nội tiếp
Definition
Verb (Mathematics):
- To be inscribed: Describes a geometric figure drawn inside another figure so that all its vertices or points touch the boundary of the outer figure. The inner figure is said to be "nội tiếp" within the outer one.
Adjective (Mathematics):
- Inscribed: Used to describe the geometric figure that is placed inside another in such a manner. For example, an "inscribed circle" or "inscribed angle".
Usage Examples
- Verb/Adjective:
- Đường tròn nội tiếp tam giác. (The circle is inscribed in the triangle.)
- Góc nội tiếp chắn nửa đường tròn là góc vuông. (An inscribed angle subtending a semicircle is a right angle.)
- Họ vẽ một hình vuông nội tiếp đường tròn. (They drew a square inscribed in a circle.)
Advanced Usage
"tâm đường tròn nội tiếp": incenter (of a triangle).
- Tâm đường tròn nội tiếp là giao điểm của ba đường phân giác. (The incenter is the intersection point of the three angle bisectors.)
"tứ giác nội tiếp": cyclic quadrilateral (a quadrilateral inscribed in a circle).
- Một tứ giác là nội tiếp nếu tổng hai góc đối diện bằng 180 độ. (A quadrilateral is cyclic if the sum of its opposite angles equals 180 degrees.)
Variants and Related Words
- Ngoại tiếp (v/adj): circumscribed. Describes a figure drawn outside another, touching it at all vertices or points.
- Đường tròn ngoại tiếp tam giác. (The circle circumscribed about a triangle.)
Synonyms
- Inscribed: (Mathematics) Enclosed within and touching another figure.
- Internally tangent: Specifically for circles or curves touching from inside.
Related Terms and Phrases
- Đường tròn nội tiếp (n): incircle. The circle inscribed inside a polygon, tangent to all its sides.
- Góc nội tiếp (n): inscribed angle. An angle formed by two chords in a circle that have a common endpoint on the circle.
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(toán học) Inscribed
