Definition

1. Noun:
   • Line of intersection: In geometry, the line formed where two surfaces meet or intersect.

Usage Examples

• Noun:
  • Giao tuyến của hai mặt phẳng là một đường thẳng. (The line of intersection of two planes is a straight line.)
  • Chúng ta cần tìm giao tuyến của hình cầu và hình trụ. (We need to find the line of intersection of the sphere and the cylinder.)

Advanced Usage

• Mathematical Context: The term is used almost exclusively in geometry and mathematics to describe the common line shared by two intersecting surfaces, such as planes, cones, or cylinders.
  • Giao tuyến này xác định ranh giới chung của hai khối đa diện. (This line of intersection defines the common boundary of the two polyhedrons.)

Variants and Related Words

• Giao điểm (n): Point of intersection. The point where two lines or curves meet.
  • Hai đường thẳng cắt nhau tại một giao điểm. (The two straight lines intersect at a point of intersection.)
• Mặt phẳng (n): Plane. A flat, two-dimensional surface.
• Đường thẳng (n): Straight line.

Synonyms

• Đường cắt nhau: Intersecting line. (A more general, descriptive term).
• Đường giao nhau: Intersection line. (A common alternative phrasing).

Notes on Meaning

• Specificity: "Giao tuyến" is a precise technical term. In everyday language, one might simply describe the concept as "đường hai mặt cắt nhau" (the line where two surfaces cut each other), but "giao tuyến" is the correct and concise term in mathematics.
• Scope: It specifically refers to the intersection of , resulting in a . For the intersection of lines (resulting in a point), the term "giao điểm" is used.

1. Line of intersection