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Glite Dictionary
Euclid's second axiom

Euclid's second axiom

9.9
A rule that you can extend any straight line without end in both directions
  • noun
  • Specialized
translation icon : segundo axioma de Euclides
  • According to Euclid's second axiom, any finite straight line can be extended continuously without limit in a straight line.

Examples

  • According to Euclid's second axiom, a line can be extended indefinitely.

  • The teacher explained Euclid's second axiom as a foundation for constructing infinite lines in geometry.

  • According to Euclid's second axiom, a straight line can be extended without any limit in either direction.

  • Understanding Euclid's second axiom is essential to grasp the concept of unbounded lines in classical geometry.

  • Can you explain Euclid's second axiom to me?

  • The principles of geometry are built on Euclid's second axiom, which states that a straight line can be extended indefinitely.

  • In geometry, Euclid's second axiom dictates that one can draw a straight line that continues without end.

Surface Forms

Euclid's second axiom singular
Euclid's second axioms plural

Morphology

Euclid's + 2nd + axiom

The phrase is a straightforward possessive + ordinal + noun construction: 'Euclid's' (author), 'second' (ordinal), 'axiom' (fundamental statement), so a learner who knows those words will understand it refers to the second axiom formulated by Euclid. This compositional, referential naming pattern is predictable and cross-linguistically common, even if the learner would not know the axiom's detailed content without background in geometry.

Etymology

Euclid's second axiom is a simple rule from the ancient Greek mathematician Euclid: imagine a short straight line and keep making it longer so you can extend it 'without limit'. That's why the axiom means a line can be stretched on and on and so has no end.