usage Examples
- Verb:
- Đường tròn này mật tiếp với đường cong tại điểm P. (This circle osculates with the curve at point P.)
- Noun:
- Sự mật tiếp của hai đường cong được nghiên cứu trong hình học vi phân. (The osculation of two curves is studied in differential geometry.)
Advanced Usage
- "Mặt phẳng mật tiếp": osculating plane.
- Mặt phẳng mật tiếp chứa vectơ tiếp tuyến và vectơ pháp tuyến chính. (The osculating plane contains the tangent vector and the principal normal vector.)
Variants and Related Words
- Sự mật tiếp (n): The act or state of osculation.
- Mật tiếp nhau (v phrase): To osculate with each other.
Synonyms
- To have higher-order contact: A descriptive synonym for the mathematical concept of osculation.
- To kiss (informal, in mathematical contexts): A less formal term sometimes used to describe osculation due to the Latin root meaning "kiss."
Related Terms
- Tiếp tuyến (n): Tangent. Osculation implies tangency as a prerequisite.
- Độ cong (n): Curvature. Osculating curves share the same curvature at the point of contact.