euclidean axiom Synonyms
No Synonyms and anytonyms found
euclidean axiom Meaning
Wordnet
euclidean axiom (n)
(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
euclidean axiom Sentence Examples
- The Euclidean axiom states that any two points can be joined by a straight line.
- This axiom is one of the foundational pillars of Euclidean geometry.
- It is used to define other concepts such as distance and angle.
- The Euclidean axiom is also known as the line segment axiom.
- It is one of the simplest and most intuitive axioms in geometry.
- However, it is also one of the most important, as it is used to prove many other theorems.
- For example, the Euclidean axiom is used to prove that the sum of the angles in a triangle is always 180 degrees.
- It is also used to prove that the Pythagorean theorem is true.
- The Euclidean axiom is a powerful tool that has been used to develop a vast body of mathematical knowledge.
- It is one of the most important axioms in all of mathematics.
FAQs About the word euclidean axiom
(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
No synonyms found.
No antonyms found.
The Euclidean axiom states that any two points can be joined by a straight line.
This axiom is one of the foundational pillars of Euclidean geometry.
It is used to define other concepts such as distance and angle.
The Euclidean axiom is also known as the line segment axiom.
