nonintersecting

Thân thiện

Definition

Adjective: 1. (Of lines, planes, or surfaces) never meeting or crossing: Describes geometric entities that do not share any common points and will never meet, even if extended infinitely. This is a fundamental concept in geometry.

Usage

The adjective "nonintersecting" is used to describe a specific spatial relationship between two or more geometric figures. It is a formal, technical term primarily used in mathematics, geometry, engineering, and related fields.

Examples

• In geometry:
• Describing lines:
• Describing planes:

Advanced Usage

• Set Theory: While primarily geometric, the concept can be abstracted. Two sets with no elements in common can be described as nonintersecting sets.
  • Example: The set of prime numbers and the set of even numbers greater than 2 are nonintersecting.

Variants and Related Words

• Parallel (adj): A more common and specific term for lines or planes that are nonintersecting and always equidistant. All parallel lines are nonintersecting, but not all nonintersecting lines are parallel (e.g., skew lines in 3D space are nonintersecting but not parallel).
• Disjoint (adj): Often used in set theory to describe sets with no common elements, synonymous with "nonintersecting" in that context.
• Skew lines (n): A specific term for two non-parallel, nonintersecting lines in three-dimensional space.

Synonyms

• Parallel (in a specific, stricter geometric sense)
• Disjoint (in set theory)
• Non-concurrent

Antonyms

• Intersecting
• Crossing
• Concurrent
• Meeting

Học thuật

Adjective

1. (of lines, planes, or surfaces) never meeting or crossing

Từ đồng nghĩa

• nonconvergent