Axisymmetric is a term that refers to a particular type of symmetry in which an object or system is symmetrical around an axis. This term is used in various fields, including mathematics, physics, engineering, and biology. In this article, we will explore the definition, origin, and meaning of axisymmetric, as well as its associations, synonyms, and antonyms.
Definitions
Axisymmetric is a term used to describe a system that is symmetrical around an axis. This means that the system looks the same when rotated around a central axis. In mathematical terms, axisymmetric refers to a function or equation that remains the same when rotated around an axis.
In engineering, axisymmetric refers to a system or component that is designed to be symmetrical around an axis. This type of design is often used in the construction of cylindrical or spherical objects, such as pipes, tanks, and pressure vessels.
Origin
The term axisymmetric comes from the Greek words “axis,” which means “axle” or “pivot,” and “symmetria,” which means “symmetry.” The concept of axisymmetric symmetry has been used in various fields for centuries, but the term itself was first used in the early 20th century.
Meaning in different dictionaries
According to the Merriam-Webster dictionary, axisymmetric means “symmetrical about an axis.” The Oxford English Dictionary defines it as “having symmetry about an axis,” while the Cambridge Dictionary describes it as “having a shape that is the same when turned around a central point.”
Associations
Axisymmetric is often associated with cylindrical or spherical objects, as these shapes are naturally symmetrical around an axis. It is also associated with rotational symmetry, which is a type of symmetry that occurs when an object looks the same after being rotated around an axis.
In physics, axisymmetric symmetry is often used to describe the behavior of rotating objects, such as planets and stars. In engineering, axisymmetric designs are often used to reduce stress and improve the efficiency of mechanical systems.
Synonyms
Some synonyms for axisymmetric include:
- Radial symmetry.
- Rotational symmetry.
- Circular symmetry.
- Axial symmetry.
- Central symmetry.
Antonyms
Antonyms for axisymmetric include:
- Asymmetric.
- Irregular.
- Non-symmetrical.
- Unbalanced.
The same root words
The same root words as axisymmetric include:
- Symmetry.
- Symmetrical.
- Asymmetry.
- Symmetrize.
Example Sentences
- The pressure vessel was designed to be axisymmetric, with a cylindrical shape and symmetrical end caps.
- The planet’s axisymmetric rotation meant that its poles experienced extreme temperatures and weather conditions.
- The mathematical equation had axisymmetric symmetry, meaning it remained the same when rotated around a central axis.