line roulette

Friendly

Word: Line Roulette

Part of Speech: Noun

Definition: A "line roulette" is a geometric concept where a point on one shape moves around another shape and creates a line. Imagine a circle rolling around the outside of another circle. As it rolls, it traces out a line in the air, and that's called a line roulette.

Usage Instructions:

• Use "line roulette" when discussing concepts in geometry, particularly in relation to curves and shapes.
• It’s often used in more advanced mathematics, so it may not come up in everyday conversation.

Example:

• "When the smaller circle rolls around the larger circle, the path it traces is known as a line roulette."

Advanced Usage:

In advanced mathematics, you might study various types of line roulettes, like "circular roulettes," where circles of different sizes create different kinds of paths, or "hypotrochoids," which involve a point on a smaller circle rolling inside a larger circle.

Word Variants:

• Line: Can refer to a straight or curved mark or a series of points.
• Roulette: Sometimes refers to a gambling game, but in this context, it relates to the geometric concept.

Different Meanings:

• In geometry, it specifically refers to the path traced by the movement of a point on a shape.
• In other contexts, "roulette" can refer to a game of chance, but that is not related to the geometric meaning.

Synonyms:

• Path
• Trace
• Curve

Idioms and Phrasal Verbs:

• There are no specific idioms or phrasal verbs directly associated with "line roulette," as it is a technical term primarily used in mathematics.

Summary:

"Line roulette" is a specialized term in geometry describing the line created by a point moving around another shape.

Academic

Noun

1. a line generated by a point on one figure rolling around a second figure

Synonyms

• roulette