euclid's third axiom Synonyms
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euclid's third axiom Meaning
Wordnet
euclid's third axiom (n)
a circle with any radius can be drawn around any point
euclid's third axiom Sentence Examples
- Parallel lines never meet, according to Euclidean geometry.
- Euclidean geometers use postulate number 5 to prove the angle sum theorem of a triangle, which is the sum of the angles of a triangle equals 180 degrees.
- Euclidean geometry is named after the Greek polymath from Alexandria, Egypt named Euclide.
- Euclidean geometry assumes Euclidean space as a geometrical model for the surrounding space.
- In Euclidean geometry, a pair of straight lines are perpendicular if they intersect at a right angle.
- Euclidean geometry is a mathematical system based on Euclidean axioms, including the parallel postulate, also known as Euclidean's Third Axiom.
- Euclidean geometry serves as a foundation for higher mathematics, such as calculus and linear algebra.
- Errors in measurement and approximations in practice make it impossible to verify the validity of Euclidean geometry in the real world.
- Euclidean's Third Axiom helps to define the properties of parallel lines and their relationships with other lines in a plane.
- Euclidean geometry provides the foundation for the study of geometry and is widely used in various fields, including architecture, engineering, and physics.
FAQs About the word euclid's third axiom
a circle with any radius can be drawn around any point
No synonyms found.
No antonyms found.
Parallel lines never meet, according to Euclidean geometry.
Euclidean geometers use postulate number 5 to prove the angle sum theorem of a triangle, which is the sum of the angles of a triangle equals 180 degrees.
Euclidean geometry is named after the Greek polymath from Alexandria, Egypt named Euclide.
Euclidean geometry assumes Euclidean space as a geometrical model for the surrounding space.