Euclid's first axiom

8.4

You can draw a straight line between any two points

noun

Specialized

: primer axioma de Euclides

According to Euclid's first axiom, a straight line can connect any two points.

Examples

Many problems in classical geometry are based on Euclid's first axiom.
Without Euclid's first axiom, our understanding of straight lines would be very different.
Euclid's first axiom is fundamental to the study of geometry.
Have you heard about Euclid's first axiom in geometry?
According to Euclid's first axiom, a straight line can connect any two points.
Many problems in classical geometry are based on Euclid's first axiom.
Euclid's first axiom is fundamental to the study of geometry.

Surface Forms

Euclid's first axiom singular

Euclid's first axioms plural

Morphology

Euclid's + first + axiom

The components ('Euclid's' = belonging to the mathematician Euclid, 'first' = primary/ordinal, 'axiom' = fundamental statement) transparently indicate this is Euclid's primary foundational principle. However, the specific content of that axiom (a straight line can be drawn between any two points) cannot be derived from the words alone without background knowledge of Euclidean geometry, so the expression is only partially predictable to a learner.

Etymology

Euclid's first axiom gives an easy picture: imagine two points on paper and drawing a straight line between them with a ruler. That's why it means 'a straight line can be drawn between any two points'.