song tiếp
Definition
- Noun (Mathematics):
- Bitangent: A line that is tangent to a curve at two distinct points. In geometry, it touches the curve at two separate locations without crossing it at those points of tangency.
Usage Examples
- Noun:
- Đường song tiếp của một hình ellipse có thể được xác định bằng phương pháp giải tích. (The bitangent of an ellipse can be determined using analytical methods.)
- Trong bài toán này, chúng ta cần tìm phương trình của song tiếp. (In this problem, we need to find the equation of the bitangent.)
Advanced Usage
- The term is primarily used in advanced geometry, algebraic geometry, and calculus when studying the properties of curves, particularly conic sections and higher-degree curves.
- It can be a key concept in solving problems related to curve sketching, envelope theory, and duality.
Variants and Related Words
- Tiếp tuyến (n): Tangent. A line that touches a curve at a single point.
- Tiếp tuyến của đường tròn vuông góc với bán kính tại điểm tiếp xúc. (The tangent of a circle is perpendicular to the radius at the point of contact.)
Synonyms
- Double tangent: Another term for a line tangent to a curve at two points.
Related Concepts
- Inflection point: A point on a curve where the curvature changes sign.
- Envelope: A curve tangent to a family of lines or curves, which may involve bitangents.