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Glite Dictionary
Euclid's fourth axiom

Euclid's fourth axiom

9.9
An axiom in Euclidean geometry that all right angles are equal
  • noun
  • Specialized
translation icon : cuarto axioma de Euclides
  • According to Euclid's fourth axiom, all right angles are equal to each other.

Examples

  • According to Euclid's fourth axiom, all right angles are equal.

  • The teacher explained how Euclid's fourth axiom underpins the logic of geometric proofs.

  • According to Euclid's fourth axiom, all right angles are congruent.

  • Understanding Euclid's fourth axiom is essential for studying classical geometry.

  • Have you studied Euclid's fourth axiom in your geometry class?

  • The teacher emphasized that Euclid's fourth axiom is crucial for understanding geometry.

  • In geometry, Euclid's fourth axiom states that all right angles are equal.

Surface Forms

Euclid's fourth axiom singular
Euclid's fourth axioms plural

Morphology

Euclid's + fourth + axiom

While the phrase form 'Euclid's fourth axiom' transparently signals 'the fourth axiom attributed to Euclid', the specific propositional content ('all right angles are equal to each other') cannot be inferred from the words themselves. A B1 learner who knows 'Euclid', 'fourth' and 'axiom' would understand it names a numbered mathematical statement but would not be able to derive its mathematical meaning without domain knowledge.

Etymology

Euclid's fourth axiom is a simple rule from Euclid, a long-ago Greek teacher of geometry. It says any right angles look like the corner of a square, so every one is 'the same', which is why the rule means 'all right angles are equal'.