Conclusion
The Apollonian problem is a mathematical problem that has been studied for centuries. It is named after the ancient Greek mathematician Apollonius of Perga, who first posed the problem in his book “Conics.” The Apollonian problem involves finding a circle tangent to three given circles. In this article, we will explore the definition and meaning of the Apollonian problem, its origin, and its associations.
Definitions
The Apollonian problem is a classic problem in geometry that involves finding a circle that is tangent to three other circles. The problem is named after Apollonius of Perga, who first posed the problem in his book “Conics.” The Apollonian problem is also known as the “tangent circle problem” or the “Apollonian circle problem.”
Origin
The Apollonian problem was first posed by Apollonius of Perga, a Greek mathematician who lived in the third century BCE. Apollonius was a student of Euclid and is known for his work on conic sections, which are curves formed by the intersection of a plane and a cone. The Apollonian problem appears in Apollonius’ book “Conics,” which is a treatise on conic sections.
Meaning in different dictionaries
According to the Oxford English Dictionary, the Apollonian problem is “a geometrical problem of finding a circle tangent to three given circles.” The Merriam-Webster Dictionary defines the Apollonian problem as “a problem in geometry that involves finding a circle that is tangent to three other circles.”
Associations
The Apollonian problem is associated with Apollonius of Perga, who first posed the problem in his book “Conics.” The problem is also associated with the field of geometry and is considered a classic problem in the subject.
Synonyms
The Apollonian problem is also known as the “tangent circle problem” or the “Apollonian circle problem.”
Antonyms
There are no antonyms of the Apollonian problem.
The same root words
The word “Apollonian” is derived from the name of the Greek god Apollo, who was associated with reason, logic, and order. The word “problem” comes from the Greek word “problema,” which means “something thrown forward” or “a question proposed for solution.”
Example Sentences
- The Apollonian problem is a classic problem in geometry that involves finding a circle tangent to three other circles.
- Apollonius of Perga first posed the Apollonian problem in his book “Conics.”
The Apollonian problem is a classic problem in geometry that has been studied for centuries. Named after the ancient Greek mathematician Apollonius of Perga, the problem involves finding a circle tangent to three given circles. The Apollonian problem is associated with the field of geometry and is considered a classic problem in the subject.