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

  1. Parallel lines never meet, according to Euclidean geometry.
  2. 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.
  3. Euclidean geometry is named after the Greek polymath from Alexandria, Egypt named Euclide.
  4. Euclidean geometry assumes Euclidean space as a geometrical model for the surrounding space.
  5. In Euclidean geometry, a pair of straight lines are perpendicular if they intersect at a right angle.
  6. Euclidean geometry is a mathematical system based on Euclidean axioms, including the parallel postulate, also known as Euclidean's Third Axiom.
  7. Euclidean geometry serves as a foundation for higher mathematics, such as calculus and linear algebra.
  8. Errors in measurement and approximations in practice make it impossible to verify the validity of Euclidean geometry in the real world.
  9. Euclidean's Third Axiom helps to define the properties of parallel lines and their relationships with other lines in a plane.
  10. 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.