euclid's postulate Synonyms
No Synonyms and anytonyms found
euclid's postulate Meaning
euclid's postulate (n)
(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
euclid's postulate Sentence Examples
- Euclid's postulate, also known as the parallel postulate, is one of the most famous and controversial theorems in the history of mathematics.
- Euclid's postulate states that, for any given line and a point not on it, there is exactly one line through that point that is parallel to the given line.
- Euclid's postulate was first formulated by the Greek mathematician Euclid in his book Elements.
- Euclid's postulate is equivalent to the statement that the sum of the angles of a triangle is 180 degrees.
- Euclid's postulate is independent of the other axioms of geometry, meaning that it cannot be proven using the other axioms alone.
- The denial of Euclid's postulate leads to non-Euclidean geometries, which are geometries in which the sum of the angles of a triangle is not always 180 degrees.
- Non-Euclidean geometries have been used to explain the structure of the universe, and they are also used in other areas of mathematics and physics.
- Euclid's postulate has been challenged by many mathematicians throughout history, but it has never been proven to be false.
- The status of Euclid's postulate is still a matter of debate among mathematicians, and it is likely to remain so for many years to come.
- Euclid's postulate is one of the most important and influential theorems in the history of mathematics, and it continues to be a source of fascination for mathematicians and non-mathematicians alike.
FAQs About the word euclid's postulate
(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
No synonyms found.
No antonyms found.
Euclid's postulate, also known as the parallel postulate, is one of the most famous and controversial theorems in the history of mathematics.
Euclid's postulate states that, for any given line and a point not on it, there is exactly one line through that point that is parallel to the given line.
Euclid's postulate was first formulated by the Greek mathematician Euclid in his book Elements.
Euclid's postulate is equivalent to the statement that the sum of the angles of a triangle is 180 degrees.
