Angles are one of the fundamental concepts in mathematics and geometry. They are used to measure the amount of rotation or inclination between two intersecting lines or planes. Angles are used in many real-world applications, such as architecture, engineering, and physics. In this article, we will explore the definition, origin, meaning, associations, synonyms, antonyms, and examples of angles.
Definitions
An angle is a geometric figure formed by two rays or lines that share a common endpoint called a vertex. The rays or lines are called sides or legs of the angle. The measure of an angle is the amount of rotation required to bring one of the rays or lines into coincidence with the other. Angles are typically measured in degrees, radians, or gradians.
Origin
The word “angle” comes from the Latin word “angulus,” which means “corner” or “hook.” The concept of angles has been studied since ancient times by Greek and Indian mathematicians. Euclid, the Greek mathematician, defined angles in his book “Elements” around 300 BC.
Meaning in different dictionaries
The Oxford English Dictionary defines an angle as “the space between two intersecting lines or surfaces at or close to the point where they meet.” Merriam-Webster defines an angle as “the figure formed by two lines extending from the same point.” The Cambridge Dictionary defines an angle as “the space between two lines or surfaces that join, measured in degrees.”
Associations
Angles are associated with many mathematical concepts, such as trigonometry, geometry, and calculus. They are also used in many real-world applications, such as navigation, architecture, engineering, and physics. Angles are often used to describe the shape and orientation of objects, such as buildings, bridges, and machines.
Synonyms
Some synonyms of angle include corner, bend, intersection, juncture, and vertex.
Antonyms
Some antonyms of angle include straight, flat, level, and horizontal.
The same root words
Some words that have the same root as “angle” include angular, angulate, and triangulate.
Example Sentences
- The angle between the two walls was 90 degrees.
- The carpenter used a protractor to measure the angle of the roof.
- The pilot adjusted the plane’s angle of descent to land safely.
- The camera angle gave the scene a dramatic effect.
- The fisherman cast his line at a 45-degree angle.