Vertex Meaning and Definition

Pronunciation

/ˈvɜr.tɛks/ 🔊

Part of Speech

Noun

Definition

A vertex is the point at which two or more lines, edges, or planes intersect in geometry.

Examples

• The mathematician calculated the vertex of the parabola.
• Vertices are essential in graph theory and computer graphics.

Synonyms

• Point
• Intersection

Antonyms

• Edge
• Plane

Additional Information

Vertices play a crucial role in the structure of shapes and graphs, enabling us to describe their properties and behaviors. They can be found in various areas of mathematics, physics, and engineering.

Understanding vertices is essential in understanding many concepts in mathematics and computer science. They can be used to model real-world objects and phenomena, making them a fundamental building block in various fields.

The concept of vertices is closely related to the concept of edges and planes. By analyzing vertices, we can gain insights into the underlying structure of a shape or graph, allowing us to make predictions and draw conclusions about its behavior.

Vertices have many practical applications, including computer graphics, robotics, and navigation systems. By using vertices to represent real-world objects and relationships, we can create more accurate and efficient models, leading to breakthroughs in various fields.

Etymology

The word “vertex” comes from the Latin word “vertex,” meaning “point” or “tip.” It has been used in English since the 15th century to describe the point of intersection of two or more lines, edges, or planes.

Usage Notes

When using the word “vertex,” it’s essential to consider the context in which it is being used. In mathematics, vertices refer to points of intersection, while in computer graphics, they may refer to 3D points in space.

In writing, it’s crucial to use the correct term depending on the subject matter. Using the wrong term can lead to confusion and misunderstandings.

Cultural References

The concept of vertices has been explored in various works of art, literature, and film. For example, the novel “Flatland” by Edwin Abbott Abbott uses the concept of vertices to explore the idea of a two-dimensional world.

Idiomatic Expressions or Phrases

• To cut corners (idiomatic expression)
• To point the way (phrase)

Related Words or Phrases

• Intersection
• Point
• Angle

Collocations

• Vertex angle
• Vertex coordinate
• Vertex mapping

Frequency of Use

The word “vertex” is commonly used in mathematics, computer science, and engineering. However, it’s less frequently used in everyday language.

Common Misspellings

• Verthex
• Verdx
• Veritz